BACKSOLVING IN COMBINED-MERIT MODELS FOR MARKER-ASSISTED BEST LINEAR UNBIASED PREDICTION OF TOTAL ADDITIVE GENETIC MERIT

The procedures for backsolving are described for combined-merit models for marker-assisted best linear unbiased prediction, or for the anima l and the reduced animal models which contain fixed effects and random effects of total additive genetic merits and residuals. Using the bes t linear unbiased predictors (BLUP) of the total additive genetic meri ts and the residuals, with the present procedures, the BLUP of additiv e genetic effects due to quantitative trait loci (QTLs) unlinked to th e marker locus and additive effects due to the marked QTL are also obt ained. These backsolutions are identical to the solutions in the Ferna ndo and Grossman animal model.