{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# statsmodels Principal Component Analysis"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "*Key ideas:* Principal component analysis, world bank data, fertility\n",
    "\n",
    "In this notebook, we use principal components analysis (PCA) to analyze the time series of fertility rates in 192 countries, using data obtained from the World Bank.  The main goal is to understand how the trends in fertility over time differ from country to country.  This is a slightly atypical illustration of PCA because the data are time series.  Methods such as functional PCA have been developed for this setting, but since the fertility data are very smooth, there is no real disadvantage to using standard PCA in this case."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "execution": {
 
 
 
 
    },
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "import statsmodels.api as sm\n",
    "from statsmodels.multivariate.pca import PCA\n",
    "\n",
    "plt.rc(\"figure\", figsize=(16, 8))\n",
    "plt.rc(\"font\", size=14)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The data can be obtained from the [World Bank web site](http://data.worldbank.org/indicator/SP.DYN.TFRT.IN), but here we work with a slightly cleaned-up version of the data:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "execution": {
 
 
 
 
    },
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
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       "\n",
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       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Country Name</th>\n",
       "      <th>Country Code</th>\n",
       "      <th>Indicator Name</th>\n",
       "      <th>Indicator Code</th>\n",
       "      <th>1960</th>\n",
       "      <th>1961</th>\n",
       "      <th>1962</th>\n",
       "      <th>1963</th>\n",
       "      <th>1964</th>\n",
       "      <th>1965</th>\n",
       "      <th>...</th>\n",
       "      <th>2004</th>\n",
       "      <th>2005</th>\n",
       "      <th>2006</th>\n",
       "      <th>2007</th>\n",
       "      <th>2008</th>\n",
       "      <th>2009</th>\n",
       "      <th>2010</th>\n",
       "      <th>2011</th>\n",
       "      <th>2012</th>\n",
       "      <th>2013</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>Aruba</td>\n",
       "      <td>ABW</td>\n",
       "      <td>Fertility rate, total (births per woman)</td>\n",
       "      <td>SP.DYN.TFRT.IN</td>\n",
       "      <td>4.820</td>\n",
       "      <td>4.655</td>\n",
       "      <td>4.471</td>\n",
       "      <td>4.271</td>\n",
       "      <td>4.059</td>\n",
       "      <td>3.842</td>\n",
       "      <td>...</td>\n",
       "      <td>1.786</td>\n",
       "      <td>1.769</td>\n",
       "      <td>1.754</td>\n",
       "      <td>1.739</td>\n",
       "      <td>1.726</td>\n",
       "      <td>1.713</td>\n",
       "      <td>1.701</td>\n",
       "      <td>1.690</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>Andorra</td>\n",
       "      <td>AND</td>\n",
       "      <td>Fertility rate, total (births per woman)</td>\n",
       "      <td>SP.DYN.TFRT.IN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.240</td>\n",
       "      <td>1.180</td>\n",
       "      <td>1.250</td>\n",
       "      <td>1.190</td>\n",
       "      <td>1.220</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>Afghanistan</td>\n",
       "      <td>AFG</td>\n",
       "      <td>Fertility rate, total (births per woman)</td>\n",
       "      <td>SP.DYN.TFRT.IN</td>\n",
       "      <td>7.671</td>\n",
       "      <td>7.671</td>\n",
       "      <td>7.671</td>\n",
       "      <td>7.671</td>\n",
       "      <td>7.671</td>\n",
       "      <td>7.671</td>\n",
       "      <td>...</td>\n",
       "      <td>7.136</td>\n",
       "      <td>6.930</td>\n",
       "      <td>6.702</td>\n",
       "      <td>6.456</td>\n",
       "      <td>6.196</td>\n",
       "      <td>5.928</td>\n",
       "      <td>5.659</td>\n",
       "      <td>5.395</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>Angola</td>\n",
       "      <td>AGO</td>\n",
       "      <td>Fertility rate, total (births per woman)</td>\n",
       "      <td>SP.DYN.TFRT.IN</td>\n",
       "      <td>7.316</td>\n",
       "      <td>7.354</td>\n",
       "      <td>7.385</td>\n",
       "      <td>7.410</td>\n",
       "      <td>7.425</td>\n",
       "      <td>7.430</td>\n",
       "      <td>...</td>\n",
       "      <td>6.704</td>\n",
       "      <td>6.657</td>\n",
       "      <td>6.598</td>\n",
       "      <td>6.523</td>\n",
       "      <td>6.434</td>\n",
       "      <td>6.331</td>\n",
       "      <td>6.218</td>\n",
       "      <td>6.099</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>Albania</td>\n",
       "      <td>ALB</td>\n",
       "      <td>Fertility rate, total (births per woman)</td>\n",
       "      <td>SP.DYN.TFRT.IN</td>\n",
       "      <td>6.186</td>\n",
       "      <td>6.076</td>\n",
       "      <td>5.956</td>\n",
       "      <td>5.833</td>\n",
       "      <td>5.711</td>\n",
       "      <td>5.594</td>\n",
       "      <td>...</td>\n",
       "      <td>2.004</td>\n",
       "      <td>1.919</td>\n",
       "      <td>1.849</td>\n",
       "      <td>1.796</td>\n",
       "      <td>1.761</td>\n",
       "      <td>1.744</td>\n",
       "      <td>1.741</td>\n",
       "      <td>1.748</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>5 rows × 58 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "  Country Name Country Code                            Indicator Name  \\\n",
       "0        Aruba          ABW  Fertility rate, total (births per woman)   \n",
       "1      Andorra          AND  Fertility rate, total (births per woman)   \n",
       "2  Afghanistan          AFG  Fertility rate, total (births per woman)   \n",
       "3       Angola          AGO  Fertility rate, total (births per woman)   \n",
       "4      Albania          ALB  Fertility rate, total (births per woman)   \n",
       "\n",
       "   Indicator Code   1960   1961   1962   1963   1964   1965  ...   2004  \\\n",
       "0  SP.DYN.TFRT.IN  4.820  4.655  4.471  4.271  4.059  3.842  ...  1.786   \n",
       "1  SP.DYN.TFRT.IN    NaN    NaN    NaN    NaN    NaN    NaN  ...    NaN   \n",
       "2  SP.DYN.TFRT.IN  7.671  7.671  7.671  7.671  7.671  7.671  ...  7.136   \n",
       "3  SP.DYN.TFRT.IN  7.316  7.354  7.385  7.410  7.425  7.430  ...  6.704   \n",
       "4  SP.DYN.TFRT.IN  6.186  6.076  5.956  5.833  5.711  5.594  ...  2.004   \n",
       "\n",
       "    2005   2006   2007   2008   2009   2010   2011  2012  2013  \n",
       "0  1.769  1.754  1.739  1.726  1.713  1.701  1.690   NaN   NaN  \n",
       "1    NaN  1.240  1.180  1.250  1.190  1.220    NaN   NaN   NaN  \n",
       "2  6.930  6.702  6.456  6.196  5.928  5.659  5.395   NaN   NaN  \n",
       "3  6.657  6.598  6.523  6.434  6.331  6.218  6.099   NaN   NaN  \n",
       "4  1.919  1.849  1.796  1.761  1.744  1.741  1.748   NaN   NaN  \n",
       "\n",
       "[5 rows x 58 columns]"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data = sm.datasets.fertility.load_pandas().data\n",
    "data.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here we construct a DataFrame that contains only the numerical fertility rate data and set the index to the country names.  We also drop all the countries with any missing data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "execution": {
 
 
 
 
    },
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>1960</th>\n",
       "      <th>1961</th>\n",
       "      <th>1962</th>\n",
       "      <th>1963</th>\n",
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       "      <th>...</th>\n",
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       "      <th>2010</th>\n",
       "      <th>2011</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Country Name</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
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       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>Aruba</th>\n",
       "      <td>4.820</td>\n",
       "      <td>4.655</td>\n",
       "      <td>4.471</td>\n",
       "      <td>4.271</td>\n",
       "      <td>4.059</td>\n",
       "      <td>3.842</td>\n",
       "      <td>3.625</td>\n",
       "      <td>3.417</td>\n",
       "      <td>3.226</td>\n",
       "      <td>3.054</td>\n",
       "      <td>...</td>\n",
       "      <td>1.825</td>\n",
       "      <td>1.805</td>\n",
       "      <td>1.786</td>\n",
       "      <td>1.769</td>\n",
       "      <td>1.754</td>\n",
       "      <td>1.739</td>\n",
       "      <td>1.726</td>\n",
       "      <td>1.713</td>\n",
       "      <td>1.701</td>\n",
       "      <td>1.690</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Afghanistan</th>\n",
       "      <td>7.671</td>\n",
       "      <td>7.671</td>\n",
       "      <td>7.671</td>\n",
       "      <td>7.671</td>\n",
       "      <td>7.671</td>\n",
       "      <td>7.671</td>\n",
       "      <td>7.671</td>\n",
       "      <td>7.671</td>\n",
       "      <td>7.671</td>\n",
       "      <td>7.671</td>\n",
       "      <td>...</td>\n",
       "      <td>7.484</td>\n",
       "      <td>7.321</td>\n",
       "      <td>7.136</td>\n",
       "      <td>6.930</td>\n",
       "      <td>6.702</td>\n",
       "      <td>6.456</td>\n",
       "      <td>6.196</td>\n",
       "      <td>5.928</td>\n",
       "      <td>5.659</td>\n",
       "      <td>5.395</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Angola</th>\n",
       "      <td>7.316</td>\n",
       "      <td>7.354</td>\n",
       "      <td>7.385</td>\n",
       "      <td>7.410</td>\n",
       "      <td>7.425</td>\n",
       "      <td>7.430</td>\n",
       "      <td>7.422</td>\n",
       "      <td>7.403</td>\n",
       "      <td>7.375</td>\n",
       "      <td>7.339</td>\n",
       "      <td>...</td>\n",
       "      <td>6.778</td>\n",
       "      <td>6.743</td>\n",
       "      <td>6.704</td>\n",
       "      <td>6.657</td>\n",
       "      <td>6.598</td>\n",
       "      <td>6.523</td>\n",
       "      <td>6.434</td>\n",
       "      <td>6.331</td>\n",
       "      <td>6.218</td>\n",
       "      <td>6.099</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Albania</th>\n",
       "      <td>6.186</td>\n",
       "      <td>6.076</td>\n",
       "      <td>5.956</td>\n",
       "      <td>5.833</td>\n",
       "      <td>5.711</td>\n",
       "      <td>5.594</td>\n",
       "      <td>5.483</td>\n",
       "      <td>5.376</td>\n",
       "      <td>5.268</td>\n",
       "      <td>5.160</td>\n",
       "      <td>...</td>\n",
       "      <td>2.195</td>\n",
       "      <td>2.097</td>\n",
       "      <td>2.004</td>\n",
       "      <td>1.919</td>\n",
       "      <td>1.849</td>\n",
       "      <td>1.796</td>\n",
       "      <td>1.761</td>\n",
       "      <td>1.744</td>\n",
       "      <td>1.741</td>\n",
       "      <td>1.748</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>United Arab Emirates</th>\n",
       "      <td>6.928</td>\n",
       "      <td>6.910</td>\n",
       "      <td>6.893</td>\n",
       "      <td>6.877</td>\n",
       "      <td>6.861</td>\n",
       "      <td>6.841</td>\n",
       "      <td>6.816</td>\n",
       "      <td>6.783</td>\n",
       "      <td>6.738</td>\n",
       "      <td>6.679</td>\n",
       "      <td>...</td>\n",
       "      <td>2.428</td>\n",
       "      <td>2.329</td>\n",
       "      <td>2.236</td>\n",
       "      <td>2.149</td>\n",
       "      <td>2.071</td>\n",
       "      <td>2.004</td>\n",
       "      <td>1.948</td>\n",
       "      <td>1.903</td>\n",
       "      <td>1.868</td>\n",
       "      <td>1.841</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>5 rows × 52 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "                       1960   1961   1962   1963   1964   1965   1966   1967  \\\n",
       "Country Name                                                                   \n",
       "Aruba                 4.820  4.655  4.471  4.271  4.059  3.842  3.625  3.417   \n",
       "Afghanistan           7.671  7.671  7.671  7.671  7.671  7.671  7.671  7.671   \n",
       "Angola                7.316  7.354  7.385  7.410  7.425  7.430  7.422  7.403   \n",
       "Albania               6.186  6.076  5.956  5.833  5.711  5.594  5.483  5.376   \n",
       "United Arab Emirates  6.928  6.910  6.893  6.877  6.861  6.841  6.816  6.783   \n",
       "\n",
       "                       1968   1969  ...   2002   2003   2004   2005   2006  \\\n",
       "Country Name                        ...                                      \n",
       "Aruba                 3.226  3.054  ...  1.825  1.805  1.786  1.769  1.754   \n",
       "Afghanistan           7.671  7.671  ...  7.484  7.321  7.136  6.930  6.702   \n",
       "Angola                7.375  7.339  ...  6.778  6.743  6.704  6.657  6.598   \n",
       "Albania               5.268  5.160  ...  2.195  2.097  2.004  1.919  1.849   \n",
       "United Arab Emirates  6.738  6.679  ...  2.428  2.329  2.236  2.149  2.071   \n",
       "\n",
       "                       2007   2008   2009   2010   2011  \n",
       "Country Name                                             \n",
       "Aruba                 1.739  1.726  1.713  1.701  1.690  \n",
       "Afghanistan           6.456  6.196  5.928  5.659  5.395  \n",
       "Angola                6.523  6.434  6.331  6.218  6.099  \n",
       "Albania               1.796  1.761  1.744  1.741  1.748  \n",
       "United Arab Emirates  2.004  1.948  1.903  1.868  1.841  \n",
       "\n",
       "[5 rows x 52 columns]"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "columns = list(map(str, range(1960, 2012)))\n",
    "data.set_index(\"Country Name\", inplace=True)\n",
    "dta = data[columns]\n",
    "dta = dta.dropna()\n",
    "dta.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "There are two ways to use PCA to analyze a rectangular matrix: we can treat the rows as the \"objects\" and the columns as the \"variables\", or vice-versa.  Here we will treat the fertility measures as \"variables\" used to measure the countries as \"objects\".  Thus the goal will be to reduce the yearly fertility rate values to a small number of fertility rate \"profiles\" or \"basis functions\" that capture most of the variation over time in the different countries."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The mean trend is removed in PCA, but its worthwhile taking a look at it.  It shows that fertility has dropped steadily over the time period covered in this dataset.  Note that the mean is calculated using a country as the unit of analysis, ignoring population size.  This is also true for the PC analysis conducted below.  A more sophisticated analysis might weight the countries, say by population in 1980."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "execution": {
 
 
 
 
    },
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(0.0, 51.0)"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
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      "text/plain": [
       "<Figure size 1600x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = dta.mean().plot(grid=False)\n",
    "ax.set_xlabel(\"Year\", size=17)\n",
    "ax.set_ylabel(\"Fertility rate\", size=17)\n",
    "ax.set_xlim(0, 51)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Next we perform the PCA:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "execution": {
 
 
 
 
    },
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [],
   "source": [
    "pca_model = PCA(dta.T, standardize=False, demean=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Based on the eigenvalues, we see that the first PC dominates, with perhaps a small amount of meaningful variation captured in the second and third PC's."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "execution": {
 
 
 
 
    },
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1600x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = pca_model.plot_scree(log_scale=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Next we will plot the PC factors.  The dominant factor is monotonically increasing.  Countries with a positive score on the first factor will increase faster (or decrease slower) compared to the mean shown above.  Countries with a negative score on the first factor will decrease faster than the mean.  The second factor is U-shaped with a positive peak at around 1985.  Countries with a large positive score on the second factor will have lower than average fertilities at the beginning and end of the data range, but higher than average fertility in the middle of the range."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "execution": {
 
 
 
 
    },
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/tmp/ipykernel_nnnnnnn/427128218.py:3: UserWarning: set_ticklabels() should only be used with a fixed number of ticks, i.e. after set_ticks() or using a FixedLocator.\n",
      "  ax.set_xticklabels(dta.columns.values[::10])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(8, 4))\n",
    "lines = ax.plot(pca_model.factors.iloc[:, :3], lw=4, alpha=0.6)\n",
    "ax.set_xticklabels(dta.columns.values[::10])\n",
    "ax.set_xlim(0, 51)\n",
    "ax.set_xlabel(\"Year\", size=17)\n",
    "fig.subplots_adjust(0.1, 0.1, 0.85, 0.9)\n",
    "legend = fig.legend(lines, [\"PC 1\", \"PC 2\", \"PC 3\"], loc=\"center right\")\n",
    "legend.draw_frame(False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To better understand what is going on, we will plot the fertility trajectories for sets of countries with similar PC scores.  The following convenience function produces such a plot."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "execution": {
 
 
 
 
    },
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [],
   "source": [
    "idx = pca_model.loadings.iloc[:, 0].argsort()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "First we plot the five countries with the greatest scores on PC 1.  These countries have a higher rate of fertility increase than the global mean (which is decreasing)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "execution": {
 
 
 
 
    },
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [],
   "source": [
    "def make_plot(labels):\n",
    "    fig, ax = plt.subplots(figsize=(9, 5))\n",
    "    ax = dta.loc[labels].T.plot(legend=False, grid=False, ax=ax)\n",
    "    dta.mean().plot(ax=ax, grid=False, label=\"Mean\")\n",
    "    ax.set_xlim(0, 51)\n",
    "    fig.subplots_adjust(0.1, 0.1, 0.75, 0.9)\n",
    "    ax.set_xlabel(\"Year\", size=17)\n",
    "    ax.set_ylabel(\"Fertility\", size=17)\n",
    "    legend = ax.legend(\n",
    "        *ax.get_legend_handles_labels(), loc=\"center left\", bbox_to_anchor=(1, 0.5)\n",
    "    )\n",
    "    legend.draw_frame(False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "execution": {
 
 
 
 
    },
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 900x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "labels = dta.index[idx[-5:]]\n",
    "make_plot(labels)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here are the five countries with the greatest scores on factor 2.  These are countries that reached peak fertility around 1980, later than much of the rest of the world, followed by a rapid decrease in fertility."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "execution": {
 
 
 
 
    },
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 900x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "idx = pca_model.loadings.iloc[:, 1].argsort()\n",
    "make_plot(dta.index[idx[-5:]])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Finally we have the countries with the most negative scores on PC 2.  These are the countries where the fertility rate declined much faster than the global mean during the 1960's and 1970's, then flattened out."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "execution": {
 
 
 
 
    },
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 900x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "make_plot(dta.index[idx[:5]])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can also look at a scatterplot of the first two principal component scores.  We see that the variation among countries is fairly continuous, except perhaps that the two countries with highest scores for PC 2 are somewhat separated from the other points.  These countries, Oman and Yemen, are unique in having a sharp spike in fertility around 1980.  No other country has such a spike.  In contrast, the countries with high scores on PC 1 (that have continuously increasing fertility), are part of a continuum of variation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "execution": {
 
 
 
 
    },
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array(['Oman', 'Yemen, Rep.'], dtype=object)"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1600x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "pca_model.loadings.plot.scatter(x=\"comp_00\", y=\"comp_01\", ax=ax)\n",
    "ax.set_xlabel(\"PC 1\", size=17)\n",
    "ax.set_ylabel(\"PC 2\", size=17)\n",
    "dta.index[pca_model.loadings.iloc[:, 1] > 0.2].values"
   ]
  }
 ],
 "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": "3.14.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
