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A Spatially Extended Neutral Model with Resources

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Abstract Book of the XXIII IUPAP International Conference on Statistical Physics, Genova, Italy, (9-13 July 2007)

Abstract

The ecological patterns observed in nature have traditionally been explained by postulating niches into which the differential endowment of individuals permits each species to evolve. In contrast, 'neutral theory' assumes the equivalence of individuals belonging to trophycally similar species and explains species composition simply by the drift due to the stochasticity in birth, death and dispersal. Neutral theory has provided an explanation of many of the observed ecological patterns without the need of further mechanisms, such as suitability to their environment. However, it has been shown recently that it fails to explain some important facts, for example some of the spatial features of ecological systems such as beta-diversity, i. e. the change in species composition from place to place. In this talk I will explore the possibility that an extension to the neutral theory, based on a reaction-diffusion model introduced by Solomon et al., can explain some cases where there is a discrepancy between the predictions of neutral theory and the observed data. The explanation hinges on the presence of positive sources, e.g. water or food, that move through space.

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