Findlay C S
Ottawa-Carleton Institute of Biology and Nonlinear Dynamics Study Group, University of Ottawa, Ontario, Canada.
Theor Popul Biol. 1992 Feb;41(1):72-89. doi: 10.1016/0040-5809(92)90050-4.
The "Secondary Theorem of Natural Selection," an extension of Fisher's fundamental theorem, states that the rate of change in the mean of an arbitrary character in response to selection is proportional to the additive genetic covariance between the character and fitness. Here I derive an expression for the change in the mean value of a trait subject to both genetic and cultural transmission. I start with the one-locus case under generalized mating and cultural transmission from parents to offspring, then proceed to the two-locus case. My results support previous work on the effects of nongenetic inheritance by showing that (i) cultural transmission introduces a timelag in the population response to selection; (ii) with cultural transmission the effects of selection persist even after selection is relaxed; and (iii) cultural transmission can either enhance or retard phenotypic evolution relative to that obtained under purely genetic transmission.
“自然选择第二定理”是费希尔基本定理的一个扩展，它指出，一个任意性状的均值因选择而发生变化的速率，与该性状和适合度之间的加性遗传协方差成正比。在此，我推导出了一个受遗传和文化传递影响的性状均值变化的表达式。我先从广义交配和从亲代到子代的文化传递下的单基因座情况入手，然后再推进到双基因座情况。我的结果支持了先前关于非遗传继承效应的研究，表明：（i）文化传递在群体对选择的响应中引入了时间滞后；（ii）有了文化传递，即使在选择放松之后，选择的影响仍然存在；（iii）相对于纯遗传传递下所获得的情况，文化传递既可以增强也可以阻碍表型进化。
