Open Conference Systems, 50th Scientific meeting of the Italian Statistical Society

Font Size: 
Species richness estimation exploiting purposive lists: A proposal
Alessandro Chiarucci, Rosa Maria Di Biase, Lorenzo Fattorini, Marzia Marcheselli, Caterina Pisani

Last modified: 2018-05-31

Abstract


The lists of species obtained by purposive sampling can be used to improve the sample-based estimation of species richness. A new estimator has been proposed as a modification of the difference estimator in which the species inclusion probabilities are estimated by means of the species frequencies from incidence data. An asymptotically conservative estimator of the mean squared error is also provided.

References


  1. Barabesi, L., Fattorini, L.: The use of replicated plot, line and point sampling for estimating species abundances and ecological diversity. Environ. Ecol. Stat. (1998) doi: 10.1023/A:1009655821836
  2. Chiarucci, A., Di Biase, R.M., Fattorini, L., Marcheselli, M., Pisani, C.: Joining the incompatible: Exploiting purposive lists for the sample-based estimation of species richness. Ann. Appl. Stat. Forthcoming
  3. D’Alessandro, L., Fattorini, L.: Resampling estimators of species richness from presence-absence data: Why they don’t work. Metron, 60, 5-19 (2002)
  4. Fattorini, L.: Applying the Horvitz–Thompson criterion in complex designs: A computer-intensive perspective for estimating inclusion probabilities. Biometrika (2006) doi: 10.1093/biomet/93.2.269
  5. Fattorini, L.: Statistical inference on accumulation curves for inventorying forest diversity: A design-based critical look. Plant Biosyst. (2007) doi: 10.1080/11263500701401786
  6. Gaston, K.J.: Species richness: measure and measurement. In: Gaston, K.J. (ed.)  Biodiversity. A Biology of Numbers and Difference, pp. 77–113. Blackwell Science, Oxford (1996)
  7. Palmer, M.W., Earls, P.G., Hoagland, B.W., White, P.S., Wohlgemuth, T.: Quantitative tools for perfecting species lists. Environmetrics. (2002) doi: 10.1002/env.516
  8. Särndal, C.E., Swensson, B., Wretman, J.: Model Assisted Survey Sampling. Springer, New York (1992)

Full Text: DOC