{ "cells": [ { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false }, "outputs": [], "source": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Genotype quality control" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This tutorial explores typical genotype quality control metrics, including allele frequency distribution, linkage disequilibrium and methods to test for population structure." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Allele frequency distribution" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Allele frequency has profound implications for the gentic effects that can be identifeid. Here, we explore allele frequency distributions in multiple datasets, which differ in terms of their underlying genetic designs.\n", "\n", "The example below shows how some basic statistics can be obtained for genotype data in a yeast cross (Bloom et al., Nature 2013)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The task:\n", "\n", "Explore allele frequency distributions in other datasets, including data from 1000 genomes and A. thaliana. \n", "What are the implications for genotype to phenotype maping ?\n", "\n", "* What are the advantages and disadvantages of partiular genetic designs ? \n", "* Both to detect associations with common and rare variants ? \n", "* Why do some datasets have allele frequencies [0..0.5] and others [0..1] ?" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false, "slideshow": { "slide_type": "notes" } }, "outputs": [], "source": [ "# activiate inline plotting\n", "%matplotlib inline\n", "from setup import *" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [], "source": [ "#import data: BYxRM cross\n", "#import data\n", "#the data used in this study have been pre-converted into an hdf5 file. \n", "#to preprocess your own data, please use limix command line tool\n", "file_name = tutorial_data.get_file('BYxRM')\n", "geno_reader_BYxRM = gr.genotype_reader_tables(file_name)\n", "# M is a binary matrix [samples,genotypes]\n", "MBYxRM = geno_reader_BYxRM.getGenotypes()\n", "posBYxRM = geno_reader_BYxRM.getPos()['pos']\n", "\n", "#import data: 1000 genomes\n", "#the data used in this study have been pre-converted into an hdf5 file. \n", "#to preprocess your own data, please use limix command line brinary\n", "genotype_file = tutorial_data.get_file('1000g')\n", "annotation_file = tutorial_data.get_file('1000g_annotation')\n", "geno_reader_1000G = gr.genotype_reader_tables(genotype_file)\n", "#read annotation\n", "fa = h5py.File(annotation_file,'r')\n", "population_1000G = fa['Population'][:]\n", "#select YRI and CEU populations\n", "Ipop = (population_1000G=='CEU')\n", "\n", "\n", "population_1000G = population_1000G[Ipop]\n", "M1000G = geno_reader_1000G.getGenotypes()[Ipop]\n", "pos1000G = geno_reader_1000G.getPos()['pos']\n", "#note: the 1000g samples have different populational background.\n", "#a subset of the samples are Yerubuan (YRI) and the remaining are Central European (EU)\n", "#you can query this information using the array \"popuatlion_1000G\"\n", "\n", "#import data: Arabidopsis\n", "#import data\n", "#the data used in this study have been pre-converted into an hdf5 file. \n", "#to preprocess your own data, please use limix command line brinary\n", "file_name = tutorial_data.get_file('arab107')\n", "geno_reader_atwell = gr.genotype_reader_tables(file_name)\n", "Matwell = geno_reader_atwell.getGenotypes()\n", "posatwell = geno_reader_atwell.getPos()['pos']\n" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [], "source": [ "K = sp.dot(M1000G,M1000G.T)\n", "K2 = sp.dot(M1000G[:,0:2],M1000G[:,0:2].T)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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ImEanEsi2TjEqFdMs5uHTZKBQqFkebedspJhYhRp1pQ5ZTIZppRe7YZzDPVuQ3Hq+tvgI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\nI24sQJaiY12bxrBYhZw4Abue9Q4rsXElmSWLtFR3IKz4WO2XcW6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82Pf0FE+7XK00npwZ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JT2i73IPFlcditHnlzBBaWFudN2Xt6/mi32qzxZ/QI/Pb8aqXqO1S3dvLPzHi5KOnCeq0A7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\nAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pl.subplot(121)\n", "pl.imshow(K,aspect='auto')\n", "pl.subplot(122)\n", "pl.imshow(K2,aspect='auto')\n" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [], "source": [ "#strains in the yeast cross are homozygous, which is encoded [0,1] - [ref/ref,alt/alt]\n", "#for heterozygous systems, we need to set minor=2 as the encoding is [0,1,2] - [ref/ref,ref/alt,alt/alt]\n", "afBYxRM = calc_AF(MBYxRM,minor=1)\n" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [], "source": [ "##cut\n", "af1000G = calc_AF(M1000G,minor=2)\n", "afatwell = calc_AF(Matwell,minor=1)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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LPAZ4RpLtwHXA46azBZL6Ypwmmi8DfqGqLph2MJK0RuYnSV2xrnxUVY9fZfqr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\n3INQAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pl.figure(figsize=[15,5])\n", "\n", "plt.subplot(1,3,1)\n", "plot=pl.hist(afBYxRM['af'],50,normed=True)\n", "pl.ylabel('density')\n", "pl.title('Yeast cross')\n", "pl.xlabel('allele frequency')\n", "\n", "##cut\n", "plt.subplot(1,3,2)\n", "plot=pl.hist(af1000G['af'],50,normed=True)\n", "pl.ylabel('density')\n", "pl.title('1000 genomes')\n", "pl.xlabel('allele frequency')\n", "\n", "plt.subplot(1,3,3)\n", "plot=pl.hist(afatwell['af'],50,normed=True)\n", "pl.ylabel('density')\n", "pl.title('A. thaliana')\n", "pl.xlabel('allele frequency')\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Filtering by allele frequency" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Allele frequency is an important filter for QTL mapping. We here exlore the implications of alleele frequency filters on the number of variants available for analysis. " ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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KcWXtr0xbee8rG1tlpfJZy2rPhmet6Fg9a34/a+m2dD4rhMu37r7BzH4DzI2Pu9GjSepS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\nx8V577qF9qAO//NzvKTYYU9HGgJFwQaQ7qjFAOAXdRgZhaYGMs1JknY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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pl.figure(figsize=[18,5])\n", "maf = 10.**(-sp.arange(6))\n", "\n", "plt.subplot(1,3,1)\n", "\n", "N = [(afBYxRM['af']>=m).sum() for m in maf]\n", "pl.plot(maf,N,'k-')\n", "pl.xscale('log')\n", "pl.xlabel('maf cutoff')\n", "pl.ylabel('number of variants')\n", "pl.title('Yeast cross')\n", "\n", "\n", "##cut\n", "plt.subplot(1,3,2)\n", "\n", "N = [(af1000G['af']>=m).sum() for m in maf]\n", "pl.plot(maf,N,'k-')\n", "pl.xscale('log')\n", "pl.xlabel('maf cutoff')\n", "pl.ylabel('number of variants')\n", "pl.title('1000 genomes')\n", "\n", "plt.subplot(1,3,3)\n", "\n", "N = [(afatwell['af']>=m).sum() for m in maf]\n", "pl.plot(maf,N,'k-')\n", "pl.xscale('log')\n", "pl.xlabel('maf cutoff')\n", "pl.ylabel('number of variants')\n", "pl.title('A. thaliana')\n", "\n", "\n" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false }, "outputs": [], "source": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Linkage disequilibrium" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The resolution of genotype to phenotype mapping is affect by linkage disequilibrium. We here explore the correlation between nearby genetic markers as a function of distance.\n", "\n", "Tasks:\n", "\n", "* How does the minor allele frequency affect LD?\n", "* How to global and local correlations compare and are related to differences in the genetic designs ? \n", "* Is there long-range LD and if yes, what might be causes for this effect ? " ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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iiSLQx+SmfgLQp+SubqIrPIBS3SaK7v5yE+JoiHnz0o4AQDPlqX4C0HdQNwFo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\ntVSiCAAob801mZga0gsvhHc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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Local LD plots\n", "\n", "pl.figure(figsize=[15,5])\n", "\n", "plt.subplot(1,3,1)\n", "LDByxRM = calc_LD(MBYxRM,posBYxRM.values)\n", "pl.plot(LDByxRM[0],LDByxRM[1])\n", "pl.ylabel('r^2')\n", "pl.xlabel('dist (bp)')\n", "pl.title('Yeast cross')\n", "\n", "#the calc_LD function has an optional parameter i_start, determining from how many positions the sampling started.\n", "#you can use this to improve the resolution. try i_start=sp.arange(10) or i_start=sp.arange(100)\n", "\n", "## CUT\n", "maf = 0.01\n", "plt.subplot(1,3,2)\n", "Iaf = af1000G['af']>=maf\n", "LDp = calc_LD(M1000G[:,Iaf],pos1000G.values[Iaf],i_start=sp.arange(100))\n", "pl.plot(LDp[0],LDp[1])\n", "pl.ylabel('r^2')\n", "pl.xlabel('dist (bp)')\n", "pl.title('1000 genomes')\n", "\n", "\n", "plt.subplot(1,3,3)\n", "Iaf = afatwell['af']>=maf\n", "LDp = calc_LD(Matwell[:,Iaf],posatwell.values[Iaf],i_start=sp.arange(10))\n", "pl.plot(LDp[0],LDp[1])\n", "pl.ylabel('r^2')\n", "pl.xlabel('dist (bp)')\n", "pl.title('A. thaliana')\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Population structure" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Principal component analysis can be used to reveal particular relationship between samples. We here apply PCA to multiple different datasets to explore the extent of population structure.\n", "\n", "Tasks:\n", "* Apply PCA to the yeast cross, the Arabidopsis data and 1000 genomes data.\n", "* Do you see clusters witin the data? \n", "* If yes, what do these clusters corresond to ? " ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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rLqR9O8fCl2GYFNIISjCASwC8BOBuAHe52w4A7wPwPuW4PwPwQwBLAC4ytJPA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\nEEIIIYQQQgjJnf8fhTl0Ft8JZ4EAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# PCA\n", "\n", "import limix.deprecated.stats.pca as pca\n", "\n", "pl.figure(figsize=[18,5])\n", "\n", "plt.subplot(1,3,1)\n", "[snpsX,snpsW] = pca.PCA(MBYxRM[:,0:5000],components=10)\n", "pl.plot(snpsX[:,0],snpsX[:,1],'k.')\n", "pl.xlabel('PC1')\n", "pl.ylabel('PC2')\n", "pl.title('Yeast cross')\n", "\n", "## cut\n", "plt.subplot(1,3,2)\n", "[snpsX,snpsW] = pca.PCA(M1000G[:,0:5000],components=10)\n", "pl.plot(snpsX[:,0],snpsX[:,1],'k.')\n", "ICEU = (population_1000G=='CEU')\n", "IYRI = (population_1000G=='YRI')\n", "\n", "pl.plot(snpsX[:,0][ICEU],snpsX[:,1][ICEU],'k.',label='CEU')\n", "pl.plot(snpsX[:,0][IYRI],snpsX[:,1][IYRI],'r.',label='YRI')\n", "pl.xlabel('PC1')\n", "pl.ylabel('PC2')\n", "pl.legend()\n", "pl.title('1000 genomes')\n", "\n", "\n", "plt.subplot(1,3,3)\n", "[snpsX,snpsW] = pca.PCA(Matwell[:,0:5000],components=10)\n", "pl.plot(snpsX[:,0],snpsX[:,1],'k.')\n", "pl.xlabel('PC1')\n", "pl.ylabel('PC2')\n", "pl.title('A. thaliana')\n", "\n", "\n", "\n" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": 10, "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 }