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Extension of a Reduced Animal Model to Recursive Prediction of Breeding Values¹

University of Guelph, Guelph, Ontario NIG 2W1, Canada

Abstract

Predicted breeding values (PBV) are usually required only for potential parents, i.e., live animals. However, data from all animals (dead or alive) should be used in calculating the PBV of live animals to avoid certain types of selection bias and to improve accuracy of evaluation. Over time, a substantial data base may be collected, necessitating extensive computing effort. A method of combining a reduced animal model with recursive prediction is described that reduces the number of equations to be solved simultaneously. A numerical example is given and applications to within herd evaluation systems are discussed.

¹ Partial financial support for this project was provided by Ontario Ministry of Agriculture and Food and by the Canadian Assoc. of Animal Breeders. The author thanks Gail M. Belonsky, two anonymous reviewers and the Section Editor for comments that improved the clarity of this paper.

² Dept. of Anim. and Poul. Sci.