Samuelson P A
Proc Natl Acad Sci U S A. 1978 Aug;75(8):4062-6. doi: 10.1073/pnas.75.8.4062.
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.
对于动态关系为一阶齐次函数从而强度比无尺度的稀释系统,如何超越费希尔1930年关于生殖值的线性特征向量定义已经明确。在此,这种扩展应用于标准孟德尔模型。结果表明,除了像哈迪 - 温伯格刀刃式不稳定平衡这样的特殊情况外,此类一般系统本质上是非线性的,并且具有只能通过无限步骤计算的生殖值函数。