dorsal/arxiv
View SchemaA Stochastic Model for the Species Abundance Problem in an Ecological Community
| Authors | Simone Pigolotti, Alessandro Flammini, Amos Maritan |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0403009 |
| URL | https://arxiv.org/abs/q-bio/0403009 |
| DOI | 10.1103/PhysRevE.70.011916 |
| Journal | Phys. Rev. E. 70(1), 011916 2004 |
Abstract
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.
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"abstract": "We propose a model based on coupled multiplicative stochastic processes to\nunderstand the dynamics of competing species in an ecosystem. This process can\nbe conveniently described by a Fokker-Planck equation. We provide an analytical\nexpression for the marginalized stationary distribution. Our solution is found\nin excellent agreement with numerical simulations and compares rather well with\nobservational data from tropical forests.",
"arxiv_id": "q-bio/0403009",
"authors": [
"Simone Pigolotti",
"Alessandro Flammini",
"Amos Maritan"
],
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"q-bio.PE",
"cond-mat.stat-mech"
],
"doi": "10.1103/PhysRevE.70.011916",
"journal_ref": "Phys. Rev. E. 70(1), 011916 2004",
"title": "A Stochastic Model for the Species Abundance Problem in an Ecological Community",
"url": "https://arxiv.org/abs/q-bio/0403009"
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