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Morphological Disparity: A Primer

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Fossils, Phylogeny, and Form

Part of the book series: Topics in Geobiology ((TGBI,volume 19))

Abstract

It has always been obvious that organisms have properties making them ‘different’ from each other. Historically, taxonomists have sought to register these differences and similarities by assigning species to subjectively-delimited groups within hierarchical classifications. Many current methods in sys-tematics still have a subjective component, and classifications often reflect biases inherent in their construction (Hull 1988).

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References

  • Ackerly, S.C. Kinematic analysis of accretionary shell growth, with examples from brachiopods and molluscs. Paleobiology 1989; 15:147–164.

    Google Scholar 

  • Agnèse, J.F., Teugels, G.G., Galbusera, P., Guyomard, R., and Volckaert, F. Morphometric and genetic characterization of sympatric populations of Ciarías gariepinus and C. anguillaris from Senegal. Journal of Fish Biology 1997; 50:1143–1157.

    Google Scholar 

  • Aldridge, A.E. Brachiopod outline and the importance of the logarithmic spiral. Paleobiology 1998; 24:215–226.

    Google Scholar 

  • Altman, D.G. Practical statistics for medical research. London: Chapman and Hall, 1991.

    Google Scholar 

  • Anderson, T.W. An introduction to multivariate statistical analysis. New York: Wiley, 1958.

    Google Scholar 

  • Anstey, R.L., and Pachut, J.F. Phylogeny, diversity history, and speciation in Paleozoic bryozoans. In New approaches to speciation in the fossil record, D.H. Erwin and R.L. Anstey, eds., p. 239–284. New York: Columbia University Press, 1995.

    Google Scholar 

  • Bachmann, K. Species as units of diversity: an outdated concept. Theory in Biosciences 1998; 117:213–230.

    Google Scholar 

  • Bard, J. The fifth day of creation. Bioessays 1990; 12:303–306.

    Google Scholar 

  • Benton, M.J. Diversification and extinction in the history of life. Science 1995; 268:52–58.

    Google Scholar 

  • Bergström, J. Metazoan evolution around the Precambrian-Cambrian transition. In The early evolution of Metazoa and the significance of problematic taxa, A. M. Simonetta and S. Conway Morris, eds., p. 25–34. Cambridge: Cambridge University Press, 1991.

    Google Scholar 

  • Blackburn, T.M., and Gaston, K.J. Spatial patterns in the species richness of birds in the New World. Ecography 1996; 19:369–376.

    Google Scholar 

  • Blackith, R.E., and Reyment, R.A. Multivariate morphometrics. London: Academic Press, 1971.

    Google Scholar 

  • Bookstein, F.L. The measurement of biological shape and shape change. Berlin: Springer, 1978.

    Google Scholar 

  • Bookstein, F.L. Foundations of morphometrics. Annual Review of Ecology and Systematics 1982; 13:451–70.

    Google Scholar 

  • Bookstein, F.L. Size and shape spaces for landmark data in two dimensions. Statistical Science 1986; 1:181–242.

    Google Scholar 

  • Bookstein, F.L. Describing a craniofacial anomaly: finite element analysis and the biometrics of landmark location. American Journal of Physical Anthropology 1987; 74:495–509.

    Google Scholar 

  • Bookstein, F.L. “Size and shape”: a comment on semantics. Systematic Zoology 1989a; 38:173–180.

    Google Scholar 

  • Bookstein, F.L. Principal warps, thin-plate splines ad the decomposition of deformations. IEEE Transactions in Pattern Analysis in Machine Intelligence 1989b; 11:567–585.

    Google Scholar 

  • Bookstein, F.L. Analytic methods: introduction and overview. In Proceedings of the Michigan morphometrics workshop. Special publication No. 2, F.J. Rohlf and F.L. Bookstein, eds., p. 61–74. Michigan: University of Michigan Museum of Zoology, 1990.

    Google Scholar 

  • Bookstein, F. L. A brief history of the morphometric synthesis. In Contributions to morphometrics. Museo Nacional de Ciencas Naturales 8, L.F. Marcus, E. Bello, and A. García-Valdecasas, eds., p. 18–40. Madrid, 1993.

    Google Scholar 

  • Bookstein, F.L. Can biometrical shape be a homologous character? In Homology: the hierarchical basis of comparative biology, B.K. Hall, ed., p. 197–227. New York: Academic Press, 1994.

    Google Scholar 

  • Bookstein, F.L. Combining the tools of geometric morphometrics. In Advances in morphometrics, L.F. Marcus, M. Corti, A. Loy, G. Naylor, and D.E. Slice, eds., p. 131–151. New York: Plenum, 1996a.

    Google Scholar 

  • Bookstein, F.L. Visualizing group differences in outline shape: methods frombiometrics of landmark points. Lecture Notes in Cioputer Science 1996b; 1131:405–410.

    Google Scholar 

  • Bookstein, F.L., Strauss, R.E., Humphries, J.M., Chernoff, B.C., Elder, R.L., and Smith, G.R. A comment on the uses of Fourier analysis in systematics. Systematic Zoology 1982; 31:85–92.

    Google Scholar 

  • Bookstein, F.L., Chernoff, B.C., Elder, R.L, Humphries, J.M, Smith, G.R., and Strauss, R.E. Morphometrics in evolutionary biology. Academy of Natural Sciences, Philadelphia, Special Publication 1985; 15.

    Google Scholar 

  • Bookstein, F.L., and Sampson, P.D. Statistical models for geometric components of shape change. In Proceedings of the Section on Statistical Graphics p. 18–30. Alexandria, Virginia: American Statistical Association, 1987.

    Google Scholar 

  • Bookstein, F.L., and Reyment, R.A. Microevolution in miocene Brizalina (Foraminifera) studied by canonical variate analysis and analysis of landmarks. Bulletin of Mathematical Biology 1989; 51:657–679.

    Google Scholar 

  • Bowman T.E., and Iliffe, T.M. Mictocaris halope a new unusual peracaridan crustacean from marine caves in Bermuda. Journal of Crustacean Biology 1985; 5:58–73.

    Google Scholar 

  • Briggs, D.E.G., Fortey, R.A., and Wills, M.A. Morphological disparity in the Cambrian. Science 1992a; 256:1670–1673.

    Google Scholar 

  • Briggs, D.E.G., Fortey, R.A., and Wills, M.A. Cambrian and Recent morphological disparity. Science 1992b; 258:1817–1818.

    Google Scholar 

  • Briggs, D.E.G., Fortey, R.A., and Wills, M.A. How big was the Cambrian explosion? In Evolutionary patterns and processes. Linnean Society Symposium Series, D.R. Lees and D. Edwards, eds., p. 33–44. London: Linnean Society of London, 1993.

    Google Scholar 

  • Briggs, J.C. Biotic replacements—extinction or clade interaction? Bioscience 1998; 48:389–395.

    Google Scholar 

  • Brodsky, A.K. The evolution of insect flight. Oxford: Oxford University Press, 1994.

    Google Scholar 

  • Brower, J.C., and Veinus, J. Multivariate analysis of allometry using point coordinates. Journal of Paleontology 1978; 52:1037–1053.

    Google Scholar 

  • Brower, J.C., Cubitt, J.M., Veinus, J., and Morton, M. Principal-components analysis, factor analysis and point coordinates in the study of multivariate allometry. In Geomathematical and petrophysical studies in sedimentology D. Gill, and D.F. Merriam, eds., p. 245–266. Oxford: Pergamon, 1979.

    Google Scholar 

  • Bryant, E.H., and Atchley, W.R. Multivariate statistical methods: within groups covariation. Stroudsburg: Dowden, Hutchinson and Ross, 1975.

    Google Scholar 

  • Burke, R.L., Leuteritz, T.E, and Wolf, A.J. Phylogenetic relationships of emydine turtles. Herpetologia 1996; 52:572–584.

    Google Scholar 

  • Cain, A.J. Variation in the spire index of some coiled gastropod shells and its evolutionary significance. Proceedings of the Royal Sociey of London 1977; B277:377–428.

    Google Scholar 

  • Cain, A.J. Possible ecological significance of variation in shape of Cerion shells with age. Journal of Conchology 1981; 30:305–315.

    Google Scholar 

  • Campbell, N.A., and Atchley, W.R. The geometry of canonical variate analysis. Systematic Zoology 1981; 30:268–280.

    Google Scholar 

  • Campbell, K.S.W., and Marshall, C.R. Rates of evolution among Paleozoic echinoderms. In Rates of Evolution, K.S.W. Campbell and M.F. Day, eds., p. 61–100. London: Allen and Unwin, 1987.

    Google Scholar 

  • Caravello, G., and Tasso, M. An analysis of the spatial distribution of surnames in the Lecco area (Lombardy, Italy). American Journal of Human Biology 1999; 11:305–315.

    Google Scholar 

  • Causton, D.R. A biologist’s advanced mathematics. London: Allen and Unwin, 1987.

    Google Scholar 

  • Chapman, R.E. Conventional Procrustes approaches. In Proceedings of the Michigan morphometrics workshop. Special publication No. 2, F.J. Rohlf and FL. Bookstein, eds. Michigan: University of Michigan Museum of Zoology, 1990.

    Google Scholar 

  • Chatfield, C., and Collins, A.J. Introduction to multivariate analysis. London: Chapman and Hall, 1980.

    Google Scholar 

  • Cheetham, A.H., and Jackson, J.B.C. Process from pattern: tests for selection versus random change in punctuated bryozoan speciation. In New approaches to speciation in the fossil record, D.H. Erwin and R.L. Anstey, eds., p. 184–207. New York: Columbia University Press, 1995.

    Google Scholar 

  • Cheverud, J.M., Dow, M.M., and Leutenegger, W. The quantitative assessment of phylogenetic constraints in comparative analyses: sexual dimorphism in body weight among primates. Evolution 1985; 39:1335–1351.

    Google Scholar 

  • Chou, Y.H. Spatial pattern and spatial autocorrelation. Lecture notes in Computer Science 1995; 988:365–376.

    Google Scholar 

  • Christopher, R.A., and Waters, J.A. Fourier series as a quantitative descriptor of microspore shape. Journal of Paleontology 1974; 48:697–709.

    Google Scholar 

  • Cisne, J.L. Evolution of the world fauna of aquatic free-living arthropods. Evolution 1974; 28:337–366.

    Google Scholar 

  • Clark, P. J., and Evans, EC. Distance to nearest-neighbor as a measure of spatial relationships in populations. Ecology 1954; 35:445–453.

    Google Scholar 

  • Claus, C. Uber den Organismus der Nebaliden und die systematische Stellung der Leptostraken. Arbeiteten aus dem Zoologischen Institut der Universität Wien 1888; 6:1–108.

    Google Scholar 

  • Cohn, P.M. Algebra, Volume 1. 2nd ed. New York: Wiley, 1988.

    Google Scholar 

  • Conway Morris, S. Burgess Shale-type faunas in the context of the “Cambrian explosion”: a review. Journal of the Geological Society of London 1992; 149:631–636.

    Google Scholar 

  • Conway Morris, S. The fossil record and the early evolution of the Metazoa. Nature 1993; 361:219–225.

    Google Scholar 

  • Conway Morris, S. The cuticular structure of the 495-Myr-old type species of the fossil worm Palaeoscolex, P. piscatorum (?Priapulida). Zoological Journal of the Linnean Society 1997; 119:69–82.

    Google Scholar 

  • Conway Morris, S. Metazoan phylogenies: falling into place or falling to pieces? A palaeontological perspective. Current Opinion in Genetics and Development 1998a; 6:662–667.

    Google Scholar 

  • Conway Morris, S. The crucible of creation: the Burgess Shale and the rise of animals. Oxford: Oxford University Press, 1998b.

    Google Scholar 

  • Conway Morris, S. The evolution of diversity in ancient ecosystems: a review. Philosophical Transactions of the Royal Society of London Series B, Biological Sciences 1998c; 353:327–345.

    Google Scholar 

  • Coomes, D.A., Rees, M., and Turnbull, L. Identifying aggregation and association in fully mapped spatial data. Ecology 1999; 80:554–565.

    Google Scholar 

  • Corsi, M., and Crosetti, D. Geographic variation in the grey mullet: a geometric morphometry analysis using partial warp scores. Journal of Fish Biology 1996; 48:255–269.

    Google Scholar 

  • Coutinho, C.C., Seack, J., Vandevyver, G., Borojevic, R., and Muller, E.G. Origin of the metazoan body plan: characterization and functional testing of the promoter of the homeobox gene emh-3 from the freshwater sponge ephydatia muelleri in mouse 3t3 cells. Biological Chemistry 1998; 379:1243–1251.

    Google Scholar 

  • Crampton, J.S. Elliptic fourier shape analysis of fossil bivalves: some practical considerations. Lethaia 1995; 28:179–186.

    Google Scholar 

  • Czaplewski, R.L., Reich, R.M., and Brechtold, W.A. Spatial autocorrelation in growth of undisturbed natural pine stands across Georgia. Forest Science 1994; 40:314–328.

    Google Scholar 

  • David, E.E., and David, C.W. Voronoi polyhedra as a tool for studying solvation structure. Journal of Chemical Physics 1982; 76:4611–4614.

    Google Scholar 

  • Davidson, E.H., Peterson, K.J., and Cameron, R.A. Origin of adult bilaterian body plans: evolution of developmental regulatory mechanisms. Science 1995; 270:1319–1325

    Google Scholar 

  • Davis, J.C. Statistics and data analysis in geology 2nd ed. New York: Wiley, 1986.

    Google Scholar 

  • Deleporte, P. Characters, attributes and tests of evolutionary scenarios. Cladistics 1993; 9:427–432.

    Google Scholar 

  • Derrida, B., and Peliti, L. Evolution in a flat landscape. Bulletin of Mathematical Biology 1991; 53:255–382.

    Google Scholar 

  • Dodson, P. Comparative craniology of the ceratopsia. American Journal of Science 1993; 239A:200–234.

    Google Scholar 

  • Dunn, G., and Everitt, B.S. An introduction to mathematical taxonomy. Cambridge: Cambridge University Press, 1982.

    Google Scholar 

  • Ehrlich, R., Pharr Jr., R.B., and Healy Williams, N. Comments on the validity of Fourier descriptors in systematics: a reply to Bookstein et al. Systematic Zoology 1983; 31:85–92.

    Google Scholar 

  • Ehrlich, R., and Full, W.E. Comments on “Relationships among eigenshape analysis, Fourier analysis, and analysis of coordinates” by F James Rohlf. Mathematical Geology 1986; 18:855–857.

    Google Scholar 

  • Ehrlich, R., and Weinberg, R. An exact method for characterization of grain shape. Journal of Sedimentary Petrology 1970; 40:205–212.

    Google Scholar 

  • Engel, H. A least squares method for estimation of Bezier-curves and surfaces and its applicability to multivariate analysis. Mathematical Biosciences 1986; 79:155–170.

    Google Scholar 

  • Erwin, D. H. The origin of bodyplans. American Zoologist 1999; 39:17–629.

    Google Scholar 

  • Erwin, D. H., Valentine, J.W., and Jablonski, D. The origin of animal body plans. American Scientist 1997; 85:126–137.

    Google Scholar 

  • Evans, D.G., Schweitzer, P.N., and Hanna, M. Parametric cubic splines and geologic shape descriptions. Mathematical Geology 1985; 17:611–624.

    Google Scholar 

  • Farris, J.S. A successive approximations approach to character weighting. Systematic Zoology 1969; 18:374–385.

    Google Scholar 

  • Farris, J.S. Phylogenetic classification of fossils with Recent species. Systematic Zoology 1976; 25:271–282.

    Google Scholar 

  • Farris, J.S. On the phenetic approach to vertebrate classification. In Patterns in vertebrate classification, M.K. Hecht, P.C. Goody, and B.M. Hecht., eds., p. 823–850. New York: Plenum, 1977.

    Google Scholar 

  • Feller, W. An introduction to probability theory and its applications. Volume I. Third Edition, revised. New York: Wiley, 1968.

    Google Scholar 

  • Felsenstein, J. Phylogenies and the comparative method. American Naturalist 1985a; 125:1–15.

    Google Scholar 

  • Felsenstein, J. Confidence limits on phylogenies: an approach using the bootstrap. Evolution 1985b; 39:783–791.

    Google Scholar 

  • Felsenstein, J., and Kishino, H. Is there something wrong with the bootstrap on phylogenies?—a reply. Systematic Biology 1993; 42:193–200.

    Google Scholar 

  • Ferson, S., Rohlf, F.J., and Koehn, R.K. Measuring shape variation in two dimensional outlines. Systematic Zoology 1985; 34:59–68.

    Google Scholar 

  • Fink, W.L., and Zelditch, M.L. Phylogenetic analysis and ontogenetic shape transformations: a reassessment of the piranha genus Pygocentrus (Teleostei). Systematic Biology 1995; 44:344–361.

    Google Scholar 

  • Fisher, R. A. The utilization of multiple measurements in taxonomic problems. Annals of Eugenics 1936; 7:179–188.

    Google Scholar 

  • Foote, M. Survivorship analysis of Cambrian and Ordovician trilobites. Paleobiology 1988; 14:258–271.

    Google Scholar 

  • Foote, M. Perimeter-based fourier analysis: a new morphometric method applied to the trilo-bite cranidium. Journal of Paleontology 1989; 63:880–885.

    Google Scholar 

  • Foote, M. Nearest-neighbor analysis of trilobite morphospace. Systematic Zoology 1990; 39:371–382.

    Google Scholar 

  • Foote, M. Morphological and taxonomic diversity in a clade’s history: the blastoid record and stochastic simulations. Contributions from the Museum of Paleontology, The University of Michigan 1991a; 28:101–140.

    Google Scholar 

  • Foote, M. Morphologic patterns of diversification: examples from trilobites. Palaeontology 1991b; 34:461–485.

    Google Scholar 

  • Foote, M. Analysis of morphological data. In Analytical Paleobiology. Short courses in paleontology, number 4, N.L Gilinsky, and P.W. Signor, eds., p. 59–86. Knoxville, Tennessee: Paleontological Society, 1991c.

    Google Scholar 

  • Foote, M. Rarefaction analysis of morphological and taxonomic diversity. Paleobiology 1992a; 18:17–29.

    Google Scholar 

  • Foote, M. Paleozoic record of morphological diversity in blastozoan echinoderms. Proceedings of the National Academy of Science, USA 1992b; 89:7325–7329.

    Google Scholar 

  • Foote, M. Discordance and concordance between morphological and taxonomic diversity. Paleobiology 1993a; 19:185–204.

    Google Scholar 

  • Foote, M. Contributions of individual taxa to overall morphological disparity. Paleobiology 1993b; 19:403–419.

    Google Scholar 

  • Foote, M. Morphology of Ordovician-Devonian crinoids. Contributions to the Museum of Paleontology, University of Michigan 1994a; 29:1–39.

    Google Scholar 

  • Foote, M. Morpholgical disparity in Ordovician-Devonian crinoids and the early saturation of morphological space. Paleobiology 1994b; 20:320–344.

    Google Scholar 

  • Foote, M. Morphological diversification of paleozoic crinoids. Paleobiology 1995; 21:273–299.

    Google Scholar 

  • Foote, M. Perspective: evolutionary patterns in the fossil record Evolution 1996; 50:1–11.

    Google Scholar 

  • Foote, M. The evolution of morphological diversity. Annual Review of Ecology and Systematics 1997a; 28:129–152.

    Google Scholar 

  • Foote, M. Sampling, taxonomic description, and our evolving knowledge of morphological diversity. Paleobiology 1997b; 23:181–206.

    Google Scholar 

  • Foote, M. Estimating taxonomic durations and preservation probability. Paleobiology 1997c; 23:278–300.

    Google Scholar 

  • Foote, M. Morphological diversity in the evolutionary radiation of Paleozoic and post-Paleozoic crinoids. Paleobiology Memoirs (supplement to Paleobiology 1999; 25(2)).

    Google Scholar 

  • Foote, M. and Gould, S.J. Cambrian and Recent morphological disparity. Science 1992; 258:1816.

    Google Scholar 

  • Forey, P.L. Cladistics: a practical course in systematics. Oxford: Clarendon Press, 1992.

    Google Scholar 

  • Fortey, R.A., and Owens, R.M. Evolutionary radiations in the Trilobita. In Major evolutionary radiations. Systematics Association Special Volume No. 42, P.D. Taylor and G.P. Larwood, eds., p. 139–164. Oxford: Clarendon Press, 1990.

    Google Scholar 

  • Fortey, R.A., Briggs, D.E.G., and Wills, M.A. The Cambrian evolutionary ‘explosion’: decoupling cladogenesis from morphological disparity. Biological Journal of the Linnean Society 1996; 57:13–33.

    Google Scholar 

  • Fortey, R.A., Briggs, D.E.G., and Wills, M.A. The Cambrian evolutionary ‘explosion’ recalibrated. Bioessays 1997; 5:429–434.

    Google Scholar 

  • Fricke, H. Living coelacanths: values, eco-ethics and human Responsibility. Marine Ecology-Progress Series 1997; 161:1–15.

    Google Scholar 

  • Full, W.E., and Ehrlich, R. Fundamental problems associated with “eigenshape analysis” and similar “factor” analysis procedures. Journal of Mathematical Geology 1986; 18:451–463.

    Google Scholar 

  • Gavrilets, S., Li H., and Vose, M.D. Rapid parapatric speciation on holey adaptive landscapes. Proceedings of the Royal Society of London, Series B 1998; 265:1483–1489.

    Google Scholar 

  • Gavrilets, S. Dynamics of clade diversification on the morphological hypercube. Proceedings of the Royal Society of London, Series B 1999; 266:817–824.

    Google Scholar 

  • Gellon, G., and McGinnis, W. Shaping animal body plans in development and evoltution by modulation of Hox expression patterns. Bioessays 1998; 20:116–125.

    Google Scholar 

  • Ghiselin, M.T. Summary of our present knowledge of metazoan phylogeny. In The hierarchy of life. Molecules and moprhology in phylogenetic analysis, B. Fernholm, K. Bremer, and H. Jörnvall, eds., p. 261–272. Amsterdam: Excerpta Medica/Elsevier, 1989.

    Google Scholar 

  • Gilinksy, N.L. Stabilizing species selection in the Archaeogastropoda. Paleobiology 1981; 7:316–331.

    Google Scholar 

  • Gingerich, P.D. Rates of evolution: effects of time and temporal scaling. Science 1983; 22:158–161.

    Google Scholar 

  • Goodall, C.R. Procrustes methods in the statistical analysis of shape. Journal of the Royal Statistical Society 1991; B53:285–339.

    Google Scholar 

  • Gordon, A.D. Classification. Monographs on applied probability and statistics. London: Chapman and Hall, 1991.

    Google Scholar 

  • Gordon, M.S., and Olson, E.C. Invasions of the land. New York: Columbia University Press, 1995.

    Google Scholar 

  • Gould, S.J. Morphological channeling by structural constraint—convergence in styles of dwarfing and gigantism in cerion, with a description of 2 new fossil species and a report on the discovery of the largest Cerion. Paleobiology 1984; 10:172–194.

    Google Scholar 

  • Gould, S.J. Wonderful life. The burgess shale and the nature of history. New York: Norton, 1989a.

    Google Scholar 

  • Gould, S.J. A developmental constraint in Cerion with comments on the definition and interpretation of constraint in evolution. Evolution 1989b; 43:516–539.

    Google Scholar 

  • Gould, S.J. The disparity of the burgess shale arthropod fauna and the limits of cladistic analysis: why we must strive to quantify morphospace. Paleobiology 1991; 17:411–423.

    Google Scholar 

  • Gould, S.J. and Eldredge, N. Punctuated equilibria: the tempo and mode of evolution reconsidered. Palaeobiology 1977; 3:115–151.

    Google Scholar 

  • Gould, S.J., Raup, D.M., Sepkoski Jr., J.J., Schopf, T.J.M, and Simberloff, D.S. The shape of evolution: a comparison of real and random clades. Paleobiology 1977; 3:23–40.

    Google Scholar 

  • Gould, S.J., Gilinsky, N.L., and German, R.Z. Asymmetry of lineages and the direction of evolutionary time. Science 1987; 236:1437–1441.

    Google Scholar 

  • Gould, S.J., and Young, N.D. The consequences of being different: sinistral coiling in Cerion. Evolution 1985; 39:1364–1379.

    Google Scholar 

  • Gower, J.C. Some distance properties of latent roots and vectors used in multivariate analysis. Biometrika 1966; 53:325–338.

    Google Scholar 

  • Gower, J.C. Multivariate analysis and multidimensional geometry. The Statistician 1967; 17:13–28.

    Google Scholar 

  • Gower, J.C. A general coefficient of similarity and some of its properties. Biometrics 1971; 27:857–874.

    Google Scholar 

  • Gower, J.C. Multivariate analysis: ordination, multidimensional scaling and allied topics. In Handbook of applied mathematics, Vol VI: Statistics, E. Lloyd, ed., p. 727–781. New York: Wiley, 1984.

    Google Scholar 

  • Gower, J.C., and Ross, G.J.S. Minimum spanning trees and single-linkage cluster analysis. Applied Statistics 1969; 18:54–64.

    Google Scholar 

  • Grafen, A. The phylogenetic regression. Philosophical Transactions of the Royal Society of London 1989; 326:119–156.

    Google Scholar 

  • Haidane, J.B.S. Suggestions as to the quantitative measurement of rates of evolution. Evolution 1949; 3:51–56.

    Google Scholar 

  • Hall, B.K. Bauplane, phylotypic stages, and constraint—why there are so few types of animals. Evolutionary Biology 1996; 29:215–261.

    Google Scholar 

  • Harris, R.J. A primer of multivariate statistics. New York: Academic Press, 1975.

    Google Scholar 

  • Harvey, P.H., and Clutton-Brock, T.H. Primate home-range size, metabolic needs and ecology. Behavioural Ecology and Sociobiology 1981; 8:151–155.

    Google Scholar 

  • Harvey, PH., and Clutton-Brock, T.H. Life history variation in primates. Evolution 1985; 39:559–581.

    Google Scholar 

  • Harvey, PH., and Pagel, M.D. The comparative method in evolutionary biology. Oxford: Oxford University Press, 1991.

    Google Scholar 

  • Haszprunar, G. On the origin and evolution of major gastropod groups, with special reference to the Streptoneura. Journal of Molluscan Studies 1988; 54:367–441.

    Google Scholar 

  • Hennig, W. Phylogenetic systematics. Urbana: University of Illinois Press, 1966.

    Google Scholar 

  • Hertel, F., and Lehman, N. A randomised nearest-neighbor approach for assessment of character displacement: the vulture guild as a model. Journal of Theoretical Biology 1998; 190:51–61.

    Google Scholar 

  • Hickman, CS. Theoretical design space: a new program for the analysis of structural diversity. N. Jb. Geol. Palaontol. Abh. 1993; 190:169–182.

    Google Scholar 

  • Hickman, CS., and McLean, J.H. Systematic revision and suprageneric classification of Trochacean gastropods. Science Series No. 35, Natural History Museum of Los Angeles County, 1990.

    Google Scholar 

  • Higgins, L.E., and Rankin, M.A. Different pathways in arthropod postembryonic development. Evolution 1996; 50:573–582.

    Google Scholar 

  • Hills, M. Book review. Applied Statistics 1977; 26:339–340.

    Google Scholar 

  • Holdener, E.J., and Hageman, S.J. Implications of intracolonial variation in a paleozoic bryozoan. Journal of Paleontology 1998; 72:809–818.

    Google Scholar 

  • Horowitz, A.S., Blakely, R.F., and Macurda Jr., D.B. Taxonomic survivorship within the Blastoidea (Echinodermata). Journal of Paleontology 1985; 59:543–550.

    Google Scholar 

  • Huelsenbeck, J.P. Performance of phylogenetic methods in simulation. Systematic Biology 1995; 44:17–48.

    Google Scholar 

  • Huey, R.B., and E.R. Pianka, E.R. Temporal separation of activity and interspecific dietry overlap. In Lizard ecology, R.B. Huey, E.R. Pianka and W. Schoener, eds., p. 281–290. Cambridge: Harvard University Press, 1983.

    Google Scholar 

  • Hull, D.L. Science as a process: an evolutionary account of the social and conceptual development of science. Chicago: University of Chicago Press, 1988.

    Google Scholar 

  • Hunter, J.R Key innovations and the ecology of macroevolution. Trends In Ecology & Evolution 1998; 13:31–36.

    Google Scholar 

  • Hutchings, M.J., and Discombe, R.J. The direction of spatial pattern in plant populations. Journal of Biogeography 1986; 13:225–236.

    Google Scholar 

  • Huxley, J.S. Problems of relative growth. London: Methuen, 1932.

    Google Scholar 

  • Jackson, J.B.C., and Cheetham, A.H. Phylogenetic reconstruction and the tempo of speciation in cheilostome Bryozoa. Paleobiology 1994; 20:407–423.

    Google Scholar 

  • James, F.C., and McCulloch, C.E. Multivariate analysis in ecology and systematics: panacea or Pandora’s box? Annual Review of Ecology and Systematics 1990; 21:129–166.

    Google Scholar 

  • Jardine, N., and Sibson, R. Mathematical Taxonomy. London: Wiley, 1971.

    Google Scholar 

  • Jeffers, J.N.R. Two case studies in the application of principal component analysis. Applied Statistics 1967; 16:225–236.

    Google Scholar 

  • Jenner, R.A. Metazoan phylogeny as a tool in evolutionary biology: current problems and discrepancies in application. Belgian Journal of Zoology 1999; 129:245–262.

    Google Scholar 

  • Jenner, R.A., and Schram, F.R. The grand game of metazoan phylogeny: rules and strategies. Biological Reviews of the Cambridge Philosophical Society 1999; 74:121–142.

    Google Scholar 

  • Johnston, M.R., Tabachnick, R.E., and Bookstein, F.L. Landmark-based morphometrics of spiral accretionary growth. Paleobiology 1991; 17:19–37.

    Google Scholar 

  • Joliffe, I.T. Principal component analysis. New York: Springer Verlag, 1986.

    Google Scholar 

  • Jöreskog, K.G, Klovan, J.E., and Reyment, R.E. Geological factor analysis. Amsterdam: Elsevier, 1976.

    Google Scholar 

  • Kaesler, R.L., and Waters, J.A. Fourier analysis of the ostracod margin. Bulletin of the Geological Society of America 1972; 83:1169–1178.

    Google Scholar 

  • Kardong, K.V. Vertebrates: comparative anatomy, function, evolution. Dubuque: Brown, 1995.

    Google Scholar 

  • Kauffman, S.A. The origins of order. Oxford: Oxford University Press, 1993.

    Google Scholar 

  • Kemp, T.S. Fossils and Evolution. Oxford: Oxford University Press, 1999.

    Google Scholar 

  • Kendall, D.G. The statistics of shape. In Interpreting multivariate data, V. Barnett, ed., p. 75–80. New York: Wiley, 1981.

    Google Scholar 

  • Kendall, D.G. Shape-manifolds, Procrustean metrics and complex projective spaces. Bulletin of the London Mathematical Society 1984; 16:81–121.

    Google Scholar 

  • Kendrick, D.C. Computer modeling of crinoid calyx morphologies, and comparisons with real forms. Geological Society of America Abstracts with Programs 1993; 25, A103.

    Google Scholar 

  • Kenkel, N.C., Hoskins, J.A., and Hoskins, W.D. Edge effects in the use of area polygons to study competition. Ecology 1989; 70:272–274.

    Google Scholar 

  • Kitchell, J.A., and MacLeod, N. Macroevolutionary interpretations of symmetry and synchroneity in the fossil record. Science 1988; 240:1190–1193.

    Google Scholar 

  • Klapper G., and Foster Jr., C.T. Quantification of outlines in Frasnian (Upper Devonian) platform conodonts. Canadian Journal of Earth Sciences 1986; 23:1214–1222.

    Google Scholar 

  • Knebe, A. and Muller, V. Formation of groups and clusters of galaxies. Astronomy and Astrophysics 1999; 341:1–7.

    Google Scholar 

  • Kovach, W. L. MVSP users’ manual. Aberystwyth: Cambrian Printers, 1990.

    Google Scholar 

  • Kowalewski, M., Dyreson, E., Marcot, J.D., Vargas, J.A., Flessa, K.W., and Hallman, D.P. Phenetic discrimination of biometric simpletons: paleobiological implications of morphospecies in the lingulide brachiopod Glottidia. Paleobiology 1997; 23:444–469.

    Google Scholar 

  • Labadie, L.V., and Palmer, A.R. Pronounced heterochely in the ghost shrimp, Neotrypaea californiensis (Decapoda: Thalassinidea: Callianassidae): allometry, inferred function and development. Journal of Zoology 1996; 240:659–675.

    Google Scholar 

  • Labandeira, C.C., and Hughes, N.C. Biometry of the late Cambrian trilobite genus Dikelocephalus and its implications for trilobite systematics. Journal of Paleontology 1994; 3:492–517.

    Google Scholar 

  • Lipscombe, D.L. Parsimony, homology and the analysis of multistate characters. Cladistics 1992; 8:45–65.

    Google Scholar 

  • Little, C. The colonisation of land: origins and adaptations of terrestrial animals. Cambridge: Cambridge University Press, 1983.

    Google Scholar 

  • Little, C.T.S., and Benton, M.J. Early Jurassic mass extinction—a global long-term event. Geology 1995; 23:495–498.

    Google Scholar 

  • Løvtrup, S. The phylogeny of the Vertebrata. London: Wiley, 1977.

    Google Scholar 

  • Lohman, G.P. Eigenshape analysis of microfossils: a general morphometric procedure for describing changes in shape. Mathematical Geology 1983; 15:659–672.

    Google Scholar 

  • Lohman, G.P, and Schweitzer, P.N. On eigenshape analysis. In Proceedings of the Michigan morphometrics workshop. Special publication No. 2, F.J. Rohlf and F.L. Bookstein, eds., p. 145–166. Michigan: University of Michigan Museum of Zoology, 1990.

    Google Scholar 

  • Lupia, R. Discordant morphological disparity and taxonomic diversity during the Cretaceous angiosperm radiation: North American pollen record. Paleobiology 1999; 25:1–28.

    Google Scholar 

  • Lynch, J.D. The gauge of speciation: on the frequencies of different modes of speciation. In Speciation and its consequences, D. Otte and J. Endler, eds., p. 527–553. Sunderland: Sinauer, 1989.

    Google Scholar 

  • Lynch, J.M., Wood, C.G., and Luboga, S.A. Geometric morphometrics in primatology: craniofacial variation Homo sapiens and Pan troglodytes. Folia Primatologica 1996; 67:15–39.

    Google Scholar 

  • Lynch, M. Methods for the analysis of comparative data in evolutionary biology. Evolution 1991; 45:1065–1080.

    Google Scholar 

  • MacLeod, N. Generalising and extending the eigenshape method of shape space visualisation and analysis. Paleobiology 1999; 25:107–138.

    Google Scholar 

  • MacLeod, N., and Carr, T.R. Morphometrics and the analysis of shape in conodonts. In Conodonts: investigative techniques and applications, R.L. Austin, ed., p. 168–187. Chichester, England: Ellis Horwood, 1987.

    Google Scholar 

  • MacLeod, N., and Rose, K.D. Inferring locomotor behaviour in Paleogene mammals via eigenshape analysis. American Journal of Science 1993; 293-A:300–355.

    Google Scholar 

  • Manly, B.F.J. Multivariate statistical methods. London: Chapman and Hall, 1986.

    Google Scholar 

  • Marcus, L.F. Variation in selected skeletal elements of the fossil remains of Myotragus balearicus a Pleistocene bovid from Mallorca. Acta Zoologica Academiae Scientarium Hungaricae 1998; 44:113–137.

    Google Scholar 

  • Mardia, K.V., Kent, J.T., and Bibby, J.M. Multivariate analysis. London: Academic Press, 1979.

    Google Scholar 

  • Marshall, C.R. Confidence intervals on stratigraphic ranges. Paleobiology 1990; 16:1–10.

    Google Scholar 

  • Marshall, C.R. Confidence intervals on stratigraphic ranges: partial relaxation of the assumption of randomly distributed fossil horizons. Paleobiology 1994; 20:459–469.

    Google Scholar 

  • Martins, E.P, and Hansen, T.F. Phylogenies and the comparative method: a general approach to incorporating phylogenetic information into the analysis of interspecific data. American Naturalist 1997; 149:646–667.

    Google Scholar 

  • Mayr, E. Animal species and evolution. New York: Columbia Universiy Press, 1963.

    Google Scholar 

  • Meacham, CA. Phylogenetic-relationships at the basal radiation of angiosperms—further study by probability of character compatibility. Systematic Botany 1994; 19:506–522.

    Google Scholar 

  • Meglitsch, P.A., and Schram, F.R. Invertebrate zoology 3rd ed. Oxford: Oxford University Press, 1991.

    Google Scholar 

  • McGhee, J. Jr. Theoretical morphgology: the concept and its applications. In Analytical paleobiology. Short courses in paleontology 4, p. 87–102. Knoxville: The Paleontological Society, 1991.

    Google Scholar 

  • McKinney, M.L. Extinction vulnerability and selectivity: combining ecological and paleontological views. Annual Review of Ecology and Systematics 1997; 28:495–516.

    Google Scholar 

  • McShea, D.W. Arguments, tests, and the Burgess Shale—a commentary on the debate. Paleobiology 1993; 19:399–402.

    Google Scholar 

  • McShea, D.W. Possible largest-scale trends in organismal evolution: eight “Live Hypotheses.” Annual review of ecology and systematics 1998; 29:293–318.

    Google Scholar 

  • Meacham, C.A. Phylogenetic-relationships at the basal radiation of angiosperms—further study by probability of character compatibility. Systematic Botany 1994; 19:506–522.

    Google Scholar 

  • Metschnikov, E. The history of the development of Nebalia. Zapiski Imperatorskoi Akademii Nauk, St.-Petersburg 1968; 13:1–48.

    Google Scholar 

  • Mikhail, E.M. Observations and least squares. New York: IEP-Dunn-Donnelly, 1976.

    Google Scholar 

  • Miller, A.I., and Foote, M. Calibrating the Ordovician Radiation of marine life: implications for Phanerozoic diversity trends. Paleobiology 1996; 22:304–309.

    Google Scholar 

  • Moessner, R., and Jain, B. Angular cross-correlation of galaxies: a probe of gravitational lensing by large-scale structure. Monthly Notices of the Royal Astronomical Society 1998; 294:L18-L24.

    Google Scholar 

  • Moore, J., and Wilmer, P. Convergent evolution in invertebrates. Biological Reviews o the Cambridge Philosophical Society 1997; 72:1–60.

    Google Scholar 

  • Moss, M.L., Skalak, R., Patel, H., Sen, K., Moss-Salentijn, L., Shinozuka, M., and Vilmann, H. Finite element method modeling of craniofacial growth. American Journal of Orthodontics 1985; 87:453–472.

    Google Scholar 

  • Naylor, G.J.P. Can partial warp scores be used as cladistic characters? In Advances in morphometrics, L.F. Marcus, M. Corti, A. Loy, G. Naylor and D.E. Slice, eds., p. 519–530. New York: Plenum, 1996.

    Google Scholar 

  • Neff, N.A., and Marcus, L.F. A survey of multivariate methods for systematics. New York: Privately published, 1980.

    Google Scholar 

  • Nielsen, C Animal evolution. Interrelationships of the living phyla. Oxford: Oxford University Press, 1995.

    Google Scholar 

  • Nielsen, C Animal classification: then and now. Bulletin de la Societe Zoologique de France 1997; 122:243–253.

    Google Scholar 

  • Nielsen, C. Morphological approaches to phylogeny. American Zoologist 1998; 38:942–952.

    Google Scholar 

  • Niklas, K.J. Applications of finite element analysis to problems in plant morphology. Annals of Botany 1977; 41:133–153.

    Google Scholar 

  • Nixon, K.C., and Wheeler, Q.D. 1992. Measures of phylogenetic diversity. In Extinction and phylogeny M.J. Novacek and Q.D. Wheeler, eds., p. 216–234. New York: Columbia University Press,.

    Google Scholar 

  • Norberg, U.M. Vertebrate flight: mechanics, physiology, morphology, ecology and evolution. Berlin: Springer-Verlag, 1990.

    Google Scholar 

  • Okamoto, T. Analysis of heteromorph ammonoids by differential geometry. Palaeontology 1988; 31:35–52.

    Google Scholar 

  • Pachut, J.F, Anstey, R.L., and Horowitz, A.S. The H.A. Nicholson collection of paleozoic stenolaemate bryozoans: comparison of cladistic and phenetic classifications. Journal of Paleontology 1994; 68:978–994.

    Google Scholar 

  • Pagel, M.D., and Harvey, PH. Comparative methods for examining adaptation on evolutionary models. Folia Primatologica 1989; 53:203–220.

    Google Scholar 

  • Pearson, P.N. Apomorphy distribution is an important aspect of cladogram symmetry. Systematic Biology 1999; 48:399–406.

    Google Scholar 

  • Peebles, P.J.E. The large-scale structure of the Universe. New Jersey: Princeton University Press, 1980.

    Google Scholar 

  • Pielou, E.C. The interpretation of ecological data: a primer on classification and ordination. New York: Wiley, 1984.

    Google Scholar 

  • Pogue, M.G., and Mickevich, M.F. Character definitions and character state delineation—the bête-noire of phylogenetic inference. Cladistics 1990; 6:319–361.

    Google Scholar 

  • Purves, A., and Garland, T. Polytomies in comparative analyses of continuous characters. Systematic Biology 1993; 42:569–575.

    Google Scholar 

  • Rae, T.C. The logical basis for the use of continuous characters in Phylogenetic systematics. Cladistics 1998; 14:221–228.

    Google Scholar 

  • Raup, D.M. Geometric analysis of shell coiling: general problems. Journal of Paleontology 1966; 40:1178–1190.

    Google Scholar 

  • Raup, D.M. Geometric analysis of shell coiling: coiling in ammonoids. Journal of Paleontology 1967; 41:43–65.

    Google Scholar 

  • Raup, D.M. Cohort analysis of generic survivorship. Paleobiology 1978; 4:1–16.

    Google Scholar 

  • Raup, D.M. Biological extinction in earth history. Science 1986; 231:1528–1533.

    Google Scholar 

  • Raup, D.M., and Gould, S.J. Stochastic simulation and evolution of morphology—towards a nomothetic paleontology. Systematic Zoology 1974; 23:305–322.

    Google Scholar 

  • Raup, D.M., Gould, S.J., Schopf, T.J.M., and Simberloff, D.S. Stochastic models of phylogeny and the evolution of diversity. Journal of Geology 1973; 81:525–542.

    Google Scholar 

  • Raup, D.M., and Gould, S.J. Stochastic simulation and evolution of morphology—towards a nomothetic paleontology. Systematic Zoology 1974; 23:305–322.

    Google Scholar 

  • Raup, D.M, and Sepkoski, Jr., J.J. Periodic extinction of families and genera. Science 1986; 231:833–836.

    Google Scholar 

  • Ray, T.S. Application of eigenshape analysis to second order leaf shape ontogeny in Syngonium podophyllum (Araceae). In Proceedings of the Michigan morphometrics workshop. Special publication No. 2, F.J. Rohlf and EL. Bookstein, eds., p. 201–213. Michigan: University of Michigan Museum of Zoology, 1990.

    Google Scholar 

  • Ray, T.S. Landmark eigenshape analysis: homologous contours: leaf shape in Syngonium podophyllum (Araceae). American Journal of Botany 1992; 79:69–76.

    Google Scholar 

  • Remane, A. Die Grundlagen des naturlichen Systems der verleichenden Anatomie und Phylogenetik 2. Leipzig: Geest and Portig K.-G., 1956.

    Google Scholar 

  • Reyment, R.A. On the interpretation of the smallest principal component. Bulletin of the Geological institutions of the University of Uppsala NS 1979; 8, 1–4. (Translation of the original in publications of Akademia Nauk, USSR).

    Google Scholar 

  • Reyment, R.A. Morphological variation in time of a Paleocene species of Cytherella. In Fossil and Recent Ostracoda, R.H. Bate, E. Robinson, and L.M. Sheppard, eds., p. 165–168. Chichester: Ellis Horwood, 1982a.

    Google Scholar 

  • Reyment, R.A. Phenotypic evolution in a Cretaceous foraminifer. Evolution 1982b; 36:1182–1199.

    Google Scholar 

  • Reyment, R.A. Phenotypic evolution in micro-fossils. Evolutionary Biology 1983; 16:209–254.

    Google Scholar 

  • Reyment, R.A. Multivariate morphometrics and analysis of shape. Mathematical Geology 1985; 17:591–609.

    Google Scholar 

  • Reyment, R.A. Reification of classical multivariate statistical analysis in morphometry. In Proceedings of the Michigan morphometrics workshop. Special publication No. 2, F.J. Rohlf and F.J. Bookstein, eds., p. 122–144. Michigan: University of Michigan Museum of Zoology, 1990.

    Google Scholar 

  • Reyment, R.A. Multidimensional Paleobiology. Oxford: Pergamon, 1991.

    Google Scholar 

  • Reyment, R.A. Evolution of shape in oligocene and miocene Notocarinovalva (Ostracoda, Crustacea): a multivariate statistical study. Bulletin of Mathematical Biology 1997a; 59:63–87.

    Google Scholar 

  • Reyment, R.A. Multiple group principal component analysis. Mathematical Geology 1997b; 29:1–16

    Google Scholar 

  • Reyment, R.A., and Banfield, C.F. Growth-free canonical variates applied to fossil foraminifers. Bulletin of the Geological Institutions of the University of Uppsala NS 1976; 7:11–21.

    Google Scholar 

  • Reyment, R.A., Blackith, R.E., and Campbell, N.A. Multivariate morphometrics, 2nd ed. London: Academic Press, 1984.

    Google Scholar 

  • Richtsmeier, J.T., and Cheverud, J.M. Finite element scaling analysis of human craniofacial growth. Journal of Craniofacial Genetics and Developmental Biology 1986; 6:289–323.

    Google Scholar 

  • Ricklefs, R.E., and Miles, D.B. Ecological and evolutionary inferences from morphology: an ecological perspective. In PEcological morphology,.C. Wainwright and S.M. Reilly, eds., p. 13–41. Chicago: University of Chicago Press, 1994.

    Google Scholar 

  • Ricklefs, R.E., and O’Rourke, K. Aspect diversity in moths: a temperate-tropical comparison. Evolution 1974; 29:313–324.

    Google Scholar 

  • Riedel, R. Order in living organisms. New York: Wiley, 1978.

    Google Scholar 

  • Riedel, R., and Jefferies, R.P.S. Order in living organisms: a systems analysis of evolution. Chichester, England: Wiley, 1978.

    Google Scholar 

  • Ripley, B.D. Statistical inference for spatial processes. Cambridge: Cambridge University Press, 1988.

    Google Scholar 

  • Rohlf, F.J. Relationships among eigenshape analysis, Fourier analysis and analysis of coordinates. Mathematical Geology 1986; 18:845–854.

    Google Scholar 

  • Rohlf, F.J. Morphometrics. Annual Review of Ecology and Systematics 1990a; 21:299–316.

    Google Scholar 

  • Rohlf, F.J. The analysis of shape variation using ordinations of fitted functions. In Ordinations in the study of morphology, evolution and systematics of insects: applications and quantitative genetic rationales J.T. Sorensen and R.G. Foottit, eds. Amsterdam: Elsevier, 1990b.

    Google Scholar 

  • Rohlf, F.J. On applications of geometric morphometrics to studies of ontogeny and phylogeny. Systematic Biology 1998; 47:147–158.

    Google Scholar 

  • Rohlf, F.J., and Archie, J.W. Least-squares mapping using interpoint distances. Ecology 1978; 59:126–132.

    Google Scholar 

  • Rohlf, F.J., and Archie, J.W. The comparison of Fourier methods for the description of wing shape in mosquitoes (Diptera: Culicidae). Systematic Zoology 1984; 33:302–317.

    Google Scholar 

  • Rohlf, F J., and Slice, D. Extension of the Procrustes method for the optimal superimposition of landmarks. Systematic Biology 1990; 39:40–59.

    Google Scholar 

  • Rohlf, E.J., Loy, A., and Corti, M. Morphometry analysis of old world talpidae (mammalia, insectívora) using partial-warp scores. Systematic Biology 1996; 45:344–362.

    Google Scholar 

  • Ross, A.J.,and Jarzembowski, E.A. Arthropoda (Hexapoda; Insecta). In The fossil record 2, M. J. Benton, ed., p. 363–426. London: Chapman and Hall, 1993.

    Google Scholar 

  • Roukema, B.F., VallsGaboud, D., Mobahser, B., and Bajtlik, S. Monthly Notices of the Royal Astronomical Society 1999; 305:151–165.

    Google Scholar 

  • Roy, K., and Foote, M. Morphological approaches to mesuring biodiversity. Trends in Ecology and Evolution 1997; 12:277–281.

    Google Scholar 

  • Sampson, P.D. Dental arch shape: a statistical analysis using conic sections. American Journal of Orthodontics 1981; 79:535–548.

    Google Scholar 

  • Sanders, H.L., Hessler, R.R., and Garner, S.P. Hirsutia bathyalis a new unusual deep-sea benthic peracaridan crustacean from the tropical Atlantic. Journal of Crustacean Biology 1985 5:30–57.

    Google Scholar 

  • Saunders, W.B., and Swan, A.R.H. Morphology and morphologic diversity of mid-carboniferous (namurian) ammonoids in time and space. Paleobiology 1984; 10:195–228.

    Google Scholar 

  • Schaefer, S.A., and Lauder, G.V. Testing historical hypotheses of morphological change: bio-mechanical decoupling in loricarioid catfishes. Evolution 1996; 50:1661–1675.

    Google Scholar 

  • Schank, J.C., and Wimsatt, W.C. Generative entrenchment and evolution. Philosophy of Science Association 1986; 2:33–60.

    Google Scholar 

  • Schram, F.R. On the classification of Eumalacostraca. Journal of Paleontology 1981; 55:126–137.

    Google Scholar 

  • Schram, F.R. Remipedia and crustacean phylogeny. In Crustacean phylogeny, F.R. Schram, ed., p. 23–28. Rotterdam: Balkema, 1983.

    Google Scholar 

  • Schram, F.R. Relationships within eumalacostracan Crustacea. Transactions of The San Diego Society of Natural History 1984; 20:301–312.

    Google Scholar 

  • Schram, F.R. Crustacea. Oxford: Oxford University Press, 1986.

    Google Scholar 

  • Schudy, R.B., and Ballard, D.H. A computer model for extracting moving heart surfaces from four-dimensional cardiac ultrasound. Proceedings of the Sixth Conference for Computer-Aided Applications in Radiology 1979, 366–376.

    Google Scholar 

  • Schweitzer, P.N., and Lohman, G.P. Life-history and the evolution of ontogeny in the ostracod genus Cyprideis. Paleobiology 1990; 16:107–125.

    Google Scholar 

  • Scott, G.H. The value of outline processing in the biometry and systematics of fossils. Palaeontology 1980; 23:757–768.

    Google Scholar 

  • Scott-Ram, N.R. Transformed cladistics, taxonomy and evolution. Cambridge: Cambridge University Press, 1990.

    Google Scholar 

  • Sepkoski, J.J. Biodiversity: past, present, and future. Journal of Paleontology 1997; 71:533–539.

    Google Scholar 

  • Sepkoski, J.J., and Miller, A.I. Analysing diversification through time. Trends in Ecology & Evolution 1998; 13:158–159.

    Google Scholar 

  • Sereno, P. Definitions in phylogenetic taxonomy: critique and rationale. Systematic Biology 1999; 48:329–351.

    Google Scholar 

  • Skalak, R., Dasgupta, G., Moss, M.L., Otten, E., Dullemeijer, P., and Vilmann, H. A conceptual framework for the analytical description of growth. Journal of Theoretical Biology 1982; 94:555–577.

    Google Scholar 

  • Shepherd, U.L. A comparison of species diversity and morphological diversity across the North American latitudinal gradient. Journal of Biogeography 1998; 25:19–29.

    Google Scholar 

  • Siegel, A.E Robust regression analysis using repeated medians. Biometrika 1982; 69:242–244.

    Google Scholar 

  • Siegel, A.E, and Benson, R.H. A robust comparison of biological shapes. Biometrics 1982; 38:341–350.

    Google Scholar 

  • Simpson, G.G. Principles of animal taxonomy. New York: Columbia University Press, 1961.

    Google Scholar 

  • Singh, G.D., McNamara, J.A., and Lozanoff, S. Thin-plate spline analysis of the cranial base in subjects with Class III malocclusion. European Journal of Orthodontics 1997; 19:341–353.

    Google Scholar 

  • Slatkin, M. Fixation probabilities and fixation times in a subdivided population. Evolution 1981; 35:477–488.

    Google Scholar 

  • Smith, A.B. Echinoderm phylogeny—morphology and molecules approach accord. Trends in Ecology and Evolution 1992; 7:224–229.

    Google Scholar 

  • Smith, A.B. Systematics and the fossil record: documenting evolutionary patterns. Boston: Black well Scientific, 1994.

    Google Scholar 

  • Smith, A.B., and Littlewood, D.J.T. Paleontological data and molecular phylogenetic analysis. Paleobiology 1994; 20:259–273.

    Google Scholar 

  • Sneath, P.H.A. Trend-surface analysis of transformation grids. Journal of Zoology 1967; 151:65–122.

    Google Scholar 

  • Sneath, P.H.A., and Sokal, R.R. Numerical taxonomy. San Francisco: Freeman, 1973.

    Google Scholar 

  • Soltan, R.R., and Sneath, P.H.A. Principles of numerical taxonomy. San Francisco: Freeman, 1963.

    Google Scholar 

  • Soltan, A.M., and Kudlicki, A.S. Nonuniform distribution of galaxies in very large-scale. Acta Astronomica 1994; 44:21–31.

    Google Scholar 

  • Sosa, V., and DeLuna, E. Morphometrics and character state recognition for cladistic analyses in the Bletia reflexa complex (Orchidaceae). Plant Systematics and Evolution 1998; 212:185–213.

    Google Scholar 

  • Spearman, C. ‘General intelligence,’ objectively determined and measured. American Journal of Psychology 1904; 15:201–293.

    Google Scholar 

  • Stauffer, D.F., Garten, E.O., and Steinhorst, R.K. A comparison of principal components from real and random data. Ecology 1985; 66:1693–1698.

    Google Scholar 

  • Stearns, S.C. The influence of size and phylogeny on patterns of covariation among life-history traits in mammals. Oikos 1983; 41:173–187.

    Google Scholar 

  • Stone, J.R. Computer-simulated shell size and shape variation in the Caribbean land snail genus cerion: a test of geometrical constraints. Evolution 1996; 50:341–347.

    Google Scholar 

  • Stone, J.R. The spirit of D’arcy Thompson dwells in emirical morphospace. Mathematical Bioscience 1997; 142:13–30.

    Google Scholar 

  • Stone, J.R. Ontogenic tracks and evolutionary vestiges in morphospace. Biological Journal of The Linnean Society 1998; 64:223–238.

    Google Scholar 

  • Strait, D.S., Moniz, M.A., and Strait, RT. Finite mixture coding: a new approach to coding continuous characters. Systematic Biology 1996; 45:67–78.

    Google Scholar 

  • Strauch, J.G. Use of homoplastic characters in compatibility analysis. Systematic Zoology 1984; 33:167–177.

    Google Scholar 

  • Strauss, R.E., and Bookstein, F.L. The truss: body form reconstructions in morphometrics. Systematic Zoology 1982; 31:113–135.

    Google Scholar 

  • Strauss, D. and Sadler, RM. Classical confidence-intervals and Bayesian probability estimates for ends of local taxon ranges. Mathematical Geology 1989; 21:411–421.

    Google Scholar 

  • Stubblefield, C.J. Evolution in trilobites. Quarterly Journal of the Geological Society of London 1960; 115:145–162.

    Google Scholar 

  • Swiderski, D.L., Zelditch, M.L., and Fink, W.L. Why morphometrics is not special: Coding quantitative data for phylogenetic analysis. Systematic Biology 1998; 47:508–519.

    Google Scholar 

  • Swofford, D.L. PAUP—a computer-program for phylogenetic inference using maximum parsimony. Journal of General Physiology 1993; 102, 9.

    Google Scholar 

  • Temple, J.T. Standardisation of trilobite orientation and measurement. Fossils and Strata 1973; 4:461–467.

    Google Scholar 

  • Temple, J.T. The use of factor analysis in geology. Mathematical Geology 1978; 10:379–390.

    Google Scholar 

  • Temple, J.T. A numerical taxonomic study of the Trinucleidae (Trilobita) from the British Isles. Transactions of the Royal Society of Edinburgh 1980; 71:213–233.

    Google Scholar 

  • Temple, J.T. Ordination of palaeontological data. Miscellaneous Papers of the Geological Society of London 1982a; 14:224–236.

    Google Scholar 

  • Temple, J.T. An empirical study of robustness of nearest-neighbor relations in numerical taxonomy. Mathematical Biology 1982b; 14:675–678.

    Google Scholar 

  • Temple, J.T. The progress of quantitative methods in paleontology. Paleontology 1992; 35:475–484.

    Google Scholar 

  • Temple, J.T., and Tripp, R.P. An investigation of the Encrinurinae (Trilobita) by numerical taxonomic methods. Transactions of the Royal Society of Edinburgh 1979; 70:223–250.

    Google Scholar 

  • Temple, J.T., and Wu Hong-Ji. Numerical taxonomy of Encrinurinae (Trilobita): additional species from China and elsewhere. Transactions of the Royal Society of Edinburgh 1990; 81:209–219.

    Google Scholar 

  • Thomas, R.D.K., and Reif, W.-E. Design elements employed in the construction of animal skeletons. In Constructional morphology and evolution, N. Schmidt-Kittler and G. Vogel, eds., p. 283–294. Berlin: Springer, 1991.

    Google Scholar 

  • Thomas, R.D.K., and Reif., W.-E. The skeleton space: a finite set of organic designs. Evolution 1993; 47:341–360.

    Google Scholar 

  • Thomson, K.S. The crossopterygian—a living fossil and its discovery. Ethology 1996; 192:792.

    Google Scholar 

  • Tobler, W.R. Comparison of plane forms. Geographical Analysis 1978; 10:154–162.

    Google Scholar 

  • Torgerson, W.S. Multidimensional scaling. I. Theory and method. Psychometrica 1952; 17:401–419.

    Google Scholar 

  • Turechek, WW., and Madden, L.V. Spatial pattern analysis of strawberry leaf blight in perennial production systems. Phytopathology 1999; 89:421–433.

    Google Scholar 

  • Tursch, B. Spiral growth: the ‘museum of all shells’ revisited. Journal of Molluscan Studies 1997; 63:547–554.

    Google Scholar 

  • Valentine, J.W. Evolutionary paleoecology of the marine biosphere. New Jersey: Prentice Hall, 1973.

    Google Scholar 

  • Valentine, J.W. Adaptive strategy and the origin of grades and ground plans. American Zoologist 1975; 15:391–404.

    Google Scholar 

  • Valentine, J.W., Collins, A.G., and Meyer, C.P. Morphological complexity increase in metazoans. Paleobiology 1994; 20:131–142.

    Google Scholar 

  • Valentine, J.W., Erwin, D.H., and Jablonski, D. Developmental evolution of metazoan bodyplans: the fossil evidence. Developmental Biology 1996; 173:373–381.

    Google Scholar 

  • Valentine, J.W, Jablonski, D., and Erwin, D.H. Fossils, molecules and embryos: new perspectives on the Cambrian explosion. Development 1999; 126:851–859.

    Google Scholar 

  • Van Valen, L. Multivariate structural statistics in natural history. Journal of Theoretical Biology 1974; 45:235–247.

    Google Scholar 

  • Vonvaupelklein, J.C. Phyletic gradualism versus punctuated equilibria—why case histories do not suffice. Acta Biotheoretica 1995; 43:259–278.

    Google Scholar 

  • Wägele J.W. Review of methodological problems of ‘computer cladistics’ exemplified with a case study on isopod phylogeny (Crustacea: Isopoda). Zeitschrift fur zoologische Systematik und Evolutionsforschung 1994; 32:87–107.

    Google Scholar 

  • Wagner, A. Does evolutionary plasticity evolve? Evolution 1996; 50:1008–1023.

    Google Scholar 

  • Wagner, P.J. Phylogenetics of the early Paleozoic Archaeogastropoda. In Fifth North American Paleontological Convention, S. Lidgard and P.R. Crane, eds., p. 300. Knoxville, Tennessee: The Paleontological Society, 1992.

    Google Scholar 

  • Wagner, P.J. Testing evolutionary constraint hypothesis with early Paleozoic gastropods. Paleobiology 1995a; 21:248–272.

    Google Scholar 

  • Wagner, P.J. Morphologic diversification of early Paleozoic “archaegastropods.” In Origin and evolutionary radiation of the Mollusca J. Taylor, ed., p. 161–169. Oxford: Oxford University Press, 1995b.

    Google Scholar 

  • Wagner, P.J. Patterns of morphologic diversification among the Rostroconchia. Paleobiology 1997; 23:115–150.

    Google Scholar 

  • Wagner, P. J., and Erwin, D.H. Phylogenetic patterns as tests of speciation models. In New approaches to speciation in the fossil record D.H. Erwin and R.L. Anstey, eds., p. 87–122. New York: Columbia University Press, 1995.

    Google Scholar 

  • Watson, G.S. Comment on D.G. Kendall “A survey of the statistical theory of shape.” Statistical Science 1989; 4:113–115.

    Google Scholar 

  • Whittaker, R.H. Communities and ecosystems. Second edition. New York: Macmillan, 1975.

    Google Scholar 

  • Whittington, H.B. Phylogeny and distribution of Ordovician trilobites. Journal of Paleontology 1966; 40:696–737.

    Google Scholar 

  • Whittington, H.B. The Burgess Shale. New Haven: Yale University Press, 1985.

    Google Scholar 

  • Wiley, E.O. Phylogenetics: the theory and practice of phylogenetic systematics. New York: Wiley, 1981.

    Google Scholar 

  • Wilkins, A.S. Canalization: a molecular genetic perspective. Bioessays 1997; 19:257–262.

    Google Scholar 

  • Wilkinson, M. Consensus, compatibility and missing data in phylogenetic inference. Ph.D. Thesis, University of Bristol, 1992.

    Google Scholar 

  • Wilkinson, M. Weights and ranks in numerical phylogenetics. Cladistics 1994a; 10:321–329.

    Google Scholar 

  • Williams, PH., Humphries, C.J., and Vane-Wright, R.I. Measuring biodiversity: taxonomic relatedness for conservation priorities. Australian Systematic Botany 1991; 4:665–679.

    Google Scholar 

  • Wills, M.A. Crustacean disparity through the phanerozoic: comparing morphological and stratigraphic data. Biological Journal of The Linnean Society 1998a; 65:455–500.

    Google Scholar 

  • Wills, M.A. Cambrian and Recent disparity: the picture from priapulids. Paleobiology 1998b; 24:177–199.

    Google Scholar 

  • Wills, M.A. Congruence between phylogeny and stratigraphy: randomization tests and the gap excess ratio. Systematic Biology 1999; 48:559–580.

    Google Scholar 

  • Wills, M.A., Briggs, D.E.G., and Fortey, R.A. Disparity as an evolutionary index: a comparison of Cambrian and recent arthropods. Paleobiology 1994; 20:93–130.

    Google Scholar 

  • Wills, M.A., Briggs, D.E.G., and Fortey, R.A., and Wilkinson, M. The significance of fossils in understanding arthropod evolution. Verhandlungen der Deutschen Zoologischen Gesellschaft 1995; 57:13–33.

    Google Scholar 

  • Wills, M.A., Briggs, D.E.G., and Fortey, R.A.. Evolutionary correlates of arthropod tagmosis: scrambled legs. In Arthropod Relationships. Systematics Association, special volume 55, R.A. Fortey & R. Thomas, eds., p. 57–65. London: Chapman & Hall, 1998.

    Google Scholar 

  • Wimsatt, W.C., and Schänk, J.C. Two constraints on the evolution of complex adaptations and the means for their avoidance. In Evolutionary progress, M. H. Nitecki, ed., p. 231–237. Chicago: University of Chicago Press, 1988.

    Google Scholar 

  • Xu, Z.-B., Zhang, J.S., and Leung, Y.W An approximate algorithm for computing multidimensional convex hulls. Applied Mathematics and Computation 1998; 94:193–226.

    Google Scholar 

  • Yokoyama, S., Zhang, H., Radlwimmer, KB., and Blow, N.S. Adaptive evolution of color vision of the comoran coelacanth (Latimeria chalumnae). Proceedings of the National Academy of Sciences of the United States of America 1999; 96:6279–6284.

    Google Scholar 

  • Zahn, C.T., and Roskies, R.Z. Fourier descriptions for plane closed curves. IEEE Transactions, Computers 1972; C-21:269–281.

    Google Scholar 

  • Zelditch, M.L., and Fink, W.L. Allometry and developmental integration of body growth in a piranha, Pygocentrus nattereri (Teleostei: Ostariophysi). Journal of Morphology 1995; 223:341–355.

    Google Scholar 

  • Zelditch, M.L., Fink, W.L., and Swiderski, D.L. Morphometrics, homology, and phylogenetics: quantified characters as synapomorphies. Systematic Biology 1995; 44:179–189.

    Google Scholar 

  • Zweers, G.A., Berge, J.C.V, and Berkhoudt, H. Evolutionary patterns of avian trophic diversification. Zoology-Analysis of Complex Systems 1997; 100:25–57.

    Google Scholar 

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  1. Department of Biology and Biochemistry, University of Bath, South Building, Claverton Down, BA2 7AY, Bath, UK

    Matthew A. Wills

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  1. University of Iowa, Iowa City, Iowa, USA

    Jonathan M. Adrain

  2. Australian Museum, Sydney, New South Wales, Australia

    Gregory D. Edgecombe

  3. University of Kansas, Lawrence, Kansas, USA

    Bruce S. Lieberman

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Wills, M.A. (2001). Morphological Disparity: A Primer. In: Adrain, J.M., Edgecombe, G.D., Lieberman, B.S. (eds) Fossils, Phylogeny, and Form. Topics in Geobiology, vol 19. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-0571-6_4

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