Researches on Population Ecology

, Volume 22, Issue 1, pp 51–68 | Cite as

A model of the species rank-abundance relation for a community in an open habitat

  • Shiro Kobayashi
Article

Summary

A mathematical model is proposed to describe the relationship between the abundance and the rank of species in order from the most abundant to the least in a community in an open habitat. This model is derived as a corollary of a species-area equation (Kobayashi, 1975) which could be expected in the case where the individuals of each species are uniformly distributed over a habitat area. Numerical simulation reveals that a rank-abundance curve for a universe results in different species-area or species-individual curves according to the spatial distribution of individuals, and that the relative abundance of each species in a sample varies with sample size unless the spatial distribution of individuals is uniform. A species-individual curve obtained bySanders’s (1968) rarefaction method agrees with that observed actually only for the spatially uniform distribution. Change in the pattern of rank-abundance curve with species diversity and with sample size is discussed in relation to the present model.

Keywords

Break Line Open Habitat Diatom Community Thin Solid Line Geometrical Progression 

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Copyright information

© The Society of Population Ecology 1980

Authors and Affiliations

  • Shiro Kobayashi
    • 1
  1. 1.Faculty of AgricultureYamagata UniversityTsuruokaJapan

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