Relative population size, cooperation pressure and strategy correlation in two-population evolutionary dynamics
Relative population size, cooperation pressure and strategy correlation in two-population evolutionary dynamics
复制标题
两个种群进化动态中的相对种群规模、合作压力和策略相关性
DOI：
10.1080/14786435.2011.634851
复制
发表时间：
2007
影响因子：
1.6
通讯作者：
T. Galla
中科院分区：
文献类型：
--
作者：
T. Galla
我们用统计力学方法研究了两个随机复制子种群的耦合动力学，重点研究了相对种群规模、策略相关性和异质性在各自的合作压力中的作用。为此，我们将现有的路径积分方法推广到具有随机非对称耦合的复制子系统。这一技术使人们可以建立一个有效的动力学理论，它在热力学极限下是精确的，并且可以在不考虑相互作用的对称性的情况下，在固定点区域内求解持久序参数。不稳定性的开始可以自洽地确定。我们计算了定态下各个种群的多样性及其适合度等量，并将结果与复制者方程的数值积分的数据进行了比较。
We study the coupled dynamics of two populations of random replicators by means of statistical mechanics methods, and focus on the effects of relative population size, strategy correlations and heterogeneities in the respective cooperation pressures. To this end we generalise existing path-integral approaches to replicator systems with random asymmetric couplings. This technique allows one to formulate an effective dynamical theory, which is exact in the thermodynamic limit and which can be solved for persistent order parameters in a fixed-point regime regardless of the symmetry of the interactions. The onset of instability can be determined self-consistently. We calculate quantities such as the diversity of the respective populations and their fitnesses in the stationary state, and compare results with data from a numerical integration of the replicator equations.