Diversity and Evenness: A Unifying Notation and Its Consequences

1973 Ecology 6,045 citations

Abstract

Three commonly used measures of diversity, Simpson's index, Shannon's entropy, and the total number of species, are related to Renyi's definition of a generalized entropy. A unified concept of diversity is presented, according to which there is a continuum of possible diversity measures. In a sense which becomes apparent, these measures provide estimates of the effective number of species present, and differ only in their tendency to include or to ignore the relatively rarer species. The notion of the diversity of a community as opposed to that of a sample is examined, and is related to the asymptotic form of the species—abundance curve. A new and plausible definition of evenness is derived.

Keywords

Species evennessDiversity indexEcologyGamma diversitySpecies diversityDiversity (politics)MathematicsRelative abundance distributionEntropy (arrow of time)Global biodiversityAlpha diversityAbundance (ecology)StatisticsBiologyRelative species abundanceSpecies richnessBiodiversitySociologyPhysicsAnthropology

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Publication Info

Year
1973
Type
article
Volume
54
Issue
2
Pages
427-432
Citations
6045
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Closed

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M. O. Hill (1973). Diversity and Evenness: A Unifying Notation and Its Consequences. Ecology , 54 (2) , 427-432. https://doi.org/10.2307/1934352

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DOI
10.2307/1934352