Mutator Dynamics on a Smooth Evolutionary Landscape

We investigate a model of evolutionary dynamics on a smooth landscape which features a ``mutator'' allele which increases the mutation rate. We show that when the fitness is far from its equilibrium value the expected proportion of mutators approaches a value governed solely by the transition rates into and out of the mutator state, resulting in a much faster fitness increase than would be the case without the mutator allele. Near the fitness equilibrium, the mutators are severely suppressed, due to the detrimental effects of a large mutation rate near the fitness maximum. We discuss the results of a recent experiment on natural selection of E. coli in the light of our model.