2007/06/30 by Kavita Jain
Biochemistry, Genetics and Molecular Biology · Medicine · Physics and Astronomy · Social Sciences · #Biology #Demography #Evolution and Genetic Dynamics #Evolutionary Game Theory and Cooperation #Evolutionary biology #Evolutionary dynamics #Fitness landscape #Genetics #Genotype #Jump #Jump process #Mathematical and Theoretical Epidemiology and Ecology Models #Physics #Population #Statistical physics #Viral quasispecies #cond-mat.stat-mech #q-bio.PE
paper · pdf · doi:10.1103/physreve.76.031922
published as Phys. Rev. E 76, 031922 (2007) · Minor changes. To appear in Phys Rev E
arxiv created 2007/08/11 · openalex publication_date 2007/09/26 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We consider an asexual population evolving on rugged fitness landscapes which are defined on the multidimensional genotypic space and have many local optima. We track the most populated genotype as it changes when the population jumps from a fitness peak to a better one during the process of adaptation. This is done using the dynamics of the shell model which is a simplified version of the quasispecies model for infinite populations and standard Wright-Fisher dynamics for large finite populations. We show that the population fraction of a genotype obtained within the quasispecies model and the shell model match for fit genotypes and at short times, but the dynamics of the two models are identical for questions related to the most populated genotype. We calculate exactly several properties of the jumps in infinite populations, some of which were obtained numerically in previous works. We also present our preliminary simulation results for finite populations. In particular, we measure the jump distribution in time and find that it decays as t(-2) as in the quasispecies problem.