From 44e943c7cb17347277a64e3d01e3ae59975f2130 Mon Sep 17 00:00:00 2001 From: John Ryan Date: Wed, 21 Feb 2024 08:19:52 -0600 Subject: [PATCH] Notebook for comparing income dists --- CompareIncomeDist.ipynb | 485432 +++++++++++++++++++++++++++++++++++++ 1 file changed, 485432 insertions(+) create mode 100644 CompareIncomeDist.ipynb diff --git a/CompareIncomeDist.ipynb b/CompareIncomeDist.ipynb new file mode 100644 index 0000000..0e58b45 --- /dev/null +++ b/CompareIncomeDist.ipynb @@ -0,0 +1,485432 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "1afb4980", + "metadata": {}, + "source": [ + "# Using Inverse Optimal Tax Theory to Reveal Preferences of Political Candidates\n", + "\n", + "This notebook uses Inverse Optimal Tax Theory to determine the generalized social welfare weights associated with the tax policy proposals of candidates for President of the United States from 2012-2020.\n", + "\n", + "## Step 1: Import necessary Python modules" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "id": "16ed9b3c", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/var/folders/2m/db9b_l2950xckts1f65_rc2m0000gn/T/ipykernel_85313/831081070.py:5: DeprecationWarning:\n", + "\n", + "Importing display from IPython.core.display is deprecated since IPython 7.14, please import from IPython display\n", + "\n" + ] + }, + { + "data": { + "text/html": [ + " \n", + " " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# imports\n", + "from iot.iot_user import iot_comparison\n", + "import taxcalc as tc\n", + "import copy\n", + "from IPython.core.display import display, HTML\n", + "from plotly.offline import init_notebook_mode, plot\n", + "import plotly.express as px\n", + "init_notebook_mode(connected=True)" + ] + }, + { + "cell_type": "markdown", + "id": "19d2ed28", + "metadata": {}, + "source": [ + "# Step 2: Give paths/urls to JSON files representing candidates' policy proposals\n", + "\n", + "We put these paths in a dictionary along with the year that is relevant for the policy proposals and what the current law baseline policy was at the time." + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "id": "093d86ac", + "metadata": {}, + "outputs": [], + "source": [ + "obama2015_path = \"https://raw.githubusercontent.com/jdebacker/examples/pres_proposals/psl_examples/taxcalc/Obama2015.json\"\n", + "romney2012_path = \"https://raw.githubusercontent.com/jdebacker/examples/pres_proposals/psl_examples/taxcalc/Romney2012.json\"\n", + "clinton2016_path = \"https://raw.githubusercontent.com/jdebacker/examples/pres_proposals/psl_examples/taxcalc/Clinton2016.json\"\n", + "trump2016_path = \"https://raw.githubusercontent.com/PSLmodels/examples/main/psl_examples/taxcalc/Trump2016.json\"\n", + "biden2020_path = \"https://raw.githubusercontent.com/PSLmodels/examples/main/psl_examples/taxcalc/Biden2020.json\"\n", + "trump2020_path = \"https://raw.githubusercontent.com/PSLmodels/examples/main/psl_examples/taxcalc/TCJA.json\"\n", + "\n", + "pre_2020_baseline = \"https://raw.githubusercontent.com/PSLmodels/examples/main/psl_examples/taxcalc/2017_law.json\"\n", + "baseline_2020 = \"https://raw.githubusercontent.com/PSLmodels/examples/main/psl_examples/taxcalc/TCJA.json\"\n", + "\n", + "\n", + "candidate_dict = {\n", + " \"Obama 2015\": {\"policy_path\": obama2015_path, \"baseline_path\": pre_2020_baseline, \"start_year\": 2016},\n", + " \"Romney 2012\": {\"policy_path\": romney2012_path, \"baseline_path\": pre_2020_baseline, \"start_year\": 2014}, # can't use year before 2014 with CPS file\n", + " \"Clinton 2016\": {\"policy_path\": clinton2016_path, \"baseline_path\": pre_2020_baseline, \"start_year\": 2017},\n", + " \"Trump 2016\": {\"policy_path\": trump2016_path, \"baseline_path\": pre_2020_baseline, \"start_year\": 2017},\n", + " \"Biden 2020\": {\"policy_path\": biden2020_path, \"baseline_path\": baseline_2020, \"start_year\": 2022},\n", + " \"Trump 2020\": {\"policy_path\": trump2020_path, \"baseline_path\": baseline_2020, \"start_year\": 2022}}\n", + "\n", + "# Add to the candidate dictionary the Policy objects representing the baseline for each candidate\n", + "base_2017 = tc.Policy()\n", + "base_2017_ref = tc.Policy.read_json_reform(pre_2020_baseline)\n", + "base_2017.implement_reform(base_2017_ref, print_warnings=False, raise_errors=False)\n", + "\n", + "base_2020 = copy.deepcopy(base_2017)\n", + "tcja = tc.Policy.read_json_reform(baseline_2020)\n", + "base_2020.implement_reform(tcja, print_warnings=False, raise_errors=False)\n", + "\n", + "candidate_dict[\"Obama 2015\"][\"baseline\"] = base_2017\n", + "candidate_dict[\"Romney 2012\"][\"baseline\"] = base_2017\n", + "candidate_dict[\"Clinton 2016\"][\"baseline\"] = base_2017\n", + "candidate_dict[\"Trump 2016\"][\"baseline\"] = base_2017\n", + "candidate_dict[\"Biden 2020\"][\"baseline\"] = base_2020\n", + "candidate_dict[\"Trump 2020\"][\"baseline\"] = base_2017" + ] + }, + { + "cell_type": "markdown", + "id": "e36798a9", + "metadata": {}, + "source": [ + "## Step 3: Instantiate an `iot_comparison` class object\n", + "\n", + "Here, we create an `iot_comparison` class object with lists representing all the candidates included in the dictionary defined above." + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "id": "45ea24da", + "metadata": {}, + "outputs": [], + "source": [ + "income_measure = \"expanded_income\"\n", + "iot1 = iot_comparison(\n", + " years=[d['start_year'] for d in list(candidate_dict.values())],\n", + " baseline_policies=[[d['baseline_path']] for d in list(candidate_dict.values())],\n", + " policies=[d['policy_path'] for d in list(candidate_dict.values())],\n", + " labels=list(candidate_dict.keys()),\n", + " data=\"CPS\",\n", + " compare_default=False,\n", + " mtr_wrt=\"e00200p\",\n", + " income_measure=income_measure,\n", + " weight_var=\"s006\",\n", + " eti=0.25,\n", + " dist_type=\"log_normal\"\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "id": "3c69a171", + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.plotly.v1+json": { + "config": { + "plotlyServerURL": "https://plot.ly" + }, + "data": [ + { + "hovertemplate": "Expanded Income=%{x:$,.2f}
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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "iot1.SaezFig2()" + ] + }, + { + "cell_type": "markdown", + "id": "3b4bdbe5", + "metadata": {}, + "source": [ + "## Analyze the performance of the income density estimates\n", + "\n", + "Outstanding problems:\n", + "1. maximum likelihood estimator which simultaneously estimates pareto parameter, cutoff and lognormal parameters either sends the cutoff to the end of the data or kinks more severely at the cutoff.\n", + "2. when including a pareto cutoff, the derivative of the income density, $\\hat{f}'$ is not continuous at the cutoff, which leads to a large discontinuity in the $\\theta_z$ and thereby $g_z$" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "id": "9b7c81a3", + "metadata": {}, + "outputs": [], + "source": [ + "from iot.generate_data import gen_microdata\n", + "from iot.inverse_optimal_tax import IOT\n", + "# get data\n", + "data = gen_microdata() " + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "id": "ac8fa99d", + "metadata": {}, + "outputs": [], + "source": [ + "#instantiate IOT object with different distribution types\n", + "iot2 = IOT(data=data, income_measure=\"expanded_income\", dist_type=\"kde_pareto\")\n", + "iot3 = IOT(data=data, income_measure=\"expanded_income\", dist_type=\"log_normal_pareto_mle\", pareto_cutoff=200_000)\n", + "iot4 = IOT(data=data, income_measure=\"expanded_income\", dist_type=\"log_normal_pareto_sequential\", pareto_cutoff=200_000)\n", + "iot5 = IOT(data=data, income_measure=\"expanded_income\", dist_type=\"log_normal\") " + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "id": "0a2e7159", + "metadata": {}, + "outputs": [], + "source": [ + "df2 = iot2.df()\n", + "df3 = iot3.df()\n", + "df4 = iot4.df()\n", + "df5 = iot5.df()" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "id": "e7dc7302", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 33, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import matplotlib.pyplot as plt\n", + "# truncate data.expanded_income to 99.5th percentile \n", + "top99 = data[\"expanded_income\"].quantile(0.99)\n", + "data = data[data[\"expanded_income\"] < top99]\n", + "\n", + "\n", + "# plot weighted histogram of income from data.expanded_income, with weights s006\n", + "fig, ax = plt.subplots()\n", + "ax.hist(data[\"expanded_income\"], bins=100, density=True, weights=data[\"s006\"])\n", + "ax.set_xlabel(\"income\")\n", + "ax.set_ylabel(\"density\")\n", + "ax.set_xlim(left=0)\n", + "# overlay the income distribution, f across z on the same plot, for the different dist_types\n", + "ax.plot(df2[\"z\"], df2[\"f\"], 'g-', label='kde pareto')\n", + "ax.plot(df3[\"z\"], df3[\"f\"], 'r-', label='log normal mle')\n", + "ax.plot(df4[\"z\"], df4[\"f\"], 'b-', label='log normal sequential')\n", + "ax.plot(df5[\"z\"], df5[\"f\"], 'y-', label='log normal')\n", + "ax.legend()" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "id": "293ba8a7", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(-49998.950000000004, 500000.0)" + ] + }, + "execution_count": 34, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# plot f_prime from df2 and df3\n", + "fig, ax = plt.subplots()\n", + "ax.plot(df2[\"z\"], df2[\"f_prime\"], 'g-', label='kde pareto')\n", + "ax.plot(df5[\"z\"], df5[\"f_prime\"], 'r-', label='log normal')\n", + "ax.plot(df4[\"z\"], df4[\"f_prime\"], 'b-', label='log normal sequential')\n", + "ax.set_xlim(right=500_000)" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "id": "7a0b71a4", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 35, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots()\n", + "ax.plot(df2[\"z\"], df2[\"theta_z\"], 'b-')\n", + "ax.plot\n", + "ax.plot()" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "id": "e90ef79d", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0, 0.5, 'g_z')" + ] + }, + "execution_count": 36, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# plot g_z across z\n", + "fig, ax = plt.subplots()\n", + "ax.plot(df2[\"z\"], df2[\"g_z\"])\n", + "\n", + "ax.set_xlim(right=500_000)\n", + "ax.set_xlabel(\"income\")\n", + "ax.set_ylabel(\"g_z\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "92a4757f", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "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": "3.11.7" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +}