Critical mutation rate has an exponential dependence on population size.
Channon, Alastair and Aston, Elizabeth and Day, Charles and Belavkin, Roman V. and Knight, Christopher (2011) Critical mutation rate has an exponential dependence on population size. In: Advances in Artificial Life, ECAL 2011. Proceedings of the Eleventh European Conference on the Synthesis and Simulation of Living Systems. Lenaerts, Tom and Giacobini, Maria and Bersini, Hugues and Bourgine, Paul and Dorigo, Marco and Doursat, René, eds. MIT Press, pp. 117-124. ISBN 9780262297141
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Populations of individuals exist in a wide range of sizes, from billions of microorganisms to fewer than ten individuals in some critically endangered species saved on the brink of extinction. In any evolutionary system, there is signiﬁcant evolutionary pressure to evolve sequences that are both ﬁt and robust; at high mutation rates, individuals with greater mutational robustness can outcompete those with higher ﬁtness, a concept that has been referred to as survival-of-the-ﬂattest. Previous studies have suggested that population size does not inﬂuence the size of mutation rate that can be tolerated before ﬁtter individuals are outcompeted by those that have a greater mutational robustness. However, using a genetic algorithm with a simple two-peak ﬁtness landscape, we show that the size of mutation rate at which the high, narrow peak and the lower, broader peak are lost for increasing population sizes can be approximated by an exponential function (where a peak was considered to be lost when there were no individuals present anywhere in its range). In addition, there is evidence for a continuum of mutation rates representing a transition from survival-of-the-ﬁttest to survival-of-the- flattest. This identiﬁes a critical mutation rate representing the start of the transition, which is deﬁned as the highest mutation rate where survival-of-the-ﬁttest is still the predominant outcome, but where the population is no longer able to maintain the ﬁttest peak indeﬁnitely. The effect of population size on the critical mutation rate is shown to be particularly noticeable in small populations with 100 individuals or less. This provides new insight into the factors that can affect survival-of-the-ﬂattest in small populations, and has implications for populations under threat of local extinction.
|Item Type:||Book Section|
|Research Areas:||Middlesex University Schools and Centres > School of Science and Technology > Computer Science|
Middlesex University Schools and Centres > School of Science and Technology > Computer Science > Artificial Intelligence group
|Deposited On:||17 Feb 2012 06:13|
|Last Modified:||09 Dec 2014 13:39|
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