Generalizing Fishers reproductive value: overlapping and nonoverlapping generations with competing genotypes.

摘要

How to go beyond Fisher's 1930 linear eigenvector definition of reproductive value has been established for dilute systems whose dynamic relations are first-degree-homogeneous functions so that intensive ratios are scale-free. Here such an extension is applied to standard mendelian models. It is shown that, aside from singular cases like that of the Hardy-Weinberg razor's-edge labile equilibrium, such general systems are irreducibly nonlinear and admit of reproductive value functions that are calculable only in an infinite number of steps.