Abstract
Diversity patterns cannot be properly interpreted without a theory providing criteria for their evaluation. We propose a concept to prevent artifictions caused by improper consideration of changes in observed patterns due to variation in taxon delimitation. Most biodiversity patterns concern assemblages of species of given higher taxon (e.g. class). Some patterns seem to be universal, e.g., body size distribution, species-abundance distribution, species-area relationship, or the relationship between diversity and energy availability. However, truly universal patterns should not change when we change taxonomic scope by focusing on subtaxa or when we merge several sister taxa together and analyze patterns in resulting higher taxon. Similarly, some patterns may not change when changing the basic unit of the study e.g., when replacing species by genera or families (or any monophyletic clades), although other patterns may not be invariant against the variation of the basic unit. In fact, there are only two possibilities: biodiversity patterns are either taxon-invariant or they vary systematically with taxonomic resolution, which would indicate some fundamental taxonomic level with interesting implications for biological processes behind those patterns. Here we develop the concept of taxon invariance of diversity patterns and apply it on the abovementioned patterns. We show that simple theoretical considerations markedly constrain the set of possible patterns, as some of them cannot be simultaneously valid for both a taxon and its subtaxa – frequency distributions of abundances cannot be simultaneously lognormal for a given taxon and all its subtaxa, the taxa-area relationship cannot follow a power-law for all levels of taxonomic resolution, and energy availability cannot affect diversity of all taxonomic units in the same way. Analyses of the variation in the form of biodiversity patterns with changing taxonomic resolution thus provide an extremely useful tool for revealing properties of respective patterns, their universality and logical consistency.
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References
Aarssen LW, Schamp BS, Pither J (2006) Why are there so many small plants? Implications for species coexistence. J Ecol 94:569–580
Allen AP, Brown JH, Gillooly JF (2002) Global biodiversity, biochemical kinetics, and the energetic-equivalence rule. Science 297:1545–1548
Allen AP, Gillooly JF, Savage VM, Brown JH (2006) Kinetic effects of temperature on rates of genetic divergence and speciation. Proc Natl Acad Sci USA 103:9130–9135
Allen AP, Gillooly JF, Brown JH (2007) Recasting the species-energy hypothesis: the different roles of kinetic and potential energy in regulating biodiversity. In Storch D, Marquet PA, Brown JH (eds) Scaling biodiversity. Cambridge University Press, Cambridge, pp 283–299
Bonn A, Storch D, Gaston KJ (2004) Structure of the species-energy relationship. Proc Roy Soc London, Ser B, Biol Sci 271:1685–1691
Brown JH (1995) Macroecology. University of Chicago Press, Chicago
Brown JH, Gillooly JF, Allen AP, Savage VM, West GB (2004) Toward a metabolic theory of ecology. Ecology 85:1771–1789
Coleman DB (1981) On random placement and species-area relations. Math Biosci 54:191–215
Connor EF, McCoy ED (1979) The statistics and biology of the species-area relationship. Amer Naturalist 113:791–833
Currie DJ, Mittelbach GG, Cornell HV, Field R, Guégan JF, Hawkins BA, Kaufman DM, Kerr JT, Oberdorff T, O’Brien EM, Turner JRG (2004) Predictions and tests of climate-based hypotheses of broad-scale variation in taxonomic richness. Ecol Lett 7:1121–1134
Damuth J (1987) Interspecific allometry of population density in mammals and other animals: The independence of body mass and energy use. Biol J Linn Soc 31:193−246
Darwin CR (1859) On the origin of species by means of natural selection or the preservation of the favoured races in the struggle for life. John Murray, London
Diniz-Filho JAF, Rangel TFLVB, Bini LM, Hawkins BA (2007) Macroevolutionary dynamics in environmental space and the latitudinal diversity gradient in New World birds. Proc Roy Soc London, Ser B, Biol Sci 274:43–52
Drakare S, Lennon JL, Hillebrand H (2006) The imprint of the geographical, evolutionary and ecological context on species-area relationships. Ecol Lett 9:215–227
Ghiselin MT (2005) Homology as a relation of correspondence between parts of individuals. Theory Biosci 124:91–103
Green J, Bohannan BJM (2007) Biodiversity scaling relationships: are microorganisms fundamentally different? In Storch D, Marquet PA, Brown JH (eds) Scaling biodiversity. Cambridge University Press, Cambridge, pp 129–149
Hackett SJ, Kimball RT, Reddy S, Bowie RCK, Braun EL, Braun MJ, Chojnowski JL, Cox WA, Han K-L, Harsman J, Huddleston CJ, Marks BD, Miglia KJ, Moore WS, Sheldon FH, Steadman DW, Witt CC, Yuri T (2008) A phylogenomic study of birds reveals their evolutionary history. Science 320:1763–1768
Hawkins BA, Field R, Cornell HV, Currie DJ, Guegan J, Kaufman DM, Kerr JT, Mittelbach GG, Oberdorff T, O’Brien EM, Porter EE, Turner JRG (2003) Energy, water, and broad-scale geographic patterns of species richness. Ecology 84:3105–3117
He F, Condit R (2007) The distribution of species: occupancy, scale, and rarity. In Storch D, Marquet PA, Brown JH (eds) Scaling biodiversity. Cambridge University Press, Cambridge, pp 32–50
Hennig W (1966) Phylogenetic systematics. University of Illinois Press, Urbana, Illinois
Hubbell SP (2001) The unified theory of biodiversity and biogeography. Princeton University Press, Princeton
Keil P, Dziock F, Storch D (2008) Geographical patterns of hoverfly (Diptera, Syrphidae) functional groups in Europe: inconsistency in environmental correlates and latitudinal trends. Ecol Entomol, published online, doi:10.1111/j.1365-2311.2008.01032.x
Kunin WE (1998) Extrapolating species abundances across spatial scales. Science 281:1513–1515
Laplace PS (1812) Théorie analytique des probabilités. Veuve Courcier, Paris
Lennon JJ, Kunin WE, Hartley S (2002) Fractal species distributions do not produce power-law species area distribution. Oikos 97:378–386
Lotka AJ (1932) The growth of mixed populations: two species competing for a common food supply. J Wash Acad Sci 22:461–469
Marquet PA, Fernández M, Navarrete SA, Valdovinos C (2004) Diversity emerging: toward a deconstruction of biodiversity patterns. In Lomolino MV, Heaney LR (eds) Frontiers of biogeography: new directions in the geography of nature. Sinauer Associates, Sunderland, pp 191–209
Maurer BA (1998) The evolution of body size in birds. I. Evidence for non-random diversification. Evol Ecol 12:925–934
May R (1975) Patterns of species abudance and diversity. In Cody ML, Diamond JM (eds) Ecology and evolution of communities. The Belknap Press of Harvard University Press, Cambridge, MA, pp 81–120
McGill BJ, Etienne RS, Gray JS, Alonso D, Anderson MJ, Benecha HK, Dornelas M, Enquist BJ, Green JL, He F, Hurlbert AH, Magurran AE, Marquet PA, Maurer BA, Ostling A, Soykan CU, Ugland KI, White EP (2007) Species abundance distributions: moving beyond single prediction theories to integration within an ecological framework. Ecol Lett 10:995–1015
McShea DW (1994) Mechanisms of large-scale evolutionary trends. Evolution 48:1747–1763
Palmer MW, McGlinn DJ, Fridley J. (2008) Artifacts and artifictions in biodiversity research. Folia Geobot 43(3):245–257
Panchen A (1992) Classification, evolution and the nature of biology. Cambridge University Press, Cambridge
Poorter L, Hawthorne W, Bongers F, Sheil D (2008) Maximum size distribution in tropical forest communities: relationships with rainfall and disturbance. J Ecol 96:495–504
Preston FW (1948) The commonness, and rarity, of species. Ecology 29:254–283
Rosenzweig ML (1995) Species diversity in space and time. Cambridge University Press, Cambridge
Šizling AL, Storch D (2004) Power-law species-area relationships and self-similar species distributions within finite areas. Ecol Lett 7:60–68
Storch D (2003) Comment on ‘Global biodiversity, biochemical kinetics, and the energetic-equivalence rule’. Science 299:346b
Storch D, Gaston KJ (2004) Untangling ecological complexity on different scales of space and time. Basic Appl Ecol 5:389–400
Storch D, Šizling AL, Gaston KJ (2007) Scaling species richness and distribution: Uniting the species-area and species-energy relationships. In Storch D, Marquet PA, Brown JH (eds) Scaling biodiversity. Cambridge University Press, Cambridge, pp 300–322
Thomas GH, Orme CDL, Davies RG, Olson VA, Bennett PM, Gaston KJ, Owens IPF, Blackburn TM (2008) Regional variation in the historical components of global avian species richness. Global Ecol Biogeogr, published online, doi:10.1111/j.1466-8238.2008.00384.x
Volterra V (1926) Variations and fluctuations of the numbers of individuals in animals living together. In Chapman RN (ed) Animal ecology. McGraw Hill, New York (reprinted in 1931)
Wang SC (2001) Quantifying passive and driven large-scale evolutionary trends. Evolution 55:849–858
Williams MR (1995) An extreme-value function model of the species incidence and species-area relationship. Ecology 76:2607–2616
Williamson M, Gaston KJ (2005) The lognormal distribution is not an appropriate null hypothesis for the species-abundance distribution. J Anim Ecol 74:409–422
Acknowledgements
We thank Jiří Reif for providing field data on bird assemblages and help with data management. Marcel Rejmánek and Alison Boyer provided valuable comments on the manuscript. The project was supported by grants Nr. LC06073 and MSM0021620845 from the Czech Ministry of Education and IAA601970801 from the Grant Agency of the AS CR. A.L.Š. was supported by Marie Curie Fellowship nr. 039576-RTBP-EIF.
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Storch, D., Šizling, A.L. The Concept of Taxon Invariance in Ecology: Do Diversity Patterns Vary with Changes in Taxonomic Resolution?. Folia Geobot 43, 329–344 (2008). https://doi.org/10.1007/s12224-008-9015-8
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DOI: https://doi.org/10.1007/s12224-008-9015-8