Kence Aykut, Bryant Edwin H
Am Nat. 1978;112(988):1047-1062. doi: 10.1086/283345.
A model of mating behavior is developed to characterize geographic variation in flies. Normally distributed sexual vigor parameters [Formula: see text] and [Formula: see text] are defined for males and females, respectively. When there is no sexual isolation present, the success and duration of a courtship is determined by the linear difference between the vigors of courting pairs. Sexual isolation is represented as an angle (θ) separating the vigor vectors of courting pairs, and the effectiveness of the male vigor assumes its projection onto the female vector ([Formula: see text]), where cos θ is the correlation between the courtship patterns of the two populations. The corroboration of the basic tenets of mating success implicit in our formulation agrees remarkably well with extant data in percentage of copulations in single pairs, distribution of mating times, the balance between sexes, and the correspondence of the isolation parameter to quantitative differences in courtship patterns among competing genotypes. Sexual vigor, variability in vigor within populations, assortative mating, and duration of copulation interact in a complex manner to determine mating success in competitive circumstances. The model has considerable heuristic value in conceptually separating the oftenconfounded effects of sexual isolation and sexual selection (vigor) and allowing their separate estimation from observed matings within and among competing strains.
建立了一个交配行为模型来描述果蝇的地理变异。分别为雄性和雌性定义了呈正态分布的性活力参数[公式：见正文]和[公式：见正文]。当不存在性隔离时，求偶的成功率和持续时间由求偶对活力的线性差异决定。性隔离表示为分离求偶对活力向量的一个角度（θ），雄性活力的有效性假定为其在雌性向量上的投影（[公式：见正文]），其中cosθ是两个种群求偶模式之间的相关性。我们公式中隐含的交配成功基本原理与单对交配的百分比、交配时间分布、性别平衡以及隔离参数与竞争基因型之间求偶模式定量差异的对应关系等现有数据非常吻合。性活力、种群内活力的变异性、选型交配和交配持续时间以复杂的方式相互作用，以确定竞争环境中的交配成功率。该模型在概念上分离性隔离和性选择（活力）经常混淆的影响，并允许从竞争菌株内部和之间观察到的交配中对它们进行单独估计方面具有相当大的启发价值。
