Browsing by Author "Lorenz, Dirk M."

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    Evolutionary processes in finite populations
    (American Physical Society, 2013) Lorenz, Dirk M.; Park, Jeong-Man; Deem, Michael W.
    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 toO(1/N), the time-averaged fitness is lower for the finite population than it is for the infinite population.We also showthat 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.