{ "metadata": { "name": "", "signature": "sha256:5233b6210ea79c24f2fe572a2aec3fe1c2890de03980a8e2af28277597b3ff0f" }, "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, '../src')\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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+CwDIakRf2XxV6Rf8e06plMv9Ok1m6hViY823vpfVbOEHSI4cvZ8VTSGOrCoT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XpINMV3hrHtc/EUtlY3bSct141BcqTDApYXxtYXUmKhbn1W2sels4VocQ5rdonLRonyWvPWcQhq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\nWFhYXCD4+7+QSwGYA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MXBRWC0oHu+8md+LM74iJcCeZEW4SMwIrCDOoLfzb56Za4tBJadJJRF/LWJKt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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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