Europe-Happiness.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Europe Happiness ##"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In this notebook we visualize Europe countries happiness scores. Data are retrieved  from [World Happiness Report 2016](http://worldhappiness.report/wp-content/uploads/sites/2/2016/03/HR-V1_web.pdf).\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.cm as cm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
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       "<div>\n",
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       "    .dataframe tbody tr th:only-of-type {\n",
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       "\n",
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       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
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       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Country</th>\n",
       "      <th>World-Rank</th>\n",
       "      <th>Score</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>Denmark</td>\n",
       "      <td>1</td>\n",
       "      <td>7.526</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>Switzerland</td>\n",
       "      <td>2</td>\n",
       "      <td>7.509</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>Iceland</td>\n",
       "      <td>3</td>\n",
       "      <td>7.501</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>Norway</td>\n",
       "      <td>4</td>\n",
       "      <td>7.498</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>Finland</td>\n",
       "      <td>5</td>\n",
       "      <td>7.413</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
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      "text/plain": [
       "       Country  World-Rank  Score\n",
       "0      Denmark           1  7.526\n",
       "1  Switzerland           2  7.509\n",
       "2      Iceland           3  7.501\n",
       "3       Norway           4  7.498\n",
       "4      Finland           5  7.413"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df = pd.read_excel('Data/Europe-Happiness.xlsx')\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "N = len(df)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "score = df['Score'].values\n",
    "country = list(df.Country)\n",
    "country[13] = 'U Kingdom'\n",
    "country[14] = 'Czech Rep'\n",
    "country[38] = 'Bosn Herzeg'\n",
    "world_rk = list(df['World-Rank'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "import plotly.plotly as py\n",
    "import plotly.graph_objs as go"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Function that maps a normalized happiness score to a color in a given matplotlib  colormap:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "def map_z2color(val, colormap, vmin, vmax):\n",
    "    #map the normalized value val to a corresponding color in the mpl colormap\n",
    "    \n",
    "    if vmin >= vmax:\n",
    "        raise ValueError('incorrect relation between vmin and vmax')\n",
    "    t = (val-vmin) / (vmax-vmin) #normalize val\n",
    "    C = (np.array(colormap(t)[:3])*255).astype(np.uint8)\n",
    "    #convert to a Plotly color code:\n",
    "    return f'rgb{tuple(C)}'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "def set_layout(title, plot_size):# set plot layout\n",
    "\n",
    "    return go.Layout(title=title,\n",
    "                     font=dict(size=12), \n",
    "                     xaxis=dict(visible=False, range=[-3.5, 4]),\n",
    "                     yaxis=dict(visible=False, range=[-4.5, 3.5]),\n",
    "                     showlegend=False,\n",
    "                     width=plot_size,\n",
    "                     height=plot_size,\n",
    "                     hovermode='closest')  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "def set_annotation(x, y, anno_text,  angle, fontsize=11): # annotations\n",
    "    return dict(x= x,  \n",
    "                y= y,       \n",
    "                text= anno_text,      \n",
    "                textangle=angle, # angle in degrees \n",
    "                font=dict(size=fontsize),  \n",
    "                showarrow=False     \n",
    "                     ) "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We visualize  countries happiness through a circular barchart. The height of each bar is proportional to the corresponding happiness score:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "bar_height = [score[k]/4.75 for k in range(N)]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The bars are inserted along the unit circle, starting with the angular position $\\pi/2$, in the anti-clockwise direction: "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "theta = [np.pi/2+(2*k+1)*np.pi/72  for k in range(N)] # angular position of base bar centers"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "xi = [np.cos(theta[k]) for k in range(N)]# starting bar position\n",
    "yi = [np.sin(theta[k]) for k in range(N)]\n",
    "\n",
    "\n",
    "xf = [(bar_height[k]+1)*np.cos(theta[k]) for k in range(N)]#end bar position\n",
    "yf = [(bar_height[k]+1)*np.sin(theta[k]) for k in range(N)]\n",
    "\n",
    "xm = [(xi[k]+xf[k])*0.5   for k in range(N)]#mid bar position for inserting hovering text\n",
    "ym = [(yi[k]+yf[k])*0.5   for k in range(N)]\n",
    "\n",
    "xpos_t = [(bar_height[k]+1.32)*np.cos(theta[k]) for k in range(N)]#text position\n",
    "ypos_t = [(bar_height[k]+1.32)*np.sin(theta[k]) for k in range(N)]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The decreased level of happiness is illustrated through  the Viridis colormap:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.cm as cm\n",
    "cmap = cm.viridis"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "vmin = score[-1]\n",
    "vmax = score[0]\n",
    "bar_colors = [map_z2color(score[k], cmap, score[-1], score[0]) for k in range(N)]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Define the hover text:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "text = [f'{country[k]}<br>Score: {round(score[k],3)}<br>World rank: {world_rk[k]}'  for  k in range(len(score))]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Set position of the hover text inside bars:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "trace = go.Scatter(x=xm,\n",
    "                   y=ym,\n",
    "                   name='',\n",
    "                   mode='markers' ,\n",
    "                   marker=dict(size=0.05, color=bar_colors[15]),\n",
    "                   text=text,\n",
    "                   hoverinfo='text')\n",
    "tracet = go.Scatter(x=xf,\n",
    "                    y=yf,\n",
    "                    name='',\n",
    "                    mode='markers' ,\n",
    "                    marker=dict(size=0.05, color=bar_colors[15]), \n",
    "                    text=text,\n",
    "                    hoverinfo='text')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "traceB = [go.Scatter(x=[xi[k], xf[k], None], # Circular bars are drawn as lines of width 9\n",
    "                     y=[yi[k], yf[k], None], \n",
    "                     mode='lines', \n",
    "                     line=dict(color=bar_colors[k], width=9.6),\n",
    "                     hoverinfo='none')  for k in range(N)]\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "title = \"Europe Happiness Score and Global Ranking\"+\\\n",
    "\"<br>Data: World Happiness Report, 2016\"+\\\n",
    "\"<a href='http://worldhappiness.report/wp-content/uploads/sites/2/2016/03/HR-V1_web.pdf'> [1]</a>\"\n",
    "layout = set_layout('', 900)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "annotext_angle = [(-(180*np.arctan(yi[k]/xi[k])/np.pi)) for k in range(N)]# angles in degrees, computed following \n",
    "                                                                          #Plotly reversed trigonometric rule"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Define and insert annotations in plot layout:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "annot = []\n",
    "for k in range(N):\n",
    "    annot += [set_annotation(xpos_t[k], ypos_t[k], country[k],  annotext_angle[k],  fontsize=10)]\n",
    "annot += [set_annotation(0.5, 0.1, title, 0 ) ]    "
   ]
  },
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   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
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   "source": [
    "fig = go.FigureWidget(data=traceB+[trace, tracet], layout=layout)"
   ]
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    "fig.layout.update(annotations=annot,\n",
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