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Using a system of recurrence equations, best linear unbiased prediction applied to a reduced animal model (RAM) is presented for marker-assisted selection. This approach is a RAM version of the method with the animal model to reduce the number of equations per animal to one. The current RAM approach allows simultaneous evaluation of fixed effects and total additive genetic merit which is expressed as the sum of the additive genetic effects due to quantitative trait loci (QTL) unlinked to thedoi:10.1051/gse:19970102 fatcat:zgegkj56bzh5ji277iwpkp2jpi