Abstract
It is shown from the statistical-mechanical overview of Volterra's ecological model how to reckon the fluctuations of collective variables such as the total population of a genus: and that these fluctuations are much decreased (or that the collective populationsteadiness is enhanced) as the speciation is increased. (A niching of species in time, or phase-niching, is entailed here.) Secondly, it is shown how Preston's log-normal distribution describing the species-abundance relationship, as well as a generalization of such distributions, come forth simply and naturally from the statistical-Volterra-dynamics.
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Kerner, E.H. Why are there so many species?. Bltn Mathcal Biology 36, 477–488 (1974). https://doi.org/10.1007/BF02463261
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DOI: https://doi.org/10.1007/BF02463261