Analytical solution of a neutral model of biodiversity

Phys. Rev. E 68, 061902 – Published 11 December 2003
M. Vallade and B. Houchmandzadeh


The unified neutral model of biodiversity proposed by S. Hubbell is solved analytically: The distributions of species abundance in the metacommunity and in a local community are calculated exactly as a function of speciation and migration rates and of the size of the community. In the limit of large population sizes the densities of species of given relative abundance are found to be given by universal functions depending only on two parameters.


  • Received 13 February 2003
  • Revised 4 September 2003
  • Published 11 December 2003

© 2003 The American Physical Society

Authors & Affiliations

M. Vallade and B. Houchmandzadeh

  • Laboratoire de Spectrométrie Physique (CNRS), UMR 5588, Université Joseph Fourier, BP 87, 38402 Saint Martin d’Héres Cedex, France

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