The relationship between diversity profiles,evenness and species richness based on partial ordering |
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Authors: | Rousseau Ronald Van Hecke Piet NIjssen David Bogaert Jan |
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Affiliation: | (1) Informatie- en Bibliotheekwetenschap, UIA, Universiteitsplein 1, B-2610 Wilrijk, Belgium; and;(2) Department of Industrial Sciences and Technology, KHBO, Zeedijk 101, B-8400 Oostende, Belgium;(3) Department of Biology, Laboratory of Plant Ecology, UIA, Universiteitsplein 1, B-2610 Wilrijk, Belgium;(4) Wildbroekstraat 14, B–3700 Tongeren, Belgium |
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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). |
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Keywords: | Gini coefficient coefficient of variation partially ordered sets adapted Gini coefficient intrinsic diversity profiles k-dominance curves. |
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