Tuyển tập các báo cáo nghiên cứu về sinh học được đăng trên tạp chí sinh học Journal of Biology đề tài: Masahiro Satoh method of computing restricted best linear unbiased prediction of breeding values | I MSW . . Département te Gốnétique Animate on Genet. Sei. Evol. 30 1998 89-101 BIBLIOTHÊQUE 89 c Inra Elsevier Paris r- _ F- 78352 JOUY EN JOSAS CEDEX Original article A simple method of computing restricted best linear unbiased prediction of breeding values Masahiro Satoh Department of Animal Breeding and Genetics National Institute of Animal Industry . Box 5 Tsukuba Norin-kenkyudanchi Tsukuba-shi 305 Japan Received 6 May 1997 accepted 12 February 1998 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 restricted BLUP of breeding values is presented. The technique is valuable particularly when a large number of restrictions are imposed in a multiple trait mixed model such as constraints of achieving predetermined relative rates of genetic improvement for all traits. Inra Elsevier Paris mixed model method restricted BLUP Resume Methode simple de calcul d un BLUP restreint. Le BLUP restreint est calculé directement en posant les contraintes en SUS des equations correspondantes à un modèle linéaire mixte multivariate. En consequence la procedure du BLUP restreint demande la resolution d un plus grand nombre d equations que dans le cas habituel. Dans cet article on présente un reparamétrage qui permet d aboutir à un système plus simple et de taille réduite. Cette technique est particulièrement intéressante quand un grand nombre de restrictions est impose dans un modèle mixte multivariate comme quand on cherche à obtenir des rapport predetermines de progrès génétiques pour tous les caractères. Inra Elsevier Paris modèle mixte multivariate BLUP restreint 1. INTRODUCTION Kempthorne and Nordskog 9 gave the basic derivation of restricted selection indices. The model assumed was that the observation vector y
