Hindersin Laura, Traulsen Arne
Department of Evolutionary Theory, Max Planck Institute for Evolutionary Biology, Plön, Germany.
PLoS Comput Biol. 2015 Nov 6;11(11):e1004437. doi: 10.1371/journal.pcbi.1004437. eCollection 2015 Nov.
We analyze evolutionary dynamics on graphs, where the nodes represent individuals of a population. The links of a node describe which other individuals can be displaced by the offspring of the individual on that node. Amplifiers of selection are graphs for which the fixation probability is increased for advantageous mutants and decreased for disadvantageous mutants. A few examples of such amplifiers have been developed, but so far it is unclear how many such structures exist and how to construct them. Here, we show that almost any undirected random graph is an amplifier of selection for Birth-death updating, where an individual is selected to reproduce with probability proportional to its fitness and one of its neighbors is replaced by that offspring at random. If we instead focus on death-Birth updating, in which a random individual is removed and its neighbors compete for the empty spot, then the same ensemble of graphs consists of almost only suppressors of selection for which the fixation probability is decreased for advantageous mutants and increased for disadvantageous mutants. Thus, the impact of population structure on evolutionary dynamics is a subtle issue that will depend on seemingly minor details of the underlying evolutionary process.
我们分析图上的进化动力学，其中节点代表种群中的个体。一个节点的连接描述了该节点上个体的后代可以取代哪些其他个体。选择放大器是这样的图，对于有利突变体，其固定概率增加，而对于不利突变体，其固定概率降低。已经开发出了一些这样的放大器示例，但到目前为止，尚不清楚存在多少这样的结构以及如何构建它们。在这里，我们表明几乎任何无向随机图都是出生 - 死亡更新的选择放大器，在出生 - 死亡更新中，个体被选中进行繁殖的概率与其适应度成正比，并且其后代会随机取代其邻居之一。相反，如果我们关注死亡 - 出生更新，即随机移除一个个体，其邻居竞争空位，那么相同的图集几乎只包含选择抑制器，对于选择抑制器，有利突变体的固定概率降低，而不利突变体的固定概率增加。因此，种群结构对进化动力学的影响是一个微妙的问题，它将取决于基础进化过程中看似微小的细节。
