论文标题
休眠对进化分支的影响
The impact of dormancy on evolutionary branching
论文作者
论文摘要
在本文中,我们研究了随机自适应动力学的“罕见突变”和“大种群”制度中休眠的后果。从基于个体的微型模型开始,我们首先根据Baar和Bovier(2018)的先前工作来得出人群的多态性演化序列。在传递到第二个“小突变”极限之后,我们到达了自适应动力学的规范方程,并陈述了进化分支的相应标准,从而扩大了Champagnat和Méléard(2011)的先前结果。 该标准允许对Dieckmann和Doebeli(1999)的著名模型中休眠作用进行定量和定性分析。实际上,一个非常直观的图片合并:休眠扩大了进化分支的参数范围,增加了分支后的子人群的承载能力和利基宽度,并且取决于模型参数,可以增加或减少种群适应速度的“速度”。最后,休眠通过增加亚群之间的遗传距离来增加多样性。
In this paper, we investigate the consequences of dormancy in the `rare mutation' and `large population' regime of stochastic adaptive dynamics. Starting from an individual-based micro-model, we first derive the polymorphic evolution sequence of the population, based on previous work by Baar and Bovier (2018). After passing to a second `small mutations' limit, we arrive at the canonical equation of adaptive dynamics, and state a corresponding criterion for evolutionary branching, extending a previous result of Champagnat and Méléard (2011). The criterion allows a quantitative and qualitative analysis of the effects of dormancy in the well-known model of Dieckmann and Doebeli (1999) for sympatric speciation. In fact, a quite intuitive picture merges: Dormancy enlarges the parameter range for evolutionary branching, increases the carrying capacity and niche width of the post-branching sub-populations, and, depending on the model parameters, can either increase or decrease the `speed of adaptation' of populations. Finally, dormancy increases diversity by increasing the genetic distance between subpopulations.