Abstract

BackgroundThe traditional way to estimate variance components (VC) is based on the animal model using a pedigree-based relationship matrix (A) (A-AM). After genomic selection was introduced into breeding programs, it was anticipated that VC estimates from A-AM would be biased because the effect of selection based on genomic information is not captured. The single-step method (H-AM), which uses an H matrix as (co)variance matrix, can be used as an alternative to estimate VC. Here, we compared VC estimates from A-AM and H-AM and investigated the effect of genomic selection, genotyping strategy and genotyping proportion on the estimation of VC from the two methods, by analyzing a dataset from a commercial broiler line and a simulated dataset that mimicked the broiler population.ResultsVC estimates from H-AM were severely overestimated with a high proportion of selective genotyping, and overestimation increased as proportion of genotyping increased in the analysis of both commercial and simulated data. This bias in H-AM estimates arises when selective genotyping is used to construct the H-matrix, regardless of whether selective genotyping is applied or not in the selection process. For simulated populations under genomic selection, estimates of genetic variance from A-AM were also significantly overestimated when the effect of genomic selection was strong. Our results suggest that VC estimates from H-AM under random genotyping have the expected values. Predicted breeding values from H-AM were inflated when VC estimates were biased, and inflation differed between genotyped and ungenotyped animals, which can lead to suboptimal selection decisions.ConclusionsWe conclude that VC estimates from H-AM are biased with selective genotyping, but are close to expected values with random genotyping.VC estimates from A-AM in populations under genomic selection are also biased but to a much lesser degree. Therefore, we recommend the use of H-AM with random genotyping to estimate VC for populations under genomic selection. Our results indicate that it is still possible to use selective genotyping in selection, but then VC estimation should avoid the use of genotypes from one side only of the distribution of phenotypes. Hence, a dual genotyping strategy may be needed to address both selection and VC estimation.

Highlights

  • The traditional way to estimate variance components (VC) is based on the animal model using a ped‐ igree-based relationship matrix (A) (A-AM)

  • If a population is under selection based on phenotype and pedigree information, if all the data that drive selection decisions are included in the model, and if the genetic architecture of the trait is close enough to the assumption of an infinite number of loci contributing to the trait, VC estimated by restricted maximum likelihood (REML) from A-AM are unbiased [2]

  • H-AM animal model with combined pedigree-based and genomic relationship matrix, VC-H VC estimates from H-AM, VC-A VC estimates from A-AM, VC-bp VC of the base population a Bias of predicted breeding values is presented as the regression coefficient of the true breeding values on the predicted breeding values; deviation from 1 implies bias, regression coefficients lower than 1 imply inflation in the predictions genetic variance by H-AM and A-AM were similar and did not differ significantly for males, whereas for females the H-AM estimate of genetic variance was more than 5 times larger than the A-AM estimate, which represents a highly significant difference (Table 3)

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Summary

Introduction

The traditional way to estimate variance components (VC) is based on the animal model using a ped‐ igree-based relationship matrix (A) (A-AM). The single-step method (H-AM), which uses an H matrix as (co)variance matrix, can be used as an alternative to estimate VC. To predict BV from A-AM, variance components (VC) including genetic variance and residual variance are needed to solve the mixed model equations (MME). If a population is under selection based on phenotype and pedigree information, if all the data that drive selection decisions are included in the model, and if the genetic architecture of the trait is close enough to the assumption of an infinite number of loci contributing to the trait, VC estimated by restricted maximum likelihood (REML) from A-AM are unbiased [2]

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