EM algorithm for Bayesian estimation of genomic breeding values

<p>Abstract</p> <p>Background</p> <p>In genomic selection, a model for prediction of genome-wide breeding value (GBV) is constructed by estimating a large number of SNP effects that are included in a model. Two Bayesian methods based on MCMC algorithm, Bayesian shrinkag...

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Main Authors: Iwata Hiroyoshi, Hayashi Takeshi
Format: Article
Language:English
Published: BMC 2010-01-01
Series:BMC Genetics
Online Access:http://www.biomedcentral.com/1471-2156/11/3
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author Iwata Hiroyoshi
Hayashi Takeshi
author_facet Iwata Hiroyoshi
Hayashi Takeshi
author_sort Iwata Hiroyoshi
collection DOAJ
description <p>Abstract</p> <p>Background</p> <p>In genomic selection, a model for prediction of genome-wide breeding value (GBV) is constructed by estimating a large number of SNP effects that are included in a model. Two Bayesian methods based on MCMC algorithm, Bayesian shrinkage regression (BSR) method and stochastic search variable selection (SSVS) method, (which are called BayesA and BayesB, respectively, in some literatures), have been so far proposed for the estimation of SNP effects. However, much computational burden is imposed on the MCMC-based Bayesian methods. A method with both high computing efficiency and prediction accuracy is desired to be developed for practical use of genomic selection.</p> <p>Results</p> <p>EM algorithm applicable for BSR is described. Subsequently, we propose a new EM-based Bayesian method, called wBSR (weighted BSR), which is a modification of BSR incorporating a weight for each SNP according to the strength of its association to a trait. Simulation experiments show that the computational time is much reduced with wBSR based on EM algorithm and the accuracy in predicting GBV is improved by wBSR in comparison with BSR based on MCMC algorithm. However, the accuracy of predicted GBV with wBSR is inferior to that with SSVS based on MCMC algorithm which is currently considered to be a method of choice for genomic selection.</p> <p>Conclusions</p> <p>EM-based wBSR method proposed in this study is much advantageous over MCMC-based Bayesian methods in computational time and can predict GBV more accurately than MCMC-based BSR. Therefore, wBSR is considered a practical method for genomic selection with a large number of SNP markers.</p>
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spelling doaj.art-a4ae9a4872994cbf830561e1190300532022-12-22T00:41:17ZengBMCBMC Genetics1471-21562010-01-01111310.1186/1471-2156-11-3EM algorithm for Bayesian estimation of genomic breeding valuesIwata HiroyoshiHayashi Takeshi<p>Abstract</p> <p>Background</p> <p>In genomic selection, a model for prediction of genome-wide breeding value (GBV) is constructed by estimating a large number of SNP effects that are included in a model. Two Bayesian methods based on MCMC algorithm, Bayesian shrinkage regression (BSR) method and stochastic search variable selection (SSVS) method, (which are called BayesA and BayesB, respectively, in some literatures), have been so far proposed for the estimation of SNP effects. However, much computational burden is imposed on the MCMC-based Bayesian methods. A method with both high computing efficiency and prediction accuracy is desired to be developed for practical use of genomic selection.</p> <p>Results</p> <p>EM algorithm applicable for BSR is described. Subsequently, we propose a new EM-based Bayesian method, called wBSR (weighted BSR), which is a modification of BSR incorporating a weight for each SNP according to the strength of its association to a trait. Simulation experiments show that the computational time is much reduced with wBSR based on EM algorithm and the accuracy in predicting GBV is improved by wBSR in comparison with BSR based on MCMC algorithm. However, the accuracy of predicted GBV with wBSR is inferior to that with SSVS based on MCMC algorithm which is currently considered to be a method of choice for genomic selection.</p> <p>Conclusions</p> <p>EM-based wBSR method proposed in this study is much advantageous over MCMC-based Bayesian methods in computational time and can predict GBV more accurately than MCMC-based BSR. Therefore, wBSR is considered a practical method for genomic selection with a large number of SNP markers.</p>http://www.biomedcentral.com/1471-2156/11/3
spellingShingle Iwata Hiroyoshi
Hayashi Takeshi
EM algorithm for Bayesian estimation of genomic breeding values
BMC Genetics
title EM algorithm for Bayesian estimation of genomic breeding values
title_full EM algorithm for Bayesian estimation of genomic breeding values
title_fullStr EM algorithm for Bayesian estimation of genomic breeding values
title_full_unstemmed EM algorithm for Bayesian estimation of genomic breeding values
title_short EM algorithm for Bayesian estimation of genomic breeding values
title_sort em algorithm for bayesian estimation of genomic breeding values
url http://www.biomedcentral.com/1471-2156/11/3
work_keys_str_mv AT iwatahiroyoshi emalgorithmforbayesianestimationofgenomicbreedingvalues
AT hayashitakeshi emalgorithmforbayesianestimationofgenomicbreedingvalues