休眠的种群遗传模型

J. Blath, N. Kurt
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引用次数: 8

摘要

在本文中,我们研究了休眠对抽象群体遗传水平的影响。我们首先简要回顾了种群遗传学中的种子库模型,以及休眠在进化力量相互作用中的作用,然后讨论了两个最近的范式模型,涉及自发响应。个体在活跃状态和休眠状态之间同时切换。我们证明了这两种机制都产生了非平凡的数学对象,即(连续)种子库扩散和具有跳跃的种子库扩散,以及它们的对偶过程,即种子库合并和种子库合并同时切换。
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Population genetic models of dormancy
In the present article, we investigate the effects of dormancy on an abstract population genetic level. We first provide a short review of seed bank models in population genetics, and the role of dormancy for the interplay of evolutionary forces in general, before we discuss two recent paradigmatic models, referring to spontaneous resp. simultaneous switching of individuals between the active and the dormant state. We show that both mechanisms give rise to non-trivial mathematical objects, namely the (continuous) seed bank diffusion and the seed bank diffusion with jumps, as well as their dual processes, the seed bank coalescent and the seed bank coalescent with simultaneous switching.
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Asymptotic laws of summands I: square integrable independent random variables On cyclic and nontransitive probabilities At the edge of a one-dimensional jellium Population genetic models of dormancy Optimal and algorithmic norm regularization of random matrices
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