{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Recovery from the Great Depression and Great Recession" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# JAVASCRIPT DISABLED IN JUPYTERLAB\n", "#\n", "# %%javascript\n", "#\n", "# IPython.OutputArea.prototype._should_scroll = function(lines) {\n", "# return false;}" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true, "jupyter": { "outputs_hidden": true } }, "outputs": [], "source": [ "# the above \"magic\" (%%) command is there to keep output cells \n", "# from shifting to autoscroll, which leaves you peering at a \n", "# small portion of a window looking for whatever the computer\n", "# just did in the output cell..." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/delong/anaconda3/lib/python3.6/site-packages/statsmodels/compat/pandas.py:56: FutureWarning:\n", "\n", "The pandas.core.datetools module is deprecated and will be removed in a future version. Please use the pandas.tseries module instead.\n", "\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "LIBRARY VERSIONS\n", " \n", "Python version:\n", "3.6.1 |Anaconda custom (x86_64)| (default, May 11 2017, 13:04:09) \n", "[GCC 4.2.1 Compatible Apple LLVM 6.0 (clang-600.0.57)]\n", "\n", "matplotlib version: 2.0.2\n", "pandas version: 0.20.1\n", "numpy version: 1.12.1\n", "statsmodels version: 0.8.0\n", "PIL version: 4.1.1\n", "scipy version: 0.19.0\n" ] } ], "source": [ "# set up the environment by reading in libraries: \n", "# os... graphics... data manipulation... time... math... statistics...\n", "# and reporting version numbers to help at debugging\n", "#\n", "# needs to be cleaned, as contains excess and unneeded libraries...\n", "\n", "import sys\n", "import os\n", "from urllib.request import urlretrieve\n", "\n", "import matplotlib as mpl\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline\n", "import PIL as pil\n", "\n", "import plotly\n", "plotly.tools.set_credentials_file(\n", " username='delong', \n", " api_key='d6vMMwVn4sEBmR2MLN9H')\n", "\n", "import plotly.plotly as py\n", "import plotly.graph_objs as go\n", "from plotly.graph_objs import Scatter\n", "from IPython.display import Image\n", "\n", "import pandas as pd\n", "from pandas import DataFrame, Series\n", "import pandas_datareader\n", "from datetime import datetime\n", "\n", "import scipy as sp\n", "import numpy as np\n", "import math\n", "import random\n", "\n", "import seaborn as sns\n", "import statsmodels\n", "import statsmodels.api as sm\n", "import statsmodels.formula.api as smf\n", "\n", "# report library versions...\n", "\n", "print(\"LIBRARY VERSIONS\")\n", "print(\" \")\n", "print(\"Python version:\\n{}\\n\".format(sys.version))\n", "print(\"matplotlib version: {}\".format(mpl.__version__))\n", "print(\"pandas version: {}\".format(pd.__version__))\n", "print(\"numpy version: {}\".format(np.__version__))\n", "print(\"statsmodels version: {}\".format(statsmodels.__version__))\n", "print(\"PIL version: {}\".format(pil.__version__))\n", "print(\"scipy version: {}\".format(sp.__version__))" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true, "jupyter": { "outputs_hidden": true } }, "outputs": [], "source": [ "%matplotlib inline " ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": true, "jupyter": { "outputs_hidden": true } }, "outputs": [], "source": [ "# the above cell \"magic\" (%) tells the matplot lib graphics library\n", "# to plot graphs as static figures output cells, rather than in new\n", "# windows (or in the alternative \"%matplotlib notebook\" view, as a\n", "# dynamic interactive figure)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": true, "jupyter": { "outputs_hidden": true } }, "outputs": [], "source": [ "# graphics setup: seaborn-whitegrid to make the output from matplotlib\n", "# prettier and figure_size to make the output from matplotlib\n", "# somewhat larger...\n", "\n", "plt.style.use('seaborn-whitegrid')\n", "\n", "figure_size = plt.rcParams[\"figure.figsize\"]\n", "figure_size[0] = 10\n", "figure_size[1] = 8\n", "plt.rcParams[\"figure.figsize\"] = figure_size" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": true, "jupyter": { "outputs_hidden": true } }, "outputs": [ { "data": { "text/plain": [ "{'Source': 'Louis Johnston and Samuel H. Williamson (2017), \"What Was the U.S. GDP Then?\" MeasuringWorth',\n", " 'SourceDescription': 'See https://www.measuringworth.com/aboutus.php; https://www.measuringworth.com/datasets/usgdp/export.php?year_source=1790&year_result=2016&use%5B%5D=REALGDP&use%5B%5D=GDPCP',\n", " 'SourceNotes': \"See Johnston and Williamson: 'Sources and Techniques Used in the Construction of Annual GDP, 1790 - Present' https://www.measuringworth.com/usgdp/#\",\n", " 'SourceURL': 'http://delong.typepad.com/2017-09-12_us_real_gdp_and_per_capita.csv',\n", " 'df': Real_GDP Real_GDP_per_Capita\n", " Year \n", " 1790 4351 1107.32\n", " 1791 4612 1139.28\n", " 1792 4952 1186.84\n", " 1793 5345 1243.34\n", " 1794 6052 1366.45\n", " 1795 6436 1410.40\n", " 1796 6640 1412.53\n", " 1797 6774 1398.33\n", " 1798 7064 1415.67\n", " 1799 7563 1471.05\n", " 1800 7994 1509.06\n", " 1801 8383 1535.08\n", " 1802 8647 1535.28\n", " 1803 8793 1513.74\n", " 1804 9135 1524.74\n", " 1805 9619 1556.43\n", " 1806 10074 1579.17\n", " 1807 10083 1530.49\n", " 1808 10105 1486.74\n", " 1809 10878 1552.07\n", " 1810 11481 1589.31\n", " 1811 12003 1614.19\n", " 1812 12482 1631.42\n", " 1813 13192 1676.92\n", " 1814 13744 1699.98\n", " 1815 13855 1667.65\n", " 1816 13854 1622.25\n", " 1817 14176 1612.73\n", " 1818 14691 1622.02\n", " 1819 14975 1604.18\n", " ... ... ...\n", " 1987 8132600 33489.00\n", " 1988 8474500 34581.00\n", " 1989 8786400 35517.00\n", " 1990 8955000 35794.00\n", " 1991 8948400 35295.00\n", " 1992 9266600 36068.00\n", " 1993 9521000 36580.00\n", " 1994 9905400 37598.00\n", " 1995 10174800 38167.00\n", " 1996 10561000 39156.00\n", " 1997 11034900 40427.00\n", " 1998 11525900 41737.00\n", " 1999 12065900 43196.00\n", " 2000 12559700 44475.00\n", " 2001 12682200 44464.00\n", " 2002 12908800 44829.00\n", " 2003 13271100 45664.00\n", " 2004 13773500 46967.00\n", " 2005 14234200 48090.00\n", " 2006 14613800 48905.00\n", " 2007 14873700 49300.00\n", " 2008 14830400 48697.00\n", " 2009 14418700 46930.00\n", " 2010 14783800 47720.00\n", " 2011 15020600 48125.00\n", " 2012 15354600 48841.00\n", " 2013 15612200 49317.00\n", " 2014 16013300 50216.00\n", " 2015 16471500 51286.00\n", " 2016 16716200 51690.00\n", " \n", " [227 rows x 2 columns]}" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# reading in the previously-downloaded long-run real GDP and \n", "# GDP per capita file from Johnston and Williamson's \"Measuring \n", "# Worth\" website\n", "#\n", "# constructing a dataframe to hold the data, and then wrapping\n", "# that dataframe inside a dict object to append source notes and\n", "# links\n", "\n", "Source_URL = 'http://delong.typepad.com/2017-09-12_us_real_gdp_and_per_capita.csv' \n", "\n", "uslrnp_df = pd.read_csv(\n", " Source_URL, \n", " converters = {'Source': str, 'Source_URL': str}, \n", "# parse_dates = True,\n", " index_col = 0)\n", "\n", "uslrnp_dict = {}\n", "uslrnp_dict[\"Source\"] = uslrnp_df.Source.values[0]\n", "uslrnp_dict[\"SourceURL\"] = Source_URL\n", "\n", "sourceD1 = \"See Johnston and Williamson: \"\n", "sourceD2 = \"'Sources and Techniques Used in the Construction of Annual GDP, 1790 - Present' \"\n", "sourceD3 = \"https://www.measuringworth.com/usgdp/#\"\n", "uslrnp_dict[\"SourceNotes\"] = sourceD1 + sourceD2 + sourceD3\n", "\n", "sourceD4 = \"See https://www.measuringworth.com/aboutus.php; \"\n", "sourceD5 = \"https://www.measuringworth.com/datasets/usgdp/export.php?\"\n", "sourceD6 = \"year_source=1790&year_result=2016&use%5B%5D=REALGDP&use%5B%5D=GDPCP\"\n", "uslrnp_dict[\"SourceDescription\"] = sourceD4 + sourceD5 + sourceD6\n", "\n", "del uslrnp_df[\"Source\"]\n", "del uslrnp_df[\"Source_URL\"]\n", "\n", "uslrnp_dict[\"df\"] = uslrnp_df\n", "\n", "# commented out \n", "uslrnp_dict" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { 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VKiZPnkzv3r157bXXijQSv6Tv7+Kcr/j4eK5evUrNmjV56KGHcnzesGHDGDlyJI888gjJ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\nERERkQCkECciIiISgP4/dYSE0tud6y0AAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# generating four simple graphs of Real GDP — total and per capita,\n", "# linear and log scale\n", "# \n", "# this first graph is the version that belongs in the textook, IMHO...\n", "\n", "uslrnp_df.Real_GDP_per_Capita.plot()\n", "\n", "plt.xlabel(\"Year\", size = 15)\n", "plt.ylabel(\"Real Output per Capita\", size = 15)\n", "plt.ylim(0, )\n", "plt.title(\"Real Output per Capita in the United States\", size = 24)\n", "\n" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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6dOkCY2NjmJmZQU1Nrdq3ZCpT3cqGfz/W9TjRjx8/xqpVq1BQUMBOa9myJQwN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\nIlQDAAAADvofqWnxG3eRZEoAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "uslrnp_df.Real_GDP_per_Capita.plot(logy = True)\n", "\n", "\n", "plt.xlabel(\"Year\", size = 15)\n", "plt.ylabel(\"Real National Product per Capita (Log Scale)\", size = 15)\n", "plt.title(\"Real National Product per Capita in the United States\", \n", " size = 30)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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7924MHjy4zgn+7t272ZOdmZkZFixYwB74jx8/wt3dHa9evUJlZSV2796NUaNGscndqVOn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\ntkVERERE4uT/AJC32atvziUPAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "uslrnp_df.Real_GDP.plot()\n", "\n", "plt.xlabel(\"Year\", size = 15)\n", "plt.ylim(0, )\n", "plt.ylabel(\"Real National Product (in Tens of Trillions of Today's Dollars)\", size = 15)\n", "plt.title(\"Real National Product in the United States since 1790\", size = 30)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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OnDkjNFtnXTTlvUca5dbS0hJ//fUXtm3bhszMTHC5XERHRyM6Ohpubm5QU1PD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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "uslrnp_df.Real_GDP.plot(logy = True)\n", "\n", "plt.xlabel(\"Year\", size = 15)\n", "plt.ylabel(\"Real National Product\", size = 15)\n", "plt.title(\"Real National Product in the United States since 1790:\\nLog Output\", size = 30)" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[1.0,\n", " 0.90517937478371213,\n", " 0.84069673549429003,\n", " 0.7276502480101511,\n", " 0.71426923520590613,\n", " 0.78636520936670895,\n", " 0.85050178798015919,\n", " 0.95431999077171525,\n", " 0.9970008074749106,\n", " 0.9565117083862037,\n", " 1.0244549544353443,\n", " 1.1054331526127581,\n", " 1.2886146037605259]" ] }, "execution_count": 35, "metadata": {}, "output_type": "execute_result" } ], "source": [ "depression_real_GDP = []\n", "\n", "for t in range(1929, 1942):\n", " depression_real_GDP = depression_real_GDP + [uslrnp_df.Real_GDP[t]/uslrnp_df.Real_GDP[1929]]\n", "\n", "depression_real_GDP_per_capita = []\n", "\n", "for t in range(1929, 1942):\n", " depression_real_GDP_per_capita = depression_real_GDP_per_capita + [uslrnp_df.Real_GDP_per_Capita[t]/uslrnp_df.Real_GDP_per_Capita[1929]]\n", " \n", "depression_real_GDP_per_capita" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[1.0,\n", " 0.98776876267748481,\n", " 0.9519269776876268,\n", " 0.96795131845841786,\n", " 0.97616632860040564,\n", " 0.99068965517241381,\n", " 1.0003448275862068,\n", " 1.0185801217038539,\n", " 1.0402839756592293,\n", " 1.0484787018255579,\n", " 1.0635,\n", " 1.0795,\n", " 1.0957]" ] }, "execution_count": 40, "metadata": {}, "output_type": "execute_result" } ], "source": [ "recession_real_GDP = []\n", "\n", "for t in range(2017, 2017):\n", " recession_real_GDP = recession_real_GDP + [uslrnp_df.Real_GDP[t]/uslrnp_df.Real_GDP[2007]]\n", " \n", "recession_real_GDP = recession_real_GDP + [1.149] + [1.1779] + [1.2074] \n", "\n", "\n", "recession_real_GDP_per_capita = []\n", "\n", "for t in range(2007, 2017):\n", " recession_real_GDP_per_capita = recession_real_GDP_per_capita + [uslrnp_df.Real_GDP_per_Capita[t]/uslrnp_df.Real_GDP_per_Capita[2007]]\n", " \n", "recession_real_GDP_per_capita = recession_real_GDP_per_capita + [1.0635] + [1.0795] + [1.0957]\n", "\n", "recession_real_GDP_per_capita" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "range(0, 11)\n", "None\n" ] } ], "source": [ "year = range(0,11)\n", "\n", "print(print(year))" ] }, { "cell_type": "code", "execution_count": 44, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 44, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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bixx+4UnyKmINGzbUGyfrdTJ58mTWrFnD+++/j1arVX0XmzdvzvLlyws8g7a4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\npCT07t0bSqUSrq6u+PnnnwEAI0eOxLfff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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "data = [('Great Recession', recession_real_GDP_per_capita),\n", " ('GreatDepression', depression_real_GDP_per_capita)]\n", "\n", "comparison_per_capita_df = pd.DataFrame.from_items(data)\n", "\n", "comparison_per_capita_df.plot()\n", "plt.xlabel(\"Years After Previous Business Cycle Peak\", size = 12)\n", "plt.ylabel(\"Relative to Value at Previous Business Cycle Peak\", size = 12)\n", "plt.title(\"Downturn and Recovery Trends in the \\nGreat Depression and Great Recession\", size = 24)" ] } ], "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": "3.7.7" } }, "nbformat": 4, "nbformat_minor": 4 }