The analysis of variance and the correlations between relatives with respect to deviations from an optimum
The analysis of variance and the correlations between relatives with respect to deviations from an optimum
复制标题
相对于最佳偏差的方差分析和亲属之间的相关性
DOI：
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发表时间：
1935
期刊：
影响因子：
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通讯作者：
S. Wright
中科院分区：
文献类型：
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作者：
S. Wright
摘要：本文给出了无优势和完全优势情况下最优方差的均值和方差公式，首先假设没有环境复杂性，然后去掉这个限制。每种情况下的方差被分析为(1)可加性基因效应、(2)显性偏差、(3)上位性偏差、(4)环境效应和(5)遗传和环境的非可加性联合效应。在完全支配的情况下，发展了适用于一般上位关系的公式。这些推导出了亲代与子代之间以及两个子代之间的相关公式。在一个种群中，如果某些可测量性状的平均值处于最佳状态，那么无论环境的复杂性如何，亲代和亲兄弟在适应值上的相关关系近似于性状本身相关关系的平方。当平均值不是最优值时，自适应值的相关性与相对于特征本身的相应相关性之间的差异较小。
SummaryThe formulae for the mean and variance of squared deviations from an optimum are given for the cases of no dominance and of complete dominance, first assuming no environmental complications but later removing this restriction. The variance in each case is analysed into contributions due to (1) additive gene effects, (2) dominance deviations, (3) epistatic deviations, (4) environmental effects and (5) nonadditive joint effects of heredity and environment. In the case of complete dominance, formulae are developed which apply to epistatic relations in general. These lead to formulae for the correlations between parent and offspring and between two offspring.It appears that in a population in which the mean of some measurable character is at the optimum, the parent-offspring and fraternal correlations in adaptive value are approximately the squares of the corresponding correlations with respect to the character itself, whatever environmental complications there may be. Where the mean is not at the optimum, there is less difference between the correlations in adaptive value and the corresponding ones with respect to the character itself.