Accumulation of beneficial mutations in one dimension

Details Accumulation of beneficial mutations in one dimension Accumulation of beneficial mutations in one dimension

2011-03-29

arxiv.org/abs/1103.5685v1

Biology

Quantitative Biology

Populations and Evolution

Scientific paper

When beneficial mutations are relatively common, competition between multiple unfixed mutations can reduce the rate of fixation in well-mixed asexual populations. We introduce a one-dimensional model with a steady accumulation of beneficial mutations. We find a transition between sequential fixation and interference regimes. In the interference regime the increase of fitness along the lattice bears a striking similarity to surface growth phenomena, and we find significant differences compared to the well-mixed model. The rate of fixation is reduced with increasing mutation rate. Also the rate of fixation is independent of population size, which implies that beneficial mutations are effectively neutral, in that they fixate with probability proportional to 1/N.

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