Non-neutral theory of biodiversity

Abstract

We present a non-neutral stochastic model for the dynamics taking place in a meta-community ecosystems in presence of migration. The model provides a framework for describing the emergence of multiple ecological scenarios and behaves in two extreme limits either as the unified neutral theory of biodiversity or as the Bak-Sneppen model. Interestingly, the model shows a condensation phase transition where one species becomes the dominant one, the diversity in the ecosystems is strongly reduced and the ecosystem is non-stationary. This phase transition extend the principle of competitive exclusion to open ecosystems and might be relevant for the study of the impact of invasive species in native ecologies.

4 pages, 3 figure

References in corpus (4)

• Neutral Theory and Relative Species Abundance in Ecology
• Species lifetime distribution for simple models of ecologies
• Quantum statistics in complex networks
• Organization of Ecosystems in the Vicinity of a Novel Phase Transition

Cited by in corpus (9)

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• Central limit theorems for an Indian buffet model with random weights
• Condensation and topological phase transitions in a dynamical network model with rewiring of the links
• A unified framework for quasi-species evolution and stochastic quantization
• Bose-Einstein distribution, condensation transition and multiple stationary states in multiloci evolution of diploid population
• Kingman's model with random mutation probabilities: convergence and condensation II
• A population model with non-neutral mutations using branching processes with immigration
• Kingman's House-of-Cards model: random mutation probabilities and random matrices
• Emergence of condensation in Kingman's model of selection and mutation