Satoh Masahiro
Graduate School of Agricultural Science, Tohoku University, Sendai, Japan.
Anim Sci J. 2019 Apr;90(4):462-466. doi: 10.1111/asj.13174. Epub 2019 Feb 5.
The aims of the present study are to represent the concept of restricted breeding values algebraically and to propose a criterion for evaluating the genetic responses achieved by using a restricted selection procedure. An additive genetic mixed model characterized by multiple traits with constraints was assumed. If the random errors approach zero and the fixed effects can be completely estimated correctly in the model, the restricted best linear unbiased predictor of breeding values (u ) is equal to , where G , C , and u are the additive genetic variance-covariance matrix for the q traits, the matrix for restriction, and the vector of breeding values, respectively. Therefore, if we want to evaluate the response to restricted selection, such as by a stochastic computer simulation study with known breeding values, we can use u as only one criterion.
本研究的目的是用代数方法表示受限育种值的概念，并提出一个用于评估采用受限选择程序所获得的遗传响应的标准。假定存在一个以具有约束条件的多个性状为特征的加性遗传混合模型。如果模型中的随机误差趋近于零且固定效应能够被完全正确估计，那么育种值（u）的受限最佳线性无偏预测值等于 ，其中G、C和u分别是q个性状的加性遗传方差协方差矩阵、约束矩阵和育种值向量。因此，如果我们想要评估对受限选择的响应，比如通过具有已知育种值的随机计算机模拟研究，我们可以仅将u作为一个标准。
