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Multiple Trait Prediction for a Type of Model with Heterogeneous Genetic and Residual Covariance Structures¹

Cornell University³, Ithaca NY 14853

Abstract

A restricted set of models is defined that allows for heterogeneous genetic and residual covariance structures. Multiple trait models and models with multiple random factors are included. The restriction on the model is that the correlations among genetic effects in different classes are the same. Equivalently, the genetic covariance matrices are assumed to differ between classes due to scaling. This assumption greatly reduces the number of parameters that must be specified and does not adversely affect the computational burden of a mixed model analysis. An application of the model for genetic evaluation of beef cattle is described and illustrated numerically.

¹ This research was funded by the Am. Simmental Assoc., Bozeman, MT.

² Present Address: Dept. of Anim. Sci., Massey Univ., Palmerston North, New Zealand.

³ Dept of Anim. Sci., Morrison Hall.

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