dorsal/arxiv
View SchemaComplex population dynamics as a competition between multiple time-scale phenomena
| Authors | Ioana Bena, Michel Droz, Janusz Szwabinski, Andrzej Pekalski |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0703033 |
| URL | https://arxiv.org/abs/q-bio/0703033 |
| DOI | 10.1103/PhysRevE.76.011908 |
| Journal | Physical Review E 76, 011908 (2007). |
Abstract
The role of the selection pressure and mutation amplitude on the behavior of a single-species population evolving on a two-dimensional lattice, in a periodically changing environment, is studied both analytically and numerically. The mean-field level of description allows to highlight the delicate interplay between the different time-scale processes in the resulting complex dynamics of the system. We clarify the influence of the amplitude and period of the environmental changes on the critical value of the selection pressure corresponding to a phase-transition "extinct-alive" of the population. However, the intrinsic stochasticity and the dynamically-built in correlations among the individuals, as well as the role of the mutation-induced variety in population's evolution are not appropriately accounted for. A more refined level of description, which is an individual-based one, has to be considered. The inherent fluctuations do not destroy the phase transition "extinct-alive", and the mutation amplitude is strongly influencing the value of the critical selection pressure. The phase diagram in the plane of the population's parameters -- selection and mutation is discussed as a function of the environmental variation characteristics. The differences between a smooth variation of the environment and an abrupt, catastrophic change are also addressesd.
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"abstract": "The role of the selection pressure and mutation amplitude on the behavior of\na single-species population evolving on a two-dimensional lattice, in a\nperiodically changing environment, is studied both analytically and\nnumerically. The mean-field level of description allows to highlight the\ndelicate interplay between the different time-scale processes in the resulting\ncomplex dynamics of the system. We clarify the influence of the amplitude and\nperiod of the environmental changes on the critical value of the selection\npressure corresponding to a phase-transition \"extinct-alive\" of the population.\nHowever, the intrinsic stochasticity and the dynamically-built in correlations\namong the individuals, as well as the role of the mutation-induced variety in\npopulation\u0027s evolution are not appropriately accounted for. A more refined\nlevel of description, which is an individual-based one, has to be considered.\nThe inherent fluctuations do not destroy the phase transition \"extinct-alive\",\nand the mutation amplitude is strongly influencing the value of the critical\nselection pressure. The phase diagram in the plane of the population\u0027s\nparameters -- selection and mutation is discussed as a function of the\nenvironmental variation characteristics. The differences between a smooth\nvariation of the environment and an abrupt, catastrophic change are also\naddressesd.",
"arxiv_id": "q-bio/0703033",
"authors": [
"Ioana Bena",
"Michel Droz",
"Janusz Szwabinski",
"Andrzej Pekalski"
],
"categories": [
"q-bio.PE",
"cond-mat.other",
"cond-mat.stat-mech",
"physics.bio-ph"
],
"doi": "10.1103/PhysRevE.76.011908",
"journal_ref": "Physical Review E 76, 011908 (2007).",
"title": "Complex population dynamics as a competition between multiple time-scale phenomena",
"url": "https://arxiv.org/abs/q-bio/0703033"
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