Advertisement

Community Ecology

, Volume 6, Issue 2, pp 241–244 | Cite as

On parametric diversity indices in ecology: A historical note

  • C. RicottaEmail author
Forum

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Aczél, J. and Daróczy, Z. 1975. On Measures of Information and their Characterizations. Academic Press, London.Google Scholar
  2. Baczkowski, A., Joanes D.N. and Shamia, G. 2000. The distribution of a generalized diversity index due to Good. Environ. Ecol. Stat. 7: 329–342.CrossRefGoogle Scholar
  3. Colwell, R.K. 1979. Toward an unified approach to the study of species diversity. In: Grassle, J.F., Patil, G.P., Smith, W. and Taillie, C. (eds.), Ecological Diversity in Theory and Practice. International Cooperative Publishing House, Fairland, Maryland. pp. 75–91.Google Scholar
  4. Grassle J.F., Patil, G.P., Smith, W. and Taillie, C. (ed.). 1979. Ecological Diversity in Theory and Practice. International Cooperative Publishing House, Fairland, Maryland.Google Scholar
  5. Hill, M.O. 1973. Diversity and evenness: a unifying notation and its consequences. Ecology 54: 427–431.CrossRefGoogle Scholar
  6. Hurlbert, S.H. 1971. The nonconcept of species diversity: a critique and alternative parameters. Ecology 52: 577–586.CrossRefGoogle Scholar
  7. Keylock, C.J. 2005. Simpson diversity and the Shannon-Wiener index as special cases of a generalized entropy. Oikos 109: 203–207.CrossRefGoogle Scholar
  8. Molinari, J. 1989. A calibrated index for the measurement of evenness. Oikos 56: 319–326.CrossRefGoogle Scholar
  9. Patil, G.P. and Taillie, C. 1979. An overview of diversity. In: Grassle, J.F., Patil, G.P., Smith, W. and Taillie, C. (eds.), Ecological Diversity in Theory and Practice. International Cooperative Publishing House, Fairland, Maryland, pp. 3–27.Google Scholar
  10. Patil, G.P. and Taillie, C. 1982. Diversity as a concept and its measurement. J. Am. Stat. Ass. 77: 548–567.CrossRefGoogle Scholar
  11. Pielou, E.C. 1980. Review on Grassle et al. (1979). Biometrics 36: 742–743.CrossRefGoogle Scholar
  12. Podani,J. 1992. Space series analysis: processes reconsidered.Abstr. Bot. 16: 25–29.Google Scholar
  13. Rényi, A. 1961. On measures of entropy and information. In: Neyman, J. (ed.), Proceedings of the 4th Berkeley Symposium on Mathematical Statistics and Probability, Vol. I. University of California Press, Berkeley, pp. 547–561.Google Scholar
  14. Rényi, A. 1970. Probability Theory. North-Holland, Amsterdam.Google Scholar
  15. Ricotta, C. 2000. From theoretical ecology to statistical physics and back: self-similar landscape metrics as a synthesis of ecological diversity and geometrical complexity. Ecol. Model. 125: 245–253.CrossRefGoogle Scholar
  16. Ricotta, C. 2003. Additive partition of parametric information and its associated _-diversity measure. Acta Biotheor. 51: 91–100.CrossRefGoogle Scholar
  17. Ricotta, C. 2004. A parametric diversity measure combining the relative abundances and taxonomic distinctiveness of species. Divers. Distrib. 10: 143–146.CrossRefGoogle Scholar
  18. Ricotta, C. 2005. Through the jungle of biological diversity. Acta Biotheor. 53: 29–38.CrossRefGoogle Scholar
  19. Southwood, T.R.E. and Henderson, P.A. 2000. Ecological Methods, 3rd ed. Blackwell Science, Oxford.Google Scholar
  20. Sugihara, G. 1982. Comment to Patil and Taillie (1982). J. Am. Stat. Ass. 77: 564–565.Google Scholar
  21. Tóthmérész, B. 1993. DivOrd 1.50: A program for diversity ordering. Tiscia 27: 33–44.Google Scholar
  22. Tóthmérész, B. 1994. Statistical analysis of spatial pattern in plant communities. Coenoses 9: 33–41.Google Scholar
  23. Tóthmérész, B. 1995. Comparison of different methods for diversity ordering. J. Veg. Sci. 6: 283–290.CrossRefGoogle Scholar
  24. Tóthmérész, B. 1998. On the characterization of scale-dependent diversity. Abstr. Bot. 22: 149–156.Google Scholar
  25. Tsallis, C. 1988. Possible generalization of Boltzmann-Gibbs statistics. J. Stat. Phys. 52: 479–487.CrossRefGoogle Scholar
  26. Tsallis, C. 2002. Entropic nonextensivity: a possible measure of complexity. Chaos, Solitons and Fractals 13: 371–391.CrossRefGoogle Scholar

Copyright information

© Akadémiai Kiadó, Budapest 2005

This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

Authors and Affiliations

  1. 1.Department of Plant BiologyUniversity of Rome “La Sapienza”RomeItaly

Personalised recommendations