González Casanova, Adrián, Kurt, Noemi, Wakolbinger, Anton and Yuan, Linglong ORCID: 0000-0002-7851-1631
(2016)
An individual-based model for the Lenski experiment, and the deceleration of the relative fitness.
Stochastic Processes and their Applications, 126 (8).
pp. 2211-2252.
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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.
Item Type: | Article |
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Additional Information: | minor changes, additional references, some comments on the notion of relative fitness and on the modelling assumptions added |
Uncontrolled Keywords: | Experimental evolution, Lenski experiment, Relative fitness, Yule processes, Cannings dynamics, Branching process approximation |
Depositing User: | Symplectic Admin |
Date Deposited: | 01 Apr 2020 10:37 |
Last Modified: | 18 Jan 2023 23:56 |
DOI: | 10.1016/j.spa.2016.01.009 |
Related URLs: | |
URI: | https://livrepository.liverpool.ac.uk/id/eprint/3081343 |