{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Solow Growth Model: Initial Computations" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Initialization: Setting Up the Environment:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "data": { "application/javascript": [ "\n", "IPython.OutputArea.prototype._should_scroll = function(lines) {\n", " return false;\n", "}" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%%javascript\n", "\n", "IPython.OutputArea.prototype._should_scroll = function(lines) {\n", " return false;\n", "}" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# keep output cells from shifting to autoscroll..." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline " ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "# graphics setup: seaborn-whitegrid and figure size...\n", "from matplotlib import pyplot as plt\n", "\n", "plt.style.use('seaborn-whitegrid')\n", "\n", "figure_size = plt.rcParams[\"figure.figsize\"]\n", "figure_size[0] = 10\n", "figure_size[1] = 7\n", "plt.rcParams[\"figure.figsize\"] = figure_size" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "# libraries...\n", "\n", "import numpy as np\n", "import pandas as pd" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "----\n", "\n", " \n", "\n", "## Programming Advice:\n", "\n", "1. **Do** restart your kernel and run cells up to your current working point every fifteen minutes or so. Yes, it takes a little time. But if you don't, sooner or later the machine's namespace will get confused, and then you will get confused about the state of the machine's namespace, and by assuming things about it that are false you will lose hours and hours...\n", "\n", "2. **Do** reload the page when restarting the kernel does not seem to do the job...\n", "\n", "3. **Do** edit code cells by copying them below your current version and then working on the copy: when you break everything in the current cell (as you will), you can then go back to the old cell and start fresh...\n", "\n", "4. **Do** exercise agile development practices: if there is a line of code that you have not tested, test it. The best way to test is to ask the machine to echo back to you the thing you have just created in its namespace to make sure that it is what you want it to be. Only after you are **certain** that your namespace contains what you think it does should you write the next line of code. And then you should immediately test it...\n", "\n", "5. **Do** take screenshots of your error messages...\n", "\n", "6. **Do** google your error messages: Ms. Google is your best friend here...\n", "\n", "7. **Do not** confuse assignment (\"=\") and test for equality (\"==\"). In general, if there is an \"if\" anywhere nearby, you should be testing for equality. If there is not, you should be assignment a variable in your namespace to a value. **Do** curse the mathematicians 500 years ago who did not realize that in the twenty-first century it would be very convenient if we had different and not confusable symbols for equals-as-assignment and equals-as-test...\n", "\n", "Any more insights you think belong on this list? Email them to me at brad.delong@gmail.com" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "----\n", "\n", " \n", "\n", "## The Solow Growth Model: Computational Explorations\n", "\n", "Recall the four behavioral relationships in the Solow growth model: the determination of the labor-force L growth rate as equal to the parameter n; the efficiency-of-labor E growth rate as equal to the parameter g; the capital stock K growth rate as a function of the savings-investment share s of output Y, of the depreciation rate δ, and of the current output-to-capital ratio Y/K; and the production function determining the current level of output Y as a function of the current levels of the capital stock K, the labor force L, the efficiency-of-labor E, and the production function parameter—I don't have a good name for it—α (perhaps I should start calling it the relative capital orientation of growth: when α is zero capital accumulation does not matter for growth, and as α rises toward one it becomes more and more important for growth until, when it equals one, it is all that matters):\n", "\n", "$ \\frac{d(ln(L))}{dt} = n $\n", "\n", "$ \\frac{d(ln(E))}{dt} = g $\n", "\n", "$ \\frac{d(ln(K))}{dt} = \\frac{sY}{K} - \\delta $\n", "\n", "$ ln(Y) = \\alpha(ln(K)) + (1-\\alpha)(ln(L) + ln(E)) $\n", "\n", "Let's start an economy modeled by this with some set of parameter values and in some arbitary initial position. Let's let it develop over time according to its behavioral relationships. And let's see what happens:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Dataframe initialized without visible errors\n" ] } ], "source": [ "# initialize the dataframe...\n", "# covering T years\n", "\n", "T = 200\n", "\n", "sg_df = pd.DataFrame(index=range(T),columns=['Labor', \n", " 'Efficiency',\n", " 'Capital',\n", " 'Output',\n", " 'Output_per_Worker',\n", " 'Capital_Output_Ratio'],\n", " dtype='float')\n", "\n", "print(\"Dataframe initialized without visible errors\")\n", "\n", "# you think that the machine is in some state: but you may be wrong...\n", "# restart the kernel every ten minutes!" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Parameters set without visible errors\n" ] } ], "source": [ "# parameter values: labor-force growth rate, efficiency-of-labor growth rate,\n", "# depreciation rate on the capital stock, savings-investment share of output,\n", "# and capital share in production α...\n", "\n", "n = 0.0\n", "g = 0.0\n", "delta = 0.03\n", "s = 0.15\n", "alpha = 0.5\n", "\n", "print(\"Parameters set without visible errors\")" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Simulation initialize without visible errors\n" ] } ], "source": [ "# initial conditions: labor force, efficiency-of-labor, and \n", "# capital stock: change these parameters here...\n", "\n", "L0 = 1000\n", "E0 = 1\n", "K0 = 5000\n", "\n", "# initialize the dataframe at time 0 by setting L, E, K...\n", "\n", "sg_df.Labor[0] = L0\n", "sg_df.Efficiency[0] = E0\n", "sg_df.Capital[0] = K0\n", "\n", "# use the production function to calculate output at time 0...\n", "\n", "sg_df.Output[0] = (sg_df.Capital[0]**alpha *\n", " (sg_df.Labor[0] * sg_df.Efficiency[0])**(1-alpha))\n", "\n", "# calculate the last two initial values for the dataframe:\n", "# output per worker and the capital output ratio...\n", "\n", "sg_df.Output_per_Worker[0] = sg_df.Output[0]/sg_df.Labor[0]\n", "sg_df.Capital_Output_Ratio[0] = sg_df.Capital[0]/sg_df.Output[0]\n", "\n", "print(\"Simulation initialize without visible errors\")" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Simulation ran without visible errors\n" ] } ], "source": [ "# And now we loop the system forward, watching what it does\n", "# for T years...\n", "\n", "for i in range(T):\n", " sg_df.Labor[i+1] = sg_df.Labor[i] + sg_df.Labor[i] * n\n", " sg_df.Efficiency[i+1] = sg_df.Efficiency[i] + sg_df.Efficiency[i] * g\n", " sg_df.Capital[i+1] = sg_df.Capital[i] - sg_df.Capital[i] * delta + sg_df.Output[i] * s \n", " \n", " sg_df.Output[i+1] = (sg_df.Capital[i+1]**alpha * (sg_df.Labor[i+1] * sg_df.Efficiency[i+1])**(1-alpha))\n", " sg_df.Output_per_Worker[i+1] = sg_df.Output[i+1]/sg_df.Labor[i+1]\n", " sg_df.Capital_Output_Ratio[i+1] = sg_df.Capital[i+1]/sg_df.Output[i+1]\n", " \n", "print(\"Simulation ran without visible errors\")" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "0.0 is the labor force growth rate n\n", "0.0 is the efficiency of labor growth rate g\n", "0.03 is the depreciation rate delta\n", "0.15 is the savings rate s\n", "0.5 is the decreasing-returns-to-scale parameter alpha\n" ] } ], "source": [ "# plot the results...\n", "\n", "fig = plt.figure(figsize=(12, 12))\n", "\n", "ax1 = plt.subplot(2,3,1)\n", "sg_df.Labor.plot(ax = ax1, title = \"Labor Force\")\n", "plt.ylabel(\"Values\")\n", "\n", "ax2 = plt.subplot(2,3,2)\n", "sg_df.Efficiency.plot(ax = ax2, title = \"Efficiency of Labor\")\n", "\n", "ax3 = plt.subplot(2,3,3)\n", "sg_df.Capital.plot(ax = ax3, title = \"Capital Stock\")\n", "\n", "ax4 = plt.subplot(2,3,4)\n", "sg_df.Output.plot(ax = ax4, title = \"Output\")\n", "plt.xlabel(\"Years\")\n", "plt.ylabel(\"Values\")\n", "\n", "ax5 = plt.subplot(2,3,5)\n", "sg_df.Output_per_Worker.plot(ax = ax5, title = \"Output per Worker\")\n", "plt.xlabel(\"Years\")\n", "\n", "ax6 = plt.subplot(2,3,6)\n", "sg_df.Capital_Output_Ratio.plot(ax = ax6, title = \"Capital-Output Ratio\")\n", "plt.xlabel(\"Years\")\n", "\n", "plt.suptitle('Solow Growth Model: Simulation Run', size = 20)\n", "\n", "plt.show()\n", "\n", "print(n, \"is the labor force growth rate n\")\n", "print(g, \"is the efficiency of labor growth rate g\")\n", "print(delta, \"is the depreciation rate delta\")\n", "print(s, \"is the savings rate s\")\n", "print(alpha, \"is the decreasing-returns-to-scale parameter alpha\")\n" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Function creation ran without visible errors\n" ] } ], "source": [ "# we are going to want to see what happens for lots of\n", "# different model parameter values and initial conditions,\n", "# so stuff all of that inside a function, so we can then\n", "# invoke it with a single line...\n", "\n", "def sgm_200yr_run(L0, E0, K0, n=0, g=0, s=0.15, alpha=0.5, delta=0.03, T = 200):\n", "\n", " sg_df = pd.DataFrame(index=range(T),columns=['Labor', \n", " 'Efficiency',\n", " 'Capital',\n", " 'Output',\n", " 'Output_per_Worker',\n", " 'Capital_Output_Ratio'],\n", " dtype='float')\n", "\n", " sg_df.Labor[0] = L0\n", " sg_df.Efficiency[0] = E0\n", " sg_df.Capital[0] = K0\n", " sg_df.Output[0] = (sg_df.Capital[0]**alpha * (sg_df.Labor[0] * sg_df.Efficiency[0])**(1-alpha))\n", " sg_df.Output_per_Worker[0] = sg_df.Output[0]/sg_df.Labor[0]\n", " sg_df.Capital_Output_Ratio[0] = sg_df.Capital[0]/sg_df.Output[0]\n", "\n", " for i in range(T):\n", " sg_df.Labor[i+1] = sg_df.Labor[i] + sg_df.Labor[i] * n\n", " sg_df.Efficiency[i+1] = sg_df.Efficiency[i] + sg_df.Efficiency[i] * g\n", " sg_df.Capital[i+1] = sg_df.Capital[i] - sg_df.Capital[i] * delta + sg_df.Output[i] * s \n", " sg_df.Output[i+1] = (sg_df.Capital[i+1]**alpha * (sg_df.Labor[i+1] * sg_df.Efficiency[i+1])**(1-alpha))\n", " sg_df.Output_per_Worker[i+1] = sg_df.Output[i+1]/sg_df.Labor[i+1]\n", " sg_df.Capital_Output_Ratio[i+1] = sg_df.Capital[i+1]/sg_df.Output[i+1]\n", "\n", " \n", " fig = plt.figure(figsize=(12, 12))\n", "\n", " ax1 = plt.subplot(2,3,1)\n", " sg_df.Labor.plot(ax = ax1, title = \"Labor Force\")\n", " plt.ylabel(\"Values\")\n", "\n", " ax2 = plt.subplot(2,3,2)\n", " sg_df.Efficiency.plot(ax = ax2, title = \"Efficiency of Labor\")\n", "\n", " ax3 = plt.subplot(2,3,3)\n", " sg_df.Capital.plot(ax = ax3, title = \"Capital Stock\")\n", "\n", " ax4 = plt.subplot(2,3,4)\n", " sg_df.Output.plot(ax = ax4, title = \"Output\")\n", " plt.ylabel(\"Values\")\n", " plt.xlabel(\"Years\")\n", "\n", " ax5 = plt.subplot(2,3,5)\n", " sg_df.Output_per_Worker.plot(ax = ax5, title = \"Output per Worker\")\n", " plt.xlabel(\"Years\")\n", "\n", " ax6 = plt.subplot(2,3,6)\n", " sg_df.Capital_Output_Ratio.plot(ax = ax6, title = \"Capital-Output Ratio\")\n", " plt.xlabel(\"Years\")\n", "\n", " plt.suptitle('Solow Growth Model: Simulation Run', size = 20)\n", "\n", " plt.show()\n", " \n", " print(n, \"is the labor force growth rate: n\")\n", " print(g, \"is the efficiency of labor growth rate: g\")\n", " print(delta, \"is the depreciation rate: delta\")\n", " print(s, \"is the savings rate: s\")\n", " print(alpha, \"is the decreasing-returns-to-scale parameter: alpha\")\n", "\n", "print(\"Function creation ran without visible errors\")" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "0 is the labor force growth rate: n\n", "0 is the efficiency of labor growth rate: g\n", "0.03 is the depreciation rate: delta\n", "0.15 is the savings rate: s\n", "0.5 is the decreasing-returns-to-scale parameter: alpha\n" ] } ], "source": [ "# and repeat our calculations to see if we have gotten it right...\n", "\n", "sgm_200yr_run(L0 = 1000, E0 = 1, K0 = 5000)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "0 is the labor force growth rate: n\n", "0 is the efficiency of labor growth rate: g\n", "0.03 is the depreciation rate: delta\n", "0.15 is the savings rate: s\n", "0.5 is the decreasing-returns-to-scale parameter: alpha\n" ] } ], "source": [ "# Is it really heading a situation in which all variables are unchanging?\n", "\n", "sgm_200yr_run(L0 = 1000, E0 = 1, K0 = 5000, T = 1000)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "0 is the labor force growth rate: n\n", "0 is the efficiency of labor growth rate: g\n", "0.03 is the depreciation rate: delta\n", "0.15 is the savings rate: s\n", "0.5 is the decreasing-returns-to-scale parameter: alpha\n" ] } ], "source": [ "# start with a high rather than a low initial capital stock...\n", "\n", "sgm_200yr_run(L0 = 1000, E0 = 1, K0 = 40000)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "0 is the labor force growth rate: n\n", "0 is the efficiency of labor growth rate: g\n", "0.03 is the depreciation rate: delta\n", "0.15 is the savings rate: s\n", "0.5 is the decreasing-returns-to-scale parameter: alpha\n" ] } ], "source": [ "# with an initial capital stock at what looks like the\n", "# asymptote for the K/Y ratio...\n", "\n", "sgm_200yr_run(L0 = 1000, E0 = 1, K0 = 25000)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "----\n", "\n", " \n", "\n", "Set n = 0, g = 0, the economy has no long-run tendency to grow: it heads for a stagnant steady state, with all variables constant, and with the capital output ratio K/Y equal to, in this simulation run, 5. What combination of our parameters might possibly give us a 5? Well 5 = 0.15/.03 = s/δ..." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "0.01 is the labor force growth rate: n\n", "0.02 is the efficiency of labor growth rate: g\n", "0.03 is the depreciation rate: delta\n", "0.15 is the savings rate: s\n", "0.5 is the decreasing-returns-to-scale parameter: alpha\n" ] } ], "source": [ "# Now let's let there be some labor-force growth,\n", "# and some efficiency-of-labor growth...\n", "# starting from a high capital stock\n", "\n", "sgm_200yr_run(L0 = 1000, E0 = 1, K0 = 80000, g = 0.02, n = 0.01,\n", " s = 0.15)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "0.01 is the labor force growth rate: n\n", "0.02 is the efficiency of labor growth rate: g\n", "0.03 is the depreciation rate: delta\n", "0.15 is the savings rate: s\n", "0.5 is the decreasing-returns-to-scale parameter: alpha\n" ] } ], "source": [ "# What happens at the start?\n", "\n", "sgm_200yr_run(L0 = 1000, E0 = 1, K0 = 80000, g = 0.02, n = 0.01,\n", " s = 0.15, T=25)" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "0.01 is the labor force growth rate: n\n", "0.02 is the efficiency of labor growth rate: g\n", "0.03 is the depreciation rate: delta\n", "0.15 is the savings rate: s\n", "0.5 is the decreasing-returns-to-scale parameter: alpha\n" ] } ], "source": [ "# Now let's start with a low initial capital stock...\n", "\n", "sgm_200yr_run(L0 = 1000, E0 = 1, K0 = 1000, g = 0.02, n = 0.01,\n", " s = 0.15)" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "0.01 is the labor force growth rate: n\n", "0.02 is the efficiency of labor growth rate: g\n", "0.03 is the depreciation rate: delta\n", "0.15 is the savings rate: s\n", "0.5 is the decreasing-returns-to-scale parameter: alpha\n" ] } ], "source": [ "# Now let's start with an intermediate capital stock\n", "\n", "sgm_200yr_run(L0 = 1000, E0 = 1, K0 = 6210, g = 0.02, n = 0.01,\n", " s = 0.15, delta = 0.03)" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "0.01 is the labor force growth rate: n\n", "0.02 is the efficiency of labor growth rate: g\n", "0.03 is the depreciation rate: delta\n", "0.24 is the savings rate: s\n", "0.5 is the decreasing-returns-to-scale parameter: alpha\n" ] } ], "source": [ "# Note the asymptote for the capital-output ratio: 2.5±:\n", "# = s/(n+g+delta)\n", "# let's see if this holds in general\n", "\n", "sgm_200yr_run(L0 = 1000, E0 = 1, K0 = 6210, g = 0.02, n = 0.01,\n", " s = 0.24, delta = 0.03)" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "0.01 is the labor force growth rate: n\n", "0.02 is the efficiency of labor growth rate: g\n", "0.03 is the depreciation rate: delta\n", "0.24 is the savings rate: s\n", "0.5 is the decreasing-returns-to-scale parameter: alpha\n" ] } ], "source": [ "# What are the rates of growth of this economy in the long run?\n", "\n", "sgm_200yr_run(L0 = 1000, E0 = 1, K0 = 15900, g = 0.02, n = 0.01,\n", " s = 0.24, delta = 0.03, T = 200)" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.01913446033719097" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# output per worker grows from 50 in year 125 to 210 in year 200\n", "\n", "np.log(210/50)/75" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [], "source": [ "# Output per worker grows at the rate of growth of the efficiency\n", "# of labor once the economy has reached its steady-state growth\n", "# path...\n", "\n", "# We see that this happens: now we can do the algebra to get\n", "# more insight into why this model works out this way..." ] } ], "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": "3.6.7" } }, "nbformat": 4, "nbformat_minor": 4 }