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Diversity and Evenness: A Unifying Notation and Its Consequences

M. O. Hill
Ecology
Vol. 54, No. 2 (Mar., 1973), pp. 427-432
Published by: Wiley
DOI: 10.2307/1934352
Stable URL: http://www.jstor.org/stable/1934352
Page Count: 6
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Diversity and Evenness: A Unifying Notation and Its Consequences
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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.