dorsal/arxiv
View SchemaDeterministic and stochastic regimes of asexual evolution on rugged fitness landscapes
| Authors | Kavita Jain, Joachim Krug |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0606025 |
| URL | https://arxiv.org/abs/q-bio/0606025 |
| Journal | Genetics 175, 1275 (2007) |
Abstract
We study the adaptation dynamics of an initially maladapted asexual population with genotypes represented by binary sequences of length $L$. The population evolves in a maximally rugged fitness landscape with a large number of local optima. We find that whether the evolutionary trajectory is deterministic or stochastic depends on the effective mutational distance $d_{\mathrm{eff}}$ upto which the population can spread in genotype space. For $d_{\mathrm{eff}}=L$, the deterministic quasispecies theory operates while for $d_{\mathrm{eff}} < 1$, the evolution is completely stochastic. Between these two limiting cases, the dynamics are described by a local quasispecies theory below a crossover time $T_{\times}$ while above $T_{\times}$, the population gets trapped at a local fitness peak and manages to find a better peak either via stochastic tunneling or double mutations. In the stochastic regime $d_\mathrm{eff} < 1$, we identify two subregimes associated with clonal interference and uphill adaptive walks, respectively. We argue that our findings are relevant to the interepretation of evolution experiments with microbial populations.
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"abstract": "We study the adaptation dynamics of an initially maladapted asexual\npopulation with genotypes represented by binary sequences of length $L$. The\npopulation evolves in a maximally rugged fitness landscape with a large number\nof local optima. We find that whether the evolutionary trajectory is\ndeterministic or stochastic depends on the effective mutational distance\n$d_{\\mathrm{eff}}$ upto which the population can spread in genotype space. For\n$d_{\\mathrm{eff}}=L$, the deterministic quasispecies theory operates while for\n$d_{\\mathrm{eff}} \u003c 1$, the evolution is completely stochastic. Between these\ntwo limiting cases, the dynamics are described by a local quasispecies theory\nbelow a crossover time $T_{\\times}$ while above $T_{\\times}$, the population\ngets trapped at a local fitness peak and manages to find a better peak either\nvia stochastic tunneling or double mutations. In the stochastic regime\n$d_\\mathrm{eff} \u003c 1$, we identify two subregimes associated with clonal\ninterference and uphill adaptive walks, respectively. We argue that our\nfindings are relevant to the interepretation of evolution experiments with\nmicrobial populations.",
"arxiv_id": "q-bio/0606025",
"authors": [
"Kavita Jain",
"Joachim Krug"
],
"categories": [
"q-bio.PE",
"cond-mat.stat-mech"
],
"journal_ref": "Genetics 175, 1275 (2007)",
"title": "Deterministic and stochastic regimes of asexual evolution on rugged fitness landscapes",
"url": "https://arxiv.org/abs/q-bio/0606025"
},
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