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



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.

[img] Text
1505.01751v4.pdf - Submitted version

Download (1MB) | Preview

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
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