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Companion notebook to this blog post:
{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import matplotlib.pyplot as plt\n",
"%matplotlib inline\n",
"\n",
"from descartes import PolygonPatch\n",
"import geojson\n",
"import geopandas as gpd\n",
"import networkx as nx\n",
"import osmnx as ox\n",
"import pandas as pd\n",
"import requests\n",
"from shapely.geometry import shape, LineString, Point, Polygon, MultiPolygon, MultiPoint"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"# Go ahead and download the SD MTC MidCoast trolley GeoJSON\n",
"import geojson\n",
"import requests\n",
"from shapely.geometry import shape, MultiLineString\n",
"\n",
"def get_shape(url):\n",
" output = requests.get(url).text\n",
" loaded = geojson.loads(output)\n",
" fs = loaded['features']\n",
"\n",
" paths = []\n",
" for i in range(len(fs)):\n",
" p = fs[i]['geometry']\n",
" paths.append(shape(p))\n",
" \n",
" return MultiLineString(paths)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"url_actual = 'https://gist.githubusercontent.com/kuanb/68d9d297ad0f206a6e3552f81b738127/raw/a36dc0f7eed5ca8a139f5eb4112fba0ce7809843/sdmtc.geojson'\n",
"url_proposed = 'https://gist.githubusercontent.com/kuanb/68d9d297ad0f206a6e3552f81b738127/raw/cc7004fa560fc83ada0f6ec6bb38788abfda7d8c/sdmtc_alt_alignment.geojson'"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"actual_shape_orig = get_shape(url_actual)\n",
"proposed_shape_orig = get_shape(url_proposed)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"both_gs = gpd.GeoSeries([actual_shape_orig, proposed_shape_orig])"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x7fcfe838c470>"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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M5DQzIhHhqfH9qaiq4X/mbCGxVRS/yOlsd7WaTHg+m2hmWsdY4jte4TwnfZdLePbagVzU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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fd0157b15c0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"temp_gdf = gpd.GeoDataFrame(geometry=both_gs)\n",
"temp_gdf.crs = {'init': 'epsg:4326'}\n",
"temp_gdf = temp_gdf.to_crs({'init': 'epsg:3857'})\n",
"temp_gdf.plot()"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"actual_shape = temp_gdf.geometry.values[0]\n",
"proposed_shape = temp_gdf.geometry.values[1]"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
"from shapely.geometry import MultiPolygon\n",
"bb = gpd.GeoDataFrame(geometry=both_gs).buffer(0.05).unary_union\n",
"G = ox.graph_from_polygon(bb, network_type='walk')"
]
},
{
"cell_type": "code",
"execution_count": 66,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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cuUNqampIWeb8+fNs2rTpJ3+3xPuPdNt+h1GpVBQUFCwauGG2YaakpASn00ly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\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i3rvdbuh0OpJiT0xM4Ec/+hGkUimkUinKysooE5TFrZ05cwY1NTXkay0QCIjBs7Ozg+Li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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fcfd5d9c7b8>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
"(<matplotlib.figure.Figure at 0x7fcfd5d9c7b8>,\n",
" <matplotlib.axes._subplots.AxesSubplot at 0x7fcfd5d9cf28>)"
]
},
"execution_count": 66,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"ox.plot_graph(G, node_size=0, edge_linewidth=0.5, fig_height=9)"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [],
"source": [
"# add elevation to each of the nodes, using the google elevation API, then calculate edge grades\n",
"google_elevation_api_key = 'foo'\n",
"G = ox.add_node_elevations(G,\n",
" api_key=google_elevation_api_key,\n",
" max_locations_per_batch=100,\n",
" pause_duration=0.1)\n",
"G = ox.add_edge_grades(G)"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [],
"source": [
"import copy\n",
"\n",
"# Should have reprojected and saved as such\n",
"# but going to do it now, and preserve original\n",
"# in case we need it for some reason\n",
"G_orig = copy.copy(G)\n",
"G = ox.project_graph(G_orig, to_crs={'init': 'epsg:3857'})"
]
},
{
"cell_type": "code",
"execution_count": 93,
"metadata": {},
"outputs": [],
"source": [
"def impedance(length, grade):\n",
" travel_speed = 4.5\n",
" meters_per_minute = travel_speed * 1000 / 60 #km per hour to m per minute\n",
"\n",
" ada_sidewalk_grade_max = 0.1\n",
" \n",
" if grade >= ada_sidewalk_grade_max:\n",
" return 999999\n",
" else:\n",
" return data['length'] / meters_per_minute\n",
" \n",
"# Run updates to the edges to capture grade aspects in costing\n",
"for u, v, k, data in G.edges(keys=True, data=True):\n",
" data['impedance'] = impedance(data['length'], data['grade_abs'])\n",
" data['rise'] = data['length'] * data['grade']"
]
},
{
"cell_type": "code",
"execution_count": 74,
"metadata": {},
"outputs": [],
"source": [
"# save street network as GraphML file\n",
"ox.save_graphml(G, filename='network.graphml')"
]
},
{
"cell_type": "code",
"execution_count": 167,
"metadata": {},
"outputs": [],
"source": [
"G = ox.load_graphml('network.graphml')"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [],
"source": [
"def project_point(pt):\n",
" a = gpd.GeoDataFrame(geometry=[pt])\n",
" a.crs = {'init': 'epsg:4326'}\n",
" a = a.to_crs({'init': 'epsg:3857'})\n",
" return a.geometry.values[0]"
]
},
{
"cell_type": "code",
"execution_count": 44,
"metadata": {},
"outputs": [],
"source": [
"trip_times = [5, 10, 15, 20, 25, 30] #in minutes\n",
"sorted_tt = sorted(trip_times, reverse=True)\n",
"\n",
"skip_list = []\n",
"def generate_iso_node_arrays(shape,\n",
" sorted_tt=sorted_tt):\n",
" # Cumulative results\n",
" isochrone_polys = {}\n",
" for tt in sorted_tt:\n",
" isochrone_polys[tt] = []\n",
"\n",
" xys = shape.coords.xy\n",
" xs = xys[0]\n",
" ys = xys[1]\n",
" xys = list(zip(xs, ys))\n",
"\n",
" count = 0\n",
" for xy in xys:\n",
" count += 1\n",
" ap = Point(*xy)\n",
" pp = project_point(ap)\n",
"\n",
" nn, dist = ox.get_nearest_node(G,\n",
" (pp.y, pp.x),\n",
" method='euclidean',\n",
" return_dist=True)\n",
"\n",
" if dist > 150:\n",
" skip_list.append({'node': nn,\n",
" 'xy': xy,\n",
" 'dist': round(dist)})\n",
" continue\n",
"\n",
" for trip_time in sorted_tt:\n",
" subgraph = nx.ego_graph(G,\n",
" nn,\n",
" radius=trip_time,\n",
" distance='impedance')\n",
" \n",
" # Note we will be creating many duplicates in this step\n",
" for n in subgraph.node:\n",
" isochrone_polys[trip_time].append(n)\n",
" \n",
" # Once we finish running through all nodes along spine\n",
" # we can remove duplicates in each of the trip time lists\n",
" for trip_time in sorted_tt:\n",
" deduped = list(set(isochrone_polys[trip_time]))\n",
" isochrone_polys[trip_time] = deduped\n",
" return isochrone_polys"
]
},
{
"cell_type": "code",
"execution_count": 45,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"CPU times: user 0 ns, sys: 0 ns, total: 0 ns\n",
"Wall time: 26.7 µs\n"
]
}
],
"source": [
"%time\n",
"\n",
"isochrone_polys_actual = generate_iso_node_arrays(actual_shape_orig[0])\n",
"isochrone_polys_prop = generate_iso_node_arrays(proposed_shape_orig[0])"
]
},
{
"cell_type": "code",
"execution_count": 56,
"metadata": {},
"outputs": [],
"source": [
"def convert_to_points(G, isochrone_ids):\n",
" cleaned = {}\n",
" for tt in [5, 10, 15, 20, 25, 30]:\n",
" cleaned[tt] = []\n",
" for n in isochrone_ids[tt]:\n",
" gn = G.node[n]\n",
" p = Point(gn['x'], gn['y'])\n",
" cleaned[tt].append(p)\n",
" return cleaned"
]
},
{
"cell_type": "code",
"execution_count": 60,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"CPU times: user 0 ns, sys: 0 ns, total: 0 ns\n",
"Wall time: 25 µs\n"
]
}
],
"source": [
"%time\n",
"\n",
"isochrone_polys_act_conv = convert_to_points(G, isochrone_polys_actual)\n",
"isochrone_polys_pro_conv = convert_to_points(G, isochrone_polys_prop)"
]
},
{
"cell_type": "code",
"execution_count": 61,
"metadata": {},
"outputs": [],
"source": [
"def convert_to_gdfs(isochrone_polys,\n",
" sorted_tt,\n",
" buffer_r=100):\n",
" # buffer_r is the distance around the node we want to consider\n",
" # that node as representing in terms of access. Defaults to\n",
" # 100 meters\n",
" geoms = []\n",
" for tt in sorted_tt:\n",
" gs = gpd.GeoSeries(isochrone_polys[tt])\n",
" uu = gs.buffer(100).simplify(25).unary_union\n",
" geoms.append(uu)\n",
" return gpd.GeoDataFrame({'time': sorted_tt},\n",
" geometry=geoms)"
]
},
{
"cell_type": "code",
"execution_count": 62,
"metadata": {},
"outputs": [],
"source": [
"ip_act_gdf = convert_to_gdfs(isochrone_polys_act_conv, sorted_tt)\n",
"ip_pro_gdf = convert_to_gdfs(isochrone_polys_pro_conv, sorted_tt)"
]
},
{
"cell_type": "code",
"execution_count": 64,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x7fcfd66f0518>"
]
},
"execution_count": 64,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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BntwKfOal/EZgvlKqKsn/NcCHeh9WoYmUWgAjgAVKqdO60S1AE7v7hImXdsBSjeWa5wvr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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fcfd66e5d30>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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S0GWxwdJExdvirMPYY6ayscfjo9vx+OiOWK1Wh5tSguO1Ua/llau6V7v2ocwi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\njLuyEF89b17fNFIWHiP3cMbcM3cLy/c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"text/plain": [
"<matplotlib.figure.Figure at 0x7fcfe2fc4ac8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Visually examine the two results\n",
"ip_act_gdf.plot()\n",
"ip_pro_gdf.plot()"
]
},
{
"cell_type": "code",
"execution_count": 67,
"metadata": {},
"outputs": [
{
"data": {
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],
"text/plain": [
"<shapely.geometry.multipolygon.MultiPolygon at 0x7fcfd90c8a58>"
]
},
"execution_count": 67,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Pull out the common geometries\n",
"ippguu = ip_pro_gdf.unary_union\n",
"ipaguu = ip_act_gdf.unary_union\n",
"common_zone = ipaguu.intersection(ippguu)\n",
"common_zone"
]
},
{
"cell_type": "code",
"execution_count": 70,
"metadata": {},
"outputs": [],
"source": [
"ipp_sdiff = ip_pro_gdf.symmetric_difference(common_zone)\n",
"ipa_sdiff = ip_act_gdf.symmetric_difference(common_zone)"
]
},
{
"cell_type": "code",
"execution_count": 72,
"metadata": {},
"outputs": [],
"source": [
"ipp_common = ip_pro_gdf.intersection(common_zone)\n",
"ipa_common = ip_act_gdf.intersection(common_zone)"
]
},
{
"cell_type": "code",
"execution_count": 71,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x7fcfb81cf048>"
]
},
"execution_count": 71,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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huKlzJjD5k81sT81HK8DPU8/YbmG89o+e9J210hajEhPqjYdew/70Ij68pTcz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\nN/g9xsgNfo8xcoPfY4zc4PcYIzf4Pf8PKjMl2GP6BvEAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fcfd90c86d8>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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Y2DtrMsOf/tVrDrBiq1xcbmfR9mNMHtAeEeGjW0a4r53fL56cUjs/+Fi7Tc0s5OM1GRwt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\nYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fcfd90c8b70>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Again, visually inspect the results\n",
"ipp_sdiff.plot()\n",
"ipa_sdiff.plot()"
]
},
{
"cell_type": "code",
"execution_count": 73,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x7fcfb81d1048>"
]
},
"execution_count": 73,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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vRcQzmtOgNa9bgsY+gzn1rYdSaq6P5BJFZIOI/CQi4xpy/3ZryxSR\nH4HOPk49pJT6piFpKKVcwAhzrPsrc4z8SB2XfAt8qpQqFZHbMUqWCxqZ9Qpa+xlExIYxyDDNx+kM\noKcyFiMdCXwtIkOUUnUuz9BuBaiUmtiMaXnGyC8BXsSYHhZgliAV49RKqSyvy97BmO8ItY+T13ff\n1n6GDsBQYIk5Z7gzMEdErlRKrcXYUwal1DoR2YsxM6pOK6KugpuI+F47e6cy3sgXA5PNqFOBb8x4\n3nMWr6RyXW1L1rxu7DMopfKUUrFKqQSlVAJGI+RKpdRaMy27mVZvjAko++rNhJWtTX/9YIxzp2P8\nRx8F5pvhXYF55rHPMXLzXG+MCRYpwBdAkBn+d2Abxvj5YmCg1zU+x8n97Rmq3WMJla3ga8xn2wis\nB65oSD71SIjGUnQVrLEULUCNpWgBaixFC1BjKVqA7QQReU9EjonI1gbEfdlrUsFuEcmt75om50u3\ngtsHInIuUIjhpx5aX3yv6/4InK6UuqXeyE1Al4DtBKXUUqDKfnoi0kdEfhCRdSKyTEQG+rj0BuDT\nlspXux2K0wDGFPzfKaX2iMho4A28xqZFpBeQCCxqqQxoAbZTRCQcY4/nL6Ryid7qO11PAb5UxoSF\nFkELsP1iw5hyNaKOOFOAP7R0JjTtEGVMk9ovItdCxZJ3wz3nzffBKGBlS+ZDC7CdICKfYohpgIik\ni8h04EZguohswphIMMnrkinAbNXC3SS6G0ZjKboE1FiKFqDGUrQANZaiBaixFC1AjaVoAWosRQtQ\nYylagBpL+X8BVJrEeco9+gAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fcfdfc67cf8>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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1yqIKVDQ+sOSU52hdyOSLrXHhO9/XTvzjc8mqiMshXDagPS6nMCMtk5aRLo7WwkE1kA9W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\nxRigwVaMARpsxRigwVb+H++Y6TWRrXhAAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fcfb81c5828>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Again, visually inspect the results\n",
"ipp_common.plot()\n",
"ipa_common.plot()"
]
},
{
"cell_type": "code",
"execution_count": 88,
"metadata": {},
"outputs": [],
"source": [
"def add_isos(isos_gdf, ax, ec='red'):\n",
" for gs in isos_gdf:\n",
" gss = gs.simplify(25)\n",
"\n",
" if isinstance(gss, Polygon):\n",
" gss = MultiPolygon([gss])\n",
"\n",
" for poly in gss:\n",
" # Only plot if we actually have an Polygon\n",
" # type (could be that some layers have)\n",
" # no intersections, for example\n",
" is_p = isinstance(poly, Polygon) \n",
" if not is_p:\n",
" continue\n",
"\n",
" patch = PolygonPatch(poly,\n",
" fc=ec,\n",
" ec='none',\n",
" alpha=0.25,\n",
" zorder=-1)\n",
" ax.add_patch(patch)"
]
},
{
"cell_type": "code",
"execution_count": 89,
"metadata": {},
"outputs": [
{
"data": {
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