论文标题
罐装班级以外的可交换结合体
Exchangeable coalescents beyond the Cannings class
论文作者
论文摘要
我们为研究中性离散时间人群的家谱研究提出了一个一般框架。我们删除了在罐头模型中出现的后代分布的交换性的标准假设，并以不限制的生殖成功的限制性条件替代了它。我们提供了一个通用标准，即它们的家谱对$ξ$ coalescents的弱收敛性，并将其应用于我们场景的简单参数化（在轻度条件下，我们还证明了本质上包括一般情况）。我们提供了此类人群的示例，包括具有高度空气的后代分布和人群的模型，经历了随机但经常性的瓶颈。最后，我们研究了一种新的指数模型的限制家谱，如先前所示的相关模型所示，尽管它具有内置的（健身）遗传机制，但可以将其带入我们的环境中。
We propose a general framework for the study of the genealogy of neutral discrete-time populations. We remove the standard assumption of exchangeability of offspring distributions appearing in Cannings' models, and replace it by a less restrictive condition of non-heritability of reproductive success. We provide a general criterion for the weak convergence of their genealogies to $Ξ$-coalescents, and apply it to a simple parametrization of our scenario (which, under mild conditions, we also prove to essentially include the general case). We provide examples for such populations, including models with highly-asymmetric offspring distributions and populations undergoing random but recurrent bottlenecks. Finally we study the limit genealogy of a new exponential model which, as previously shown for related models and in spite of its built in (fitness) inheritance mechanism, can be brought into our setting.
