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.
CitationPigolotti, S., Flammini, A., Maritan, A. Stochastic model for the species abundance problem. "Physical review E: statistical, nonlinear, and soft matter physics", 30 Maig 2004, vol. 70, p. 011916-1-011916-5.
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