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Environmental and Ecological Statistics

, Volume 6, Issue 2, pp 211–223 | Cite as

The relationship between diversity profiles, evenness and species richness based on partial ordering

  • Ronald Rousseau
  • Piet Van HeckeEmail author
  • David NIjssen
  • Jan Bogaert
Article

Abstract

Problems with the notion of evenness, such as ambiguity, proliferation of indices, choice of indices, etc. can be overcome by a more fundamental, mathematical approach. We show that the Lorenz curve is an adequate representation of evenness. The corresponding Lorenz order induces a partial order in the set of equivalent abundance vectors. Also diversity can adequately be studied through a partial order and represented by a curve derived from the classical Lorenz curve. This curve is known as the intrinsic diversity profile (or k-dominance curve) and was introduced by Patil and Taillie (1979) and Lambshead et al. (1981).

Gini coefficient coefficient of variation partially ordered sets adapted Gini coefficient intrinsic diversity profiles k-dominance curves. 

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Copyright information

© Kluwer Academic Publishers 1999

Authors and Affiliations

  • Ronald Rousseau
    • 1
    • 2
  • Piet Van Hecke
    • 3
    Email author
  • David NIjssen
    • 4
  • Jan Bogaert
    • 3
  1. 1.Informatie- en Bibliotheekwetenschap, UIAWilrijkBelgium; and
  2. 2.Department of Industrial Sciences and TechnologyKHBOOostendeBelgium
  3. 3.Department of Biology, Laboratory of Plant EcologyUIAWilrijkBelgium
  4. 4.TongerenBelgium

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