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An Information-Theoretical Measure of Taxonomic Diversity

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Abstract

Traditional diversity indices are computed from the abundances of species present and are insensitive to taxonomic differences between species. However, a community in which most species belong to the same genus is intuitively less diverse than another community with a similar number of species distributed more evenly between genera. In this paper, we propose an information-theoretical measure of taxonomic diversity that reflects both the abundances and taxonomic distinctness of the species. Unlike previous measures of taxonomic diversity, such as Rao's quadratic entropy, in this new measure the analyzed taxonomic properties are associated with the single species instead of species pairs.

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REFERENCES

  • Crozier, R.H. (1992). Genetic diversity and the agony of choice. Biological Conservation 61: 11-15.

    Google Scholar 

  • Faith, D.P. (1992). Conservation evaluation and phylogenic diversity. Biological Conservation 61: 1-10.

    Google Scholar 

  • Feldman, D.P. and J.P. Crutchfield (1998). Measures of statistical complexity: Why? Physics Letters A 238: 244-252.

    Google Scholar 

  • He, X.S. and L. Orlóci (1993). Comparative diversity analysis of vegetation. Abstracta Botanica 17: 79-86.

    Google Scholar 

  • Izsák, J. and L. Papp (1995). Application of the quadratic entropy index for diversity studies on drosophilid species assemblages. Environmental and Ecological Statistics 2: 213-224.

    Google Scholar 

  • Kerridge, D.F. (1961). Inaccuracy and inference. Journal of the Royal Statistical Society B 23: 184-194.

    Google Scholar 

  • Kullback, S. (1959). Information Theory and Statistics. Wiley, New York.

    Google Scholar 

  • Maasoumi, E. (1986). The measurement and decomposition of multi-dimensional inequality. Econometrica 54: 991-997.

    Google Scholar 

  • Mainwaring, L. (2001). Biodiversity, Biocomplexity and the economics of genetic dissimilarity. Land Economics 77: 79-93

    Google Scholar 

  • Mosler, K. (2001). Multidimensional indices and orders of diversity. Community Ecology 2: 137-144.

    Google Scholar 

  • Patil, G.P. and C. Taillie (1982). Diversity as a concept and its measurement. Journal of the American Statistical Association 77: 548-567.

    Google Scholar 

  • Pielou, E.C. (1975). Ecological Diversity. Wiley, New York.

    Google Scholar 

  • Rao, C.R. (1982). Diversity and dissimilarity coefficients: a unified approach. Theoretical Population Biology 21: 24-43.

    Google Scholar 

  • Rényi, A. (1970). Probability Theory. North Holland Publishing Company, Amsterdam.

    Google Scholar 

  • Ricotta, C. (2002). Measuring taxonomic diversity with parametric information functions. Community Ecology 3: 95-99.

    Google Scholar 

  • Ricotta, C. and G.C. Avena (2002). On the information-theoretical meaning of Hill's parametric evenness. Acta Biotheoretica 50: 63-71.

    Google Scholar 

  • Rogers, S., K.R. Clarke and J.D. Reynolds (1999). The taxonomic distinctness of coastal bottom-dwelling fish communities of the North-east Atlantic. Journal of Animal Ecology 68: 769-782.

    Google Scholar 

  • Shannon, C. (1948). A mathematical theory of communication. Bell Systems Technical Journal 27: 379-423.

    Google Scholar 

  • Shimatani, K. (2001). On the measurement of species diversity incorporating species differences. Oikos 93: 135-147.

    Google Scholar 

  • Simpson, E.H. (1949). Measurement of diversity. Nature 163: 688.

    Google Scholar 

  • Solow, A.R. and S. Polasky (1994). Measuring biological diversity. Environmental and Ecological Statistics 1: 95-107.

    Google Scholar 

  • Solow, A., S. Polasky and J. Brodaus (1993). On the measurement of biological diversity. Journal of Environmental Economics and Management 24: 60-68.

    Google Scholar 

  • Ulanowicz, R.E. and L.G. Abarca-Arenas (1997). An informational synthesis of ecosystem structure and function. Ecological Modelling 95: 1-10.

    Google Scholar 

  • Vane-Wright R.I., C.J. Humphries and P.M. Williams (1991). What to protect: systematics and the agony of choice. Biological Conservation 55: 235-254.

    Google Scholar 

  • Warwick, R.M. and K.R. Clarke (1995). New 'biodiversity' measures reveal a decrease in taxonomic distinctness with increasing stress. Marine Ecology Progress Series 129: 301-305.

    Google Scholar 

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Ricotta, C., Avena, G. An Information-Theoretical Measure of Taxonomic Diversity. Acta Biotheor 51, 35–41 (2003). https://doi.org/10.1023/A:1023000322071

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