None | July 24, 14:00
Population Size Dependence of Evolutionary Paths in Bacteria
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 non-monotonic in system size.
Catholic University of Korea
Seminarraum Theoretische Physik
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