Stochastic model for the species abundance problem in an ecological community

We propose a model based on coupled multiplicative stochastic processes to understand the dynamics of competing species in an ecosystem. This process can be conveniently described by a Fokker-Planck equation. We provide an analytical expression for the marginalized stationary distribution. Our solut...

Full description

Saved in:
Bibliographic Details
Published in:Physical review. E, Statistical, nonlinear, and soft matter physics Statistical, nonlinear, and soft matter physics, 2004-07, Vol.70 (1 Pt 1), p.011916-011916, Article 011916
Main Authors: Pigolotti, Simone, Flammini, Alessandro, Maritan, Amos
Format: Article
Language:English
Subjects:
Animals
Competitive Behavior
Computer Simulation
Ecosystem
Humans
Models, Biological
Models, Statistical
Population Dynamics
Population Growth
Species Specificity
Stochastic Processes
Survival Rate
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We propose a model based on coupled multiplicative stochastic processes to understand the dynamics of competing species in an ecosystem. This process can be conveniently described by a Fokker-Planck equation. We provide an analytical expression for the marginalized stationary distribution. Our solution is found in excellent agreement with numerical simulations and compares rather well with observational data from tropical forests.
ISSN:1539-3755
1550-2376
DOI:10.1103/PhysRevE.70.011916