{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "cfa03ecf-6e5d-4cb7-8060-048cd4e1ca6c",
   "metadata": {},
   "source": [
    "# Lorenz Curves and Schutz Lines\n",
    "\n",
    "Lorenz Curves and Schutz diagrams are powerful tools for visualizing economic inequality, particularly in the distribution of income or wealth within a population. The Lorenz Curve plots the cumulative percentage of total income received by the bottom x% of the population, providing a visual representation of how income is distributed. The further the curve bows away from the 45-degree line of equality, the more unequal the distribution. Schutz diagrams complement this by showing the area between the Lorenz Curve and the line of equality, which can be used to calculate the Gini coefficient—a numerical measure of inequality. Both visualizations help highlight disparities in resource allocation, making them useful in policy discussions on equity and social justice.\n",
    "\n",
    "## Schutz Measures of Inequality\n",
    "\n",
    "The Schutz class calculates measures of inequality in an income distribution.\n",
    "\n",
    "It calculates the Schutz distance, which is the maximum distance between the line of perfect equality and the Lorenz curve. Additionally, it computes the intersection point with the line of perfect equality where the Schutz distance occurs and the original Schutz coefficient. \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "b5841f7c-a8bd-4ecb-bb34-10d51aa36fef",
   "metadata": {},
   "outputs": [],
   "source": [
    "from inequality.schutz import Schutz"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "471d3791-e3c5-47bc-92fa-9dd5b3e5c2a5",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "7879bc81-3d53-40f6-8108-ee2fbc07529e",
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "9f32cb7a-2210-4a50-bc5c-9cd1bbbd9ee7",
   "metadata": {},
   "outputs": [],
   "source": [
    "df = pd.DataFrame(data=np.array([1000, 2000, 1500, 3000, 2500]), columns=[\"GDP\"])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "f52b60af-f136-46d9-8fb9-91ccdb7b1601",
   "metadata": {},
   "outputs": [],
   "source": [
    "s = Schutz(df, \"GDP\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "8b72184b-86c8-4bed-b946-70d2e472a1cc",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "np.float64(0.15000000000000008)"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "s.distance"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "acd62bd1-5830-4b2b-ba22-f9dc9381d9c4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "np.float64(0.6000000000000001)"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "s.intersection_point"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "2d4bdf0a-72c7-4eda-83aa-8b82eb8e3706",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>GDP</th>\n",
       "      <th>unit</th>\n",
       "      <th>upct</th>\n",
       "      <th>ypct</th>\n",
       "      <th>ucpct</th>\n",
       "      <th>ycpct</th>\n",
       "      <th>distance</th>\n",
       "      <th>slope</th>\n",
       "      <th>coefficient</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1000</td>\n",
       "      <td>1</td>\n",
       "      <td>0.2</td>\n",
       "      <td>0.10</td>\n",
       "      <td>0.2</td>\n",
       "      <td>0.10</td>\n",
       "      <td>0.10</td>\n",
       "      <td>0.50</td>\n",
       "      <td>-5.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1500</td>\n",
       "      <td>1</td>\n",
       "      <td>0.2</td>\n",
       "      <td>0.15</td>\n",
       "      <td>0.4</td>\n",
       "      <td>0.25</td>\n",
       "      <td>0.15</td>\n",
       "      <td>0.75</td>\n",
       "      <td>-2.5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2000</td>\n",
       "      <td>1</td>\n",
       "      <td>0.2</td>\n",
       "      <td>0.20</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.45</td>\n",
       "      <td>0.15</td>\n",
       "      <td>1.00</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2500</td>\n",
       "      <td>1</td>\n",
       "      <td>0.2</td>\n",
       "      <td>0.25</td>\n",
       "      <td>0.8</td>\n",
       "      <td>0.70</td>\n",
       "      <td>0.10</td>\n",
       "      <td>1.25</td>\n",
       "      <td>2.5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>3000</td>\n",
       "      <td>1</td>\n",
       "      <td>0.2</td>\n",
       "      <td>0.30</td>\n",
       "      <td>1.0</td>\n",
       "      <td>1.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.50</td>\n",
       "      <td>5.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "    GDP  unit  upct  ypct  ucpct  ycpct  distance  slope  coefficient\n",
       "0  1000     1   0.2  0.10    0.2   0.10      0.10   0.50         -5.0\n",
       "1  1500     1   0.2  0.15    0.4   0.25      0.15   0.75         -2.5\n",
       "2  2000     1   0.2  0.20    0.6   0.45      0.15   1.00          0.0\n",
       "3  2500     1   0.2  0.25    0.8   0.70      0.10   1.25          2.5\n",
       "4  3000     1   0.2  0.30    1.0   1.00      0.00   1.50          5.0"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "s.df_processed"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "ff41b6d0-f4f2-4dc1-b485-5cac4fb2d29a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "np.float64(7.499999999999998)"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "s.coefficient"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "5294f208-5b2e-4e86-aa7f-190b82555a2f",
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "s.plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "156b5de7-88b7-4bf8-9fd4-237cb1e72f90",
   "metadata": {},
   "source": [
    "### Increase the inequality"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "a2ab7983-d0c6-45eb-a393-45464b6d8a7a",
   "metadata": {},
   "outputs": [],
   "source": [
    "y = np.array([20, 50, 80, 100, 100, 100, 100, 120, 150, 180])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "c2fa9119-df17-4dbb-b6de-71c486355ced",
   "metadata": {},
   "outputs": [],
   "source": [
    "df = pd.DataFrame(data=y, columns=[\"GDP\"])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "f4cd0cf8-3458-4a05-87a8-6a387d0f05c4",
   "metadata": {},
   "outputs": [],
   "source": [
    "s = Schutz(df, \"GDP\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "8fdc3fb5-f926-46a2-ae79-15f2b82dd192",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "np.float64(14.999999999999996)"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "s.coefficient"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "0a77128b-2b2c-41ab-b479-2cc30339e3d4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>GDP</th>\n",
       "      <th>unit</th>\n",
       "      <th>upct</th>\n",
       "      <th>ypct</th>\n",
       "      <th>ucpct</th>\n",
       "      <th>ycpct</th>\n",
       "      <th>distance</th>\n",
       "      <th>slope</th>\n",
       "      <th>coefficient</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>20</td>\n",
       "      <td>1</td>\n",
       "      <td>0.1</td>\n",
       "      <td>0.02</td>\n",
       "      <td>0.1</td>\n",
       "      <td>0.02</td>\n",
       "      <td>8.000000e-02</td>\n",
       "      <td>0.2</td>\n",
       "      <td>-8.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>50</td>\n",
       "      <td>1</td>\n",
       "      <td>0.1</td>\n",
       "      <td>0.05</td>\n",
       "      <td>0.2</td>\n",
       "      <td>0.07</td>\n",
       "      <td>1.300000e-01</td>\n",
       "      <td>0.5</td>\n",
       "      <td>-5.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>80</td>\n",
       "      <td>1</td>\n",
       "      <td>0.1</td>\n",
       "      <td>0.08</td>\n",
       "      <td>0.3</td>\n",
       "      <td>0.15</td>\n",
       "      <td>1.500000e-01</td>\n",
       "      <td>0.8</td>\n",
       "      <td>-2.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>100</td>\n",
       "      <td>1</td>\n",
       "      <td>0.1</td>\n",
       "      <td>0.10</td>\n",
       "      <td>0.4</td>\n",
       "      <td>0.25</td>\n",
       "      <td>1.500000e-01</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>100</td>\n",
       "      <td>1</td>\n",
       "      <td>0.1</td>\n",
       "      <td>0.10</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.35</td>\n",
       "      <td>1.500000e-01</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>100</td>\n",
       "      <td>1</td>\n",
       "      <td>0.1</td>\n",
       "      <td>0.10</td>\n",
       "      <td>0.6</td>\n",
       "      <td>0.45</td>\n",
       "      <td>1.500000e-01</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>100</td>\n",
       "      <td>1</td>\n",
       "      <td>0.1</td>\n",
       "      <td>0.10</td>\n",
       "      <td>0.7</td>\n",
       "      <td>0.55</td>\n",
       "      <td>1.500000e-01</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>120</td>\n",
       "      <td>1</td>\n",
       "      <td>0.1</td>\n",
       "      <td>0.12</td>\n",
       "      <td>0.8</td>\n",
       "      <td>0.67</td>\n",
       "      <td>1.300000e-01</td>\n",
       "      <td>1.2</td>\n",
       "      <td>2.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>150</td>\n",
       "      <td>1</td>\n",
       "      <td>0.1</td>\n",
       "      <td>0.15</td>\n",
       "      <td>0.9</td>\n",
       "      <td>0.82</td>\n",
       "      <td>8.000000e-02</td>\n",
       "      <td>1.5</td>\n",
       "      <td>5.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>180</td>\n",
       "      <td>1</td>\n",
       "      <td>0.1</td>\n",
       "      <td>0.18</td>\n",
       "      <td>1.0</td>\n",
       "      <td>1.00</td>\n",
       "      <td>-1.110223e-16</td>\n",
       "      <td>1.8</td>\n",
       "      <td>8.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   GDP  unit  upct  ypct  ucpct  ycpct      distance  slope  coefficient\n",
       "0   20     1   0.1  0.02    0.1   0.02  8.000000e-02    0.2         -8.0\n",
       "1   50     1   0.1  0.05    0.2   0.07  1.300000e-01    0.5         -5.0\n",
       "2   80     1   0.1  0.08    0.3   0.15  1.500000e-01    0.8         -2.0\n",
       "3  100     1   0.1  0.10    0.4   0.25  1.500000e-01    1.0          0.0\n",
       "4  100     1   0.1  0.10    0.5   0.35  1.500000e-01    1.0          0.0\n",
       "5  100     1   0.1  0.10    0.6   0.45  1.500000e-01    1.0          0.0\n",
       "6  100     1   0.1  0.10    0.7   0.55  1.500000e-01    1.0          0.0\n",
       "7  120     1   0.1  0.12    0.8   0.67  1.300000e-01    1.2          2.0\n",
       "8  150     1   0.1  0.15    0.9   0.82  8.000000e-02    1.5          5.0\n",
       "9  180     1   0.1  0.18    1.0   1.00 -1.110223e-16    1.8          8.0"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "s.df_processed"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "191b0379-fa2b-48a8-83e3-4b1513b9ef33",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "np.float64(0.15000000000000002)"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "s.distance"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "fe18ada3-a3b1-4543-b31f-290236823e24",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "np.float64(0.30000000000000004)"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "s.intersection_point"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "dc17f5bc-9d85-42eb-9cfe-fbc153439e89",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "s.plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cb980ad1-a0b0-4d2d-91b9-d0c4d6d42734",
   "metadata": {},
   "source": [
    "## Visualizing Mexican State Income Inequality"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "0448ec52-ea6a-4db8-9305-25aee1c0e08b",
   "metadata": {},
   "outputs": [],
   "source": [
    "import geopandas as gpd\n",
    "\n",
    "gdf = gpd.read_file(\"weighted.shp\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "6cb94942-b3a0-4cf2-9034-a836058a29f2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>POLY_ID</th>\n",
       "      <th>AREA</th>\n",
       "      <th>CODE</th>\n",
       "      <th>NAME</th>\n",
       "      <th>PERIMETER</th>\n",
       "      <th>ACRES</th>\n",
       "      <th>HECTARES</th>\n",
       "      <th>PCGDP1940</th>\n",
       "      <th>PCGDP1950</th>\n",
       "      <th>PCGDP1960</th>\n",
       "      <th>...</th>\n",
       "      <th>TEST</th>\n",
       "      <th>Name_1</th>\n",
       "      <th>Population</th>\n",
       "      <th>NAMEp</th>\n",
       "      <th>populati_1</th>\n",
       "      <th>Y2000</th>\n",
       "      <th>y2000_1</th>\n",
       "      <th>p</th>\n",
       "      <th>State</th>\n",
       "      <th>geometry</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>5</td>\n",
       "      <td>5.467030e+09</td>\n",
       "      <td>MX01</td>\n",
       "      <td>Aguascalientes</td>\n",
       "      <td>313895.530</td>\n",
       "      <td>1.350927e+06</td>\n",
       "      <td>546702.985</td>\n",
       "      <td>10384.0</td>\n",
       "      <td>6234.0</td>\n",
       "      <td>8714.0</td>\n",
       "      <td>...</td>\n",
       "      <td>5.0</td>\n",
       "      <td>Aguascalientes</td>\n",
       "      <td>944285</td>\n",
       "      <td>Aguascalientes</td>\n",
       "      <td>944285</td>\n",
       "      <td>2.623413e+10</td>\n",
       "      <td>27782.0</td>\n",
       "      <td>0.009647</td>\n",
       "      <td>Aguascalientes</td>\n",
       "      <td>POLYGON ((-101.8462 22.01176, -101.9653 21.883...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1</td>\n",
       "      <td>7.252751e+10</td>\n",
       "      <td>MX02</td>\n",
       "      <td>Baja California Norte</td>\n",
       "      <td>2040312.385</td>\n",
       "      <td>1.792187e+07</td>\n",
       "      <td>7252751.376</td>\n",
       "      <td>22361.0</td>\n",
       "      <td>20977.0</td>\n",
       "      <td>17865.0</td>\n",
       "      <td>...</td>\n",
       "      <td>1.0</td>\n",
       "      <td>Querétaro de Arteaga</td>\n",
       "      <td>1404306</td>\n",
       "      <td>Baja California Norte</td>\n",
       "      <td>1404306</td>\n",
       "      <td>4.192556e+10</td>\n",
       "      <td>29855.0</td>\n",
       "      <td>0.014347</td>\n",
       "      <td>Baja California Norte</td>\n",
       "      <td>MULTIPOLYGON (((-113.13972 29.01778, -113.2405...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2</td>\n",
       "      <td>7.225988e+10</td>\n",
       "      <td>MX03</td>\n",
       "      <td>Baja California Sur</td>\n",
       "      <td>2912880.772</td>\n",
       "      <td>1.785573e+07</td>\n",
       "      <td>7225987.769</td>\n",
       "      <td>9573.0</td>\n",
       "      <td>16013.0</td>\n",
       "      <td>16707.0</td>\n",
       "      <td>...</td>\n",
       "      <td>2.0</td>\n",
       "      <td>Baja California Sur</td>\n",
       "      <td>424041</td>\n",
       "      <td>Baja California Sur</td>\n",
       "      <td>424041</td>\n",
       "      <td>1.106874e+10</td>\n",
       "      <td>26103.0</td>\n",
       "      <td>0.004332</td>\n",
       "      <td>Baja California Sur</td>\n",
       "      <td>MULTIPOLYGON (((-111.20612 25.80278, -111.2302...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>15</td>\n",
       "      <td>5.016584e+10</td>\n",
       "      <td>MX04</td>\n",
       "      <td>Campeche</td>\n",
       "      <td>1575361.146</td>\n",
       "      <td>1.239620e+07</td>\n",
       "      <td>5016583.723</td>\n",
       "      <td>3758.0</td>\n",
       "      <td>4929.0</td>\n",
       "      <td>5925.0</td>\n",
       "      <td>...</td>\n",
       "      <td>15.0</td>\n",
       "      <td>Campeche</td>\n",
       "      <td>690689</td>\n",
       "      <td>Campeche</td>\n",
       "      <td>690689</td>\n",
       "      <td>2.497739e+10</td>\n",
       "      <td>36163.0</td>\n",
       "      <td>0.007056</td>\n",
       "      <td>Campeche</td>\n",
       "      <td>MULTIPOLYGON (((-91.83446 18.63805, -91.84195 ...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>22</td>\n",
       "      <td>7.339157e+10</td>\n",
       "      <td>MX05</td>\n",
       "      <td>Chiapas</td>\n",
       "      <td>1477195.199</td>\n",
       "      <td>1.813538e+07</td>\n",
       "      <td>7339157.376</td>\n",
       "      <td>2934.0</td>\n",
       "      <td>4138.0</td>\n",
       "      <td>5280.0</td>\n",
       "      <td>...</td>\n",
       "      <td>22.0</td>\n",
       "      <td>Chiapas</td>\n",
       "      <td>3920892</td>\n",
       "      <td>Chiapas</td>\n",
       "      <td>3920892</td>\n",
       "      <td>3.404903e+10</td>\n",
       "      <td>8684.0</td>\n",
       "      <td>0.040057</td>\n",
       "      <td>Chiapas</td>\n",
       "      <td>POLYGON ((-91.4375 17.24111, -91.35278 17.1763...</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>5 rows × 43 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "   POLY_ID          AREA  CODE                   NAME    PERIMETER  \\\n",
       "0        5  5.467030e+09  MX01         Aguascalientes   313895.530   \n",
       "1        1  7.252751e+10  MX02  Baja California Norte  2040312.385   \n",
       "2        2  7.225988e+10  MX03    Baja California Sur  2912880.772   \n",
       "3       15  5.016584e+10  MX04               Campeche  1575361.146   \n",
       "4       22  7.339157e+10  MX05                Chiapas  1477195.199   \n",
       "\n",
       "          ACRES     HECTARES  PCGDP1940  PCGDP1950  PCGDP1960  ...  TEST  \\\n",
       "0  1.350927e+06   546702.985    10384.0     6234.0     8714.0  ...   5.0   \n",
       "1  1.792187e+07  7252751.376    22361.0    20977.0    17865.0  ...   1.0   \n",
       "2  1.785573e+07  7225987.769     9573.0    16013.0    16707.0  ...   2.0   \n",
       "3  1.239620e+07  5016583.723     3758.0     4929.0     5925.0  ...  15.0   \n",
       "4  1.813538e+07  7339157.376     2934.0     4138.0     5280.0  ...  22.0   \n",
       "\n",
       "                 Name_1  Population                  NAMEp  populati_1  \\\n",
       "0        Aguascalientes      944285         Aguascalientes      944285   \n",
       "1  Querétaro de Arteaga     1404306  Baja California Norte     1404306   \n",
       "2   Baja California Sur      424041    Baja California Sur      424041   \n",
       "3              Campeche      690689               Campeche      690689   \n",
       "4               Chiapas     3920892                Chiapas     3920892   \n",
       "\n",
       "          Y2000  y2000_1         p                  State  \\\n",
       "0  2.623413e+10  27782.0  0.009647         Aguascalientes   \n",
       "1  4.192556e+10  29855.0  0.014347  Baja California Norte   \n",
       "2  1.106874e+10  26103.0  0.004332    Baja California Sur   \n",
       "3  2.497739e+10  36163.0  0.007056               Campeche   \n",
       "4  3.404903e+10   8684.0  0.040057                Chiapas   \n",
       "\n",
       "                                            geometry  \n",
       "0  POLYGON ((-101.8462 22.01176, -101.9653 21.883...  \n",
       "1  MULTIPOLYGON (((-113.13972 29.01778, -113.2405...  \n",
       "2  MULTIPOLYGON (((-111.20612 25.80278, -111.2302...  \n",
       "3  MULTIPOLYGON (((-91.83446 18.63805, -91.84195 ...  \n",
       "4  POLYGON ((-91.4375 17.24111, -91.35278 17.1763...  \n",
       "\n",
       "[5 rows x 43 columns]"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "gdf.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "746a1398-6f62-4529-a1f3-fb8eb4d1e73b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Index(['POLY_ID', 'AREA', 'CODE', 'NAME', 'PERIMETER', 'ACRES', 'HECTARES',\n",
       "       'PCGDP1940', 'PCGDP1950', 'PCGDP1960', 'PCGDP1970', 'PCGDP1980',\n",
       "       'PCGDP1990', 'PCGDP2000', 'HANSON03', 'HANSON98', 'ESQUIVEL99', 'INEGI',\n",
       "       'INEGI2', 'MAXP', 'GR4000', 'GR5000', 'GR6000', 'GR7000', 'GR8000',\n",
       "       'GR9000', 'LPCGDP40', 'LPCGDP50', 'LPCGDP60', 'LPCGDP70', 'LPCGDP80',\n",
       "       'LPCGDP90', 'LPCGDP00', 'TEST', 'Name_1', 'Population', 'NAMEp',\n",
       "       'populati_1', 'Y2000', 'y2000_1', 'p', 'State', 'geometry'],\n",
       "      dtype='object')"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "gdf.columns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "id": "098fb817-7b90-44ad-8822-fd967ec6ac98",
   "metadata": {},
   "outputs": [],
   "source": [
    "s1960 = Schutz(gdf, \"PCGDP1960\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "id": "cd3c70ba-8043-4113-8c3e-146733c1f8fe",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "s1960.plot(xlabel=\"State Percentile Rank 1960\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "id": "45a6bde2-a69a-450a-a9c6-0952b95fa390",
   "metadata": {},
   "outputs": [],
   "source": [
    "s2000 = Schutz(gdf, \"PCGDP2000\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "id": "7270fdba-c040-4816-8dcb-8f9c0e9f84ce",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "s2000.plot(xlabel=\"State Percentile Rank 2000\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "id": "d5165cbe-16ca-4fd9-805a-12c2afa4fd68",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "np.float64(58.09565999182672)"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "s1960.coefficient"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "id": "3c5c4bb9-7e0c-43c6-83b7-bd67ac1bc0df",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "np.float64(62.413744551459686)"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "s2000.coefficient"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "id": "b627238b-b80a-41af-98f3-0e9437bd3520",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "np.float64(0.1815489374744585)"
      ]
     },
     "execution_count": 43,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "s1960.calculate_schutz_distance()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "id": "4a45c67d-1bb5-4224-8dd8-38047a37eef3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "np.float64(0.1950429517233115)"
      ]
     },
     "execution_count": 44,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "s2000.calculate_schutz_distance()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ccd537bf-8c41-4951-a09f-5a104e0fef9a",
   "metadata": {},
   "source": [
    "The location and height of the Schutz line (which is derived from the Lorenz curve) offer key insights into the degree of inequality in a distribution. In the case above, the Schutz line for the first distribution in 1960 is positioned to the right and is shorter than that of the second distribution in 2000, this indicates that the first distribution exhibits **less inequality** than the second one.\n",
    "\n",
    "Here's how to interpret this:\n",
    "\n",
    "1. **Position of the Schutz line (to the right)**: The more the line shifts to the right, the greater the share of the population that holds a significant portion of the total income or wealth, meaning less inequality. This suggests that in the first distribution, a larger proportion of the population is receiving a more equitable share of the total resources, compared to the second distribution.\n",
    "\n",
    "2. **Height of the Schutz line (shorter)**: A shorter Schutz line represents a smaller area between the Lorenz curve and the line of perfect equality (the 45-degree line). Since this area is proportional to the Gini coefficient (a measure of inequality), a shorter Schutz line indicates a **lower Gini coefficient** and thus lower inequality in the first distribution compared to the second.\n",
    "\n",
    "In summary, the first distribution is more equal, with a larger portion of the state's having a fairer share of the total income, while the second distribution has higher inequality, as reflected in its taller and more leftward-shifted Schutz line."
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
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  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
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   "file_extension": ".py",
   "mimetype": "text/x-python",
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