Courteau J, Lessard S
Département de mathématiques et de statistique, Université de Montréal, Succursale Centre-ville, Montréal, H3C 3J7, Canada.
J Theor Biol. 2000 Nov 21;207(2):159-75. doi: 10.1006/jtbi.2000.2160.
In this paper, we develop a general method to determine evolutionary equilibrium sex ratios and to check evolutionary stability, continuous stability and invadability in exact genetic models with or without dominance. This method is then applied to three kinds of models for structured populations: the first one concerns Hamilton's LMC model, except that only a fraction beta of female offspring mate with male offspring born in the same colonies, while a fraction 1-beta mate with male offspring chosen at random within the whole population; in the second model, it is assumed that partial dispersal of inseminated females occurs after mating; in the third model, partial dispersal of male and female offspring occurs before mating. In the first model, the effect of population regulation is studied while, in the other models, two kinds of dispersal are considered: proportional and uniform.
在本文中，我们开发了一种通用方法，用于确定具有或不具有显性的精确遗传模型中的进化平衡性别比，并检验进化稳定性、连续稳定性和可入侵性。然后将该方法应用于三种结构化种群模型：第一种涉及汉密尔顿的局部交配竞争（LMC）模型，不同之处在于只有一小部分β的雌性后代与同一群体中出生的雄性后代交配，而另一部分1-β的雌性后代与从整个种群中随机选择的雄性后代交配；在第二个模型中，假设受精雌性在交配后发生部分扩散；在第三个模型中，雄性和雌性后代在交配前发生部分扩散。在第一个模型中，研究了种群调节的影响，而在其他模型中，考虑了两种扩散：比例扩散和均匀扩散。
