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A mixture model approach to the mapping of QTL controlling endosperm traits with bulked samples

机译:混合模型方法通过大量样品定位控制胚乳性状的QTL

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摘要

Endosperm traits are of triploid inheritance and have become a focus of breeding effort for their close relations with the grain quality. Current methods for mapping quantitative trait loci (QTL) underlying endosperm traits are restricted to the use of the phenotypes of single grain samples as input data set, which are often not available in practice due to the small size of the cereal seeds. This paper proposed a statistical model for one specially tailored mapping strategy, where the marker genotypes are obtained from the maternal plants in the segregation population and the phenotypic responses are replaced by the trait means of composite endosperm samples pooled from each plant. It should therefore be more practical and have wide applicability in mapping endosperm traits. The method was implemented by fitting the phenotypic means of endosperms into a Gaussian mixture model. Both the exact and approximate Expectation-Maximization algorithms were proposed to estimate the model parameters. The presence of the QTL was determined by likelihood ratio test statistics. Statistical power and other properties of the new method were investigated and compared to the current single-seed method under a variety of scenarios through simulation studies. The simulations suggest a reasonable sample size should be used to ensure reliable results. The proposed method was also applied to a simulated genome data for further evaluation. As an illustration, a real data of maize was analyzed to find the loci responsible for the popping expansion volume.
机译:胚乳性状是三倍体遗传的,并且因其与谷物品质的密切关系而成为育种工作的重点。当前用于映射胚乳性状的数量性状基因座(QTL)的方法仅限于使用单一谷物样品的表型作为输入数据集,由于谷物种子的体积小,在实践中通常不可用。本文提出了一种针对特殊定制作图策略的统计模型,其中标记基因型从隔离种群的母本植物中获得,表型反应被从每种植物中收集的复合胚乳样品的性状方式所取代。因此,它应该更实用并且在映射胚乳性状方面具有广泛的适用性。该方法是通过将胚乳的表型平均值拟合到高斯混合模型中来实现的。提出了精确期望和近似期望最大化算法来估计模型参数。 QTL的存在由似然比检验统计确定。通过仿真研究,研究了该新方法的统计功效和其他属性,并将其与当前的单种子方法进行了比较。模拟表明应使用合理的样本量来确保可靠的结果。所提出的方法也被应用于模拟的基因组数据以进一步评估。作为说明,分析了玉米的真实数据,以找出造成爆裂扩展量的基因座。

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