Department of Statistics, University of California, Riverside, California 92521, USA.
Genetics. 2010 Nov;186(3):1053-66. doi: 10.1534/genetics.110.120311. Epub 2010 Aug 30.
Environment-specific quantitative trait loci (QTL) refer to QTL that express differently in different environments, a phenomenon called QTL-by-environment (Q × E) interaction. Q × E interaction is a difficult problem extended from traditional QTL mapping. The mixture model maximum-likelihood method is commonly adopted for interval mapping of QTL, but the method is not optimal in handling QTL interacting with environments. We partitioned QTL effects into main and interaction effects. The main effects are represented by the means of QTL effects in all environments and the interaction effects are represented by the variances of the QTL effects across environments. We used the Markov chain Monte Carlo (MCMC) implemented Bayesian method to estimate both the main and the interaction effects. The residual error covariance matrix was modeled using the factor analytic covariance structure. A simulation study showed that the factor analytic structure is robust and can handle other structures as special cases. The method was also applied to Q × E interaction mapping for the yield trait of barley. Eight markers showed significant main effects and 18 markers showed significant Q × E interaction. The 18 interacting markers were distributed across all seven chromosomes of the entire genome. Only 1 marker had both the main and the Q × E interaction effects. Each of the other markers had either a main effect or a Q × E interaction effect but not both.
环境特异性数量性状位点(QTL)是指在不同环境中表现不同的 QTL,这种现象称为 QTL 与环境(Q×E)互作。Q×E 互作是从传统 QTL 作图扩展而来的一个难题。混合模型最大似然法常用于 QTL 的区间作图,但该方法在处理与环境相互作用的 QTL 时不是最优的。我们将 QTL 效应分为主效和互作效应。主效由 QTL 效应在所有环境中的均值表示,互作效应由 QTL 效应在环境间的方差表示。我们使用 Markov 链蒙特卡罗(MCMC)实现的贝叶斯方法来估计主效和互作效应。残差协方差矩阵采用因子分析协方差结构进行建模。模拟研究表明,因子分析结构稳健,可处理其他结构作为特例。该方法还应用于大麦产量性状的 Q×E 互作作图。8 个标记显示出显著的主效,18 个标记显示出显著的 Q×E 互作。18 个相互作用的标记分布在整个基因组的 7 条染色体上。只有 1 个标记同时具有主效和 Q×E 互作效应。其他每个标记要么具有主效应,要么具有 Q×E 互作效应,但不是两者都有。