An individual-based model for the Lenski experiment, and the deceleration of the relative fitness

Adrián González Casanova, Noemi Kurt, Anton Wakolbinger and Linglong Yuan

Stochastic Processes and their Applications, 2016, vol. 126, issue 8, 2211-2252

Abstract: The Lenski experiment investigates the long-term evolution of bacterial populations. In this paper we present an individual-based probabilistic model that captures essential features of the experimental design, and whose mechanism does not include epistasis in the continuous-time (intraday) part of the model, but leads to an epistatic effect in the discrete-time (interday) part. We prove that under some assumptions excluding clonal interference, the rescaled relative fitness process converges in the large population limit to a power law function, similar to the one obtained by Wiser et al. (2013), there attributed to effects of clonal interference and epistasis.

Keywords: Experimental evolution; Lenski experiment; Relative fitness; Yule processes; Cannings dynamics; Branching process approximation (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:spapps:v:126:y:2016:i:8:p:2211-2252

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DOI: 10.1016/j.spa.2016.01.009

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