Beta diversity

In ecology, beta diversity (β-diversity or true beta diversity) is the ratio between regional and local species diversity. The term was introduced by R. H. Whittaker[1] together with the terms alpha diversity (α-diversity) and gamma diversity (γ-diversity). The idea was that the total species diversity in a landscape (γ) is determined by two different things, the mean species diversity at the habitat level (α) and the differentiation among habitats (β). Other formulations for beta diversity include "absolute species turnover", "Whittaker's species turnover" and "proportional species turnover".

Whittaker proposed several ways of quantifying differentiation, and subsequent generations of ecologists have invented more. As a result, there are now many defined types of beta diversity.[2][3] Some use beta diversity to refer to any of several indices related to compositional heterogeneity.[4][5][6] Confusion is avoided by using distinct names for other formulations.[2][3][7][8][9][10]

Beta diversity as a measure of species turnover overemphasizes the role of rare species as the difference in species composition between two sites or communities is likely reflecting the presence and absence of some rare species in the assemblages. Moreover, pairwise beta diversity are inadequate in building all biodiversity partitions (some partitions in a Venn diagram of 3 or more sites cannot be expressed by alpha and beta diversity). Consequently, some macroecological and community patterns cannot be fully expressed by alpha and beta diversity. Due to these two reasons, a new way of measuring species turnover, coined Zeta diversity (ζ-diversity),[11] has been proposed and used to connect all existing incidence-based biodiversity patterns.

Types

True beta diversity

Gamma diversity and alpha diversity can be calculated directly from species inventory data.[2][12] The simplest of Whittaker's original definitions of beta diversity is

β = γ/α

Here gamma diversity is the total species diversity of a landscape and alpha diversity is the mean species diversity per habitat. Because the limits among habitats and landscapes are diffuse and to some degree subjective, it has been proposed that gamma diversity can be quantified for any inventory dataset and that alpha and beta diversity can be quantified whenever the dataset is divided into subunits. Then gamma diversity is the total species diversity in the dataset and alpha diversity the mean species diversity per subunit. Beta diversity quantifies how many subunits there would be if the total species diversity of the dataset and the mean species diversity per subunit remained the same, but the subunits shared no species.[2][7]

Absolute species turnover

Some researchers have preferred to partition gamma diversity into additive rather than multiplicative components.[13][14] Then the beta component of diversity becomes

βA = γ - α

This quantifies how much more species diversity the entire dataset contains than an average subunit within the dataset. This can also be interpreted as the total amount of species turnover among the subunits in the dataset.[2]

When there are two subunits, and presence-absence data are used, this can be calculated with the following equation:

[15]

where, S1= the total number of species recorded in the first community, S2= the total number of species recorded in the second community, and c= the number of species common to both communities.

Whittaker's species turnover

If absolute species turnover is divided by alpha diversity, a measure is obtained that quantifies how many times the species composition changes completely among the subunits of the dataset. This measure was proposed by Whittaker,[16] so it has been called Whittaker's species turnover.[2] It is calculated as

βW = (γ - α)/α = γ/α - 1

When there are two subunits, and presence-absence data are used, this equals the one-complement of the Sørensen similarity index.[2][17]

Proportional species turnover

If absolute species turnover is divided by gamma diversity, a measure is obtained that quantifies what proportion of the species diversity in the dataset is not contained in an average subunit.[2] It is calculated as

βP = (γ - α)/γ = 1 - α/γ

When there are two subunits, and presence-absence data are used, this measure as ranged to the interval [0, 1] equals the one-complement of the Jaccard similarity index.[2]

See also

References

  1. ↑ Whittaker, R. H. (1960) Vegetation of the Siskiyou Mountains, Oregon and California. Ecological Monographs, 30, 279–338.
  2. 1 2 3 4 5 6 7 8 9 Tuomisto, H. (2010) 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. doi:10.1111/j.1600-0587.2009.05880.x
  3. 1 2 Tuomisto, H. (2010) A diversity of beta diversities: straightening up a concept gone awry. Part 2. Quantifying beta diversity and related phenomena. Ecography, 33, 23-45. doi:10.1111/j.1600-0587.2009.06148.x
  4. ↑ Koleff, P., Gaston, K. J. and Lennon, J. J. (2003) Measuring beta diversity for presence–absence data. Journal of Animal Ecology 72, 367–382. doi: 10.1046/j.1365-2656.2003.00710.x
  5. ↑ Anderson, M. J. et al. (2011) Navigating the multiple meanings of β diversity: a roadmap for the practicing ecologist. Ecology Letters 14, 19–28. doi:10.1111/j.1461-0248.2010.01552.x
  6. ↑ Gorelick, R. (2011) Commentary: Do we have a consistent terminology for species diversity? The fallacy of true diversity. Oecologia 167, 885-888. doi:10.1007/s00442-011-2124-8
  7. 1 2 Tuomisto, H. 2010. A consistent terminology for quantifying species diversity? Yes, it does exist. Oecologia 4: 853–860. doi:10.1007/s00442-010-1812-0
  8. ↑ Jurasinski, G. and Koch, M. (2011) Commentary: do we have a consistent terminology for species diversity? We are on the way. Oecologia, 167, 893-902. doi:10.1007/s00442-011-2126-6
  9. ↑ Moreno, C. E: and Rodríguez, P. (2011) Commentary: Do we have a consistent terminology for species diversity? Back to basics and toward a unifying framework. Oecologia, 167, 889-892. doi:10.1007/s00442-011-2125-7
  10. ↑ Tuomisto, H. (2011) Commentary: do we have a consistent terminology for species diversity? Yes, if we choose to use it. Oecologia, 167, 903-911. doi:10.1007/s00442-011-2128-4
  11. ↑ Hui, C. & McGeoch, M.A. (2014) Zeta diversity as a concept and metric that unifies incidence-based biodiversity patterns. American Naturalist, 184: 684-694. doi:10.1086/678125
  12. ↑ Jost L (2006) Entropy and diversity. Oikos 113, 363–375. doi: 10.1111/j.2006.0030-1299.14714.x
  13. ↑ Lande, R. (1996) Statistics and partitioning of species diversity, and similarity among multiple communities. Oikos, 76, 5-13.
  14. ↑ Veech, J. A. et al. (2002) The additive partitioning of species diversity: recent revival of an old idea. Oikos, 99, 3-9. doi: 10.1034/j.1600-0706.2002.990101.x
  15. ↑ James S. Albert; Roberto E. Reis (8 March 2011). Historical Biogeography of Neotropical Freshwater Fishes. University of California Press. p. 308. ISBN 978-0-520-26868-5. Retrieved 28 June 2011.
  16. ↑ Whittaker, R. H. (1972) Evolution and measurement of species diversity. Taxon, 21, 213-251.
  17. ↑ Sørensen, T.A. (1948) A method of establishing groups of equal amplitude in plant sociology based on similarity of species content, and its application to analyses of the vegetation on Danish commons. Kongelige Danske Videnskabernes Selskabs Biologiske Skrifter, 5, 1–34.
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