### Abstract

Language | English |
---|---|

Article number | 022416 |

Pages | 1-19 |

Number of pages | 19 |

Journal | Physical Review E (PRE) |

Volume | 96 |

DOIs | |

Status | Published - 29 Aug 2017 |

### Fingerprint

### Keywords

- Ecological population dynamics
- Ecology & evolution
- Evolutionary dynamics
- Fluctuations & noise
- Noise
- Population genetics
- Statistical Physics
- Biological Physics

### Cite this

*Physical Review E (PRE)*,

*96*, 1-19. [022416]. https://doi.org/10.1103/PhysRevE.96.022416

**Mapping of the stochastic Lotka-Volterra model to models of population genetics and game theory.** / Constable, George W A; McKane, Alan J.

Research output: Contribution to journal › Article

*Physical Review E (PRE)*, vol. 96, 022416, pp. 1-19. https://doi.org/10.1103/PhysRevE.96.022416

}

TY - JOUR

T1 - Mapping of the stochastic Lotka-Volterra model to models of population genetics and game theory

AU - Constable, George W A

AU - McKane, Alan J.

PY - 2017/8/29

Y1 - 2017/8/29

N2 - The relationship between the M-species stochastic Lotka-Volterra competition (SLVC) model and the M-allele Moran model of population genetics is explored via timescale separation arguments. When selection for species is weak and the population size is large but finite, precise conditions are determined for the stochastic dynamics of the SLVC model to be mappable to the neutral Moran model, the Moran model with frequency-independent selection, and the Moran model with frequency-dependent selection (equivalently a game-theoretic formulation of the Moran model). We demonstrate how these mappings can be used to calculate extinction probabilities and the times until a species’ extinction in the SLVC model.

AB - The relationship between the M-species stochastic Lotka-Volterra competition (SLVC) model and the M-allele Moran model of population genetics is explored via timescale separation arguments. When selection for species is weak and the population size is large but finite, precise conditions are determined for the stochastic dynamics of the SLVC model to be mappable to the neutral Moran model, the Moran model with frequency-independent selection, and the Moran model with frequency-dependent selection (equivalently a game-theoretic formulation of the Moran model). We demonstrate how these mappings can be used to calculate extinction probabilities and the times until a species’ extinction in the SLVC model.

KW - Ecological population dynamics

KW - Ecology & evolution

KW - Evolutionary dynamics

KW - Fluctuations & noise

KW - Noise

KW - Population genetics

KW - Statistical Physics

KW - Biological Physics

U2 - 10.1103/PhysRevE.96.022416

DO - 10.1103/PhysRevE.96.022416

M3 - Article

VL - 96

SP - 1

EP - 19

JO - Physical Review E (PRE)

T2 - Physical Review E (PRE)

JF - Physical Review E (PRE)

M1 - 022416

ER -