{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# GeoPandas example\n", "\n", "Elements of Data Science\n", "\n", "by [Allen Downey](https://allendowney.com)\n", "\n", "[MIT License](https://opensource.org/licenses/MIT)\n", "\n", "\n", "## Introduction\n", "\n", "This notebook reads data from a survey where respondents provide the name and location (latitude and longitude) of their \"home town\".\n", "\n", "If you are following the *Elements of Data Science* curriculum, you can read this notebook after doing the `02_times` notebook. I'll use some features you have not seen yet, but you can get a preview of where we are headed.\n", "\n", "The following cell reads the data into a Pandas DataFrame." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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TimestampHome townlatitudelongitude
01/14/2020 9:35:38Luzern47.0501678.309307
11/14/2020 9:49:31Harrah, OK35.48950097.163600
21/19/2020 13:11:33Brussels, Belgium50.8455394.355710
31/23/2020 7:20:16bristol51.454514-2.587910
41/23/2020 11:35:38CABA (Buenos Aires City)-34.609032-58.373219
51/23/2020 14:10:35Botswana-24.27701222.053224
61/23/2020 14:28:10Santa Monica, CA34.010929-118.491508
71/23/2020 14:31:32Framingham, MA, USA42.504990-71.195830
81/23/2020 14:32:07Gothenburg57.69696111.964948
91/23/2020 14:35:43Wilmington, MA42.558281-71.163834
101/23/2020 14:46:10Modest, CA37.639095-120.996880
111/23/2020 14:52:49Tacoma, WA47.252876-122.444290
121/23/2020 14:58:22Dracut, MA42.668941-71.303299
131/23/2020 15:56:31Freehold, NJ40.213700-74.300100
141/23/2020 16:40:58Madison, WI43.073100-89.401200
\n", "
" ], "text/plain": [ " Timestamp Home town latitude longitude\n", "0 1/14/2020 9:35:38 Luzern 47.050167 8.309307\n", "1 1/14/2020 9:49:31 Harrah, OK 35.489500 97.163600\n", "2 1/19/2020 13:11:33 Brussels, Belgium 50.845539 4.355710\n", "3 1/23/2020 7:20:16 bristol 51.454514 -2.587910\n", "4 1/23/2020 11:35:38 CABA (Buenos Aires City) -34.609032 -58.373219\n", "5 1/23/2020 14:10:35 Botswana -24.277012 22.053224\n", "6 1/23/2020 14:28:10 Santa Monica, CA 34.010929 -118.491508\n", "7 1/23/2020 14:31:32 Framingham, MA, USA 42.504990 -71.195830\n", "8 1/23/2020 14:32:07 Gothenburg 57.696961 11.964948\n", "9 1/23/2020 14:35:43 Wilmington, MA 42.558281 -71.163834\n", "10 1/23/2020 14:46:10 Modest, CA 37.639095 -120.996880\n", "11 1/23/2020 14:52:49 Tacoma, WA 47.252876 -122.444290\n", "12 1/23/2020 14:58:22 Dracut, MA 42.668941 -71.303299\n", "13 1/23/2020 15:56:31 Freehold, NJ 40.213700 -74.300100\n", "14 1/23/2020 16:40:58 Madison, WI 43.073100 -89.401200" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import pandas as pd\n", "\n", "# To read data from a Google spreadsheet, open the sheet in Drive,\n", "# Share, then \"Get shareable link\". Copy the link and paste it into\n", "# a Jupyter cell, then copy the `sheet_id`, which is a long string\n", "# of letters and numbers in the middle of the URL, and paste it below.\n", "\n", "# The following is the sheet ID for the survey\n", "sheet_id = '1Xo144yGrM2TLSPlM9EhS3imGlWdL4YZccALDHYnGAYg'\n", "\n", "url = f'https://docs.google.com/spreadsheets/d/{sheet_id}/export?format=csv'\n", "df = pd.read_csv(url)\n", "df.columns = ['Timestamp', 'Home town', 'latitude', 'longitude']\n", "df" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## GeoPandas\n", "\n", "The following cell installs GeoPandas, which we'll use to visualize the results." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "import sys\n", "IN_COLAB = 'google.colab' in sys.modules\n", "\n", "if IN_COLAB:\n", " !pip install geopandas" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now the following import statements should work." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "import geopandas as gpd" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The following code loads a map of the world and plots it." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "%matplotlib inline\n", "\n", "path = gpd.datasets.get_path('naturalearth_lowres')\n", "world = gpd.read_file(path)\n", "world = world[(world.name != \"Antarctica\") & (world.name != \"Fr. S. Antarctic Lands\")]\n", "world.to_crs(epsg=3395)\n", "\n", "world.plot(color='white', edgecolor='gray');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Making the map\n", "\n", "We'll use `Point` and `LineString` to plot locations and lines." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "from shapely.geometry import Point, LineString" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here's a point that represents the location of Boston. Notice that when you create a `Point`, the order of latitude and longitude is non-standard." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "lat = 42.3601\n", "lon = -71.0589\n", "boston = Point(lon, lat)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The following cell loops through the rows of the DataFrame and creates two GeoSeries: one contains a `Point` for each location, the other contains a `LineString` for each location." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Luzern 47.050167 8.309307\n", "Harrah, OK 35.4895 97.1636\n", "Brussels, Belgium 50.845539 4.35571\n", "bristol 51.454514 -2.58791\n", "CABA (Buenos Aires City) -34.609032 -58.37321899999999\n", "Botswana -24.277012 22.053224\n", "Santa Monica, CA 34.010929 -118.49150800000001\n", "Framingham, MA, USA 42.50499 -71.19583\n", "Gothenburg 57.696961 11.964948\n", "Wilmington, MA 42.558281 -71.163834\n", "Modest, CA 37.639095000000005 -120.99688\n", "Tacoma, WA 47.252876 -122.44429\n", "Dracut, MA 42.668941 -71.303299\n", "Freehold, NJ 40.2137 -74.3001\n", "Madison, WI 43.0731 -89.4012\n" ] } ], "source": [ "lines = gpd.GeoSeries()\n", "points = gpd.GeoSeries()\n", "points['boston'] = boston\n", "\n", "for i, row in df.iterrows():\n", " timestamp, name, lat, lon = row\n", " print(name, lat, lon)\n", " hometown = Point(lon, lat)\n", " points[name] = hometown\n", " lines[name] = LineString([hometown, boston])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we can plot the world map, the home towns, and the lines." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "plt.figure(figsize=(12, 12))\n", "ax = plt.gca()\n", "\n", "# plot the map\n", "world.plot(color='white', edgecolor='gray', ax=ax)\n", "\n", "# plot the lines\n", "lines.plot(color='C0', alpha=0.5, ax=ax)\n", "\n", "# plot the points\n", "points.plot(color='C4', ax=ax);" ] }, { "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": "3.7.4" } }, "nbformat": 4, "nbformat_minor": 2 }