The Impact of Variable Degrees of Freedom and Scale Parameters in Bayesian Methods for Genomic Prediction in Chinese Simmental Beef Cattle

Three conventional Bayesian approaches (BayesA, BayesB and BayesCπ) have been demonstrated to be powerful in predicting genomic merit for complex traits in livestock. A priori, these Bayesian models assume that the non-zero SNP effects (marginally) follow a t-distribution depending on two fixed hyperparameters, degrees of freedom and scale parameters. In this study, we performed genomic prediction in Chinese Simmental beef cattle and treated degrees of freedom and scale parameters as unknown with inappropriate priors. Furthermore, we compared the modified methods (BayesFA, BayesFB and BayesFCπ) with their corresponding counterparts using simulation datasets. We found that the modified methods with distribution assumed to the two hyperparameters were beneficial for improving the predictive accuracy. Our results showed that the predictive accuracies of the modified methods were slightly higher than those of their counterparts especially for traits with low heritability and a small number of QTLs. Moreover, cross-validation analysis for three traits, namely carcass weight, live weight and tenderloin weight, in 1136 Simmental beef cattle suggested that predictive accuracy of BayesFCπ noticeably outperformed BayesCπ with the highest increase (3.8%) for live weight using the cohort masking cross-validation.

[1]  Rohan L. Fernando,et al.  Extension of the bayesian alphabet for genomic selection , 2011, BMC Bioinformatics.

[2]  M. Goddard,et al.  Genomic selection. , 2007, Journal of animal breeding and genetics = Zeitschrift fur Tierzuchtung und Zuchtungsbiologie.

[3]  R. Fernando,et al.  Accuracies of genomic breeding values in American Angus beef cattle using K-means clustering for cross-validation , 2011, Genetics Selection Evolution.

[4]  José Crossa,et al.  Predicting Quantitative Traits With Regression Models for Dense Molecular Markers and Pedigree , 2009, Genetics.

[5]  Jean-Luc Jannink,et al.  Multiple-Trait Genomic Selection Methods Increase Genetic Value Prediction Accuracy , 2012, Genetics.

[6]  M. Goddard,et al.  Prediction of total genetic value using genome-wide dense marker maps. , 2001, Genetics.

[7]  Aaron J. Lorenz,et al.  Genomic Selection in Plant Breeding , 2011 .

[8]  R. Tempelman,et al.  Improving the computational efficiency of fully Bayes inference and assessing the effect of misspecification of hyperparameters in whole-genome prediction models , 2015, Genetics Selection Evolution.

[9]  W. Fu,et al.  Bayesian methods for estimating GEBVs of threshold traits , 2012, Heredity.

[10]  D. Gianola Priors in Whole-Genome Regression: The Bayesian Alphabet Returns , 2013, Genetics.

[11]  E. J. Pollak,et al.  Evaluation of Simmental carcass EPD estimated using live and carcass data. , 2004, Journal of animal science.

[12]  M. Goddard,et al.  Invited review: Genomic selection in dairy cattle: progress and challenges. , 2009, Journal of dairy science.

[13]  P. Ajmone-Marsan,et al.  Prediction of genomic breeding values for dairy traits in Italian Brown and Simmental bulls using a principal component approach. , 2012, Journal of dairy science.

[14]  G. Casella,et al.  The Bayesian Lasso , 2008 .

[15]  R. Varshney,et al.  Genomic Selection for Crop Improvement , 2017, Springer International Publishing.

[16]  Daniel Gianola,et al.  Additive Genetic Variability and the Bayesian Alphabet , 2009, Genetics.

[17]  N. Yi,et al.  Bayesian LASSO for Quantitative Trait Loci Mapping , 2008, Genetics.

[18]  B. Hayes,et al.  Use of molecular technologies for the advancement of animal breeding: genomic selection in dairy cattle populations in Australia, Ireland and New Zealand , 2013 .

[19]  P. VanRaden,et al.  Efficient methods to compute genomic predictions. , 2008, Journal of dairy science.

[20]  J. Geweke,et al.  Bayesian Treatment of the Independent Student- t Linear Model , 1993 .

[21]  T. Randolph,et al.  Exponential Dichotomy and Mild Solutions of Nonautonomous Equations in Banach Spaces , 1998 .

[22]  M. Goddard,et al.  Accurate Prediction of Genetic Values for Complex Traits by Whole-Genome Resequencing , 2010, Genetics.

[23]  J. Woolliams,et al.  The Accuracy of Genomic Selection in Norwegian Red Cattle Assessed by Cross-Validation , 2009, Genetics.

[24]  Manuel A. R. Ferreira,et al.  PLINK: a tool set for whole-genome association and population-based linkage analyses. , 2007, American journal of human genetics.

[25]  R. Schnabel,et al.  Accuracy of direct genomic breeding values for nationally evaluated traits in US Limousin and Simmental beef cattle , 2012, Genetics Selection Evolution.

[26]  R. Tempelman,et al.  A Bayesian Antedependence Model for Whole Genome Prediction , 2012, Genetics.

[27]  王重龙,et al.  Bayesian methods for estimating GEBVs of threshold traits , 2012 .

[28]  M. Calus,et al.  Whole-Genome Regression and Prediction Methods Applied to Plant and Animal Breeding , 2013, Genetics.

[29]  Guosheng Su,et al.  Genome position specific priors for genomic prediction , 2012, BMC Genomics.

[30]  D Gianola,et al.  Reproducing kernel Hilbert spaces regression: a general framework for genetic evaluation. , 2009, Journal of animal science.

[31]  Michael E Goddard,et al.  Accuracy of genomic selection using stochastic search variable selection in Australian Holstein Friesian dairy cattle. , 2009, Genetics research.