Demetrius L
Genetics. 1975 Mar;79(3):535-44. doi: 10.1093/genetics/79.3.535.
This paper studies the properties of a new class of demographic parameters for age-structured populations and analyzes the effect of natural selection on these parameters. Two new demographic variables are introduced: the entropy of a population and the reproductive potential. The entropy of a population measures the variability of the contribution of the different age classes to the stationary population. The reproductive potential measures the mean of the contribution of the different age classes to the Malthusian parameter. The Malthusian parameter is precisely the difference between the entropy and the reproductive potential. The effect of these demographic variables on changes in gene frequency is discussed. The concept of entropy of a genotype is introduced and it is shown that in a random mating population in Hardy-Weinberg equilibrium and under slow selection, the rate of change of entropy is equal to the genetic variance in entropy minus the covariance in entropy and reproductive potential. This result is an information theoretic analog of Fisher's fundamental theorem of natural selection.
本文研究了一类新的年龄结构种群的人口统计学参数的性质，并分析了自然选择对这些参数的影响。引入了两个新的人口统计学变量：种群熵和生殖潜力。种群熵衡量不同年龄组对稳定种群贡献的变异性。生殖潜力衡量不同年龄组对马尔萨斯参数贡献的平均值。马尔萨斯参数恰好是熵与生殖潜力之间的差值。讨论了这些人口统计学变量对基因频率变化的影响。引入了基因型熵的概念，并表明在处于哈迪-温伯格平衡的随机交配种群中以及在缓慢选择下，熵的变化率等于熵的遗传方差减去熵与生殖潜力的协方差。这一结果是自然选择费希尔基本定理的信息论类似物。
