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Cited by 495Statistical Mechanics and EntropyEcology and Vegetation Dynamics StudiesComplex Systems and Time Series Analysis

The DOI matches its Crossref record; 36 of the 36 references it cites were found in a registry or an index.

Simpson diversity and the Shannon–Wiener index as special cases of a generalized entropy

Keylock, C. J.·2005·Oikos
DOI 10.1111/j.0030-1299.2005.13735.x
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Abstract

Many indices for measuring species diversity have been proposed. In this article, a link is noted between a common family of diversity indices and non‐additive statistical mechanics. This makes the Shannon index and the Simpson diversity (or Gini coefficient) special cases of a more general index. The general index includes a parameter q that can be interpreted from a statistical mechanics perspective for systems with an underlying (multi)fractal structure. A q ‐ generalised version of the Zipf–Mandelbrot distribution sometimes used to characterise rank–abundance relationships may be obtained by maximising this entropy.

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Crossref · 10.1111/j.0030-1299.2005.13735.x

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Citations

Cites

Research works printed but not linked: 2

  1. Frontier S., 1985, Diversity and structure in aquatic ecosystems, Mar. Biol. Annu. Rev., 23, 253
  2. Solé R. V., 1994, Fractals in the natural and applied sciences, 397

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Metadata

Authors
Keylock, C. J.
Affiliations
University of Leeds (GB)
Corresponding author
Keylock, C. J.
ORCID
Keylock, C. J.
Venue
Oikos
Publisher
Wiley
Published
2005-02-22
Volume
109
Issue
1
Pages
203-207
ISSN
  • 0030-1299 (ISSN-L)
  • 1600-0706
DOI
10.1111/j.0030-1299.2005.13735.x
OpenAlex
W2090933635
Cited by
495
References
36
Citations by year
2026: 27 · 2025: 47 · 2024: 43 · 2023: 35 · 2022: 44 · 2021: 34 · 2020: 32 · 2019: 35 · 2018: 37 · 2017: 21 · 2016: 20 · 2015: 27 · 2014: 16 · 2013: 15 · 2012: 12
FWCI
6.12
Type
journal article
Language
en
Open access
closed
Licence
onlinelibrary.wiley.com/termsAndConditions#vor (vor)
Locations
Oikos (publishedVersion)
Funders
Japan Society for the Promotion of Science
Topics
  • Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Statistical Mechanics and Entropy
  • Physical Sciences › Environmental Science › Nature and Landscape Conservation › Ecology and Vegetation Dynamics Studies
  • Social Sciences › Economics, Econometrics and Finance › Economics and Econometrics › Complex Systems and Time Series Analysis
Keywords
species diversity index, Simpson index, Shannon diversity index, generalized entropy, q-statistics, Zipf-Mandelbrot distribution, Gini coefficient

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