Scaling in a network model of a multispecies ecosystem

Ricard V. Solé, David Alonso and Alan McKane

Physica A: Statistical Mechanics and its Applications, 2000, vol. 286, issue 1, 337-344

Abstract: A new model ecosystem of many interacting species is introduced in which the species are connected through a random matrix with a given connectivity. The model is studied both analytically and by numerical simulations. A probability distribution derived from the model is in good agreement with simulations and field data. It is also shown that the connectivity, C, and the number of species, S, are linked through the scaling relation 〈S〉=k(C)−1+ε, which is observed in real ecosystems. Our approach suggests a natural link between log-normal and power-law distributions of species abundances.

Keywords: Ecosystem; Stochastic dynamics; Random networks; Multispecies communities; Master equation (search for similar items in EconPapers)
Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:286:y:2000:i:1:p:337-344

DOI: 10.1016/S0378-4371(00)00304-6

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