Computer simulation for the growing probability of additional offspring with an advantageous reversal allele in the decoupled continuous-time mutation–selection model

Wonpyong Gill ()
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Wonpyong Gill: Department of Physics, Pusan National University, Busan 609-735, Korea

International Journal of Modern Physics C (IJMPC), 2016, vol. 27, issue 06, 1-14

Abstract: This study calculated the growing probability of additional offspring with the advantageous reversal allele in an asymmetric sharply-peaked landscape using the decoupled continuous-time mutation–selection model. The growing probability was calculated for various population sizes, N, sequence lengths, L, selective advantages, s, fitness parameters, k and measuring parameters, C. The saturated growing probability in the stochastic region was approximately the effective selective advantage, s*, when C≫1∕Ns* and s*≪1. The present study suggests that the growing probability in the stochastic region in the decoupled continuous-time mutation–selection model can be described using the theoretical formula for the growing probability in the Moran two-allele model. The selective advantage ratio, which represents the ratio of the effective selective advantage to the selective advantage, does not depend on the population size, selective advantage, measuring parameter and fitness parameter; instead the selective advantage ratio decreases with the increasing sequence length.

Keywords: Growing probability; mutation–selection model; advantageous reversal allele; decoupled model; asymmetric sharply-peaked landscape (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1142/S0129183116500704

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