A Method of Computing Best Linear Unbiased Prediction of Aggregate Breeding Values with the Change in Some Traits Restricted to Zero

Abstract

Restricted best linear unbiased prediction (restricted BLUP) is derived by imposing restrictions directly within a multiple trait mixed model. As a result, the restricted BLUP procedure requires the solution of high-order simultaneous equations. In the present paper, a simple method for computing BLUP of breeding values with the change in some traits restricted to zero is presented. The technique is valuable, particularly when a large number of restrictions are imposed. In this case, the values of economic weights for restricted BLUP of breeding values of traits do not affect the total genetic merit.