Abstract
Alpha, beta, and gamma diversity are three fundamental biodiversity components in ecology, but most studies focus only on the scale issues of the alpha or gamma diversity component. The beta diversity component, which incorporates both alpha and gamma diversity components, is ideal for studying scale issues of diversity. We explore the scale dependency of beta diversity and scale relationship, both theoretically as well as by application to actual data sets. Our results showed that a power law exists for beta diversity-area (spatial grain or spatial extent) relationships, and that the parameters of the power law are dependent on the grain and extent for which the data are defined. Coarse grain size generates a steeper slope (scaling exponent z) with lower values of intercept (c), while a larger extent results in a reverse trend in both parameters. We also found that, for a given grain (with varying extent) or a given extent (with varying grain) the two parameters are themselves related by power laws. These findings are important because they are the first to simultaneously relate the various components of scale and diversity in a unified manner.
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Abbreviations
- DBH:
-
Diameter at Breast Height
- SAR:
-
Species-area relationship
References
Anderson, M.J., T.O. Crist, J.M. Chase, M. Vellend, B.D. Inouye, A.L. Freestone, N.J. Sanders, H.V. Cornell, L.S Comita, K.F. Davies, S.P. Harrison, N.J.B. Kraft, J.C. Stegen and N.G. Swenson. 2011. Navigating the multiple meanings of beta diversity: a roadmap for the practicing ecologist. Ecol. Lett. 14: 19–28.
Arrhenius, O. 1921. Species and area. J. Ecol. 9: 95–99.
Barton, P.S., S.A. Cunningham, A.D. Manning, H. Gibb, D.B. Lindenmayer and R.K. Didham. 2013. The spatial scaling of beta diversity. Global Ecol. Biogeogr. 22: 639–647.
Chao A., C. Chiu and C.H. Hsieh. 2012. Proposing a resolution to debates on diversity partitioning. Ecology 93: 2037–2051.
Connor, E.F. and E.D. McCoy.1979. The statistics and biology of the species-area relationship. Am. Nat. 113: 791–833.
Crawley, M.J. and J.E. Harral. 2001. Scale dependence in plant biodiversity. Science 291: 864–868.
de Bello, F., S. Lavergne, C. N. Meynard, J. Lepš and W. Thuiller. 2010. The partitioning of diversity: showing Theseus a way out of the labyrinth. J. Veg. Sci. 21: 992–1000.
Dengler, J. 2009. Which function describes the species-area relationship best? A review and empirical evaluation. J. Biogeogr. 36: 728–744.
Drakare S., J.J. Lennon and H. Hillebrand. 2006. The imprint of the geographical, evolutionary and ecological context on species– area relationships. Ecol. Lett. 9: 215–227.
Ellison, A.M. 2010. Partitioning diversity. Ecology 91: 1962–1963.
He, F.L. and P. Legendre. 1996. On species-area relations. Am. Nat. 148: 719–737.
Hubbell, S.P. 2001. The Unifed Neutral Theory of Biodiversity and Biogeography. Princeton University Press, Princeton, NJ.
Jost, L. 2010. Independence of alpha and beta diversities. Ecology 91: 1969–1974.
Kiflawi M. and M. Spencer. 2004. Confidence intervals and hypothesis testing for beta diversity. Ecology 85: 2895–2900.
Koleff, P., K.J. Gaston and J.J. Lennon. 2003. Measuring beta diversity for presence–absence data. J. Anim. Ecol. 72: 367–382.
Lawton, J.H. 1999. Are there general laws in ecology? Oikos 84: 177– 192.
Legendre, P., D. Borcard and P.R. Peres-Neto. 2005. Analyzing beta diversity: partitioning the spatial variation of community composition data. Ecol. Monogr. 75: 435–450.
Levin, S.A. 1992. The problem of pattern and scale in ecology: the Robert H. MacArthur award lecture. Ecology 73: 1943–1967.
Li, L., Z.L. Huang, W.H. Ye, H.L. Cao, S.G. Wei, Z.G. Wang, J.Y. Lian, I.F. Sun, K.P. Ma and F.L. He. 2009. Spatial distributions of tree species in a subtropical forest of China. Oikos 118: 495– 502.
Lomolino, M.V. 2000. Ecology’s most general, yet protean pattern: the species-area relationship. J. Biogeogr. 27: 17–26.
Loreau, M. 2000. Are communites saturated? On the relationship between α, β and γ diversity. Ecol. Lett. 3: 73–76.
MacArthur, R., H. Recher and M.Cody. 1966. On the relation between habitat selection and species diversity. Am. Nat. 100: 319– 332.
MacArthur, R.H. and E.O Wilson. 1967. The Theory of Island Biogeography. Princeton University Press, Princeton, NJ.
MacNally, R., E. Fleishman, L.P Bulluck and C.J. Estrus. 2004. Comparative influence of spatial scale on beta diversity within regional assemblages of birds and butterflies. J. Biogeogr. 31: 917–929.
Martín, H. G. and N. Goldenfeld. 2006. On the origin and robustness of power-laws pecies-area relationships in ecology. PNAS 103: 10310–10315.
Palmer, M.W. and PS. White. 1994. Scale dependence and the Species-Area Relationship. Am. Nat. 144: 717–740.
R Development Core Team. 2011. R: A language and environment for statistical computing. R Foundation for Statistical Computing, Vienna,Austria. ISBN 3-900051-07-0, URL https://doi.org/www.R-project.org/.
Rahbek, C. 2005. The role of spatial scale and the perception of large-scale species-richness patterns. Ecol. Lett. 8: 224–239.
Ricotta, C. & M. Marignani. 2007. Computing β-diversity with Rao’s quadratic entropy: a change of perspective. Divers. Distrib. 13: 237–241.
Ricotta, C. 2008. Computing additive beta-diversity from presence and absence scores: a critique and alternative parameters. Theor. Popul. Biol. 73: 244–249.
Ricotta, C. 2010. On beta diversity decomposition: trouble shared is not trouble halved. Ecology 91: 1981–1983.
Ritz, C. and J.C. Streibig. 2008. Nonlinear Regression with R. Springer, New York.
Rosenzweig, M.C. 1995. Species Diversity in Space and Time. Cambridge University Press, Cambridge.
Sandel, B. and A.B. Smith. 2009. Scale as a lurking factor: incorporating scale-dependence in experimental ecology. Oikos 118: 1284–1291.
Scheiner, S. M. 2003. Six types of species-area curves. Global Ecol. Biogeogr. 12: 441–447.
Tuomisto, H. 2010a. A diversity of beta diversities: straightening up a concept gone awry. Part 1. Defining beta diversity as a function of alpha and gamma diversity. Ecography 33: 2–22.
Tuomisto, H. 2010b. A diversity of beta diversities: straightening up a concept gone awry. Part 2. Quantifying beta diversity and related phenomena. Ecography 33: 23–45.
Turner, W.R. and Tjørve E. 2005.Scale-dependence in species-area relationships. Ecography 28: 721–730.
Veech, J.A. and T.O. Crist. 2010. Toward a unified view of diversity partitioning. Ecology 91: 1988–1992.
Vellend, M. 2001. Do commonly used indices of β-diversity measure species turnover? J. Veg. Sci. 12: 545–552.
Xiao, X., E.P. White, M.B. Hooten and S.L. Durham. 2011. On the use of logtransformation vs. nonlinear regression for analyzing biological power laws. Ecology 92: 1887–1894.
Whittaker, R.H. 1972. Evolution and measurement of species diversity. Taxon 21: 213–251.
Whittaker, R. J. and T. J. Matthews. 2014. The varied form of species–area relationships. J. Biogeogr. 41: 209–210.
Wiens, J.A. 1989. Spatial scaling in ecology. Funct. Ecol. 3: 385–397.
Wilson, M. V. and A. Shmida. 1984. Measuring beta diversity with presence-absence data. J. Ecol. 72: 1055–1064.
Zhang, Y.X., K.M. Ma, M. Anand and B.J. Fu. 2006. Do generalized scaling laws exist for species abundance distribution in mountains? Oikos 116: 81–88.
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Zhang, Y., Ma, K., Anand, M. et al. Scale dependence of the beta diversity-scale relationship. COMMUNITY ECOLOGY 16, 39–47 (2015). https://doi.org/10.1556/168.2015.16.1.5
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DOI: https://doi.org/10.1556/168.2015.16.1.5