Sugg D W, Chesser R K
Savannah River Ecology Laboratory, Aiken, South Carolina 29802.
Genetics. 1994 Aug;137(4):1147-55. doi: 10.1093/genetics/137.4.1147.
While the concept of effective population size is of obvious applicability to many questions in population genetics and conservation biology, its utility has suffered due to a lack of agreement among its various formulations. Often, mathematical formulations for effective sizes apply restrictive assumptions that limit their applicability. Herein, expressions for effective sizes of populations that account for mating tactics, biases in sex ratios, and differential dispersal rates (among other parameters) are developed. Of primary interest is the influence of multiple paternity on the maintenance of genetic variation in a population. In addition to the standard inbreeding and variance effective sizes, intragroup (coancestral) and intergroup effective sizes also are developed. Expressions for effective sizes are developed for the beginning of nonrandom gene exchanges (initial effective sizes), the transition of gene correlations (instantaneous effective sizes), and the steady-state (asymptotic effective size). Results indicate that systems of mating that incorporate more than one male mate per female increase all effective sizes above those expected from polygyny and monogamy. Instantaneous and asymptotic sizes can be expressed relative to the fixation indices. The parameters presented herein can be utilized in models of effective sizes for the study of evolutionary biology and conservation genetics.
虽然有效种群大小的概念显然适用于种群遗传学和保护生物学中的许多问题，但其效用却因各种公式之间缺乏一致性而受到影响。通常，有效大小的数学公式应用了限制其适用性的严格假设。在此，我们推导了考虑交配策略、性别比偏差和不同扩散率（以及其他参数）的种群有效大小的表达式。主要关注的是多重父权对种群遗传变异维持的影响。除了标准的近交有效大小和方差有效大小外，还推导了组内（共同祖先）有效大小和组间有效大小。针对非随机基因交换开始时（初始有效大小）、基因相关性转变时（瞬时有效大小）以及稳态（渐近有效大小）推导了有效大小的表达式。结果表明，每个雌性有多个雄性配偶的交配系统会使所有有效大小高于一夫多妻制和一夫一妻制预期的有效大小。瞬时大小和渐近大小可以相对于固定指数来表示。本文提出的参数可用于有效大小模型，以研究进化生物学和保护遗传学。
