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Calculation of Genetic and Residual Correlations

KS Kashly R Schweer
SK Stephen D Kachman
LK Larry A Kuehn
HF Harvey C Freetly
JP John E Pollak
MS Matthew L Spangler
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Bivariate haplotype analyses estimate the genetic and residual (co)variances for both traits in the model at each iteration. Given the additive genetic merit of the jth animal from j = 1,…, 748 is:

where Hi is the effect of the ith haplotype from i = 1,…, 25,200 and Gij is the unobserved haplotype genotype of the ith haplotype for the jth animal, the additive genetic covariance between ADG and ADFI is derived as:

where AADGj is the additive genetic merit of each animal from j = 1,…, 748 for ADG, AADG is the mean additive genetic merit for ADG, AADFIj is the additive genetic merit of each animal from j = 1,…, 748 for ADFI, and AADFIj is the mean additive genetic merit for ADFI.

The genetic correlation was calculated as:

where σAADG, ADFI is the additive genetic covariance between ADG and ADFI, σAADG is the additive genetic SD of ADG, and σAADFI  is the additive genetic SD of ADFI.

The residual correlation was calculated as:

where σEADG, ADFI is the residual covariance between ADG and ADFI, σEADG is the residual SD of ADG, and σADFI is the residual SD of ADFI.

Copyright and License information:  ©2018 Published by Oxford University Press on behalf of the American Society of Animal Science 2018.
This work is written by (a) US Government employees(s) and is in the public domain in the US.

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