Fu Feng, Nowaks Martin A
Program for Evolutionary Dynamics, Harvard University, Cambridge, MA 02138, USA.
J Stat Phys. 2013 May 1;151(3-4):637-653. doi: 10.1007/s10955-012-0631-6.
The outcome of evolutionary processes depends on population structure. It is well known that mobility plays an important role in affecting evolutionary dynamics in group structured populations. But it is largely unknown whether global or local migration leads to stronger spatial selection and would therefore favor to a larger extent the evolution of cooperation. To address this issue, we quantify the impacts of these two migration patterns on the evolutionary competition of two strategies in a finite island model. Global migration means that individuals can migrate from any one island to any other island. Local migration means that individuals can only migrate between islands that are nearest neighbors; we study a simple geometry where islands are arranged on a one-dimensional, regular cycle. We derive general results for weak selection and large population size. Our key parameters are: the number of islands, the migration rate and the mutation rate. Surprisingly, our comparative analysis reveals that global migration can lead to stronger spatial selection than local migration for a wide range of parameter conditions. Our work provides useful insights into understanding how different mobility patterns affect evolutionary processes.
进化过程的结果取决于种群结构。众所周知，迁移在影响群体结构化种群的进化动态中起着重要作用。但全球或局部迁移是否会导致更强的空间选择，从而在更大程度上有利于合作的进化，这在很大程度上尚不清楚。为了解决这个问题，我们在有限岛屿模型中量化了这两种迁移模式对两种策略进化竞争的影响。全球迁移意味着个体可以从任何一个岛屿迁移到任何其他岛屿。局部迁移意味着个体只能在最近邻的岛屿之间迁移；我们研究一种简单的几何结构，即岛屿排列在一维规则循环上。我们推导出了弱选择和大种群规模的一般结果。我们的关键参数是：岛屿数量、迁移率和突变率。令人惊讶的是，我们的比较分析表明，在广泛的参数条件下，全球迁移比局部迁移能导致更强的空间选择。我们的工作为理解不同迁移模式如何影响进化过程提供了有用的见解。
