{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "simuPOP Version 1.1.6 : Copyright (c) 2004-2011 Bo Peng\n", "Revision 4972 (May 1 2015) for Python 2.7.9 (64bit, 1thread)\n", "Random Number Generator is set to mt19937 with random seed 0x1204bc1a4d56a15d.\n", "This is the standard short allele version with 256 maximum allelic states.\n", "For more information, please visit http://simupop.sourceforge.net,\n", "or email simupop-list@lists.sourceforge.net (subscription required).\n" ] } ], "source": [ "from __future__ import division\n", "from collections import defaultdict, OrderedDict\n", "from copy import deepcopy\n", "import random\n", "\n", "import numpy as np\n", "import seaborn as sns\n", "sns.set_style('white')\n", "import matplotlib.pyplot as plt\n", "\n", "import simuPOP as sp\n", "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [], "source": [ "def kill(pop):\n", " kills = []\n", " for i in pop.individuals():\n", " if i.sex() == 1:\n", " cut = pop.dvars().survival_male[int(i.age)]\n", " else:\n", " cut = pop.dvars().survival_female[int(i.age)]\n", " if pop.dvars().gen > pop.dvars().cut_gen and i.age == 2:\n", " cut = 0\n", " if random.random() > cut:\n", " kills.append(i.ind_id)\n", " pop.removeIndividuals(IDs=kills)\n", " return True" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [], "source": [ "def choose_parents(pop):\n", " #name convention required\n", " fathers = []\n", " mothers = []\n", "\n", " for ind in pop.individuals():\n", " if ind.sex() == 1:\n", " fathers.extend([ind] * pop.dvars().male_age_fecundity[int(ind.age)])\n", " else:\n", " ind.num_kids = 0\n", " mothers.append(ind)\n", " while True:\n", " father = random.choice(fathers)\n", " mother_ok = False\n", " while not mother_ok:\n", " mother = random.choice(mothers)\n", " if mother.num_kids < pop.dvars().max_kids[int(mother.age)]:\n", " mother.num_kids += 1\n", " mother_ok = True\n", " yield father, mother\n", " \n", "def calc_demo(gen, pop):\n", " if gen > pop.dvars().cut_gen:\n", " add_females = len([ind for ind in pop.individuals([0, 2]) if ind.sex() == 2])\n", " else:\n", " add_females = 0\n", " return pop_size + pop.subPopSize([0, 3]) + add_females" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [], "source": [ "mating_scheme = sp.HeteroMating([\n", " sp.HomoMating(\n", " sp.PyParentsChooser(choose_parents),\n", " sp.OffspringGenerator(numOffspring=1, ops=[\n", " sp.MendelianGenoTransmitter(), sp.IdTagger()]),\n", " weight=1),\n", " sp.CloneMating(weight=-1)],\n", " subPopSize=calc_demo)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [], "source": [ "pop_size = 300\n", "num_loci = 50\n", "num_alleles = 10\n", "num_gens = 90\n", "cut_gen = 50\n", "#max_age = 3\n", "max_kids = [0, 0, float('inf'), 1]\n", "male_age_fecundity = [0, 0, 2, 1]\n", "survival_male = [1, 0.8, 0.8, 0]\n", "survival_female = [1, 0.9, 0.9, 0]" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [], "source": [ "pops = sp.Population(pop_size, loci=[1] * num_loci, infoFields=['age', 'ind_id', 'num_kids'])\n", "pops.setVirtualSplitter(sp.InfoSplitter(field='age', cutoff=[1, 2, 3]))" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [], "source": [ "init_ops = OrderedDict()\n", "pre_ops = OrderedDict()\n", "post_ops = OrderedDict()" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [], "source": [ "def init_age(pop):\n", " pop.dvars().male_age_fecundity = male_age_fecundity\n", " pop.dvars().survival_male = survival_male\n", " pop.dvars().survival_female = survival_female\n", " pop.dvars().max_kids = max_kids\n", " pop.dvars().cut_gen = cut_gen\n", " return True" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [], "source": [ "def init_accumulators(pop, param):\n", " accumulators = param\n", " for accumulator in accumulators:\n", " pop.vars()[accumulator] = []\n", " return True\n", "\n", "def update_pyramid(pop):\n", " pyr = defaultdict(int)\n", " for ind in pop.individuals():\n", " pyr[(int(ind.age), int(ind.sex()))] += 1\n", " pop.vars()['age_pyramid'].append(pyr)\n", " return True\n", "\n", "def update_ldne(pop):\n", " pop.vars()['ldne'].append(pop.dvars().Ne_LD[0.05])\n", " return True" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [], "source": [ "init_ops['Sex'] = sp.InitSex()\n", "init_ops['ID'] = sp.IdTagger()\n", "init_ops['accumulators'] = sp.PyOperator(init_accumulators, param=['ldne', 'age_pyramid'])\n", "init_ops['Freq'] = sp.InitGenotype(freq=[1 / num_alleles] * num_alleles)\n", "init_ops['Age-prepare'] = sp.PyOperator(init_age)\n", "init_ops['Age'] = sp.InitInfo(lambda: random.randint(0, len(survival_male) - 1), infoFields='age')\n", "pre_ops['Kill'] = sp.PyOperator(kill)\n", "pre_ops['Age'] = sp.InfoExec('age += 1')\n", "pre_ops['pyramid_accumulator'] = sp.PyOperator(update_pyramid)\n", "post_ops['Ne'] = sp.Stat(effectiveSize=sp.ALL_AVAIL, subPops=[[0, 0]], vars=['Ne_LD'])\n", "post_ops['Ne_accumulator'] = sp.PyOperator(update_ldne)\n", "#post_ops['count'] = sp.PyEval(r'\"gen %d, size %d\\n\" % (gen, pop.popSize())', exposePop='pop')" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(90L,)" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sim = sp.Simulator(pops, rep=1)\n", "sim.evolve(initOps=init_ops.values(), preOps=pre_ops.values(), postOps=post_ops.values(),\n", " matingScheme=mating_scheme, gen=num_gens)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [], "source": [ "ld_ne = sim.population(0).dvars().ldne\n", "pyramid = sim.population(0).dvars().age_pyramid" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/tra/anaconda3/envs/bio2/lib/python2.7/site-packages/matplotlib/axes/_axes.py:475: UserWarning: No labelled objects found. Use label='...' kwarg on individual plots.\n", " warnings.warn(\"No labelled objects found. \"\n" ] }, { "data": { "image/png": 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J2/6ynrYxxhhjTEXNo7olzp29FTjNe39nfOwzhCZRU733SfD6MHC+c24IobHJdnRckHfV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\n5q2qI7GJ/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nxRsc/p801XXK0T1huZTwm5EMYA7LfO+v56rlM9dYJfB2Dn+/Ds17MRpBLv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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.set_palette('husl')\n", "\n", "fig = plt.figure(figsize=(16, 9))\n", "ax_ldne = fig.add_subplot(211)\n", "ax_ldne.plot([x[0] for x in ld_ne[10:]])\n", "ax_ldne.plot([x[1] for x in ld_ne[10:]], 'k--')\n", "ax_ldne.plot([x[2] for x in ld_ne[10:]], 'k--')\n", "ax_ldne.set_xticks(range(0, 81, 10))\n", "ax_ldne.set_xticklabels([str(x) for x in range(10, 91, 10)])\n", "ax_ldne.axvline(cut_gen - 10)\n", "ax_ldne.set_xlabel('Cycle')\n", "ax_ldne.set_ylabel('Effective population size (Est)')\n", "\n", "def plot_pyramid(ax_bp, pyramids):\n", " bp_data = [([], []) for group in range(3)]\n", " for my_pyramid in pyramids:\n", " for (age, sex), cnt in my_pyramid.items():\n", " bp_data[age - 1][sex - 1].append(cnt)\n", " for group in range(3):\n", " bp = sns.boxplot(bp_data[group], positions=[group * 3 + 1, group * 3 + 2], widths=0.6, ax=ax_bp)\n", " ax_bp.text(1 + 3 * group, 90, 'M', va='top', ha='center')\n", " ax_bp.text(2 + 3 * group, 90, 'F', va='top', ha='center')\n", " ax_bp.set_xlim(0, 9)\n", " ax_bp.set_ylim(20, 90)\n", " ax_bp.set_xticklabels(['1', '2', '3'])\n", " ax_bp.set_xticks([1.5, 4.5, 7.5])\n", " ax_bp.legend()\n", "\n", "pre_decline = pyramid[10:50]\n", "post_decline = pyramid[51:]\n", "\n", "\n", "ax_bp = fig.add_subplot(2, 2, 3)\n", "plot_pyramid(ax_bp, pre_decline)\n", "\n", "\n", "ax_bp = fig.add_subplot(2, 2, 4)\n", "plot_pyramid(ax_bp, post_decline)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "defaultdict(, {(1, 2): 52, (3, 1): 33, (1, 1): 72, (2, 1): 57, (2, 2): 55})\n" ] } ], "source": [ "print post_decline[10]" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false }, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.10" } }, "nbformat": 4, "nbformat_minor": 0 }