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Evolutionary processes in finite populations
Phys. Rev. E 87, 022704 – Published 13 February, 2013
DOI: https://doi.org/10.1103/PhysRevE.87.022704
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 , 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.
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