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Diversity and Evenness: A Unifying Notation and Its Consequences

Diversity and Evenness: A Unifying Notation and Its Consequences 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Ecology Wiley

Diversity and Evenness: A Unifying Notation and Its Consequences

Ecology , Volume 54 (2) – Mar 1, 1973

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References (1)

Publisher
Wiley
Copyright
© Society for Community Research and Action
ISSN
0012-9658
eISSN
1939-9170
DOI
10.2307/1934352
Publisher site
See Article on Publisher Site

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.

Journal

EcologyWiley

Published: Mar 1, 1973

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