diff --git a/rabbits-and-foxes-kmc-answer.ipynb b/rabbits-and-foxes-kmc-answer.ipynb new file mode 100644 index 0000000..24bccaf --- /dev/null +++ b/rabbits-and-foxes-kmc-answer.ipynb @@ -0,0 +1,324 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Rabbits and foxes\n", + "\n", + "There are initially 400 rabbits and 200 foxes on a farm (but it could be two cell types in a 96 well plate or something, if you prefer bio-engineering analogies). Plot the concentration of foxes and rabbits as a function of time for a period of up to 600 days. The predator-prey relationships are given by the following set of coupled ordinary differential equations:\n", + "\n", + "\\begin{align}\n", + "\\frac{dR}{dt} &= k_1 R - k_2 R F \\tag{1}\\\\\n", + "\\frac{dF}{dt} &= k_3 R F - k_4 F \\tag{2}\\\\\n", + "\\end{align}\n", + "\n", + "* Constant for growth of rabbits $k_1 = 0.015$ day-1\n", + "* Constant for death of rabbits being eaten by foxes $k_2 = 0.00004$ day-1 foxes-1\n", + "* Constant for growth of foxes after eating rabbits $k_3 = 0.0004$ day-1 rabbits-1\n", + "* Constant for death of foxes $k_4 = 0.04$ day-1\n", + "\n", + "*This problem is based on one from Chapter 1 of H. Scott Fogler's textbook \"Essentials of Chemical Reaction Engineering\".*\n" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "%matplotlib inline\n", + "import numpy as np\n", + "from matplotlib import pyplot as plt" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Now let's try some Kinetic Monte Carlo" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We wish to implement a Kinetic Monte Carlo algorithm to simulate the same situation. See https://en.wikipedia.org/wiki/Kinetic_Monte_Carlo for details.\n", + "\n", + "We'll assume the numbers of rabbits and foxes (starting at 400 and 200) are actual rabbits and foxes, not \"rabbit densities\" for example, and so must always remain integers: you can't have half a rabbit or half a fox.\n", + "\n", + "There are four events, with rates that are straightforward to calculate, so the rejection-free algorithm is suitable:\n", + "* `rabbit_birth = k_1 * rabbits`\n", + "* `rabbit_death = k2 * rabbits * foxes`\n", + "* `fox_birth = k3 * rabbits * foxes`\n", + "* `fox_death = k4 * foxes`\n", + "\n", + "\n", + "Use a Kinetic Monte Carlo simulation to determine\n", + "1. The expected location of the second peak in foxes (eg. 425 days, 2800 foxes), on occasions that there is one (eg. if there's a peak that's >200 days and >100 foxes)\n", + "2. The interquartile range of the second peak in foxes (eg. 411-443 days, 2700-3120 foxes).\n", + "3. The probability that the foxes die out before 600 days are complete\n", + "\n", + "Make sure you've done enough simulations to be suitably confident in your answers (given the precision you think appropriate)." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Your turn!" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "........................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................" + ] + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Everything died 18 times out of 1000 or 1.8%\n", + "Foxes died 708 times out of 1000 or 70.8%\n" + ] + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Second peak (days) is 397.6 with IQR [377.7-413.9] \n" + ] + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Second peak (foxes) is 2347.2 with IQR [1933.5-2689.5] \n" + ] + } + ], + "source": [ + "import random\n", + "random.seed(1) # so results don't change every time I execute\n", + "np.random.seed(1) # same thing for numpy\n", + "k1 = 0.015\n", + "k2 = 0.00004\n", + "k3 = 0.0004\n", + "k4 = 0.04\n", + "end_time = 600\n", + "\n", + "def get_rates(rabbits, foxes):\n", + " \"\"\"\n", + " Return the rates (expected events per day) as a tuple:\n", + " (rabbit_birth, rabbit_death, fox_birth, fox_death)\n", + " \"\"\"\n", + " rabbit_birth = k1 * rabbits \n", + " rabbit_death = k2 * rabbits * foxes\n", + " fox_birth = k3 * rabbits * foxes \n", + " fox_death = k4 * foxes\n", + " return (rabbit_birth, rabbit_death, fox_birth, fox_death)\n", + "\n", + "dead_foxes = 0\n", + "dead_everything = 0\n", + "runs = 1000\n", + "\n", + "second_peak_times = []\n", + "second_peak_foxes = []\n", + "\n", + "mean_times = np.zeros(runs)\n", + "mean_foxes = np.zeros(runs)\n", + "upper_quartile_times = np.zeros(runs)\n", + "lower_quartile_times = np.zeros(runs)\n", + "upper_quartile_foxes = np.zeros(runs)\n", + "lower_quartile_foxes = np.zeros(runs)\n", + "\n", + "\n", + "for run in range(runs):\n", + " print('.',end='')\n", + " time = 0\n", + " rabbit = 400\n", + " fox = 200\n", + " # we don't know how long these will be so start as lists and convert to arrays later\n", + " times = []\n", + " rabbits = []\n", + " foxes = []\n", + "\n", + " while time < end_time:\n", + " times.append(time)\n", + " rabbits.append(rabbit)\n", + " foxes.append(fox)\n", + " (rabbit_birth, rabbit_death, fox_birth, fox_death) = rates = get_rates(rabbit, fox)\n", + " sum_rates = sum(rates)\n", + " if sum_rates == 0:\n", + " # print(\"everything dead at t=\",time)\n", + " dead_everything += 1\n", + " times.append(end_time)\n", + " rabbits.append(rabbit)\n", + " foxes.append(fox)\n", + " break\n", + " wait_time = random.expovariate( sum_rates )\n", + " time += wait_time\n", + " choice = random.uniform(0, sum_rates)\n", + " # Imagine we threw a dart at a number line with span (0, sum_rates) and it hit at \"choice\"\n", + " # Foxes change more often than rabbits, so we'll be faster if we check them first!\n", + " choice -= fox_birth\n", + " if choice < 0:\n", + " fox += 1 # fox born\n", + " continue\n", + " choice -= fox_death\n", + " if choice < 0:\n", + " fox -= 1 # fox died\n", + " if fox == 0:\n", + " #print(\"Foxes all died at t=\",time)\n", + " dead_foxes += 1\n", + " ## Break here to speed things up (and not track the growing rabbit population)\n", + " continue\n", + " if choice < rabbit_birth:\n", + " rabbit += 1 # rabbit born\n", + " continue\n", + " rabbit -= 1 # rabbit died\n", + " \n", + " times = np.array(times)\n", + " rabbits = np.array(rabbits)\n", + " foxes = np.array(foxes)\n", + " \n", + " index_of_second_peak = np.argmax(foxes*(times>200)*(foxes>100))\n", + " if index_of_second_peak:\n", + " second_peak_times.append(times[index_of_second_peak])\n", + " second_peak_foxes.append(foxes[index_of_second_peak])\n", + " \n", + " if len(second_peak_times)>0:\n", + " mean_times[run] = np.mean(second_peak_times)\n", + " mean_foxes[run] = np.mean(second_peak_foxes)\n", + " upper_quartile_times[run] = np.percentile(second_peak_times,75)\n", + " lower_quartile_times[run] = np.percentile(second_peak_times,25)\n", + " upper_quartile_foxes[run] = np.percentile(second_peak_foxes,75)\n", + " lower_quartile_foxes[run] = np.percentile(second_peak_foxes,25)\n", + "\n", + " # We don't want to plot too many lines, but would be fun to see a few\n", + " if run < 50:\n", + " plt.plot(times, rabbits, 'b')\n", + " plt.plot(times, foxes, 'g')\n", + "plt.legend(['rabbits','foxes'],loc=\"best\") # put the legend at the best location to avoid overlapping things\n", + "plt.ylim(0,3000)\n", + "plt.show()\n", + "\n", + "\n", + "print(\"Everything died {} times out of {} or {:.1f}%\".format(dead_everything, runs, 100*dead_everything/runs))\n", + "print(\"Foxes died {} times out of {} or {:.1f}%\".format(dead_foxes, runs, 100*dead_foxes/runs))\n", + "\n", + "plt.semilogx(mean_times,'-r')\n", + "plt.semilogx(upper_quartile_times,':r')\n", + "plt.semilogx(lower_quartile_times,':r')\n", + "plt.ylabel('Second peak time (days)')\n", + "plt.xlim(10)\n", + "plt.show()\n", + "print(\"Second peak (days) is {:.1f} with IQR [{:.1f}-{:.1f}] \".format(mean_times[-1], lower_quartile_times[-1], upper_quartile_times[-1]))\n", + "\n", + "\n", + "plt.semilogx(mean_foxes,'-k')\n", + "plt.semilogx(upper_quartile_foxes,':k')\n", + "plt.semilogx(lower_quartile_foxes,':k')\n", + "plt.ylabel('Second peak foxes')\n", + "plt.xlim(10)\n", + "plt.show()\n", + "print(\"Second peak (foxes) is {:.1f} with IQR [{:.1f}-{:.1f}] \".format(mean_foxes[-1], lower_quartile_foxes[-1], upper_quartile_foxes[-1]))\n" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from matplotlib.colors import LogNorm\n", + "plt.hist2d(second_peak_times, second_peak_foxes, bins=40, norm=LogNorm())\n", + "plt.xlim(0,600)\n", + "plt.ylim(0)\n", + "plt.colorbar()\n", + "plt.axvline(200,linestyle=':')\n", + "plt.axvline(mean_times[-1],color='r')\n", + "plt.axhline(100,linestyle=':')\n", + "plt.axhline(mean_foxes[-1],color='k')\n", + "plt.show()\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "anaconda-cloud": {}, + "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": "3.10.4" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} diff --git a/rabbits-and-foxes-kmc-question.ipynb b/rabbits-and-foxes-kmc-question.ipynb index 657efb4..687148a 100644 --- a/rabbits-and-foxes-kmc-question.ipynb +++ b/rabbits-and-foxes-kmc-question.ipynb @@ -23,7 +23,7 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -62,6 +62,13 @@ "Make sure you've done enough simulations to be suitably confident in your answers (given the precision you think appropriate)." ] }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, { "cell_type": "markdown", "metadata": {}, @@ -69,6 +76,13 @@ "# Your turn!" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Done in class, on Friday October 3rd, 2025" + ] + }, { "cell_type": "code", "execution_count": null, @@ -79,6 +93,82 @@ } }, "outputs": [], + "source": [ + "\n", + "time = 0\n", + "rabbit = 400\n", + "fox = 200\n", + "\n", + "times = [time]\n", + "rabbits = [rabbit]\n", + "foxes = [fox]\n", + "\n", + "end_time = 600\n", + "\n", + "k1 = 0.015 # Rabbit birth rate /day\n", + "k2 = 0.00004 # Rabbit death /day/fox\n", + "k3 = 0.0004 # Fox birth rate /day/rabbit\n", + "k4 = 0.04 # Fox death rate /day\n", + "\n", + "while time < end_time:\n", + " rate_rabbit_birth = k1 * rabbit\n", + " rate_rabbit_death = k2 * rabbit * fox\n", + " rate_fox_birth = k3 * rabbit * fox\n", + " rate_fox_death = k4 * fox\n", + "\n", + " rates = np.array([rate_rabbit_birth, rate_rabbit_death,\n", + " rate_fox_birth, rate_fox_death])\n", + " cumulative_rates = rates.cumsum()\n", + " total_rate = cumulative_rates[-1]\n", + "\n", + " u = np.random.uniform(0, 1)\n", + " event = -1 # invalid event\n", + " for i, cum_rate in enumerate(cumulative_rates):\n", + " if cum_rate / total_rate > u:\n", + " event = i\n", + " break\n", + " # carry out the event\n", + " if event == 0:\n", + " rabbit += 1\n", + " elif event == 1:\n", + " rabbit -= 1\n", + " elif event == 2:\n", + " fox += 1\n", + " elif event == 3:\n", + " fox -= 1\n", + " else:\n", + " raise ValueError(\"event not in 0,1,2,3\")\n", + "\n", + " break # exit the loop, while it's incomplete" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "for n in range(10):\n", + " u = np.random.uniform(0, 1)\n", + " for i, cum_rate in enumerate(cumulative_rates):\n", + " if cum_rate / total_rate > u:\n", + " event = i\n", + " break\n", + " print(u, event)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [] } ],