论文标题

种子库罐头图:休眠方式如何平滑随机遗传漂移

Seed bank Cannings Graphs: How dormancy smoothes random genetic drift

论文作者

Casanova, Adrián González, Peñaloza, Lizbeth, Siri-Jégousse, Arno

论文摘要

在本文中,我们介绍了一个随机的(定向)图模型,以同时向前和向后描述具有种子库机制的相当广泛的罐头模型。这提供了一个简单的工具,可以在有限的种群大小中建立采样二重性,并获得前向频率过程和向后祖先过程的途径嵌入。此外,它允许衍生限制定理,将莫尔(Möhle)推广到具有种子库模型的庆祝结果,以及可以看到种子库的效果如何影响家谱的地方。明确的图形结构是了解种子库,繁殖和种群遗传学遗传漂移的微妙相互作用的新工具。

In this article, we introduce a random (directed) graph model for the simultaneous forwards and backwards description of a rather broad class of Cannings models with a seed bank mechanism. This provides a simple tool to establish a sampling duality in the finite population size, and obtain a path-wise embedding of the forward frequency process and the backward ancestral process. Further, it allows the derivation of limit theorems that generalize celebrated results by Möhle to models with seed banks, and where it can be seen how the effect of seed banks affects the genealogies. The explicit graphical construction is a new tool to understand the subtle interplay of seed banks, reproduction and genetic drift in population genetics.

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