{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [], "source": [ "import os\n", "\n", "from genomics.popgen.plink.convert import to_eigen\n", "from genomics.popgen.pca import plot, smart\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Meta-data load" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [], "source": [ "f = open('relationships_w_pops_121708.txt')\n", "ind_pop = {}\n", "f.readline() # header\n", "for l in f:\n", " toks = l.rstrip().split('\\t')\n", " fam_id = toks[0]\n", " ind_id = toks[1]\n", " pop = toks[-1]\n", " ind_pop['/'.join([fam_id, ind_id])] = pop\n", "f.close()\n", "ind_pop['2469/NA20281'] = ind_pop['2805/NA20281']" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Requires plink from data preparation" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [], "source": [ "to_eigen('hapmap10_auto_noofs_ld_12', 'hapmap10_auto_noofs_ld_12')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Running smartpca" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [], "source": [ "ctrl = smart.SmartPCAController('hapmap10_auto_noofs_ld_12')\n", "ctrl.run()" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [], "source": [ "wei, wei_perc, ind_comp = smart.parse_evec('hapmap10_auto_noofs_ld_12.evec', 'hapmap10_auto_noofs_ld_12.eval')" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(,\n", " )" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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v40vACRXUOYhs78PdXStJklSVSq32CdBh4Zf7GM80juQPcRQbD0w0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\nrwXGFGgzFlidt/0cMLlAu08DPyxt96TdK1RA5oN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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot.render_pca(ind_comp, 1, 2, cluster=ind_pop)\n", "#put weights" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(,\n", " [,\n", " ,\n", " ,\n", " ,\n", " ])" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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/lQc6TobO8FNiH4HdwIaJfs+jBV8qPV/nbJDyn90KZmCgptwt3d3Xzevv/9bp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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot.render_pca_eight(ind_comp, cluster=ind_pop)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [], "source": [ "markers = { 'CHB': '*', 'CHD': '*', 'JPT': '*', 'GIH': '*',\n", " 'CEU': 'v', 'TSI': 'v', 'MEX': 'v',\n", " 'ASW': 'o', 'LWK': 'o', 'YRI': 'o', 'MKK': 'o'\n", " }\n" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [], "source": [ "#See also, the hapmap paper for the PCA\n", "#Paper on smartpca" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## With scikit-learn" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from sklearn.decomposition import PCA\n", "import numpy as np" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "55217\n" ] } ], "source": [ "f = open('hapmap10_auto_noofs_ld_12.ped')\n", "ninds = 0\n", "ind_order = []\n", "for line in f:\n", " ninds += 1\n", " toks = line[:100].replace(' ', '\\t').split('\\t') # for speed\n", " fam_id = toks[0]\n", " ind_id = toks[1]\n", " ind_order.append('%s/%s' % (fam_id, ind_id))\n", "nsnps = (len(line.replace(' ', '\\t').split('\\t')) - 6) // 2\n", "print (nsnps)\n", "f.close()" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(988, 55217)\n" ] } ], "source": [ "pca_array = np.empty((ninds, nsnps), dtype=int)\n", "print pca_array.shape\n", "f = open('hapmap10_auto_noofs_ld_12.ped')\n", "for ind, line in enumerate(f):\n", " snps = line.replace(' ', '\\t').split('\\t')[6:]\n", " for pos in range(len(snps) // 2):\n", " a1 = int(snps[2 * pos])\n", " a2 = int(snps[2 * pos])\n", " my_code = a1 + a2 - 2\n", " pca_array[ind, pos] = my_code\n", "f.close()\n", "#slow" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [], "source": [ "my_pca = PCA(n_components=8)\n", "my_pca.fit(pca_array)\n", "trans = my_pca.transform(pca_array)\n", "#Memory required" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(,\n", " [,\n", " ,\n", " ,\n", " ,\n", " ])" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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qcEYRsIwH+Qta+RVpghdeQonKcJ+4iPSkDAwREREZdr19hvBTSdbhGuiVhm56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\nO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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sc_ind_comp = {}\n", "for i, ind_pca in enumerate(trans):\n", " sc_ind_comp[ind_order[i]] = ind_pca\n", "plot.render_pca_eight(sc_ind_comp, cluster=ind_pop)" ] }, { "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": "2.7.9" } }, "nbformat": 4, "nbformat_minor": 0 }