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A partial ordering approach for functional diversity

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Listed:
  • Ricotta, Carlo
  • Szeidl, Laszlo
  • Moretti, Marco
  • Blasi, Carlo

Abstract

Functional diversity is generally regarded as the constituent of biological diversity that considers how the species functional traits affect ecosystem processes. Due to its ecological relevance, a number of indices of functional diversity have been proposed to date based on distinct objectives and motivations. Such proliferation of indices can be at least partially overcome by a more fundamental mathematical approach. In this paper we propose an intrinsic ordering approach for abundance-weighted measures of functional diversity that is similar to the Lorenz curves used by ecologists for ordering evenness measures. We then discuss the relevance of a number of functional diversity indices that have a behavior compatible with the proposed partial ordering.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:thpobi:v:80:y:2011:i:2:p:114-120
    DOI: 10.1016/j.tpb.2011.03.007
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    References listed on IDEAS

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    1. Pavoine, Sandrine & Bonsall, Michael B., 2009. "Biological diversity: Distinct distributions can lead to the maximization of Rao’s quadratic entropy," Theoretical Population Biology, Elsevier, vol. 75(2), pages 153-163.
    2. Ricotta, Carlo & Szeidl, Laszlo, 2009. "Diversity partitioning of Rao’s quadratic entropy," Theoretical Population Biology, Elsevier, vol. 76(4), pages 299-302.
    3. 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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