On the Shannon-Weaver index of diversity, in relation to the distribution of species in bird censuses |
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| Authors: | M S Longuet-Higgins |
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| Affiliation: | 1. Department of Applied Mathematics and Theoretical Physics, Cambridge University Silver Street, Cambridge, England;2. National Institute of Oceanography, Wormley, Godalming, England |
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| Abstract: | The “diversity” of a statistical sample is studied in relation to some simple ideal distributions of species within the sample. A correlation found by Tramer (1969) between the diversity of bird censuses and the number S of species is shown to agree (a) fairly well with the distribution of species described by a Dirichlet series, and (b) remarkably well with MacArthur's “broken-stick” distribution. |
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