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Diversity partitioning of Rao’s quadratic entropy

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  • Ricotta, Carlo
  • Szeidl, Laszlo

Abstract

Many applications of diversity indices are only valid if they are first transformed into their equivalent number of species. These equivalent numbers of species can be multiplicatively partitioned into independent alpha, beta and gamma components, and can be formed into mathematically consistent similarity measures. The utility of beta diversity and similarity measures that incorporate information about the degree of ecological dissimilarity between species is becoming increasingly recognized. The concept of equivalent number of species is here extended to Rao’s quadratic entropy, opening the way to methods of diversity partitioning that take into account taxonomic or ecological differences between species.

Suggested Citation

  • Ricotta, Carlo & Szeidl, Laszlo, 2009. "Diversity partitioning of Rao’s quadratic entropy," Theoretical Population Biology, Elsevier, vol. 76(4), pages 299-302.
    • Handle: RePEc:eee:thpobi:v:76:y:2009:i:4:p:299-302
    DOI: 10.1016/j.tpb.2009.10.001
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    References listed on IDEAS

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    1. Solow Andrew & Polasky Stephen & Broadus James, 1993. "On the Measurement of Biological Diversity," Journal of Environmental Economics and Management, Elsevier, vol. 24(1), pages 60-68, January.
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    3. Steven Polasky & Andrew R. Solow, 1993. "Option Value, Gallot's Inequality, And The Measurement Of Biological Diversity," Boston College Working Papers in Economics 241, Boston College Department of Economics.
    4. Gregorius, Hans-Rolf & Gillet, Elizabeth M., 2008. "Generalized Simpson-diversity," Ecological Modelling, Elsevier, vol. 211(1), pages 90-96.
    5. J. Gower & P. Legendre, 1986. "Metric and Euclidean properties of dissimilarity coefficients," Journal of Classification, Springer;The Classification Society, vol. 3(1), pages 5-48, March.
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    Cited by:

    1. Chun-Huo Chiu & Anne Chao, 2014. "Distance-Based Functional Diversity Measures and Their Decomposition: A Framework Based on Hill Numbers," PLOS ONE, Public Library of Science, vol. 9(7), pages 1-17, July.
    2. Ricotta, Carlo & Szeidl, Laszlo & Moretti, Marco & Blasi, Carlo, 2011. "A partial ordering approach for functional diversity," Theoretical Population Biology, Elsevier, vol. 80(2), pages 114-120.

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