Mean-field stochastic theory for species-rich assembled communities

Alan McKane; David Alonso; Ricard V. Solé

doi:10.1103/PhysRevE.62.8466

Mean-field stochastic theory for species-rich assembled communities

Alan McKane, David Alonso, Ricard V. Solé

Research output: Contribution to journal › Article › peer-review

Abstract

Mean-field approximation theories were used to develop a dynamical model of an ecological community. The system assumes that one of the species interacts with every combination of all the other species in the community. The result was described as a single master equation. In case of low migration, the results reduced to a log-series distribution when compared to a log-normal distribution in moderate to high migration. The model was found to agree with the numerical simulations.

Original language	English
Pages (from-to)	8466-8484
Number of pages	18
Journal	Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume	62
Issue number	6 B
DOIs	https://doi.org/10.1103/PhysRevE.62.8466
Publication status	Published - Dec 2000

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10.1103/PhysRevE.62.8466

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title = "Mean-field stochastic theory for species-rich assembled communities",

abstract = "Mean-field approximation theories were used to develop a dynamical model of an ecological community. The system assumes that one of the species interacts with every combination of all the other species in the community. The result was described as a single master equation. In case of low migration, the results reduced to a log-series distribution when compared to a log-normal distribution in moderate to high migration. The model was found to agree with the numerical simulations.",

author = "Alan McKane and David Alonso and Sol{\'e}, {Ricard V.}",

year = "2000",

month = dec,

doi = "10.1103/PhysRevE.62.8466",

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AU - McKane, Alan

AU - Alonso, David

AU - Solé, Ricard V.

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N2 - Mean-field approximation theories were used to develop a dynamical model of an ecological community. The system assumes that one of the species interacts with every combination of all the other species in the community. The result was described as a single master equation. In case of low migration, the results reduced to a log-series distribution when compared to a log-normal distribution in moderate to high migration. The model was found to agree with the numerical simulations.

AB - Mean-field approximation theories were used to develop a dynamical model of an ecological community. The system assumes that one of the species interacts with every combination of all the other species in the community. The result was described as a single master equation. In case of low migration, the results reduced to a log-series distribution when compared to a log-normal distribution in moderate to high migration. The model was found to agree with the numerical simulations.

U2 - 10.1103/PhysRevE.62.8466

DO - 10.1103/PhysRevE.62.8466

M3 - Article

VL - 62

SP - 8466

EP - 8484

JO - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

JF - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

IS - 6 B

ER -

Mean-field stochastic theory for species-rich assembled communities

Abstract

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