{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pylab as plt\n", "import seaborn as sbn\n", "from scipy.optimize import fmin" ] }, { "cell_type": "markdown", "metadata": { "code_folding": [] }, "source": [ "Note: this post has been updated for newer versions of python. Content-wise it is mostly identical to the earlier version except for some minor editorial changes. You can interact with this post [live on Google Colab](https://colab.research.google.com/drive/1qJKw_LPo1Dmykye3PJm3qgixHtDXr4Aq?usp=sharing)." ] }, { "cell_type": "markdown", "metadata": { "code_folding": [] }, "source": [ "## Fisheries Simulation Model\n", "\n", "In this notebook, we examine the workings of the Gordon-Schaefer Fisheries Model for a single species.\n", "\n", "Denoting $S(t)$ as the stock at time $t$, we can write the population growth function as\n", "\n", "$$\\frac{\\Delta S}{\\Delta t} = \\frac{\\partial S}{\\partial t} = r S(t) \\left(1- \\frac{S(t)}{K} \\right)$$\n", "\n", "where \n", "$S(t)$ = stock size at time $t$ \n", "$K$ = carrying capacity \n", "$r$ = intrinsic growth rate of the population\n", "\n", "\n", "\n", "Notice that growth $\\left(\\frac{\\partial S}{\\partial t}\\right)$ is stock dependent:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "r = .5\n", "K = 3500\n", "\n", "# generate all possible values of stocks\n", "# in increments of 1\n", "S=np.arange(1,K + 1).reshape((K,1))\n", "\n", "# find growth for each stock size\n", "dSdt = r * S * ( 1- S / K)\n", "\n", "# plot growth as a function of stock\n", "fig, ax = plt.subplots(1,1, figsize=(10, 6))\n", "lw = 1\n", "ax.plot(S,dSdt,lw=lw, c=\"#348ABD\")\n", "ax.set_xlabel(r'Stock Size (S)')\n", "ax.set_ylabel(r\"Stock-Growth $\\left(\\frac{\\partial S}{\\partial t}\\right)$\")\n", "ax.set_xlim(0,3600)\n", "ax.set_ylim(0,500)\n", "plt.title(\"The Stock-Growth Curve\")\n", "sbn.despine()\n", "plt.grid()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "When stock size is low, the growth in stocks is also low. Despite there being lots of ecological resources to support stock growth (since there is relatively little competition due to the low stock size) the growth is small since there isn't enough biomass to lead to the fastest growth. Conversely, when stocks are high (near $K=3500$), ecological constraints make fast growing populations unviable despite there being large numbers of individuals capable of creating new biomass.\n", "\n", "We could also look at this from the standpoint of how the Stock ($S(t)$) and the growth in stocks $\\left(\\frac{\\partial S}{\\partial t}\\right)$ would evolve through time if there was not fishing harvest. We begin with a low value of stocks, and allow the stock to grow for 50 periods." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "time_horizon = 50\n", "hold_stocks = np.zeros((time_horizon,1))\n", "hold_growth = np.zeros((time_horizon,1))\n", "count = 0\n", "hold_stocks[0] = .05\n", "for t in np.arange(1,time_horizon):\n", " hold_growth[count] = r * hold_stocks[count] * (1 - hold_stocks[count]/K)\n", " hold_stocks[count+1] = hold_stocks[count] + hold_growth[count]\n", " count = count + 1\n", "\n", "# plot evolution of stocks as a function of time\n", "plt.figure(figsize=(10, 8))\n", "plt.subplot(2,1,1)\n", "plt.plot(np.arange(time_horizon),hold_stocks,lw=lw, c=\"#348ABD\")\n", "plt.xlabel(\"Time\")\n", "plt.ylabel(\"Stock Size\")\n", "plt.grid()\n", "plt.title(\"The Evolution of Stock size through Time\")\n", "\n", "# plot evolution of growth as a function of time\n", "plt.subplot(2,1,2)\n", "plt.plot(np.arange(time_horizon),hold_growth,lw=lw, c=\"#348ABD\")\n", "plt.xlabel(\"Time\")\n", "plt.ylabel(\"Stock Growth\")\n", "plt.title(\"Stock Growth through Time\")\n", "plt.tight_layout()\n", "plt.grid()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Suppose now we have harvest. Harvest can be produced by fishermen by using the input effort ($E(t)$) which is chosen each time period. The harvest production function is: \n", "\n", "$$\n", "H(t) = \\alpha S(t) E(t)\n", "$$\n", "\n", "where $\\alpha$ is the fraction of the population $S(t)$ that can be barvested with a unit of effort $E(t)$. $\\alpha$ is sometimes termed the catchability coefficient.\n", "\n", "To incorporate harvest, redefine the population growth function as\n", "\n", "$$\n", "\\begin{align}\n", "\\frac{\\Delta S}{\\Delta t} &= \\frac{\\partial S}{\\partial t} - H(t) \\\\\n", " & = r S(t) \\left(1- \\frac{S(t)}{K} \\right) - H(t) \n", "\\end{align}\n", "$$\n", "\n", "Since at steady state growth must be zero, this implies that $$\\frac{\\partial S}{\\partial t} = H(t)$, or\n", "\n", "$$\n", "r S(t) \\left(1- \\frac{S(t)}{K} \\right) = \\alpha S(t) E(t) \n", "$$\n", "\n", "The expression above tells us that at the equilibrium, the fisherman's optimal effort choice must ensure a steady state (harvest equals growth), which occurs at effort level\n", "\n", "$$\n", " E(t) = \\frac{r S(t) \\left(1- \\frac{S(t)}{K} \\right)}{\\alpha S(t)} \n", "$$\n", "\n", "With that finding, we can re-interpret the first figure above to be the Sustainable Harvest curve, since it shows for any viable stock size, that the growth of the stock must be harvested exactly, so that the population remains unchanged. This defines the steady state." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# plot growth as a function of stock\n", "plt.figure(figsize=(10, 6))\n", "plt.subplot(111)\n", "lw = 1\n", "plt.plot(S,dSdt,lw=lw, c=\"#348ABD\")\n", "plt.xlabel(\"Stock Size\")\n", "plt.ylabel(\"Harvest\")\n", "plt.title(\"The Sustainable Harvest Curve\")\n", "plt.xlim(0, 3600)\n", "plt.ylim(0,450)\n", "sbn.despine()\n", "plt.grid()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The work above shows us that we have uniquely identified harvest and effort pairs that define the steady state equlibrium. Consequently, we can reinterpret the sustainable harvest function to be written in terms of effort rather than stocks." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [], "source": [ "alpha = .001\n", "effort_ss = (r * S * (1 - S/K))/(alpha * S)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# plot harvest as a function of stocks\n", "plt.figure(figsize=(10, 6))\n", "plt.subplot(111)\n", "lw = 1\n", "plt.plot(effort_ss,dSdt,lw=lw, c=\"#348ABD\")\n", "plt.xlabel(\"Effort\")\n", "plt.ylabel(\"Harvest\")\n", "plt.title(\"The Sustainable Harvest Curve\")\n", "plt.xlim(0,550)\n", "plt.ylim(0,450)\n", "sbn.despine()\n", "plt.grid()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "An important feature of the above chart is that for each level of effort, there is a corresponding equilibrium stock. These stock effort pairs ensure that for the effort level put in, that harvest will only be exactly equal to the growth in the stock for that period.\n", "\n", "In equilibrium, these pairs $[E(t),S(t)] $ are negatively correlated: high effort is matched to low stocks and low effort is paired with high stocks:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10, 6))\n", "plt.subplot(111)\n", "plt.plot(effort_ss,S,c=\"b\")\n", "plt.xlabel(\"Effort\")\n", "plt.ylabel(\"Stocks\")\n", "plt.xlim(0,550)\n", "plt.ylim(0,3500)\n", "plt.title(\"Steady State Equilibrium Stock-Effort Pairs\")\n", "sbn.despine()\n", "plt.grid()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "With the sustainable harvest curve defined in terms of effort, we only need a couple of more steps to complete our characterization of the open access fishery. We need to\n", "\n", "1. Multiply the sustainable harvest curve times price to construct the sustainable total revenue curve\n", "2. Include the total cost function\n", "\n", "Define total revenues as price times harvest: \n", "$$\n", "TR = p H(t)\n", "$$\n", "\n", "Since fishermen will also consider the costs of effort when making optimal choices, define total costs as\n", "$$\n", "TC = c E(t)\n", "$$\n", "\n", "where $c$ is cost per unit of effort.\n", "\n", "The diagram below shows the **steady state** total revenue and total cost curves and makes explicit the pairing of steady state effort and stock levels that are sustainable:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "p = 10\n", "c = 5\n", "\n", "# for each effort level, calculate\n", "# 1. Sustainable TR = p H\n", "# 2. TC\n", "\n", "TR_ss = dSdt * p\n", "TC = effort_ss * c\n", "\n", "\n", "fix, ax1 = plt.subplots(1,1, figsize=(10,6))\n", "ax1.plot(effort_ss,TR_ss,lw=lw, c=\"b\")\n", "ax1.plot(effort_ss,TC,lw=lw,c='r')\n", "ax1.set_ylabel(\"TR,TC\")\n", "ax1.set_title(\"Sustainable TR and TC as a Function of Effort and Stocks\")\n", "ax1.annotate('TR', xy=(355, 3650), xytext=(425, 4000),\n", " arrowprops=dict(facecolor='black',width=.3,headwidth=5),fontsize=13)\n", "ax1.annotate('TC', xy=(460, 2350), xytext=(435, 2800),\n", " arrowprops=dict(facecolor='black',width=.3,headwidth=5),fontsize=13)\n", "\n", "# turn off x axis\n", "# set the x-spine at zero\n", "ax1.spines['bottom'].set_position('zero')\n", "# we just want a line for the bottom spine/axis\n", "ax1.set_xticks([])\n", "ax1.set_xticklabels([])\n", "\n", "\n", "# Secondary X-axis\n", "ax2 = ax1.twiny()\n", "## Offset the twin axis below the host\n", "ax2.spines[\"bottom\"].set_position((\"axes\", -0.08))\n", "ax2.xaxis.set_ticks_position(\"bottom\")\n", "ax2.xaxis.set_label_position(\"bottom\")\n", "\n", "# set effort ranges and reverse\n", "ax2.set_xticks(range(0,550,50))\n", "ax2.set_xticklabels(reversed(range(0,550,50)))\n", "\n", "\n", "# third axis for stocks\n", "ax3=ax1.twiny()\n", "## Offset the twin axis below the host\n", "ax3.spines[\"bottom\"].set_position((\"axes\", -0.18))\n", "ax3.xaxis.set_ticks_position(\"bottom\")\n", "ax3.xaxis.set_label_position(\"bottom\")\n", "# set stock ranges and reverse\n", "ax3.set_xticks(range(0,3600,500))\n", "ax3.set_xticklabels(reversed(range(0,3600,500)))\n", "\n", "ax1.set_xlim(0,500)\n", "ax1.set_ylim(0,4500)\n", "\n", "plt.figtext(.045, .03, 'Effort')\n", "plt.figtext(.044, -.035, 'Stocks')\n", "\n", "sbn.despine()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In what follows, we do not draw the secondary x axis showing how there is a corresponding stock size for each effort level, but it is implicit in all of the steady state analysis we perform below.\n", "\n", "\n", "## The Open Access Equilibrium\n", "\n", "For an open access fishery, effort can't be optimized for profits. Fishermen will either enter the fishery or if already in the fishery will increase effort in an attempt to capture a larger share of the catch if they observe positive profits. In reality, this means that some vessels might be profitable and others won't be. The profits for the average vessel (or the total profits in the fishery) in the fishery will be zero.\n", "\n", "Consequently, at the open access Equilibrium, $TR = TC$. This means that\n", "\n", "$$TR -TC = pH(t) - cE(t) = p \\alpha S(t) E(t) - c E(t) = 0$$\n", "\n", "which implies that \n", "\n", "$$p \\alpha S(t) - c =0$$\n", "\n", "Therefore, at steady state in an open access equilibrium, stocks are\n", "\n", "$$S^{OA} = \\frac{c}{p\\alpha}$$\n", "\n", "Given $S^{OA} $ we can solve for steady state effort in an open access fishery\n", "$$E^{OA} = \\frac{r S^{OA} \\left(1- \\frac{S^{OA}}{K} \\right)}{\\alpha S^{OA}} $$" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Open Access Equilibrium Stock Size is: 500.0\n", "Open Access Equilibrium Effort is: 428.6\n", "Open Access Profits is: 0.0\n" ] } ], "source": [ "soa = c/(p*alpha)\n", "print(\"Open Access Equilibrium Stock Size is: \", soa)\n", "eoa = r*soa*(1-(soa/K))/(alpha*soa)\n", "print(\"Open Access Equilibrium Effort is: \", round(eoa,1))\n", "revs_oa = p*alpha*soa*eoa\n", "cost_oa = c*eoa\n", "profits_oa = revs_oa - cost_oa\n", "print(\"Open Access Profits is: \", round(profits_oa, 1))" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10, 6))\n", "plt.subplot(111)\n", "plt.plot(effort_ss,TR_ss,c=\"b\")\n", "plt.plot(effort_ss,TC,c='r')\n", "plt.xlabel(\"Effort\")\n", "plt.ylabel(\"TR,TC\")\n", "plt.title(\"Sustainable TR and TC as a function of Effort\")\n", "plt.annotate('TR', xy=(355, 3650), xytext=(425, 4000),\n", " arrowprops=dict(facecolor='black',width=.3,headwidth=5),fontsize=13)\n", "plt.annotate('TC', xy=(460, 2350), xytext=(435, 2800),\n", " arrowprops=dict(facecolor='black',width=.3,headwidth=5),fontsize=13)\n", "plt.annotate('$E^{OA}$', xy=(423, 40), xytext=(380, 350),\n", " arrowprops=dict(facecolor='black',width=.3,headwidth=5),fontsize=13)\n", "plt.plot((eoa, eoa), (0, c*eoa), 'k--')\n", "plt.xlim(0,550)\n", "plt.ylim(0,4500)\n", "sbn.despine()\n", "plt.grid()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Profit Maximizing Effort\n", "\n", "Optimal Equilibrium effort maximizes profits, or the distance between TR and TC. This occurs where\n", "$$\n", "\\frac{\\partial (TR - TC)}{\\partial E} = p\\alpha \\frac{\\partial S(t)}{\\partial E} - c = 0\n", "$$\n", "This is a bit complicated, so we will solve for this numerically.\n", "\n", "> Note: there is no maximize function so we will minimize negative profits (thereby maximizing profits)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Optimization terminated successfully.\n", " Current function value: -3214.285714\n", " Iterations: 26\n", " Function evaluations: 52\n", "Profit Maximizing Steady State Stocks (S*): 2000.0\n", "Profit Maximizing Effort (E*) is 214.29\n", "Total Revenues at E* is 4285.71\n", "Total Costs at E* is 1071.43\n", "Profits at E* is 3214.29\n" ] } ], "source": [ "# negative profit function\n", "negative_profits = lambda s : -1*((p*alpha*s - c) * (r*s*(1-(s/K)))/(alpha*s))\n", "\n", "S_initial_guess = 3000\n", "S_star = fmin(negative_profits, S_initial_guess)\n", "print(\"Profit Maximizing Steady State Stocks (S*): \", S_star[0].round(2))\n", "E_star = r*S_star*(1-(S_star/K))/(alpha*S_star)\n", "print(\"Profit Maximizing Effort (E*) is\", E_star[0].round(2))\n", "revs_star = p*alpha*S_star*E_star\n", "print(\"Total Revenues at E* is\", revs_star[0].round(2))\n", "cost_star = c*E_star\n", "print(\"Total Costs at E* is\",cost_star[0].round(2))\n", "profits_star = revs_star - cost_star\n", "print(\"Profits at E* is \", profits_star[0].round(2))" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10, 6))\n", "plt.subplot(111)\n", "plt.plot(effort_ss,TR_ss,c=\"b\")\n", "plt.plot(effort_ss,TC,c='r')\n", "plt.xlabel(\"Effort\")\n", "plt.ylabel(\"TR,TC\")\n", "plt.title(\"Sustainable TR and TC as a Function of Effort\")\n", "plt.annotate('TR', xy=(355, 3650), xytext=(425, 4000),\n", " arrowprops=dict(facecolor='black',width=.3,headwidth=5),fontsize=13)\n", "plt.annotate('TC', xy=(460, 2350), xytext=(435, 2800),\n", " arrowprops=dict(facecolor='black',width=.3,headwidth=5),fontsize=13)\n", "\n", "plt.annotate('$E^*$', xy=(220, 40), xytext=(230, 350),\n", " arrowprops=dict(facecolor='black',width=.3,headwidth=5),fontsize=13)\n", "\n", "plt.annotate('$E^{OA}$', xy=(423, 40), xytext=(380, 350),\n", " arrowprops=dict(facecolor='black',width=.3,headwidth=5),fontsize=13)\n", "\n", "plt.plot((E_star[0], E_star[0]), (0, revs_star[0]), 'k--')\n", "plt.plot((eoa, eoa), (0, c*eoa), 'k--')\n", "plt.annotate(\n", " '', xy=(E_star+5, revs_star), xycoords='data',\n", " xytext=(E_star+5, cost_star), textcoords='data',\n", " arrowprops={'arrowstyle': '<->'})\n", "plt.annotate(\n", " 'Profits=$%s'%(str(np.around(profits_star[0],2))), xy=(E_star+5, 2500), xycoords='data',\n", " xytext=(5, 0), textcoords='offset points',fontsize=13)\n", "plt.xlim(0,550)\n", "plt.ylim(0,4500)\n", "sbn.despine()\n", "plt.grid()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The solution above may point out what is optimal effort ($E^*$), but unless the common property open access problem is addressed via policy it isn't achievable. \n", "\n", "### Question 1. When is MSY profit maximizing?\n", "\n", "Before answering this question, we need to calculate/define MSY. MSY is the maximum sustainable yield and is the maximum growth the stock can produce. This is the top of the hump in the Stock-Growth figure at the top of this worksheet. At this point, growth is maximized.\n", "\n", "We will solve for $S^{MSY}$ numerically." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Optimization terminated successfully.\n", " Current function value: -437.500000\n", " Iterations: 21\n", " Function evaluations: 42\n", "Maximum Sustainable Yield Stock Size is: 1750.0\n", "Effort at MSY (E_MSY) is 250.0\n", "Total Revenues at $E_MSY$ is 4375.0\n", "Total Costs at E_MSY$ is 1250.0\n", "Profits at E_MSY is 3125.0\n" ] } ], "source": [ "negative_stock_growth = lambda s : -1*(r*s*(1-(s/K)))\n", "\n", "S_initial_guess = 1750\n", "S_msy = fmin(negative_stock_growth, S_initial_guess)\n", "print(\"Maximum Sustainable Yield Stock Size is: \", S_msy[0].round(2))\n", "E_msy = r*S_msy*(1-(S_msy/K))/(alpha*S_msy)\n", "print(\"Effort at MSY (E_MSY) is\", E_msy[0].round(2))\n", "revs_msy = p*alpha*S_msy*E_msy\n", "print(\"Total Revenues at $E_MSY$ is\", revs_msy[0].round(2))\n", "cost_msy = c*E_msy\n", "print(\"Total Costs at E_MSY$ is\",cost_msy[0].round(2))\n", "profits_msy = revs_msy - cost_msy\n", "print(\"Profits at E_MSY is\", profits_msy[0].round(2))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The profit maximizing solution maximizes the distance between $TR$ and $TC$. At this point, notice that the slope of the red line and blue line are equal. This occurs because the optimal solution requires that marginal revenue ($\\frac{\\partial TR}{\\partial E}$) must equal marginal cost ($\\frac{\\partial TC}{\\partial E}$). At profit maximizing effort ($E^*$), if effort is increased, total revenues increase but slower than total costs. So for each additional unit of effort beyond profit maximizing effort, an addition unit of effort costs more than it brings in revenues. Notice that at Maximum Sustainable Yield (MSY), the slope of sustainable total revenue curve is zero:" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10, 6))\n", "plt.subplot(111)\n", "plt.plot(effort_ss,TR_ss,c=\"b\")\n", "plt.plot(effort_ss,TC,c='r')\n", "plt.xlabel(\"Effort\")\n", "plt.ylabel(\"TR,TC\")\n", "plt.title(\"Sustainable TR and TC as a Function of Effort\")\n", "plt.annotate('TR', xy=(355, 3650), xytext=(425, 4000),\n", " arrowprops=dict(facecolor='black',width=.3,headwidth=5),fontsize=13)\n", "plt.annotate('TC', xy=(460, 2350), xytext=(435, 2800),\n", " arrowprops=dict(facecolor='black',width=.3,headwidth=5),fontsize=13)\n", "\n", "plt.annotate('$E^*$', xy=(220, 40), xytext=(230, 350),\n", " arrowprops=dict(facecolor='black',width=.3,headwidth=5),fontsize=13)\n", "\n", "plt.plot((E_star, E_star), (0, revs_star), 'k--')\n", "\n", "plt.annotate('$E^{MSY}$', xy=(260, 40), xytext=(280, 350),\n", " arrowprops=dict(facecolor='black',width=.3,headwidth=5),fontsize=13)\n", "plt.plot((E_msy[0], E_msy[0]), (0, revs_msy[0]), 'k--')\n", "plt.plot((E_msy[0]-100,E_msy[0]+100),(revs_msy[0],revs_msy[0]),'k-',lw=1.5)\n", "plt.xlim(0,550)\n", "plt.ylim(0,4500)\n", "plt.grid()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The profit maximizing solution requires the slope of the red and blue lines to be equal. At $E^{MSY}$, this can only happen if $c=0$, or if the cost of fishing is free. As long as $c>0$, the profit maximizing solution calls for reducing effort below $E^{MSY}$. This also leads to a **higher** stock size." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Question 2. How does technical change impact the analysis?\n", "\n", "We typically associate technical change with making production more efficient. Examining our harvest production function we see that\n", "$$H(t) = \\alpha S(t) E(t)$$\n", "Recall that $\\alpha$ is the catchability coefficient. The higher $\\alpha$ the more will be caught per unit of effort for a given stock size. So let's model technical change as an increase in $\\alpha$. In the preceding analysis, we found that the Sustainable TR and TC curve looked like this:" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10, 6))\n", "plt.subplot(111)\n", "lw = 1\n", "plt.plot(effort_ss,TR_ss,lw=lw, c=\"b\")\n", "plt.plot(effort_ss,TC,lw=lw,c='r')\n", "plt.xlabel(\"Effort\")\n", "plt.ylabel(\"TR,TC\")\n", "plt.title(\"Sustainable TR and TC as a function of Effort\")\n", "plt.annotate('TR', xy=(355, 3650), xytext=(425, 4000),\n", " arrowprops=dict(facecolor='black',width=.3,headwidth=5),fontsize=13)\n", "plt.annotate('TC', xy=(460, 2350), xytext=(435, 2800),\n", " arrowprops=dict(facecolor='black',width=.3,headwidth=5),fontsize=13)\n", "plt.annotate('$E^{OA}$', xy=(423, 40), xytext=(380, 350),\n", " arrowprops=dict(facecolor='black',width=.3,headwidth=5),fontsize=13)\n", "plt.plot((eoa, eoa), (0, c*eoa), 'k--')\n", "plt.xlim(0,550)\n", "plt.ylim(0,4500)\n", "sbn.despine()\n", "plt.grid()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's examine how these curves shift with a higher value of $\\alpha$:" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Old alpha is 0.001\n", "New alpha is 0.0015\n" ] } ], "source": [ "print(\"Old alpha is\", alpha)\n", "alpha = alpha *1.5\n", "print(\"New alpha is\", alpha)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For the sake of brevity, we'll condense the steps and perform all calculations in one code-block and won't plot intermediate results. A couple of things to note:\n", "\n", "1. Biological parameters are not affected by the technical change, except via the harvest function. Since the maximum harvest levels one can sustain at steady state is dictated by the maximum growth rate of the population, maximum total revenues will be unchanged, except that it will now take less effort to achieve.\n", "2. Total costs are not impacted by technical change except by changing optimal effort levels." ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# for each stock size, store steady state effort\n", "effort_ss_tech = (r * S * (1 - S/K))/(alpha*S)\n", " \n", "TR_ss_tech = dSdt * p\n", "TC_tech = effort_ss_tech * c\n", "\n", "plt.figure(figsize=(10, 6))\n", "plt.subplot(111)\n", "lw = 1\n", "plt.plot(effort_ss,TR_ss,lw=lw, c=\"b\")\n", "plt.plot(effort_ss,TC,lw=lw,c='r')\n", "\n", "plt.plot(effort_ss_tech,TR_ss_tech,lw=lw, c=\"g\")\n", "plt.plot(effort_ss_tech,TC_tech,lw=lw,c='r')\n", "\n", "plt.xlabel(\"Effort\")\n", "plt.ylabel(\"TR,TC\")\n", "plt.title(\"Sustainable TR and TC as a Function of Effort\")\n", "plt.annotate('TR $a = .001$', xy=(355, 3650), xytext=(400, 4000),\n", " arrowprops=dict(facecolor='black',width=.3,headwidth=5),fontsize=13)\n", "\n", "plt.annotate('TR ($a = .0015$)', xy=(275, 2750), xytext=(325, 3200),\n", " arrowprops=dict(facecolor='black',width=.3,headwidth=5),fontsize=13)\n", "\n", "plt.annotate('TC', xy=(460, 2350), xytext=(435, 2800),\n", " arrowprops=dict(facecolor='black',width=.3,headwidth=5),fontsize=13)\n", "plt.xlim(0,550)\n", "plt.ylim(0,4500)\n", "sbn.despine()\n", "plt.grid()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that effort goes down even in an open access setting. The maximum total revenues is unchanged (at approximately \\$4500), although it requires less effort after the improvement in technology. Given our results above, it might be tempting to think that this is a **good** outcome for stocks since we showed the inverse relationship between steady state equilibrium stocks and effort. Does less effort equate to higher stocks compared to the case where $\\alpha=.001$?\n", "\n", "To see this we will solve for open access effort levels under the new technology regime and then compare to the original solution with the old technology." ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Open Access Equilibrium Stock Size with new technology is 333.33\n", "Open Access Equilibrium Stock Size with old technology was 500.0\n", "Open Access Equilibrium Effort with new technology is 301.59\n", "Open Access Equilibrium Effort with old technology was 428.57\n", "Open Access Equilibrium Profits with new technology is 0.0\n", "Open Access Equilibrium Profits with old technology was 0.0\n", "\n", "Stocks lowered by -33.333333 percent: \n" ] } ], "source": [ "soa_tech = c/(p*alpha)\n", "print(\"Open Access Equilibrium Stock Size with new technology is\", round(soa_tech,2))\n", "print(\"Open Access Equilibrium Stock Size with old technology was\", soa)\n", "eoa_tech = r*soa_tech*(1-(soa_tech/K))/(alpha*soa_tech)\n", "print(\"Open Access Equilibrium Effort with new technology is\", round(eoa_tech,2))\n", "print(\"Open Access Equilibrium Effort with old technology was\", round(eoa,2))\n", "revs_oa_tech = p*alpha*soa_tech*eoa_tech\n", "cost_oa_tech = c*eoa_tech\n", "profits_oa_tech = revs_oa_tech - cost_oa_tech\n", "print(\"Open Access Equilibrium Profits with new technology is\", profits_oa_tech)\n", "print(\"Open Access Equilibrium Profits with old technology was\", profits_oa)\n", "print(\"\\nStocks lowered by %f percent: \"% (100*(soa_tech - soa)/soa))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The technical change brought **no** change to the economic condition of the fishery (since profits are zero before and after), but lowered stocks considerably. \n", "\n", "What about the condition of the fishery at profit maximizing levels under the new technology?" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Optimization terminated successfully.\n", " Current function value: -3581.349206\n", " Iterations: 26\n", " Function evaluations: 52\n", "Profit Maximizing Steady State Stocks (S*) with new tech are 1916.67\n", "Profit Maximizing Steady State Stocks (S*) with old tech are 2000.0\n", "Profit Maximizing Effort (E*) with new tech is 150.79\n", "Profit Maximizing Effort (E*) with old tech is 214.29\n", "Total Revenues at E* with new tech is 4335.32\n", "Total Revenues at E* with old tech is 4285.71\n", "Total Costs at E* with new tech is 753.97\n", "Total Costs at E* with new tech is 1071.43\n", "Profits at E* with new tech is 3581.35\n", "Profits at E* with old tech is 3214.29\n", "\n", "Stocks lowered by -4.166669 percent\n" ] } ], "source": [ "S_initial_guess = 3000\n", "S_star_tech = fmin(negative_profits, S_initial_guess)\n", "print(\"Profit Maximizing Steady State Stocks (S*) with new tech are\", S_star_tech[0].round(2))\n", "print(\"Profit Maximizing Steady State Stocks (S*) with old tech are\", S_star[0].round(2))\n", "E_star_tech = r*S_star_tech*(1-(S_star_tech/K))/(alpha*S_star_tech)\n", "print(\"Profit Maximizing Effort (E*) with new tech is\", E_star_tech[0].round(2))\n", "print(\"Profit Maximizing Effort (E*) with old tech is\", E_star[0].round(2))\n", "revs_star_tech = p*alpha*S_star_tech*E_star_tech\n", "print(\"Total Revenues at E* with new tech is\", revs_star_tech[0].round(2))\n", "print(\"Total Revenues at E* with old tech is\", revs_star[0].round(2))\n", "cost_star_tech = c*E_star_tech\n", "print(\"Total Costs at E* with new tech is\",cost_star_tech[0].round(2))\n", "print(\"Total Costs at E* with new tech is\",cost_star[0].round(2))\n", "profits_star_tech = revs_star_tech - cost_star_tech\n", "print(\"Profits at E* with new tech is\", profits_star_tech[0].round(2))\n", "print(\"Profits at E* with old tech is\", profits_star[0].round(2))\n", "print(\"\\nStocks lowered by %f percent\"% (100*(S_star_tech - S_star)/S_star))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "So if we could get to a profit maximizing solution while overcoming the open access problem, profits are higher with the new technology, while effort is decreased. Furthermore, while stocks decrease the decrease is much smaller than under the Open Access case with a technical change considered above." ] } ], "metadata": { "hide_input": false, "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": "3.10.6" } }, "nbformat": 4, "nbformat_minor": 4 }