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Diversity 2010, 2(2), 207-232; doi:10.3390/d2020207

The Relation between Evenness and Diversity

Via a Runtun, Baños, Tungurahua, Ecuador
Received: 31 December 2009 / Accepted: 9 February 2010 / Published: 11 February 2010
(This article belongs to the Special Issue Diversity Theories and Perspectives)
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Abstract

Contrary to common belief, decomposition of diversity into independent richness and evenness components is mathematically impossible. However, richness can be decomposed into independent diversity and evenness or inequality components. The evenness or inequality component derived in this way is connected to most of the common measures of evenness and inequality in ecology and economics. This perspective justifies the derivation of measures of relative evenness, which give the amount of evenness relative to the maximum and minimum possible for a given richness. Pielou’s [1] evenness measure J is shown to be such a measure.
Keywords: evenness; inequality; diversity; generalized entropy inequality index; Pielou’s evenness index; numbers equivalent; Hill numbers evenness; inequality; diversity; generalized entropy inequality index; Pielou’s evenness index; numbers equivalent; Hill numbers
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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MDPI and ACS Style

Jost, L. The Relation between Evenness and Diversity. Diversity 2010, 2, 207-232.

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