Noisy traveling waves: effect of selection on genealogies

Details Noisy traveling waves: effect of selection on genealogies Noisy traveling waves: effect of selection on genealogies

2006-03-07

arxiv.org/abs/cond-mat/0603160v2

Europhys.Lett. 76 (2006) 1-7

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, 2 figures New version includes more numerical simulations and some rewriting of the text presenting our results

Scientific paper

10.1209/epl/i2006-10224-4

For a family of models of evolving population under selection, which can be described by noisy traveling wave equations, the coalescence times along the genealogical tree scale like $\log^\alpha N$, where $N$ is the size of the population, in contrast with neutral models for which they scale like $N$. An argument relating this time scale to the diffusion constant of the noisy traveling wave leads to a prediction for $\alpha$ which agrees with our simulations. An exactly soluble case gives trees with statistics identical to those predicted for mean-field spin glasses in Parisi's theory.

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