Heterogeneity in background fitness acts as a suppressor of selection
Heterogeneity in background fitness acts as a suppressor of selection
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DOI：
10.1016/j.jtbi.2013.10.013
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发表时间：
2014-02-21
影响因子：
2
通讯作者：
Nowak, Martin A.
中科院分区：
文献类型：
--
作者：
Hauser, Oliver P.;Traulsen, Arne;Nowak, Martin A.
我们将背景适应度的异质性概念引入有限种群的进化动力学。背景适应度是特定于个体的，但与个体的策略无关。它可以被认为是一种与个体的身体或社会地位有关的属性，但不依赖于所考虑的进化过程中所采用的策略。在我们的模型中，个体的总适合度是其背景适合度和使用特定策略获得的适合度的总和。这种方法对行为策略的模仿具有重要的意义：如果我们模仿他人的成功，但只能采用他们的行为，而不能采用他们的社会和经济关系，我们可能模仿是徒劳的。我们研究了背景适应度异质性对具有恒定适应度的突变策略固定的影响。我们发现异质性抑制了选择，但也缩短了新策略占领种群或再次丢失的时间。我们得到了小种群中固定概率的解析解。在具有最大不平等的种群中总背景适应度较大的情况下，我们发现了固定概率的一个特别简单的近似值。数值模拟表明，这种简单的近似也适用于较大的种群规模。(C) 2013 Elsevier Ltd.版权所有。
We introduce the concept of heterogeneity in background fitness to evolutionary dynamics in finite populations. Background fitness is specific to an individual but not linked to its strategy. It can be thought of as a property that is related to the physical or societal position of an individual, but is not dependent on the strategy that is adopted in the evolutionary process under consideration. In our model, an individual's total fitness is the sum of its background fitness and the fitness derived from using a specific strategy. This approach has important implications for the imitation of behavioural strategies: if we imitate others for their success, but can only adopt their behaviour and not their social and economic ties, we may imitate in vain. We study the effect of heterogeneity in background fitness on the fixation of a mutant strategy with constant fitness. We find that heterogeneity suppresses selection, but also decreases the time until a novel strategy either takes over the population or is lost again. We derive analytical solutions of the fixation probability in small populations. In the case of large total background fitness in a population with maximum inequality, we find a particularly simple approximation of the fixation probability. Numerical simulations suggest that this simple approximation also holds for larger population sizes. (C) 2013 Elsevier Ltd. All rights reserved.