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Article Dans Une Revue EPL - Europhysics Letters Année : 2006

Noisy traveling waves: Effect of selection on genealogies

E Brunet
A. Mueller
  • Fonction : Auteur
S Munier
  • Fonction : Auteur

Résumé

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 ln α 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 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.
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Dates et versions

hal-03285578 , version 1 (19-07-2021)

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E Brunet, Bernard Derrida, A. Mueller, S Munier. Noisy traveling waves: Effect of selection on genealogies. EPL - Europhysics Letters, 2006, 76 (1), pp.1-7. ⟨10.1209/epl/i2006-10224-4⟩. ⟨hal-03285578⟩
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