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http://hdl.handle.net/1942/5431
Title: | The relationship between diversity profiles, evenness and species richness based on partial ordering | Authors: | ROUSSEAU, Ronald van Hecke, Piet Nijssen, David Bogaert, Jan |
Issue Date: | 1999 | Publisher: | KLUWER ACADEMIC PUBL | Source: | Environmental and ecological statistics, 6. p. 211-223 | 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). | Keywords: | Gini coefficient; coefficient of variation; partially ordered sets; adapted Gini coefficient; intrinsic diversity profiles; k-dominance curves | Document URI: | http://hdl.handle.net/1942/5431 | DOI: | 10.1023/A:1009626406418 | ISI #: | 000081255900010 | Type: | Journal Contribution |
Appears in Collections: | Research publications |
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