| Issue |
Europhys. Lett.
Volume 76, Number 1, October 2006
|
|
|---|---|---|
| Page(s) | 1 - 7 | |
| Section | General | |
| DOI | https://doi.org/10.1209/epl/i2006-10224-4 | |
| Published online | 01 September 2006 | |
Noisy traveling waves: Effect of selection on genealogies
1
Laboratoire de Physique Statistique, École Normale Supérieure 24 rue Lhomond, 75231 Paris cedex 05, France
2
Department of Physics, Columbia University - New York, NY 10027, USA
3
Centre de Physique Théorique, Unité mixte de recherche du CNRS (UMR 7644) École Polytechnique - 91128 Palaiseau, France
Received:
5
July
2006
Accepted:
2
August
2006
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 
, 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 α which agrees with our simulations. An
exactly soluble case gives trees with statistics identical to those
predicted for mean-field spin glasses by Parisi's theory.
PACS: 02.50.-r – Probability theory, stochastic processes, and statistics / 05.40.-a – Fluctuation phenomena, random processes, noise, and Brownian motion / 89.75.Hc – Networks and genealogical trees
© EDP Sciences, 2006
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