15. Geospatial Analysis/tutorial/05. proximity-analysis.ipynb

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   "source": [
    "# Introduction\n",
    "\n",
    "In this tutorial, you'll explore several techniques for **proximity analysis**.  In particular, you'll learn how to do such things as:\n",
    "- measure the distance between points on a map, and\n",
    "- select all points within some radius of a feature."
   ]
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   "source": [
    "\n",
    "import folium\n",
    "from folium import Marker, GeoJson\n",
    "from folium.plugins import HeatMap\n",
    "\n",
    "import pandas as pd\n",
    "import geopandas as gpd"
   ]
  },
  {
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   "source": [
    "You'll work with a dataset from the US Environmental Protection Agency (EPA) that tracks releases of toxic chemicals in Philadelphia, Pennsylvania, USA."
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       "      <th></th>\n",
       "      <th>YEAR</th>\n",
       "      <th>CITY</th>\n",
       "      <th>COUNTY</th>\n",
       "      <th>ST</th>\n",
       "      <th>LATITUDE</th>\n",
       "      <th>LONGITUDE</th>\n",
       "      <th>CHEMICAL</th>\n",
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       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>2016</td>\n",
       "      <td>PHILADELPHIA</td>\n",
       "      <td>PHILADELPHIA</td>\n",
       "      <td>PA</td>\n",
       "      <td>40.005901</td>\n",
       "      <td>-75.072103</td>\n",
       "      <td>FORMIC ACID</td>\n",
       "      <td>Pounds</td>\n",
       "      <td>0.160</td>\n",
       "      <td>POINT (2718560.227 256380.179)</td>\n",
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       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2016</td>\n",
       "      <td>PHILADELPHIA</td>\n",
       "      <td>PHILADELPHIA</td>\n",
       "      <td>PA</td>\n",
       "      <td>39.920120</td>\n",
       "      <td>-75.146410</td>\n",
       "      <td>ETHYLENE GLYCOL</td>\n",
       "      <td>Pounds</td>\n",
       "      <td>13353.480</td>\n",
       "      <td>POINT (2698674.606 224522.905)</td>\n",
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       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2016</td>\n",
       "      <td>PHILADELPHIA</td>\n",
       "      <td>PHILADELPHIA</td>\n",
       "      <td>PA</td>\n",
       "      <td>40.023880</td>\n",
       "      <td>-75.220450</td>\n",
       "      <td>CERTAIN GLYCOL ETHERS</td>\n",
       "      <td>Pounds</td>\n",
       "      <td>104.135</td>\n",
       "      <td>POINT (2676833.394 261701.856)</td>\n",
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       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2016</td>\n",
       "      <td>PHILADELPHIA</td>\n",
       "      <td>PHILADELPHIA</td>\n",
       "      <td>PA</td>\n",
       "      <td>39.913540</td>\n",
       "      <td>-75.198890</td>\n",
       "      <td>LEAD COMPOUNDS</td>\n",
       "      <td>Pounds</td>\n",
       "      <td>1730.280</td>\n",
       "      <td>POINT (2684030.004 221697.388)</td>\n",
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       "      <td>PHILADELPHIA</td>\n",
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       "      <td>39.913540</td>\n",
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       "      <td>39863.290</td>\n",
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       "   YEAR          CITY        COUNTY  ST   LATITUDE  LONGITUDE  \\\n",
       "0  2016  PHILADELPHIA  PHILADELPHIA  PA  40.005901 -75.072103   \n",
       "1  2016  PHILADELPHIA  PHILADELPHIA  PA  39.920120 -75.146410   \n",
       "2  2016  PHILADELPHIA  PHILADELPHIA  PA  40.023880 -75.220450   \n",
       "3  2016  PHILADELPHIA  PHILADELPHIA  PA  39.913540 -75.198890   \n",
       "4  2016  PHILADELPHIA  PHILADELPHIA  PA  39.913540 -75.198890   \n",
       "\n",
       "                CHEMICAL UNIT_OF_ME  TOTAL_RELE  \\\n",
       "0            FORMIC ACID     Pounds       0.160   \n",
       "1        ETHYLENE GLYCOL     Pounds   13353.480   \n",
       "2  CERTAIN GLYCOL ETHERS     Pounds     104.135   \n",
       "3         LEAD COMPOUNDS     Pounds    1730.280   \n",
       "4                BENZENE     Pounds   39863.290   \n",
       "\n",
       "                         geometry  \n",
       "0  POINT (2718560.227 256380.179)  \n",
       "1  POINT (2698674.606 224522.905)  \n",
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   "source": [
    "releases = gpd.read_file(\"../input/geospatial-learn-course-data/toxic_release_pennsylvania/toxic_release_pennsylvania/toxic_release_pennsylvania.shp\") \n",
    "releases.head()"
   ]
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   "source": [
    "You'll also work with a dataset that contains readings from air quality monitoring stations in the same city."
   ]
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       "      <th></th>\n",
       "      <th>SITE_NAME</th>\n",
       "      <th>ADDRESS</th>\n",
       "      <th>BLACK_CARB</th>\n",
       "      <th>ULTRAFINE_</th>\n",
       "      <th>CO</th>\n",
       "      <th>SO2</th>\n",
       "      <th>OZONE</th>\n",
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       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>LAB</td>\n",
       "      <td>1501 East Lycoming Avenue</td>\n",
       "      <td>N</td>\n",
       "      <td>N</td>\n",
       "      <td>Y</td>\n",
       "      <td>N</td>\n",
       "      <td>Y</td>\n",
       "      <td>Y</td>\n",
       "      <td>Y</td>\n",
       "      <td>N</td>\n",
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       "      <td>Y</td>\n",
       "      <td>N</td>\n",
       "      <td>Y</td>\n",
       "      <td>N</td>\n",
       "      <td>y</td>\n",
       "      <td>N</td>\n",
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       "      <th>1</th>\n",
       "      <td>ROX</td>\n",
       "      <td>Eva and Dearnley Streets</td>\n",
       "      <td>N</td>\n",
       "      <td>N</td>\n",
       "      <td>N</td>\n",
       "      <td>N</td>\n",
       "      <td>N</td>\n",
       "      <td>N</td>\n",
       "      <td>N</td>\n",
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       "      <td>N</td>\n",
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       "      <td>N</td>\n",
       "      <td>Y</td>\n",
       "      <td>N</td>\n",
       "      <td>N</td>\n",
       "      <td>40.050461</td>\n",
       "      <td>-75.236966</td>\n",
       "      <td>POINT (2671934.290 271248.900)</td>\n",
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       "      <th>2</th>\n",
       "      <td>NEA</td>\n",
       "      <td>Grant Avenue and Ashton Street</td>\n",
       "      <td>N</td>\n",
       "      <td>N</td>\n",
       "      <td>N</td>\n",
       "      <td>N</td>\n",
       "      <td>Y</td>\n",
       "      <td>N</td>\n",
       "      <td>N</td>\n",
       "      <td>N</td>\n",
       "      <td>...</td>\n",
       "      <td>N</td>\n",
       "      <td>N</td>\n",
       "      <td>N</td>\n",
       "      <td>N</td>\n",
       "      <td>N</td>\n",
       "      <td>Y</td>\n",
       "      <td>N</td>\n",
       "      <td>40.072073</td>\n",
       "      <td>-75.013128</td>\n",
       "      <td>POINT (2734326.638 280980.247)</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>CHS</td>\n",
       "      <td>500 South Broad Street</td>\n",
       "      <td>N</td>\n",
       "      <td>N</td>\n",
       "      <td>N</td>\n",
       "      <td>N</td>\n",
       "      <td>N</td>\n",
       "      <td>N</td>\n",
       "      <td>N</td>\n",
       "      <td>N</td>\n",
       "      <td>...</td>\n",
       "      <td>N</td>\n",
       "      <td>N</td>\n",
       "      <td>Y</td>\n",
       "      <td>N</td>\n",
       "      <td>Y</td>\n",
       "      <td>N</td>\n",
       "      <td>N</td>\n",
       "      <td>39.944510</td>\n",
       "      <td>-75.165442</td>\n",
       "      <td>POINT (2693078.580 233247.101)</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>NEW</td>\n",
       "      <td>2861 Lewis Street</td>\n",
       "      <td>N</td>\n",
       "      <td>N</td>\n",
       "      <td>Y</td>\n",
       "      <td>Y</td>\n",
       "      <td>Y</td>\n",
       "      <td>N</td>\n",
       "      <td>Y</td>\n",
       "      <td>Y</td>\n",
       "      <td>...</td>\n",
       "      <td>N</td>\n",
       "      <td>Y</td>\n",
       "      <td>N</td>\n",
       "      <td>Y</td>\n",
       "      <td>N</td>\n",
       "      <td>Y</td>\n",
       "      <td>N</td>\n",
       "      <td>39.991688</td>\n",
       "      <td>-75.080378</td>\n",
       "      <td>POINT (2716399.773 251134.976)</td>\n",
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       "<p>5 rows × 24 columns</p>\n",
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       "  SITE_NAME                         ADDRESS BLACK_CARB ULTRAFINE_ CO SO2  \\\n",
       "0       LAB       1501 East Lycoming Avenue          N          N  Y   N   \n",
       "1       ROX        Eva and Dearnley Streets          N          N  N   N   \n",
       "2       NEA  Grant Avenue and Ashton Street          N          N  N   N   \n",
       "3       CHS          500 South Broad Street          N          N  N   N   \n",
       "4       NEW               2861 Lewis Street          N          N  Y   Y   \n",
       "\n",
       "  OZONE NO2 NOY_NO PM10  ... PAMS_VOC TSP_11101 TSP_METALS TSP_LEAD  \\\n",
       "0     Y   Y      Y    N  ...        Y         N          Y        N   \n",
       "1     N   N      N    N  ...        N         N          Y        N   \n",
       "2     Y   N      N    N  ...        N         N          N        N   \n",
       "3     N   N      N    N  ...        N         N          Y        N   \n",
       "4     Y   N      Y    Y  ...        N         Y          N        Y   \n",
       "\n",
       "  TOXICS_TO1 MET COMMUNITY_   LATITUDE  LONGITUDE  \\\n",
       "0          y   N          N  40.008606 -75.097624   \n",
       "1          Y   N          N  40.050461 -75.236966   \n",
       "2          N   Y          N  40.072073 -75.013128   \n",
       "3          Y   N          N  39.944510 -75.165442   \n",
       "4          N   Y          N  39.991688 -75.080378   \n",
       "\n",
       "                         geometry  \n",
       "0  POINT (2711384.641 257149.310)  \n",
       "1  POINT (2671934.290 271248.900)  \n",
       "2  POINT (2734326.638 280980.247)  \n",
       "3  POINT (2693078.580 233247.101)  \n",
       "4  POINT (2716399.773 251134.976)  \n",
       "\n",
       "[5 rows x 24 columns]"
      ]
     },
     "execution_count": 3,
     "metadata": {},
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   ],
   "source": [
    "stations = gpd.read_file(\"../input/geospatial-learn-course-data/PhillyHealth_Air_Monitoring_Stations/PhillyHealth_Air_Monitoring_Stations/PhillyHealth_Air_Monitoring_Stations.shp\")\n",
    "stations.head()"
   ]
  },
  {
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   "source": [
    "# Measuring distance\n",
    "\n",
    "To measure distances between points from two different GeoDataFrames, we first have to make sure that they use the same coordinate reference system (CRS).  Thankfully, this is the case here, where both use EPSG 2272."
   ]
  },
  {
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   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "epsg:2272\n",
      "epsg:2272\n"
     ]
    }
   ],
   "source": [
    "print(stations.crs)\n",
    "print(releases.crs)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6d0347da",
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   "source": [
    "We also check the CRS to see which units it uses (meters, feet, or something else).  In this case, EPSG 2272 has units of feet.  (_If you like, you can check this [here](https://epsg.io/2272)._)\n",
    "\n",
    "It's relatively straightforward to compute distances in GeoPandas.  The code cell below calculates the distance (in feet) between a relatively recent release incident in `recent_release` and every station in the `stations` GeoDataFrame."
   ]
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    {
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       "0     44778.509761\n",
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       "2     77744.509207\n",
       "3     14672.170878\n",
       "4     43753.554393\n",
       "5      4711.658655\n",
       "6     23197.430858\n",
       "7     12072.823097\n",
       "8     79081.825506\n",
       "9      3780.623591\n",
       "10    27577.474903\n",
       "11    19818.381002\n",
       "dtype: float64"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Select one release incident in particular\n",
    "recent_release = releases.iloc[360]\n",
    "\n",
    "# Measure distance from release to each station\n",
    "distances = stations.geometry.distance(recent_release.geometry)\n",
    "distances"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7ba368d2",
   "metadata": {
    "papermill": {
     "duration": 0.018036,
     "end_time": "2021-11-09T00:08:52.588326",
     "exception": false,
     "start_time": "2021-11-09T00:08:52.570290",
     "status": "completed"
    },
    "tags": []
   },
   "source": [
    "Using the calculated distances, we can obtain statistics like the mean distance to each station."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "abc85b56",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2021-11-09T00:08:52.628546Z",
     "iopub.status.busy": "2021-11-09T00:08:52.627912Z",
     "iopub.status.idle": "2021-11-09T00:08:52.632354Z",
     "shell.execute_reply": "2021-11-09T00:08:52.632869Z"
    },
    "papermill": {
     "duration": 0.026401,
     "end_time": "2021-11-09T00:08:52.633042",
     "exception": false,
     "start_time": "2021-11-09T00:08:52.606641",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Mean distance to monitoring stations: 33516.28487007786 feet\n"
     ]
    }
   ],
   "source": [
    "print('Mean distance to monitoring stations: {} feet'.format(distances.mean()))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "52970f95",
   "metadata": {
    "papermill": {
     "duration": 0.01827,
     "end_time": "2021-11-09T00:08:52.669932",
     "exception": false,
     "start_time": "2021-11-09T00:08:52.651662",
     "status": "completed"
    },
    "tags": []
   },
   "source": [
    "Or, we can get the closest monitoring station."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "91034ebd",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2021-11-09T00:08:52.710343Z",
     "iopub.status.busy": "2021-11-09T00:08:52.709669Z",
     "iopub.status.idle": "2021-11-09T00:08:52.719456Z",
     "shell.execute_reply": "2021-11-09T00:08:52.720098Z"
    },
    "papermill": {
     "duration": 0.031909,
     "end_time": "2021-11-09T00:08:52.720297",
     "exception": false,
     "start_time": "2021-11-09T00:08:52.688388",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Closest monitoring station (3780.623590556444 feet):\n",
      "ADDRESS      3100 Penrose Ferry Road\n",
      "LATITUDE                    39.91279\n",
      "LONGITUDE                 -75.185448\n",
      "Name: 9, dtype: object\n"
     ]
    }
   ],
   "source": [
    "print('Closest monitoring station ({} feet):'.format(distances.min()))\n",
    "print(stations.iloc[distances.idxmin()][[\"ADDRESS\", \"LATITUDE\", \"LONGITUDE\"]])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f2e1a135",
   "metadata": {
    "papermill": {
     "duration": 0.018594,
     "end_time": "2021-11-09T00:08:52.757917",
     "exception": false,
     "start_time": "2021-11-09T00:08:52.739323",
     "status": "completed"
    },
    "tags": []
   },
   "source": [
    "# Creating a buffer\n",
    "\n",
    "If we want to understand all points on a map that are some radius away from a point, the simplest way is to create a buffer.\n",
    "\n",
    "The code cell below creates a GeoSeries `two_mile_buffer` containing 12 different Polygon objects.  Each polygon is a buffer of 2 miles (or, 2\\*5280 feet) around a different air monitoring station."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "64c8a9ec",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2021-11-09T00:08:52.800358Z",
     "iopub.status.busy": "2021-11-09T00:08:52.799643Z",
     "iopub.status.idle": "2021-11-09T00:08:52.817291Z",
     "shell.execute_reply": "2021-11-09T00:08:52.817947Z"
    },
    "papermill": {
     "duration": 0.041106,
     "end_time": "2021-11-09T00:08:52.818128",
     "exception": false,
     "start_time": "2021-11-09T00:08:52.777022",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0    POLYGON ((2721944.641 257149.310, 2721893.792 ...\n",
       "1    POLYGON ((2682494.290 271248.900, 2682443.441 ...\n",
       "2    POLYGON ((2744886.638 280980.247, 2744835.789 ...\n",
       "3    POLYGON ((2703638.580 233247.101, 2703587.731 ...\n",
       "4    POLYGON ((2726959.773 251134.976, 2726908.924 ...\n",
       "dtype: geometry"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "two_mile_buffer = stations.geometry.buffer(2*5280)\n",
    "two_mile_buffer.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "864d9944",
   "metadata": {
    "papermill": {
     "duration": 0.01913,
     "end_time": "2021-11-09T00:08:52.856647",
     "exception": false,
     "start_time": "2021-11-09T00:08:52.837517",
     "status": "completed"
    },
    "tags": []
   },
   "source": [
    "We use `folium.GeoJson()` to plot each polygon on a map.  Note that since folium requires coordinates in latitude and longitude, we have to convert the CRS to EPSG 4326 before plotting."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "12f7cc99",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2021-11-09T00:08:52.898863Z",
     "iopub.status.busy": "2021-11-09T00:08:52.898158Z",
     "iopub.status.idle": "2021-11-09T00:08:53.221591Z",
     "shell.execute_reply": "2021-11-09T00:08:53.222132Z"
    },
    "papermill": {
     "duration": 0.346311,
     "end_time": "2021-11-09T00:08:53.222336",
     "exception": false,
     "start_time": "2021-11-09T00:08:52.876025",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
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       "<div style=\"width:100%;\"><div style=\"position:relative;width:100%;height:0;padding-bottom:60%;\"><span style=\"color:#565656\">Make this Notebook Trusted to load map: File -> Trust Notebook</span><iframe src=\"about:blank\" style=\"position:absolute;width:100%;height:100%;left:0;top:0;border:none !important;\" 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      ],
      "text/plain": [
       "<folium.folium.Map at 0x7f5c640d08d0>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Create map with release incidents and monitoring stations\n",
    "m = folium.Map(location=[39.9526,-75.1652], zoom_start=11)\n",
    "HeatMap(data=releases[['LATITUDE', 'LONGITUDE']], radius=15).add_to(m)\n",
    "for idx, row in stations.iterrows():\n",
    "    Marker([row['LATITUDE'], row['LONGITUDE']]).add_to(m)\n",
    "    \n",
    "# Plot each polygon on the map\n",
    "GeoJson(two_mile_buffer.to_crs(epsg=4326)).add_to(m)\n",
    "\n",
    "# Show the map\n",
    "m"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "50bcebd3",
   "metadata": {
    "papermill": {
     "duration": 0.023229,
     "end_time": "2021-11-09T00:08:53.269336",
     "exception": false,
     "start_time": "2021-11-09T00:08:53.246107",
     "status": "completed"
    },
    "tags": []
   },
   "source": [
    "Now, to test if a toxic release occurred within 2 miles of **any** monitoring station, we could run 12 different tests for each polygon (to check individually if it contains the point).\n",
    "\n",
    "But a more efficient way is to first collapse all of the polygons into a **MultiPolygon** object.  We do this with the `unary_union` attribute."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "ce0f5a38",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2021-11-09T00:08:53.320378Z",
     "iopub.status.busy": "2021-11-09T00:08:53.319744Z",
     "iopub.status.idle": "2021-11-09T00:08:53.336087Z",
     "shell.execute_reply": "2021-11-09T00:08:53.335454Z"
    },
    "papermill": {
     "duration": 0.043353,
     "end_time": "2021-11-09T00:08:53.336322",
     "exception": false,
     "start_time": "2021-11-09T00:08:53.292969",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Type: <class 'shapely.geometry.multipolygon.MultiPolygon'>\n"
     ]
    },
    {
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      ],
      "text/plain": [
       "<shapely.geometry.multipolygon.MultiPolygon at 0x7f5c640d99d0>"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Turn group of polygons into single multipolygon\n",
    "my_union = two_mile_buffer.geometry.unary_union\n",
    "print('Type:', type(my_union))\n",
    "\n",
    "# Show the MultiPolygon object\n",
    "my_union"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2ce49e42",
   "metadata": {
    "papermill": {
     "duration": 0.024856,
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   "source": [
    "We use the `contains()` method to check if the multipolygon contains a point.  We'll use the release incident from earlier in the tutorial, which we know is roughly 3781 feet to the closest monitoring station."
   ]
  },
  {
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   "id": "5ab5ea06",
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    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
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   ],
   "source": [
    "# The closest station is less than two miles away\n",
    "my_union.contains(releases.iloc[360].geometry)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d1f56f1b",
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    "tags": []
   },
   "source": [
    "But not all releases occured within two miles of an air monitoring station!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "a9bd082b",
   "metadata": {
    "execution": {
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     "iopub.status.busy": "2021-11-09T00:08:53.552496Z",
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   "outputs": [
    {
     "data": {
      "text/plain": [
       "False"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
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   ],
   "source": [
    "# The closest station is more than two miles away\n",
    "my_union.contains(releases.iloc[358].geometry)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "54385d0d",
   "metadata": {
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     "status": "completed"
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    "tags": []
   },
   "source": [
    "# Your turn\n",
    "\n",
    "In the **[final exercise](https://www.kaggle.com/kernels/fork/5832147)**, you'll investigate hospital coverage in New York City."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4fe39da4",
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   "source": [
    "---\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "*Have questions or comments? Visit the [course discussion forum](https://www.kaggle.com/learn/geospatial-analysis/discussion) to chat with other learners.*"
   ]
  }
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