npsm 새물리 New Physics : Sae Mulli

pISSN 0374-4914 eISSN 2289-0041


Research Paper

New Phys.: Sae Mulli 2020; 70: 1067-1076

Published online December 31, 2020

Copyright © New Physics: Sae Mulli.

Growth Probability of an Additional Offspring with a Beneficial Reversal Allele in the Four-State Haploid Coupled Discrete-Time Mutation-Selection Model for a Finite Population

Wonpyong GILL*

Department of Physics, Pusan National University, Busan 46241, Korea


Received: September 9, 2020; Revised: October 21, 2020; Accepted: November 11, 2020


Growth probabilities of an additional offspring with a beneficial reversal allele were calculated by computer simulation for various population sizes, sequence lengths, selective advantages, and measuring parameters for a finite population in the four-state haploid coupled discrete-time mutation-selection (HCDMS) model. The mutation rates between all sequence elements were set to be equal. This study suggested that the boundary between the deterministic and the stochastic regions in the four-state HCDMS model could be determined by using the same criterion as that in the two-state HCDMS model. For various population sizes, sequence lengths, measuring parameters, and selective advantages, the growth probabilities in the stochastic region could be described using the theoretical formula for the growth probability in the Wright-Fisher two-allele model.

Keywords: Growth probability, Mutation-selection model, Four-state, Asymmetric sharply peaked landscape, Finite population