Elsen J-M
INRA, GenPhySE (Génétique, Physiologie et Systèmes d'Elevage), Castanet-Tolosan, France.
J Anim Breed Genet. 2016 Dec;133(6):493-502. doi: 10.1111/jbg.12222. Epub 2016 Jun 10.
The algebraic expression of the genetic selection differential (expected genetic superiority of breeders after a selection on their Predicted Breeding Values) was derived when a limited number of individuals were selected from a limited sample of candidates on the basis of their predicted genetic value, with heterogeneous reliabilities. A formula is proposed for situations in which these reliabilities can be clustered in a few classes. We show that the expected genetic selection differential increases with the number of classes, the mean reliability being constant. In the panel of cases simulated, this increase reached up to 18% of the values obtained in the homogeneous situation. We used the proposed formulae to estimate selection differentials and compared it numerically with performing simulations. In terms of speed of computation, our algebraic formulae performed better than simulations in populations of limited size.
当基于预测遗传值从有限的候选个体样本中选择有限数量的个体，且可靠性存在异质性时，推导出了遗传选择差（基于预测育种值进行选择后育种者的预期遗传优势）的代数表达式。针对可靠性可归为少数几类的情况，提出了一个公式。我们表明，在平均可靠性恒定的情况下，预期遗传选择差随类别数量的增加而增加。在模拟的案例组中，这种增加幅度高达同质情况下所得值的18%。我们使用所提出的公式来估计选择差，并将其与进行模拟的结果进行数值比较。在计算速度方面，我们的代数公式在规模有限的群体中比模拟表现更好。
