RATE OF CHANGE OF A CHARACTER CORRELATED WITH FITNESS
RATE OF CHANGE OF A CHARACTER CORRELATED WITH FITNESS
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DOI：
10.1086/283060
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发表时间：
1976-01-01
影响因子：
2.9
通讯作者：
NAGYLAKI, T
中科院分区：
文献类型：
--
作者：
CROW, JF;NAGYLAKI, T
费雪自然选择基本定理的一个扩展形式给出了一个测量特征的平均值的变化率，hivin C。对于由2个基因座上的多个等位基因决定的性状，这是。图形 **。其中牛顿上级点表示时间导数，圆圈是对数的时间导数。Covg（m，γ）是性状和适应度的基因（加性遗传）协方差。具体地说，它是一个等位基因的平均超额适应度及其对性状的平均影响的协方差。.**图形 **。是单个基因型的性状值的平均变化率，按其频率加权。由于环境变化或人口年龄分布的变化，该值可能为非零值。右边的第三项是两个基因座上所有等位基因对的平均值，即显性偏差和ln θ变化率的乘积。(n)，其中θ。(n)是对随机比例偏离的度量。最后一项是上位相互作用的类似表达式。如果选择比重组弱得多，经过几代之后，最后两项比第一项小得多。当测量的特征是适应度时，结果归结为Kimura对Fisher自然选择基本定理的推广。
An extended form of Fisher''s Fundamental Theorem of Natural Selection gives the rate of change of the mean value, .hivin.C, of a measured character. For a chacter determined by multiple alleles at 2 loci, this is .**GRAPHIC**. where the Newtonian superior dot means the time derivative and the circle is the time derivative of the logarithm. Covg (m, .gamma.) is the genic (additive genetic) covariance of the character and fitness. Specifically, it is the covariance of the average excess of an allele for fitness and its average effect on the character. .**GRAPHIC**. is the average rate of change of the value of the character for individual genotypes, weighted by their frequencies. The value could be nonzero because of changing environments or change in the age distribution of the population. The 3rd term on the right is the average over all pairs of alleles at both loci of the product of the dominance deviation and the rate of change of ln .theta.(n), where .theta.(n) is a measure of departure from random proportions. The last term is a similar expression for epistatic interactions. If selection is much weaker than recombination, after several generations, the last 2 terms are much smaller than the first. When the measured character is fitness, the result reduces to Kimura''s generalization of Fisher''s Fundamental Theorem of Natural Selection.