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Noisy traveling waves: effect of selection on genealogies
- Publication Year :
- 2006
-
Abstract
- 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.<br />Comment: 4 pages, 2 figures New version includes more numerical simulations and some rewriting of the text presenting our results
Details
- Database :
- OAIster
- Publication Type :
- Electronic Resource
- Accession number :
- edsoai.on1246613835
- Document Type :
- Electronic Resource
- Full Text :
- https://doi.org/10.1209.epl.i2006-10224-4