{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# The emergence of cooperation in evolutionary systems\n", "\n", "Notes for [_An evolutionary advantage of cooperation_](https://arxiv.org/abs/1506.03414) - Peters and Adamou 2018" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This paper tackles the apparently paradoxical emergence of cooperation patterns under evolutionary dynamics. \n", "Why do we observe seemingly _altruistic_ behavior in systems where organisms compete for resources and only the fittest thrive (the so called _survival of the fittest_)? \n", "Classical solutions propose a net fitness gain from colaboration. The authors seek to explain this gain through the analysis of the time average growth rate for the fitness of the collaborating organisms." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Consider a species in their transition from single cell to multicellular organisms. This change occurs when cells agglomerate and begin sharing nutrients through common membranes, increasing their biomass. Entities with more biomass come to dominate the environment and generate more of themselves. \n", "\n", "The paper proposes the following dynamics for the system:\n", "- entities gain biomass according to an [Itô diffusion](https://en.wikipedia.org/wiki/Itô_diffusion) process, where the change in biomass for entity $x_i$ is:\n", "\n", "$$d x_i = x_i(\\mu dt + \\sigma d \\mathit{W_i})$$\n", "\n", "where $\\mu$ is the drift, $\\sigma$ the volatility and $\\mathit{W_i}$ is a [Wiener process](https://en.wikipedia.org/wiki/Wiener_process).\n", "- the growth rate over time $T$ is defined as\n", "\n", "$$g(x_i, T) \\equiv \\frac{1}{T} \\ln{\\Big( \\frac{x_i(T)}{x_i(0)} \\Big)}$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Cooperation protocol" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The baseline model consists of $N$ non-cooperating entities $x_i$. This system is compared to one where a mutation is introduced that hard wires cooperation into the entities. The _cooperators_, hence referred to as $y_i$, pool resources and then share them equally.\n", "\n", "The growth phase is the same for all entities in both systems (cooperators and non-cooperators)\n", "\n", "$$ \\Delta x_i(t) = x_i(t)(\\mu \\Delta t + \\sigma \\xi_i \\sqrt{\\Delta t})$$\n", "\n", "where $\\xi_i$ are iid variates with $\\xi_{i} \\sim \\mathcal{N}(0,1)$\n", "\n", "Then there is a cooperating phase, and the cooperators' biomass at time $t + \\Delta t$ is given by\n", "\n", "$$ y_{i}(t+\\Delta t)=\\frac{1}{N} \\sum_{j=1}^{N}\\left(y_{j}(t)+\\Delta y_{j}(t)\\right)=y_{i}(t)+\\frac{1}{N} \\sum_{j=1}^{N} \\Delta y_{j}(t) $$\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Analysis of the system" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Looked at from the ensemble averaging perspective, given identical initial biomasses $x_i(0) = y_i(0)$ we have\n", "\n", "$$\\left\\langle x_{i}(t)\\right\\rangle = \\left\\langle y_{i}(t)\\right\\rangle = x_{i}(0) \\exp (\\mu t)$$\n", "\n", "Moreover, in a cooperating pair, the entity with higher initial biomass could increase its expectation value by breaking off the cooperation. \n", "\n", "The answer to the paradox comes when the system is looked at through the time-averaging perspective. The authors show that non-cooperators grow at \n", "\n", "$$\\overline{g}\\left(x_{i}\\right)=\\mu-\\sigma^{2} / 2$$\n", "\n", "whereas cooperators grow at\n", "\n", "$$\\overline{g}\\left(y^{(N)}\\right)=\\mu-\\frac{\\sigma^{2}}{2 N}$$\n", "\n", "where\n", "\n", "\\begin{equation}\n", "\\overline{g}\\left(y^{(N)}\\right)-\\overline{g}\\left(x_{i}\\right)=\\frac{\\sigma^{2}}{2}\\left(1-\\frac{1}{N}\\right) \\\\\n", "\\overline{g}\\left(y^{(N)}\\right) > \\overline{g}\\left(x_{i}\\right) ,\\, N > 1\n", "\\end{equation}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Plots" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%config InlineBackend.figure_format=\"retina\"\n", "\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from matplotlib import animation\n", "from IPython.display import HTML\n", "\n", "plt.style.use(\"seaborn-whitegrid\")" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "plt.rcParams[\"figure.figsize\"] = (14, 8)\n", "np.random.seed(5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The chart from the paper showing the expectation value, growth rate for non colaborating and for $N = 2$ colaborating entities." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "image/png": { "height": 478, "width": 834 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Taken from https://www.researchers.one/media/documents/194-s-cooperate.py\n", "#\n", "# Created 07 May 2019\n", "# Code to generate Fig.2 of Peters and Adamou \n", "# \"An evolutionary advantage of cooperation\"\n", "# @author: Ole Peters\n", "\n", "mu=.15\n", "sigma=np.sqrt(.2)\n", "T = 10000\n", "dt=.1\n", "t=np.arange(0,(T+1)*dt,dt)\n", "sdt=np.sqrt(dt)\n", "\n", "#expectation value and time-average slopes\n", "expectation=np.exp(mu*t)\n", "t_growth_individual=np.exp((mu-sigma*sigma/2)*t)\n", "t_growth_coop=np.exp((mu-sigma*sigma/4)*t)\n", "\n", "#Generate wealth of individual 1\n", "noise_1=np.random.normal(loc=1+mu*dt, scale=sigma*sdt, size=T)\n", "wealth_1=np.cumprod(noise_1)\n", "wealth_1=np.insert(wealth_1,0,1)\n", "\n", "#Generate wealth of individual 2\n", "noise_2=np.random.normal(loc=1+mu*dt, scale=sigma*sdt, size=T)\n", "wealth_2=np.cumprod(noise_2)\n", "wealth_2=np.insert(wealth_2,0,1)\n", "\n", "#Generate average wealth of individuals\n", "wealth_ave=(wealth_1+wealth_2)/2\n", "\n", "#Generate wealth of cooperating individuals\n", "noise_co=(noise_1+noise_2)/2\n", "wealth_co=np.cumprod(noise_co)\n", "wealth_co=np.insert(wealth_co,0,1)\n", "\n", "#Plotting...\n", "plt.plot(t,expectation,'m--',label=r'slope $g(\\langle x \\rangle)$')\n", "plt.plot(t,t_growth_coop,'b--', label=r'slope $\\bar{g}(y^{(2)})$')\n", "plt.plot(t,t_growth_individual,'g--', label=r'slope $\\bar{g}(x_i)$')\n", "\n", "plt.plot(t,wealth_co,'b-',linewidth=3, label=r'$y^{(2)}(t)/2$')\n", "plt.plot(t,wealth_1,color='#00ff00',linewidth=3, label=r'$x_1(t)$')\n", "plt.plot(t,wealth_2,color='#55bb55',linewidth=3, label=r'$x_2(t)$')\n", "plt.plot(t,wealth_ave,'k-',linewidth=1, label=r'$(x_1(t)+x_2(t))/2$')\n", "\n", "plt.yscale('log')\n", "plt.legend()\n", "plt.xlabel('time, $t$')\n", "plt.ylabel('biomass')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As the authors point out:\n", "\n", "> In a very literal mathematical sense the whole, $y_1(t)+y_2(t)$, is more than the sum of its parts, $x_1(t) + x_2(t)$. The algebra of cooperation is not merely that of summation." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next we'll visualize how the total biomass grows for systems of cooperating vs non-cooperating entities with populations $N \\in \\{2, 3, 4, 5\\}$. \n", "\n", "For this, we'll build generators that produce an array of biomasses for each time step." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "mu = 0.15\n", "sigma = np.sqrt(0.2)\n", "dt = 1\n", "sdt = np.sqrt(dt)\n", "\n", "initial_biomass = 10 # All entities start with equal biomass \n", "\n", "def increase_biomass(initial_biomasses):\n", " \"\"\"Yield biomasses of non-cooperating and cooperating entities for each time step\"\"\"\n", " non_coop_masses = coop_masses = initial_biomasses\n", " N = len(initial_biomasses)\n", " while True:\n", " yield non_coop_masses, coop_masses\n", " xi = np.random.normal(size=N) \n", " non_coop_masses = non_coop_masses + non_coop_masses * (mu * dt + sigma * xi * sdt)\n", " delta_y = np.sum(coop_masses * (mu * dt + sigma * xi * sdt)) / N\n", " coop_masses += delta_y" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "%%capture\n", "\n", "fig, axes = plt.subplots(2, 2)\n", "\n", "title = fig.suptitle(\"Time\", fontsize=22)\n", "\n", "x_marks = [1, 2]\n", "labels = [r\"$x(t)$\", r\"$y(t)$\"]\n", "\n", "barplots = []\n", "for i in range(2):\n", " for j in range(2):\n", " axes[i, j].set_title(\"N = {}\".format((2 << i) + j))\n", " axes[i, j].set_xlim([0, 3])\n", " axes[i, j].set_ylim([1, 1E12])\n", " axes[i, j].set_yscale(\"log\")\n", " axes[i, j].set_ylabel(\"Total biomass\")\n", " axes[i, j].set_xticks(x_marks)\n", " axes[i, j].set_xticklabels(labels)\n", " bars = axes[i, j].bar(x_marks, [initial_biomass, initial_biomass], color=(\"#00876c\", \"#d43d51\"))\n", " barplots.append(bars)\n", "\n", "biomasses = {}\n", "for N in [2, 3, 4, 5]:\n", " initial_biomasses = np.full(N, initial_biomass, dtype=np.float)\n", " biomasses[N] = increase_biomass(initial_biomasses)\n", "\n", "def animate(t):\n", " for N, bars in zip([2, 3, 4, 5], barplots):\n", " bar_non_coop, bar_coop = bars\n", " biomasses_non_coop, biomasses_coop = next(biomasses[N])\n", " \n", " bar_non_coop.set_height(np.sum(biomasses_non_coop))\n", " bar_coop.set_height(np.sum(biomasses_coop))\n", "\n", " title.set_text(\"Time = {}\".format(t))\n", " \n", "anim = animation.FuncAnimation(fig, animate,\n", " frames=300, interval=50)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", "\n", "
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