有限种群中的进化过程。
Evolutionary processes in finite populations.
作者信息
Lorenz Dirk M, Park Jeong-Man, Deem Michael W
机构信息
Department of Physics, Rice University, Houston, Texas, USA.
出版信息
Phys Rev E Stat Nonlin Soft Matter Phys. 2013 Feb;87(2):022704. doi: 10.1103/PhysRevE.87.022704. Epub 2013 Feb 13.
Abstract
We consider the evolution of large but finite populations on arbitrary fitness landscapes. We describe the evolutionary process by a Markov-Moran process. We show that to O(1/N), the time-averaged fitness is lower for the finite population than it is for the infinite population. We also show that fluctuations in the number of individuals for a given genotype can be proportional to a power of the inverse of the mutation rate. Finally, we show that the probability for the system to take a given path through the fitness landscape can be nonmonotonic in system size.
摘要
我们考虑在任意适应度景观上大但有限的种群的演化。我们用马尔可夫 - 莫兰过程描述进化过程。我们表明，对于有限种群，时间平均适应度比无限种群低至(O(1/N))。我们还表明，给定基因型个体数量的波动可能与突变率倒数的幂成正比。最后，我们表明系统在适应度景观中采取给定路径的概率在系统大小上可能是非单调的。
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