Stochastic effects in LMC models
Stochastic effects in LMC models
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DOI：
10.1006/tpbi.1998.1387
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发表时间：
1999-04-01
影响因子：
1.4
通讯作者：
Lessard, S
中科院分区：
文献类型：
--
作者：
Courteau, J;Lessard, S
LMC（本地配偶竞争）最初由 W. D. Hamilton 提出，用于解释在各种昆虫和螨虫中观察到的异常雌性性别比例。在最初的模型中，种群被细分为无限数量的群体，这些群体由固定数量的受精雌性建立，并产生同样数量的后代。雄性后代在群体内竞争，让雌性后代受精，然后雌性后代随机分散，建立新的群体。人们发现，无与伦比的性别比例策略存在女性偏见。在本文中，考虑了具有随机大小的菌落和产生随机有限数量后代的雌性的影响。推导了精确的进化稳定策略（ESS）性别比，并与之前的近似或数值结果进行了比较。随着孵化规模平均值或方差的增加，ESS 性别比例变得更加偏向雌性。当平均育雏规模和集落规模都很小时，集落规模方差的增加会增加雄性的 ESS 比例，但当平均育雏规模或平均集落规模较大时，会降低该比例。 (C) 1999 年学术出版社。
LMC (local mate competition) was first introduced by W. D. Hamilton to explain extraordinary female-biased sex ratios observed in a variety of insects and mites. In the original model, the population is subdivided into an infinite number of colonies founded by a fixed number of inseminated females producing the same very large number of offspring. The male offspring compete within the colonies to inseminate the female offspring and then these disperse at random to found new colonies. An unbeatable sex ratio strategy is found to be female-biased. In this paper, the effects of having colonies of random size and foundresses producing a random finite number of offspring are considered. The exact evolutionarily stable strategy (ESS) sex ratio is deduced and comparisons with previous approximate or numerical results are made. As the mean or the variance of brood size increases, the ESS sex ratio becomes more female-biased. An increase in the variance of colony size increases the ESS proportion of males when the mean brood size and colony size are both small, but decreases this proportion when the mean brood size or the mean colony size is large. (C) 1999 Academic Press.