Abstract
Rarefaction has long represented a powerful tool for detecting species richness and its variation across spatial scales. Some authors recently reintroduced the mathematical expression for calculating sample-based rarefaction curves. While some of them did not claim any advances, others presented this formula as a new analytical solution. We provide evidence about formulations of the sample-based rarefaction formula older than those recently proposed in ecological literature.
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Colwell, R.K. and J.A. Coddington. 1994. Estimating terrestrial biodiversity through extrapolation. Philos. T. Roy. Soc. B. 345: 101–118.
Colwell, R.K., C.X. Mao and J. Chang. 2004. Interpolating, extrapolating, and comparing incidence-based species accumulation curves. Ecology 85: 2717–2727.
Crist, T.O. and J.A. Veech. 2006. Additive partitioning of rarefaction curves and species-area relationship: unifying alpha-, beta- and gamma-diversity with sample size and habitat area. Ecol. Lett. 9: 923–932.
Engen, S. 1976. A note on the estimation of the species-area curve. J. Cons. Inter. Explor. Mer. 36: 286–288.
Gotelli, N.J. and R.K. Colwell. 2001. Quantifying biodiversity: procedures and pitfalls in the measurement and comparison of species richness. Ecol. Lett. 4: 379–391.
Holthe, T. 1975. A method for the calculation of ordinate values of the cumulative species-area curve. J. Cons. Inter. Explor. Mer. 36: 183–184.
Hurlbert, S.H. 1971. The nonconcept of species diversity: a critique and alternative parameters. Ecology 52: 577–586.
Johnson, G.D. and G.P. Patil. 1995. Estimating statewide species richness of breeding birds in Pennsylvania. Coenoses 10: 81–87.
Kobayashi, S. 1974. The species-area relation I. A model for discrete sampling. Res. Popul. Ecol. 15: 223–237.
Koellner, T., A.M. Hersperger and T. Wohlgemuth. 2004. Rarefaction method for assessing plant species diversity on a regional scale. Ecography 27: 532–544.
Lövei, G.L. 2005. Generalised entropy indices have a long history in ecology – a comment. Comm. Ecol. 6: 245–247.
Mao, C.X., R.K. Colwell and J. Chang. 2005. Estimating the species accumulation curve using mixtures. Biometrics 61: 433–441.
May, R.M. 1997. The scientific wealth of nations. Science 275: 793–796.
Olszewski, T. D. 2004. A unified mathematical framework for the measurement of richness and evenness within and among multiple communities. Oikos 104: 377–387.
Paris, G., G. De Leo, P. Menozzi and M. Gatto. 1998. Region-based citation bias in science. Nature 396: 210.
Ricotta, C. 2005. On parametric diversity indices in ecology. Comm. Ecol. 6: 241–244.
Ricotta, C., M.L. Carranza and G. Avena. 2002. Computing -diversity from species-area curve. Basic Appl. Ecol. 3: 15–18.
Ricotta, C. 2004. A parametric diversity measure combining the relative abundances and taxonomic distinctiveness of species. Divers. Distrib. 10: 143–146.
Sanders, H.L. 1968. Marine benthic diversity: a comparative study. Am. Nat. 102: 243–282.
Shinozaki, K. 1963. Note on the species area curve. Proceedings of the 10th Annual Meeting of Ecological Society of Japan , 5 (in Japanese).
Simberloff, D. 1972. Properties of the rarefaction diversity measurement. Am. Nat. 106:414–418.
Smith, W., J.F. Grassle and D. Kravitz. 1979. Measures of diversity with unbiased estimates. In: J.F. Grassle, G.P. Patil, W. Smith and C. Taillie (eds), Ecological Diversity in Theory and Practice. International Co-operative Publishing House, Fairland (MD). pp. 177–191.
Smith, E.P., P.M. Stewart and J. Cairns. 1985. Similarities between rarefaction methods. Hydrobiologia 120: 167–170.
Ugland, K.I., J.S. Gray and K.E. Ellingsen. 2003. The species-accumulation curve and estimation of species richness. J. Anim. Ecol. 72: 888–897.
Wong, B.B.M. and H. Kokko. 2005. Is science as global as we think? Trends Ecol. Evol. 20:475–476.
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Chiarucci, A., Bacaro, G., Rocchini, D. et al. Discovering and rediscovering the sample-based rarefaction formula in the ecological literature. COMMUNITY ECOLOGY 9, 121–123 (2008). https://doi.org/10.1556/ComEc.9.2008.1.14
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DOI: https://doi.org/10.1556/ComEc.9.2008.1.14