A nonparametric lower bound for the number of species shared by multiple communities

Journal of Agricultural, Biological, and Environmental Statistics

Volumn 14, Issue 4, 2009, Pages 452-468

  Pan, H Y ^a   Chao, Anne ^b   Foissner, Wilhelm ^c  

^a NATIONAL CHIAYI UNIVERSITY   (Taiwan)

^b NATIONAL TSING HUA UNIVERSITY   (Taiwan)

^c UNIVERSITY OF SALZBURG   (Austria)

Author keywords

Abundance data; Community overlap; Diversity indices; Replicated incidence data; Shared species; Similarity

Indexed keywords

BOUNDARY CONDITION; COMPUTER SIMULATION; DETECTION METHOD; DIVERSITY INDEX; NONLINEARITY; PERFORMANCE ASSESSMENT; POPULATION SIZE; PROBABILITY; RELATIVE ABUNDANCE; SIMILARITY INDEX; SPECIES RICHNESS; VARIANCE ANALYSIS;

NAMIBIA;

CILIOPHORA;

EID: 77951705581     PISSN: 10857117     EISSN: 15372693     Source Type: Journal    
DOI: 10.1198/jabes.2009.07113     Document Type: Article

References (28)

1. Bohannan, B. J. M., and Hughes, J. (2003), "New Approaches to Analyzing Microbial Biodiversity Data," Current Opinion in Microbiology, 6, 182-187.
2. Boulinier, T., Nichols, J. D., Sauer, J. R., Hines, J. E., and Pollock, K. H. (1998), "Estimating Species Richness: The Importance of Heterogeneity in Species Detectability," Ecology, 79, 1018-1028.
3. Bunge, J., and Fitzpatrick, M. (1993), "Estimating the Number of Species: A Review," Journal of the American Statistical Association, 88, 364-373.
4. Chao, A. (1984), "Nonparametric Estimation of the Number of Classes in a Population," Scandinavian Journal of Statistics, 11, 265-270.
5. Chao, A. (1987), "Estimating the Population Size for Capture-Recapture Data With Unequal Catchability," Biometrics, 43, 783-791.
6. Chao, A. (1989), "Estimating Population Size for Sparse Data in Capture-Recapture Experiments," Biometrics, 45, 427-438.
7. Chao, A. (2005), "Species Estimation and Applications," in Encyclopedia of Statistical Sciences, Vol. 12 (2nd ed.), eds. N. Balakrishnan, C. B. Read, and B. Vidakovic, New York: Wiley, pp. 7907-7916.
8. Chao, A., and Shen, T. J. (2003), Program SPADE (Species Prediction And Diversity Estimation), program and user's guide at http://chao. stat. nthu. edu. tw.
9. Chao, A., Hwang, W.-H., Chen, Y.-C., and Kuo, C.-Y. (2000), "Estimating the Number of Shared Species in Two Communities," Statistica Sinica, 10, 227-246.
10. Chao, A., Li, P. C., Agatha, S., and Foissner, W. (2006), "A Statistical Approach to Estimate Soil Ciliate Diversity and Distribution Based on Data From Five Continents," Oikos, 114, 479-493.
11. Chao, A., Pan, H. Y., and Chiang, S. C. (2008), "The Petersen-Lincoln Estimator and Its Extension to Estimate the Size of a Shared Population," Biometrical Journal, 50, 957-970.
12. Chao, A., Shen, T.-J., and Hwang, W.-H. (2006), "Application of Laplace's Boundary-Mode Approximations to Estimate Species and Shared Species Richness," Australian and New Zealand Journal of Statistics, 48, 117-128.
13. Colwell, R. K. (2004), EstimateS: Statistical Estimation of Species Richness and Shared Species From Samples, Version 7. 5, user's guide and application published at http://viceroy. eeb. uconn. edu/estimates.
14. Colwell, R. K., and Coddington, J. A. (1994), "Estimating Terrestrial Biodiversity Through Extrapolation," Philosophical Transactions of the Royal Society of London B-Biological Sciences, 345, 101-118.
15. Fisher, R. A., Corbet, A. S., and Williams, C. B. (1943), "The Relation Between the Number of Species and the Number of Individuals in a Random Sample of an Animal Population," Journal of Animal Ecology, 12, 42-58.
16. Foissner, W. (1999), "Protist Diversity: Estimates of the Near Imponderable," Protist, 150, 363-368.
17. - (2006), "Biogeography and Dispersal of Micro-Organisms: A Review Emphasizing Protists," Acta Protozoologica, 45, 111-136.
18. Foissner, W., Agatha, S., and Berger, H. (2002), "Soil Ciliates (Protozoa, Ciliophora) From Namibia (Southwest Africa), With Emphasis on Two Contrasting Environments, the Etosha Region and the Namib Desert," Denisia, 5, 1-1459.
19. Green, J., Holmes, A. J., Westoby, M., Oliver, I., Brlscoe, D., Dangerfield, M., Gillings, M., and Beattle, A. J. (2004), "Spatial Scaling of Microbial Eukaryote Diversity," Nature, 432, 747-753.
20. Hillebrand, H., Watermann, F., Karez, R., and Berninger, U.-G. (2001), "Differences in Species Richness Patterns Between Unicellular and Multicellular Organisms," Oecologia, 126, 114-124.
21. Hughes, J. B., Hellmann, J. J., Ricketts, T. H., and Bohannan, B. J. M. (2001), "Counting the Uncountable: Statistical Approaches to Estimating Microbial Diversity," Applied and Environmental Microbiology, 67, 4399-4406.
22. MacArthur, R. H. (1957), "On the Relative Abundances of Bird Species," Proceedings of the National Academy of Sciences, 43, 193-295.
23. Magurran, A. E. (2004), Measuring Biological Diversity, Oxford, U. K.: Blackwell.
24. Schloss, P. D., and Handelsman, J. (2005), "Introducing DOTUR, a Computer Program for Defining Operational Taxonomic Units and Estimating Species Richness," Applied and Environmental Microbiology, 71, 1501-1506.
25. Seber, G. A. F. (1982), The Estimation of Animal Abundance (2nd ed.), London: Griffin.
26. Stach, J. E. M., Maldonado, L. A., Masson, D. G., Ward, A. C., Goodfellow, W. M., and Bull, A. T. (2003), "Statistical Approaches for Estimating Actinobacterial Diversity in Marine Sediments," Applied Environmental Microbiology, 69, 6189-6200.
27. Turner, W., Leitner, W., and Rosenzweig, M. L. (1999), WS2m: Software for Estimating Diversity, program and user's guide at http://eebweb. arizona. edu/diversity.
28. Walther, B. A., and Morand, S. (1998), "Comparative Performance of Species Richness Estimation Methods," Parasitology, 116, 395-405.