Table of Contents
International Scholarly Research Notices
Volume 2014, Article ID 847328, 6 pages
http://dx.doi.org/10.1155/2014/847328
Research Article

An Algebraic Derivation of Chao’s Estimator of the Number of Species in a Community Highlights the Condition Allowing Chao to Deliver Centered Estimates

1Société d’Histoire Naturelle du Creusot, 12 rue des Pyrénées, 71200 Le Creusot, France
2Biogéosciences, Université de Bourgogne, 21000 Dijon, France

Received 30 June 2014; Accepted 19 September 2014; Published 11 November 2014

Academic Editor: Arthur P. Schwab

Copyright © 2014 Jean Béguinot. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. A. Chao, “Nonparametric estimation of the number of classes in a population,” Scandinavian Journal of Statistics, vol. 11, no. 4, pp. 265–270, 1984. View at Google Scholar · View at MathSciNet
  2. A. Chao and T.-J. Shen, “Nonparametric prediction in species sampling,” Journal of Agricultural, Biological, and Environmental Statistics, vol. 9, no. 3, pp. 253–269, 2004. View at Publisher · View at Google Scholar · View at Scopus
  3. J. A. Coddington, L. H. Young, and F. A. Coyle, “Estimating spider species richness in a Southern Appalachian cove hardwood forest,” Journal of Arachnology, vol. 24, no. 2, pp. 111–128, 1996. View at Google Scholar · View at Scopus
  4. P. T. Hraber, Discovering Molecular Mechanisms of Mutualism with Computational Approaches to Endosymbiosis, University of New Mexico, Santa Fe, NM, USA, 2001.
  5. S. Aubry, F. Magnin, V. Bonnet, and R. C. Preece, “Multi-scale altitudinal patterns in species richness of land snail communities in South-Eastern France,” Journal of Biogeography, vol. 32, no. 6, pp. 985–998, 2005. View at Publisher · View at Google Scholar · View at Scopus
  6. S. Brittain and D. Böhning, “Estimators in capture-recapture studies with two sources,” Advances in Statistical Analysis, vol. 93, no. 1, pp. 23–47, 2009. View at Publisher · View at Google Scholar · View at Scopus
  7. A. Chao, R. K. Colwell, C.-W. Lin, and N. J. Gotelli, “Sufficient sampling for asymptotic minimum species richness estimators,” Ecology, vol. 90, no. 4, pp. 1125–1133, 2009. View at Publisher · View at Google Scholar · View at Scopus
  8. L. R. Holdridge, W. G. Grenke, W. H. Hatheway, T. Liang, and J. A. Tosi, Forest Environments in Tropical Life Zones, Pergamon Press, Oxford, UK, 1971.
  9. M. J. Soberon and B. J. Llorente, “The use of species accumulation functions for the prediction of species richness,” Conservation Biology, vol. 7, no. 3, pp. 480–488, 1993. View at Publisher · View at Google Scholar · View at Scopus
  10. R. M. May, “Patterns of species abundance and diversity,” in Ecology and Evolution of Communities, M. L. Cody and J. M. Diamond, Eds., The Belknap Press of Harvard University, Cambridge, Mass, USA, 1975. View at Google Scholar