diff --git a/BVAP-biased ReCom.ipynb b/BVAP-biased ReCom.ipynb new file mode 100644 index 0000000..d90a5b8 --- /dev/null +++ b/BVAP-biased ReCom.ipynb @@ -0,0 +1,1465 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "%config InlineBackend.figure_formats = ['svg']\n", + "import matplotlib.pyplot as plt\n", + "from gerrychain import (GeographicPartition, Partition, Graph, MarkovChain,\n", + " proposals, updaters, constraints, accept, Election)\n", + "from gerrychain.proposals import recom\n", + "from gerrychain.metrics import mean_median\n", + "from bvap_recom import bvap_biased_recom\n", + "from functools import partial\n", + "import pandas as pd\n", + "import matplotlib.pyplot as plt; plt.style.use('ggplot')\n", + "import tqdm" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/anaconda3/envs/VRDI/lib/python3.7/site-packages/gerrychain/graph/adjacency.py:68: UserWarning: Found overlaps among the given polygons. Indices of overlaps: {(887, 892), (892, 914), (887, 893)}\n", + " overlaps\n", + "/anaconda3/envs/VRDI/lib/python3.7/site-packages/gerrychain/graph/graph.py:249: UserWarning: NA values found in column G17DGOV!\n", + " warnings.warn(\"NA values found in column {}!\".format(column))\n" + ] + } + ], + "source": [ + "graph = Graph.from_file(\"data/VA_precincts/VA_precincts.shp\")" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "for node in graph.nodes:\n", + " total_pop = graph.nodes[node]['TOTPOP']\n", + " bvap = graph.nodes[node]['BVAP']\n", + " graph.nodes[node]['nBVAP'] = total_pop - bvap\n", + " graph.nodes[node]['population'] = total_pop" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "# from https://gerrychain.readthedocs.io/en/latest/user/recom.html\n", + "my_updaters = {\n", + " \"population\": updaters.Tally(\"TOTPOP\", alias=\"population\"),\n", + " \"cut_edges\": updaters.cut_edges,\n", + "}\n", + "elections = [\n", + " Election(\"BVAP\", {\"BVAP\": \"BVAP\", \"nBVAP\": \"nBVAP\"})\n", + "]\n", + "election_updaters = {election.name: election for election in elections}\n", + "my_updaters.update(election_updaters)" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": {}, + "outputs": [], + "source": [ + "import bvap_recom\n", + "from importlib import reload\n", + "bvap_recom = reload(bvap_recom)\n", + "\n", + "initial_partition = GeographicPartition(graph, assignment=\"HDIST_11\", updaters=my_updaters)\n", + "ideal_population = sum(initial_partition[\"population\"].values()) / len(initial_partition)\n", + "pop_tolerance = 0.15\n", + "\n", + "proposal = partial(bvap_recom.bvap_biased_recom,\n", + " pop_col=\"TOTPOP\",\n", + " bvap_col=\"BVAP\",\n", + " pop_target=ideal_population,\n", + " epsilon=pop_tolerance,\n", + " node_repeats=5,\n", + " target_districts=[86, 87],\n", + " p_target=0.25\n", + " )\n", + "\n", + "compactness_bound = constraints.UpperBound(\n", + " lambda p: len(p[\"cut_edges\"]),\n", + " 2*len(initial_partition[\"cut_edges\"])\n", + ")\n", + "\n", + "pop_constraint = constraints.within_percent_of_ideal_population(initial_partition, pop_tolerance)" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": {}, + "outputs": [], + "source": [ + "chain = MarkovChain(\n", + " proposal=proposal,\n", + " constraints=[\n", + " pop_constraint,\n", + " compactness_bound\n", + " ],\n", + " accept=accept.always_accept,\n", + " initial_state=initial_partition,\n", + " total_steps=1000\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "--- Run 0 ---\n" + ] + }, + { + "ename": "NameError", + "evalue": "name 'chain' is not defined", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[1;32m 3\u001b[0m \u001b[0;32mfor\u001b[0m \u001b[0mrun\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mrange\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 4\u001b[0m \u001b[0mprint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m'--- Run'\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mrun\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m'---'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 5\u001b[0;31m \u001b[0;32mfor\u001b[0m \u001b[0midx\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mpart\u001b[0m \u001b[0;32min\u001b[0m \u001b[0menumerate\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mchain\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mwith_progress_bar\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 6\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0midx\u001b[0m \u001b[0;34m%\u001b[0m \u001b[0;36m25\u001b[0m \u001b[0;34m==\u001b[0m \u001b[0;36m0\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0mprint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0midx\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 7\u001b[0m \u001b[0mbvaps\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0msorted\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mpart\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m'BVAP'\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mpercents\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m'BVAP'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31mNameError\u001b[0m: name 'chain' is not defined" + ] + } + ], + "source": [ + "bvap_86 = []\n", + "bvap_87 = []\n", + "for run in range(1):\n", + " print('--- Run', run, '---')\n", + " for idx, part in enumerate(chain.with_progress_bar()):\n", + " if idx % 25 == 0: print(idx)\n", + " bvaps = sorted(part['BVAP'].percents('BVAP'))\n", + " bvap_86.append(bvaps[86])\n", + " bvap_87.append(bvaps[87])" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": {}, + "outputs": [ + { + "data": { + "image/svg+xml": [ + "\n", + "\n", + "\n", + "\n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.scatter(bvap_86, bvap_87)\n", + "plt.xlabel('BVAP 86')\n", + "plt.ylabel('BVAP 87')\n", + "plt.title(f'BVAP-biased ReCom ({len(bvap_86)} runs)')\n", + "#plt.savefig('results/bvap_biased_recom/bvap_86_vs_87.png', dpi=300)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.3" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/PA_bpop_16_17_normal_recom.png b/PA_bpop_16_17_normal_recom.png new file mode 100644 index 0000000..a5a5da3 Binary files /dev/null and b/PA_bpop_16_17_normal_recom.png differ diff --git a/PA_bpop_boxplot_biased_recom.png b/PA_bpop_boxplot_biased_recom.png new file mode 100644 index 0000000..0823758 Binary files /dev/null and b/PA_bpop_boxplot_biased_recom.png differ diff --git a/PA_bpop_boxplot_normal_recom.png b/PA_bpop_boxplot_normal_recom.png new file mode 100644 index 0000000..b005f64 Binary files /dev/null and b/PA_bpop_boxplot_normal_recom.png differ diff --git a/PA_histogram_biased ReCom.png b/PA_histogram_biased ReCom.png new file mode 100644 index 0000000..0d42941 Binary files /dev/null and b/PA_histogram_biased ReCom.png differ diff --git a/PA_histogram_normal ReCom.png b/PA_histogram_normal ReCom.png new file mode 100644 index 0000000..d3adaa7 Binary files /dev/null and b/PA_histogram_normal ReCom.png differ diff --git a/Pareto_frontier (2).pdf b/Pareto_frontier (2).pdf new file mode 100644 index 0000000..1a7bbb9 Binary files /dev/null and b/Pareto_frontier (2).pdf differ diff --git a/Pennsylvania biased recom bpop.ipynb b/Pennsylvania biased recom bpop.ipynb new file mode 100644 index 0000000..b466ce1 --- /dev/null +++ b/Pennsylvania biased recom bpop.ipynb @@ -0,0 +1,663 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## This jupyter notebook shows data analysis and visualization on BPOP (Black population) of Pennsylvania, for both biased ReCom and normal ReCom." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Biased ReCom" + ] + }, + { + "cell_type": "code", + "execution_count": 88, + "metadata": {}, + "outputs": [], + "source": [ + "%config InlineBackend.figure_formats = ['svg']\n", + "import matplotlib.pyplot as plt\n", + "from gerrychain import (GeographicPartition, Partition, Graph, MarkovChain,\n", + " proposals, updaters, constraints, accept, Election)\n", + "from gerrychain.proposals import recom\n", + "from gerrychain.metrics import mean_median\n", + "from bvap_recom import bvap_biased_recom\n", + "from functools import partial\n", + "import pandas as pd\n", + "import tqdm\n", + "plt.style.use('ggplot')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Load Pennsylvania shapefile" + ] + }, + { + "cell_type": "code", + "execution_count": 47, + "metadata": {}, + "outputs": [], + "source": [ + "graph = Graph.from_file(\"data/PA_VTD/PA_VTD.shp\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Set total population, BPOP and nBPOP (non-Black Population) as updaters" + ] + }, + { + "cell_type": "code", + "execution_count": 48, + "metadata": {}, + "outputs": [], + "source": [ + "for node in graph.nodes:\n", + " total_pop = graph.nodes[node]['TOT_POP']\n", + " bvap = graph.nodes[node]['BLACK_POP']\n", + " graph.nodes[node]['nBVAP'] = total_pop - bvap\n", + " graph.nodes[node]['population'] = total_pop" + ] + }, + { + "cell_type": "code", + "execution_count": 50, + "metadata": {}, + "outputs": [], + "source": [ + "# from https://gerrychain.readthedocs.io/en/latest/user/recom.html\n", + "my_updaters = {\n", + " \"population\": updaters.Tally(\"TOT_POP\", alias=\"population\"),\n", + " \"cut_edges\": updaters.cut_edges,\n", + "}\n", + "elections = [\n", + " Election(\"BLACK_POP\", {\"BLACK_POP\": \"BLACK_POP\", \"nBVAP\": \"nBVAP\"})\n", + "]\n", + "election_updaters = {election.name: election for election in elections}\n", + "my_updaters.update(election_updaters)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Set up and run GerryChain (Biased Recom)" + ] + }, + { + "cell_type": "code", + "execution_count": 51, + "metadata": {}, + "outputs": [], + "source": [ + "import bvap_recom\n", + "from importlib import reload\n", + "bvap_recom = reload(bvap_recom)\n", + "\n", + "initial_partition = GeographicPartition(graph, assignment=\"2011_PLA_1\", updaters=my_updaters)\n", + "ideal_population = sum(initial_partition[\"population\"].values()) / len(initial_partition)\n", + "pop_tolerance = 0.02\n", + "\n", + "proposal = partial(bvap_recom.bvap_biased_recom,\n", + " pop_col=\"TOT_POP\",\n", + " bvap_col=\"BLACK_POP\",\n", + " pop_target=ideal_population,\n", + " epsilon=pop_tolerance,\n", + " node_repeats=2,\n", + " target_districts=[16, 17],\n", + " p_target=0.25\n", + " )\n", + "\n", + "compactness_bound = constraints.UpperBound(\n", + " lambda p: len(p[\"cut_edges\"]),\n", + " 2*len(initial_partition[\"cut_edges\"])\n", + ")\n", + "\n", + "pop_constraint = constraints.within_percent_of_ideal_population(initial_partition, pop_tolerance)" + ] + }, + { + "cell_type": "code", + "execution_count": 52, + "metadata": {}, + "outputs": [], + "source": [ + "chain = MarkovChain(\n", + " proposal=proposal,\n", + " constraints=[\n", + " pop_constraint,\n", + " compactness_bound\n", + " ],\n", + " accept=accept.always_accept,\n", + " initial_state=initial_partition,\n", + " total_steps=10000\n", + ")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Saving %BPOPs from District 16 and 17" + ] + }, + { + "cell_type": "code", + "execution_count": 53, + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "c67bca94d2b448f68f6b985dc9147cf6", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "HBox(children=(IntProgress(value=0, max=10000), HTML(value='')))" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "bvap_16 = []\n", + "bvap_17 = []\n", + "rows=[]\n", + "for part in chain.with_progress_bar():\n", + " bvaps = sorted(part['BLACK_POP'].percents('BLACK_POP'))\n", + " rows.append(sorted(part['BLACK_POP'].percents('BLACK_POP')))\n", + " bvap_16.append(bvaps[16])\n", + " bvap_17.append(bvaps[17])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Create boxplot for % BPOPs (biased ReCom)" + ] + }, + { + "cell_type": "code", + "execution_count": 101, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(figsize=(8, 6))\n", + "\n", + "# Draw 37% and 55% lines to show opportunity range for BPOP\n", + "ax.axhline(0.37, color=\"red\")\n", + "ax.axhline(0.55, color=\"red\")\n", + "\n", + "# Draw boxplot\n", + "data.boxplot(ax=ax, positions=range(len(data.columns)))\n", + "\n", + "# Draw initial plan's Democratic vote %s (.iloc[0] gives the first row)\n", + "plt.plot(data.iloc[0], \"ro\")\n", + "\n", + "# Annotate\n", + "ax.set_title(\"Comparing the 2011 plan to an ensemble (biased ReCom)\")\n", + "ax.set_ylabel(\"Black population %\")\n", + "ax.set_xlabel(\"Sorted districts\")\n", + "ax.set_ylim(0, 1)\n", + "ax.set_yticks([0, 0.25, 0.5, 0.75, 1])\n", + "\n", + "fig.savefig('PA_bpop_boxplot_biased_recom.png',dpi=300, bbox_inches='tight')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The boxplot above shows BPOP (Black Population) of 18 congressional districts in Pennsylvania, using a dataset of 10,000 precinct-level Pennsylvania districting plans collected using GerryChain's ReCom algorithm. In addition to this, a biased ReCom algorithm has been applied to increase the probability of sampling from District 16 and District 17." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Plot %BPOP of District 17 versus % BPOP of District 16" + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.scatter(bvap_16, bvap_17, alpha=0.1)\n", + "plt.xlabel('BPOP 16')\n", + "plt.ylabel('BPOP 17')\n", + "plt.title(f'BVAP-biased ReCom ({len(bvap_16)} runs)')\n", + "#plt.savefig('results/bvap_biased_recom/bvap_86_vs_87.png', dpi=300)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Plot histogram of BPOP% of District 16 (biased ReCom)" + ] + }, + { + "cell_type": "code", + "execution_count": 105, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig=plt.figure(figsize=(7,7))\n", + "plt.hist(bvap_16)\n", + "plt.title(f'BPOP% (district 16) for biased ReCom ({len(bvap_16)} runs)')\n", + "plt.yticks(fontsize =12)\n", + "plt.xticks(fontsize =12)\n", + "fig.savefig('PA_histogram_biased ReCom.png',dpi=300, bbox_inches='tight')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Plot histogram of BPOP% of District 16 (normal ReCom)" + ] + }, + { + "cell_type": "code", + "execution_count": 97, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig=plt.figure(figsize=(7,7))\n", + "plt.hist(data2[16])\n", + "plt.ylim([0,2500])\n", + "plt.title(f'BPOP% (district 16) normal ReCom ({len(bvap_16)} runs)')\n", + "plt.yticks(fontsize =12)\n", + "plt.xticks(fontsize =12)\n", + "fig.savefig('PA_histogram_normal ReCom.png',dpi=300, bbox_inches='tight')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Normal ReCom" + ] + }, + { + "cell_type": "code", + "execution_count": 62, + "metadata": {}, + "outputs": [], + "source": [ + "from gerrychain import (GeographicPartition, Partition, Graph, MarkovChain,\n", + " proposals, updaters, constraints, accept, Election)\n", + "from gerrychain.proposals import recom\n", + "import matplotlib.pyplot as plt\n", + "from functools import partial\n", + "import pandas as pd\n", + "import geopandas as gpd\n", + "from gerrychain.tree import recursive_tree_part\n", + "import tqdm\n", + "from random import random\n", + "from gerrychain.metrics import efficiency_gap, mean_median\n", + "\n", + "from gerrychain.updaters import cut_edges" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Load shapefile" + ] + }, + { + "cell_type": "code", + "execution_count": 60, + "metadata": {}, + "outputs": [], + "source": [ + "shape_path = \"data/PA_VTD/PA_VTD.shp\"\n", + "\n", + "graph = Graph.from_file(shape_path, reproject = False)\n", + "\n", + "graph.to_json(\"pa_json.json\")\n", + "\n", + "jgraph = Graph.from_json(\"pa_json.json\")" + ] + }, + { + "cell_type": "code", + "execution_count": 63, + "metadata": {}, + "outputs": [], + "source": [ + "df = gpd.read_file(shape_path)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Set total population, BPOP and nBPOP (non-Black Population) as updaters" + ] + }, + { + "cell_type": "code", + "execution_count": 67, + "metadata": {}, + "outputs": [], + "source": [ + "df[\"nB_POP\"] = df[\"TOT_POP\"].astype(\"int\") - df[\"BLACK_POP\"].astype(\"int\")\n", + "jgraph.join(df, columns=[\"nB_POP\"])" + ] + }, + { + "cell_type": "code", + "execution_count": 68, + "metadata": {}, + "outputs": [], + "source": [ + "elections = [\n", + " Election(\"SEN10\", {\"Democratic\": \"SEN10D\", \"Republican\": \"SEN10R\"}),\n", + " Election(\"SEN12\", {\"Democratic\": \"USS12D\", \"Republican\": \"USS12R\"}),\n", + " Election(\"SEN16\", {\"Democratic\": \"T16SEND\", \"Republican\": \"T16SENR\"}),\n", + " Election(\"PRES12\", {\"Democratic\": \"PRES12D\", \"Republican\": \"PRES12R\"}),\n", + " Election(\"PRES16\", {\"Democratic\": \"T16PRESD\", \"Republican\": \"T16PRESR\"})\n", + "]" + ] + }, + { + "cell_type": "code", + "execution_count": 69, + "metadata": {}, + "outputs": [], + "source": [ + "# Population updater, for computing how close to equality the district populations are. \"TOT_POP\" is the population column from our shapefile.\n", + "my_updaters = {\"population\": updaters.Tally(\"TOT_POP\", alias=\"population\"),\n", + " \"BLACK_POP\":Election(\"BLACK_POP\",{\"BLACK_POP\":\"BLACK_POP\",\"nB_POP\":\"nB_POP\"})}\n", + "\n", + "# Election updaters, for computing election results using the vote totals from our shapefile.\n", + "election_updaters = {election.name: election for election in elections}\n", + "my_updaters.update(election_updaters)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Set up and run GerryChain (normal ReCom)" + ] + }, + { + "cell_type": "code", + "execution_count": 70, + "metadata": {}, + "outputs": [], + "source": [ + "initial_partition = GeographicPartition(jgraph, assignment=\"2011_PLA_1\", updaters=my_updaters)" + ] + }, + { + "cell_type": "code", + "execution_count": 71, + "metadata": {}, + "outputs": [], + "source": [ + "# The ReCom proposal needs to know the ideal population for the districts so that\n", + "# we can improve speed by bailing early on unbalanced partitions.\n", + "\n", + "ideal_population = sum(initial_partition[\"population\"].values()) / len(initial_partition)\n", + "\n", + "# We use functools.partial to bind the extra parameters (pop_col, pop_target, epsilon, node_repeats)\n", + "# of the recom proposal.\n", + "proposal = partial(recom,\n", + " pop_col=\"TOT_POP\",\n", + " pop_target=ideal_population,\n", + " epsilon=0.02,\n", + " node_repeats=2\n", + " )" + ] + }, + { + "cell_type": "code", + "execution_count": 72, + "metadata": {}, + "outputs": [], + "source": [ + "compactness_bound = constraints.UpperBound(\n", + " lambda p: len(p[\"cut_edges\"]),\n", + " 2*len(initial_partition[\"cut_edges\"])\n", + ")\n", + "\n", + "pop_constraint = constraints.within_percent_of_ideal_population(initial_partition, 0.02)" + ] + }, + { + "cell_type": "code", + "execution_count": 73, + "metadata": {}, + "outputs": [], + "source": [ + "chain = MarkovChain(\n", + " proposal=proposal,\n", + " constraints=[\n", + " pop_constraint,\n", + " compactness_bound\n", + " ],\n", + " accept=accept.always_accept,\n", + " initial_state=initial_partition,\n", + " total_steps=10000\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 76, + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "46c52a002f29442083a65e867bef730f", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "HBox(children=(IntProgress(value=0, max=10000), HTML(value='')))" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "data2 = pd.DataFrame(\n", + " sorted(partition[\"BLACK_POP\"].percents(\"BLACK_POP\"))\n", + " for partition in chain.with_progress_bar()\n", + ")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Plot %BPOP of District 17 versus %BPOP of District 16" + ] + }, + { + "cell_type": "code", + "execution_count": 104, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig=plt.figure(figsize=(7,7))\n", + "plt.scatter(data2[16], data2[17], alpha=0.1)\n", + "plt.xlabel(\"Black pop % dist 16\")\n", + "plt.ylabel(\"Black pop % dist 17\")\n", + "plt.yticks(fontsize =12)\n", + "plt.xticks(fontsize =12)\n", + "fig.savefig('PA_bpop_16_17_normal_recom.png',dpi=300, bbox_inches='tight')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Create boxplot for % BPOPs (normal ReCom)" + ] + }, + { + "cell_type": "code", + "execution_count": 102, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(figsize=(8, 6))\n", + "\n", + "# Draw 50% line\n", + "ax.axhline(0.37, color=\"red\")\n", + "ax.axhline(0.55, color=\"red\")\n", + "\n", + "# Draw boxplot\n", + "data2.boxplot(ax=ax, positions=range(len(data2.columns)))\n", + "\n", + "# Draw initial plan's Democratic vote %s (.iloc[0] gives the first row)\n", + "plt.plot(data2.iloc[0], \"ro\")\n", + "\n", + "# Annotate\n", + "ax.set_title(\"Comparing the 2011 plan to an ensemble (normal ReCom)\")\n", + "ax.set_ylabel(\"black population %\")\n", + "ax.set_xlabel(\"Sorted districts\")\n", + "ax.set_ylim(0, 1)\n", + "ax.set_yticks([0, 0.25, 0.5, 0.75, 1])\n", + "\n", + "fig.savefig('PA_bpop_boxplot_normal_recom.png',dpi=300, bbox_inches='tight')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The boxplot above shows BPOP (Black Population) of 18 congressional districts in Pennsylvania, using a dataset of 10,000 precinct-level Pennsylvania districting plans collected using GerryChain's random ReCom algorithm." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.3" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/Pennsylvania/.ipynb_checkpoints/Pennsylvania version 2-checkpoint.ipynb b/Pennsylvania/.ipynb_checkpoints/Pennsylvania version 2-checkpoint.ipynb new file mode 100644 index 0000000..9683ae9 --- /dev/null +++ b/Pennsylvania/.ipynb_checkpoints/Pennsylvania version 2-checkpoint.ipynb @@ -0,0 +1,4958 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "#import matplotlib.pyplot as plt; plt.style.use('ggplot')\n", + "#%config InlineBackend.figure_formats = ['svg']\n", + "from gerrychain import (GeographicPartition, Partition, Graph, MarkovChain,\n", + " proposals, updaters, constraints, accept, Election)\n", + "from gerrychain.proposals import recom\n", + "import matplotlib.pyplot as plt\n", + "from functools import partial\n", + "import pandas as pd\n", + "import geopandas as gpd\n", + "from gerrychain.tree import recursive_tree_part\n", + "import tqdm\n", + "from random import random\n", + "from gerrychain.metrics import efficiency_gap, mean_median\n", + "\n", + "from gerrychain.updaters import cut_edges" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0, 0.5, 'black pop % dist 17')" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", 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34203910042039100ACONNEAUT LAKE Voting DistrictCONNEAUT LAKE Voting District00G5240N...69631403030316.599178e+0733666.16493POLYGON ((-80.393242 41.635537, -80.393221 41....
44203920042039200ALINESVILLE Voting DistrictLINESVILLE Voting District00G5240N...20831403030313.467810e+0728677.18146POLYGON ((-80.49727799999999 41.66668, -80.496...
54203943042039430ASPRINGBORO Voting DistrictSPRINGBORO Voting District00G5240N...25031403030311.206652e+0846756.30323POLYGON ((-80.405857 41.849619, -80.4055489999...
64203954042039540ATOWNVILLE Voting DistrictTOWNVILLE Voting District00G5240N...21531403030316.502989e+0739251.19781POLYGON ((-79.90250899999999 41.713213, -79.90...
74210911042109110AMIDDLEBURGMIDDLEBURG Voting DistrictV2G5240N...576101010101757.523266e+0738638.01569POLYGON ((-77.125596 40.80296, -77.12462599999...
8421098042109080AFreeburgFreeburg Voting DistrictV2G5240N...341101010101756.362305e+0733223.11338POLYGON ((-77.01855399999999 40.768456, -77.01...
9421093042109030ABEAVERTOWNBEAVERTOWN Voting DistrictV2G5240N...274101010101755.010558e+0728639.76935POLYGON ((-77.198669 40.773218, -77.1984279999...
104201378042013780AMARTINSBURG DIST 02MARTINSBURG DIST 0200G5240N...882911091009105.634322e+0730729.84652POLYGON ((-78.36262599999999 40.273373, -78.36...
114201382042013820AROARING SPRING PCT 02ROARING SPRING PCT 0200G5240N...850911091009106.268563e+0733755.49599POLYGON ((-78.43409199999999 40.303714, -78.43...
124201338042013380PALTOONA WD 13 PCT 02ALTOONA WD 13 PCT 0200G5240S...14691109100955.943523e+055510.96559POLYGON ((-78.39320099999999 40.532547, -78.39...
134201379042013790ANEWRY Voting DistrictNEWRY Voting District00G5240N...89791109100952.295743e+0723240.29124POLYGON ((-78.455164 40.406083, -78.454093 40....
144206359042063590ASHELOCTASHELOCTA Voting DistrictV2G5240N...47491309050966.347806e+0736625.91025POLYGON ((-79.34966899999999 40.633834, -79.34...
15420637042063070ABLAIRSVILLE VTD 01BLAIRSVILLE VTD 0100G5240N...824913090509134.614304e+0743435.58970POLYGON ((-79.30169099999999 40.451275, -79.30...
164206340042063400AHOMER CITY VTD 01HOMER CITY VTD 0100G5240N...48691309050963.289360e+0733268.84183POLYGON ((-79.201618 40.575111, -79.197265 40....
174206323042063230ACLYMER VTD 01CLYMER VTD 0100G5240N...29791309050964.405905e+0746262.51143POLYGON ((-79.088836 40.646954, -79.0886089999...
184206350042063500AMARION CENTERMARION CENTER Voting DistrictV2G5240N...30191309050568.334141e+0736697.39617POLYGON ((-79.10105299999999 40.839044, -79.10...
19420631042063010AARMAGHARMAGH Voting DistrictV2G5240N...242913090509134.620411e+0747338.75823(POLYGON ((-79.02763399999999 40.41498, -79.02...
204206332042063320AERNESTERNEST Voting DistrictV2G5240N...62291309050961.232466e+0848372.62341POLYGON ((-79.182187 40.672443, -79.181292 40....
214206356042063560APLUMVILLEPLUMVILLE Voting DistrictV2G5240N...29991309050567.549965e+0734992.00199POLYGON ((-79.206727 40.838382, -79.198983 40....
22420054042005040AATWOOD Voting DistrictATWOOD Voting District00G5240N...1991309050961.053519e+0849512.19868POLYGON ((-79.289586 40.697523, -79.2893629999...
234206360042063600ASMICKSBURGSMICKSBURG Voting DistrictV2G5240N...10191309050567.656716e+0735160.09501POLYGON ((-79.209801 40.911299, -79.207735 40....
24420731042073010ABESSEMERBESSEMER Voting DistrictV2G5240N...12031403031263.062853e+0728950.72927POLYGON ((-80.495588 40.936947, -80.495266 40....
254204714042047140AJOHNSONBURG DIST 01JOHNSONBURG DIST 0100G5240N...33651305050525.015237e+0738232.51278POLYGON ((-78.74893899999999 41.513616, -78.74...
264204724042047240ARIDGWAY WD 01RIDGWAY WD 0100G5240N...62051305050521.921733e+0875582.11759POLYGON ((-78.81437199999999 41.518199, -78.80...
274200937042009370AST. CLAIRSVILLE Voting DistrictST. CLAIRSVILLE Voting District00G5240N...602911091809108.865072e+0740795.03573(POLYGON ((-78.619781 40.11660699999999, -78.6...
284200931042009310ASAXTON Voting DistrictSAXTON Voting District00G5240N...297911091809106.993194e+0742228.00592POLYGON ((-78.3477 40.176348, -78.342186 40.18...
294200917042009170AHYNDMAN Voting DistrictHYNDMAN Voting District00G5240N...503911091809101.440705e+0861202.00333POLYGON ((-78.80766899999999 39.724224, -78.80...
..................................................................
8891420018042001080ACARROLL VALLEYCARROLL VALLEY Voting DistrictV2G5240N...315411040904107.538093e+0626764.39707POLYGON ((-77.39215 39.72783099999999, -77.391...
88924200138042001380AMT. JOY TWP VTD 01MT. JOY TWP VTD 0100G5240N...316411040904101.973947e+0723106.72191POLYGON ((-77.215001 39.815446, -77.215 39.815...
88934200120042001200AGERMANY TWPGERMANY TWP Voting DistrictV2G5240N...527411040904102.833718e+0735853.37805POLYGON ((-77.167092 39.719867, -77.166854 39....
88944200133042001330PLITTLESTOWN WD 01LITTLESTOWN WD 0100G5240S...355411040904101.948632e+067657.22255POLYGON ((-77.101066 39.742841, -77.09984 39.7...
88954200132042001320ALIBERTY TWPLIBERTY TWP Voting DistrictV2G5240N...253411040904104.215288e+0754142.85949(POLYGON ((-77.373183 39.750105, -77.373320999...
8896420012042001020AARENDTSVILLEARENDTSVILLE Voting DistrictV2G5240N...132411040904102.124549e+065953.32672POLYGON ((-77.30617099999999 39.930221, -77.30...
88974200143042001430AREADING TWP VTD 01READING TWP VTD 0100G5240N...615411040904102.613024e+0727423.15086POLYGON ((-77.06768599999999 39.977181, -77.06...
88984200143542001435AREADING TWP VTD 02READING TWP VTD 0200G5240N...388411040904104.329509e+0742604.18431POLYGON ((-77.097503 39.948936, -77.0970339999...
88994200115042001150AEAST BERLINEAST BERLIN Voting DistrictV2G5240N...273411040904101.884394e+065852.44183POLYGON ((-76.991021 39.942434, -76.990967 39....
89004200124042001240AGETTYSBURG WD 03 PCT 01GETTYSBURG WD 03 PCT 0100G5240N...210411040904101.429415e+065528.82444POLYGON ((-77.244438 39.828771, -77.2441269999...
89014200117042001170AFRANKLIN TWP VTD 01FRANKLIN TWP VTD 0100G5240N...461411040904106.245258e+0742137.76218POLYGON ((-77.467663 39.903652, -77.4671759999...
89024200128042001280AHIGHLAND TWPHIGHLAND TWP Voting DistrictV2G5240N...222411040904103.160086e+0724847.58314POLYGON ((-77.35681799999999 39.849623, -77.35...
89034200114042001140ACUMBERLAND TWP VTD 04CUMBERLAND TWP VTD 0400G5240N...202411040904101.665574e+0723876.32887POLYGON ((-77.29634799999999 39.814143, -77.29...
89044200119042001190AFREEDOM TWPFREEDOM TWP Voting DistrictV2G5240N...198411040904103.639269e+0732990.35187POLYGON ((-77.32236499999999 39.787084, -77.32...
89054200112042001120ACUMBERLAND TWP VTD 02CUMBERLAND TWP VTD 0200G5240N...324411040904104.083158e+0738575.25072POLYGON ((-77.281453 39.746508, -77.281347 39....
89064200138542001385AMT. JOY TWP VTD 02MT. JOY TWP VTD 0200G5240N...449411040904104.835659e+0738347.84407POLYGON ((-77.232541 39.75500299999999, -77.23...
89074200122042001220AGETTYSBURG WD 01 PCT 02GETTYSBURG WD 01 PCT 0200G5240N...178411040904101.385878e+065694.46672POLYGON ((-77.230379 39.839552, -77.22948 39.8...
89084200145042001450ASTRABAN TWP VTD 02STRABAN TWP VTD 0200G5240N...335411040904106.962482e+0740215.18614POLYGON ((-77.22822699999999 39.89190199999999...
89094200118042001180AFRANKLIN TWP VTD 02FRANKLIN TWP VTD 0200G5240N...424411040904101.153125e+0855082.44410POLYGON ((-77.471085 39.944077, -77.469324 39....
89104200113042001130ACUMBERLAND TWP VTD 03CUMBERLAND TWP VTD 0300G5240N...516411040904101.612706e+0716898.98121POLYGON ((-77.296162 39.843399, -77.296064 39....
89114200111042001110ACUMBERLAND TWP VTD 01CUMBERLAND TWP VTD 0100G5240N...397411040904101.363267e+0718281.67372POLYGON ((-77.271694 39.868008, -77.266487 39....
89124200123042001230AGETTYSBURG WD 02GETTYSBURG WD 0200G5240N...120411040904101.510229e+066177.98514POLYGON ((-77.24600000000001 39.83528099999999...
8913420019042001090ACONEWAGO TWP VTD 01CONEWAGO TWP VTD 0100G5240N...490411040904103.587456e+069250.08581POLYGON ((-77.02620499999999 39.797141, -77.02...
89144200142542001425AOXFORD TWP DIST 01OXFORD TWP DIST 0100G5240N...345411040904101.936123e+0723337.78710POLYGON ((-77.079579 39.838268, -77.0792879999...
89154200140042001400AMT. PLEASANT TWP VTD 02MT. PLEASANT TWP VTD 0200G5240N...259411040904102.842360e+0738061.38574POLYGON ((-77.129397 39.857005, -77.12911 39.8...
89164200110042001100ACONEWAGO TWP VTD 02CONEWAGO TWP VTD 0200G5240N...675411040904102.363041e+0730739.24057POLYGON ((-77.057169 39.795501, -77.0570309999...
89174200148042001480AUNION TWPUNION TWP Voting DistrictV2G5240N...589411040904104.563279e+0732359.74640POLYGON ((-77.09980899999999 39.775428, -77.09...
89184200126042001260AHAMILTON TWPHAMILTON TWP Voting DistrictV2G5240N...490411040904103.543830e+0736863.04152POLYGON ((-77.074522 39.89296, -77.073804 39.8...
8919420011042001010AABBOTTSTOWNABBOTTSTOWN Voting DistrictV2G5240N...124411040904101.439514e+065619.25953POLYGON ((-76.99631699999999 39.886132, -76.99...
8920420014042001040ABERWICK TWPBERWICK TWP Voting DistrictV2G5240N...389411040904102.010254e+0723878.48976(POLYGON ((-76.995575 39.886769, -76.992791999...
\n", + "

8921 rows × 51 columns

\n", + "
" + ], + "text/plain": [ + " STATEFP10 COUNTYFP10 VTDST10 GEOID10 VTDI10 \\\n", + "0 42 039 60 42039060 A \n", + "1 42 039 510 42039510 A \n", + "2 42 039 410 42039410 A \n", + "3 42 039 100 42039100 A \n", + "4 42 039 200 42039200 A \n", + "5 42 039 430 42039430 A \n", + "6 42 039 540 42039540 A \n", + "7 42 109 110 42109110 A \n", + "8 42 109 80 42109080 A \n", + "9 42 109 30 42109030 A \n", + "10 42 013 780 42013780 A \n", + "11 42 013 820 42013820 A \n", + "12 42 013 380 42013380 P \n", + "13 42 013 790 42013790 A \n", + "14 42 063 590 42063590 A \n", + "15 42 063 70 42063070 A \n", + "16 42 063 400 42063400 A \n", + "17 42 063 230 42063230 A \n", + "18 42 063 500 42063500 A \n", + "19 42 063 10 42063010 A \n", + "20 42 063 320 42063320 A \n", + "21 42 063 560 42063560 A \n", + "22 42 005 40 42005040 A \n", + "23 42 063 600 42063600 A \n", + "24 42 073 10 42073010 A \n", + "25 42 047 140 42047140 A \n", + "26 42 047 240 42047240 A \n", + "27 42 009 370 42009370 A \n", + "28 42 009 310 42009310 A \n", + "29 42 009 170 42009170 A \n", + "... ... ... ... ... ... \n", + "8891 42 001 80 42001080 A \n", + "8892 42 001 380 42001380 A \n", + "8893 42 001 200 42001200 A \n", + "8894 42 001 330 42001330 P \n", + "8895 42 001 320 42001320 A \n", + "8896 42 001 20 42001020 A \n", + "8897 42 001 430 42001430 A \n", + "8898 42 001 435 42001435 A \n", + "8899 42 001 150 42001150 A \n", + "8900 42 001 240 42001240 A \n", + "8901 42 001 170 42001170 A \n", + "8902 42 001 280 42001280 A \n", + "8903 42 001 140 42001140 A \n", + "8904 42 001 190 42001190 A \n", + "8905 42 001 120 42001120 A \n", + "8906 42 001 385 42001385 A \n", + "8907 42 001 220 42001220 A \n", + "8908 42 001 450 42001450 A \n", + "8909 42 001 180 42001180 A \n", + "8910 42 001 130 42001130 A \n", + "8911 42 001 110 42001110 A \n", + "8912 42 001 230 42001230 A \n", + "8913 42 001 90 42001090 A \n", + "8914 42 001 425 42001425 A \n", + "8915 42 001 400 42001400 A \n", + "8916 42 001 100 42001100 A \n", + "8917 42 001 480 42001480 A \n", + "8918 42 001 260 42001260 A \n", + "8919 42 001 10 42001010 A \n", + "8920 42 001 40 42001040 A \n", + "\n", + " NAME10 NAMELSAD10 \\\n", + "0 CAMBRIDGE SPRINGS Voting District CAMBRIDGE SPRINGS Voting District \n", + "1 TITUSVILLE WD 03 TITUSVILLE WD 03 \n", + "2 SPARTANSBURG Voting District SPARTANSBURG Voting District \n", + "3 CONNEAUT LAKE Voting District CONNEAUT LAKE Voting District \n", + "4 LINESVILLE Voting District LINESVILLE Voting District \n", + "5 SPRINGBORO Voting District SPRINGBORO Voting District \n", + "6 TOWNVILLE Voting District TOWNVILLE Voting District \n", + "7 MIDDLEBURG MIDDLEBURG Voting District \n", + "8 Freeburg Freeburg Voting District \n", + "9 BEAVERTOWN BEAVERTOWN Voting District \n", + "10 MARTINSBURG DIST 02 MARTINSBURG DIST 02 \n", + "11 ROARING SPRING PCT 02 ROARING SPRING PCT 02 \n", + "12 ALTOONA WD 13 PCT 02 ALTOONA WD 13 PCT 02 \n", + "13 NEWRY Voting District NEWRY Voting District \n", + "14 SHELOCTA SHELOCTA Voting District \n", + "15 BLAIRSVILLE VTD 01 BLAIRSVILLE VTD 01 \n", + "16 HOMER CITY VTD 01 HOMER CITY VTD 01 \n", + "17 CLYMER VTD 01 CLYMER VTD 01 \n", + "18 MARION CENTER MARION CENTER Voting District \n", + "19 ARMAGH ARMAGH Voting District \n", + "20 ERNEST ERNEST Voting District \n", + "21 PLUMVILLE PLUMVILLE Voting District \n", + "22 ATWOOD Voting District ATWOOD Voting District \n", + "23 SMICKSBURG SMICKSBURG Voting District \n", + "24 BESSEMER BESSEMER Voting District \n", + "25 JOHNSONBURG DIST 01 JOHNSONBURG DIST 01 \n", + "26 RIDGWAY WD 01 RIDGWAY WD 01 \n", + "27 ST. CLAIRSVILLE Voting District ST. CLAIRSVILLE Voting District \n", + "28 SAXTON Voting District SAXTON Voting District \n", + "29 HYNDMAN Voting District HYNDMAN Voting District \n", + "... ... ... \n", + "8891 CARROLL VALLEY CARROLL VALLEY Voting District \n", + "8892 MT. JOY TWP VTD 01 MT. JOY TWP VTD 01 \n", + "8893 GERMANY TWP GERMANY TWP Voting District \n", + "8894 LITTLESTOWN WD 01 LITTLESTOWN WD 01 \n", + "8895 LIBERTY TWP LIBERTY TWP Voting District \n", + "8896 ARENDTSVILLE ARENDTSVILLE Voting District \n", + "8897 READING TWP VTD 01 READING TWP VTD 01 \n", + "8898 READING TWP VTD 02 READING TWP VTD 02 \n", + "8899 EAST BERLIN EAST BERLIN Voting District \n", + "8900 GETTYSBURG WD 03 PCT 01 GETTYSBURG WD 03 PCT 01 \n", + "8901 FRANKLIN TWP VTD 01 FRANKLIN TWP VTD 01 \n", + "8902 HIGHLAND TWP HIGHLAND TWP Voting District \n", + "8903 CUMBERLAND TWP VTD 04 CUMBERLAND TWP VTD 04 \n", + "8904 FREEDOM TWP FREEDOM TWP Voting District \n", + "8905 CUMBERLAND TWP VTD 02 CUMBERLAND TWP VTD 02 \n", + "8906 MT. JOY TWP VTD 02 MT. JOY TWP VTD 02 \n", + "8907 GETTYSBURG WD 01 PCT 02 GETTYSBURG WD 01 PCT 02 \n", + "8908 STRABAN TWP VTD 02 STRABAN TWP VTD 02 \n", + "8909 FRANKLIN TWP VTD 02 FRANKLIN TWP VTD 02 \n", + "8910 CUMBERLAND TWP VTD 03 CUMBERLAND TWP VTD 03 \n", + "8911 CUMBERLAND TWP VTD 01 CUMBERLAND TWP VTD 01 \n", + "8912 GETTYSBURG WD 02 GETTYSBURG WD 02 \n", + "8913 CONEWAGO TWP VTD 01 CONEWAGO TWP VTD 01 \n", + "8914 OXFORD TWP DIST 01 OXFORD TWP DIST 01 \n", + "8915 MT. PLEASANT TWP VTD 02 MT. PLEASANT TWP VTD 02 \n", + "8916 CONEWAGO TWP VTD 02 CONEWAGO TWP VTD 02 \n", + "8917 UNION TWP UNION TWP Voting District \n", + "8918 HAMILTON TWP HAMILTON TWP Voting District \n", + "8919 ABBOTTSTOWN ABBOTTSTOWN Voting District \n", + "8920 BERWICK TWP BERWICK TWP Voting District \n", + "\n", + " LSAD10 MTFCC10 FUNCSTAT10 ... F2014GOVR 2011_PLA_1 REMEDIAL_P \\\n", + "0 00 G5240 N ... 0 3 14 \n", + "1 00 G5240 N ... 957 3 14 \n", + "2 00 G5240 N ... 256 3 14 \n", + "3 00 G5240 N ... 696 3 14 \n", + "4 00 G5240 N ... 208 3 14 \n", + "5 00 G5240 N ... 250 3 14 \n", + "6 00 G5240 N ... 215 3 14 \n", + "7 V2 G5240 N ... 576 10 10 \n", + "8 V2 G5240 N ... 341 10 10 \n", + "9 V2 G5240 N ... 274 10 10 \n", + "10 00 G5240 N ... 882 9 11 \n", + "11 00 G5240 N ... 850 9 11 \n", + "12 00 G5240 S ... 146 9 11 \n", + "13 00 G5240 N ... 897 9 11 \n", + "14 V2 G5240 N ... 474 9 13 \n", + "15 00 G5240 N ... 824 9 13 \n", + "16 00 G5240 N ... 486 9 13 \n", + "17 00 G5240 N ... 297 9 13 \n", + "18 V2 G5240 N ... 301 9 13 \n", + "19 V2 G5240 N ... 242 9 13 \n", + "20 V2 G5240 N ... 622 9 13 \n", + "21 V2 G5240 N ... 299 9 13 \n", + "22 00 G5240 N ... 19 9 13 \n", + "23 V2 G5240 N ... 101 9 13 \n", + "24 V2 G5240 N ... 120 3 14 \n", + "25 00 G5240 N ... 336 5 13 \n", + "26 00 G5240 N ... 620 5 13 \n", + "27 00 G5240 N ... 602 9 11 \n", + "28 00 G5240 N ... 297 9 11 \n", + "29 00 G5240 N ... 503 9 11 \n", + "... ... ... ... ... ... ... ... \n", + "8891 V2 G5240 N ... 315 4 11 \n", + "8892 00 G5240 N ... 316 4 11 \n", + "8893 V2 G5240 N ... 527 4 11 \n", + "8894 00 G5240 S ... 355 4 11 \n", + "8895 V2 G5240 N ... 253 4 11 \n", + "8896 V2 G5240 N ... 132 4 11 \n", + "8897 00 G5240 N ... 615 4 11 \n", + "8898 00 G5240 N ... 388 4 11 \n", + "8899 V2 G5240 N ... 273 4 11 \n", + "8900 00 G5240 N ... 210 4 11 \n", + "8901 00 G5240 N ... 461 4 11 \n", + "8902 V2 G5240 N ... 222 4 11 \n", + "8903 00 G5240 N ... 202 4 11 \n", + "8904 V2 G5240 N ... 198 4 11 \n", + "8905 00 G5240 N ... 324 4 11 \n", + "8906 00 G5240 N ... 449 4 11 \n", + "8907 00 G5240 N ... 178 4 11 \n", + "8908 00 G5240 N ... 335 4 11 \n", + "8909 00 G5240 N ... 424 4 11 \n", + "8910 00 G5240 N ... 516 4 11 \n", + "8911 00 G5240 N ... 397 4 11 \n", + "8912 00 G5240 N ... 120 4 11 \n", + "8913 00 G5240 N ... 490 4 11 \n", + "8914 00 G5240 N ... 345 4 11 \n", + "8915 00 G5240 N ... 259 4 11 \n", + "8916 00 G5240 N ... 675 4 11 \n", + "8917 V2 G5240 N ... 589 4 11 \n", + "8918 V2 G5240 N ... 490 4 11 \n", + "8919 V2 G5240 N ... 124 4 11 \n", + "8920 V2 G5240 N ... 389 4 11 \n", + "\n", + " 538CPCT__1 538DEM_PL 538GOP_PL 8THGRADE_1 area perimeter \\\n", + "0 03 03 03 1 5.825700e+07 45771.53136 \n", + "1 03 03 03 1 9.689289e+07 39695.64227 \n", + "2 03 03 03 1 1.107861e+08 43178.68028 \n", + "3 03 03 03 1 6.599178e+07 33666.16493 \n", + "4 03 03 03 1 3.467810e+07 28677.18146 \n", + "5 03 03 03 1 1.206652e+08 46756.30323 \n", + "6 03 03 03 1 6.502989e+07 39251.19781 \n", + "7 10 10 17 5 7.523266e+07 38638.01569 \n", + "8 10 10 17 5 6.362305e+07 33223.11338 \n", + "9 10 10 17 5 5.010558e+07 28639.76935 \n", + "10 09 10 09 10 5.634322e+07 30729.84652 \n", + "11 09 10 09 10 6.268563e+07 33755.49599 \n", + "12 09 10 09 5 5.943523e+05 5510.96559 \n", + "13 09 10 09 5 2.295743e+07 23240.29124 \n", + "14 09 05 09 6 6.347806e+07 36625.91025 \n", + "15 09 05 09 13 4.614304e+07 43435.58970 \n", + "16 09 05 09 6 3.289360e+07 33268.84183 \n", + "17 09 05 09 6 4.405905e+07 46262.51143 \n", + "18 09 05 05 6 8.334141e+07 36697.39617 \n", + "19 09 05 09 13 4.620411e+07 47338.75823 \n", + "20 09 05 09 6 1.232466e+08 48372.62341 \n", + "21 09 05 05 6 7.549965e+07 34992.00199 \n", + "22 09 05 09 6 1.053519e+08 49512.19868 \n", + "23 09 05 05 6 7.656716e+07 35160.09501 \n", + "24 03 03 12 6 3.062853e+07 28950.72927 \n", + "25 05 05 05 2 5.015237e+07 38232.51278 \n", + "26 05 05 05 2 1.921733e+08 75582.11759 \n", + "27 09 18 09 10 8.865072e+07 40795.03573 \n", + "28 09 18 09 10 6.993194e+07 42228.00592 \n", + "29 09 18 09 10 1.440705e+08 61202.00333 \n", + "... ... ... ... ... ... ... \n", + "8891 04 09 04 10 7.538093e+06 26764.39707 \n", + "8892 04 09 04 10 1.973947e+07 23106.72191 \n", + "8893 04 09 04 10 2.833718e+07 35853.37805 \n", + "8894 04 09 04 10 1.948632e+06 7657.22255 \n", + "8895 04 09 04 10 4.215288e+07 54142.85949 \n", + "8896 04 09 04 10 2.124549e+06 5953.32672 \n", + "8897 04 09 04 10 2.613024e+07 27423.15086 \n", + "8898 04 09 04 10 4.329509e+07 42604.18431 \n", + "8899 04 09 04 10 1.884394e+06 5852.44183 \n", + "8900 04 09 04 10 1.429415e+06 5528.82444 \n", + "8901 04 09 04 10 6.245258e+07 42137.76218 \n", + "8902 04 09 04 10 3.160086e+07 24847.58314 \n", + "8903 04 09 04 10 1.665574e+07 23876.32887 \n", + "8904 04 09 04 10 3.639269e+07 32990.35187 \n", + "8905 04 09 04 10 4.083158e+07 38575.25072 \n", + "8906 04 09 04 10 4.835659e+07 38347.84407 \n", + "8907 04 09 04 10 1.385878e+06 5694.46672 \n", + "8908 04 09 04 10 6.962482e+07 40215.18614 \n", + "8909 04 09 04 10 1.153125e+08 55082.44410 \n", + "8910 04 09 04 10 1.612706e+07 16898.98121 \n", + "8911 04 09 04 10 1.363267e+07 18281.67372 \n", + "8912 04 09 04 10 1.510229e+06 6177.98514 \n", + "8913 04 09 04 10 3.587456e+06 9250.08581 \n", + "8914 04 09 04 10 1.936123e+07 23337.78710 \n", + "8915 04 09 04 10 2.842360e+07 38061.38574 \n", + "8916 04 09 04 10 2.363041e+07 30739.24057 \n", + "8917 04 09 04 10 4.563279e+07 32359.74640 \n", + "8918 04 09 04 10 3.543830e+07 36863.04152 \n", + "8919 04 09 04 10 1.439514e+06 5619.25953 \n", + "8920 04 09 04 10 2.010254e+07 23878.48976 \n", + "\n", + " geometry \n", + "0 POLYGON ((-80.11566499999999 41.762615, -80.11... \n", + "1 POLYGON ((-79.64411699999999 41.617206, -79.64... \n", + "2 POLYGON ((-79.77053699999999 41.833582, -79.77... \n", + "3 POLYGON ((-80.393242 41.635537, -80.393221 41.... \n", + "4 POLYGON ((-80.49727799999999 41.66668, -80.496... \n", + "5 POLYGON ((-80.405857 41.849619, -80.4055489999... \n", + "6 POLYGON ((-79.90250899999999 41.713213, -79.90... \n", + "7 POLYGON ((-77.125596 40.80296, -77.12462599999... \n", + "8 POLYGON ((-77.01855399999999 40.768456, -77.01... \n", + "9 POLYGON ((-77.198669 40.773218, -77.1984279999... \n", + "10 POLYGON ((-78.36262599999999 40.273373, -78.36... \n", + "11 POLYGON ((-78.43409199999999 40.303714, -78.43... \n", + "12 POLYGON ((-78.39320099999999 40.532547, -78.39... \n", + "13 POLYGON ((-78.455164 40.406083, -78.454093 40.... \n", + "14 POLYGON ((-79.34966899999999 40.633834, -79.34... \n", + "15 POLYGON ((-79.30169099999999 40.451275, -79.30... \n", + "16 POLYGON ((-79.201618 40.575111, -79.197265 40.... \n", + "17 POLYGON ((-79.088836 40.646954, -79.0886089999... \n", + "18 POLYGON ((-79.10105299999999 40.839044, -79.10... \n", + "19 (POLYGON ((-79.02763399999999 40.41498, -79.02... \n", + "20 POLYGON ((-79.182187 40.672443, -79.181292 40.... \n", + "21 POLYGON ((-79.206727 40.838382, -79.198983 40.... \n", + "22 POLYGON ((-79.289586 40.697523, -79.2893629999... \n", + "23 POLYGON ((-79.209801 40.911299, -79.207735 40.... \n", + "24 POLYGON ((-80.495588 40.936947, -80.495266 40.... \n", + "25 POLYGON ((-78.74893899999999 41.513616, -78.74... \n", + "26 POLYGON ((-78.81437199999999 41.518199, -78.80... \n", + "27 (POLYGON ((-78.619781 40.11660699999999, -78.6... \n", + "28 POLYGON ((-78.3477 40.176348, -78.342186 40.18... \n", + "29 POLYGON ((-78.80766899999999 39.724224, -78.80... \n", + "... ... \n", + "8891 POLYGON ((-77.39215 39.72783099999999, -77.391... \n", + "8892 POLYGON ((-77.215001 39.815446, -77.215 39.815... \n", + "8893 POLYGON ((-77.167092 39.719867, -77.166854 39.... \n", + "8894 POLYGON ((-77.101066 39.742841, -77.09984 39.7... \n", + "8895 (POLYGON ((-77.373183 39.750105, -77.373320999... \n", + "8896 POLYGON ((-77.30617099999999 39.930221, -77.30... \n", + "8897 POLYGON ((-77.06768599999999 39.977181, -77.06... \n", + "8898 POLYGON ((-77.097503 39.948936, -77.0970339999... \n", + "8899 POLYGON ((-76.991021 39.942434, -76.990967 39.... \n", + "8900 POLYGON ((-77.244438 39.828771, -77.2441269999... \n", + "8901 POLYGON ((-77.467663 39.903652, -77.4671759999... \n", + "8902 POLYGON ((-77.35681799999999 39.849623, -77.35... \n", + "8903 POLYGON ((-77.29634799999999 39.814143, -77.29... \n", + "8904 POLYGON ((-77.32236499999999 39.787084, -77.32... \n", + "8905 POLYGON ((-77.281453 39.746508, -77.281347 39.... \n", + "8906 POLYGON ((-77.232541 39.75500299999999, -77.23... \n", + "8907 POLYGON ((-77.230379 39.839552, -77.22948 39.8... \n", + "8908 POLYGON ((-77.22822699999999 39.89190199999999... \n", + "8909 POLYGON ((-77.471085 39.944077, -77.469324 39.... \n", + "8910 POLYGON ((-77.296162 39.843399, -77.296064 39.... \n", + "8911 POLYGON ((-77.271694 39.868008, -77.266487 39.... \n", + "8912 POLYGON ((-77.24600000000001 39.83528099999999... \n", + "8913 POLYGON ((-77.02620499999999 39.797141, -77.02... \n", + "8914 POLYGON ((-77.079579 39.838268, -77.0792879999... \n", + "8915 POLYGON ((-77.129397 39.857005, -77.12911 39.8... \n", + "8916 POLYGON ((-77.057169 39.795501, -77.0570309999... \n", + "8917 POLYGON ((-77.09980899999999 39.775428, -77.09... \n", + "8918 POLYGON ((-77.074522 39.89296, -77.073804 39.8... \n", + "8919 POLYGON ((-76.99631699999999 39.886132, -76.99... \n", + "8920 (POLYGON ((-76.995575 39.886769, -76.992791999... \n", + "\n", + "[8921 rows x 51 columns]" + ] + }, + "execution_count": 118, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df" + ] + }, + { + "cell_type": "code", + "execution_count": 119, + "metadata": {}, + "outputs": [], + "source": [ + "df[\"nB_POP\"] = df[\"TOT_POP\"].astype(\"int\") - df[\"BLACK_POP\"].astype(\"int\")\n", + "jgraph.join(df, columns=[\"nB_POP\"])" + ] + }, + { + "cell_type": "code", + "execution_count": 120, + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "data": { + "text/plain": [ + "{'boundary_node': False,\n", + " 'area': 221930381.4,\n", + " 'STATEFP10': '42',\n", + " 'COUNTYFP10': '083',\n", + " 'VTDST10': '390',\n", + " 'GEOID10': '42083390',\n", + " 'VTDI10': 'P',\n", + " 'NAME10': 'PORT ALLEGANY DIST 01',\n", + " 'NAMELSAD10': 'PORT ALLEGANY DIST 01',\n", + " 'LSAD10': '00',\n", + " 'MTFCC10': 'G5240',\n", + " 'FUNCSTAT10': 'S',\n", + " 'ALAND10': 3272917,\n", + " 'AWATER10': 46188,\n", + " 'INTPTLAT10': '+41.8128006',\n", + " 'INTPTLON10': '-078.2746043',\n", + " 'ATG12D': 449.0,\n", + " 'ATG12R': 730.0,\n", + " 'GOV10D': 230.0,\n", + " 'GOV10R': 609.0,\n", + " 'PRES12D': 416.0,\n", + " 'PRES12O': 32.0,\n", + " 'PRES12R': 811.0,\n", + " 'SEN10D': 246.0,\n", + " 'SEN10R': 601.0,\n", + " 'T16ATGD': 340.0,\n", + " 'T16ATGR': 1016.0,\n", + " 'T16PRESD': 334.0,\n", + " 'T16PRESOTH': 63.0,\n", + " 'T16PRESR': 993.0,\n", + " 'T16SEND': 323.0,\n", + " 'T16SENR': 988.0,\n", + " 'USS12D': 415.0,\n", + " 'USS12R': 798.0,\n", + " 'GOV': 5,\n", + " 'TS': 5,\n", + " 'HISP_POP': 27,\n", + " 'TOT_POP': 3769,\n", + " 'WHITE_POP': 3693,\n", + " 'BLACK_POP': 6,\n", + " 'NATIVE_POP': 6,\n", + " 'ASIAN_POP': 5,\n", + " 'F2014GOVD': 286,\n", + " 'F2014GOVR': 469,\n", + " '2011_PLA_1': 5,\n", + " 'REMEDIAL_P': 13,\n", + " '538CPCT__1': '05',\n", + " '538DEM_PL': '05',\n", + " '538GOP_PL': '05',\n", + " '8THGRADE_1': '2',\n", + " 'perimeter': 73251.10063,\n", + " 'nB_POP': 3763}" + ] + }, + "execution_count": 120, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "jgraph.nodes[78]" + ] + }, + { + "cell_type": "code", + "execution_count": 121, + "metadata": {}, + "outputs": [], + "source": [ + "elections = [\n", + " Election(\"SEN10\", {\"Democratic\": \"SEN10D\", \"Republican\": \"SEN10R\"}),\n", + " Election(\"SEN12\", {\"Democratic\": \"USS12D\", \"Republican\": \"USS12R\"}),\n", + " Election(\"SEN16\", {\"Democratic\": \"T16SEND\", \"Republican\": \"T16SENR\"}),\n", + " Election(\"PRES12\", {\"Democratic\": \"PRES12D\", \"Republican\": \"PRES12R\"}),\n", + " Election(\"PRES16\", {\"Democratic\": \"T16PRESD\", \"Republican\": \"T16PRESR\"})\n", + "]" + ] + }, + { + "cell_type": "code", + "execution_count": 122, + "metadata": {}, + "outputs": [], + "source": [ + "# Population updater, for computing how close to equality the district\n", + "# populations are. \"TOT_POP\" is the population column from our shapefile.\n", + "my_updaters = {\"population\": updaters.Tally(\"TOT_POP\", alias=\"population\"),\n", + " \"BLACK_POP\":Election(\"BLACK_POP\",{\"BLACK_POP\":\"BLACK_POP\",\"nB_POP\":\"nB_POP\"})}\n", + "\n", + "# Election updaters, for computing election results using the vote totals\n", + "# from our shapefile.\n", + "election_updaters = {election.name: election for election in elections}\n", + "my_updaters.update(election_updaters)" + ] + }, + { + "cell_type": "code", + "execution_count": 123, + "metadata": {}, + "outputs": [], + "source": [ + "initial_partition = GeographicPartition(jgraph, assignment=\"2011_PLA_1\", updaters=my_updaters)" + ] + }, + { + "cell_type": "code", + "execution_count": 124, + "metadata": {}, + "outputs": [], + "source": [ + "# The ReCom proposal needs to know the ideal population for the districts so that\n", + "# we can improve speed by bailing early on unbalanced partitions.\n", + "\n", + "ideal_population = sum(initial_partition[\"population\"].values()) / len(initial_partition)\n", + "\n", + "# We use functools.partial to bind the extra parameters (pop_col, pop_target, epsilon, node_repeats)\n", + "# of the recom proposal.\n", + "proposal = partial(recom,\n", + " pop_col=\"TOT_POP\",\n", + " pop_target=ideal_population,\n", + " epsilon=0.02,\n", + " node_repeats=2\n", + " )" + ] + }, + { + "cell_type": "code", + "execution_count": 125, + "metadata": {}, + "outputs": [], + "source": [ + "compactness_bound = constraints.UpperBound(\n", + " lambda p: len(p[\"cut_edges\"]),\n", + " 2*len(initial_partition[\"cut_edges\"])\n", + ")\n", + "\n", + "pop_constraint = constraints.within_percent_of_ideal_population(initial_partition, 0.02)" + ] + }, + { + "cell_type": "code", + "execution_count": 128, + "metadata": {}, + "outputs": [], + "source": [ + "chain = MarkovChain(\n", + " proposal=proposal,\n", + " constraints=[\n", + " pop_constraint,\n", + " compactness_bound\n", + " ],\n", + " accept=accept.always_accept,\n", + " initial_state=initial_partition,\n", + " total_steps=1000\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 129, + "metadata": {}, + "outputs": [], + "source": [ + "data = pd.DataFrame(\n", + " sorted(partition[\"BLACK_POP\"].percents(\"BLACK_POP\"))\n", + " for partition in chain\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [], + "source": [ + "# This will take about 10 minutes.\n", + "\n", + "#data = pandas.DataFrame(\n", + "# sorted(partition[\"SEN12\"].percents(\"Democratic\"))\n", + "# for partition in chain\n", + "#)" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "#fig, ax = plt.subplots(figsize=(8, 6))\n", + "\n", + "# Draw 50% line\n", + "#ax.axhline(0.5, color=\"#cccccc\")\n", + "\n", + "## Draw boxplot\n", + "#data.boxplot(ax=ax, positions=range(len(data.columns)))\n", + "\n", + "# Draw initial plan's Democratic vote %s (.iloc[0] gives the first row)\n", + "#plt.plot(data.iloc[0], \"ro\")\n", + "\n", + "# Annotate\n", + "#ax.set_title(\"Comparing the 2011 plan to an ensemble\")\n", + "#ax.set_ylabel(\"Democratic vote % (Senate 2012)\")\n", + "#ax.set_xlabel(\"Sorted districts\")\n", + "#ax.set_ylim(0, 1)\n", + "#ax.set_yticks([0, 0.25, 0.5, 0.75, 1])\n", + "\n", + "#plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 130, + "metadata": { + "scrolled": false + }, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(figsize=(8, 6))\n", + "\n", + "# Draw 50% line\n", + "ax.axhline(0.37, color=\"red\")\n", + "ax.axhline(0.55, color=\"red\")\n", + "\n", + "# Draw boxplot\n", + "data.boxplot(ax=ax, positions=range(len(data.columns)))\n", + "\n", + "# Draw initial plan's Democratic vote %s (.iloc[0] gives the first row)\n", + "plt.plot(data.iloc[0], \"ro\")\n", + "\n", + "# Annotate\n", + "ax.set_title(\"Comparing the 2011 plan to an ensemble\")\n", + "ax.set_ylabel(\"black population %\")\n", + "ax.set_xlabel(\"Sorted districts\")\n", + "ax.set_ylim(0, 1)\n", + "ax.set_yticks([0, 0.25, 0.5, 0.75, 1])\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 134, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0, 0.5, 'black pop % dist 17')" + ] + }, + "execution_count": 134, + "metadata": {}, + "output_type": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.scatter(data[15], data[16])\n", + "plt.xlabel(\"black pop % dist 15\")\n", + "plt.ylabel(\"black pop % dist 16\")" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0, 0.5, 'black pop % dist 15')" + ] + }, + "execution_count": 33, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.scatter(data[14], data[15])\n", + "plt.xlabel(\"black pop % dist 14\")\n", + "plt.ylabel(\"black pop % dist 15\")" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0, 0.5, 'black pop % dist 14')" + ] + }, + "execution_count": 34, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.scatter(data[13], data[14])\n", + "plt.xlabel(\"black pop % dist 13\")\n", + "plt.ylabel(\"black pop % dist 14\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 50 State Senate districts" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "8921" + ] + }, + "execution_count": 37, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "len(jgraph)" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": {}, + "outputs": [], + "source": [ + "Total_pop_PA=[]\n", + "for i in range(8921):\n", + " Total_pop_PA.append(jgraph.nodes[i]['TOT_POP'])" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": {}, + "outputs": [], + "source": [ + "Total_population_PA=sum(Total_pop_PA)" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "12684929" + ] + }, + "execution_count": 40, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "Total_population_PA" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": {}, + "outputs": [], + "source": [ + "new_plan = recursive_tree_part(jgraph, range(50), Total_population_PA/50,\"TOT_POP\", .01, 1)" + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": {}, + "outputs": [], + "source": [ + "initial_partition = Partition(jgraph, new_plan, updaters=my_updaters)" + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "metadata": {}, + "outputs": [], + "source": [ + "# Population updater, for computing how close to equality the district\n", + "# populations are. \"TOT_POP\" is the population column from our shapefile.\n", + "my_updaters = {\"population\": updaters.Tally(\"TOT_POP\", alias=\"population\"),\n", + " \"BLACK_POP\":Election(\"BLACK_POP\",{\"BLACK_POP\":\"BLACK_POP\",\"nB_POP\":\"nB_POP\"}),\n", + " \"cut_edges\": cut_edges}" + ] + }, + { + "cell_type": "code", + "execution_count": 51, + "metadata": {}, + "outputs": [], + "source": [ + "# The ReCom proposal needs to know the ideal population for the districts so that\n", + "# we can improve speed by bailing early on unbalanced partitions.\n", + "\n", + "ideal_population = sum(initial_partition[\"population\"].values()) / len(initial_partition)\n", + "\n", + "# We use functools.partial to bind the extra parameters (pop_col, pop_target, epsilon, node_repeats)\n", + "# of the recom proposal.\n", + "proposal = partial(recom,\n", + " pop_col=\"TOT_POP\",\n", + " pop_target=Total_population_PA/50,\n", + " epsilon=0.05, # epsilon is the deviation allowed\n", + " node_repeats=3 \n", + " )\n", + "\n", + "compactness_bound = constraints.UpperBound(\n", + " lambda p: len(p[\"cut_edges\"]),\n", + " 2*len(initial_partition[\"cut_edges\"])\n", + ")\n", + "\n", + "pop_constraint = constraints.within_percent_of_ideal_population(initial_partition, 0.30)" + ] + }, + { + "cell_type": "code", + "execution_count": 52, + "metadata": {}, + "outputs": [], + "source": [ + "chain = MarkovChain(\n", + " proposal=proposal,\n", + " constraints=[\n", + " pop_constraint,\n", + " compactness_bound\n", + " ],\n", + " accept=accept.always_accept,\n", + " initial_state=initial_partition,\n", + " total_steps=10000\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 53, + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "162b290bf6424e80849ef1351c6a68ab", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "HBox(children=(IntProgress(value=0, max=10000), HTML(value='')))" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n" + ] + } + ], + "source": [ + "data = pd.DataFrame(\n", + " sorted(partition[\"BLACK_POP\"].percents(\"BLACK_POP\"))\n", + " for partition in chain.with_progress_bar()\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 54, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(figsize=(15, 20))\n", + "\n", + "# Draw 50% line\n", + "ax.axhline(0.37, color=\"red\")\n", + "ax.axhline(0.55, color=\"red\")\n", + "\n", + "# Draw boxplot\n", + "data.boxplot(ax=ax, positions=range(len(data.columns)))\n", + "\n", + "# Draw initial plan's Democratic vote %s (.iloc[0] gives the first row)\n", + "#plt.plot(data.iloc[0], \"ro\")\n", + "\n", + "# Annotate\n", + "ax.set_title(\"Comparing the 2011 plan to an ensemble\")\n", + "ax.set_ylabel(\"black population %\")\n", + "ax.set_xlabel(\"Sorted districts\")\n", + "ax.set_ylim(0, 1)\n", + "ax.set_yticks([0, 0.25, 0.5, 0.75, 1])\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0, 0.5, 'black pop % dist 47')" + ] + }, + "execution_count": 58, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.scatter(data[46], data[47], alpha=0.1)\n", + "plt.xlabel(\"black pop % dist 46\")\n", + "plt.ylabel(\"black pop % dist 47\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Designing acceptance function" + ] + }, + { + "cell_type": "code", + "execution_count": 60, + "metadata": {}, + "outputs": [], + "source": [ + "def step_num(partition):\n", + " parent = partition.parent\n", + " if not parent:\n", + " return 0\n", + " return parent[\"step_num\"] + 1\n", + "step_updater = {\"Step\": step_num} ## A simple example that tracks the number of steps in the Markov Chain, which is useful for performing annealing" + ] + }, + { + "cell_type": "code", + "execution_count": 64, + "metadata": {}, + "outputs": [], + "source": [ + "def num_splits(partition, df=df):\n", + " df[\"current\"] = df.index.map(partition.assignment)\n", + " return sum(df.groupby('COUNTYFP10')[\"current\"].nunique() >1)\n", + "my_updaters.update({\"County Splits\": num_splits})\n", + "# several states have rules that incentivize keeping counties or other municipal units together\n", + "# Thus, it is sometimes useful to track the number of counties that are split by the current districting plan" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "chain = MarkovChain(\n", + " proposal=proposal,\n", + " constraints=[\n", + " pop_constraint,\n", + " compactness_bound\n", + " ],\n", + " accept=accept.always_accept,\n", + " initial_state=initial_partition,\n", + " total_steps=1000\n", + ")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Making our chain go in the direction of pareto front" + ] + }, + { + "cell_type": "code", + "execution_count": 69, + "metadata": {}, + "outputs": [], + "source": [ + "def pareto_driver(partition, metrics, p=0.01):\n", + " \"\"\"\n", + " If the proposed partition dominates the previous partition\n", + " with respect to a set of scalar metrics, we accept the proposal\n", + " with probability 1.\n", + " \n", + " Otherwise, we accept the proposal with probability ``p``.\n", + " \"\"\"\n", + " dominant = True\n", + " for metric in metrics:\n", + " if partition[metric] >= partition.parent[metric]:\n", + " dominant = False\n", + " break\n", + " return dominant or random() < p" + ] + }, + { + "cell_type": "code", + "execution_count": 70, + "metadata": {}, + "outputs": [], + "source": [ + "from functools import partial" + ] + }, + { + "cell_type": "code", + "execution_count": 87, + "metadata": {}, + "outputs": [], + "source": [ + "pareto = partial(pareto_driver, metrics=['cut_edges'])" + ] + }, + { + "cell_type": "code", + "execution_count": 88, + "metadata": {}, + "outputs": [], + "source": [ + "chain = MarkovChain(\n", + " proposal=proposal,\n", + " constraints=[\n", + " pop_constraint,\n", + " compactness_bound\n", + " ],\n", + " accept=pareto,\n", + " initial_state=initial_partition,\n", + " total_steps=1000\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 89, + "metadata": {}, + "outputs": [], + "source": [ + "num_elections = 2\n", + "\n", + "election_names = [\n", + " \"PRES12\",\n", + " \"PRES16\",\n", + "]\n", + "\n", + "election_columns = [\n", + " [\"PRES12D\", \"PRES12R\"],\n", + " [\"T16PRESD\", \"T16PRESR\"],\n", + "]\n", + "\n", + "elections = [\n", + " Election(\n", + " election_names[i],\n", + " {\"Democratic\": election_columns[i][0], \"Republican\": election_columns[i][1]},\n", + " )\n", + " for i in range(num_elections)\n", + "]\n", + "\n", + "election_updaters = {election.name: election for election in elections}\n", + "\n", + "my_updaters.update(election_updaters)" + ] + }, + { + "cell_type": "code", + "execution_count": 105, + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "e72264ab546246fca81cff08d79ef7c1", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "HBox(children=(IntProgress(value=0, max=1000), HTML(value='')))" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "data2 = pd.DataFrame(\n", + " sorted(partition[\"BLACK_POP\"].percents(\"BLACK_POP\"))\n", + " for partition in chain.with_progress_bar()\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 107, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(figsize=(15, 20))\n", + "\n", + "# Draw 50% line\n", + "ax.axhline(0.37, color=\"red\")\n", + "ax.axhline(0.55, color=\"red\")\n", + "\n", + "# Draw boxplot\n", + "data2.boxplot(ax=ax, positions=range(len(data2.columns)))\n", + "\n", + "# Draw initial plan's Democratic vote %s (.iloc[0] gives the first row)\n", + "#plt.plot(data.iloc[0], \"ro\")\n", + "\n", + "# Annotate\n", + "ax.set_title(\"Comparing the 2011 plan to an ensemble\")\n", + "ax.set_ylabel(\"black population %\")\n", + "ax.set_xlabel(\"Sorted districts\")\n", + "ax.set_ylim(0, 1)\n", + "ax.set_yticks([0, 0.25, 0.5, 0.75, 1])\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 109, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0, 0.5, 'black pop % dist 47')" + ] + }, + "execution_count": 109, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.scatter(data2[46], data2[47], alpha=0.1)\n", + "plt.xlabel(\"black pop % dist 46\")\n", + "plt.ylabel(\"black pop % dist 47\")" + ] + }, + { + "cell_type": "code", + "execution_count": 112, + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "23b6c3648039449b999e278a80d111af", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "HBox(children=(IntProgress(value=0, max=1000), HTML(value='')))" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "cut_edges=[]\n", + "for step in chain.with_progress_bar():\n", + " cut_edges.append(len(step[\"cut_edges\"]))" + ] + }, + { + "cell_type": "code", + "execution_count": 110, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ]" + ] + }, + "execution_count": 110, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(cut_edges)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Testing the test acceptance function that move towards better abs(mean median gap) and percentage of cut edges" + ] + }, + { + "cell_type": "code", + "execution_count": 66, + "metadata": {}, + "outputs": [], + "source": [ + "def bvap_proposal(partition, pop_col, pop_target, epsilon, node_repeats):\n", + " bvap_dict = {partition[\"BVAPs\"].percents(\"Democratic\")[i]:i for i in range(num_dist)}\n", + " bvap_sort = sorted(list(partition[\"BVAPs\"].percents(\"Democratic\")))\n", + " dist_choice = bvap_dict[bvap_sort[87]]\n", + " dist_choice_nodes = []\n", + " for x in range(initial_partition.graph.number_of_nodes()):\n", + " if partition.assignment[x] == str(dist_choice):\n", + " dist_choice_nodes.append(x)\n", + " b_nodes = {x[0] for x in partition[\"cut_edges\"]}.union(\n", + " {x[1] for x in partition[\"cut_edges\"]})\n", + " node_poss = set(dist_choice_nodes).intersection(b_nodes)\n", + " node_choice = random.choice(list(node_poss))\n", + " neighbor_assignments = list(set([partition.assignment[neighbor] for neighbor in partition.graph.neighbors(node_choice)]))\n", + " neighbor_assignments.remove(partition.assignment[node_choice])\n", + " parts_to_merge = (int(partition.assignment[node_choice]), int(random.choice(neighbor_assignments)))\n", + " subgraph = partition.graph.subgraph(\n", + " partition.parts[str(parts_to_merge[0])] | partition.parts[str(parts_to_merge[1])]\n", + " )\n", + " flips = recursive_tree_part(\n", + " subgraph,\n", + " parts_to_merge,\n", + " pop_col=pop_col,\n", + " pop_target=pop_target,\n", + " epsilon=epsilon,\n", + " node_repeats=node_repeats,\n", + " )\n", + " return partition.flip(flips)" + ] + }, + { + "cell_type": "code", + "execution_count": 114, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "2" + ] + }, + "execution_count": 114, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "1+1" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.3" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/Pennsylvania/.ipynb_checkpoints/Pennsylvania version 3 - trying biased recom - BVAP-checkpoint.ipynb b/Pennsylvania/.ipynb_checkpoints/Pennsylvania version 3 - trying biased recom - BVAP-checkpoint.ipynb new file mode 100644 index 0000000..2fd6442 --- /dev/null +++ b/Pennsylvania/.ipynb_checkpoints/Pennsylvania version 3 - trying biased recom - BVAP-checkpoint.ipynb @@ -0,0 +1,6 @@ +{ + "cells": [], + "metadata": {}, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/Pennsylvania/.ipynb_checkpoints/Pennsylvania-checkpoint.ipynb b/Pennsylvania/.ipynb_checkpoints/Pennsylvania-checkpoint.ipynb new file mode 100644 index 0000000..f99e128 --- /dev/null +++ b/Pennsylvania/.ipynb_checkpoints/Pennsylvania-checkpoint.ipynb @@ -0,0 +1,56769 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [], + "source": [ + "import csv\n", + "import os\n", + "from functools import partial\n", + "import json\n", + "import tqdm\n", + "\n", + "import geopandas as gpd\n", + "import pandas as pd\n", + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "\n", + "from gerrychain import (\n", + " Election,\n", + " Graph,\n", + " MarkovChain,\n", + " Partition,\n", + " accept,\n", + " constraints,\n", + " updaters,\n", + ")\n", + "from gerrychain.metrics import efficiency_gap, mean_median\n", + "from gerrychain.proposals import recom\n", + "from gerrychain.updaters import cut_edges\n", + "from gerrychain.tree import recursive_tree_part\n", + "\n", + "newdir = \"./Outputs/\"\n", + "os.makedirs(os.path.dirname(newdir + \"init.txt\"), exist_ok=True)\n", + "with open(newdir + \"init.txt\", \"w\") as f:\n", + " f.write(\"Created Folder\")" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "unique_label = \"GEOID10\"\n", + "pop_col = \"TOT_POP\"\n", + "district_col = \"REMEDIAL_P\"\n", + "\n", + "graph_path = \"./PA_VTD/PA_VTD.shp\"\n", + "\n", + "graph = Graph.from_file(graph_path, reproject = False)\n", + "\n", + "graph.to_json(\"pa_json.json\")\n", + "\n", + "jgraph = Graph.from_json(\"pa_json.json\")" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "df = gpd.read_file(graph_path)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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STATEFP10COUNTYFP10VTDST10GEOID10VTDI10NAME10NAMELSAD10LSAD10MTFCC10FUNCSTAT10...F2014GOVR2011_PLA_1REMEDIAL_P538CPCT__1538DEM_PL538GOP_PL8THGRADE_1areaperimetergeometry
0420396042039060ACAMBRIDGE SPRINGS Voting DistrictCAMBRIDGE SPRINGS Voting District00G5240N...031403030315.825700e+0745771.53136POLYGON ((-80.11566499999999 41.762615, -80.11...
14203951042039510ATITUSVILLE WD 03TITUSVILLE WD 0300G5240N...95731403030319.689289e+0739695.64227POLYGON ((-79.64411699999999 41.617206, -79.64...
24203941042039410ASPARTANSBURG Voting DistrictSPARTANSBURG Voting District00G5240N...25631403030311.107861e+0843178.68028POLYGON ((-79.77053699999999 41.833582, -79.77...
34203910042039100ACONNEAUT LAKE Voting DistrictCONNEAUT LAKE Voting District00G5240N...69631403030316.599178e+0733666.16493POLYGON ((-80.393242 41.635537, -80.393221 41....
44203920042039200ALINESVILLE Voting DistrictLINESVILLE Voting District00G5240N...20831403030313.467810e+0728677.18146POLYGON ((-80.49727799999999 41.66668, -80.496...
54203943042039430ASPRINGBORO Voting DistrictSPRINGBORO Voting District00G5240N...25031403030311.206652e+0846756.30323POLYGON ((-80.405857 41.849619, -80.4055489999...
64203954042039540ATOWNVILLE Voting DistrictTOWNVILLE Voting District00G5240N...21531403030316.502989e+0739251.19781POLYGON ((-79.90250899999999 41.713213, -79.90...
74210911042109110AMIDDLEBURGMIDDLEBURG Voting DistrictV2G5240N...576101010101757.523266e+0738638.01569POLYGON ((-77.125596 40.80296, -77.12462599999...
8421098042109080AFreeburgFreeburg Voting DistrictV2G5240N...341101010101756.362305e+0733223.11338POLYGON ((-77.01855399999999 40.768456, -77.01...
9421093042109030ABEAVERTOWNBEAVERTOWN Voting DistrictV2G5240N...274101010101755.010558e+0728639.76935POLYGON ((-77.198669 40.773218, -77.1984279999...
104201378042013780AMARTINSBURG DIST 02MARTINSBURG DIST 0200G5240N...882911091009105.634322e+0730729.84652POLYGON ((-78.36262599999999 40.273373, -78.36...
114201382042013820AROARING SPRING PCT 02ROARING SPRING PCT 0200G5240N...850911091009106.268563e+0733755.49599POLYGON ((-78.43409199999999 40.303714, -78.43...
124201338042013380PALTOONA WD 13 PCT 02ALTOONA WD 13 PCT 0200G5240S...14691109100955.943523e+055510.96559POLYGON ((-78.39320099999999 40.532547, -78.39...
134201379042013790ANEWRY Voting DistrictNEWRY Voting District00G5240N...89791109100952.295743e+0723240.29124POLYGON ((-78.455164 40.406083, -78.454093 40....
144206359042063590ASHELOCTASHELOCTA Voting DistrictV2G5240N...47491309050966.347806e+0736625.91025POLYGON ((-79.34966899999999 40.633834, -79.34...
15420637042063070ABLAIRSVILLE VTD 01BLAIRSVILLE VTD 0100G5240N...824913090509134.614304e+0743435.58970POLYGON ((-79.30169099999999 40.451275, -79.30...
164206340042063400AHOMER CITY VTD 01HOMER CITY VTD 0100G5240N...48691309050963.289360e+0733268.84183POLYGON ((-79.201618 40.575111, -79.197265 40....
174206323042063230ACLYMER VTD 01CLYMER VTD 0100G5240N...29791309050964.405905e+0746262.51143POLYGON ((-79.088836 40.646954, -79.0886089999...
184206350042063500AMARION CENTERMARION CENTER Voting DistrictV2G5240N...30191309050568.334141e+0736697.39617POLYGON ((-79.10105299999999 40.839044, -79.10...
19420631042063010AARMAGHARMAGH Voting DistrictV2G5240N...242913090509134.620411e+0747338.75823(POLYGON ((-79.02763399999999 40.41498, -79.02...
204206332042063320AERNESTERNEST Voting DistrictV2G5240N...62291309050961.232466e+0848372.62341POLYGON ((-79.182187 40.672443, -79.181292 40....
214206356042063560APLUMVILLEPLUMVILLE Voting DistrictV2G5240N...29991309050567.549965e+0734992.00199POLYGON ((-79.206727 40.838382, -79.198983 40....
22420054042005040AATWOOD Voting DistrictATWOOD Voting District00G5240N...1991309050961.053519e+0849512.19868POLYGON ((-79.289586 40.697523, -79.2893629999...
234206360042063600ASMICKSBURGSMICKSBURG Voting DistrictV2G5240N...10191309050567.656716e+0735160.09501POLYGON ((-79.209801 40.911299, -79.207735 40....
24420731042073010ABESSEMERBESSEMER Voting DistrictV2G5240N...12031403031263.062853e+0728950.72927POLYGON ((-80.495588 40.936947, -80.495266 40....
254204714042047140AJOHNSONBURG DIST 01JOHNSONBURG DIST 0100G5240N...33651305050525.015237e+0738232.51278POLYGON ((-78.74893899999999 41.513616, -78.74...
264204724042047240ARIDGWAY WD 01RIDGWAY WD 0100G5240N...62051305050521.921733e+0875582.11759POLYGON ((-78.81437199999999 41.518199, -78.80...
274200937042009370AST. CLAIRSVILLE Voting DistrictST. CLAIRSVILLE Voting District00G5240N...602911091809108.865072e+0740795.03573(POLYGON ((-78.619781 40.11660699999999, -78.6...
284200931042009310ASAXTON Voting DistrictSAXTON Voting District00G5240N...297911091809106.993194e+0742228.00592POLYGON ((-78.3477 40.176348, -78.342186 40.18...
294200917042009170AHYNDMAN Voting DistrictHYNDMAN Voting District00G5240N...503911091809101.440705e+0861202.00333POLYGON ((-78.80766899999999 39.724224, -78.80...
..................................................................
8891420018042001080ACARROLL VALLEYCARROLL VALLEY Voting DistrictV2G5240N...315411040904107.538093e+0626764.39707POLYGON ((-77.39215 39.72783099999999, -77.391...
88924200138042001380AMT. JOY TWP VTD 01MT. JOY TWP VTD 0100G5240N...316411040904101.973947e+0723106.72191POLYGON ((-77.215001 39.815446, -77.215 39.815...
88934200120042001200AGERMANY TWPGERMANY TWP Voting DistrictV2G5240N...527411040904102.833718e+0735853.37805POLYGON ((-77.167092 39.719867, -77.166854 39....
88944200133042001330PLITTLESTOWN WD 01LITTLESTOWN WD 0100G5240S...355411040904101.948632e+067657.22255POLYGON ((-77.101066 39.742841, -77.09984 39.7...
88954200132042001320ALIBERTY TWPLIBERTY TWP Voting DistrictV2G5240N...253411040904104.215288e+0754142.85949(POLYGON ((-77.373183 39.750105, -77.373320999...
8896420012042001020AARENDTSVILLEARENDTSVILLE Voting DistrictV2G5240N...132411040904102.124549e+065953.32672POLYGON ((-77.30617099999999 39.930221, -77.30...
88974200143042001430AREADING TWP VTD 01READING TWP VTD 0100G5240N...615411040904102.613024e+0727423.15086POLYGON ((-77.06768599999999 39.977181, -77.06...
88984200143542001435AREADING TWP VTD 02READING TWP VTD 0200G5240N...388411040904104.329509e+0742604.18431POLYGON ((-77.097503 39.948936, -77.0970339999...
88994200115042001150AEAST BERLINEAST BERLIN Voting DistrictV2G5240N...273411040904101.884394e+065852.44183POLYGON ((-76.991021 39.942434, -76.990967 39....
89004200124042001240AGETTYSBURG WD 03 PCT 01GETTYSBURG WD 03 PCT 0100G5240N...210411040904101.429415e+065528.82444POLYGON ((-77.244438 39.828771, -77.2441269999...
89014200117042001170AFRANKLIN TWP VTD 01FRANKLIN TWP VTD 0100G5240N...461411040904106.245258e+0742137.76218POLYGON ((-77.467663 39.903652, -77.4671759999...
89024200128042001280AHIGHLAND TWPHIGHLAND TWP Voting DistrictV2G5240N...222411040904103.160086e+0724847.58314POLYGON ((-77.35681799999999 39.849623, -77.35...
89034200114042001140ACUMBERLAND TWP VTD 04CUMBERLAND TWP VTD 0400G5240N...202411040904101.665574e+0723876.32887POLYGON ((-77.29634799999999 39.814143, -77.29...
89044200119042001190AFREEDOM TWPFREEDOM TWP Voting DistrictV2G5240N...198411040904103.639269e+0732990.35187POLYGON ((-77.32236499999999 39.787084, -77.32...
89054200112042001120ACUMBERLAND TWP VTD 02CUMBERLAND TWP VTD 0200G5240N...324411040904104.083158e+0738575.25072POLYGON ((-77.281453 39.746508, -77.281347 39....
89064200138542001385AMT. JOY TWP VTD 02MT. JOY TWP VTD 0200G5240N...449411040904104.835659e+0738347.84407POLYGON ((-77.232541 39.75500299999999, -77.23...
89074200122042001220AGETTYSBURG WD 01 PCT 02GETTYSBURG WD 01 PCT 0200G5240N...178411040904101.385878e+065694.46672POLYGON ((-77.230379 39.839552, -77.22948 39.8...
89084200145042001450ASTRABAN TWP VTD 02STRABAN TWP VTD 0200G5240N...335411040904106.962482e+0740215.18614POLYGON ((-77.22822699999999 39.89190199999999...
89094200118042001180AFRANKLIN TWP VTD 02FRANKLIN TWP VTD 0200G5240N...424411040904101.153125e+0855082.44410POLYGON ((-77.471085 39.944077, -77.469324 39....
89104200113042001130ACUMBERLAND TWP VTD 03CUMBERLAND TWP VTD 0300G5240N...516411040904101.612706e+0716898.98121POLYGON ((-77.296162 39.843399, -77.296064 39....
89114200111042001110ACUMBERLAND TWP VTD 01CUMBERLAND TWP VTD 0100G5240N...397411040904101.363267e+0718281.67372POLYGON ((-77.271694 39.868008, -77.266487 39....
89124200123042001230AGETTYSBURG WD 02GETTYSBURG WD 0200G5240N...120411040904101.510229e+066177.98514POLYGON ((-77.24600000000001 39.83528099999999...
8913420019042001090ACONEWAGO TWP VTD 01CONEWAGO TWP VTD 0100G5240N...490411040904103.587456e+069250.08581POLYGON ((-77.02620499999999 39.797141, -77.02...
89144200142542001425AOXFORD TWP DIST 01OXFORD TWP DIST 0100G5240N...345411040904101.936123e+0723337.78710POLYGON ((-77.079579 39.838268, -77.0792879999...
89154200140042001400AMT. PLEASANT TWP VTD 02MT. PLEASANT TWP VTD 0200G5240N...259411040904102.842360e+0738061.38574POLYGON ((-77.129397 39.857005, -77.12911 39.8...
89164200110042001100ACONEWAGO TWP VTD 02CONEWAGO TWP VTD 0200G5240N...675411040904102.363041e+0730739.24057POLYGON ((-77.057169 39.795501, -77.0570309999...
89174200148042001480AUNION TWPUNION TWP Voting DistrictV2G5240N...589411040904104.563279e+0732359.74640POLYGON ((-77.09980899999999 39.775428, -77.09...
89184200126042001260AHAMILTON TWPHAMILTON TWP Voting DistrictV2G5240N...490411040904103.543830e+0736863.04152POLYGON ((-77.074522 39.89296, -77.073804 39.8...
8919420011042001010AABBOTTSTOWNABBOTTSTOWN Voting DistrictV2G5240N...124411040904101.439514e+065619.25953POLYGON ((-76.99631699999999 39.886132, -76.99...
8920420014042001040ABERWICK TWPBERWICK TWP Voting DistrictV2G5240N...389411040904102.010254e+0723878.48976(POLYGON ((-76.995575 39.886769, -76.992791999...
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8921 rows × 51 columns

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" + ], + "text/plain": [ + " STATEFP10 COUNTYFP10 VTDST10 GEOID10 VTDI10 \\\n", + "0 42 039 60 42039060 A \n", + "1 42 039 510 42039510 A \n", + "2 42 039 410 42039410 A \n", + "3 42 039 100 42039100 A \n", + "4 42 039 200 42039200 A \n", + "5 42 039 430 42039430 A \n", + "6 42 039 540 42039540 A \n", + "7 42 109 110 42109110 A \n", + "8 42 109 80 42109080 A \n", + "9 42 109 30 42109030 A \n", + "10 42 013 780 42013780 A \n", + "11 42 013 820 42013820 A \n", + "12 42 013 380 42013380 P \n", + "13 42 013 790 42013790 A \n", + "14 42 063 590 42063590 A \n", + "15 42 063 70 42063070 A \n", + "16 42 063 400 42063400 A \n", + "17 42 063 230 42063230 A \n", + "18 42 063 500 42063500 A \n", + "19 42 063 10 42063010 A \n", + "20 42 063 320 42063320 A \n", + "21 42 063 560 42063560 A \n", + "22 42 005 40 42005040 A \n", + "23 42 063 600 42063600 A \n", + "24 42 073 10 42073010 A \n", + "25 42 047 140 42047140 A \n", + "26 42 047 240 42047240 A \n", + "27 42 009 370 42009370 A \n", + "28 42 009 310 42009310 A \n", + "29 42 009 170 42009170 A \n", + "... ... ... ... ... ... \n", + "8891 42 001 80 42001080 A \n", + "8892 42 001 380 42001380 A \n", + "8893 42 001 200 42001200 A \n", + "8894 42 001 330 42001330 P \n", + "8895 42 001 320 42001320 A \n", + "8896 42 001 20 42001020 A \n", + "8897 42 001 430 42001430 A \n", + "8898 42 001 435 42001435 A \n", + "8899 42 001 150 42001150 A \n", + "8900 42 001 240 42001240 A \n", + "8901 42 001 170 42001170 A \n", + "8902 42 001 280 42001280 A \n", + "8903 42 001 140 42001140 A \n", + "8904 42 001 190 42001190 A \n", + "8905 42 001 120 42001120 A \n", + "8906 42 001 385 42001385 A \n", + "8907 42 001 220 42001220 A \n", + "8908 42 001 450 42001450 A \n", + "8909 42 001 180 42001180 A \n", + "8910 42 001 130 42001130 A \n", + "8911 42 001 110 42001110 A \n", + "8912 42 001 230 42001230 A \n", + "8913 42 001 90 42001090 A \n", + "8914 42 001 425 42001425 A \n", + "8915 42 001 400 42001400 A \n", + "8916 42 001 100 42001100 A \n", + "8917 42 001 480 42001480 A \n", + "8918 42 001 260 42001260 A \n", + "8919 42 001 10 42001010 A \n", + "8920 42 001 40 42001040 A \n", + "\n", + " NAME10 NAMELSAD10 \\\n", + "0 CAMBRIDGE SPRINGS Voting District CAMBRIDGE SPRINGS Voting District \n", + "1 TITUSVILLE WD 03 TITUSVILLE WD 03 \n", + "2 SPARTANSBURG Voting District SPARTANSBURG Voting District \n", + "3 CONNEAUT LAKE Voting District CONNEAUT LAKE Voting District \n", + "4 LINESVILLE Voting District LINESVILLE Voting District \n", + "5 SPRINGBORO Voting District SPRINGBORO Voting District \n", + "6 TOWNVILLE Voting District TOWNVILLE Voting District \n", + "7 MIDDLEBURG MIDDLEBURG Voting District \n", + "8 Freeburg Freeburg Voting District \n", + "9 BEAVERTOWN BEAVERTOWN Voting District \n", + "10 MARTINSBURG DIST 02 MARTINSBURG DIST 02 \n", + "11 ROARING SPRING PCT 02 ROARING SPRING PCT 02 \n", + "12 ALTOONA WD 13 PCT 02 ALTOONA WD 13 PCT 02 \n", + "13 NEWRY Voting District NEWRY Voting District \n", + "14 SHELOCTA SHELOCTA Voting District \n", + "15 BLAIRSVILLE VTD 01 BLAIRSVILLE VTD 01 \n", + "16 HOMER CITY VTD 01 HOMER CITY VTD 01 \n", + "17 CLYMER VTD 01 CLYMER VTD 01 \n", + "18 MARION CENTER MARION CENTER Voting District \n", + "19 ARMAGH ARMAGH Voting District \n", + "20 ERNEST ERNEST Voting District \n", + "21 PLUMVILLE PLUMVILLE Voting District \n", + "22 ATWOOD Voting District ATWOOD Voting District \n", + "23 SMICKSBURG SMICKSBURG Voting District \n", + "24 BESSEMER BESSEMER Voting District \n", + "25 JOHNSONBURG DIST 01 JOHNSONBURG DIST 01 \n", + "26 RIDGWAY WD 01 RIDGWAY WD 01 \n", + "27 ST. CLAIRSVILLE Voting District ST. CLAIRSVILLE Voting District \n", + "28 SAXTON Voting District SAXTON Voting District \n", + "29 HYNDMAN Voting District HYNDMAN Voting District \n", + "... ... ... \n", + "8891 CARROLL VALLEY CARROLL VALLEY Voting District \n", + "8892 MT. JOY TWP VTD 01 MT. JOY TWP VTD 01 \n", + "8893 GERMANY TWP GERMANY TWP Voting District \n", + "8894 LITTLESTOWN WD 01 LITTLESTOWN WD 01 \n", + "8895 LIBERTY TWP LIBERTY TWP Voting District \n", + "8896 ARENDTSVILLE ARENDTSVILLE Voting District \n", + "8897 READING TWP VTD 01 READING TWP VTD 01 \n", + "8898 READING TWP VTD 02 READING TWP VTD 02 \n", + "8899 EAST BERLIN EAST BERLIN Voting District \n", + "8900 GETTYSBURG WD 03 PCT 01 GETTYSBURG WD 03 PCT 01 \n", + "8901 FRANKLIN TWP VTD 01 FRANKLIN TWP VTD 01 \n", + "8902 HIGHLAND TWP HIGHLAND TWP Voting District \n", + "8903 CUMBERLAND TWP VTD 04 CUMBERLAND TWP VTD 04 \n", + "8904 FREEDOM TWP FREEDOM TWP Voting District \n", + "8905 CUMBERLAND TWP VTD 02 CUMBERLAND TWP VTD 02 \n", + "8906 MT. JOY TWP VTD 02 MT. JOY TWP VTD 02 \n", + "8907 GETTYSBURG WD 01 PCT 02 GETTYSBURG WD 01 PCT 02 \n", + "8908 STRABAN TWP VTD 02 STRABAN TWP VTD 02 \n", + "8909 FRANKLIN TWP VTD 02 FRANKLIN TWP VTD 02 \n", + "8910 CUMBERLAND TWP VTD 03 CUMBERLAND TWP VTD 03 \n", + "8911 CUMBERLAND TWP VTD 01 CUMBERLAND TWP VTD 01 \n", + "8912 GETTYSBURG WD 02 GETTYSBURG WD 02 \n", + "8913 CONEWAGO TWP VTD 01 CONEWAGO TWP VTD 01 \n", + "8914 OXFORD TWP DIST 01 OXFORD TWP DIST 01 \n", + "8915 MT. PLEASANT TWP VTD 02 MT. PLEASANT TWP VTD 02 \n", + "8916 CONEWAGO TWP VTD 02 CONEWAGO TWP VTD 02 \n", + "8917 UNION TWP UNION TWP Voting District \n", + "8918 HAMILTON TWP HAMILTON TWP Voting District \n", + "8919 ABBOTTSTOWN ABBOTTSTOWN Voting District \n", + "8920 BERWICK TWP BERWICK TWP Voting District \n", + "\n", + " LSAD10 MTFCC10 FUNCSTAT10 ... F2014GOVR 2011_PLA_1 REMEDIAL_P \\\n", + "0 00 G5240 N ... 0 3 14 \n", + "1 00 G5240 N ... 957 3 14 \n", + "2 00 G5240 N ... 256 3 14 \n", + "3 00 G5240 N ... 696 3 14 \n", + "4 00 G5240 N ... 208 3 14 \n", + "5 00 G5240 N ... 250 3 14 \n", + "6 00 G5240 N ... 215 3 14 \n", + "7 V2 G5240 N ... 576 10 10 \n", + "8 V2 G5240 N ... 341 10 10 \n", + "9 V2 G5240 N ... 274 10 10 \n", + "10 00 G5240 N ... 882 9 11 \n", + "11 00 G5240 N ... 850 9 11 \n", + "12 00 G5240 S ... 146 9 11 \n", + "13 00 G5240 N ... 897 9 11 \n", + "14 V2 G5240 N ... 474 9 13 \n", + "15 00 G5240 N ... 824 9 13 \n", + "16 00 G5240 N ... 486 9 13 \n", + "17 00 G5240 N ... 297 9 13 \n", + "18 V2 G5240 N ... 301 9 13 \n", + "19 V2 G5240 N ... 242 9 13 \n", + "20 V2 G5240 N ... 622 9 13 \n", + "21 V2 G5240 N ... 299 9 13 \n", + "22 00 G5240 N ... 19 9 13 \n", + "23 V2 G5240 N ... 101 9 13 \n", + "24 V2 G5240 N ... 120 3 14 \n", + "25 00 G5240 N ... 336 5 13 \n", + "26 00 G5240 N ... 620 5 13 \n", + "27 00 G5240 N ... 602 9 11 \n", + "28 00 G5240 N ... 297 9 11 \n", + "29 00 G5240 N ... 503 9 11 \n", + "... ... ... ... ... ... ... ... \n", + "8891 V2 G5240 N ... 315 4 11 \n", + "8892 00 G5240 N ... 316 4 11 \n", + "8893 V2 G5240 N ... 527 4 11 \n", + "8894 00 G5240 S ... 355 4 11 \n", + "8895 V2 G5240 N ... 253 4 11 \n", + "8896 V2 G5240 N ... 132 4 11 \n", + "8897 00 G5240 N ... 615 4 11 \n", + "8898 00 G5240 N ... 388 4 11 \n", + "8899 V2 G5240 N ... 273 4 11 \n", + "8900 00 G5240 N ... 210 4 11 \n", + "8901 00 G5240 N ... 461 4 11 \n", + "8902 V2 G5240 N ... 222 4 11 \n", + "8903 00 G5240 N ... 202 4 11 \n", + "8904 V2 G5240 N ... 198 4 11 \n", + "8905 00 G5240 N ... 324 4 11 \n", + "8906 00 G5240 N ... 449 4 11 \n", + "8907 00 G5240 N ... 178 4 11 \n", + "8908 00 G5240 N ... 335 4 11 \n", + "8909 00 G5240 N ... 424 4 11 \n", + "8910 00 G5240 N ... 516 4 11 \n", + "8911 00 G5240 N ... 397 4 11 \n", + "8912 00 G5240 N ... 120 4 11 \n", + "8913 00 G5240 N ... 490 4 11 \n", + "8914 00 G5240 N ... 345 4 11 \n", + "8915 00 G5240 N ... 259 4 11 \n", + "8916 00 G5240 N ... 675 4 11 \n", + "8917 V2 G5240 N ... 589 4 11 \n", + "8918 V2 G5240 N ... 490 4 11 \n", + "8919 V2 G5240 N ... 124 4 11 \n", + "8920 V2 G5240 N ... 389 4 11 \n", + "\n", + " 538CPCT__1 538DEM_PL 538GOP_PL 8THGRADE_1 area perimeter \\\n", + "0 03 03 03 1 5.825700e+07 45771.53136 \n", + "1 03 03 03 1 9.689289e+07 39695.64227 \n", + "2 03 03 03 1 1.107861e+08 43178.68028 \n", + "3 03 03 03 1 6.599178e+07 33666.16493 \n", + "4 03 03 03 1 3.467810e+07 28677.18146 \n", + "5 03 03 03 1 1.206652e+08 46756.30323 \n", + "6 03 03 03 1 6.502989e+07 39251.19781 \n", + "7 10 10 17 5 7.523266e+07 38638.01569 \n", + "8 10 10 17 5 6.362305e+07 33223.11338 \n", + "9 10 10 17 5 5.010558e+07 28639.76935 \n", + "10 09 10 09 10 5.634322e+07 30729.84652 \n", + "11 09 10 09 10 6.268563e+07 33755.49599 \n", + "12 09 10 09 5 5.943523e+05 5510.96559 \n", + "13 09 10 09 5 2.295743e+07 23240.29124 \n", + "14 09 05 09 6 6.347806e+07 36625.91025 \n", + "15 09 05 09 13 4.614304e+07 43435.58970 \n", + "16 09 05 09 6 3.289360e+07 33268.84183 \n", + "17 09 05 09 6 4.405905e+07 46262.51143 \n", + "18 09 05 05 6 8.334141e+07 36697.39617 \n", + "19 09 05 09 13 4.620411e+07 47338.75823 \n", + "20 09 05 09 6 1.232466e+08 48372.62341 \n", + "21 09 05 05 6 7.549965e+07 34992.00199 \n", + "22 09 05 09 6 1.053519e+08 49512.19868 \n", + "23 09 05 05 6 7.656716e+07 35160.09501 \n", + "24 03 03 12 6 3.062853e+07 28950.72927 \n", + "25 05 05 05 2 5.015237e+07 38232.51278 \n", + "26 05 05 05 2 1.921733e+08 75582.11759 \n", + "27 09 18 09 10 8.865072e+07 40795.03573 \n", + "28 09 18 09 10 6.993194e+07 42228.00592 \n", + "29 09 18 09 10 1.440705e+08 61202.00333 \n", + "... ... ... ... ... ... ... \n", + "8891 04 09 04 10 7.538093e+06 26764.39707 \n", + "8892 04 09 04 10 1.973947e+07 23106.72191 \n", + "8893 04 09 04 10 2.833718e+07 35853.37805 \n", + "8894 04 09 04 10 1.948632e+06 7657.22255 \n", + "8895 04 09 04 10 4.215288e+07 54142.85949 \n", + "8896 04 09 04 10 2.124549e+06 5953.32672 \n", + "8897 04 09 04 10 2.613024e+07 27423.15086 \n", + "8898 04 09 04 10 4.329509e+07 42604.18431 \n", + "8899 04 09 04 10 1.884394e+06 5852.44183 \n", + "8900 04 09 04 10 1.429415e+06 5528.82444 \n", + "8901 04 09 04 10 6.245258e+07 42137.76218 \n", + "8902 04 09 04 10 3.160086e+07 24847.58314 \n", + "8903 04 09 04 10 1.665574e+07 23876.32887 \n", + "8904 04 09 04 10 3.639269e+07 32990.35187 \n", + "8905 04 09 04 10 4.083158e+07 38575.25072 \n", + "8906 04 09 04 10 4.835659e+07 38347.84407 \n", + "8907 04 09 04 10 1.385878e+06 5694.46672 \n", + "8908 04 09 04 10 6.962482e+07 40215.18614 \n", + "8909 04 09 04 10 1.153125e+08 55082.44410 \n", + "8910 04 09 04 10 1.612706e+07 16898.98121 \n", + "8911 04 09 04 10 1.363267e+07 18281.67372 \n", + "8912 04 09 04 10 1.510229e+06 6177.98514 \n", + "8913 04 09 04 10 3.587456e+06 9250.08581 \n", + "8914 04 09 04 10 1.936123e+07 23337.78710 \n", + "8915 04 09 04 10 2.842360e+07 38061.38574 \n", + "8916 04 09 04 10 2.363041e+07 30739.24057 \n", + "8917 04 09 04 10 4.563279e+07 32359.74640 \n", + "8918 04 09 04 10 3.543830e+07 36863.04152 \n", + "8919 04 09 04 10 1.439514e+06 5619.25953 \n", + "8920 04 09 04 10 2.010254e+07 23878.48976 \n", + "\n", + " geometry \n", + "0 POLYGON ((-80.11566499999999 41.762615, -80.11... \n", + "1 POLYGON ((-79.64411699999999 41.617206, -79.64... \n", + "2 POLYGON ((-79.77053699999999 41.833582, -79.77... \n", + "3 POLYGON ((-80.393242 41.635537, -80.393221 41.... \n", + "4 POLYGON ((-80.49727799999999 41.66668, -80.496... \n", + "5 POLYGON ((-80.405857 41.849619, -80.4055489999... \n", + "6 POLYGON ((-79.90250899999999 41.713213, -79.90... \n", + "7 POLYGON ((-77.125596 40.80296, -77.12462599999... \n", + "8 POLYGON ((-77.01855399999999 40.768456, -77.01... \n", + "9 POLYGON ((-77.198669 40.773218, -77.1984279999... \n", + "10 POLYGON ((-78.36262599999999 40.273373, -78.36... \n", + "11 POLYGON ((-78.43409199999999 40.303714, -78.43... \n", + "12 POLYGON ((-78.39320099999999 40.532547, -78.39... \n", + "13 POLYGON ((-78.455164 40.406083, -78.454093 40.... \n", + "14 POLYGON ((-79.34966899999999 40.633834, -79.34... \n", + "15 POLYGON ((-79.30169099999999 40.451275, -79.30... \n", + "16 POLYGON ((-79.201618 40.575111, -79.197265 40.... \n", + "17 POLYGON ((-79.088836 40.646954, -79.0886089999... \n", + "18 POLYGON ((-79.10105299999999 40.839044, -79.10... \n", + "19 (POLYGON ((-79.02763399999999 40.41498, -79.02... \n", + "20 POLYGON ((-79.182187 40.672443, -79.181292 40.... \n", + "21 POLYGON ((-79.206727 40.838382, -79.198983 40.... \n", + "22 POLYGON ((-79.289586 40.697523, -79.2893629999... \n", + "23 POLYGON ((-79.209801 40.911299, -79.207735 40.... \n", + "24 POLYGON ((-80.495588 40.936947, -80.495266 40.... \n", + "25 POLYGON ((-78.74893899999999 41.513616, -78.74... \n", + "26 POLYGON ((-78.81437199999999 41.518199, -78.80... \n", + "27 (POLYGON ((-78.619781 40.11660699999999, -78.6... \n", + "28 POLYGON ((-78.3477 40.176348, -78.342186 40.18... \n", + "29 POLYGON ((-78.80766899999999 39.724224, -78.80... \n", + "... ... \n", + "8891 POLYGON ((-77.39215 39.72783099999999, -77.391... \n", + "8892 POLYGON ((-77.215001 39.815446, -77.215 39.815... \n", + "8893 POLYGON ((-77.167092 39.719867, -77.166854 39.... \n", + "8894 POLYGON ((-77.101066 39.742841, -77.09984 39.7... \n", + "8895 (POLYGON ((-77.373183 39.750105, -77.373320999... \n", + "8896 POLYGON ((-77.30617099999999 39.930221, -77.30... \n", + "8897 POLYGON ((-77.06768599999999 39.977181, -77.06... \n", + "8898 POLYGON ((-77.097503 39.948936, -77.0970339999... \n", + "8899 POLYGON ((-76.991021 39.942434, -76.990967 39.... \n", + "8900 POLYGON ((-77.244438 39.828771, -77.2441269999... \n", + "8901 POLYGON ((-77.467663 39.903652, -77.4671759999... \n", + "8902 POLYGON ((-77.35681799999999 39.849623, -77.35... \n", + "8903 POLYGON ((-77.29634799999999 39.814143, -77.29... \n", + "8904 POLYGON ((-77.32236499999999 39.787084, -77.32... \n", + "8905 POLYGON ((-77.281453 39.746508, -77.281347 39.... \n", + "8906 POLYGON ((-77.232541 39.75500299999999, -77.23... \n", + "8907 POLYGON ((-77.230379 39.839552, -77.22948 39.8... \n", + "8908 POLYGON ((-77.22822699999999 39.89190199999999... \n", + "8909 POLYGON ((-77.471085 39.944077, -77.469324 39.... \n", + "8910 POLYGON ((-77.296162 39.843399, -77.296064 39.... \n", + "8911 POLYGON ((-77.271694 39.868008, -77.266487 39.... \n", + "8912 POLYGON ((-77.24600000000001 39.83528099999999... \n", + "8913 POLYGON ((-77.02620499999999 39.797141, -77.02... \n", + "8914 POLYGON ((-77.079579 39.838268, -77.0792879999... \n", + "8915 POLYGON ((-77.129397 39.857005, -77.12911 39.8... \n", + "8916 POLYGON ((-77.057169 39.795501, -77.0570309999... \n", + "8917 POLYGON ((-77.09980899999999 39.775428, -77.09... \n", + "8918 POLYGON ((-77.074522 39.89296, -77.073804 39.8... \n", + "8919 POLYGON ((-76.99631699999999 39.886132, -76.99... \n", + "8920 (POLYGON ((-76.995575 39.886769, -76.992791999... \n", + "\n", + "[8921 rows x 51 columns]" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "['STATEFP10',\n", + " 'COUNTYFP10',\n", + " 'VTDST10',\n", + " 'GEOID10',\n", + " 'VTDI10',\n", + " 'NAME10',\n", + " 'NAMELSAD10',\n", + " 'LSAD10',\n", + " 'MTFCC10',\n", + " 'FUNCSTAT10',\n", + " 'ALAND10',\n", + " 'AWATER10',\n", + " 'INTPTLAT10',\n", + " 'INTPTLON10',\n", + " 'ATG12D',\n", + " 'ATG12R',\n", + " 'GOV10D',\n", + " 'GOV10R',\n", + " 'PRES12D',\n", + " 'PRES12O',\n", + " 'PRES12R',\n", + " 'SEN10D',\n", + " 'SEN10R',\n", + " 'T16ATGD',\n", + " 'T16ATGR',\n", + " 'T16PRESD',\n", + " 'T16PRESOTH',\n", + " 'T16PRESR',\n", + " 'T16SEND',\n", + " 'T16SENR',\n", + " 'USS12D',\n", + " 'USS12R',\n", + " 'GOV',\n", + " 'TS',\n", + " 'HISP_POP',\n", + " 'TOT_POP',\n", + " 'WHITE_POP',\n", + " 'BLACK_POP',\n", + " 'NATIVE_POP',\n", + " 'ASIAN_POP',\n", + " 'F2014GOVD',\n", + " 'F2014GOVR',\n", + " '2011_PLA_1',\n", + " 'REMEDIAL_P',\n", + " '538CPCT__1',\n", + " '538DEM_PL',\n", + " '538GOP_PL',\n", + " '8THGRADE_1',\n", + " 'area',\n", + " 'perimeter',\n", + " 'geometry']" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "list(df.columns.values)" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "def num_splits(partition): # counting how many times a split is done to a county/block group/precinct because we don't want the split to be done to the country/block group/precinct\n", + " df[\"current\"] = df[unique_label].map(dict(partition.assignment))\n", + " splits = sum(df.groupby(\"REMEDIAL_P\")[\"current\"].nunique() > 1)\n", + " return splits\n", + "\n", + "def avg_pop_dist(partition): # calculating average population deviation for each plan\n", + " ideal_population = sum(partition[\"population\"].values()) / len(\n", + " partition\n", + ")\n", + " total_deviation = sum([abs(v - ideal_population) for v in partition['population'].values()])\n", + " return (total_deviation)/len(partition)" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [], + "source": [ + "def pop_dist_pct(partition): # calculating percentage population deviation for each plan\n", + " ideal_population = ideal_population = sum(partition[\"population\"].values()) / len(\n", + " partition)\n", + " total_deviation = total_deviation = sum([abs(v - ideal_population) for v in partition['population'].values()])\n", + " avg_dist = total_deviation/len(partition)\n", + " return avg_dist/ideal_population" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [], + "source": [ + "my_updaters = {\n", + " \"cut_edges\": cut_edges,\n", + " \"population\": updaters.Tally(\"TOT_POP\", alias = \"population\"),\n", + " \"avg_pop_dist\": avg_pop_dist,\n", + " \"pop_dist_pct\" : pop_dist_pct,\n", + " \"area_land\": updaters.Tally(\"ALAND10\", alias = \"area_land\"),\n", + " \"area_water\": updaters.Tally(\"AWATER10\", alias = \"area_water\"),\n", + " \"Perimeter\": updaters.Tally(\"perimeter\", alias = \"Perimeter\"),\n", + " \"Area\": updaters.Tally(\"area\", alias = \"Area\"),\n", + " \"black_pop\": updaters.Tally(\"BLACK_POP\", alias=\"black_pop\"),\n", + " \"hisp_pop\": updaters.Tally(\"HISP_POP\", alias=\"hisp_pop\")\n", + "}" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [], + "source": [ + "num_elections = 2\n", + "\n", + "election_names = [\n", + " \"PRES12\",\n", + " \"PRES16\",\n", + "]\n", + "\n", + "election_columns = [\n", + " [\"PRES12D\", \"PRES12R\"],\n", + " [\"T16PRESD\", \"T16PRESR\"],\n", + "]\n", + "\n", + "elections = [\n", + " Election(\n", + " election_names[i],\n", + " {\"Democratic\": election_columns[i][0], \"Republican\": election_columns[i][1]},\n", + " )\n", + " for i in range(num_elections)\n", + "]" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [], + "source": [ + "election_updaters = {election.name: election for election in elections}\n", + "\n", + "my_updaters.update(election_updaters)\n", + "\n", + "num_dist = 18\n", + "\n", + "initial_partition = Partition(jgraph, \"REMEDIAL_P\", my_updaters) # by typing in \"CD,\" we are saying to put every county into the congressional district that they belong to\n", + "\n", + "ideal_population = ideal_population = sum(initial_partition[\"population\"].values()) / len(\n", + " initial_partition\n", + ")\n", + "\n", + "proposal = partial(\n", + " recom, pop_col=\"TOT_POP\", pop_target=ideal_population, epsilon=0.02, node_repeats=2\n", + ")\n", + "\n", + "compactness_bound = constraints.UpperBound(\n", + " lambda p: len(p[\"cut_edges\"]), 2 * len(initial_partition[\"cut_edges\"])\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [], + "source": [ + "chain = MarkovChain(\n", + " proposal=proposal,\n", + " constraints=[\n", + " constraints.within_percent_of_ideal_population(initial_partition, 0.02),\n", + " compactness_bound, # single_flip_contiguous#no_more_discontiguous\n", + " ],\n", + " accept=accept.always_accept,\n", + " initial_state=initial_partition,\n", + " total_steps=1000,\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "4aab92d3c7064d8a8dc5bc17fccaeba7", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "HBox(children=(IntProgress(value=0, max=1000), HTML(value='')))" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "pop_vec = []\n", + "cut_vec = []\n", + "mms_vec = []\n", + "egs_vec = []\n", + "pop_dist_vec = []\n", + "pop_pct_vec = []\n", + "splits = []\n", + "votes = [[],[],[]]\n", + "area_water = []\n", + "area_land=[]\n", + "pp_score=[]\n", + "area=[]\n", + "perimeter=[]\n", + "pp_score=[]\n", + "Area=[]\n", + "Perimeter=[]\n", + "B_pop=[]\n", + "H_pop=[]\n", + "pop=[]\n", + "\n", + "t=0\n", + "for part in chain.with_progress_bar():\n", + " splits.append(num_splits(part))\n", + " \n", + "\n", + " pop_dist_vec.append(avg_pop_dist(part))\n", + " pop.append((list(part[\"population\"].values())))\n", + " cut_vec.append(len(part[\"cut_edges\"]))\n", + " area_water.append(part[\"area_water\"])\n", + " area_land.append(part[\"area_land\"])\n", + " mms_vec.append([])\n", + " egs_vec.append([])\n", + " pop_pct_vec.append(pop_dist_pct(part))\n", + " Area.append(part[\"Area\"])\n", + " Perimeter.append(part[\"Perimeter\"])\n", + " area.append(list(part[\"Area\"].values()))\n", + " perimeter.append(list(part[\"Perimeter\"].values()))\n", + " B_pop.append((list(part[\"black_pop\"].values())))\n", + " H_pop.append((list(part[\"hisp_pop\"].values())))\n", + " \n", + " \n", + " \n", + " \n", + "\n", + " for elect in range(num_elections):\n", + " votes[elect].append(sorted(part[election_names[elect]].percents(\"Democratic\")))\n", + " mms_vec[-1].append(mean_median(part[election_names[elect]]))\n", + " egs_vec[-1].append(efficiency_gap(part[election_names[elect]]))\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[defaultdict(int,\n", + " {14: 8709991853.736795,\n", + " 10: 25949589610.309307,\n", + " 11: 15736556398.43301,\n", + " 13: 25476424020.35249,\n", + " 18: 8640249014.568693,\n", + " 4: 1243808443.3134015,\n", + " 1: 1707869359.878601,\n", + " 9: 4014694669.987962,\n", + " 8: 2890347295.505798,\n", + " 12: 7441305456.781493,\n", + " 17: 7095273080.604998,\n", + " 7: 2253327702.237001,\n", + " 5: 575465595.0048405,\n", + " 15: 2331507195.2392683,\n", + " 6: 2396889468.4325,\n", + " 2: 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(15,15))\n", + "plt.scatter(pop_pct_vec, cut_vec)\n", + "plt.title(\"Pennsylvania 1000 %pop_dist vs #cut_edges\",fontsize=20)\n", + "plt.xlabel(\"%pop deviation from ideal\", fontsize=20)\n", + "plt.ylabel(\"#cut edges\", fontsize=27)\n", + "plt.yticks(fontsize =27)\n", + "plt.xticks(fontsize =20)" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": {}, + "outputs": [], + "source": [ + "new_list_area=[]\n", + "for i in range(1000):\n", + " new_list_area.append([item * (4*np.pi) for item in area[i]])" + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": {}, + "outputs": [], + "source": [ + "new_list_perimeter=[]\n", + "for i in range(1000):\n", + " new_list_perimeter.append([item**2 for item in perimeter[i]])" + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "metadata": {}, + "outputs": [], + "source": [ + "pp_score=[]\n", + "for i in range(1000):\n", + " pp_score.append([x/y for x,y in zip(new_list_area[i],new_list_perimeter[i])])" + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "metadata": {}, + "outputs": [], + "source": [ + "sum_pp_score=[]\n", + "for i in range(1000):\n", + " sum_pp_score.append(sum(item for item in pp_score[i]))" + ] + }, + { + "cell_type": "code", + "execution_count": 45, + "metadata": {}, + "outputs": [], + "source": [ + "average_pp_score=[]\n", + "for i in range(1000):\n", + " average_pp_score.append(sum_pp_score[i]/18)" + ] + }, + { + "cell_type": "code", + "execution_count": 60, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(array([0.026, 0.028, 0.03 , 0.032, 0.034, 0.036, 0.038]),\n", + " )" + ] + }, + "execution_count": 60, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(15,15))\n", + "plt.scatter(sum_pp_score, cut_vec)\n", + "plt.title(\"PA 1000 sum of pp score vs #cut_edges\",fontsize=20)\n", + "plt.xlabel(\"sum of polsby popper score\",fontsize=20)\n", + "plt.ylabel(\"#cut edges\",fontsize=20)\n", + "plt.yticks(fontsize =27)\n", + "plt.xticks(fontsize =20)" + ] + }, + { + "cell_type": "code", + "execution_count": 64, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(array([0.026, 0.028, 0.03 , 0.032, 0.034, 0.036, 0.038]),\n", + " )" + ] + }, + "execution_count": 64, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(15,15))\n", + "plt.scatter(sum_pp_score, pop_pct_vec)\n", + "plt.title(\"PA 1000 %pop deviation vs sum of pp score\",fontsize=20)\n", + "plt.xlabel(\"sum polsby popper score\",fontsize=20)\n", + "plt.ylabel(\" square % pop deviation from ideal\",fontsize=20)\n", + "plt.yticks(fontsize =27)\n", + "plt.xticks(fontsize =20)" + ] + }, + { + "cell_type": "code", + "execution_count": 66, + "metadata": {}, + "outputs": [], + "source": [ + "MM_pres12=[]\n", + "for i in range(1000):\n", + " MM_pres12.append(abs(mms_vec[i][0]))" + ] + }, + { + "cell_type": "code", + "execution_count": 67, + "metadata": {}, + "outputs": [], + "source": [ + "EG_pres12=[]\n", + "for i in range(1000):\n", + " EG_pres12.append(abs(egs_vec[i][0]))" + ] + }, + { + "cell_type": "code", + "execution_count": 73, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0, 0.5, 'abs mean median gaps for election 12')" + ] + }, + "execution_count": 73, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(15,15))\n", + "plt.scatter(pop_pct_vec, MM_pres12)\n", + "plt.yticks(fontsize =27)\n", + "plt.xticks(fontsize =20)\n", + "\n", + "plt.xlabel(\"%pop distance from ideal\",fontsize=20)\n", + "plt.ylabel(\"abs mean median gaps for election 12\",fontsize=20)" + ] + }, + { + "cell_type": "code", + "execution_count": 76, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0, 0.5, 'sum polsby popper score')" + ] + }, + "execution_count": 76, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(15,15))\n", + "plt.scatter(EG_pres12, sum_pp_score)\n", + "plt.yticks(fontsize =27)\n", + "plt.xticks(fontsize =20)\n", + "plt.xlabel(\"abs Efficiency gap 2012 \",fontsize=20)\n", + "plt.ylabel(\"sum polsby popper score\",fontsize=20)" + ] + }, + { + "cell_type": "code", + "execution_count": 79, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0, 0.5, 'abs efficiency gaps for election 2012')" + ] + }, + "execution_count": 79, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(15,15))\n", + "plt.scatter(pop_pct_vec, EG_pres12)\n", + "#plt.title(\"Iowa 1000 %pop_dist vs MM\")\n", + "#plt.xlim(0,0.015)\n", + "plt.yticks(fontsize =27)\n", + "plt.xticks(fontsize =20)\n", + "plt.xlabel(\"%pop distance from ideal\",fontsize=20)\n", + "plt.ylabel(\"abs efficiency gaps for election 2012\",fontsize=20)" + ] + }, + { + "cell_type": "code", + "execution_count": 83, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0, 0.5, 'sum polsby popper score')" + ] + }, + "execution_count": 83, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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JkjQzxiIs1y7V/1R/3RY4MSK2iYg1I+JpEXEU8Oq6/vOZeXFbRkRknZb0OcxhlOcfAxwUER+NiPUiYu2IeCXwE8r9xHcC7+5R/sOBHwJPr4veBxwTEY+YYFqpx3nsW+erUh4N9e6I2DAiVq/zvYElwCqUQL5Pn+uRJEmSJM2QyByf22EjYn/gA0C/btKHA7tl5n099u1cyOmZubhP+WsDPwI271P+7cAbM/PYHvsuBk6b6Px72CEzl/Qo6z3Ap4FeLegdy4A9M/PLwxxoiy22yHPP7XubtSRJkiQ9qEXEeZm5xXSVNxYtyx2Z+SHKM4a/DfyeEhivA06gjDb9v3sF5RUo/3pgK2AvSivzTZSW5EuAg4BNewXl6ZaZnwM2AQ4AzqeMBn5vnf8X8HngKcMGZUmSJEnS9BqrlmVNni3LkiRJkv6aPahbliVJkiRJGgeGZUmSJEmSGoZlSZIkSZIahmVJkiRJkhqGZUmSJEmSGoZlSZIkSZIahmVJkiRJkhqGZUmSJEmSGoZlSZIkSZIahmVJkiRJkhqGZUmSJEmSGoZlSZIkSZIahmVJkiRJkhqGZUmSJEmSGoZlSZIkSZIahmVJkiRJkhqGZUmSJEmSGoZlSZIkSZIahmVJkiRJkhqGZUmSJEmSGoZlSZIkSZIahmVJkiRJkhqGZUmSJEmSGoZlSZIkSZIahmVJkiRJkhqGZUmSJEmSGoZlSZIkSZIahmVJkiRJkhqGZUmSJEmSGoZlSZIkSZIahmVJkiRJkhqGZUmSJEmSGoZlSZIkSZIahmVJkiRJkhqGZUmSJEmSGoZlSZIkSZIahmVJkiRJkhqGZUmSJEmSGoZlSZIkSZIahmVJkiRJkhqGZUmSJEmSGoZlSZIkSZIahmVJkiRJkhqGZUmSJEmSGoZlSZIkSZIahmVJkiRJkhqGZUmSJEmSGoZlSZIkSZIahmVJkiRJkhqGZUmSJEmSGoZlSZIkSZIahmVJkiRJkhqGZUmSJEmSGoZlSZIkSZIahmVJkiRJkhqGZUmSJEmSGoZlSZIkSZIahmVJkiRJkhqGZUmSJEmSGoZlSZIkSZIahmVJkiRJkhqGZUmSJEmSGoZlSZIkSZIahmVJkiRJkhqGZUmSJEmSGoZlSZIkSZIahmVJkiRJkhqGZUmSJEmSGoZlSZIkSZIahmVJkiRJkhqGZUmSJEmSGoZlSZIkSZIahmVJkiRJkhqGZUmSJEmSGoZlSZIkSZIahmVJkiRJkhqGZUmSJEmSGoZlSZIkSZIahmVJkiRJkhqGZUmSJEmSGoZlSZIkSZIahmVJkiRJkhqGZUmSJEmSGoZlSZIkSZIahmVJkiRJkhqGZUmSJEmSGoZlSZIkSZIahmVJkiRJkhqGZUmSJEmSGoZlSZIkSZIahmVJkiRJkhqGZUmSJEmSGoZlSZIkSZIahmVJkiRJkhqGZUmSJEmSGoZlSZIkSZIahmVJkiRJkhqGZUmSJEmSGoZlSZIkSZIahmVJkiRJkhqGZUmSJEmSGoZlSZIkSZIahmVJkiRJkhqGZUmSJEmSGoZlSZIkSZIahmVJkiRJkhqGZUmSJEmSGoZlSZIkSZIahmVJkiRJkhqGZUmSJEmSGoZlSZIkSZIahmVJkiRJkhqGZUmSJEmSGoZlSZIkSZIahmVJkiRJkhqGZUmSJEmSGpGZoz4HTYOI+ANw+ajPQz2tBdww6pPQnGYd0lRZhzRV1iFNlXVIUzVMHVo3Mx81XQc0LEszLCLOzcwtRn0emrusQ5oq65CmyjqkqbIOaapGUYfshi1JkiRJUsOwLEmSJElSw7Aszbx/G/UJaM6zDmmqrEOaKuuQpso6pKma9TrkPcuSJEmSJDVsWZYkSZIkqWFYliRJkiSpYViWJEmSJKlhWJb6iIgnRMTXIuLqiLgrIpZGxAERscZMlRMR8yNir4g4JCLOj4hlEZERscf0XZlmw4jqz4YR8f6IODUirqz157qIOC4idpi+q9NsGFEdWiciDo6IcyLi2rr91RHxk4jYPSLmT98VaqaNog712f+r9f+yjIgNJnc1GoURfQ4t6qovvaYjp+8KNdNG+TkUxZsiYklE3BgRd0TE7yLi6IjYaKjjOsCXtLyIWB84G1gbOA64EHgmsAPwW2DbzPzjdJcTEasDN9VfrwOWAesAb8nMr0zLxWnGjbD+HAm8Bvg1cCZwI7Ax8DJgJWCvzPzX6blKzaQR1qHFdbtzgMsodWhN4EWUz6IlwAsy855puEzNoFHVoR777wwcD9wGPALYMDMvmfyVabaM8HNoEfA74ALgez2K/GVmfmey16XZM8rPoYhYFfg28NK6zcnAn4DHAdsBe2bm9wdeRGY6OTk1E/AjIIF3Ncs/X5d/aSbKAVam/FH62Pr7fnW7PUb9mjjNifqzG/C0HuU8h/LFy12duuU03tOIP4Me0qOc+cBpdZ9Xj/r1cRrfOtRs8yjgWuBIyhctCWww6tfGabzrELCoLj901K+B09ysQ3XdF+u6/fv9vzbMsW1ZlhoRsR5wKbAUWD8z7+tatxpwDRDA2pl5+0yWExH7AR/BluU5Y5zqT1PeScALgF0y85gVvzLNljGuQ3sBBwAfzsxPrviVabaMSx2KiGOBrYGnAMdQvrizZXkOGGUd6mpZ/npm7jaNl6VZNOI6tD5wEXAesFVOIfB6z7K0vOfW+Und/yABMvNPwFnAw4BnzVI5mlvGtf7cXed2nx1/Y1eHImIl4MX11/8etL1GbuR1KCJ2A14BvD2H6GapsTPyOgQ8LiLeFhEfqvNNV/QiNFKjrEOvpeTcrwOPjIg3RMQHI+KtKzpugmFZWt7GdX5Rn/UX1/mggQGmqxzNLWNXfyJiXeB5wJ+BMwZtr5EbeR2KiLUiYr+I+GhEHEy5P+yFwDeBwfd4adRGWofqZ84XgG9kZq97TjX+Rv45ROkN9SXgk3V+QUScFhFPHHBMjYdR1qEt63wBpVX6cEp37C8DF0XEF+uXwAMZlqXlLajzW/qs7yxffZbK0dwyVvUnIlYBjgBWAfbLzJsm2l5jYRzq0FqUW0D2Bf4BWB/4Z2C3qXRn06wZWR2KiE5rzm3AngPK1/ga5efQn4GPA88A1qjTcyjjJiwGTomIhw84rkZvlHVo7Tr/GHAusAmwGqXh4FLgH4F9BhwXMCxLkxF1PtU/GKerHM0ts1Z/6remhwPbAkdRwo7mvhmvQ5l5YWYGMA9YF3g38FbgjIhYOMXjavRmsg69mxJs3uKXcw9qM1aHMvP6zNw3M3+emTfX6QxK75ZzgA0AH6k5983k51Cn1fga4JWZ+cvMvC0zTwV2Ae4D9o6IlQcVbliWltf5hmpBn/WPbLab6XI0t4xF/alB+RvA3wFHA2+wRXDOGIs6BJCZ92bmFZn5BeBtlHvCPjbguBq9kdShiNiQ0mX2kMz8wRDnqfE1Np9DHVkeWdcZ7HT7Qdtr5EZZhzpf1J2YmXd0b5yZF1AGkFsNePKAYxuWpR5+W+f97qHYsM773Tsx3eVobhl5/YmIecC3gF0p95i+Ln0u7lwy8jrUxw/rfPGQ22t0RlWHnkK55WP3iMjuidLaDHBxXfaKAcfWaI3r59Af6txu2ONvlHWos8/NffbphOmHDjg28wZtIP0VOq3OXxgRD+kxRP22wB3AT2epHM0tI60/tUvR0cDLgcOA3dvRIzX2xvUz6PF17hcv429UdWgp8NU+Zb0EeAzwbeDWuq3G17h+DnVGPL5syO01OqOsQ6cA7wKe2hZWx3LpBOylgy7ClmWpkZmXAicBi4B3NKs/Svk287CuZ7nNj4gn1We6TbocPTiMsv7U/wCOpQTlr2JQnpNGXIe2ioiHtecUEY+gjG4McMLkrkyzZVR1KDPPz8w9ek3c39Lzobrs/Om6Xk2/MfgcWu5e0oh4LuWeeCi3GWmMjfjv6R9SvlDZMSJe0OyzD6VL9+mZee2g6whvYZOWV/+hnk0ZTe844DfAVsAOlG4e23SeGxkRiyj3PlyemYsmW07XPh8AnlR/3RzYrJbRGRr/zMz8Chpbo6o/EXEIsBtwA3AwvQfNWJKZS6bjOjVzRliHvkfpZn06cAVlVNp1gBdRRho9G9gxM2+b9ovWtBrl/2N9zmcJpSv2hpl5yVSvTzNvhJ9DSyhd+pcAV9XFm3L/83b3ycxPTOOlaoaM+O/pZ1NC9sqUhoTLKY+U2p7Snf/ZmTm4+39mOjk59ZgofyAeQhlJb1n9R/YFYGGz3SJKKFk6lXK6tl9Sy+s3HTrq18ZpPOvPEHUnKY+PGvnr4zS2degllEeNXUQZLOVu4HrgZMpo2PNG/bo4jXcdmuBcOp9PG4z6dXEa7zoEvJnyPPellEeQ3UX58u4oYLtRvyZO41+Huvb521pvrq/7XEl51vIThj1/W5YlSZIkSWp4z7IkSZIkSQ3DsiRJkiRJDcOyJEmSJEkNw7IkSZIkSQ3DsiRJkiRJDcOyJEmSJEkNw7IkSZIkSQ3DsiRpWkXEkojIUZ+HxkNE7BcRGRGLm+UZEUtGc1aSJA1mWJYkSZpjotgpIg6MiPMj4qaIuDMifhsRB0TEoyfYd2HdZmlE3BURV0fE1yLiCX22f3NEfDkizomIP9cvOj4xQfmb1y9JzoqIayJiWUT8PiK+FRFPn47rl6TZMG/UJyBJkv4qPRn486hPYg5bBfghsAw4AzgZWAl4LrAXsGtEbJeZF3fvFBFrAmcDGwGnAkcCTwJ2B14SEVtn5mXNsT4HLABuAq4G1h9wbl8CtgLOA74L3AZsDuwK7BIRr87MYydz0ZI0mwzLkiRp1mXmhaM+hznuXuDDwMGZeVNnYUQ8BDgYeBvweWDnZr/9KUH5XzJz76799gS+UPfdqdlnV+A3mXl5ROwGvAoYIQAADHBJREFUHDLg3I4A3pCZl3QvjIjXA98A/j0iTsjMZcNcqCSNit2wJUkTiojdIuKYiLgsIu6IiFtr98o3DNhvlYj4RET8rnb1vDQiPhIRK/fYdruI+I+IuKpue21E/DQiPjLkOS6uXUP3i4gtIuLEiLildk09JiLWqdutFxFHRsQf6rWcFhGb9SnzYRHxwdrF9faIuC0i/jMiXttj25Uj4p0R8YOIuLxew40RcXJEvKhP+Uvr9LCI+L8RcUXd75KIeH9ExDDXXstaUq9/fkTsW1/rOyPiwoh4S9d2b4+IX9RrvyoiPlrDVa8yt4qI79T3YllEXFm74j6uz/bPqK/7n2odOTkitp7gnJe7ZzkiHlfP/6yu414dEd+MiCf3KGNRLefQ+vOREXFDvfZzI+Klw76GXWW+PiJ+Xl+j6yPi8Hpey92LP8X3fUFEHBSle/KdEfHriNhz2Pc9M+/OzE92B+W6/D7gY/XXxc2xHw68EbgdaP9tHQQsBXaMiPWaMk/MzMuHOa+6/YFtUK7LjwAuBtYENhm2PEkaFVuWJUmD/D/g15SuntdQ/tB9MXB4RGycmfv02e9oYEvgO8DdwMuB/YAtIuJlmZkAEbETcAJwK3A88HtgIaWb7j8CH12Bc90SeD9wOvDvlD/I/xewSUS8DDgTuBA4DFi3rvtxRKyXmbd1ComI1SldVJ8G/Bz4GuUL5h2Bb0bEUzLzw13HXUhplTsb+DHwB+CxlFa9H0TEWzLzKz3Odz5wEvA4Spfae4BXAJ8GVl3Ba4fSpXYr4AeU13wX4N8i4m5gU+BNwPeBU4CXAftSukJ/pruQiNid8vrdRXlPrgQ2BPYAdo6IZ2XmFV3bb0PpBrwypdvtJZRut0sor+Owtgc+AJwGHEPpvrthvY6XRcS2mXlBj/3WBX4GXAYcTnk/XgMcFxHPz8zThjl4RLwX+Cylu/HXgVuAFwBn1Z9bk33fV6a8XqtT3rOVgVfVsjYG3jHM+U6g02J7T7N8a+ChwEmZ+afuFZl5X0ScBLwV2IHyWs6Eu/ucmySNn8x0cnJycnLqOwHr91i2MiVw3Q08vlm3BEjgImCNruWrAv9Z172xa/kxddlmPY6z1pDnuLiWkcDrm3VfrctvBP6pWbdPXbdXs/zQuvx9zfJVgROB+4DNu5avAjyhx3ktAH5Zj/3QZt3SeowfdK8D1gZurtP8Ia+/85r/f2D1ruXrUYLTTcDvut8rSlC7gRLw5nUt36juc0mP9/a5lO6/x3YtC8oXEAm8vNl+r673ZXGzLoElzbK1gdV6XN9mlOD8w2b5oq7yP9Ks27Hz+g75Gq5X6/MfgHWa6/tW5zjNPlN5388EVulavhC4tK7bfor/Zt9fy/lWs/wddfmBffb7P3X9ZyYoe7e6zScmcV5b1X2vAlaayjU6OTk5zcZkN2xJ0oQy89Iey5YBX6T0UHpen10/nl1dRDPzTuCD9de/77H9HT2Oc8MKnu6ZWbp6dvt6nd9CabHtdlidb95ZEGUApDcA52bmZ5vzuZMSRAJ4XdfyuzLzqh7nfwulVXoNSqt3L3tm5h1d+1wPHEcJXBv32aefD2TmzV1lXUYJZatT3o/fd627GfgPYC3g8V1l/AOlxXuv7u3rPqdSWpp3jojV6uJt6nmekZnHNedzECUADiUzr8+mxbMuv4DSQr1DRMzvsevlwCeafX4EXAE8c8jDv45Snw/MzCu7yklKa/e9Pc5rKu/7BzPzrq59bgQ+Xn/dfchzXk5EbEnpYv0nyj3N3RbUea9W8u7lq0/2+BOc1xqUVn+AvTNzuddTksaN3bAlSROKiCdSAuLzgCdSunF2e/xyOxWn91j2E0r3y6d1LTuC0h36nIg4itIF96xeIWQI5/ZYdnWdn9/jD/ROGOx+ZM6WlFGFMyL261FeJ6w94B7aiHgK8F5KV+LHUlqhu/V6nW7JHvd2Uro9QwlbK2Ki6z+vx7ru6+/ck9q5z/g5NXi11qa8PhvVMjuPAlru/c7MeyPiTAaPnvwXEfES4O3AFpQg3/6tshbldoBuvd5bKK9j3/umG506eWa7IsvAVldSWrLb853M+34Ppet2a0lzLiskIjaifAEyH9i11xddg4qo82l9Tnq9V/p4Spf6z2bm0dNZviTNFMOyJKmvOtDPzyih7SeU+2tvobSyLaLcA7tKn92vaxfU8PRHSuDqLPtuHYjpPZQW57fVY59HaX378Qqccq8Ws3v6rcvMe+p4St2tlWvW+Zb0bxUEeETnh4h4FqXlcx6le/rxlHuw76O0Wr+c3q/TzT2WdZ/zShMcfzm1RbNfWROt63X97x1wuM71d1orl3u/q2sHlPMXcf+IzDdR7gG+gnJPdVLu5d6MFX8dh+1FN+g6rqMJy1N432/oE+47r9WCHusmFBEbUr5oWkgJysf32KxTB/qV/8hmuymrQfkE4NnA5zPz/dNVtiTNNMOyJGkie1PC0+6ZeWj3iiijQr9pgn0fTQk73fusVMu7tXt5Zp4AnFD/sN4KeCmlO/D3I+JpmfnrKV7HiugEhQc8WmeAD1Na3HfIzCXdKyLig5TQNFf8JVBl5q0TbvnA7R/dZ/1jhjloRMyjDGh2LfD0zLymWT9sC/Fkda710cCveqzvdX2Tfd/XioiVegTmzmu1QmG1jhR+CuXf1t/16A7f8ds636jP+g3r/KIVOf4E57UaJShvR2lRNihLmlO8Z1mSNJEN6vyYHuueM2DfXuu3o3xR+1+9dsjM2zPz1BpS96cMJNbzETwz6GeUlsHtVmCfDYAb28BUDXqdxs1P63zY6/95nS93nfXLkWcPWc5alHtlz+4RlB/B/d29Z0qnTi53vhGxLrBOj30m+77Po9zr3VrcnMtAEbEJpfv2QuBVEwRlKO/tHcC2Xfecd8p5CPDC+utQo4cPOK8FlJ4o2wGfNChLmosMy5KkiSyt88XdCyNiR8pjhCayTx3Up7PPqsCn6q+HdC1/XkS090HD/S15f16B852yOsDWEZRHXO1TWzwfICLWj4i/6Vq0FFgYEZs2272ZMirzXHIQZVTof6n3wD5AfbZwd5A+m9JiuX1EtC2p72T4+5Wvp7zXz6jhuHO8+ZSu2WsNfwmT8k1Kt+13RX0udz1+UOptry7xS5n8+/6piPhLF+2IWMj9A3Id0nuXB4qIzSnBdjXKSOTfn2j7LI9HOxx4OOUxbt3eSelm/qM6MNyk1X/3JwPPooxS3g40Jklzgt2wJUkTOZgyMu+3I+IYyoBQTwV2ojxH+TUT7Psb4FcR0f2c5fUp3TIP79ruc8CiiFhCCR/LgGdQHlN0OeU5tLPtnZQuqR8D3lgHqbqO8jzkJ1PuZX4t5XFMAAdQwtGZEXE0pRvtFpRWyu9QnhM8J2TmhRHx95TRnH8VESdSuuXOpwzwth3l8UpPqttnDYc/Bo6JiM5zljcDnk951NZOQxz3voj4V8rI07+IiOMoPQt2oLSanlZ/nhGZeWlE7Evp0XBBHWyu85zlhcAFlGdVd5vs+34N5V7mX0bE8ZTXdhfKAGEHZ+YZg863BtJT6rmdAmzdp6v6Ad0jpAMfonz5tXcN2z+j1OmXU76wWO4ZzxGxB/e3uHd6m+wcEZ2B8S7MzO6R5r9LeR0uBR7SZ6C872Xm+YOuU5JGybAsSeorM/87InagPJbnxZT/Ny6gjF59MxOH5VdTnmP8ekrI/D2lNevT9XE8HfsDr6T8cf18ShfoK+ryA7ofPzVbMvPWiHgO8FbKI4VeRRnl+DrgYuDdlHDY2f7EiNiZ0jL4GsoAaD+jhLv1mENhGSAzvxERF1AGXduB0j33dsrI2t8Bjmq2P6u2Nn+S+7vNn0MJZTsyRFiu9qEE8T0oA73dQnmdP0y5n3lGZeanIuIqyr36u1Mev/Qj4H2ULsXtvfaTfd+XUer6/sCulFbzyyiPNjtwyNNdQAnKUEaq7/cIt0PpGgAtM/9YQ/VHKIOmbQf8kdKavW+fUeifzfLjE2zK/V8enM4DH8vW6XWxfj1OL0sBw7KksRYP/HtFkiRJ3SLikZQvSs7PzCkNNBYRSwEyc9HUz0ySNJO8Z1mSJAmIiEfVe6S7l82j3CqwKnDsSE5MkjQSdsOWJEkqXgV8LCJOBq6kdHPenvKopfMZvou0JOlBwLAsSZJUnAOcSQnIa9Zlv6Pci/2ZzLxjVCcmSZp93rMsSZIkSVLDe5YlSZIkSWoYliVJkiRJahiWJUmSJElqGJYlSZIkSWoYliVJkiRJavwPNnENOD6GAqAAAAAASUVORK5CYII=\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(15,15))\n", + "plt.scatter(MM_pres12, sum_pp_score)\n", + "plt.yticks(fontsize =27)\n", + "plt.xticks(fontsize =20)\n", + "plt.xlabel(\"abs mean median gap 2012\",fontsize=20)\n", + "plt.ylabel(\"sum polsby popper score\",fontsize=20)" + ] + }, + { + "cell_type": "code", + "execution_count": 124, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "1000" + ] + }, + "execution_count": 124, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "len(np.square(MM_pres12))" + ] + }, + { + "cell_type": "code", + "execution_count": 115, + "metadata": {}, + "outputs": [], + "source": [ + "perc_b_pop=[]\n", + "for i in range(1000):\n", + " perc_b_pop.append([x/y for x,y in zip(B_pop[i],pop[i])])" + ] + }, + { + "cell_type": "code", + "execution_count": 121, + "metadata": {}, + "outputs": [], + "source": [ + "max_perc_b_pop=[]\n", + "for i in range(1000):\n", + " max_perc_b_pop.append(max(perc_b_pop[i]))" + ] + }, + { + "cell_type": "code", + "execution_count": 141, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0, 0.5, 'MAX black population %')" + ] + }, + "execution_count": 141, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.scatter(np.square(MM_pres12), max_perc_b_pop)\n", + "plt.xlim(-0.001,0.005)\n", + "plt.xlabel(\"Mean median SQUARED gap pres 12\")\n", + "plt.ylabel(\"MAX black population %\")" + ] + }, + { + "cell_type": "code", + "execution_count": 144, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0, 0.5, 'MAX black population %')" + ] + }, + "execution_count": 144, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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8TrOSxWR6u6RXEcRcu0HSF4Dd+YrltBJXzpvBucdPpl1Jefv6c++GZ7l08dq6nX/FJXP6KZi8rdfiCgfghVd6OPIzxQVDT9tLq2aPzXGKJstM5zTgZeATBBGmXw1ckadQTutx5bwZ/Z6upyxcklr/xhVP1fVpvGjz6LjCqVSeB2lLmtXusTlOkWRJV/1i5OO3cpTFGUL4jXHgpO2lZZ1xOk4jKBfwc4ekFxJeOyS9UKSQzuDDb4wDZ/6sSVWVO04zUM5PZ7SZjUl4jTazMUUK6bQms6eNSz3W6jfGMSPaqyrPg/heWrvEucdPdiMCp6mpmE8nzRHUzLKbKxWE59NpPs752n3cu+HZPmWD5caYp/Wa4xRF0fl0siidqJnRPsBUYL2ZHZGnYLXgSscZzDQiC6sz+Cla6WQxJOjzSCrp9cA/5SaRM6Qo3UjjKRBmTxvHe2ZOTr3JZnWKTDJtbkUnyng21K7t3Vx8W/A86IrHaSWymEz3wcwelPSGPIRxhhZJaaVL3LvhWe7b+Cx7wol49Ca78g/PZnKKTFI45eo3M+WysLrScVqJikpH0kWRj23A64FtuUnkDBmSbqRR9sRWfks32T89/3Ji/bjvTyWfmXr7CuVJI7OwOk49yTLTGR15vxtYAtyajzjOUKKWG+aW7d2k7UJW6/tTq69Q0t4KwGV3rGN7967eegLOiRhNxI0qpo8fxUs797Blezev7uxAgu0v7Urcr/EsrM5gIcuezuUAksYEH21H7lI5Q4K0G2mlNn96/uW6OEXW4iuUtLey4JaH6Okx9sTqGvQu4/1+21/6WfE9vnWv33VUWSXt10zZL3ms6h3HznHyJktqg5mhBdsaYK2khyQdm6VzSSdJWi/pCUkLE46fKOl5SavD16eztnVan6R01lHaYjqhlOo6q1NkJZ+ZWnyFkpYEdyUonCg3rniqn8KpRDzv0PKNzyXWSyt3nGYlS8DPbwAfNrMpZjYF+AjwzUqNJLUDXwLeARwOzJd0eELVX5nZ0eHriirbOi3MvGMmcvXpM5iYsEQ0e9o4rn3v0Uwc24mAiWM7ufr0Gcw7ZmJmp8g1l5+UqHgG4kRZy5Jgrct40XN5nDVnsJBlT2eHmf2q9MHMfi0pyxLbccATZrYRQNJNBMFDH8m5rdNCzDtmYlnrq7RjSQFGk6i3s2YtS4LV5huKnqtSHx5OyGk1ssx0fivpq+FS2FskfRm4W9LrQ5+dNCYC0Rjrm8OyOCeES3Y/kVRyOM3a1nEKJWlJsKNdZf+R5s+aVDYkUBKlpcRoH2l9O04rkWWmc3T49zOx8r8h2Cv925R2SY9g8Ue1B4GDzewvkk4GFgPTM7YNTiKdD5wPMHlyYsQex6kbpZlX0dZrpT48S6jT6lQMg1Nzx9IJwGVmNjf8fDGAmV1dps0mYCaB4qmqLXgYHKf/jb1SZIMi8dTSTjPSdGFwJL2aYJbz5rDol8AVZvZ8hab3A9MlTQW6gLOB98X6fg3wtJmZpOMIlvueAbZXaus4cZKCi9674dk+ZY0KH+OppR0nIKv12g7gveHrBTJYr5nZbuBCYCnwKPB9M1sn6QJJF4TVzgQelvQQ8EXgbAtIbFvdV3OanUsXr2XaxXcyZeESpl1854BTWGc1S46bIxeBp5Z2nIAsezrTzOyMyOfLJa3O0rmZ3QncGSv7SuT9dcB1Wds6g4dan/wXr+ri8h+t47mXgr2TsZ0dXHbqEVXPWqq1QBsobvLsOAFZlE63pDea2a8BJM0GPOCTMyDKPfmnKZ3Fq7pYcMtD7OrZe6Pe3r2LBT94qCYZXnvxEp64+pSa2kZJ2ke64bwT+tSpZPIcD60zZb9Olm98ruL+j6c7cFqNLMtrHwK+JGmTpD8QzEw8tYEzIGp58l+0dH0fhVNi1x5j0dL1VZsl77bgpl2Jxau6mH3Nz5m6cAmzr/l5nzZp+0jnfO2+PmXlTJ5LoXW6wrhyXdu7uXfDs71jUZoFTlm4pM8SZEkJR9stuOWhTN/JcRpFRaVjZqvN7CjgSGCGmR1jZmvyF80ZqkxZuIQpC5dw5Gfu6lNeLhrAlu3d3HDeCVUrnotvW1v2Jp2kEKJt0vaR4uXloihUirYd5bvLn+xVPJf/aF0/Jbyrx7j8R7796TQvWWKv7Sfpi8DdwC8kfUHSfrlL5gx5Xnilp4/iKRdRuXQsvqxViUpGBeXy2FTLlfNmsOHqk9l0zSlsuPrk3uWyakPrlJYmS/tacdLKHacZyLK8dhNB/pwzCKzNtgE35ymU45SI5sRZMPdQOtr7+w13tKmP9361s51KM6hq21RLtekJ3PjAaWWyKJ1xZvZZM/t9+LoSGJu3YI5TomROPe+YiSw68yj2HdnR5/ir9ulrD1PtMluWGVQ1baqlUrTtOKUlurGdHYnH08odpxnIonR+IelsSW3h670EidwcpxBKG+klxfOZdx3R5yb93Eu7+u3N3HDeCWy65hQ2XXMKnz/r6NSbejzGWZwkhRBtkxQhu0Q5A4Qo0WjbpYjas6eNS4wFBXuNEi479Qg6YvkfOtrEZacekdTMcZqCimFwwojSo4DSOkc7UMo+ZWY2Jj/xqsPD4LQOc669u08Ssyy0S2y4+mRmX/PzRD+biWM7uXdhcijAkmlx1/buXvPliaGJ8co/PFs2PE05s+TFq7r4+M2Z3NZoE5gFQQTbJQ45YCQbt71U1iy6UugcN5l2BkrRYXByi73WCFzptBa1KJ5N15zClIXpE+1N11TndxN3Ui1RTb6dcvJUS615fhynVpou9prj5MWyi05MLJ928Z2F5Y6pxUk1Txp1XscpClc6TtMxf9akxNlHHrljag1PEw/Hk7c80fP6cprTyrjScZqOInPH1JKRMykcTz3lKXfei29b2+s31KiI2Y4zELKkNvifZvafsbJrzGxhfmI5Q51y6ajHjGjv478TLa+WWmZVaeF46kGl86Y5qrrScVqFLCbTZ0o6p/QhTFd9QH4iOU551lx+Uj8FM2ZEO2suP6nqvsqFp0mjnGOoqM6YoR7nraejquPkTZbltdOBOyTtAd4BPGtmH85XLMcpTy0Kpl4cOLYzNTVCtU6jG64+OXPdkcPbeXFn/xle/Jxp5uFZI1c7Tp6kznQkjZM0DugE/hH4XwQJ3K4Iyx2n5SmZTMcjOpdLKJclHM+wDIZ2E0YPr0rOJIXTHgsBFA1QCnsNE9IiVw80cZ7jVEu55bUHgJXh318QhL45JVLuDFKyetLXu20jqCWjZ1I4nrGdHSx6z1G9eytPXH1KWcUzYfRwVlwyZ8By7tljffZzqolYXa5fx8mL1OU1M5tapCBOczAQC6lWtK6q1WR63jET+3yn0pLWJ25e3WvKHE0Ql2TqXA8546XV7u948FCnaLKkNviIpLGRz/tK8j2dQcpAQvnXMw1AUaSZKFfjiFop507S8Y/fvLpford6UO2eUh4Ot45TjiyGBOeZ2ZdKH8zsOUnnAV/OTyynUaQ9KXdt7+4N99Iusf+rOnh6x87e47OnjWtJ66pyJtNZHTEvuX1torK9/EfrgqW4lCWvezc8y6WL1/Zu5tfD8XPB3EP7zDYrETfRdudTJ2+ymEy3SXsfhyS1A9l3QJ2WIsuTco9ZH4UDwQ10WMrVVM80APUmzWR65sHjys5eSqRt8EMQ/Xrxqq6ySre0p1JptpSVaMTq0veBvZGry5lo10sGxylHlijTi4ApwFcIlpAvAJ4ys3/JXboq8YCfAye+L1MtnR3tfdp2drRz9ekzWu5pOWsk67Q4cSXSIh5EOff4yfzisW1lz1fPIKdp1BK922l9ig74mWWm8yng58CHgI8APyMwn3YGIfEn5WqJ54VpRYUD2R0xKymULBv1313+ZKrfT+l808ePSjyeVl4Lrbg86rQeFfd0zGwP8H/DlzMEKFlmVXqKL9e21Xl1Zwfbu/sH83x1wVk5S0uTyy46sV8qiOnjR6VG6k4iul8zcng7L+3s6c3tM3/WpFSn1+Fp66aOUwNZYq9NB64GDgf2KZWb2SE5yuU0kNLNqVqFU02K6CzEb7JjRrTz4s49iXKl+b1k3Rg/52v3ce+GZyvKFDf2Ev3NlmslaWkyalpdjYKJE182je5DlRxFZ08bxx+f72ZP7Au9snsP53ztPm4474Saz+84JbI8wnyTYJazG3gr8G3gO1k6l3SSpPWSnpCUGiBU0hsk9Ug6M1K2SdJaSasl+UZNQcQ92pNol/p508+eNq6uN6WkBG8vvNKTqgif3rGTWVct61OWdWM8q8IB+qUyqJfCaZdyXZrM4jS6fONz/RROiazj4ziVyGIy3WlmP5MkM/sDcJmkXwGfKdcotHL7EjAH2AzcL+kOM3skod7ngKUJ3bzVzP6c5Ys49SHt5lT0ZnK1GUWBfhZ1WaMyD+SGmsVQIAv7dATPf3mNcZZ9GXcUdYogy0znZUltwOOSLpT0bmB8hnbHAU+Y2UYz2wncBJyWUO+fgVuBrVmFdvJjMG0mF/Fd6pVY7sWdPbmaJ2cxW3dHUacIsiidjwMjgY8CxwJ/D3wgQ7uJQDSw0+awrBdJE4F3E5hjxzHgp5IekHR+2kkknS9ppaSV27ZtyyCWU460m5NBS8RSi5L2XQbiNxS/MV85bwadHdVvtCfd4POM3rBg7qF0dpTPNzR/1qTUfbl679c5Q5eK/y1mdr+Z/cXMNpvZ/2Nmp5vZ8gx9Jz02xefvnwc+ZWZJi82zzez1BOkUPiLpzSnyXW9mM81s5gEHeJqfgVLu5lSks2AtpsDxfaak7xLfnIfqbqhJM5uXd+1JrCuS/wkgfSkrrxll1BRewKjh7b2yRR1FbzjvhH7jUe/9Omdok7qnI+lHlNknNbNTK/S9GYj+hx4EbInVmQncFAY82B84WdJuM1tsZlvC82yVdDvBct09Fc7pDJDSXkcpH0ucojJVJpkIV2u9Fv0u5azXbjjvhEzGBGlJ1tJMjUszqqRjaXtBeUZvyGrO7grGyZPUiASS3lKuoZn9smzH0jDgd8DfAV3A/cD7zGxdSv3/An5sZrdIGgW0mdmO8P0y4Aozu6vcOT0iQX2ZunBJ4lOHgN/XyQt+MJAUxaEUiQFIPHbGsRO59YGuQRG9wWltio5IUC61Qa9SkTQcOIxg5rM+NAwoi5ntlnQhgVVaO/ANM1sn6YLweNI+TokJwO3hDGgY8L1KCqfVqTbQYhGBGSs9wbcqaZk142MYrdcm+pkTl5adfrDyyT7Ko6ONXuWxeFUXI4a19TnevaunN8hoG8E/VZbfMD4b82UvpxXJEnvtFIKN/g0ED7lTgX8ys5/kL151tOpMp9yTctJNqNr6RcnVCpSLLRf9bllj0I0Z0c4Lr/SvM3vaON4zc3KmPrJEFkhb/nPF4wyUZoy99u8E/jInmtlbCBxE/yNfsYYW1eahKSpvTXzzuZVjqZUo5yQZHcOsGTiTFA4Evj9Z+8jik5S23+ROm06rkcU5dKuZPRH5vBH3qakr1fqTFOlLM1hiqZWoNEbRvEF5n8txhiKpMx1Jp0s6HVgn6U5JH5T0AeBHBEYBTp2o1p8kD/+ToUKRY+S/h+P0p9xM512R908DJWu2bcC+uUk0BEnK9pjkT1Jr/VYiaiDx6s4OJNj+0q4+G+2XLl6bmO0zzohhbXzujCP7zNTeetgB3LD8ybrFTEujmj0dIHV2VdrvmT1tXOqejuO0EhUNCVqJVjUkgOa0XiuagSaQS6JNcO17j67KOCCtn7RgmHGim/vR32lYG6T4kZalpHjces3Jg6INCVzpOE1DWubKgVIKVlpL/0mBTgeaYbOWPEX1yg7qOHGaxk/HcfIkaaaW18Z7qd9q+09bshzo8mZR0Zx9ZuQ0I54S0CmctDw3eWXlLG3oV7ux372rh4/fvJopC5cwNbLnMlBT8iKiOSf59dy74VnO+dp9uZ/bccpRLvba/wH+1cx2xMoPA64zs7flLZzTPMRnJiOHtyX6l2R5mk7zM9qno42OdrGrp74zga0vdHPIxUsy78kkYQRhgUrhfwZiSj5/1qRMhhAlagl+6n49TrNSbqbzJ2C1pPcBSBop6d+AOwiSszlDhKSZSZpDY5an6bRlrude2lW/VJwRdu3JbgRQjnqJduW8GZx7/Nk5VbAAABjqSURBVOTMM55Zh+xXpzM7TuMpF3vtKknfA64L46UdCHwfONrMXipKQKfxZPWsL1HpaTotplu7xK4atMMwgRHEUGuXGD5MdNdiJlYgV86b0S9idZqBwY0rnkqMbu04rUglQ4LSf8AwglnRo65wBkZaDK3Pn3V005o813uDP20jvlpT5rQxm1qniAJFk2ZgUCqPp3ooF7PN/XqcZqVcRIJLgf8Gvm1mfwO8CThN0i8lHV6UgIOJcjlbPn7z6qbNyllvz/q0jfiJVZxnbGdHqpLOKxJA3tv/actt7VI/hQNBzLY5196d2MaTsTnNSrmZzgHAMSVDAjPrAs6U9A7gVuB/FCDfoKLSslMRydFqIWlmUo7ozS7NiTVtIz5+no42gehnXLC9exdTFi5JvJFWK28W6plDKG1M0gwMyhkelAsWGh+Xxau6mH3Nz9myvZuxIzswg+e7d7FPRxuv7N5T1b6X+w05tVJuT+djKeU/kVQ5LK5TNc0aIDIpA2cW67V4BICSaXS0z0rnKfm+pGUyLRkuRG+w8X726WhL3eMpOiFduTEp7dvcuOKp3v2p+bMmceW8GVVZu2U573Mv7eo9Vsv+15SFS1zxODWR2Tk0XFI7G5gPPE+QatqpI80cILIWE+FyKRjS+ko7z7xjJqbGJ0uaQcb7SYvXds7xk8t+h3pTaUySDAzyOq/jNIKySkfSwQRKZj6wGzgYmGlmm/IXbfCRtrlbYjAE7IxSZAqGcixe1cUvHtvWpyw6i4jWyzueXa1jMn38qMSZZVYfnmadRTtDj3KGBL8B7gQ6gDPN7Fhghyuc2kna3C3RzNZrtdIMKRiiPkYlOjva+ff3HtVP4SRFSai3cUetY7LsohP7KZgsGUez9u84RVFuprMNOAiYQGBU8Di5uO4NLYaS9VC9UzDUYgacdYmvlqXAWhjImGRVMFnP6ziNIHWmY2anATOAB4HLJf0e2FfScUUJ57Q29U53XYsZcNblrKKWAhuVAjx+3n1HdjC2swMBnR1ttFVpD+5GBE6tZE5tIGkCcBaBMcEkM5uUp2C14KkNnDhZ0xAMNF2B47QqTZvawMyeBr4IfDE0MHBqJNg/WNNrqtomOOGQcWx6pntQJWVrBrIuZzUqG+thl9zJyxEfpH3axWNXncyli9f2mk5HEYHFnYfFcVqVclGm76jQ9tQ6yzIkWLyqi4tuXk3UM2KP9TX7reTP4mQnzfcnPq5Z69XCrKuW8fSOnb2fJ4wezopL5vRTOAAv9xhTFy5J3Tw16DX9dsXjtCKpy2uStgFPATcCK4hFATGzX+YuXZW0wvJaNdkrfWmn9YkrnBITRg9PLM9Ku8SGq08eiGiOAzTX8tprgDkEPjrvA5YAN5rZuqydSzoJ+ALQDnzdzK5JqfcGYDlwlpndUk3bVqOajWn3rSiG6FJWu8Txh+xbt6XONMUyEIUDxWUfdZx6U856rcfM7jKzDwDHA08Ad0v65ywdS2onyLvzDuBwYH5SoNCw3ueApdW2bUWq8Zdw34r8KUUqKN3Ee8y4d8OzufvrDJQiso86Th6UTVctaYSk04HvAh8hMCS4LWPfxwFPmNlGM9sJ3AScllDvnwkCiG6toW3LsWDuoZlyhBexiT1YKQW2nLpwCbOv+XlZhXHjiqcq9lfy16k3+7QnK44s6mT+rKYzHnWcTJSLSPAt4DfA64HLzewNZvbZMNp0FiYS7AmV2ByWRc8xEXg38JVq20b6OF/SSkkrt23bllSlqZh3zESuPetoOjv2Dn2bAn+Ton03BiNZIgtElVLWZapalzonjB6eWv7YVSf3Uzz7tIvfX3NKamZRAee69ZrTwpTb0/l74EXgdcBHtfcfQICZ2ZgKfSc9sMX/wz8PfMrMetT3HyxL26DQ7HrgeggMCSrI1BTUEjzTyUalyAJJ1oNZqHWpc8Ulc1Kt1wAeuyrZGODKeTOYefC4itZ01cSLKyK2nONUolxqgyyrQOXYDETXAA4CtsTqzARuChXO/sDJknZnbOs4/agUWeDi29ZUrXCyLnWm3dSf+Utfo4Gnd+xk6sIlZW/8WdJCVJM6oto0E46TFwNVLOW4H5guaaqk4QSRDPr4/pjZVDObYmZTgFuAD5vZ4ixtHSeJSgE1s+aOqXapM21Zb+rCJexOmH9XMlIoN2Orpk4tdR0nTzJHJKgWM9st6UICq7R24Btmtk7SBeHx+D5OxbZ5yeo0lrjJcjzlQJRKS0T1iiyQ5B916eK13LD8yd513lHD27nq3YFCSrupVyItqGiWWHDVxItrljQTjpOb0gEwszsJ0iNEyxKVjZl9sFJbZ/ART67WY5bqcZ9liahSZIE2UVVa5jQ5AV7c2cO//OAhYGA376S2B47tTHQijs7kstSppa7j5EmuSsdxzvnafX1C/IwY1sbnzjiyVwmkmSzfuOKpfkona/qBcoYaJxxSPpEewJgR7X1mVOXSXffsMRYtXZ96U89C0o0/y4ytmlldo2LLlXAjBqeEKx0nN+IKB+CV3Xu46PurgUA5pJksJ5VnXSJKu8EtXtXFg08+X1bmYYIr5s3oc4OutA+0ZXs3/3HW0TXlq0m78WeJBVdNvLg8Y8tVwo0YnCiudJzcSJtR7DF6ZyftUqKCSfJRybJEVO4GlzRTirPb4JLbq1MeB47t7L15/sv3H8rk+6OwXbkbfxbT+mrM7xtlql9UgjynNXCl4zSE0uxk/qxJ/fZKSuVxsiwRlbvBZd13eXFndoXT3qbe85duoEkyDmVnXzdicKK40nEaQml2Utq3yWK9lmWJKO1GVut+Szmi1mtAYg6ciU2wf9Ho/RQ3YnCiuNJxcmP2tORN+zbRZ3Zy5bwZmcO6VFoiGsiGfjXEQ9EkWbcBvPWwAxqucBq9n9JoIwanucjTOdQZ4txw3gnMnjauT9mIYW1c+96jc7vhLZh7KJ0d7ZnqDiRO84qNz/T5XM4Kr5E0g1PovGMmcvXpMzy2oAP4TMfJmRvOO6HQ88WX4NK29AeaGODxrS/2+VyNFV6RNMt+iscbdEq40nEGHdEbXFqm1tJ+Qr2W4qqxwisS309xmg1fXnMGNUnLbaX9hGqW4iqRlt+m0Xlvyn1/x2kEPtNxBjVZLN5Kx0YOb89sLj19/Kg+n6uxwiuSRjqFOk4SskGUa33mzJm2cuXKRovhtDBTFi6pWGf6+FEsu+jE/IVxnAKQ9ICZzSzqfD7TcZwIY0a088Ir/Wc7Y0a0s+bykwbcfzURtR1nMOJ7Oo4TYc3lJzFmRN89kHoqnO8uf7LX4KAUUfvSxWsH3LfjtAo+03GcGPVQMElUE1HbcQYrrnScVBodPmWwUBrHcr48UxcuYVgbxANal5bgZh48rpDfYs61d/fxQfL9K6feuCGBk0g8fAp44MpaSBrHWmhvEz2R7HN5/BZxhVPCFc/gpmhDAt/TcRJphvApg4Es6RSy0BNLd5rHb5GkcMqVO04tuNJxEmmW8CmtTp7j5b+F04q40nESSQuT4uFTqiPP8fLfwmlFXOk4iXj4lPpQr1A77W19Y7jl8VvEoyxUKnecWnCl4yTi4ejrQ3wcRwzr+y83ffyo3mMdCf+N7RLnHj+Zf3/PUbn/FssuOrGfgnEjAqfeuPWa48Rws2FnKOHWa47TQJLMhh/f+iJzrr27MQI5ziDDlY7jRHCzYcfJl1yVjqSTJK2X9ISkhQnHT5O0RtJqSSslvTFybJOktaVjecrpOI7jFENuYXAktQNfAuYAm4H7Jd1hZo9Eqv0MuMPMTNKRwPeBwyLH32pmf85LRsdxHKdY8pzpHAc8YWYbzWwncBNwWrSCmf3F9loyjILUlPaOUwhuNuw4+ZKn0pkIRMPqbg7L+iDp3ZIeA5YA/xA5ZMBPJT0g6fy0k0g6P1yaW7lt27Y6ie4MVdxs2HHyJc8o00oo6zeTMbPbgdslvRn4LPC28NBsM9siaTywTNJjZnZPQvvrgeshMJmum/TOkMUVjOPkR54znc3ApMjng4AtaZVDhTJN0v7h5y3h363A7QTLdY7jOE4Lk6fSuR+YLmmqpOHA2cAd0QqSXitJ4fvXA8OBZySNkjQ6LB8FvB14OEdZHcdxnALIbXnNzHZLuhBYCrQD3zCzdZIuCI9/BTgDeL+kXUA3cFZoyTaBYMmtJOP3zOyuvGR1HMdxisHD4DiO4wxhPAyO4ziOM2hxpeM4juMUhisdx3EcpzBc6TiO4ziF4UrHcRzHKQxXOo7jOE5huNJxHMdxCsOVjuM4jlMYrnQcx3GcwnCl4ziO4xTGoAqDI2kHsL7RclRgf6AVsqG6nPXF5awvLmf9ONTMRhd1sjzz6TSC9UXGEKoFSSubXUZwOeuNy1lfXM76IanQgJW+vOY4juMUhisdx3EcpzAGm9K5vtECZKAVZASXs964nPXF5awfhco4qAwJHMdxnOZmsM10HMdxnCbGlY7jOI5THGbWsBdwEoFfzRPAwoTjAr4YHl8DvL5SW2AcsAx4PPy7b+TYxWH99cDcSPmxwNrw2BcJlx0bIScwB3gglOcB4G8jbe4O+1odvsY3UM4pQHdElq806XieE5FxNbAHOLqB4/keYF0ox8xYf810fSbKSfNdn2lyTqGG67NgGZvt2lwEPBbWvx0YO9BrM+nVSIXTDmwADgGGAw8Bh8fqnAz8JBzA44EVldoC/1YaSGAh8Lnw/eFhvRHA1LB9e3jst8AJ4Xl+AryjgXIeAxwYvv9roCv2Tz2zScZzCvBwiixNM56xfmcAGxs8nv8DODR+bprv+kyTs9muzzQ5p1Dl9Vm0jE14bb4dGBa+/xwDvHemvRq5vHYc8ISZbTSzncBNwGmxOqcB37aA5cBYSX9Voe1pwLfC998C5kXKbzKzV8zs9wSa+biwvzFmdp8Fo/jtSJvC5TSzVWa2JSxfB+wjaUTl4Sx8PBNptvGMMR+4sZz8ectpZo+aWVLUjKa6PtPkbLbrs8x4JlJhPBspYzNcmz81s91h++XAQZG+ark2E2mk0pkIPBX5vDksy1KnXNsJZvZHgPDv+Ax9bS4jR9FyRjkDWGVmr0TKvilptaT/V5IaLOdUSask/VLSmyLnaNbxPIv+/9hFj2cazXZ9ZqEZrs9yVHt9NnIsm+3a/AeCmUulvspdm4k0UukooSxuv51WJ0vbrOer1FfRcgYdSkcQTHH/KVJ8jpnNAN4Uvv6+gXL+EZhsZscAFwHfkzQmQ1+NGs9ZwEtm9nCkuJnG06/Pxl+ffm0G8lwC7AZuGGhfSTRS6WwGJkU+HwRsyVinXNunw2lfaSq9NUNfByWUN0pOJB1EsJH3fjPbUCo3s67w7w7gewRT5YbIGU61nwnfP0Cwzvs6mnA8Q84m9iTZoPFMo9muz1Sa7PpMpMbrs/CxDGmaa1PSB4B3Eii9kgKp9dpMxips+uT1Igg2upFgY6q0oXVErM4p9N0M+22ltgQWGNEN5X8L3x9B382wjezdDLs/7L+0GXZyA+UcG9Y7I2G89g/fdwC3ABc0UM4DIuN3CNAFjGu28Qw/txH8gxzS6PGMtL2bvhvfTXV9lpGzqa7PMnJWfX0WLWOzXZsEVm2PAAfE+qrp2ky992dVEnm8CCwsfkfwFHJJWHZBaYDDL/Kl8Pja2EXVr21Yvh/wMwLT2Z+VLrTw2CVh/fX0tQCaCTwcHruO/iaphckJXAq8SF9TyvHAKAIT1TUEG7hfKP3wDZLzjFCOh4AHgXc143iGx04ElsdkaNR4vpvgJvMK8DSwtEmvz0Q5ab7rM03Omq7PBvzmJ9I81+YTBHs3SWbmNV2bSS8Pg+M4juMUhkckcBzHcQrDlY7jOI5TGK50HMdxnMJwpeM4juMUhisdx3EcpzBc6QxRJPWEITZKr4Vh+ZskrQvLOiUtCj8vknSBpPeX6fNASbcU9y3yRdIEST+W9JCkRyTdGTl2hKSfS/qdpA2SLpfUFh67TNInY31tkrR/5PO7JZmkwyJlUyR1h2P/iKRvS+oIj50o6fnYb/a28Fjpt1wXynpRSZbBgqTDJN0n6ZXo2EqaJOkXkh4Nv//HGimnU5lhjRbAaRjdZnZ0Qvk5wP82s28CSPonAmexVxLq9sGCQJBn1lfMhnIFsMzMvgAg6cjwbydwB/AhM/uppJHArcDHgP/I2Pd84NcE3uiXRco3mNnRktoJUjS8l73hSH5lZu9M6Kv3t5Q0nsCD/dXAZ7J+0bwJY4fJzPbU2MWzwEfpH1ByN/AvZvagpNHAA5KWmdkjAxDXyZFB9TTkDAxJ/0hwk/u0pBsk3UHgqLZC0lnRJ3hJr5X03+GT9YOSpoVP6g+Hx9vD2dH9ktaEyqv0xH63pFskPRaeR+GxN0j6TdjnbyWNlvQrSUdHZLy3dPOPlI2U9P3wPDdLWiFpZnjs/0paGT4FXx5ps0nS58Lz/FbSaxOG5K+IBDQ0szXh2/cB95rZT8Pyl4ALgQUZx/lVwGzgfxIonX6YWQ9B2PhqgkZiZluB84ELS+MaOW+bpC+HY/FjSXdKOjM89unwt3pY0vWR3+RuSZ8Pf5eHJR0XP6ekD0r6oaS7JK2X9JmwfEo4A/kygYPmJElvD2csD0r6QTgWSLomnN2tkfS/k76Xmd0P7IqV/9HMHgzf7wAerXbMnIKp5D3qr8H5Anro61V+Vlj+X8CZkXp/iby/DPhk+H4F8O7w/T7ASCI5TAhufJeG70cAKwlCaJwIPE8Qp6kNuA94I0FIjo3AG8I2Ywhm4h8APh+WvQ5YmfBdPgl8NXz/1wRPvzPDz6UICu0EYUiODD9vYq8n9/uBHyf0OxfYDvyCwCO7lEfmWuBjCfWfIwgT0ztOkWOb2Bva5FzgP8P3vyFMsBUbv33C85bkLY1b9DebFv+NYrJMiJWdCdwZjvtrwjpnRscpfP8dQg/+cMy+Fr5/Mwk5aoAPEgTY3A/oJPBQnxl+nz3A8WG9/YF7gFHh508BnyZIwLceep3Vx8bPkXQNJhybAjxJEG6/4f9j/kp++Uxn6NJtZkdHXjdnbRguY0w0s9sBzOxlC572o7wdeL+k1QQKaj9genjst2a22YKlltUEN4tDgT9a8DSLmb1gQW6PHwDvDPc2/oFAKcZ5I0FeECyI1Lsmcuy9kh4EVhHEkDo8cuzGyN8T4p2a2VKCuF1fAw4DVkk6gCDESFIoj9LMIi3MR6l8fkne8O/8SJ1p4Zg9Azxpe2dXECyvRX+zDaSTFAH4jcAPzGyPmf2JQKmVeGs4Q1wL/C3BWJW4EcDM7gHGSBqb0PcyM3vGzLqB28JzAfzBgnwuEMToOhy4N/yOHwAOBl4AXga+Lul0IH4tVSScMd0KfNzMXqi2vVMcvqfj1ELSDS2pzj+HN+69hdKJBDGoSvQQXIeJN3Ize0nSMoJEUu8leILOJI+kqQSzoDeY2XOS/otgBtHbfcr76PmfJdgj+Z6kHxM87a8L/0bPdQjwZzPbLukZgqW5KKOB7ZL2I7ip/7UkI5iBmaT/FdYr7en8FXC3pFPN7I4k2dIIZemhf6TttHHaB/gywezwKUmXkT5OSZ/L1Xkxdv5lZjY/Vpdw2e7vCJYbLyQYo0yEDyS3AjeY2W1Z2zmNwWc6TtWET5KbJc0DkDQi3EyPshT4kPZaX71O0qgy3T4GHCjpDWH90ZJKD0VfJ8i/fn+oBOL8mkAhIelwgtS/ECzRvQg8L2kC8I5Yu7Mif++Ldyrpb0vfK5zdTSNYvrkBeKP2Wo91hvKVNu7vAU4N2xA+vT9kwT7NmQQZHQ82sylmNgn4PXtnBkBvIrqFBLnpMxPOxL4CXGdmcUXwa+CMcG9nAsGSHexVMH8OZwxxY5Czwr7fCDxvZs8nnHqOpHHhWMwD7k2osxyYXdo/C/fiXhee89VmdifwcSDJwCXt+wr4T+BRM7s2azuncfhMZ+jSGS5xlLjLzBZW0f7vga9KuoJgc/c9BOv3Jb5OsGz2YHhj2EaZVLZmtlPSWcD/CW9c3cDbCPYrHpD0AvDNlOZfBr4laQ3BMtoagpvj45JWEcxMNtL/RjhC0gqCh69+T9/AscB1knaHdb5eWv6TdGoo65cJNq6vNLMbwu+yRtJ1wK/D2cxW4B/DPucD18TOcyuBccLnYuWLgcu0N+vlm2K/2ZVmdgt7f8sOgv2s7xDsO8W5lWA28TBBlOEV4Thtl/Q1gmjEmwjC1Ud5TtJvCJT4PyT0C4FC+w7wWuB7ZrZS0pRoBTPbJumDwI3am+L6UmAH8MNwxiXgE/HOJb2GYF9wDLBH0scJluqOJLgW10bG5l9DBeY0IR5l2ml6JB1IsKF9mCWY3CowL+4ws5clTSNIbfA6C3LAp/W5iWA56c91kG8ewU3+rWb2h4H2lyeSXmVmfwmX+X4LzA73d9Lq302wcb+yTJ0PEozlhfWW1xl8+EzHaWoUOKNeBVyUpHBCRgK/CJfyROA/k6pw6o2ZLSaYlbQCPw4NAYYDny2ncBwnD3ym4ziO4xSGGxI4juM4heFKx3EcxykMVzqO4zhOYbjScRzHcQrDlY7jOI5TGP8/QiMVRNYdi0MAAAAASUVORK5CYII=\n", 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"file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.3" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/Pennsylvania/Outputs/init.txt b/Pennsylvania/Outputs/init.txt new file mode 100644 index 0000000..d37577a --- /dev/null +++ b/Pennsylvania/Outputs/init.txt @@ -0,0 +1 @@ +Created Folder \ No newline at end of file diff --git a/Pennsylvania/PA_MM_BPOP.png b/Pennsylvania/PA_MM_BPOP.png new file mode 100644 index 0000000..f1da7bb Binary files /dev/null and b/Pennsylvania/PA_MM_BPOP.png differ diff --git a/Pennsylvania/PA_VTD/PA_VTD.cpg b/Pennsylvania/PA_VTD/PA_VTD.cpg new file mode 100644 index 0000000..3ad133c --- /dev/null +++ b/Pennsylvania/PA_VTD/PA_VTD.cpg @@ -0,0 +1 @@ +UTF-8 \ No newline at end of file diff --git a/Pennsylvania/PA_VTD/PA_VTD.dbf b/Pennsylvania/PA_VTD/PA_VTD.dbf new file mode 100644 index 0000000..bfc098a Binary files /dev/null and b/Pennsylvania/PA_VTD/PA_VTD.dbf differ diff --git a/Pennsylvania/PA_VTD/PA_VTD.prj b/Pennsylvania/PA_VTD/PA_VTD.prj new file mode 100644 index 0000000..747df58 --- /dev/null +++ b/Pennsylvania/PA_VTD/PA_VTD.prj @@ -0,0 +1 @@ +GEOGCS["GCS_North_American_1983",DATUM["D_North_American_1983",SPHEROID["GRS_1980",6378137,298.257222101]],PRIMEM["Greenwich",0],UNIT["Degree",0.017453292519943295]] \ No newline at end of file diff --git a/Pennsylvania/PA_VTD/PA_VTD.qgz b/Pennsylvania/PA_VTD/PA_VTD.qgz new file mode 100644 index 0000000..9cf982e Binary files /dev/null and b/Pennsylvania/PA_VTD/PA_VTD.qgz differ diff --git a/Pennsylvania/PA_VTD/PA_VTD.qpj b/Pennsylvania/PA_VTD/PA_VTD.qpj new file mode 100644 index 0000000..2dab9e6 --- /dev/null +++ b/Pennsylvania/PA_VTD/PA_VTD.qpj @@ -0,0 +1 @@ +GEOGCS["NAD83",DATUM["North_American_Datum_1983",SPHEROID["GRS 1980",6378137,298.257222101,AUTHORITY["EPSG","7019"]],TOWGS84[0,0,0,0,0,0,0],AUTHORITY["EPSG","6269"]],PRIMEM["Greenwich",0,AUTHORITY["EPSG","8901"]],UNIT["degree",0.0174532925199433,AUTHORITY["EPSG","9122"]],AUTHORITY["EPSG","4269"]] diff --git a/Pennsylvania/PA_VTD/PA_VTD.shp b/Pennsylvania/PA_VTD/PA_VTD.shp new file mode 100644 index 0000000..6ce157b Binary files /dev/null and b/Pennsylvania/PA_VTD/PA_VTD.shp differ diff --git a/Pennsylvania/PA_VTD/PA_VTD.shx b/Pennsylvania/PA_VTD/PA_VTD.shx new file mode 100644 index 0000000..8d29f5c Binary files /dev/null and b/Pennsylvania/PA_VTD/PA_VTD.shx differ diff --git a/Pennsylvania/PA_cut_edges_pop_deviation.png b/Pennsylvania/PA_cut_edges_pop_deviation.png new file mode 100644 index 0000000..03246cb Binary files /dev/null and b/Pennsylvania/PA_cut_edges_pop_deviation.png differ diff --git a/Pennsylvania/PA_sum_pp_EG.png b/Pennsylvania/PA_sum_pp_EG.png new file mode 100644 index 0000000..7d47db8 Binary files /dev/null and b/Pennsylvania/PA_sum_pp_EG.png differ diff --git a/Pennsylvania/PA_sum_pp_pop_deviation.png b/Pennsylvania/PA_sum_pp_pop_deviation.png new file mode 100644 index 0000000..a43bd7a Binary files /dev/null and b/Pennsylvania/PA_sum_pp_pop_deviation.png differ diff --git a/Pennsylvania/PA_sum_pp_score_cut_edges.png b/Pennsylvania/PA_sum_pp_score_cut_edges.png new file mode 100644 index 0000000..a43bd7a Binary files /dev/null and b/Pennsylvania/PA_sum_pp_score_cut_edges.png differ diff --git a/Pennsylvania/Pennsylvania version 2.ipynb b/Pennsylvania/Pennsylvania version 2.ipynb new file mode 100644 index 0000000..7b3bdc8 --- /dev/null +++ b/Pennsylvania/Pennsylvania version 2.ipynb @@ -0,0 +1,4954 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "#import matplotlib.pyplot as plt; plt.style.use('ggplot')\n", + "#%config InlineBackend.figure_formats = ['svg']\n", + "from gerrychain import (GeographicPartition, Partition, Graph, MarkovChain,\n", + " proposals, updaters, constraints, accept, Election)\n", + "from gerrychain.proposals import recom\n", + "import matplotlib.pyplot as plt\n", + "from functools import partial\n", + "import pandas as pd\n", + "import geopandas as gpd\n", + "from gerrychain.tree import recursive_tree_part\n", + "import tqdm\n", + "from random import random\n", + "from gerrychain.metrics import efficiency_gap, mean_median\n", + "\n", + "from gerrychain.updaters import cut_edges" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "# evenly sampled time at 200ms intervals\n", + "t = np.arange(0., 5., 0.2)\n", + "\n", + "# red dashes, blue squares and green triangles\n", + "plt.plot([1,2,3,4], [1,3,4,4], 'r-', [1,2,3,4], [2,4,2,2], 'bs', [2,3,4,4], [1,3,4,3], 'g^')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "shape_path = \"./PA_VTD/PA_VTD.shp\"\n", + "\n", + "graph = Graph.from_file(shape_path, reproject = False)\n", + "\n", + "graph.to_json(\"pa_json.json\")\n", + "\n", + "jgraph = Graph.from_json(\"pa_json.json\")" + ] + }, + { + "cell_type": "code", + "execution_count": 117, + "metadata": {}, + "outputs": [], + "source": [ + "df = gpd.read_file(shape_path)" + ] + }, + { + "cell_type": "code", + "execution_count": 118, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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24203941042039410ASPARTANSBURG Voting DistrictSPARTANSBURG Voting District00G5240N...25631403030311.107861e+0843178.68028POLYGON ((-79.77053699999999 41.833582, -79.77...
34203910042039100ACONNEAUT LAKE Voting DistrictCONNEAUT LAKE Voting District00G5240N...69631403030316.599178e+0733666.16493POLYGON ((-80.393242 41.635537, -80.393221 41....
44203920042039200ALINESVILLE Voting DistrictLINESVILLE Voting District00G5240N...20831403030313.467810e+0728677.18146POLYGON ((-80.49727799999999 41.66668, -80.496...
54203943042039430ASPRINGBORO Voting DistrictSPRINGBORO Voting District00G5240N...25031403030311.206652e+0846756.30323POLYGON ((-80.405857 41.849619, -80.4055489999...
64203954042039540ATOWNVILLE Voting DistrictTOWNVILLE Voting District00G5240N...21531403030316.502989e+0739251.19781POLYGON ((-79.90250899999999 41.713213, -79.90...
74210911042109110AMIDDLEBURGMIDDLEBURG Voting DistrictV2G5240N...576101010101757.523266e+0738638.01569POLYGON ((-77.125596 40.80296, -77.12462599999...
8421098042109080AFreeburgFreeburg Voting DistrictV2G5240N...341101010101756.362305e+0733223.11338POLYGON ((-77.01855399999999 40.768456, -77.01...
9421093042109030ABEAVERTOWNBEAVERTOWN Voting DistrictV2G5240N...274101010101755.010558e+0728639.76935POLYGON ((-77.198669 40.773218, -77.1984279999...
104201378042013780AMARTINSBURG DIST 02MARTINSBURG DIST 0200G5240N...882911091009105.634322e+0730729.84652POLYGON ((-78.36262599999999 40.273373, -78.36...
114201382042013820AROARING SPRING PCT 02ROARING SPRING PCT 0200G5240N...850911091009106.268563e+0733755.49599POLYGON ((-78.43409199999999 40.303714, -78.43...
124201338042013380PALTOONA WD 13 PCT 02ALTOONA WD 13 PCT 0200G5240S...14691109100955.943523e+055510.96559POLYGON ((-78.39320099999999 40.532547, -78.39...
134201379042013790ANEWRY Voting DistrictNEWRY Voting District00G5240N...89791109100952.295743e+0723240.29124POLYGON ((-78.455164 40.406083, -78.454093 40....
144206359042063590ASHELOCTASHELOCTA Voting DistrictV2G5240N...47491309050966.347806e+0736625.91025POLYGON ((-79.34966899999999 40.633834, -79.34...
15420637042063070ABLAIRSVILLE VTD 01BLAIRSVILLE VTD 0100G5240N...824913090509134.614304e+0743435.58970POLYGON ((-79.30169099999999 40.451275, -79.30...
164206340042063400AHOMER CITY VTD 01HOMER CITY VTD 0100G5240N...48691309050963.289360e+0733268.84183POLYGON ((-79.201618 40.575111, -79.197265 40....
174206323042063230ACLYMER VTD 01CLYMER VTD 0100G5240N...29791309050964.405905e+0746262.51143POLYGON ((-79.088836 40.646954, -79.0886089999...
184206350042063500AMARION CENTERMARION CENTER Voting DistrictV2G5240N...30191309050568.334141e+0736697.39617POLYGON ((-79.10105299999999 40.839044, -79.10...
19420631042063010AARMAGHARMAGH Voting DistrictV2G5240N...242913090509134.620411e+0747338.75823(POLYGON ((-79.02763399999999 40.41498, -79.02...
204206332042063320AERNESTERNEST Voting DistrictV2G5240N...62291309050961.232466e+0848372.62341POLYGON ((-79.182187 40.672443, -79.181292 40....
214206356042063560APLUMVILLEPLUMVILLE Voting DistrictV2G5240N...29991309050567.549965e+0734992.00199POLYGON ((-79.206727 40.838382, -79.198983 40....
22420054042005040AATWOOD Voting DistrictATWOOD Voting District00G5240N...1991309050961.053519e+0849512.19868POLYGON ((-79.289586 40.697523, -79.2893629999...
234206360042063600ASMICKSBURGSMICKSBURG Voting DistrictV2G5240N...10191309050567.656716e+0735160.09501POLYGON ((-79.209801 40.911299, -79.207735 40....
24420731042073010ABESSEMERBESSEMER Voting DistrictV2G5240N...12031403031263.062853e+0728950.72927POLYGON ((-80.495588 40.936947, -80.495266 40....
254204714042047140AJOHNSONBURG DIST 01JOHNSONBURG DIST 0100G5240N...33651305050525.015237e+0738232.51278POLYGON ((-78.74893899999999 41.513616, -78.74...
264204724042047240ARIDGWAY WD 01RIDGWAY WD 0100G5240N...62051305050521.921733e+0875582.11759POLYGON ((-78.81437199999999 41.518199, -78.80...
274200937042009370AST. CLAIRSVILLE Voting DistrictST. CLAIRSVILLE Voting District00G5240N...602911091809108.865072e+0740795.03573(POLYGON ((-78.619781 40.11660699999999, -78.6...
284200931042009310ASAXTON Voting DistrictSAXTON Voting District00G5240N...297911091809106.993194e+0742228.00592POLYGON ((-78.3477 40.176348, -78.342186 40.18...
294200917042009170AHYNDMAN Voting DistrictHYNDMAN Voting District00G5240N...503911091809101.440705e+0861202.00333POLYGON ((-78.80766899999999 39.724224, -78.80...
..................................................................
8891420018042001080ACARROLL VALLEYCARROLL VALLEY Voting DistrictV2G5240N...315411040904107.538093e+0626764.39707POLYGON ((-77.39215 39.72783099999999, -77.391...
88924200138042001380AMT. JOY TWP VTD 01MT. JOY TWP VTD 0100G5240N...316411040904101.973947e+0723106.72191POLYGON ((-77.215001 39.815446, -77.215 39.815...
88934200120042001200AGERMANY TWPGERMANY TWP Voting DistrictV2G5240N...527411040904102.833718e+0735853.37805POLYGON ((-77.167092 39.719867, -77.166854 39....
88944200133042001330PLITTLESTOWN WD 01LITTLESTOWN WD 0100G5240S...355411040904101.948632e+067657.22255POLYGON ((-77.101066 39.742841, -77.09984 39.7...
88954200132042001320ALIBERTY TWPLIBERTY TWP Voting DistrictV2G5240N...253411040904104.215288e+0754142.85949(POLYGON ((-77.373183 39.750105, -77.373320999...
8896420012042001020AARENDTSVILLEARENDTSVILLE Voting DistrictV2G5240N...132411040904102.124549e+065953.32672POLYGON ((-77.30617099999999 39.930221, -77.30...
88974200143042001430AREADING TWP VTD 01READING TWP VTD 0100G5240N...615411040904102.613024e+0727423.15086POLYGON ((-77.06768599999999 39.977181, -77.06...
88984200143542001435AREADING TWP VTD 02READING TWP VTD 0200G5240N...388411040904104.329509e+0742604.18431POLYGON ((-77.097503 39.948936, -77.0970339999...
88994200115042001150AEAST BERLINEAST BERLIN Voting DistrictV2G5240N...273411040904101.884394e+065852.44183POLYGON ((-76.991021 39.942434, -76.990967 39....
89004200124042001240AGETTYSBURG WD 03 PCT 01GETTYSBURG WD 03 PCT 0100G5240N...210411040904101.429415e+065528.82444POLYGON ((-77.244438 39.828771, -77.2441269999...
89014200117042001170AFRANKLIN TWP VTD 01FRANKLIN TWP VTD 0100G5240N...461411040904106.245258e+0742137.76218POLYGON ((-77.467663 39.903652, -77.4671759999...
89024200128042001280AHIGHLAND TWPHIGHLAND TWP Voting DistrictV2G5240N...222411040904103.160086e+0724847.58314POLYGON ((-77.35681799999999 39.849623, -77.35...
89034200114042001140ACUMBERLAND TWP VTD 04CUMBERLAND TWP VTD 0400G5240N...202411040904101.665574e+0723876.32887POLYGON ((-77.29634799999999 39.814143, -77.29...
89044200119042001190AFREEDOM TWPFREEDOM TWP Voting DistrictV2G5240N...198411040904103.639269e+0732990.35187POLYGON ((-77.32236499999999 39.787084, -77.32...
89054200112042001120ACUMBERLAND TWP VTD 02CUMBERLAND TWP VTD 0200G5240N...324411040904104.083158e+0738575.25072POLYGON ((-77.281453 39.746508, -77.281347 39....
89064200138542001385AMT. JOY TWP VTD 02MT. JOY TWP VTD 0200G5240N...449411040904104.835659e+0738347.84407POLYGON ((-77.232541 39.75500299999999, -77.23...
89074200122042001220AGETTYSBURG WD 01 PCT 02GETTYSBURG WD 01 PCT 0200G5240N...178411040904101.385878e+065694.46672POLYGON ((-77.230379 39.839552, -77.22948 39.8...
89084200145042001450ASTRABAN TWP VTD 02STRABAN TWP VTD 0200G5240N...335411040904106.962482e+0740215.18614POLYGON ((-77.22822699999999 39.89190199999999...
89094200118042001180AFRANKLIN TWP VTD 02FRANKLIN TWP VTD 0200G5240N...424411040904101.153125e+0855082.44410POLYGON ((-77.471085 39.944077, -77.469324 39....
89104200113042001130ACUMBERLAND TWP VTD 03CUMBERLAND TWP VTD 0300G5240N...516411040904101.612706e+0716898.98121POLYGON ((-77.296162 39.843399, -77.296064 39....
89114200111042001110ACUMBERLAND TWP VTD 01CUMBERLAND TWP VTD 0100G5240N...397411040904101.363267e+0718281.67372POLYGON ((-77.271694 39.868008, -77.266487 39....
89124200123042001230AGETTYSBURG WD 02GETTYSBURG WD 0200G5240N...120411040904101.510229e+066177.98514POLYGON ((-77.24600000000001 39.83528099999999...
8913420019042001090ACONEWAGO TWP VTD 01CONEWAGO TWP VTD 0100G5240N...490411040904103.587456e+069250.08581POLYGON ((-77.02620499999999 39.797141, -77.02...
89144200142542001425AOXFORD TWP DIST 01OXFORD TWP DIST 0100G5240N...345411040904101.936123e+0723337.78710POLYGON ((-77.079579 39.838268, -77.0792879999...
89154200140042001400AMT. PLEASANT TWP VTD 02MT. PLEASANT TWP VTD 0200G5240N...259411040904102.842360e+0738061.38574POLYGON ((-77.129397 39.857005, -77.12911 39.8...
89164200110042001100ACONEWAGO TWP VTD 02CONEWAGO TWP VTD 0200G5240N...675411040904102.363041e+0730739.24057POLYGON ((-77.057169 39.795501, -77.0570309999...
89174200148042001480AUNION TWPUNION TWP Voting DistrictV2G5240N...589411040904104.563279e+0732359.74640POLYGON ((-77.09980899999999 39.775428, -77.09...
89184200126042001260AHAMILTON TWPHAMILTON TWP Voting DistrictV2G5240N...490411040904103.543830e+0736863.04152POLYGON ((-77.074522 39.89296, -77.073804 39.8...
8919420011042001010AABBOTTSTOWNABBOTTSTOWN Voting DistrictV2G5240N...124411040904101.439514e+065619.25953POLYGON ((-76.99631699999999 39.886132, -76.99...
8920420014042001040ABERWICK TWPBERWICK TWP Voting DistrictV2G5240N...389411040904102.010254e+0723878.48976(POLYGON ((-76.995575 39.886769, -76.992791999...
\n", + "

8921 rows × 51 columns

\n", + "
" + ], + "text/plain": [ + " STATEFP10 COUNTYFP10 VTDST10 GEOID10 VTDI10 \\\n", + "0 42 039 60 42039060 A \n", + "1 42 039 510 42039510 A \n", + "2 42 039 410 42039410 A \n", + "3 42 039 100 42039100 A \n", + "4 42 039 200 42039200 A \n", + "5 42 039 430 42039430 A \n", + "6 42 039 540 42039540 A \n", + "7 42 109 110 42109110 A \n", + "8 42 109 80 42109080 A \n", + "9 42 109 30 42109030 A \n", + "10 42 013 780 42013780 A \n", + "11 42 013 820 42013820 A \n", + "12 42 013 380 42013380 P \n", + "13 42 013 790 42013790 A \n", + "14 42 063 590 42063590 A \n", + "15 42 063 70 42063070 A \n", + "16 42 063 400 42063400 A \n", + "17 42 063 230 42063230 A \n", + "18 42 063 500 42063500 A \n", + "19 42 063 10 42063010 A \n", + "20 42 063 320 42063320 A \n", + "21 42 063 560 42063560 A \n", + "22 42 005 40 42005040 A \n", + "23 42 063 600 42063600 A \n", + "24 42 073 10 42073010 A \n", + "25 42 047 140 42047140 A \n", + "26 42 047 240 42047240 A \n", + "27 42 009 370 42009370 A \n", + "28 42 009 310 42009310 A \n", + "29 42 009 170 42009170 A \n", + "... ... ... ... ... ... \n", + "8891 42 001 80 42001080 A \n", + "8892 42 001 380 42001380 A \n", + "8893 42 001 200 42001200 A \n", + "8894 42 001 330 42001330 P \n", + "8895 42 001 320 42001320 A \n", + "8896 42 001 20 42001020 A \n", + "8897 42 001 430 42001430 A \n", + "8898 42 001 435 42001435 A \n", + "8899 42 001 150 42001150 A \n", + "8900 42 001 240 42001240 A \n", + "8901 42 001 170 42001170 A \n", + "8902 42 001 280 42001280 A \n", + "8903 42 001 140 42001140 A \n", + "8904 42 001 190 42001190 A \n", + "8905 42 001 120 42001120 A \n", + "8906 42 001 385 42001385 A \n", + "8907 42 001 220 42001220 A \n", + "8908 42 001 450 42001450 A \n", + "8909 42 001 180 42001180 A \n", + "8910 42 001 130 42001130 A \n", + "8911 42 001 110 42001110 A \n", + "8912 42 001 230 42001230 A \n", + "8913 42 001 90 42001090 A \n", + "8914 42 001 425 42001425 A \n", + "8915 42 001 400 42001400 A \n", + "8916 42 001 100 42001100 A \n", + "8917 42 001 480 42001480 A \n", + "8918 42 001 260 42001260 A \n", + "8919 42 001 10 42001010 A \n", + "8920 42 001 40 42001040 A \n", + "\n", + " NAME10 NAMELSAD10 \\\n", + "0 CAMBRIDGE SPRINGS Voting District CAMBRIDGE SPRINGS Voting District \n", + "1 TITUSVILLE WD 03 TITUSVILLE WD 03 \n", + "2 SPARTANSBURG Voting District SPARTANSBURG Voting District \n", + "3 CONNEAUT LAKE Voting District CONNEAUT LAKE Voting District \n", + "4 LINESVILLE Voting District LINESVILLE Voting District \n", + "5 SPRINGBORO Voting District SPRINGBORO Voting District \n", + "6 TOWNVILLE Voting District TOWNVILLE Voting District \n", + "7 MIDDLEBURG MIDDLEBURG Voting District \n", + "8 Freeburg Freeburg Voting District \n", + "9 BEAVERTOWN BEAVERTOWN Voting District \n", + "10 MARTINSBURG DIST 02 MARTINSBURG DIST 02 \n", + "11 ROARING SPRING PCT 02 ROARING SPRING PCT 02 \n", + "12 ALTOONA WD 13 PCT 02 ALTOONA WD 13 PCT 02 \n", + "13 NEWRY Voting District NEWRY Voting District \n", + "14 SHELOCTA SHELOCTA Voting District \n", + "15 BLAIRSVILLE VTD 01 BLAIRSVILLE VTD 01 \n", + "16 HOMER CITY VTD 01 HOMER CITY VTD 01 \n", + "17 CLYMER VTD 01 CLYMER VTD 01 \n", + "18 MARION CENTER MARION CENTER Voting District \n", + "19 ARMAGH ARMAGH Voting District \n", + "20 ERNEST ERNEST Voting District \n", + "21 PLUMVILLE PLUMVILLE Voting District \n", + "22 ATWOOD Voting District ATWOOD Voting District \n", + "23 SMICKSBURG SMICKSBURG Voting District \n", + "24 BESSEMER BESSEMER Voting District \n", + "25 JOHNSONBURG DIST 01 JOHNSONBURG DIST 01 \n", + "26 RIDGWAY WD 01 RIDGWAY WD 01 \n", + "27 ST. CLAIRSVILLE Voting District ST. CLAIRSVILLE Voting District \n", + "28 SAXTON Voting District SAXTON Voting District \n", + "29 HYNDMAN Voting District HYNDMAN Voting District \n", + "... ... ... \n", + "8891 CARROLL VALLEY CARROLL VALLEY Voting District \n", + "8892 MT. JOY TWP VTD 01 MT. JOY TWP VTD 01 \n", + "8893 GERMANY TWP GERMANY TWP Voting District \n", + "8894 LITTLESTOWN WD 01 LITTLESTOWN WD 01 \n", + "8895 LIBERTY TWP LIBERTY TWP Voting District \n", + "8896 ARENDTSVILLE ARENDTSVILLE Voting District \n", + "8897 READING TWP VTD 01 READING TWP VTD 01 \n", + "8898 READING TWP VTD 02 READING TWP VTD 02 \n", + "8899 EAST BERLIN EAST BERLIN Voting District \n", + "8900 GETTYSBURG WD 03 PCT 01 GETTYSBURG WD 03 PCT 01 \n", + "8901 FRANKLIN TWP VTD 01 FRANKLIN TWP VTD 01 \n", + "8902 HIGHLAND TWP HIGHLAND TWP Voting District \n", + "8903 CUMBERLAND TWP VTD 04 CUMBERLAND TWP VTD 04 \n", + "8904 FREEDOM TWP FREEDOM TWP Voting District \n", + "8905 CUMBERLAND TWP VTD 02 CUMBERLAND TWP VTD 02 \n", + "8906 MT. JOY TWP VTD 02 MT. JOY TWP VTD 02 \n", + "8907 GETTYSBURG WD 01 PCT 02 GETTYSBURG WD 01 PCT 02 \n", + "8908 STRABAN TWP VTD 02 STRABAN TWP VTD 02 \n", + "8909 FRANKLIN TWP VTD 02 FRANKLIN TWP VTD 02 \n", + "8910 CUMBERLAND TWP VTD 03 CUMBERLAND TWP VTD 03 \n", + "8911 CUMBERLAND TWP VTD 01 CUMBERLAND TWP VTD 01 \n", + "8912 GETTYSBURG WD 02 GETTYSBURG WD 02 \n", + "8913 CONEWAGO TWP VTD 01 CONEWAGO TWP VTD 01 \n", + "8914 OXFORD TWP DIST 01 OXFORD TWP DIST 01 \n", + "8915 MT. PLEASANT TWP VTD 02 MT. PLEASANT TWP VTD 02 \n", + "8916 CONEWAGO TWP VTD 02 CONEWAGO TWP VTD 02 \n", + "8917 UNION TWP UNION TWP Voting District \n", + "8918 HAMILTON TWP HAMILTON TWP Voting District \n", + "8919 ABBOTTSTOWN ABBOTTSTOWN Voting District \n", + "8920 BERWICK TWP BERWICK TWP Voting District \n", + "\n", + " LSAD10 MTFCC10 FUNCSTAT10 ... F2014GOVR 2011_PLA_1 REMEDIAL_P \\\n", + "0 00 G5240 N ... 0 3 14 \n", + "1 00 G5240 N ... 957 3 14 \n", + "2 00 G5240 N ... 256 3 14 \n", + "3 00 G5240 N ... 696 3 14 \n", + "4 00 G5240 N ... 208 3 14 \n", + "5 00 G5240 N ... 250 3 14 \n", + "6 00 G5240 N ... 215 3 14 \n", + "7 V2 G5240 N ... 576 10 10 \n", + "8 V2 G5240 N ... 341 10 10 \n", + "9 V2 G5240 N ... 274 10 10 \n", + "10 00 G5240 N ... 882 9 11 \n", + "11 00 G5240 N ... 850 9 11 \n", + "12 00 G5240 S ... 146 9 11 \n", + "13 00 G5240 N ... 897 9 11 \n", + "14 V2 G5240 N ... 474 9 13 \n", + "15 00 G5240 N ... 824 9 13 \n", + "16 00 G5240 N ... 486 9 13 \n", + "17 00 G5240 N ... 297 9 13 \n", + "18 V2 G5240 N ... 301 9 13 \n", + "19 V2 G5240 N ... 242 9 13 \n", + "20 V2 G5240 N ... 622 9 13 \n", + "21 V2 G5240 N ... 299 9 13 \n", + "22 00 G5240 N ... 19 9 13 \n", + "23 V2 G5240 N ... 101 9 13 \n", + "24 V2 G5240 N ... 120 3 14 \n", + "25 00 G5240 N ... 336 5 13 \n", + "26 00 G5240 N ... 620 5 13 \n", + "27 00 G5240 N ... 602 9 11 \n", + "28 00 G5240 N ... 297 9 11 \n", + "29 00 G5240 N ... 503 9 11 \n", + "... ... ... ... ... ... ... ... \n", + "8891 V2 G5240 N ... 315 4 11 \n", + "8892 00 G5240 N ... 316 4 11 \n", + "8893 V2 G5240 N ... 527 4 11 \n", + "8894 00 G5240 S ... 355 4 11 \n", + "8895 V2 G5240 N ... 253 4 11 \n", + "8896 V2 G5240 N ... 132 4 11 \n", + "8897 00 G5240 N ... 615 4 11 \n", + "8898 00 G5240 N ... 388 4 11 \n", + "8899 V2 G5240 N ... 273 4 11 \n", + "8900 00 G5240 N ... 210 4 11 \n", + "8901 00 G5240 N ... 461 4 11 \n", + "8902 V2 G5240 N ... 222 4 11 \n", + "8903 00 G5240 N ... 202 4 11 \n", + "8904 V2 G5240 N ... 198 4 11 \n", + "8905 00 G5240 N ... 324 4 11 \n", + "8906 00 G5240 N ... 449 4 11 \n", + "8907 00 G5240 N ... 178 4 11 \n", + "8908 00 G5240 N ... 335 4 11 \n", + "8909 00 G5240 N ... 424 4 11 \n", + "8910 00 G5240 N ... 516 4 11 \n", + "8911 00 G5240 N ... 397 4 11 \n", + "8912 00 G5240 N ... 120 4 11 \n", + "8913 00 G5240 N ... 490 4 11 \n", + "8914 00 G5240 N ... 345 4 11 \n", + "8915 00 G5240 N ... 259 4 11 \n", + "8916 00 G5240 N ... 675 4 11 \n", + "8917 V2 G5240 N ... 589 4 11 \n", + "8918 V2 G5240 N ... 490 4 11 \n", + "8919 V2 G5240 N ... 124 4 11 \n", + "8920 V2 G5240 N ... 389 4 11 \n", + "\n", + " 538CPCT__1 538DEM_PL 538GOP_PL 8THGRADE_1 area perimeter \\\n", + "0 03 03 03 1 5.825700e+07 45771.53136 \n", + "1 03 03 03 1 9.689289e+07 39695.64227 \n", + "2 03 03 03 1 1.107861e+08 43178.68028 \n", + "3 03 03 03 1 6.599178e+07 33666.16493 \n", + "4 03 03 03 1 3.467810e+07 28677.18146 \n", + "5 03 03 03 1 1.206652e+08 46756.30323 \n", + "6 03 03 03 1 6.502989e+07 39251.19781 \n", + "7 10 10 17 5 7.523266e+07 38638.01569 \n", + "8 10 10 17 5 6.362305e+07 33223.11338 \n", + "9 10 10 17 5 5.010558e+07 28639.76935 \n", + "10 09 10 09 10 5.634322e+07 30729.84652 \n", + "11 09 10 09 10 6.268563e+07 33755.49599 \n", + "12 09 10 09 5 5.943523e+05 5510.96559 \n", + "13 09 10 09 5 2.295743e+07 23240.29124 \n", + "14 09 05 09 6 6.347806e+07 36625.91025 \n", + "15 09 05 09 13 4.614304e+07 43435.58970 \n", + "16 09 05 09 6 3.289360e+07 33268.84183 \n", + "17 09 05 09 6 4.405905e+07 46262.51143 \n", + "18 09 05 05 6 8.334141e+07 36697.39617 \n", + "19 09 05 09 13 4.620411e+07 47338.75823 \n", + "20 09 05 09 6 1.232466e+08 48372.62341 \n", + "21 09 05 05 6 7.549965e+07 34992.00199 \n", + "22 09 05 09 6 1.053519e+08 49512.19868 \n", + "23 09 05 05 6 7.656716e+07 35160.09501 \n", + "24 03 03 12 6 3.062853e+07 28950.72927 \n", + "25 05 05 05 2 5.015237e+07 38232.51278 \n", + "26 05 05 05 2 1.921733e+08 75582.11759 \n", + "27 09 18 09 10 8.865072e+07 40795.03573 \n", + "28 09 18 09 10 6.993194e+07 42228.00592 \n", + "29 09 18 09 10 1.440705e+08 61202.00333 \n", + "... ... ... ... ... ... ... \n", + "8891 04 09 04 10 7.538093e+06 26764.39707 \n", + "8892 04 09 04 10 1.973947e+07 23106.72191 \n", + "8893 04 09 04 10 2.833718e+07 35853.37805 \n", + "8894 04 09 04 10 1.948632e+06 7657.22255 \n", + "8895 04 09 04 10 4.215288e+07 54142.85949 \n", + "8896 04 09 04 10 2.124549e+06 5953.32672 \n", + "8897 04 09 04 10 2.613024e+07 27423.15086 \n", + "8898 04 09 04 10 4.329509e+07 42604.18431 \n", + "8899 04 09 04 10 1.884394e+06 5852.44183 \n", + "8900 04 09 04 10 1.429415e+06 5528.82444 \n", + "8901 04 09 04 10 6.245258e+07 42137.76218 \n", + "8902 04 09 04 10 3.160086e+07 24847.58314 \n", + "8903 04 09 04 10 1.665574e+07 23876.32887 \n", + "8904 04 09 04 10 3.639269e+07 32990.35187 \n", + "8905 04 09 04 10 4.083158e+07 38575.25072 \n", + "8906 04 09 04 10 4.835659e+07 38347.84407 \n", + "8907 04 09 04 10 1.385878e+06 5694.46672 \n", + "8908 04 09 04 10 6.962482e+07 40215.18614 \n", + "8909 04 09 04 10 1.153125e+08 55082.44410 \n", + "8910 04 09 04 10 1.612706e+07 16898.98121 \n", + "8911 04 09 04 10 1.363267e+07 18281.67372 \n", + "8912 04 09 04 10 1.510229e+06 6177.98514 \n", + "8913 04 09 04 10 3.587456e+06 9250.08581 \n", + "8914 04 09 04 10 1.936123e+07 23337.78710 \n", + "8915 04 09 04 10 2.842360e+07 38061.38574 \n", + "8916 04 09 04 10 2.363041e+07 30739.24057 \n", + "8917 04 09 04 10 4.563279e+07 32359.74640 \n", + "8918 04 09 04 10 3.543830e+07 36863.04152 \n", + "8919 04 09 04 10 1.439514e+06 5619.25953 \n", + "8920 04 09 04 10 2.010254e+07 23878.48976 \n", + "\n", + " geometry \n", + "0 POLYGON ((-80.11566499999999 41.762615, -80.11... \n", + "1 POLYGON ((-79.64411699999999 41.617206, -79.64... \n", + "2 POLYGON ((-79.77053699999999 41.833582, -79.77... \n", + "3 POLYGON ((-80.393242 41.635537, -80.393221 41.... \n", + "4 POLYGON ((-80.49727799999999 41.66668, -80.496... \n", + "5 POLYGON ((-80.405857 41.849619, -80.4055489999... \n", + "6 POLYGON ((-79.90250899999999 41.713213, -79.90... \n", + "7 POLYGON ((-77.125596 40.80296, -77.12462599999... \n", + "8 POLYGON ((-77.01855399999999 40.768456, -77.01... \n", + "9 POLYGON ((-77.198669 40.773218, -77.1984279999... \n", + "10 POLYGON ((-78.36262599999999 40.273373, -78.36... \n", + "11 POLYGON ((-78.43409199999999 40.303714, -78.43... \n", + "12 POLYGON ((-78.39320099999999 40.532547, -78.39... \n", + "13 POLYGON ((-78.455164 40.406083, -78.454093 40.... \n", + "14 POLYGON ((-79.34966899999999 40.633834, -79.34... \n", + "15 POLYGON ((-79.30169099999999 40.451275, -79.30... \n", + "16 POLYGON ((-79.201618 40.575111, -79.197265 40.... \n", + "17 POLYGON ((-79.088836 40.646954, -79.0886089999... \n", + "18 POLYGON ((-79.10105299999999 40.839044, -79.10... \n", + "19 (POLYGON ((-79.02763399999999 40.41498, -79.02... \n", + "20 POLYGON ((-79.182187 40.672443, -79.181292 40.... \n", + "21 POLYGON ((-79.206727 40.838382, -79.198983 40.... \n", + "22 POLYGON ((-79.289586 40.697523, -79.2893629999... \n", + "23 POLYGON ((-79.209801 40.911299, -79.207735 40.... \n", + "24 POLYGON ((-80.495588 40.936947, -80.495266 40.... \n", + "25 POLYGON ((-78.74893899999999 41.513616, -78.74... \n", + "26 POLYGON ((-78.81437199999999 41.518199, -78.80... \n", + "27 (POLYGON ((-78.619781 40.11660699999999, -78.6... \n", + "28 POLYGON ((-78.3477 40.176348, -78.342186 40.18... \n", + "29 POLYGON ((-78.80766899999999 39.724224, -78.80... \n", + "... ... \n", + "8891 POLYGON ((-77.39215 39.72783099999999, -77.391... \n", + "8892 POLYGON ((-77.215001 39.815446, -77.215 39.815... \n", + "8893 POLYGON ((-77.167092 39.719867, -77.166854 39.... \n", + "8894 POLYGON ((-77.101066 39.742841, -77.09984 39.7... \n", + "8895 (POLYGON ((-77.373183 39.750105, -77.373320999... \n", + "8896 POLYGON ((-77.30617099999999 39.930221, -77.30... \n", + "8897 POLYGON ((-77.06768599999999 39.977181, -77.06... \n", + "8898 POLYGON ((-77.097503 39.948936, -77.0970339999... \n", + "8899 POLYGON ((-76.991021 39.942434, -76.990967 39.... \n", + "8900 POLYGON ((-77.244438 39.828771, -77.2441269999... \n", + "8901 POLYGON ((-77.467663 39.903652, -77.4671759999... \n", + "8902 POLYGON ((-77.35681799999999 39.849623, -77.35... \n", + "8903 POLYGON ((-77.29634799999999 39.814143, -77.29... \n", + "8904 POLYGON ((-77.32236499999999 39.787084, -77.32... \n", + "8905 POLYGON ((-77.281453 39.746508, -77.281347 39.... \n", + "8906 POLYGON ((-77.232541 39.75500299999999, -77.23... \n", + "8907 POLYGON ((-77.230379 39.839552, -77.22948 39.8... \n", + "8908 POLYGON ((-77.22822699999999 39.89190199999999... \n", + "8909 POLYGON ((-77.471085 39.944077, -77.469324 39.... \n", + "8910 POLYGON ((-77.296162 39.843399, -77.296064 39.... \n", + "8911 POLYGON ((-77.271694 39.868008, -77.266487 39.... \n", + "8912 POLYGON ((-77.24600000000001 39.83528099999999... \n", + "8913 POLYGON ((-77.02620499999999 39.797141, -77.02... \n", + "8914 POLYGON ((-77.079579 39.838268, -77.0792879999... \n", + "8915 POLYGON ((-77.129397 39.857005, -77.12911 39.8... \n", + "8916 POLYGON ((-77.057169 39.795501, -77.0570309999... \n", + "8917 POLYGON ((-77.09980899999999 39.775428, -77.09... \n", + "8918 POLYGON ((-77.074522 39.89296, -77.073804 39.8... \n", + "8919 POLYGON ((-76.99631699999999 39.886132, -76.99... \n", + "8920 (POLYGON ((-76.995575 39.886769, -76.992791999... \n", + "\n", + "[8921 rows x 51 columns]" + ] + }, + "execution_count": 118, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df" + ] + }, + { + "cell_type": "code", + "execution_count": 119, + "metadata": {}, + "outputs": [], + "source": [ + "df[\"nB_POP\"] = df[\"TOT_POP\"].astype(\"int\") - df[\"BLACK_POP\"].astype(\"int\")\n", + "jgraph.join(df, columns=[\"nB_POP\"])" + ] + }, + { + "cell_type": "code", + "execution_count": 120, + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "data": { + "text/plain": [ + "{'boundary_node': False,\n", + " 'area': 221930381.4,\n", + " 'STATEFP10': '42',\n", + " 'COUNTYFP10': '083',\n", + " 'VTDST10': '390',\n", + " 'GEOID10': '42083390',\n", + " 'VTDI10': 'P',\n", + " 'NAME10': 'PORT ALLEGANY DIST 01',\n", + " 'NAMELSAD10': 'PORT ALLEGANY DIST 01',\n", + " 'LSAD10': '00',\n", + " 'MTFCC10': 'G5240',\n", + " 'FUNCSTAT10': 'S',\n", + " 'ALAND10': 3272917,\n", + " 'AWATER10': 46188,\n", + " 'INTPTLAT10': '+41.8128006',\n", + " 'INTPTLON10': '-078.2746043',\n", + " 'ATG12D': 449.0,\n", + " 'ATG12R': 730.0,\n", + " 'GOV10D': 230.0,\n", + " 'GOV10R': 609.0,\n", + " 'PRES12D': 416.0,\n", + " 'PRES12O': 32.0,\n", + " 'PRES12R': 811.0,\n", + " 'SEN10D': 246.0,\n", + " 'SEN10R': 601.0,\n", + " 'T16ATGD': 340.0,\n", + " 'T16ATGR': 1016.0,\n", + " 'T16PRESD': 334.0,\n", + " 'T16PRESOTH': 63.0,\n", + " 'T16PRESR': 993.0,\n", + " 'T16SEND': 323.0,\n", + " 'T16SENR': 988.0,\n", + " 'USS12D': 415.0,\n", + " 'USS12R': 798.0,\n", + " 'GOV': 5,\n", + " 'TS': 5,\n", + " 'HISP_POP': 27,\n", + " 'TOT_POP': 3769,\n", + " 'WHITE_POP': 3693,\n", + " 'BLACK_POP': 6,\n", + " 'NATIVE_POP': 6,\n", + " 'ASIAN_POP': 5,\n", + " 'F2014GOVD': 286,\n", + " 'F2014GOVR': 469,\n", + " '2011_PLA_1': 5,\n", + " 'REMEDIAL_P': 13,\n", + " '538CPCT__1': '05',\n", + " '538DEM_PL': '05',\n", + " '538GOP_PL': '05',\n", + " '8THGRADE_1': '2',\n", + " 'perimeter': 73251.10063,\n", + " 'nB_POP': 3763}" + ] + }, + "execution_count": 120, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "jgraph.nodes[78]" + ] + }, + { + "cell_type": "code", + "execution_count": 121, + "metadata": {}, + "outputs": [], + "source": [ + "elections = [\n", + " Election(\"SEN10\", {\"Democratic\": \"SEN10D\", \"Republican\": \"SEN10R\"}),\n", + " Election(\"SEN12\", {\"Democratic\": \"USS12D\", \"Republican\": \"USS12R\"}),\n", + " Election(\"SEN16\", {\"Democratic\": \"T16SEND\", \"Republican\": \"T16SENR\"}),\n", + " Election(\"PRES12\", {\"Democratic\": \"PRES12D\", \"Republican\": \"PRES12R\"}),\n", + " Election(\"PRES16\", {\"Democratic\": \"T16PRESD\", \"Republican\": \"T16PRESR\"})\n", + "]" + ] + }, + { + "cell_type": "code", + "execution_count": 122, + "metadata": {}, + "outputs": [], + "source": [ + "# Population updater, for computing how close to equality the district\n", + "# populations are. \"TOT_POP\" is the population column from our shapefile.\n", + "my_updaters = {\"population\": updaters.Tally(\"TOT_POP\", alias=\"population\"),\n", + " \"BLACK_POP\":Election(\"BLACK_POP\",{\"BLACK_POP\":\"BLACK_POP\",\"nB_POP\":\"nB_POP\"})}\n", + "\n", + "# Election updaters, for computing election results using the vote totals\n", + "# from our shapefile.\n", + "election_updaters = {election.name: election for election in elections}\n", + "my_updaters.update(election_updaters)" + ] + }, + { + "cell_type": "code", + "execution_count": 123, + "metadata": {}, + "outputs": [], + "source": [ + "initial_partition = GeographicPartition(jgraph, assignment=\"2011_PLA_1\", updaters=my_updaters)" + ] + }, + { + "cell_type": "code", + "execution_count": 124, + "metadata": {}, + "outputs": [], + "source": [ + "# The ReCom proposal needs to know the ideal population for the districts so that\n", + "# we can improve speed by bailing early on unbalanced partitions.\n", + "\n", + "ideal_population = sum(initial_partition[\"population\"].values()) / len(initial_partition)\n", + "\n", + "# We use functools.partial to bind the extra parameters (pop_col, pop_target, epsilon, node_repeats)\n", + "# of the recom proposal.\n", + "proposal = partial(recom,\n", + " pop_col=\"TOT_POP\",\n", + " pop_target=ideal_population,\n", + " epsilon=0.02,\n", + " node_repeats=2\n", + " )" + ] + }, + { + "cell_type": "code", + "execution_count": 125, + "metadata": {}, + "outputs": [], + "source": [ + "compactness_bound = constraints.UpperBound(\n", + " lambda p: len(p[\"cut_edges\"]),\n", + " 2*len(initial_partition[\"cut_edges\"])\n", + ")\n", + "\n", + "pop_constraint = constraints.within_percent_of_ideal_population(initial_partition, 0.02)" + ] + }, + { + "cell_type": "code", + "execution_count": 128, + "metadata": {}, + "outputs": [], + "source": [ + "chain = MarkovChain(\n", + " proposal=proposal,\n", + " constraints=[\n", + " pop_constraint,\n", + " compactness_bound\n", + " ],\n", + " accept=accept.always_accept,\n", + " initial_state=initial_partition,\n", + " total_steps=1000\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 129, + "metadata": {}, + "outputs": [], + "source": [ + "data = pd.DataFrame(\n", + " sorted(partition[\"BLACK_POP\"].percents(\"BLACK_POP\"))\n", + " for partition in chain\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [], + "source": [ + "# This will take about 10 minutes.\n", + "\n", + "#data = pandas.DataFrame(\n", + "# sorted(partition[\"SEN12\"].percents(\"Democratic\"))\n", + "# for partition in chain\n", + "#)" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "#fig, ax = plt.subplots(figsize=(8, 6))\n", + "\n", + "# Draw 50% line\n", + "#ax.axhline(0.5, color=\"#cccccc\")\n", + "\n", + "## Draw boxplot\n", + "#data.boxplot(ax=ax, positions=range(len(data.columns)))\n", + "\n", + "# Draw initial plan's Democratic vote %s (.iloc[0] gives the first row)\n", + "#plt.plot(data.iloc[0], \"ro\")\n", + "\n", + "# Annotate\n", + "#ax.set_title(\"Comparing the 2011 plan to an ensemble\")\n", + "#ax.set_ylabel(\"Democratic vote % (Senate 2012)\")\n", + "#ax.set_xlabel(\"Sorted districts\")\n", + "#ax.set_ylim(0, 1)\n", + "#ax.set_yticks([0, 0.25, 0.5, 0.75, 1])\n", + "\n", + "#plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 130, + "metadata": { + "scrolled": false + }, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(figsize=(8, 6))\n", + "\n", + "# Draw 50% line\n", + "ax.axhline(0.37, color=\"red\")\n", + "ax.axhline(0.55, color=\"red\")\n", + "\n", + "# Draw boxplot\n", + "data.boxplot(ax=ax, positions=range(len(data.columns)))\n", + "\n", + "# Draw initial plan's Democratic vote %s (.iloc[0] gives the first row)\n", + "plt.plot(data.iloc[0], \"ro\")\n", + "\n", + "# Annotate\n", + "ax.set_title(\"Comparing the 2011 plan to an ensemble\")\n", + "ax.set_ylabel(\"black population %\")\n", + "ax.set_xlabel(\"Sorted districts\")\n", + "ax.set_ylim(0, 1)\n", + "ax.set_yticks([0, 0.25, 0.5, 0.75, 1])\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 134, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0, 0.5, 'black pop % dist 17')" + ] + }, + "execution_count": 134, + "metadata": {}, + "output_type": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.scatter(data[15], data[16])\n", + "plt.xlabel(\"black pop % dist 15\")\n", + "plt.ylabel(\"black pop % dist 16\")" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0, 0.5, 'black pop % dist 15')" + ] + }, + "execution_count": 33, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.scatter(data[14], data[15])\n", + "plt.xlabel(\"black pop % dist 14\")\n", + "plt.ylabel(\"black pop % dist 15\")" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0, 0.5, 'black pop % dist 14')" + ] + }, + "execution_count": 34, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.scatter(data[13], data[14])\n", + "plt.xlabel(\"black pop % dist 13\")\n", + "plt.ylabel(\"black pop % dist 14\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 50 State Senate districts" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "8921" + ] + }, + "execution_count": 37, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "len(jgraph)" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": {}, + "outputs": [], + "source": [ + "Total_pop_PA=[]\n", + "for i in range(8921):\n", + " Total_pop_PA.append(jgraph.nodes[i]['TOT_POP'])" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": {}, + "outputs": [], + "source": [ + "Total_population_PA=sum(Total_pop_PA)" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "12684929" + ] + }, + "execution_count": 40, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "Total_population_PA" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": {}, + "outputs": [], + "source": [ + "new_plan = recursive_tree_part(jgraph, range(50), Total_population_PA/50,\"TOT_POP\", .01, 1)" + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": {}, + "outputs": [], + "source": [ + "initial_partition = Partition(jgraph, new_plan, updaters=my_updaters)" + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "metadata": {}, + "outputs": [], + "source": [ + "# Population updater, for computing how close to equality the district\n", + "# populations are. \"TOT_POP\" is the population column from our shapefile.\n", + "my_updaters = {\"population\": updaters.Tally(\"TOT_POP\", alias=\"population\"),\n", + " \"BLACK_POP\":Election(\"BLACK_POP\",{\"BLACK_POP\":\"BLACK_POP\",\"nB_POP\":\"nB_POP\"}),\n", + " \"cut_edges\": cut_edges}" + ] + }, + { + "cell_type": "code", + "execution_count": 51, + "metadata": {}, + "outputs": [], + "source": [ + "# The ReCom proposal needs to know the ideal population for the districts so that\n", + "# we can improve speed by bailing early on unbalanced partitions.\n", + "\n", + "ideal_population = sum(initial_partition[\"population\"].values()) / len(initial_partition)\n", + "\n", + "# We use functools.partial to bind the extra parameters (pop_col, pop_target, epsilon, node_repeats)\n", + "# of the recom proposal.\n", + "proposal = partial(recom,\n", + " pop_col=\"TOT_POP\",\n", + " pop_target=Total_population_PA/50,\n", + " epsilon=0.05, # epsilon is the deviation allowed\n", + " node_repeats=3 \n", + " )\n", + "\n", + "compactness_bound = constraints.UpperBound(\n", + " lambda p: len(p[\"cut_edges\"]),\n", + " 2*len(initial_partition[\"cut_edges\"])\n", + ")\n", + "\n", + "pop_constraint = constraints.within_percent_of_ideal_population(initial_partition, 0.30)" + ] + }, + { + "cell_type": "code", + "execution_count": 52, + "metadata": {}, + "outputs": [], + "source": [ + "chain = MarkovChain(\n", + " proposal=proposal,\n", + " constraints=[\n", + " pop_constraint,\n", + " compactness_bound\n", + " ],\n", + " accept=accept.always_accept,\n", + " initial_state=initial_partition,\n", + " total_steps=10000\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 53, + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "162b290bf6424e80849ef1351c6a68ab", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "HBox(children=(IntProgress(value=0, max=10000), HTML(value='')))" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n" + ] + } + ], + "source": [ + "data = pd.DataFrame(\n", + " sorted(partition[\"BLACK_POP\"].percents(\"BLACK_POP\"))\n", + " for partition in chain.with_progress_bar()\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 54, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(figsize=(15, 20))\n", + "\n", + "# Draw 50% line\n", + "ax.axhline(0.37, color=\"red\")\n", + "ax.axhline(0.55, color=\"red\")\n", + "\n", + "# Draw boxplot\n", + "data.boxplot(ax=ax, positions=range(len(data.columns)))\n", + "\n", + "# Draw initial plan's Democratic vote %s (.iloc[0] gives the first row)\n", + "#plt.plot(data.iloc[0], \"ro\")\n", + "\n", + "# Annotate\n", + "ax.set_title(\"Comparing the 2011 plan to an ensemble\")\n", + "ax.set_ylabel(\"black population %\")\n", + "ax.set_xlabel(\"Sorted districts\")\n", + "ax.set_ylim(0, 1)\n", + "ax.set_yticks([0, 0.25, 0.5, 0.75, 1])\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0, 0.5, 'black pop % dist 47')" + ] + }, + "execution_count": 58, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.scatter(data[46], data[47], alpha=0.1)\n", + "plt.xlabel(\"black pop % dist 46\")\n", + "plt.ylabel(\"black pop % dist 47\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Designing acceptance function" + ] + }, + { + "cell_type": "code", + "execution_count": 60, + "metadata": {}, + "outputs": [], + "source": [ + "def step_num(partition):\n", + " parent = partition.parent\n", + " if not parent:\n", + " return 0\n", + " return parent[\"step_num\"] + 1\n", + "step_updater = {\"Step\": step_num} ## A simple example that tracks the number of steps in the Markov Chain, which is useful for performing annealing" + ] + }, + { + "cell_type": "code", + "execution_count": 64, + "metadata": {}, + "outputs": [], + "source": [ + "def num_splits(partition, df=df):\n", + " df[\"current\"] = df.index.map(partition.assignment)\n", + " return sum(df.groupby('COUNTYFP10')[\"current\"].nunique() >1)\n", + "my_updaters.update({\"County Splits\": num_splits})\n", + "# several states have rules that incentivize keeping counties or other municipal units together\n", + "# Thus, it is sometimes useful to track the number of counties that are split by the current districting plan" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "chain = MarkovChain(\n", + " proposal=proposal,\n", + " constraints=[\n", + " pop_constraint,\n", + " compactness_bound\n", + " ],\n", + " accept=accept.always_accept,\n", + " initial_state=initial_partition,\n", + " total_steps=1000\n", + ")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Making our chain go in the direction of pareto front" + ] + }, + { + "cell_type": "code", + "execution_count": 69, + "metadata": {}, + "outputs": [], + "source": [ + "def pareto_driver(partition, metrics, p=0.01):\n", + " \"\"\"\n", + " If the proposed partition dominates the previous partition\n", + " with respect to a set of scalar metrics, we accept the proposal\n", + " with probability 1.\n", + " \n", + " Otherwise, we accept the proposal with probability ``p``.\n", + " \"\"\"\n", + " dominant = True\n", + " for metric in metrics:\n", + " if partition[metric] >= partition.parent[metric]:\n", + " dominant = False\n", + " break\n", + " return dominant or random() < p" + ] + }, + { + "cell_type": "code", + "execution_count": 70, + "metadata": {}, + "outputs": [], + "source": [ + "from functools import partial" + ] + }, + { + "cell_type": "code", + "execution_count": 87, + "metadata": {}, + "outputs": [], + "source": [ + "pareto = partial(pareto_driver, metrics=['cut_edges'])" + ] + }, + { + "cell_type": "code", + "execution_count": 88, + "metadata": {}, + "outputs": [], + "source": [ + "chain = MarkovChain(\n", + " proposal=proposal,\n", + " constraints=[\n", + " pop_constraint,\n", + " compactness_bound\n", + " ],\n", + " accept=pareto,\n", + " initial_state=initial_partition,\n", + " total_steps=1000\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 89, + "metadata": {}, + "outputs": [], + "source": [ + "num_elections = 2\n", + "\n", + "election_names = [\n", + " \"PRES12\",\n", + " \"PRES16\",\n", + "]\n", + "\n", + "election_columns = [\n", + " [\"PRES12D\", \"PRES12R\"],\n", + " [\"T16PRESD\", \"T16PRESR\"],\n", + "]\n", + "\n", + "elections = [\n", + " Election(\n", + " election_names[i],\n", + " {\"Democratic\": election_columns[i][0], \"Republican\": election_columns[i][1]},\n", + " )\n", + " for i in range(num_elections)\n", + "]\n", + "\n", + "election_updaters = {election.name: election for election in elections}\n", + "\n", + "my_updaters.update(election_updaters)" + ] + }, + { + "cell_type": "code", + "execution_count": 105, + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "e72264ab546246fca81cff08d79ef7c1", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "HBox(children=(IntProgress(value=0, max=1000), HTML(value='')))" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "data2 = pd.DataFrame(\n", + " sorted(partition[\"BLACK_POP\"].percents(\"BLACK_POP\"))\n", + " for partition in chain.with_progress_bar()\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 107, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(figsize=(15, 20))\n", + "\n", + "# Draw 50% line\n", + "ax.axhline(0.37, color=\"red\")\n", + "ax.axhline(0.55, color=\"red\")\n", + "\n", + "# Draw boxplot\n", + "data2.boxplot(ax=ax, positions=range(len(data2.columns)))\n", + "\n", + "# Draw initial plan's Democratic vote %s (.iloc[0] gives the first row)\n", + "#plt.plot(data.iloc[0], \"ro\")\n", + "\n", + "# Annotate\n", + "ax.set_title(\"Comparing the 2011 plan to an ensemble\")\n", + "ax.set_ylabel(\"black population %\")\n", + "ax.set_xlabel(\"Sorted districts\")\n", + "ax.set_ylim(0, 1)\n", + "ax.set_yticks([0, 0.25, 0.5, 0.75, 1])\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 109, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0, 0.5, 'black pop % dist 47')" + ] + }, + "execution_count": 109, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.scatter(data2[46], data2[47], alpha=0.1)\n", + "plt.xlabel(\"black pop % dist 46\")\n", + "plt.ylabel(\"black pop % dist 47\")" + ] + }, + { + "cell_type": "code", + "execution_count": 112, + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "23b6c3648039449b999e278a80d111af", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "HBox(children=(IntProgress(value=0, max=1000), HTML(value='')))" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "cut_edges=[]\n", + "for step in chain.with_progress_bar():\n", + " cut_edges.append(len(step[\"cut_edges\"]))" + ] + }, + { + "cell_type": "code", + "execution_count": 110, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ,\n", + " ]" + ] + }, + "execution_count": 110, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(cut_edges)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Testing the test acceptance function that move towards better abs(mean median gap) and percentage of cut edges" + ] + }, + { + "cell_type": "code", + "execution_count": 66, + "metadata": {}, + "outputs": [], + "source": [ + "def bvap_proposal(partition, pop_col, pop_target, epsilon, node_repeats):\n", + " bvap_dict = {partition[\"BVAPs\"].percents(\"Democratic\")[i]:i for i in range(num_dist)}\n", + " bvap_sort = sorted(list(partition[\"BVAPs\"].percents(\"Democratic\")))\n", + " dist_choice = bvap_dict[bvap_sort[87]]\n", + " dist_choice_nodes = []\n", + " for x in range(initial_partition.graph.number_of_nodes()):\n", + " if partition.assignment[x] == str(dist_choice):\n", + " dist_choice_nodes.append(x)\n", + " b_nodes = {x[0] for x in partition[\"cut_edges\"]}.union(\n", + " {x[1] for x in partition[\"cut_edges\"]})\n", + " node_poss = set(dist_choice_nodes).intersection(b_nodes)\n", + " node_choice = random.choice(list(node_poss))\n", + " neighbor_assignments = list(set([partition.assignment[neighbor] for neighbor in partition.graph.neighbors(node_choice)]))\n", + " neighbor_assignments.remove(partition.assignment[node_choice])\n", + " parts_to_merge = (int(partition.assignment[node_choice]), int(random.choice(neighbor_assignments)))\n", + " subgraph = partition.graph.subgraph(\n", + " partition.parts[str(parts_to_merge[0])] | partition.parts[str(parts_to_merge[1])]\n", + " )\n", + " flips = recursive_tree_part(\n", + " subgraph,\n", + " parts_to_merge,\n", + " pop_col=pop_col,\n", + " pop_target=pop_target,\n", + " epsilon=epsilon,\n", + " node_repeats=node_repeats,\n", + " )\n", + " return partition.flip(flips)" + ] + }, + { + "cell_type": "code", + "execution_count": 114, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "2" + ] + }, + "execution_count": 114, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "1+1" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.3" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/Pennsylvania/Pennsylvania version 3 - trying biased recom - BVAP.ipynb b/Pennsylvania/Pennsylvania version 3 - trying biased recom - BVAP.ipynb new file mode 100644 index 0000000..2fd6442 --- /dev/null +++ b/Pennsylvania/Pennsylvania version 3 - trying biased recom - BVAP.ipynb @@ -0,0 +1,6 @@ +{ + "cells": [], + "metadata": {}, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/Pennsylvania/Pennsylvania.ipynb b/Pennsylvania/Pennsylvania.ipynb new file mode 100644 index 0000000..1c7f2d3 --- /dev/null +++ b/Pennsylvania/Pennsylvania.ipynb @@ -0,0 +1,20623 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 121, + "metadata": {}, + "outputs": [], + "source": [ + "import csv\n", + "import os\n", + "from functools import partial\n", + "import json\n", + "import tqdm\n", + "\n", + "import geopandas as gpd\n", + "import pandas as pd\n", + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "\n", + "from gerrychain import (\n", + " Election,\n", + " Graph,\n", + " MarkovChain,\n", + " Partition,\n", + " accept,\n", + " constraints,\n", + " updaters,\n", + ")\n", + "plt.style.use('ggplot')\n", + "from gerrychain.metrics import efficiency_gap, mean_median\n", + "from gerrychain.proposals import recom\n", + "from gerrychain.updaters import cut_edges\n", + "from gerrychain.tree import recursive_tree_part\n", + "\n", + "newdir = \"./Outputs/\"\n", + "os.makedirs(os.path.dirname(newdir + \"init.txt\"), exist_ok=True)\n", + "with open(newdir + \"init.txt\", \"w\") as f:\n", + " f.write(\"Created Folder\")" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "unique_label = \"GEOID10\"\n", + "pop_col = \"TOT_POP\"\n", + "district_col = \"REMEDIAL_P\"\n", + "\n", + "graph_path = \"./PA_VTD/PA_VTD.shp\"\n", + "\n", + "graph = Graph.from_file(graph_path, reproject = False)\n", + "\n", + "graph.to_json(\"pa_json.json\")\n", + "\n", + "jgraph = Graph.from_json(\"pa_json.json\")" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "df = gpd.read_file(graph_path)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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STATEFP10COUNTYFP10VTDST10GEOID10VTDI10NAME10NAMELSAD10LSAD10MTFCC10FUNCSTAT10...F2014GOVR2011_PLA_1REMEDIAL_P538CPCT__1538DEM_PL538GOP_PL8THGRADE_1areaperimetergeometry
0420396042039060ACAMBRIDGE SPRINGS Voting DistrictCAMBRIDGE SPRINGS Voting District00G5240N...031403030315.825700e+0745771.53136POLYGON ((-80.11566499999999 41.762615, -80.11...
14203951042039510ATITUSVILLE WD 03TITUSVILLE WD 0300G5240N...95731403030319.689289e+0739695.64227POLYGON ((-79.64411699999999 41.617206, -79.64...
24203941042039410ASPARTANSBURG Voting DistrictSPARTANSBURG Voting District00G5240N...25631403030311.107861e+0843178.68028POLYGON ((-79.77053699999999 41.833582, -79.77...
34203910042039100ACONNEAUT LAKE Voting DistrictCONNEAUT LAKE Voting District00G5240N...69631403030316.599178e+0733666.16493POLYGON ((-80.393242 41.635537, -80.393221 41....
44203920042039200ALINESVILLE Voting DistrictLINESVILLE Voting District00G5240N...20831403030313.467810e+0728677.18146POLYGON ((-80.49727799999999 41.66668, -80.496...
54203943042039430ASPRINGBORO Voting DistrictSPRINGBORO Voting District00G5240N...25031403030311.206652e+0846756.30323POLYGON ((-80.405857 41.849619, -80.4055489999...
64203954042039540ATOWNVILLE Voting DistrictTOWNVILLE Voting District00G5240N...21531403030316.502989e+0739251.19781POLYGON ((-79.90250899999999 41.713213, -79.90...
74210911042109110AMIDDLEBURGMIDDLEBURG Voting DistrictV2G5240N...576101010101757.523266e+0738638.01569POLYGON ((-77.125596 40.80296, -77.12462599999...
8421098042109080AFreeburgFreeburg Voting DistrictV2G5240N...341101010101756.362305e+0733223.11338POLYGON ((-77.01855399999999 40.768456, -77.01...
9421093042109030ABEAVERTOWNBEAVERTOWN Voting DistrictV2G5240N...274101010101755.010558e+0728639.76935POLYGON ((-77.198669 40.773218, -77.1984279999...
104201378042013780AMARTINSBURG DIST 02MARTINSBURG DIST 0200G5240N...882911091009105.634322e+0730729.84652POLYGON ((-78.36262599999999 40.273373, -78.36...
114201382042013820AROARING SPRING PCT 02ROARING SPRING PCT 0200G5240N...850911091009106.268563e+0733755.49599POLYGON ((-78.43409199999999 40.303714, -78.43...
124201338042013380PALTOONA WD 13 PCT 02ALTOONA WD 13 PCT 0200G5240S...14691109100955.943523e+055510.96559POLYGON ((-78.39320099999999 40.532547, -78.39...
134201379042013790ANEWRY Voting DistrictNEWRY Voting District00G5240N...89791109100952.295743e+0723240.29124POLYGON ((-78.455164 40.406083, -78.454093 40....
144206359042063590ASHELOCTASHELOCTA Voting DistrictV2G5240N...47491309050966.347806e+0736625.91025POLYGON ((-79.34966899999999 40.633834, -79.34...
15420637042063070ABLAIRSVILLE VTD 01BLAIRSVILLE VTD 0100G5240N...824913090509134.614304e+0743435.58970POLYGON ((-79.30169099999999 40.451275, -79.30...
164206340042063400AHOMER CITY VTD 01HOMER CITY VTD 0100G5240N...48691309050963.289360e+0733268.84183POLYGON ((-79.201618 40.575111, -79.197265 40....
174206323042063230ACLYMER VTD 01CLYMER VTD 0100G5240N...29791309050964.405905e+0746262.51143POLYGON ((-79.088836 40.646954, -79.0886089999...
184206350042063500AMARION CENTERMARION CENTER Voting DistrictV2G5240N...30191309050568.334141e+0736697.39617POLYGON ((-79.10105299999999 40.839044, -79.10...
19420631042063010AARMAGHARMAGH Voting DistrictV2G5240N...242913090509134.620411e+0747338.75823(POLYGON ((-79.02763399999999 40.41498, -79.02...
204206332042063320AERNESTERNEST Voting DistrictV2G5240N...62291309050961.232466e+0848372.62341POLYGON ((-79.182187 40.672443, -79.181292 40....
214206356042063560APLUMVILLEPLUMVILLE Voting DistrictV2G5240N...29991309050567.549965e+0734992.00199POLYGON ((-79.206727 40.838382, -79.198983 40....
22420054042005040AATWOOD Voting DistrictATWOOD Voting District00G5240N...1991309050961.053519e+0849512.19868POLYGON ((-79.289586 40.697523, -79.2893629999...
234206360042063600ASMICKSBURGSMICKSBURG Voting DistrictV2G5240N...10191309050567.656716e+0735160.09501POLYGON ((-79.209801 40.911299, -79.207735 40....
24420731042073010ABESSEMERBESSEMER Voting DistrictV2G5240N...12031403031263.062853e+0728950.72927POLYGON ((-80.495588 40.936947, -80.495266 40....
254204714042047140AJOHNSONBURG DIST 01JOHNSONBURG DIST 0100G5240N...33651305050525.015237e+0738232.51278POLYGON ((-78.74893899999999 41.513616, -78.74...
264204724042047240ARIDGWAY WD 01RIDGWAY WD 0100G5240N...62051305050521.921733e+0875582.11759POLYGON ((-78.81437199999999 41.518199, -78.80...
274200937042009370AST. CLAIRSVILLE Voting DistrictST. CLAIRSVILLE Voting District00G5240N...602911091809108.865072e+0740795.03573(POLYGON ((-78.619781 40.11660699999999, -78.6...
284200931042009310ASAXTON Voting DistrictSAXTON Voting District00G5240N...297911091809106.993194e+0742228.00592POLYGON ((-78.3477 40.176348, -78.342186 40.18...
294200917042009170AHYNDMAN Voting DistrictHYNDMAN Voting District00G5240N...503911091809101.440705e+0861202.00333POLYGON ((-78.80766899999999 39.724224, -78.80...
..................................................................
8891420018042001080ACARROLL VALLEYCARROLL VALLEY Voting DistrictV2G5240N...315411040904107.538093e+0626764.39707POLYGON ((-77.39215 39.72783099999999, -77.391...
88924200138042001380AMT. JOY TWP VTD 01MT. JOY TWP VTD 0100G5240N...316411040904101.973947e+0723106.72191POLYGON ((-77.215001 39.815446, -77.215 39.815...
88934200120042001200AGERMANY TWPGERMANY TWP Voting DistrictV2G5240N...527411040904102.833718e+0735853.37805POLYGON ((-77.167092 39.719867, -77.166854 39....
88944200133042001330PLITTLESTOWN WD 01LITTLESTOWN WD 0100G5240S...355411040904101.948632e+067657.22255POLYGON ((-77.101066 39.742841, -77.09984 39.7...
88954200132042001320ALIBERTY TWPLIBERTY TWP Voting DistrictV2G5240N...253411040904104.215288e+0754142.85949(POLYGON ((-77.373183 39.750105, -77.373320999...
8896420012042001020AARENDTSVILLEARENDTSVILLE Voting DistrictV2G5240N...132411040904102.124549e+065953.32672POLYGON ((-77.30617099999999 39.930221, -77.30...
88974200143042001430AREADING TWP VTD 01READING TWP VTD 0100G5240N...615411040904102.613024e+0727423.15086POLYGON ((-77.06768599999999 39.977181, -77.06...
88984200143542001435AREADING TWP VTD 02READING TWP VTD 0200G5240N...388411040904104.329509e+0742604.18431POLYGON ((-77.097503 39.948936, -77.0970339999...
88994200115042001150AEAST BERLINEAST BERLIN Voting DistrictV2G5240N...273411040904101.884394e+065852.44183POLYGON ((-76.991021 39.942434, -76.990967 39....
89004200124042001240AGETTYSBURG WD 03 PCT 01GETTYSBURG WD 03 PCT 0100G5240N...210411040904101.429415e+065528.82444POLYGON ((-77.244438 39.828771, -77.2441269999...
89014200117042001170AFRANKLIN TWP VTD 01FRANKLIN TWP VTD 0100G5240N...461411040904106.245258e+0742137.76218POLYGON ((-77.467663 39.903652, -77.4671759999...
89024200128042001280AHIGHLAND TWPHIGHLAND TWP Voting DistrictV2G5240N...222411040904103.160086e+0724847.58314POLYGON ((-77.35681799999999 39.849623, -77.35...
89034200114042001140ACUMBERLAND TWP VTD 04CUMBERLAND TWP VTD 0400G5240N...202411040904101.665574e+0723876.32887POLYGON ((-77.29634799999999 39.814143, -77.29...
89044200119042001190AFREEDOM TWPFREEDOM TWP Voting DistrictV2G5240N...198411040904103.639269e+0732990.35187POLYGON ((-77.32236499999999 39.787084, -77.32...
89054200112042001120ACUMBERLAND TWP VTD 02CUMBERLAND TWP VTD 0200G5240N...324411040904104.083158e+0738575.25072POLYGON ((-77.281453 39.746508, -77.281347 39....
89064200138542001385AMT. JOY TWP VTD 02MT. JOY TWP VTD 0200G5240N...449411040904104.835659e+0738347.84407POLYGON ((-77.232541 39.75500299999999, -77.23...
89074200122042001220AGETTYSBURG WD 01 PCT 02GETTYSBURG WD 01 PCT 0200G5240N...178411040904101.385878e+065694.46672POLYGON ((-77.230379 39.839552, -77.22948 39.8...
89084200145042001450ASTRABAN TWP VTD 02STRABAN TWP VTD 0200G5240N...335411040904106.962482e+0740215.18614POLYGON ((-77.22822699999999 39.89190199999999...
89094200118042001180AFRANKLIN TWP VTD 02FRANKLIN TWP VTD 0200G5240N...424411040904101.153125e+0855082.44410POLYGON ((-77.471085 39.944077, -77.469324 39....
89104200113042001130ACUMBERLAND TWP VTD 03CUMBERLAND TWP VTD 0300G5240N...516411040904101.612706e+0716898.98121POLYGON ((-77.296162 39.843399, -77.296064 39....
89114200111042001110ACUMBERLAND TWP VTD 01CUMBERLAND TWP VTD 0100G5240N...397411040904101.363267e+0718281.67372POLYGON ((-77.271694 39.868008, -77.266487 39....
89124200123042001230AGETTYSBURG WD 02GETTYSBURG WD 0200G5240N...120411040904101.510229e+066177.98514POLYGON ((-77.24600000000001 39.83528099999999...
8913420019042001090ACONEWAGO TWP VTD 01CONEWAGO TWP VTD 0100G5240N...490411040904103.587456e+069250.08581POLYGON ((-77.02620499999999 39.797141, -77.02...
89144200142542001425AOXFORD TWP DIST 01OXFORD TWP DIST 0100G5240N...345411040904101.936123e+0723337.78710POLYGON ((-77.079579 39.838268, -77.0792879999...
89154200140042001400AMT. PLEASANT TWP VTD 02MT. PLEASANT TWP VTD 0200G5240N...259411040904102.842360e+0738061.38574POLYGON ((-77.129397 39.857005, -77.12911 39.8...
89164200110042001100ACONEWAGO TWP VTD 02CONEWAGO TWP VTD 0200G5240N...675411040904102.363041e+0730739.24057POLYGON ((-77.057169 39.795501, -77.0570309999...
89174200148042001480AUNION TWPUNION TWP Voting DistrictV2G5240N...589411040904104.563279e+0732359.74640POLYGON ((-77.09980899999999 39.775428, -77.09...
89184200126042001260AHAMILTON TWPHAMILTON TWP Voting DistrictV2G5240N...490411040904103.543830e+0736863.04152POLYGON ((-77.074522 39.89296, -77.073804 39.8...
8919420011042001010AABBOTTSTOWNABBOTTSTOWN Voting DistrictV2G5240N...124411040904101.439514e+065619.25953POLYGON ((-76.99631699999999 39.886132, -76.99...
8920420014042001040ABERWICK TWPBERWICK TWP Voting DistrictV2G5240N...389411040904102.010254e+0723878.48976(POLYGON ((-76.995575 39.886769, -76.992791999...
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8921 rows × 51 columns

\n", + "
" + ], + "text/plain": [ + " STATEFP10 COUNTYFP10 VTDST10 GEOID10 VTDI10 \\\n", + "0 42 039 60 42039060 A \n", + "1 42 039 510 42039510 A \n", + "2 42 039 410 42039410 A \n", + "3 42 039 100 42039100 A \n", + "4 42 039 200 42039200 A \n", + "5 42 039 430 42039430 A \n", + "6 42 039 540 42039540 A \n", + "7 42 109 110 42109110 A \n", + "8 42 109 80 42109080 A \n", + "9 42 109 30 42109030 A \n", + "10 42 013 780 42013780 A \n", + "11 42 013 820 42013820 A \n", + "12 42 013 380 42013380 P \n", + "13 42 013 790 42013790 A \n", + "14 42 063 590 42063590 A \n", + "15 42 063 70 42063070 A \n", + "16 42 063 400 42063400 A \n", + "17 42 063 230 42063230 A \n", + "18 42 063 500 42063500 A \n", + "19 42 063 10 42063010 A \n", + "20 42 063 320 42063320 A \n", + "21 42 063 560 42063560 A \n", + "22 42 005 40 42005040 A \n", + "23 42 063 600 42063600 A \n", + "24 42 073 10 42073010 A \n", + "25 42 047 140 42047140 A \n", + "26 42 047 240 42047240 A \n", + "27 42 009 370 42009370 A \n", + "28 42 009 310 42009310 A \n", + "29 42 009 170 42009170 A \n", + "... ... ... ... ... ... \n", + "8891 42 001 80 42001080 A \n", + "8892 42 001 380 42001380 A \n", + "8893 42 001 200 42001200 A \n", + "8894 42 001 330 42001330 P \n", + "8895 42 001 320 42001320 A \n", + "8896 42 001 20 42001020 A \n", + "8897 42 001 430 42001430 A \n", + "8898 42 001 435 42001435 A \n", + "8899 42 001 150 42001150 A \n", + "8900 42 001 240 42001240 A \n", + "8901 42 001 170 42001170 A \n", + "8902 42 001 280 42001280 A \n", + "8903 42 001 140 42001140 A \n", + "8904 42 001 190 42001190 A \n", + "8905 42 001 120 42001120 A \n", + "8906 42 001 385 42001385 A \n", + "8907 42 001 220 42001220 A \n", + "8908 42 001 450 42001450 A \n", + "8909 42 001 180 42001180 A \n", + "8910 42 001 130 42001130 A \n", + "8911 42 001 110 42001110 A \n", + "8912 42 001 230 42001230 A \n", + "8913 42 001 90 42001090 A \n", + "8914 42 001 425 42001425 A \n", + "8915 42 001 400 42001400 A \n", + "8916 42 001 100 42001100 A \n", + "8917 42 001 480 42001480 A \n", + "8918 42 001 260 42001260 A \n", + "8919 42 001 10 42001010 A \n", + "8920 42 001 40 42001040 A \n", + "\n", + " NAME10 NAMELSAD10 \\\n", + "0 CAMBRIDGE SPRINGS Voting District CAMBRIDGE SPRINGS Voting District \n", + "1 TITUSVILLE WD 03 TITUSVILLE WD 03 \n", + "2 SPARTANSBURG Voting District SPARTANSBURG Voting District \n", + "3 CONNEAUT LAKE Voting District CONNEAUT LAKE Voting District \n", + "4 LINESVILLE Voting District LINESVILLE Voting District \n", + "5 SPRINGBORO Voting District SPRINGBORO Voting District \n", + "6 TOWNVILLE Voting District TOWNVILLE Voting District \n", + "7 MIDDLEBURG MIDDLEBURG Voting District \n", + "8 Freeburg Freeburg Voting District \n", + "9 BEAVERTOWN BEAVERTOWN Voting District \n", + "10 MARTINSBURG DIST 02 MARTINSBURG DIST 02 \n", + "11 ROARING SPRING PCT 02 ROARING SPRING PCT 02 \n", + "12 ALTOONA WD 13 PCT 02 ALTOONA WD 13 PCT 02 \n", + "13 NEWRY Voting District NEWRY Voting District \n", + "14 SHELOCTA SHELOCTA Voting District \n", + "15 BLAIRSVILLE VTD 01 BLAIRSVILLE VTD 01 \n", + "16 HOMER CITY VTD 01 HOMER CITY VTD 01 \n", + "17 CLYMER VTD 01 CLYMER VTD 01 \n", + "18 MARION CENTER MARION CENTER Voting District \n", + "19 ARMAGH ARMAGH Voting District \n", + "20 ERNEST ERNEST Voting District \n", + "21 PLUMVILLE PLUMVILLE Voting District \n", + "22 ATWOOD Voting District ATWOOD Voting District \n", + "23 SMICKSBURG SMICKSBURG Voting District \n", + "24 BESSEMER BESSEMER Voting District \n", + "25 JOHNSONBURG DIST 01 JOHNSONBURG DIST 01 \n", + "26 RIDGWAY WD 01 RIDGWAY WD 01 \n", + "27 ST. CLAIRSVILLE Voting District ST. CLAIRSVILLE Voting District \n", + "28 SAXTON Voting District SAXTON Voting District \n", + "29 HYNDMAN Voting District HYNDMAN Voting District \n", + "... ... ... \n", + "8891 CARROLL VALLEY CARROLL VALLEY Voting District \n", + "8892 MT. JOY TWP VTD 01 MT. JOY TWP VTD 01 \n", + "8893 GERMANY TWP GERMANY TWP Voting District \n", + "8894 LITTLESTOWN WD 01 LITTLESTOWN WD 01 \n", + "8895 LIBERTY TWP LIBERTY TWP Voting District \n", + "8896 ARENDTSVILLE ARENDTSVILLE Voting District \n", + "8897 READING TWP VTD 01 READING TWP VTD 01 \n", + "8898 READING TWP VTD 02 READING TWP VTD 02 \n", + "8899 EAST BERLIN EAST BERLIN Voting District \n", + "8900 GETTYSBURG WD 03 PCT 01 GETTYSBURG WD 03 PCT 01 \n", + "8901 FRANKLIN TWP VTD 01 FRANKLIN TWP VTD 01 \n", + "8902 HIGHLAND TWP HIGHLAND TWP Voting District \n", + "8903 CUMBERLAND TWP VTD 04 CUMBERLAND TWP VTD 04 \n", + "8904 FREEDOM TWP FREEDOM TWP Voting District \n", + "8905 CUMBERLAND TWP VTD 02 CUMBERLAND TWP VTD 02 \n", + "8906 MT. JOY TWP VTD 02 MT. JOY TWP VTD 02 \n", + "8907 GETTYSBURG WD 01 PCT 02 GETTYSBURG WD 01 PCT 02 \n", + "8908 STRABAN TWP VTD 02 STRABAN TWP VTD 02 \n", + "8909 FRANKLIN TWP VTD 02 FRANKLIN TWP VTD 02 \n", + "8910 CUMBERLAND TWP VTD 03 CUMBERLAND TWP VTD 03 \n", + "8911 CUMBERLAND TWP VTD 01 CUMBERLAND TWP VTD 01 \n", + "8912 GETTYSBURG WD 02 GETTYSBURG WD 02 \n", + "8913 CONEWAGO TWP VTD 01 CONEWAGO TWP VTD 01 \n", + "8914 OXFORD TWP DIST 01 OXFORD TWP DIST 01 \n", + "8915 MT. PLEASANT TWP VTD 02 MT. PLEASANT TWP VTD 02 \n", + "8916 CONEWAGO TWP VTD 02 CONEWAGO TWP VTD 02 \n", + "8917 UNION TWP UNION TWP Voting District \n", + "8918 HAMILTON TWP HAMILTON TWP Voting District \n", + "8919 ABBOTTSTOWN ABBOTTSTOWN Voting District \n", + "8920 BERWICK TWP BERWICK TWP Voting District \n", + "\n", + " LSAD10 MTFCC10 FUNCSTAT10 ... F2014GOVR 2011_PLA_1 REMEDIAL_P \\\n", + "0 00 G5240 N ... 0 3 14 \n", + "1 00 G5240 N ... 957 3 14 \n", + "2 00 G5240 N ... 256 3 14 \n", + "3 00 G5240 N ... 696 3 14 \n", + "4 00 G5240 N ... 208 3 14 \n", + "5 00 G5240 N ... 250 3 14 \n", + "6 00 G5240 N ... 215 3 14 \n", + "7 V2 G5240 N ... 576 10 10 \n", + "8 V2 G5240 N ... 341 10 10 \n", + "9 V2 G5240 N ... 274 10 10 \n", + "10 00 G5240 N ... 882 9 11 \n", + "11 00 G5240 N ... 850 9 11 \n", + "12 00 G5240 S ... 146 9 11 \n", + "13 00 G5240 N ... 897 9 11 \n", + "14 V2 G5240 N ... 474 9 13 \n", + "15 00 G5240 N ... 824 9 13 \n", + "16 00 G5240 N ... 486 9 13 \n", + "17 00 G5240 N ... 297 9 13 \n", + "18 V2 G5240 N ... 301 9 13 \n", + "19 V2 G5240 N ... 242 9 13 \n", + "20 V2 G5240 N ... 622 9 13 \n", + "21 V2 G5240 N ... 299 9 13 \n", + "22 00 G5240 N ... 19 9 13 \n", + "23 V2 G5240 N ... 101 9 13 \n", + "24 V2 G5240 N ... 120 3 14 \n", + "25 00 G5240 N ... 336 5 13 \n", + "26 00 G5240 N ... 620 5 13 \n", + "27 00 G5240 N ... 602 9 11 \n", + "28 00 G5240 N ... 297 9 11 \n", + "29 00 G5240 N ... 503 9 11 \n", + "... ... ... ... ... ... ... ... \n", + "8891 V2 G5240 N ... 315 4 11 \n", + "8892 00 G5240 N ... 316 4 11 \n", + "8893 V2 G5240 N ... 527 4 11 \n", + "8894 00 G5240 S ... 355 4 11 \n", + "8895 V2 G5240 N ... 253 4 11 \n", + "8896 V2 G5240 N ... 132 4 11 \n", + "8897 00 G5240 N ... 615 4 11 \n", + "8898 00 G5240 N ... 388 4 11 \n", + "8899 V2 G5240 N ... 273 4 11 \n", + "8900 00 G5240 N ... 210 4 11 \n", + "8901 00 G5240 N ... 461 4 11 \n", + "8902 V2 G5240 N ... 222 4 11 \n", + "8903 00 G5240 N ... 202 4 11 \n", + "8904 V2 G5240 N ... 198 4 11 \n", + "8905 00 G5240 N ... 324 4 11 \n", + "8906 00 G5240 N ... 449 4 11 \n", + "8907 00 G5240 N ... 178 4 11 \n", + "8908 00 G5240 N ... 335 4 11 \n", + "8909 00 G5240 N ... 424 4 11 \n", + "8910 00 G5240 N ... 516 4 11 \n", + "8911 00 G5240 N ... 397 4 11 \n", + "8912 00 G5240 N ... 120 4 11 \n", + "8913 00 G5240 N ... 490 4 11 \n", + "8914 00 G5240 N ... 345 4 11 \n", + "8915 00 G5240 N ... 259 4 11 \n", + "8916 00 G5240 N ... 675 4 11 \n", + "8917 V2 G5240 N ... 589 4 11 \n", + "8918 V2 G5240 N ... 490 4 11 \n", + "8919 V2 G5240 N ... 124 4 11 \n", + "8920 V2 G5240 N ... 389 4 11 \n", + "\n", + " 538CPCT__1 538DEM_PL 538GOP_PL 8THGRADE_1 area perimeter \\\n", + "0 03 03 03 1 5.825700e+07 45771.53136 \n", + "1 03 03 03 1 9.689289e+07 39695.64227 \n", + "2 03 03 03 1 1.107861e+08 43178.68028 \n", + "3 03 03 03 1 6.599178e+07 33666.16493 \n", + "4 03 03 03 1 3.467810e+07 28677.18146 \n", + "5 03 03 03 1 1.206652e+08 46756.30323 \n", + "6 03 03 03 1 6.502989e+07 39251.19781 \n", + "7 10 10 17 5 7.523266e+07 38638.01569 \n", + "8 10 10 17 5 6.362305e+07 33223.11338 \n", + "9 10 10 17 5 5.010558e+07 28639.76935 \n", + "10 09 10 09 10 5.634322e+07 30729.84652 \n", + "11 09 10 09 10 6.268563e+07 33755.49599 \n", + "12 09 10 09 5 5.943523e+05 5510.96559 \n", + "13 09 10 09 5 2.295743e+07 23240.29124 \n", + "14 09 05 09 6 6.347806e+07 36625.91025 \n", + "15 09 05 09 13 4.614304e+07 43435.58970 \n", + "16 09 05 09 6 3.289360e+07 33268.84183 \n", + "17 09 05 09 6 4.405905e+07 46262.51143 \n", + "18 09 05 05 6 8.334141e+07 36697.39617 \n", + "19 09 05 09 13 4.620411e+07 47338.75823 \n", + "20 09 05 09 6 1.232466e+08 48372.62341 \n", + "21 09 05 05 6 7.549965e+07 34992.00199 \n", + "22 09 05 09 6 1.053519e+08 49512.19868 \n", + "23 09 05 05 6 7.656716e+07 35160.09501 \n", + "24 03 03 12 6 3.062853e+07 28950.72927 \n", + "25 05 05 05 2 5.015237e+07 38232.51278 \n", + "26 05 05 05 2 1.921733e+08 75582.11759 \n", + "27 09 18 09 10 8.865072e+07 40795.03573 \n", + "28 09 18 09 10 6.993194e+07 42228.00592 \n", + "29 09 18 09 10 1.440705e+08 61202.00333 \n", + "... ... ... ... ... ... ... \n", + "8891 04 09 04 10 7.538093e+06 26764.39707 \n", + "8892 04 09 04 10 1.973947e+07 23106.72191 \n", + "8893 04 09 04 10 2.833718e+07 35853.37805 \n", + "8894 04 09 04 10 1.948632e+06 7657.22255 \n", + "8895 04 09 04 10 4.215288e+07 54142.85949 \n", + "8896 04 09 04 10 2.124549e+06 5953.32672 \n", + "8897 04 09 04 10 2.613024e+07 27423.15086 \n", + "8898 04 09 04 10 4.329509e+07 42604.18431 \n", + "8899 04 09 04 10 1.884394e+06 5852.44183 \n", + "8900 04 09 04 10 1.429415e+06 5528.82444 \n", + "8901 04 09 04 10 6.245258e+07 42137.76218 \n", + "8902 04 09 04 10 3.160086e+07 24847.58314 \n", + "8903 04 09 04 10 1.665574e+07 23876.32887 \n", + "8904 04 09 04 10 3.639269e+07 32990.35187 \n", + "8905 04 09 04 10 4.083158e+07 38575.25072 \n", + "8906 04 09 04 10 4.835659e+07 38347.84407 \n", + "8907 04 09 04 10 1.385878e+06 5694.46672 \n", + "8908 04 09 04 10 6.962482e+07 40215.18614 \n", + "8909 04 09 04 10 1.153125e+08 55082.44410 \n", + "8910 04 09 04 10 1.612706e+07 16898.98121 \n", + "8911 04 09 04 10 1.363267e+07 18281.67372 \n", + "8912 04 09 04 10 1.510229e+06 6177.98514 \n", + "8913 04 09 04 10 3.587456e+06 9250.08581 \n", + "8914 04 09 04 10 1.936123e+07 23337.78710 \n", + "8915 04 09 04 10 2.842360e+07 38061.38574 \n", + "8916 04 09 04 10 2.363041e+07 30739.24057 \n", + "8917 04 09 04 10 4.563279e+07 32359.74640 \n", + "8918 04 09 04 10 3.543830e+07 36863.04152 \n", + "8919 04 09 04 10 1.439514e+06 5619.25953 \n", + "8920 04 09 04 10 2.010254e+07 23878.48976 \n", + "\n", + " geometry \n", + "0 POLYGON ((-80.11566499999999 41.762615, -80.11... \n", + "1 POLYGON ((-79.64411699999999 41.617206, -79.64... \n", + "2 POLYGON ((-79.77053699999999 41.833582, -79.77... \n", + "3 POLYGON ((-80.393242 41.635537, -80.393221 41.... \n", + "4 POLYGON ((-80.49727799999999 41.66668, -80.496... \n", + "5 POLYGON ((-80.405857 41.849619, -80.4055489999... \n", + "6 POLYGON ((-79.90250899999999 41.713213, -79.90... \n", + "7 POLYGON ((-77.125596 40.80296, -77.12462599999... \n", + "8 POLYGON ((-77.01855399999999 40.768456, -77.01... \n", + "9 POLYGON ((-77.198669 40.773218, -77.1984279999... \n", + "10 POLYGON ((-78.36262599999999 40.273373, -78.36... \n", + "11 POLYGON ((-78.43409199999999 40.303714, -78.43... \n", + "12 POLYGON ((-78.39320099999999 40.532547, -78.39... \n", + "13 POLYGON ((-78.455164 40.406083, -78.454093 40.... \n", + "14 POLYGON ((-79.34966899999999 40.633834, -79.34... \n", + "15 POLYGON ((-79.30169099999999 40.451275, -79.30... \n", + "16 POLYGON ((-79.201618 40.575111, -79.197265 40.... \n", + "17 POLYGON ((-79.088836 40.646954, -79.0886089999... \n", + "18 POLYGON ((-79.10105299999999 40.839044, -79.10... \n", + "19 (POLYGON ((-79.02763399999999 40.41498, -79.02... \n", + "20 POLYGON ((-79.182187 40.672443, -79.181292 40.... \n", + "21 POLYGON ((-79.206727 40.838382, -79.198983 40.... \n", + "22 POLYGON ((-79.289586 40.697523, -79.2893629999... \n", + "23 POLYGON ((-79.209801 40.911299, -79.207735 40.... \n", + "24 POLYGON ((-80.495588 40.936947, -80.495266 40.... \n", + "25 POLYGON ((-78.74893899999999 41.513616, -78.74... \n", + "26 POLYGON ((-78.81437199999999 41.518199, -78.80... \n", + "27 (POLYGON ((-78.619781 40.11660699999999, -78.6... \n", + "28 POLYGON ((-78.3477 40.176348, -78.342186 40.18... \n", + "29 POLYGON ((-78.80766899999999 39.724224, -78.80... \n", + "... ... \n", + "8891 POLYGON ((-77.39215 39.72783099999999, -77.391... \n", + "8892 POLYGON ((-77.215001 39.815446, -77.215 39.815... \n", + "8893 POLYGON ((-77.167092 39.719867, -77.166854 39.... \n", + "8894 POLYGON ((-77.101066 39.742841, -77.09984 39.7... \n", + "8895 (POLYGON ((-77.373183 39.750105, -77.373320999... \n", + "8896 POLYGON ((-77.30617099999999 39.930221, -77.30... \n", + "8897 POLYGON ((-77.06768599999999 39.977181, -77.06... \n", + "8898 POLYGON ((-77.097503 39.948936, -77.0970339999... \n", + "8899 POLYGON ((-76.991021 39.942434, -76.990967 39.... \n", + "8900 POLYGON ((-77.244438 39.828771, -77.2441269999... \n", + "8901 POLYGON ((-77.467663 39.903652, -77.4671759999... \n", + "8902 POLYGON ((-77.35681799999999 39.849623, -77.35... \n", + "8903 POLYGON ((-77.29634799999999 39.814143, -77.29... \n", + "8904 POLYGON ((-77.32236499999999 39.787084, -77.32... \n", + "8905 POLYGON ((-77.281453 39.746508, -77.281347 39.... \n", + "8906 POLYGON ((-77.232541 39.75500299999999, -77.23... \n", + "8907 POLYGON ((-77.230379 39.839552, -77.22948 39.8... \n", + "8908 POLYGON ((-77.22822699999999 39.89190199999999... \n", + "8909 POLYGON ((-77.471085 39.944077, -77.469324 39.... \n", + "8910 POLYGON ((-77.296162 39.843399, -77.296064 39.... \n", + "8911 POLYGON ((-77.271694 39.868008, -77.266487 39.... \n", + "8912 POLYGON ((-77.24600000000001 39.83528099999999... \n", + "8913 POLYGON ((-77.02620499999999 39.797141, -77.02... \n", + "8914 POLYGON ((-77.079579 39.838268, -77.0792879999... \n", + "8915 POLYGON ((-77.129397 39.857005, -77.12911 39.8... \n", + "8916 POLYGON ((-77.057169 39.795501, -77.0570309999... \n", + "8917 POLYGON ((-77.09980899999999 39.775428, -77.09... \n", + "8918 POLYGON ((-77.074522 39.89296, -77.073804 39.8... \n", + "8919 POLYGON ((-76.99631699999999 39.886132, -76.99... \n", + "8920 (POLYGON ((-76.995575 39.886769, -76.992791999... \n", + "\n", + "[8921 rows x 51 columns]" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "['STATEFP10',\n", + " 'COUNTYFP10',\n", + " 'VTDST10',\n", + " 'GEOID10',\n", + " 'VTDI10',\n", + " 'NAME10',\n", + " 'NAMELSAD10',\n", + " 'LSAD10',\n", + " 'MTFCC10',\n", + " 'FUNCSTAT10',\n", + " 'ALAND10',\n", + " 'AWATER10',\n", + " 'INTPTLAT10',\n", + " 'INTPTLON10',\n", + " 'ATG12D',\n", + " 'ATG12R',\n", + " 'GOV10D',\n", + " 'GOV10R',\n", + " 'PRES12D',\n", + " 'PRES12O',\n", + " 'PRES12R',\n", + " 'SEN10D',\n", + " 'SEN10R',\n", + " 'T16ATGD',\n", + " 'T16ATGR',\n", + " 'T16PRESD',\n", + " 'T16PRESOTH',\n", + " 'T16PRESR',\n", + " 'T16SEND',\n", + " 'T16SENR',\n", + " 'USS12D',\n", + " 'USS12R',\n", + " 'GOV',\n", + " 'TS',\n", + " 'HISP_POP',\n", + " 'TOT_POP',\n", + " 'WHITE_POP',\n", + " 'BLACK_POP',\n", + " 'NATIVE_POP',\n", + " 'ASIAN_POP',\n", + " 'F2014GOVD',\n", + " 'F2014GOVR',\n", + " '2011_PLA_1',\n", + " 'REMEDIAL_P',\n", + " '538CPCT__1',\n", + " '538DEM_PL',\n", + " '538GOP_PL',\n", + " '8THGRADE_1',\n", + " 'area',\n", + " 'perimeter',\n", + " 'geometry']" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "list(df.columns.values)" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "def num_splits(partition): # counting how many times a split is done to a county/block group/precinct because we don't want the split to be done to the country/block group/precinct\n", + " df[\"current\"] = df[unique_label].map(dict(partition.assignment))\n", + " splits = sum(df.groupby(\"REMEDIAL_P\")[\"current\"].nunique() > 1)\n", + " return splits\n", + "\n", + "def avg_pop_dist(partition): # calculating average population deviation for each plan\n", + " ideal_population = sum(partition[\"population\"].values()) / len(\n", + " partition\n", + ")\n", + " total_deviation = sum([abs(v - ideal_population) for v in partition['population'].values()])\n", + " return (total_deviation)/len(partition)" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [], + "source": [ + "def pop_dist_pct(partition): # calculating percentage population deviation for each plan\n", + " ideal_population = ideal_population = sum(partition[\"population\"].values()) / len(\n", + " partition)\n", + " total_deviation = total_deviation = sum([abs(v - ideal_population) for v in partition['population'].values()])\n", + " avg_dist = total_deviation/len(partition)\n", + " return avg_dist/ideal_population" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [], + "source": [ + "my_updaters = {\n", + " \"cut_edges\": cut_edges,\n", + " \"population\": updaters.Tally(\"TOT_POP\", alias = \"population\"),\n", + " \"avg_pop_dist\": avg_pop_dist,\n", + " \"pop_dist_pct\" : pop_dist_pct,\n", + " \"area_land\": updaters.Tally(\"ALAND10\", alias = \"area_land\"),\n", + " \"area_water\": updaters.Tally(\"AWATER10\", alias = \"area_water\"),\n", + " \"Perimeter\": updaters.Tally(\"perimeter\", alias = \"Perimeter\"),\n", + " \"Area\": updaters.Tally(\"area\", alias = \"Area\"),\n", + " \"black_pop\": updaters.Tally(\"BLACK_POP\", alias=\"black_pop\"),\n", + " \"hisp_pop\": updaters.Tally(\"HISP_POP\", alias=\"hisp_pop\")\n", + "}" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [], + "source": [ + "num_elections = 2\n", + "\n", + "election_names = [\n", + " \"PRES12\",\n", + " \"PRES16\",\n", + "]\n", + "\n", + "election_columns = [\n", + " [\"PRES12D\", \"PRES12R\"],\n", + " [\"T16PRESD\", \"T16PRESR\"],\n", + "]\n", + "\n", + "elections = [\n", + " Election(\n", + " election_names[i],\n", + " {\"Democratic\": election_columns[i][0], \"Republican\": election_columns[i][1]},\n", + " )\n", + " for i in range(num_elections)\n", + "]" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [], + "source": [ + "election_updaters = {election.name: election for election in elections}\n", + "\n", + "my_updaters.update(election_updaters)\n", + "\n", + "num_dist = 18\n", + "\n", + "initial_partition = Partition(jgraph, \"REMEDIAL_P\", my_updaters) # by typing in \"CD,\" we are saying to put every county into the congressional district that they belong to\n", + "\n", + "ideal_population = ideal_population = sum(initial_partition[\"population\"].values()) / len(\n", + " initial_partition\n", + ")\n", + "\n", + "proposal = partial(\n", + " recom, pop_col=\"TOT_POP\", pop_target=ideal_population, epsilon=0.02, node_repeats=2\n", + ")\n", + "\n", + "compactness_bound = constraints.UpperBound(\n", + " lambda p: len(p[\"cut_edges\"]), 2 * len(initial_partition[\"cut_edges\"])\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [], + "source": [ + "chain = MarkovChain(\n", + " proposal=proposal,\n", + " constraints=[\n", + " constraints.within_percent_of_ideal_population(initial_partition, 0.02),\n", + " compactness_bound, # single_flip_contiguous#no_more_discontiguous\n", + " ],\n", + " accept=accept.always_accept,\n", + " initial_state=initial_partition,\n", + " total_steps=1000,\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "4aab92d3c7064d8a8dc5bc17fccaeba7", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "HBox(children=(IntProgress(value=0, max=1000), HTML(value='')))" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "pop_vec = []\n", + "cut_vec = []\n", + "mms_vec = []\n", + "egs_vec = []\n", + "pop_dist_vec = []\n", + "pop_pct_vec = []\n", + "splits = []\n", + "votes = [[],[],[]]\n", + "area_water = []\n", + "area_land=[]\n", + "pp_score=[]\n", + "area=[]\n", + "perimeter=[]\n", + "pp_score=[]\n", + "Area=[]\n", + "Perimeter=[]\n", + "B_pop=[]\n", + "H_pop=[]\n", + "pop=[]\n", + "\n", + "t=0\n", + "for part in chain.with_progress_bar():\n", + " splits.append(num_splits(part))\n", + " \n", + "\n", + " pop_dist_vec.append(avg_pop_dist(part))\n", + " pop.append((list(part[\"population\"].values())))\n", + " cut_vec.append(len(part[\"cut_edges\"]))\n", + " area_water.append(part[\"area_water\"])\n", + " area_land.append(part[\"area_land\"])\n", + " mms_vec.append([])\n", + " egs_vec.append([])\n", + " pop_pct_vec.append(pop_dist_pct(part))\n", + " Area.append(part[\"Area\"])\n", + " Perimeter.append(part[\"Perimeter\"])\n", + " area.append(list(part[\"Area\"].values()))\n", + " perimeter.append(list(part[\"Perimeter\"].values()))\n", + " B_pop.append((list(part[\"black_pop\"].values())))\n", + " H_pop.append((list(part[\"hisp_pop\"].values())))\n", + " \n", + " \n", + " \n", + " \n", + "\n", + " for elect in range(num_elections):\n", + " votes[elect].append(sorted(part[election_names[elect]].percents(\"Democratic\")))\n", + " mms_vec[-1].append(mean_median(part[election_names[elect]]))\n", + " egs_vec[-1].append(efficiency_gap(part[election_names[elect]]))\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[defaultdict(int,\n", + " {14: 8709991853.736795,\n", + " 10: 25949589610.309307,\n", + " 11: 15736556398.43301,\n", + " 13: 25476424020.35249,\n", + " 18: 8640249014.568693,\n", + " 4: 1243808443.3134015,\n", + " 1: 1707869359.878601,\n", + " 9: 4014694669.987962,\n", + " 8: 2890347295.505798,\n", + " 12: 7441305456.781493,\n", + " 17: 7095273080.604998,\n", + " 7: 2253327702.237001,\n", + " 5: 575465595.0048405,\n", + " 15: 2331507195.2392683,\n", + " 6: 2396889468.4325,\n", + " 2: 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig=plt.figure(figsize=(7,7))\n", + "plt.scatter(pop_pct_vec, cut_vec)\n", + "plt.title(\"Pennsylvania 1000 %pop_dist vs #cut_edges\",fontsize=12)\n", + "plt.xlabel(\"%pop deviation from ideal\", fontsize=12)\n", + "plt.ylabel(\"#cut edges\", fontsize=12)\n", + "plt.yticks(fontsize =12)\n", + "plt.xticks(fontsize =12)\n", + "fig.savefig('PA_cut_edges_pop_deviation.png',dpi=300, bbox_inches='tight')" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": {}, + "outputs": [], + "source": [ + "new_list_area=[]\n", + "for i in range(1000):\n", + " new_list_area.append([item * (4*np.pi) for item in area[i]])" + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": {}, + "outputs": [], + "source": [ + "new_list_perimeter=[]\n", + "for i in range(1000):\n", + " new_list_perimeter.append([item**2 for item in perimeter[i]])" + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "metadata": {}, + "outputs": [], + "source": [ + "pp_score=[]\n", + "for i in range(1000):\n", + " pp_score.append([x/y for x,y in zip(new_list_area[i],new_list_perimeter[i])])" + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "metadata": {}, + "outputs": [], + "source": [ + "sum_pp_score=[]\n", + "for i in range(1000):\n", + " sum_pp_score.append(sum(item for item in pp_score[i]))" + ] + }, + { + "cell_type": "code", + "execution_count": 45, + "metadata": {}, + "outputs": [], + "source": [ + "average_pp_score=[]\n", + "for i in range(1000):\n", + " average_pp_score.append(sum_pp_score[i]/18)" + ] + }, + { + "cell_type": "code", + "execution_count": 123, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig=plt.figure(figsize=(7,7))\n", + "plt.scatter(sum_pp_score, cut_vec)\n", + "plt.title(\"PA 1000 sum of pp score vs #cut_edges\",fontsize=12)\n", + "plt.xlabel(\"sum of polsby popper score\",fontsize=12)\n", + "plt.ylabel(\"#cut edges\",fontsize=12)\n", + "plt.yticks(fontsize =12)\n", + "plt.xticks(fontsize =12)\n", + "fig.savefig('PA_sum_pp_score_cut_edges.png',dpi=300, bbox_inches='tight')" + ] + }, + { + "cell_type": "code", + "execution_count": 113, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig=plt.figure(figsize=(7,7))\n", + "plt.scatter(sum_pp_score, pop_pct_vec)\n", + "plt.title(\"PA 1000 %pop deviation vs sum of pp score\",fontsize=10)\n", + "plt.xlabel(\"sum polsby popper score\",fontsize=10)\n", + "plt.ylabel(\" % pop deviation from ideal\",fontsize=10)\n", + "plt.yticks(fontsize =10)\n", + "plt.xticks(fontsize =10)\n", + "plt.xlim(0.0275,0.035)\n", + "plt.ylim(0,0.015)\n", + "fig.savefig('PA_sum_pp_pop_deviation.png')" + ] + }, + { + "cell_type": "code", + "execution_count": 66, + "metadata": {}, + "outputs": [], + "source": [ + "MM_pres12=[]\n", + "for i in range(1000):\n", + " MM_pres12.append(abs(mms_vec[i][0]))" + ] + }, + { + "cell_type": "code", + "execution_count": 67, + "metadata": {}, + "outputs": [], + "source": [ + "EG_pres12=[]\n", + "for i in range(1000):\n", + " EG_pres12.append(abs(egs_vec[i][0]))" + ] + }, + { + "cell_type": "code", + "execution_count": 73, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0, 0.5, 'abs mean median gaps for election 12')" + ] + }, + "execution_count": 73, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(15,15))\n", + "plt.scatter(pop_pct_vec, MM_pres12)\n", + "plt.yticks(fontsize =27)\n", + "plt.xticks(fontsize =20)\n", + "\n", + "plt.xlabel(\"%pop distance from ideal\",fontsize=20)\n", + "plt.ylabel(\"abs mean median gaps for election 12\",fontsize=20)" + ] + }, + { + "cell_type": "code", + "execution_count": 126, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig=plt.figure(figsize=(7,7))\n", + "plt.scatter(EG_pres12, sum_pp_score)\n", + "plt.yticks(fontsize =12)\n", + "plt.xticks(fontsize =12)\n", + "plt.ylim(0.03,0.033)\n", + "plt.xlabel(\"abs Efficiency gap 2012 \",fontsize=12)\n", + "plt.ylabel(\"sum polsby popper score\",fontsize=12)\n", + "fig.savefig('PA_sum_pp_EG.png',dpi=300, bbox_inches='tight')" + ] + }, + { + "cell_type": "code", + "execution_count": 79, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0, 0.5, 'abs efficiency gaps for election 2012')" + ] + }, + "execution_count": 79, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(15,15))\n", + "plt.scatter(pop_pct_vec, EG_pres12)\n", + "#plt.title(\"Iowa 1000 %pop_dist vs MM\")\n", + "#plt.xlim(0,0.015)\n", + "plt.yticks(fontsize =27)\n", + "plt.xticks(fontsize =20)\n", + "plt.xlabel(\"%pop distance from ideal\",fontsize=20)\n", + "plt.ylabel(\"abs efficiency gaps for election 2012\",fontsize=20)" + ] + }, + { + "cell_type": "code", + "execution_count": 83, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0, 0.5, 'sum polsby popper score')" + ] + }, + "execution_count": 83, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(15,15))\n", + "plt.scatter(MM_pres12, sum_pp_score)\n", + "plt.yticks(fontsize =27)\n", + "plt.xticks(fontsize =20)\n", + "plt.xlabel(\"abs mean median gap 2012\",fontsize=20)\n", + "plt.ylabel(\"sum polsby popper score\",fontsize=20)" + ] + }, + { + "cell_type": "code", + "execution_count": 84, + "metadata": {}, + "outputs": [], + "source": [ + "perc_b_pop=[]\n", + "for i in range(1000):\n", + " perc_b_pop.append([x/y for x,y in zip(B_pop[i],pop[i])])" + ] + }, + { + "cell_type": "code", + "execution_count": 85, + "metadata": {}, + "outputs": [], + "source": [ + "max_perc_b_pop=[]\n", + "for i in range(1000):\n", + " max_perc_b_pop.append(max(perc_b_pop[i]))" + ] + }, + { + "cell_type": "code", + "execution_count": 115, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig=plt.figure(figsize=(7,7))\n", + "plt.scatter(MM_pres12, max_perc_b_pop)\n", + "plt.yticks(fontsize =10)\n", + "plt.xticks(fontsize =10)\n", + "#plt.xlim(-0.001,0.005)\n", + "plt.xlabel(\"Mean median abs gap pres 12\",fontsize=10)\n", + "plt.ylabel(\"MAX black population %\",fontsize=10)\n", + "fig.savefig(\"PA_MM_BPOP.png\")" + ] + }, + { + "cell_type": "code", + "execution_count": 93, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0, 0.5, 'MAX black population %')" + ] + }, + "execution_count": 93, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", 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differ diff --git a/bvap_recom.py b/bvap_recom.py new file mode 100644 index 0000000..9d30164 --- /dev/null +++ b/bvap_recom.py @@ -0,0 +1,59 @@ +from random import random, choice +from collections import defaultdict +from gerrychain.tree import recursive_tree_part + +def bvap_biased_recom(partition, pop_col, bvap_col, pop_target, epsilon, + node_repeats, target_districts, p_target): + # TODO: Do we want to consider other denominators? (Voting-age population?) + bvaps = defaultdict(int) + pops = defaultdict(int) + for node in partition.graph.nodes: + bvaps[partition.assignment[node]] = partition.graph.nodes[node][bvap_col] + pops[partition.assignment[node]] = partition.graph.nodes[node][pop_col] + bvap_ratios = { + district_idx: bvaps[district_idx] / district_pop + for district_idx, district_pop in pops.items() + } + by_bvap = sorted(bvap_ratios.items(), key=lambda kv: kv[1]) + bvap_mapping = { + bvap_idx: orig[0] + for bvap_idx, orig in enumerate(by_bvap) + } + edges = sorted(partition['cut_edges'], key=lambda k: k[0]) + if random() < p_target: + # With probability p_target, we uniformly choose a target + # district to mix. Target indices are given by ordinal BVAP + # (index 0 refers to the district with the loewst BVAP). + target = choice(target_districts) + # Get the district index of the district with the ordinal + # BVAP value given by ``target``. + district_idx = bvap_mapping[target] + # print('Merging district', district_idx, '[', target, ']') + district_edges = [edge for edge in edges + if partition.assignment[edge[0]] == district_idx] + edge = choice(district_edges) + else: + # Otherwise, we just run a normal ReCom step. + edge = choice(edges) + parts_to_merge = (partition.assignment[edge[0]], + partition.assignment[edge[1]]) + + # (copied from original ReCom proposal) + subgraph = partition.graph.subgraph( + partition.parts[parts_to_merge[0]] | partition.parts[parts_to_merge[1]] + ) + + try: + flips = recursive_tree_part( + subgraph, + parts_to_merge, + pop_col=pop_col, + pop_target=pop_target, + epsilon=epsilon, + node_repeats=node_repeats, + ) + return partition.flip(flips) + except KeyError as ex: + # TODO: Do something more robust here + print('ReCom fails!') + return partition diff --git a/data/PA_VTD/PA_VTD.cpg b/data/PA_VTD/PA_VTD.cpg new file mode 100644 index 0000000..3ad133c --- /dev/null +++ b/data/PA_VTD/PA_VTD.cpg @@ -0,0 +1 @@ +UTF-8 \ No newline at end of file diff --git a/data/PA_VTD/PA_VTD.dbf b/data/PA_VTD/PA_VTD.dbf new file mode 100644 index 0000000..bfc098a Binary files /dev/null and b/data/PA_VTD/PA_VTD.dbf differ diff --git a/data/PA_VTD/PA_VTD.prj b/data/PA_VTD/PA_VTD.prj new file mode 100644 index 0000000..747df58 --- /dev/null +++ b/data/PA_VTD/PA_VTD.prj @@ -0,0 +1 @@ +GEOGCS["GCS_North_American_1983",DATUM["D_North_American_1983",SPHEROID["GRS_1980",6378137,298.257222101]],PRIMEM["Greenwich",0],UNIT["Degree",0.017453292519943295]] \ No newline at end of file diff --git a/data/PA_VTD/PA_VTD.qgz b/data/PA_VTD/PA_VTD.qgz new file mode 100644 index 0000000..9cf982e Binary files /dev/null and b/data/PA_VTD/PA_VTD.qgz differ diff --git a/data/PA_VTD/PA_VTD.qpj b/data/PA_VTD/PA_VTD.qpj new file mode 100644 index 0000000..2dab9e6 --- /dev/null +++ b/data/PA_VTD/PA_VTD.qpj @@ -0,0 +1 @@ +GEOGCS["NAD83",DATUM["North_American_Datum_1983",SPHEROID["GRS 1980",6378137,298.257222101,AUTHORITY["EPSG","7019"]],TOWGS84[0,0,0,0,0,0,0],AUTHORITY["EPSG","6269"]],PRIMEM["Greenwich",0,AUTHORITY["EPSG","8901"]],UNIT["degree",0.0174532925199433,AUTHORITY["EPSG","9122"]],AUTHORITY["EPSG","4269"]] diff --git a/data/PA_VTD/PA_VTD.shp b/data/PA_VTD/PA_VTD.shp new file mode 100644 index 0000000..6ce157b Binary files /dev/null and b/data/PA_VTD/PA_VTD.shp differ diff --git a/data/PA_VTD/PA_VTD.shx b/data/PA_VTD/PA_VTD.shx new file mode 100644 index 0000000..8d29f5c Binary files /dev/null and b/data/PA_VTD/PA_VTD.shx differ diff --git a/data/VA_precincts/VA_precincts.cpg b/data/VA_precincts/VA_precincts.cpg new file mode 100644 index 0000000..cd89cb9 --- /dev/null +++ b/data/VA_precincts/VA_precincts.cpg @@ -0,0 +1 @@ +ISO-8859-1 \ No newline at end of file diff --git a/data/VA_precincts/VA_precincts.dbf b/data/VA_precincts/VA_precincts.dbf new file mode 100644 index 0000000..dbf8ddd Binary files /dev/null and b/data/VA_precincts/VA_precincts.dbf differ diff --git a/data/VA_precincts/VA_precincts.prj b/data/VA_precincts/VA_precincts.prj new file mode 100644 index 0000000..d1507fd --- /dev/null +++ b/data/VA_precincts/VA_precincts.prj @@ -0,0 +1 @@ +PROJCS["Lambert_Conformal_Conic",GEOGCS["GCS_North_American_1983",DATUM["D_North_American_1983",SPHEROID["GRS_1980",6378137,298.257222101]],PRIMEM["Greenwich",0],UNIT["Degree",0.017453292519943295]],PROJECTION["Lambert_Conformal_Conic"],PARAMETER["standard_parallel_1",37],PARAMETER["standard_parallel_2",39.5],PARAMETER["latitude_of_origin",36],PARAMETER["central_meridian",-79.5],PARAMETER["false_easting",0],PARAMETER["false_northing",0],UNIT["Meter",1]] \ No newline at end of file diff --git a/data/VA_precincts/VA_precincts.shp b/data/VA_precincts/VA_precincts.shp new file mode 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