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A new parametric measure of functional dissimilarity: Bridging the gap between the Bray-Curtis dissimilarity and the Euclidean distance

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  • Ricotta, Carlo
  • Pavoine, Sandrine

Abstract

Community ecologists usually consider the Euclidean distance inappropriate to explore the multivariate structure of species abundance data. This is because the Euclidean distance may lead to the counterintuitive result for which two sample plots with no species in common may be more similar to each other than two plots that share the same species list. To overcome this paradoxical situation, the species abundances need to be normalized in some way. Among the many coefficients used by ecologists for the analysis of assemblage data, the Bray-Curtis dissimilarity is certainly the most commonly used. This measure entails normalization of species-wise differences between two plots by the total species abundance in both plots. By highlighting the relationship between the Bray-Curtis dissimilarity and the Euclidean distance, we propose a parametric dissimilarity measure that is appropriate for handling data on community composition. We also show how the new parametric measure can be generalized to the measurement of functional dissimilarity between two plots. A small dataset on the species functional turnover along a chronosequence on Alpine grasslands is used to illustrate the behavior of the proposed measure.

Suggested Citation

  • Ricotta, Carlo & Pavoine, Sandrine, 2022. "A new parametric measure of functional dissimilarity: Bridging the gap between the Bray-Curtis dissimilarity and the Euclidean distance," Ecological Modelling, Elsevier, vol. 466(C).
    • Handle: RePEc:eee:ecomod:v:466:y:2022:i:c:s0304380022000084
    DOI: 10.1016/j.ecolmodel.2022.109880
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    1. Sandra Díaz & Jens Kattge & Johannes H. C. Cornelissen & Ian J. Wright & Sandra Lavorel & Stéphane Dray & Björn Reu & Michael Kleyer & Christian Wirth & I. Colin Prentice & Eric Garnier & Gerhard Böni, 2016. "The global spectrum of plant form and function," Nature, Nature, vol. 529(7585), pages 167-171, January.
    2. 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.
    3. 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.
    4. Yuan Yuan & Stephen T. Buckland & Phil J. Harrison & Sergey Foss & Alison Johnston, 2016. "Using Species Proportions to Quantify Turnover in Biodiversity," Journal of Agricultural, Biological and Environmental Statistics, Springer;The International Biometric Society;American Statistical Association, vol. 21(2), pages 363-381, June.
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