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Fixation Probabilities When Generation Times Are Variable: The Burst–Death Model

机译:发电时间可变时的注视概率:爆发-死亡模型

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摘要

Estimating the fixation probability of a beneficial mutation has a rich history in theoretical population genetics. Typically, to attain mathematical tractability, we assume that generation times are fixed, while the number of offspring per individual is stochastic. However, fixation probabilities are extremely sensitive to these assumptions regarding life history. In this article, we compute the fixation probability for a “burst–death” life-history model. The model assumes that generation times are exponentially distributed, but the number of offspring per individual is constant. We estimate the fixation probability for populations of constant size and for populations that grow exponentially between periodic population bottlenecks. We find that the fixation probability is, in general, substantially lower in the burst–death model than in classical models. We also note striking qualitative differences between the fates of beneficial mutations that increase burst size and mutations that increase the burst rate. In particular, once the burst size is sufficiently large relative to the wild type, the burst–death model predicts that fixation probability depends only on burst rate.
机译:估计有益突变的固定可能性在理论种群遗传学中​​具有丰富的历史。通常,为了获得数学上的可处理性,我们假设世代时间是固​​定的,而每个人的后代数量是随机的。但是,注视概率对有关生活史的这些假设极为敏感。在本文中,我们计算了“猝死”生命历史模型的注视概率。该模型假定世代时间呈指数分布,但每个人的后代数量是恒定的。我们估计固定大小的种群和周期性种群瓶颈之间呈指数增长的种群的固定概率。我们发现,一般而言,猝死模型中的固定概率要比经典模型中的低得多。我们还注意到,在增加突变大小的有益突变的命运与增加突变率的突变之间,存在着质的惊人差异。特别是,一旦爆发大小相对于野生型足够大,爆发死亡模型将预测固视概率仅取决于爆发速率。

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