连续变异的进化：通过基因型和表型的联合分布的直接方法。
Evolution of continuous variation: direct approach through joint distribution of genotypes and phenotypes.
作者信息
Cavalli-Sforza L L, Feldman M W
出版信息
Proc Natl Acad Sci U S A. 1976 May;73(5):1689-92. doi: 10.1073/pnas.73.5.1689.
The evolutionary dynamics of the joint distribution of genotypes and phenotypes is studied. The model, originally devised to study the joint effects of Mendelian and other types of transmissions, provides results of interest also to the theory of direct Mendelian transmission with natural selection. Assuming bivariate normal distributions, it is shown that in the latter case genotypic and phenotypic means and variances, and genotype-phenotype correlation can be expressed recursively as functions of the parameters for the selection, environmental, and mutation variance. Equilibria and rates of approach for these moments are calculated. It is also proved that in the presence of selection the heritability,defined as the ratio of expected genotypic to expected phenotypic variance after selection, is greater than that before selection by a predictable amount and that it can be greater than unity.
研究了基因型和表型联合分布的进化动力学。该模型最初设计用于研究孟德尔遗传和其他类型遗传的联合效应，对于自然选择下的直接孟德尔遗传理论也有重要意义。假设为二元正态分布，结果表明，在后一种情况下，基因型和表型的均值、方差以及基因型 - 表型相关性可以递归地表示为选择、环境和突变方差参数的函数。计算了这些矩的平衡点和趋近速率。还证明了在存在选择的情况下，遗传力（定义为选择后预期基因型方差与预期表型方差之比）比选择前的遗传力大一个可预测的值，并且可能大于1。
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