{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Data analysis: Velib"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Author: O. Roustant, INSA Toulouse. February 2022.\n",
    "\n",
    "\n",
    "We consider the ‘Vélib’ data set, related to the bike sharing system of Paris. The data are loading profiles of the bike stations over one week, collected every hour, from the period Monday 2nd Sept. - Sunday 7th Sept., 2014. The loading profile of a station, or simply loading, is defined as the ratio of number of available bikes divided by the number of bike docks. A loading of 1 means that the station is fully loaded, i.e. all bikes are available. A loading of 0 means that the station is empty, all bikes have been rent.\n",
    "\n",
    "From the viewpoint of data analysis, the individuals are the stations. The variables are the 168 time steps (hours in the week). The aim is to detect clusters in the data, corresponding to common customer usages. This clustering should then be used to predict the loading profile."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Loading required package: MASS\n",
      "\n",
      "Loading required package: fda\n",
      "\n",
      "Loading required package: splines\n",
      "\n",
      "Loading required package: Matrix\n",
      "\n",
      "Loading required package: fds\n",
      "\n",
      "Loading required package: rainbow\n",
      "\n",
      "Loading required package: pcaPP\n",
      "\n",
      "Loading required package: RCurl\n",
      "\n",
      "\n",
      "Attaching package: ‘fda’\n",
      "\n",
      "\n",
      "The following object is masked from ‘package:graphics’:\n",
      "\n",
      "    matplot\n",
      "\n",
      "\n",
      "Loading required package: elasticnet\n",
      "\n",
      "Loading required package: lars\n",
      "\n",
      "Loaded lars 1.2\n",
      "\n",
      "\n"
     ]
    }
   ],
   "source": [
    "rm(list = ls())   # erase everything, start from scratch!\n",
    "\n",
    "# load the data from package funFEM\n",
    "\n",
    "library(funFEM)\n",
    "data(velib)\n",
    "help(\"velib\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# data preparation\n",
    "x <- as.matrix(velib$data)\n",
    "colnames(x) <- 1:ncol(x)\n",
    "rownames(x) <- velib$names\n",
    "\n",
    "n <- nrow(x)\n",
    "stations <- 1:n \n",
    "coord <- velib$position[stations,]\n",
    "\n",
    "# select exactly 7 days of data (we remove the first 13 dates)\n",
    "dates <- 14:181\n",
    "x <- x[stations, dates]\n",
    "colnames(x) <- 1:length(dates)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
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YIGo5QvwTSULwEOwEwEJ2O9fBiF8iWYhvIl2Ev9VHrKlxADt1sVFRo16tA9dXWS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\nfq7J/4qK9M03Csqxhw6HIy8vr1u3bkYXYrCUFJWWKjfX4xuvKvv3a9cun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      "text/plain": [
       "Plot with title “ EURYALE DEHAYNIN”"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 360,
       "width": 900
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "timeTick <- 1 + 24*(0:6)  # vector corresponding to the beginning of days\n",
    "par(mfrow = c(1, 1))\n",
    "\n",
    "options(repr.plot.width = 15, repr.plot.height = 6)\n",
    "\n",
    "plot(x[1, ], col = \"blue\", type = \"l\", ylim = c(0, 1), \n",
    "     xlab = \"Time\", ylab = \"Loading\", main = rownames(x)[1])\n",
    "abline(v = timeTick, lty = \"dotted\")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "# From now on, we use numbers instead of station names, \n",
    "# in order to simplify printing\n",
    "rownames(x) <- 1:nrow(x)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Descriptive statistics.\n",
    "\n",
    "Some ideas : \n",
    "\n",
    "1. Draw a matrix of plots of size 4*4, corresponding to the first 16 stations. (Do not forget the vertical lines corresponding to days).\n",
    "2. Draw the boxplot of the variables, sorted in time order. \n",
    "What can you say about the distribution of the variables? \n",
    "Position, dispersion, symmetry? Can you see a difference between days?\n",
    "3. Plot the average hourly loading for each day (on a single graph).\n",
    "Comments? \n",
    "4. Plot the stations coordinates on a 2D map (latitude versus longitude). Use the package ggmap (function 'qmplot') to visualize the average loading for a given hour (6h, 12h, 23h) as a color scale.\n",
    "Comments ?\n",
    "5. Use a different color for stations which are located on a hill. (Use the basis 'plot' function, and the function 'qmplot' of R package ggmap).\n",
    "6. Redo questions 1-3 for the subset of stations which are located on a hill. Same questions for those who are not. Comment?"
   ]
  }
 ],
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   "display_name": "R",
   "language": "R",
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