Studying crossover genotype x environment interaction using linear-bilinear models and mixed models

Studying crossover genotype x environment interaction using linear-bilinear models and mixed models
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DOI:
10.1198/108571104x4423
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发表时间:
2004-09-01
影响因子:
1.4
通讯作者:
Cornelius, PL
Cornelius, PL
中科院分区:
数学4区
文献类型:
--
作者:
Crossa, J;Yang, RC;Cornelius, PL

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在农业和植物育种中,最重要的基因型×环境互作模式是交叉基因型×环境互作。使用线性双线性模型的程序被用来找到不相交的子集的网站或基因型与可忽略不计的交叉基因型x环境的相互作用。在相关性方面,这些位点或基因型的子集应该是这样的,成对的位点具有几乎完美的正遗传相关性。位点之间完美的正遗传相关是非COI模式的充分条件,但不是必要条件。本研究的主要目的是使用混合模型理论,以确认通过使用线性-双线性模型形成的位点和基因型的子集具有可忽略的交叉基因型×环境的相互作用。如果在位点或基因型的子集中没有显著的交叉交互作用,那么混合模型应该能够通过不拒绝协方差结构具有完美遗传相关性的假设来证实这一点。混合模型分析的结果,从两个多地点品种试验证实了使用线性双线性模型方法聚类网站和基因型到非交叉基因型X环境相互作用子集的程序的有效性。
In agriculture and plant breeding the most important genotype x environment interaction pattern is crossover genotype x environment interaction. Procedures using linear-bilinear models are used to find disjoint subsets of sites or genotypes with negligible crossover genotype x environment interaction. In terms of correlations, these subsets of sites or genotypes should be such that pairs of sites have nearly perfect positive genetic correlations. Perfect positive genetic correlation between sites is a sufficient, but not a necessary, condition for a non-COI pattern. The main objective of this study was to use the mixed model theory to confirm that the subsets of sites and genotypes formed by using the linear-bilinear models have negligible crossover genotype x environment interaction. If there is no significant crossover interaction in a subset of sites or genotypes, then the mixed model should be able to confirm this by nonrejection of the hypothesis that the covariance structure has perfect genetic correlation. Mixed model analysis of results from two multisite cultivar trials confirmed the validity of the procedures using linear-bilinear model methods for clustering sites and genotypes into noncrossover genotype x environment interaction subsets.