Population Genetics with Fluctuating Population Sizes
Thiparat Chotibut, David R. Nelson
备注：
Submitted to Journal of Statistical Physics, Special Issue: Dedicated to the Memory of Leo Kadanoff. arXiv admin note: text overlap with arXiv:1412.6688
Standard neutral population genetics theory with a strictly fixed population size has important limitations. An alternative model that allows independently fluctuating population sizes and reproduces the standard neutral evolution is reviewed. We then study a situation such that the competing species are neutral at the equilibrium population size but population size fluctuations nevertheless favor fixation of one species over the other. In this case, a separation of timescales emerges naturally and allows adiabatic elimination of a fast population size variable to deduce the fluctuations-induced selection dynamics near the equilibrium population size. The results highlight the incompleteness of the standard population genetics with a strictly fixed population size.
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Grupo Interdisciplinar de Sistemas Complejos (GISC) and Departamento de Estructura de la Materia, Física Térmica y Electrónica, Universidad Complutense de Madrid（马德里康普顿斯大学复杂系统跨学科小组及物质结构、热学与电子学系）
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Nanjing University of Posts and Telecommunications（南京邮电大学）；Nanjing University（南京大学）；University of Pittsburgh School of Medicine（匹兹堡大学医学院）；AlbaNova University Center（阿尔巴诺瓦大学中心）
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