Technical note: Genetic principal component models for multitrait single-step genomic evaluation 1

A reparameterization of the multivariate linear mixed model in genetic evaluation to principal components is described. This yields an equivalent model with a sparser coefficient matrix in the mixed model equations and, thus, reduced computational requirements to solve them. It is especially advanta...

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Bibliographic Details
Published in:Journal of animal science 2015-10, Vol.93 (10), p.4624
Main Authors: Meyer, K, Swan, A, Tier, B
Format: Article
Language:English
Subjects:
Genomics
Mathematical models
Sheep
Online Access:Get full text
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Summary:A reparameterization of the multivariate linear mixed model in genetic evaluation to principal components is described. This yields an equivalent model with a sparser coefficient matrix in the mixed model equations and, thus, reduced computational requirements to solve them. It is especially advantageous for analyses incorporating genomic relationship information with many nonzero elements in the inverse of the relationship matrix. Moreover, the framework lends itself directly to dimension reduction and, thus, further computational savings by omitting genetic principal components with negligible eigenvalues. The potential impact on computational demands is illustrated for an application to single-step genomic evaluation of Australian sheep.
ISSN:0021-8812
1525-3163