speeds3.ipynb

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   "cell_type": "markdown",
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   "source": [
    "# Visualizing Public Transportation Speeds with Python\n",
    "When people choose between driving and public transportation for urban trips, travel time (and public transportation frequency) is the most influential factor in their decision. Here we use Python to evaluate public transportation timetable speed between stops to look for slow spots. First we load some libraries:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import requests\n",
    "import pandas\n",
    "import tempfile\n",
    "import datetime\n",
    "import gtfstk\n",
    "import folium\n",
    "import haversine\n",
    "from functools import reduce\n",
    "from multiprocessing import Pool"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Next we create some helper functions. We make a function url2gtfs to extend the gtfstk library so it can load a library directly without downloading it first. We create parseTime to deal with date fields that go past 24 hours in timetables. Next we make tripToSegments to split up each public transportation vehicle's \"trip\" into \"segments\" between stops. And last we create function to plot each segment."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def url2gtfs(url):\n",
    "    r = requests.get(url)\n",
    "    with tempfile.NamedTemporaryFile() as f:\n",
    "      f.write(r._content)\n",
    "      return gtfstk.read_gtfs(f.name, dist_units='mi')\n",
    "\n",
    "\n",
    "def parseTime(time): # to deal with times after midnight\n",
    "    if int(time.split(':')[0]) > 23:\n",
    "        return datetime.datetime.strptime('2:' + str(int(time.split(':')[0]) - 24) + ':'\n",
    "                                          + time.split(':')[1] + ':' + time.split(':')[2], '%d:%H:%M:%S')\n",
    "    else:\n",
    "        return datetime.datetime.strptime('1:' + time, '%d:%H:%M:%S')\n",
    "\n",
    "\n",
    "def tripToSegments(trip_id):\n",
    "    stop_times = gtfs.stop_times[gtfs.stop_times['trip_id'] == trip_id]\n",
    "    segments = []\n",
    "    for i in range(len(stop_times)-1):\n",
    "        origin = gtfs.stops[gtfs.stops['stop_id'] == stop_times['stop_id'].iloc[i]]\n",
    "        destination = gtfs.stops[gtfs.stops['stop_id'] == stop_times['stop_id'].iloc[i+1]]\n",
    "        distance = haversine.haversine((origin['stop_lat'], origin['stop_lon']),\n",
    "                         (destination['stop_lat'], destination['stop_lon']),\n",
    "                         miles=True)\n",
    "        startTime = parseTime(stop_times['departure_time'].iloc[i])\n",
    "        stopTime = parseTime(stop_times['arrival_time'].iloc[i+1])\n",
    "        duration = (stopTime - startTime).seconds\n",
    "        if duration == 0:\n",
    "            speed = 0 # when the laws of physics do not apply\n",
    "        else:\n",
    "            speed = distance / duration * 60 * 60\n",
    "        segments.append({'origin_id': origin['stop_id'].iloc[0],\n",
    "                         'destination_id': destination['stop_id'].iloc[0],\n",
    "                         'distance': distance,\n",
    "                         'duration': duration,\n",
    "                         'speed': speed})\n",
    "    return(segments)\n",
    "\n",
    "def plotSegment(segment):\n",
    "    origin = gtfs.stops[gtfs.stops['stop_id'] == segment.name[0]]\n",
    "    destination = gtfs.stops[gtfs.stops['stop_id'] == segment.name[1]]\n",
    "    folium.PolyLine(locations=[(origin.stop_lat.iloc[0], origin.stop_lon.iloc[0]),\n",
    "                               (destination.stop_lat.iloc[0], destination.stop_lon.iloc[0])],\n",
    "                    popup=str(segment.speed['min']),\n",
    "                    weight=segment.speed['min']\n",
    "                   ).add_to(foliumMap)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here we specify the General Transit Feed Specification (GTFS) feed for the public transportation agency we want to analyze. Then we can look at the routes in that feed."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "url = 'https://gitlab.com/LACMTA/gtfs_rail/raw/master/gtfs_rail.zip' # Los Angeles County Metro\n",
    "# url = 'http://github.com/transitland/gtfs-archives-not-hosted-elsewhere/raw/master/amtrak.zip' # Amtrak\n",
    "gtfs = url2gtfs(url)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
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       "  route_id route_short_name          route_long_name  route_desc  route_type  \\\n",
       "0      801              NaN    Metro Blue Line (801)         NaN           0   \n",
       "1      802              NaN     Metro Red Line (802)         NaN           1   \n",
       "2      803              NaN   Metro Green Line (803)         NaN           0   \n",
       "3      804              NaN    Metro Gold Line (804)         NaN           0   \n",
       "4      806              NaN    Metro Expo Line (806)         NaN           0   \n",
       "5      805              NaN  Metro Purple Line (805)         NaN           1   \n",
       "\n",
       "  route_color route_text_color                                      route_url  \n",
       "0      004DAC           FFFFFF    http://www.metro.net/around/rail/blue-line/  \n",
       "1      EE3A43           FFFFFF     http://www.metro.net/around/rail/red-line/  \n",
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   ],
   "source": [
    "gtfs.routes"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Next we pick the route we want to analyse and the direction (0.0 or 1.0). We filter the GTFS data for the route and direction, and split the trips into segments. Here we have the min, max, mean speed between each stop pair."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
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   "outputs": [
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       "      <td>10.289281</td>\n",
       "      <td>13.719042</td>\n",
       "      <td>13.719042</td>\n",
       "      <td>15.433922</td>\n",
       "      <td>15.433922</td>\n",
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       "      <th>80123</th>\n",
       "      <th>80124</th>\n",
       "      <td>1021.0</td>\n",
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       "      <td>1.110767e-16</td>\n",
       "      <td>0.547751</td>\n",
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       "      <td>10.955026</td>\n",
       "      <td>10.955026</td>\n",
       "      <td>12.324404</td>\n",
       "      <td>12.324404</td>\n",
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       "      <th>80124</th>\n",
       "      <th>80125</th>\n",
       "      <td>1021.0</td>\n",
       "      <td>0.512530</td>\n",
       "      <td>1.110767e-16</td>\n",
       "      <td>0.512530</td>\n",
       "      <td>0.512530</td>\n",
       "      <td>0.512530</td>\n",
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       "      <td>120.0</td>\n",
       "      <td>1021.0</td>\n",
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       "      <td>15.375900</td>\n",
       "      <td>18.451081</td>\n",
       "      <td>18.451081</td>\n",
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       "      <th>80125</th>\n",
       "      <th>80126</th>\n",
       "      <td>1021.0</td>\n",
       "      <td>0.332504</td>\n",
       "      <td>5.553836e-17</td>\n",
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       "      <td>9.975122</td>\n",
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       "      <th>80127</th>\n",
       "      <td>1021.0</td>\n",
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       "      <td>4.443068e-16</td>\n",
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       "      <td>0.994773</td>\n",
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       "      <td>1021.0</td>\n",
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       "      <td>19.895470</td>\n",
       "      <td>19.895470</td>\n",
       "      <td>19.895470</td>\n",
       "      <td>22.382403</td>\n",
       "      <td>22.382403</td>\n",
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       "      <td>1021.0</td>\n",
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       "      <th>80129</th>\n",
       "      <th>80130</th>\n",
       "      <td>1021.0</td>\n",
       "      <td>0.522143</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.522143</td>\n",
       "      <td>0.522143</td>\n",
       "      <td>0.522143</td>\n",
       "      <td>0.522143</td>\n",
       "      <td>0.522143</td>\n",
       "      <td>1021.0</td>\n",
       "      <td>110.401567</td>\n",
       "      <td>...</td>\n",
       "      <td>120.0</td>\n",
       "      <td>120.0</td>\n",
       "      <td>1021.0</td>\n",
       "      <td>17.167829</td>\n",
       "      <td>1.565934e+00</td>\n",
       "      <td>15.664301</td>\n",
       "      <td>15.664301</td>\n",
       "      <td>15.664301</td>\n",
       "      <td>18.797161</td>\n",
       "      <td>18.797161</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>80130</th>\n",
       "      <th>80131</th>\n",
       "      <td>1021.0</td>\n",
       "      <td>0.977151</td>\n",
       "      <td>2.221534e-16</td>\n",
       "      <td>0.977151</td>\n",
       "      <td>0.977151</td>\n",
       "      <td>0.977151</td>\n",
       "      <td>0.977151</td>\n",
       "      <td>0.977151</td>\n",
       "      <td>1021.0</td>\n",
       "      <td>110.401567</td>\n",
       "      <td>...</td>\n",
       "      <td>120.0</td>\n",
       "      <td>120.0</td>\n",
       "      <td>1021.0</td>\n",
       "      <td>32.128270</td>\n",
       "      <td>2.930524e+00</td>\n",
       "      <td>29.314534</td>\n",
       "      <td>29.314534</td>\n",
       "      <td>29.314534</td>\n",
       "      <td>35.177441</td>\n",
       "      <td>35.177441</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>80131</th>\n",
       "      <th>80132</th>\n",
       "      <td>1021.0</td>\n",
       "      <td>0.971643</td>\n",
       "      <td>2.221534e-16</td>\n",
       "      <td>0.971643</td>\n",
       "      <td>0.971643</td>\n",
       "      <td>0.971643</td>\n",
       "      <td>0.971643</td>\n",
       "      <td>0.971643</td>\n",
       "      <td>1021.0</td>\n",
       "      <td>139.196866</td>\n",
       "      <td>...</td>\n",
       "      <td>160.0</td>\n",
       "      <td>160.0</td>\n",
       "      <td>1021.0</td>\n",
       "      <td>25.651948</td>\n",
       "      <td>3.642507e+00</td>\n",
       "      <td>21.861969</td>\n",
       "      <td>21.861969</td>\n",
       "      <td>29.149292</td>\n",
       "      <td>29.149292</td>\n",
       "      <td>29.149292</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>80132</th>\n",
       "      <th>80133</th>\n",
       "      <td>1021.0</td>\n",
       "      <td>0.879870</td>\n",
       "      <td>3.332301e-16</td>\n",
       "      <td>0.879870</td>\n",
       "      <td>0.879870</td>\n",
       "      <td>0.879870</td>\n",
       "      <td>0.879870</td>\n",
       "      <td>0.879870</td>\n",
       "      <td>1021.0</td>\n",
       "      <td>110.401567</td>\n",
       "      <td>...</td>\n",
       "      <td>120.0</td>\n",
       "      <td>120.0</td>\n",
       "      <td>1021.0</td>\n",
       "      <td>28.929703</td>\n",
       "      <td>2.638773e+00</td>\n",
       "      <td>26.396092</td>\n",
       "      <td>26.396092</td>\n",
       "      <td>26.396092</td>\n",
       "      <td>31.675310</td>\n",
       "      <td>31.675310</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>80133</th>\n",
       "      <th>80134</th>\n",
       "      <td>1021.0</td>\n",
       "      <td>1.273532</td>\n",
       "      <td>2.221534e-16</td>\n",
       "      <td>1.273532</td>\n",
       "      <td>1.273532</td>\n",
       "      <td>1.273532</td>\n",
       "      <td>1.273532</td>\n",
       "      <td>1.273532</td>\n",
       "      <td>1021.0</td>\n",
       "      <td>230.401567</td>\n",
       "      <td>...</td>\n",
       "      <td>240.0</td>\n",
       "      <td>240.0</td>\n",
       "      <td>1021.0</td>\n",
       "      <td>19.936435</td>\n",
       "      <td>8.680424e-01</td>\n",
       "      <td>19.102987</td>\n",
       "      <td>19.102987</td>\n",
       "      <td>19.102987</td>\n",
       "      <td>20.839622</td>\n",
       "      <td>20.839622</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>80134</th>\n",
       "      <th>80135</th>\n",
       "      <td>1021.0</td>\n",
       "      <td>0.561476</td>\n",
       "      <td>2.221534e-16</td>\n",
       "      <td>0.561476</td>\n",
       "      <td>0.561476</td>\n",
       "      <td>0.561476</td>\n",
       "      <td>0.561476</td>\n",
       "      <td>0.561476</td>\n",
       "      <td>1021.0</td>\n",
       "      <td>110.401567</td>\n",
       "      <td>...</td>\n",
       "      <td>120.0</td>\n",
       "      <td>120.0</td>\n",
       "      <td>1021.0</td>\n",
       "      <td>18.461071</td>\n",
       "      <td>1.683894e+00</td>\n",
       "      <td>16.844283</td>\n",
       "      <td>16.844283</td>\n",
       "      <td>16.844283</td>\n",
       "      <td>20.213140</td>\n",
       "      <td>20.213140</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>80135</th>\n",
       "      <th>80136</th>\n",
       "      <td>1021.0</td>\n",
       "      <td>1.098758</td>\n",
       "      <td>2.221534e-16</td>\n",
       "      <td>1.098758</td>\n",
       "      <td>1.098758</td>\n",
       "      <td>1.098758</td>\n",
       "      <td>1.098758</td>\n",
       "      <td>1.098758</td>\n",
       "      <td>1021.0</td>\n",
       "      <td>170.401567</td>\n",
       "      <td>...</td>\n",
       "      <td>180.0</td>\n",
       "      <td>180.0</td>\n",
       "      <td>1021.0</td>\n",
       "      <td>23.293455</td>\n",
       "      <td>1.373012e+00</td>\n",
       "      <td>21.975161</td>\n",
       "      <td>21.975161</td>\n",
       "      <td>21.975161</td>\n",
       "      <td>24.722056</td>\n",
       "      <td>24.722056</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>80136</th>\n",
       "      <th>80137</th>\n",
       "      <td>999.0</td>\n",
       "      <td>0.963716</td>\n",
       "      <td>1.110779e-16</td>\n",
       "      <td>0.963716</td>\n",
       "      <td>0.963716</td>\n",
       "      <td>0.963716</td>\n",
       "      <td>0.963716</td>\n",
       "      <td>0.963716</td>\n",
       "      <td>999.0</td>\n",
       "      <td>110.390390</td>\n",
       "      <td>...</td>\n",
       "      <td>120.0</td>\n",
       "      <td>120.0</td>\n",
       "      <td>999.0</td>\n",
       "      <td>31.689751</td>\n",
       "      <td>2.890390e+00</td>\n",
       "      <td>28.911472</td>\n",
       "      <td>28.911472</td>\n",
       "      <td>28.911472</td>\n",
       "      <td>34.693766</td>\n",
       "      <td>34.693766</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>80137</th>\n",
       "      <th>80138</th>\n",
       "      <td>999.0</td>\n",
       "      <td>0.725943</td>\n",
       "      <td>1.110779e-16</td>\n",
       "      <td>0.725943</td>\n",
       "      <td>0.725943</td>\n",
       "      <td>0.725943</td>\n",
       "      <td>0.725943</td>\n",
       "      <td>0.725943</td>\n",
       "      <td>999.0</td>\n",
       "      <td>50.390390</td>\n",
       "      <td>...</td>\n",
       "      <td>60.0</td>\n",
       "      <td>60.0</td>\n",
       "      <td>999.0</td>\n",
       "      <td>54.020643</td>\n",
       "      <td>1.088630e+01</td>\n",
       "      <td>43.556596</td>\n",
       "      <td>43.556596</td>\n",
       "      <td>43.556596</td>\n",
       "      <td>65.334894</td>\n",
       "      <td>65.334894</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>80138</th>\n",
       "      <th>80139</th>\n",
       "      <td>999.0</td>\n",
       "      <td>0.892721</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.892721</td>\n",
       "      <td>0.892721</td>\n",
       "      <td>0.892721</td>\n",
       "      <td>0.892721</td>\n",
       "      <td>0.892721</td>\n",
       "      <td>999.0</td>\n",
       "      <td>240.000000</td>\n",
       "      <td>...</td>\n",
       "      <td>240.0</td>\n",
       "      <td>240.0</td>\n",
       "      <td>999.0</td>\n",
       "      <td>13.390820</td>\n",
       "      <td>3.554493e-15</td>\n",
       "      <td>13.390820</td>\n",
       "      <td>13.390820</td>\n",
       "      <td>13.390820</td>\n",
       "      <td>13.390820</td>\n",
       "      <td>13.390820</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>18 rows × 24 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "                         distance                                              \\\n",
       "                            count      mean           std       min       25%   \n",
       "origin_id destination_id                                                        \n",
       "80121     80123            1021.0  0.910273  2.221534e-16  0.910273  0.910273   \n",
       "80122     80121            1021.0  0.685952  1.110767e-16  0.685952  0.685952   \n",
       "80123     80124            1021.0  0.547751  1.110767e-16  0.547751  0.547751   \n",
       "80124     80125            1021.0  0.512530  1.110767e-16  0.512530  0.512530   \n",
       "80125     80126            1021.0  0.332504  5.553836e-17  0.332504  0.332504   \n",
       "80126     80127            1021.0  0.994773  4.443068e-16  0.994773  0.994773   \n",
       "80127     80128            1021.0  1.526340  2.221534e-16  1.526340  1.526340   \n",
       "80128     80129            1021.0  0.638851  0.000000e+00  0.638851  0.638851   \n",
       "80129     80130            1021.0  0.522143  0.000000e+00  0.522143  0.522143   \n",
       "80130     80131            1021.0  0.977151  2.221534e-16  0.977151  0.977151   \n",
       "80131     80132            1021.0  0.971643  2.221534e-16  0.971643  0.971643   \n",
       "80132     80133            1021.0  0.879870  3.332301e-16  0.879870  0.879870   \n",
       "80133     80134            1021.0  1.273532  2.221534e-16  1.273532  1.273532   \n",
       "80134     80135            1021.0  0.561476  2.221534e-16  0.561476  0.561476   \n",
       "80135     80136            1021.0  1.098758  2.221534e-16  1.098758  1.098758   \n",
       "80136     80137             999.0  0.963716  1.110779e-16  0.963716  0.963716   \n",
       "80137     80138             999.0  0.725943  1.110779e-16  0.725943  0.725943   \n",
       "80138     80139             999.0  0.892721  0.000000e+00  0.892721  0.892721   \n",
       "\n",
       "                                                       duration              \\\n",
       "                               50%       75%       max    count        mean   \n",
       "origin_id destination_id                                                      \n",
       "80121     80123           0.910273  0.910273  0.910273   1021.0  230.401567   \n",
       "80122     80121           0.685952  0.685952  0.685952   1021.0  177.747307   \n",
       "80123     80124           0.547751  0.547751  0.547751   1021.0  170.401567   \n",
       "80124     80125           0.512530  0.512530  0.512530   1021.0  110.401567   \n",
       "80125     80126           0.332504  0.332504  0.332504   1021.0  110.401567   \n",
       "80126     80127           0.994773  0.994773  0.994773   1021.0  170.401567   \n",
       "80127     80128           1.526340  1.526340  1.526340   1021.0  230.401567   \n",
       "80128     80129           0.638851  0.638851  0.638851   1021.0  110.401567   \n",
       "80129     80130           0.522143  0.522143  0.522143   1021.0  110.401567   \n",
       "80130     80131           0.977151  0.977151  0.977151   1021.0  110.401567   \n",
       "80131     80132           0.971643  0.971643  0.971643   1021.0  139.196866   \n",
       "80132     80133           0.879870  0.879870  0.879870   1021.0  110.401567   \n",
       "80133     80134           1.273532  1.273532  1.273532   1021.0  230.401567   \n",
       "80134     80135           0.561476  0.561476  0.561476   1021.0  110.401567   \n",
       "80135     80136           1.098758  1.098758  1.098758   1021.0  170.401567   \n",
       "80136     80137           0.963716  0.963716  0.963716    999.0  110.390390   \n",
       "80137     80138           0.725943  0.725943  0.725943    999.0   50.390390   \n",
       "80138     80139           0.892721  0.892721  0.892721    999.0  240.000000   \n",
       "\n",
       "                            ...                     speed             \\\n",
       "                            ...        75%    max   count       mean   \n",
       "origin_id destination_id    ...                                        \n",
       "80121     80123             ...      240.0  240.0  1021.0  14.249816   \n",
       "80122     80121             ...      180.0  240.0  1021.0  14.122148   \n",
       "80123     80124             ...      180.0  180.0  1021.0  11.612220   \n",
       "80124     80125             ...      120.0  120.0  1021.0  16.851746   \n",
       "80125     80126             ...      120.0  120.0  1021.0  10.932578   \n",
       "80126     80127             ...      180.0  180.0  1021.0  21.089003   \n",
       "80127     80128             ...      240.0  240.0  1021.0  23.893999   \n",
       "80128     80129             ...      120.0  120.0  1021.0  21.005114   \n",
       "80129     80130             ...      120.0  120.0  1021.0  17.167829   \n",
       "80130     80131             ...      120.0  120.0  1021.0  32.128270   \n",
       "80131     80132             ...      160.0  160.0  1021.0  25.651948   \n",
       "80132     80133             ...      120.0  120.0  1021.0  28.929703   \n",
       "80133     80134             ...      240.0  240.0  1021.0  19.936435   \n",
       "80134     80135             ...      120.0  120.0  1021.0  18.461071   \n",
       "80135     80136             ...      180.0  180.0  1021.0  23.293455   \n",
       "80136     80137             ...      120.0  120.0   999.0  31.689751   \n",
       "80137     80138             ...       60.0   60.0   999.0  54.020643   \n",
       "80138     80139             ...      240.0  240.0   999.0  13.390820   \n",
       "\n",
       "                                                                         \\\n",
       "                                   std        min        25%        50%   \n",
       "origin_id destination_id                                                  \n",
       "80121     80123           6.204441e-01  13.654098  13.654098  13.654098   \n",
       "80122     80121           1.640630e+00  10.289281  13.719042  13.719042   \n",
       "80123     80124           6.844721e-01  10.955026  10.955026  10.955026   \n",
       "80124     80125           1.537103e+00  15.375900  15.375900  15.375900   \n",
       "80125     80126           9.971961e-01   9.975122   9.975122   9.975122   \n",
       "80126     80127           1.243073e+00  19.895470  19.895470  19.895470   \n",
       "80127     80128           1.040357e+00  22.895103  22.895103  22.895103   \n",
       "80128     80129           1.915945e+00  19.165524  19.165524  19.165524   \n",
       "80129     80130           1.565934e+00  15.664301  15.664301  15.664301   \n",
       "80130     80131           2.930524e+00  29.314534  29.314534  29.314534   \n",
       "80131     80132           3.642507e+00  21.861969  21.861969  29.149292   \n",
       "80132     80133           2.638773e+00  26.396092  26.396092  26.396092   \n",
       "80133     80134           8.680424e-01  19.102987  19.102987  19.102987   \n",
       "80134     80135           1.683894e+00  16.844283  16.844283  16.844283   \n",
       "80135     80136           1.373012e+00  21.975161  21.975161  21.975161   \n",
       "80136     80137           2.890390e+00  28.911472  28.911472  28.911472   \n",
       "80137     80138           1.088630e+01  43.556596  43.556596  43.556596   \n",
       "80138     80139           3.554493e-15  13.390820  13.390820  13.390820   \n",
       "\n",
       "                                                \n",
       "                                75%        max  \n",
       "origin_id destination_id                        \n",
       "80121     80123           14.895380  14.895380  \n",
       "80122     80121           15.433922  15.433922  \n",
       "80123     80124           12.324404  12.324404  \n",
       "80124     80125           18.451081  18.451081  \n",
       "80125     80126           11.970147  11.970147  \n",
       "80126     80127           22.382403  22.382403  \n",
       "80127     80128           24.976476  24.976476  \n",
       "80128     80129           22.998628  22.998628  \n",
       "80129     80130           18.797161  18.797161  \n",
       "80130     80131           35.177441  35.177441  \n",
       "80131     80132           29.149292  29.149292  \n",
       "80132     80133           31.675310  31.675310  \n",
       "80133     80134           20.839622  20.839622  \n",
       "80134     80135           20.213140  20.213140  \n",
       "80135     80136           24.722056  24.722056  \n",
       "80136     80137           34.693766  34.693766  \n",
       "80137     80138           65.334894  65.334894  \n",
       "80138     80139           13.390820  13.390820  \n",
       "\n",
       "[18 rows x 24 columns]"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "route_id = '806'\n",
    "direction_id = 1.0\n",
    "\n",
    "trip_ids = gtfs.trips[(gtfs.trips['route_id'] == route_id) & (gtfs.trips['direction_id'] == direction_id)]['trip_id']\n",
    "p = Pool(8)\n",
    "segments = reduce(lambda x, y: x + y, p.map(tripToSegments, trip_ids))\n",
    "segmentsDF = pandas.DataFrame(segments).groupby(['origin_id', 'destination_id']).describe()\n",
    "segmentsDF"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "And finally we plot the route where the width of the line is the speed between each stop pair. The Expo Line really is much slower into downtown than along the rest of the line."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
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      ],
      "text/plain": [
       "<folium.folium.Map at 0x110bbeb00>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "foliumMap = folium.Map(location=[34, -118], zoom_start=9)\n",
    "segmentsDF.apply(plotSegment, axis=1)\n",
    "foliumMap"
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  }
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