Neutral Evolution as Diffusion in phenotype space: reproduction with mutation but without selection

Details Neutral Evolution as Diffusion in phenotype space: reproduction with mutation but without selection Neutral Evolution as Diffusion in phenotype space: reproduction with mutation but without selection

2006-09-07

arxiv.org/abs/q-bio/0609009v4

Phys. Rev. Lett. 98, 098102 (2007)

Biology

Quantitative Biology

Populations and Evolution

4 pages, 2 figures. Paper now representative of published article

Scientific paper

10.1103/PhysRevLett.98.098102

The process of `Evolutionary Diffusion', i.e. reproduction with local mutation but without selection in a biological population, resembles standard Diffusion in many ways. However, Evolutionary Diffusion allows the formation of local peaks with a characteristic width that undergo drift, even in the infinite population limit. We analytically calculate the mean peak width and the effective random walk step size, and obtain the distribution of the peak width which has a power law tail. We find that independent local mutations act as a diffusion of interacting particles with increased stepsize.

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