Evolutionary branching in a stochastic population model with discrete mutational steps

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Sagitov, Serik,1956Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper, matematisk statistik,Department of Mathematical Sciences, Mathematical Statistics,Chalmers tekniska högskola,Chalmers University of Technology,University of Gothenburg (författare)

Evolutionary branching is analysed in a stochastic, individual-based population model under mutation and selection. In such models, the common assumption is that individual reproduction and life career are characterised by values of a trait, and also by population sizes, and that mutations lead to small changes ϵ in trait value. Then, traditionally, the evolutionary dynamics is studied in the limit ϵ→0. In the present approach, small but non-negligible mutational steps are considered. By means of theoretical analysis in the limit of infinitely large populations, as well as computer simulations, we demonstrate how discrete mutational steps affect the patterns of evolutionary branching. We also argue that the average time to the first branching depends in a sensitive way on both mutational step size and population size.

Mehlig, Bernhard,1964Gothenburg University,Göteborgs universitet,Institutionen för fysik (GU),Department of Physics (GU),University of Gothenburg(Swepub:gu)xmehbe (författare)
Jagers, Peter,1941Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper, matematisk statistik,Department of Mathematical Sciences, Mathematical Statistics,University of Gothenburg,Chalmers tekniska högskola,Chalmers University of Technology(Swepub:cth)jagers (författare)
Vatutin, V (författare)
Klebaner, Fima C.Russian Academy of Sciences (författare)
Göteborgs universitetInstitutionen för matematiska vetenskaper, matematisk statistik (creator_code:org_t)

Ingår i:Theoretical Population Biology: Elsevier BV83, s. 145-1540040-58091096-0325

Av författaren/redakt...: Sagitov, Serik, ...; Mehlig, Bernhard ...; Jagers, Peter, 1 ...; Vatutin, V; Klebaner, Fima C ...

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