Tuyển tập các báo cáo nghiên cứu về sinh học được đăng trên tạp chí sinh học Journal of Biology đề tài: A deterministic multi-tier model of assortative mating following selection | Genet Sei Evol 1994 26 495-516 Elsevier INRA 495 Original article A deterministic multi-tier model of assortative mating following selection RK Shepherd1 BP Kinghorn2 1 Department of Mathematics and Computing University of Central Queensland Rockhampton Queensland 4702 2 Department of Animal Science University of New England Armidale New South Wales 2351 Australia Received 13 January 1994 accepted 3 June 1994 Summary - A deterministic model is presented of assortative mating following selection on either phenotype or best linear unbiased prediction BLUP estimates of breeding values ebv in an infinite population. The model is based on modified theory for multitier open nucleus breeding schemes. It is shown that the percentage increase in genetic gain of assortative mating over random mating is greatly increased at low to moderate heritability when BLUP rather than mass selection is used. The percentage increase in genetic gain at equilibrium of assortative mating over random mating is independent of initial heritability and family structure when selection is on BLUP ebv. The same is true in the early generations if there is ample pedigree history available before selection commences. The deterministic prediction of the percentage increase in genetic gain at equilibrium of assortative mating over random mating is 11 24 and 66 when 10 50 and 90 of progeny are selected on BLUP ebv. Stochastic simulation is used to evaluate the accuracy of the deterministic model. Both deterministic and stochastic results for assortative mating indicate a considerably increased value over random mating in certain situations than has previously been reported. assortative mating selection BLUP genetic group open nucleus Resume Un modèle déterministe d homogamie après selection dans un schema à plusieurs étages. Cet article décrit un modèle déterministe pour une population infinie soumise à homogamie après une selection soit sur le phenotype soit sur la valeur génétique estimée vge par le
