{ "metadata": { "name": "", "signature": "sha256:af0acefcd766ddfe1519c688a660c5e96209231c7891082075c123e1c770a630" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "[``anhima.dist``](http://anhima.readthedocs.org/en/latest/dist.html) - Genetic distance calculations" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import numpy as np\n", "np.random.seed(1)\n", "import scipy.stats\n", "import random\n", "random.seed(1)\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline\n", "import sys\n", "# import anhima\n", "# dev imports\n", "sys.path.insert(0, '..')\n", "%reload_ext autoreload\n", "%autoreload 1\n", "%aimport anhima.sim\n", "%aimport anhima.gt\n", "%aimport anhima.dist" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 1 }, { "cell_type": "code", "collapsed": false, "input": [ "# simulate genotypes with no relatedness\n", "n_variants = 1000\n", "n_samples = 100\n", "ploidy = 2\n", "af_dist = scipy.stats.beta(a=.4, b=.6)\n", "p_missing = 0\n", "genotypes = anhima.sim.simulate_biallelic_genotypes(n_variants, n_samples, af_dist, p_missing, ploidy)\n", "gn = anhima.gt.as_n_alt(genotypes)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "code", "collapsed": false, "input": [ "# simulate three sub-populations with relatedness\n", "genotypes_subpop1 = anhima.sim.simulate_relatedness(genotypes[:, :n_samples//2], relatedness=.5, n_iter=1000)\n", "genotypes_subpop2 = anhima.sim.simulate_relatedness(genotypes[:, n_samples//2:], relatedness=.5, n_iter=1000)\n", "genotypes_subpop2a = anhima.sim.simulate_relatedness(genotypes_subpop2[:, n_samples//4:], relatedness=.5, n_iter=500)\n", "genotypes_subpop2b = anhima.sim.simulate_relatedness(genotypes_subpop2[:, :n_samples//4], relatedness=.5, n_iter=500)\n", "genotypes_related = np.concatenate([genotypes_subpop1, genotypes_subpop2a, genotypes_subpop2b], axis=1)\n", "gnr = anhima.gt.as_n_alt(genotypes_related)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Euclidean distance" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# calculate pairwise distance (Euclidean is default metric)\n", "d, ds = anhima.dist.pairwise_distance(gn)\n", "dr, dsr = anhima.dist.pairwise_distance(gnr)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 4 }, { "cell_type": "code", "collapsed": false, "input": [ "plt.hist(d, bins=30);" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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TqtIjQ1dK+ufMYrvdXOP8dJMLu5DdMZ9pihmTeF/UmkZnvJ31Rb/cV+mszy/F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lk9Hfaw4aRb8Y1yXE3L8z279iQ3ddeQwgCAStt/CPcKlSSo5IRwspKYad61nefCbpU/yldXox7y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\nN8POATa5cWgAnVJl4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"text": [ "" ] } ], "prompt_number": 7 }, { "cell_type": "code", "collapsed": false, "input": [ "anhima.dist.plot_pairwise_distance(dsr);" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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eERERsbdiu9///qprHhEREVF0lKhEu1MhuK6u+TxJgltftdbu5/qNiLTp/3G8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"text": [ "" ] } ], "prompt_number": 8 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Other distance metrics" ] }, { "cell_type": "code", "collapsed": false, "input": [ "d, s = anhima.dist.pairwise_distance(gnr, metric='euclidean')\n", "plt.hist(d, bins=30)\n", "plt.xlim(min(d), max(d));" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 9 }, { "cell_type": "code", "collapsed": false, "input": [ "d, s = anhima.dist.pairwise_distance(gnr, metric='sqeuclidean')\n", "plt.hist(d, bins=30)\n", "plt.xlim(min(d), max(d));" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 10 }, { "cell_type": "code", "collapsed": false, "input": [ "d, s = anhima.dist.pairwise_distance(gnr, metric='cityblock')\n", "plt.hist(d, bins=30)\n", "plt.xlim(min(d), max(d));" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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