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On taxonomic membership

Published online by Cambridge University Press:  08 April 2016

Bruce H. Wilkinson*
Affiliation:
Department of Earth Sciences, Syracuse University, Syracuse, New York 13244-1070. E-mail: [email protected]

Abstract

Taxonomic membership frequencies exhibit distributions in which groups with few numbers of subtaxa are much more common in a clade than those with more subtaxa. Here, a “broken plate” model is developed to describe such taxonomic memberships; some higher taxonomic group (the plate) is randomly subdivided into intermediate taxonomic units (plate fragments), whose sizes are dependent on the number of taxonomic subunits that they each contain. Theoretical distributions of membership frequencies produced by this model yield a superior fit to data from both modern and fossil groups, as illustrated by classifications for primarily fossil brachiopods and entirely modern mammals. The nature of these distributions is consistent with the contention that Linnaean membership frequencies result from the random partitioning of taxonomic/morphologic space. Moreover, numbers of taxa contained within hierarchically equivalent groups are unrelated, as are membership numbers at taxonomically higher and lower levels of consideration. Agreement between observed taxonomic memberships and those anticipated from the random partitioning of diversity as described by the “broken plate” model bears directly on a number of fundamental questions including the significance of extreme polytypy and inferred causes of adaptive radiation within many taxonomic groups.

Type
Articles
Copyright
Copyright © The Paleontological Society 

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References

Literature Cited

Akaike, H. 1974. A new look at the statistical model identification. IEEE Transactions on Automatic Control 19:716723.Google Scholar
Aldous, D. J. 2001. Stochastic models and descriptive statistics for phylogenetic trees, from Yule to today. Statistical Science 16:334.Google Scholar
Allmon, W. D. 1992a. A causal analysis of stages in allopatric speciation. Oxford Surveys in Evolutionary Biology 8:220257.Google Scholar
Allmon, W. D. 1992b. Genera in paleontology; definition and significance. Historical Biology 6:49158.Google Scholar
Alroy, J., Aberhan, M., Bottjer, D. J., Foote, M., Fürsich, F. T., Harries, P. J., Hendy, A. J. W., Holland, S. M., Ivany, L. C., Kiessling, W., Kosnik, M. S., Marshall, S. R., McGowran, A. J., Miller, A. I., Olszewski, T. D., Patzkowsky, M. E., Peters, S. E., Villier, L., Wagner, P. J., Bonuso, N., Borkow, P. S., Brenneis, B., Clapham, M. E., Fall, L. M., Furguson, C. A., Hanson, V. L., Krug, A. Z., Layou, K. M., Leckey, E. H., Nürnberg, S., Powers, C. M., Sessa, J. A., Simpson, C., Tomašových, A., and Visaggi, C. C. 2008. Phanerozoic trends in the global diversity of marine invertebrates. Science 321:97100.CrossRefGoogle ScholarPubMed
Anderson, D. L. 2002. How many plates? Geology 30:11414.Google Scholar
Anderson, S. 1974. Patterns of faunal evolution. Quarterly Review of Biology 49:311332.CrossRefGoogle ScholarPubMed
Balmford, A., Green, M. J. B., and Murray, M. G. 1966. Using higher-taxon richness as a surrogate for species richness—regional tests. Proceedings of the Royal Society of London B 263:12671274.Google Scholar
Barraclough, T. G., Harvey, P. H., and Nee, S. 1995. Sexual selection and taxonomic diversity in passerine birds. Proceedings of the Royal Society of London B 259:211215.Google Scholar
Bock, W. J., and Farrand, J. 1980. The number of species and genera of recent birds: a contribution to comparative systematics. American Museum Novitates 2703:129.Google Scholar
Burlando, B. 1990. The fractal dimension of taxonomic systems. Journal of Theoretical Biology 146:99114.Google Scholar
Cardillo, M., Huxtable, J. S., and Bromham, L. 2003. Geographic range size, life history and rates in Australian mammals. Journal of Evolutionary Biology 16:282288.Google Scholar
Chamberlin, J. C. 1924. The hollow curve of distribution. American Naturalist 58:350374.CrossRefGoogle Scholar
Chu, J., and Adami, C. 1999. A simple explanation for taxon abundance patterns. Proceedings of the National Academy of Sciences USA 96:1501715019.CrossRefGoogle ScholarPubMed
Claridge, M. F. 2010. Species are uniquely real biological entities. Pp. 92109 in Ayala, F. J. and Arp, R., eds. Contemporary debates in philosophy of biology. Wiley-Blackwell, Chichester, U.K. Google Scholar
Clayton, W. D. 1972. Some aspects of the genus concept. KEW Bulletin 27:281287.Google Scholar
Deline, B. 2009. The effects of rarity and abundance distributions on measurements of local morphological disparity. Paleobiology 35:175189.CrossRefGoogle Scholar
Dial, K. P., and Marzluff, J. M. 1989. Nonrandom diversification within taxonomic assemblages. Systematic Zoology 38:2637.Google Scholar
Doyle, J. A. 1977. Patterns of evolution in early angiosperms. Pp. 501–46 in Hallam, A., ed. Patterns of evolution, as illustrated in the fossil record. Elsevier, Amsterdam.Google Scholar
Evans, G. E. 1975. The life of beetles. Hafner, New York.Google Scholar
Feduccia, A. 1977. A model for the evolution of perching birds. Systematics 26:1931.Google Scholar
Feduccia, A. 1979. Comments on the phylogeny of perching birds. Proceedings of the Biological Society Washington 92:689696.Google Scholar
Feduccia, A. 1980. The age of birds. Harvard University Press, Cambridge.Google Scholar
Fisher, R. A., Corbet, A. S., and Williams, C. B. 1943. The relationship between the number of species and the number of individuals in a random sample of an animal population. Journal of Animal Ecology 12:4258.Google Scholar
Foote, M. 1994. Morphological disparity in Ordovician–Devonian crinoids and the early saturation of morphological space. Paleobiology 20:320344.Google Scholar
Foote, M. 1997. Sampling, taxonomic description, and our evolving knowledge of morphological diversity. Paleobiology 23:181206.Google Scholar
Friedman, M. 2010. Explosive morphological diversification of spiny-finned teleost fishes in the aftermath of the end-Cretaceous extinction. Proceedings of the Royal Society of London B 277:16751683.Google Scholar
Gans, C. 1961. The feeding mechanism of snakes and its possible evolution. American Zoologist 1:217227.CrossRefGoogle Scholar
Gaston, K. J., and Blackburn, T. M. 1995. Mapping biodiversity using surrogates for species richness: macro-scales and New World birds. Proceedings of the Royal Society of London B 262:335341.Google Scholar
Hoagland, K. E., and Turner, R. D. 1981. Evolution and adaptive radiation of wood-boring bivalves (Pholadacea). Malacologia 21:111148.Google Scholar
Hodges, S. A., and Arnold, M. L. 1995. Spurring plant diversification—are floral nectar spurs a key innovation? Proceedings of the Royal Society of London B 262:343348.Google Scholar
Hunt, G. 2008. Gradual or pulsed evolution: when should punctuational explanations be preferred? Paleobiology 34:360377.CrossRefGoogle Scholar
Hutchinson, G. E., and MacArthur, R. A. 1959. A theoretical ecological model of size distributions among species of animals. American Naturalist 93:117125.Google Scholar
Ivany, L. C., Brett, C. E., Wall, H. L. B., Wall, P. D., and Handley, J. C. 2009. Relative taxonomic and ecologic stability in Devonian marine faunas of New York State: a test of coordinated stasis. Paleobiology 35:499524.Google Scholar
Kendall, D. G. 1948a. On some modes of population growth leading to R.A. Fisher's logarithmic series distribution. Biometrika 35:615.Google Scholar
Kendall, D. G. 1948b. On the generalized “birth-and-death” process. Annals of Mathematical Statistics 19:115.CrossRefGoogle Scholar
Kochmer, J. P., and Wagner, R. H. 1988. Why are there so many kinds of passerine birds? Because they are small; A reply to Raikow. Systematic Zoology 37:6869.Google Scholar
Krug, A. Z., Jablonski, D., and Valentine, J. W. 2008. Species-genus ratios reflect a global history of diversification and range expansion in marine bivalves. Proceedings of the Royal Society of London B 275:11171123.Google ScholarPubMed
Liem, K. 1973. Evolutionary strategies and morphological innovations: cichlid pharyngeal jaws. Systematic Zoology 22:425–241.Google Scholar
Lombard, R. E., and Wake, D. B. 1976. Tongue evolution in the lungless salamanders, family Plethodontidae. I. Introduction, theory and a general model of dynamics. Journal of Morphology 148:265286.Google Scholar
Lombard, R. E., and Wake, D. B. 1977. Tongue evolution in the lungless salamanders, family Plethodontidae. II. Function and evolutionary diversity. Journal of Morphology 153:3980.Google Scholar
MacArthur, R. H. 1957. On the relative abundances of birds. Proceedings of the National Academy of Sciences USA 43:293295.Google Scholar
MacArthur, R. H., Recher, H. F., and Cody, M. L. 1966. On the relation between habitat selection and species diversity. American Naturalist 100:319332.Google Scholar
Maglio, V. J. 1973. Origin and evolution of the Elephantidae. Transactions of the American Philosophical Society 63:1149.Google Scholar
May, R. M. 1986. The search for patterns in the balance of nature—advances and retreats. Ecology 67:11151126.Google Scholar
McElroy, B., Wilkinson, B. H., and Rothman, E. 2005. Tectonic and topographic framework of political division. Mathematical Geology 37:197206.Google Scholar
McPeek, M. A., and Brown, J. M. 2007. Clade age and not diversification rate explains species richness among animal taxa. American Naturalist 169:E97E106.Google Scholar
Meyer, D. L., and Macurda, D. B. Jr. 1977. Adaptive radiation of the comatulid crinoids. Paleobiology 3:7482.Google Scholar
Minelli, A., Fusco, G., and Sartori, S. 1991. Self-similarity in biological classifications. BioSystems 26:8997.Google Scholar
Mishler, B. D. 2010. Species are not uniquely real biological entities. Pp. 122 in Ayala, F. J. and Arp, R., eds. Contemporary debates in philosophy of biology. Wiley-Blackwell, Chichester, U.K. Google Scholar
Mitra, S., Landel, H., and Pruett-Jones, S. 1996. Species richness covaries with mating system in birds. Auk 113:544551.Google Scholar
Moores, A. O., and Heard, S. B. 1997. Inferring evolutionary processes from phylogenetic tree shape. Quarterly Review of Biology 72:3154.CrossRefGoogle Scholar
Nee, D., Mooers, A. O., and Harvey, P. H. 1992. Tempo and mode of evolution revealed from molecular phylogenies. Proceedings of the National Academy of Sciences USA 89:83228326.Google Scholar
Owens, I. P. F., Bennett, P. M., and Harvey, P. H. 1999. Species richness among birds, body size, life history, sexual selection or ecology? Proceedings of the Royal Society of London B 266:933939.Google Scholar
Raikow, R. J. 1986. Why are there so many kinds of passerine birds? Systematic Zoology 35:255259.Google Scholar
Raup, D. M., Gould, S. J., Schopf, T. J. M., and Simberloff, D. 1973. Stochastic models of phylogeny and the evolution of diversity. Journal of Geology 81:525542.CrossRefGoogle Scholar
Reddingius, J. 1971. Gambling for existence: a discussion of some theoretical problems in animal population ecology. Acta Biotheoretica 20(Suppl.):3208.Google Scholar
Reagan, C. T. 1926. Organic evolution. Pp. 7586 in Report of the British Association for the Advancement of Science, Southampton, 1925.Google Scholar
Roy, K., Jablonski, D., and Valentine, J. W. 1996. Higher taxa in biodiversity studies: patterns from eastern Pacific marine mollusks. Proceedings of the Royal Society of London B 435:16051613.Google Scholar
Schaeffer, B. 1948. The origin of a mammalian ordinal character. Evolution 2:164175.Google Scholar
Schaeffer, B., and Rosen, R. E. 1961. Major adaptive levels in the evolution of the actinopterygian feeding mechanism. American Zoologist 1:187204.Google Scholar
Scotland, R. W., and Sanderson, M. J. 2004. The significance of few versus many in the tree of life. Science 303:643.Google Scholar
Sepkoski, J. J. Jr. 1981. A factor analytic description of the marine fossil record. Paleobiology 7:3653.Google Scholar
Simpson, G. G. 1953. The major features of evolution. Columbia University Press, New York.Google Scholar
Simpson, G. G. 1959. The nature and origin of supraspecific taxa. Cold Spring Harbor Symposia on Quantitative Biology 24:255271.Google Scholar
Smith, A. 1984. Echinoid paleobiology. Allen and Unwin, London.Google Scholar
Stanley, S. M. 1968. Post-Paleozoic adaptive radiation of infaunal bivalve molluscs: a consequence of mantle fusion and siphon formation. Journal of Paleontology 42:214229.Google Scholar
Stanley, S. M. 1973. Effects of competition on rates of evolution, with special reference to bivalve mollusks and mammals. Systematic Zoology 22:486506.Google Scholar
Stanley, S. M. 1977. Trends, rates and patterns of evolution in the Bivalvia. Pp. 209250 in A. Hallam, , ed. Patterns of evolution as illustrated in the fossil record. Elsevier, Amsterdam.Google Scholar
Stanley, S. M., and Newman, W. A. 1980. Competitive exclusion in evolutionary time, the case of the acorn barnacles. Paleobiology 6:173183.Google Scholar
Stuart-Fox, D., and Owens, I. P. F. 2003. Species richness in agamid lizards: chance, body size, sexual selection or ecology? Journal of Evolutionary Biology 16:659669.Google Scholar
Taylor, J. D., Morris, N. J., and Taylor, C. N. 1980. Food specialization and the evolution of predatory prosobranch gastropods. Paleontology 23:375409.Google Scholar
Thomas, G. H., Orme, C. D. L., Davies, R. G., Olson, V. A., Bennett, P. M., Gaston, K. J., Owens, I. P. F., and Blackburn, T. M. 2008. Regional variation in the historical components of global avian species richness. Global Ecology and Biogeography 17:340351.CrossRefGoogle Scholar
Van Valen, L. 1971. Adaptive zones and the orders of mammals. Evolution 25:420428.Google Scholar
Van Valen, L. 1973. Body size and numbers of plants and animals. Evolution 27:2735.Google Scholar
Walters, S. M. 1961. The shaping of angiosperm taxonomy. New Phytologist 60:7484.Google Scholar
Wells, J. W. 1956. Scleractinia. Pp. 328444 in Moore, R. C. Coelenterata. Part F of Moore, R. C., ed. Treatise on invertebrate paleontology. Geological Society of America, New York, and University of Kansas, Lawrence.Google Scholar
Wilkinson, B. H., and Drummond, C. N. 2004. Facies mosaics across the Persian Gulf and around Antigua: stochastic and deterministic products of shallow-water sediment accumulation. Journal of Sedimentary Research 74:513526.Google Scholar
Williams, C. B. 1944. Some applications of the logarithmic series and the index of diversity to ecological problems. Journal of Ecology 32:144.Google Scholar
Williams, C. B. 1964. Patterns in the balance of nature. Academic Press, London.Google Scholar
Willis, J. C. 1922. Age and area. Cambridge University Press, Cambridge.Google Scholar
Wilson, R. W. 1951. Evolution of the early Tertiary rodents. Evolution 5:207215.Google Scholar
Wood, A. E. 1959. Eocene radiation and phylogeny of the rodents. Evolution 13:354361.Google Scholar
Wright, S. 1941. The “age and area” concept extended (Review of “The course of evolution by differentiation or divergent mutation rather than by selections,” by J. C. Willis). Ecology 22:345347.Google Scholar
Yule, G. U. 1924. A mathematical theory of evolution, based on the conclusions of Dr. J. C. Willis. Philosophical Transactions of the Royal Society of London A 213:2187.Google Scholar