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Random Models in Paleobiology

Published online by Cambridge University Press:  17 July 2017

Philip W. Signor*
Affiliation:
Department of Geology, University of California, Davis, CA 95616

Extract

The fossil record is replete with patterns. Nearly two centuries of intensive paleontological research has produced a vast number of apparent patterns: stratigraphic and temporal distributions of taxa, paleogeographic distributions, paleoecological relationships, patterns of co-occurrence, morphology and morphological variation, and so forth. Many of these patterns reflect the interplay of important intrinsic processes operating within the biosphere and extrinsic influences acting from without. Others, however, follow from the ordinary processes of everyday life and require no special explanation. How, then, are inquiring paleontologists to separate meaningful patterns from the meaningless? For the most part, the selection of patterns appropriate for further study and explication has remained a matter of subjective judgment.

Type
Research Article
Copyright
Copyright © 1991 Paleontological Society 

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References

Bailey, N.J.F. 1964. The Elements of Stochastic Processes, with Applications to the Natural Sciences. Wiley, New York, 249 p.Google Scholar
Bookstein, F.L. 1987. Random walk and the existence of evolutionary rates. Paleobiology, 13:446464.CrossRefGoogle Scholar
Cohen, J.E. 1976. Irreproducible results and the breeding of pigs (or nondegenerate limit random variables in biology). Bioscience, 26:391394.CrossRefGoogle Scholar
Conner, E.F. 1986. Time series analysis in the fossil record, p. 119147. In Raup, D.M. and Jablonski, D. (eds.), Patterns and Processes in the History of Life. Springer-Verlag, Berlin.CrossRefGoogle Scholar
Feller, W. 1968. An Introduction to Probability Theory and its Applications. Volume 1. John Wiley and Sons, New York, 509 p.Google Scholar
Flessa, K.W., and Jablonski, D. 1985. Declining Phanerozoic background extinction rates: effect of taxonomic structure? Nature, 313:216218.Google Scholar
Gilinsky, N.L., and Bambach, R.K. 1986. The evolutionary bootstrap: a new approach to the study of taxonomic diversity. Paleobiology, 12:251268.CrossRefGoogle Scholar
Gilinsky, N.L., and Bambach, R.K. 1987. Asymmetrical patterns of origination and extinction in higher taxa. Paleobiology, 13:427445.CrossRefGoogle Scholar
Gould, S.J., Gilinsky, N.L., and German, R.Z. 1987. Asymmetry of lineages and the direction of evolutionary time. Science, 236:14371441.CrossRefGoogle ScholarPubMed
Gould, S.J., Raup, D.M., Sepkoski, J.J. Jr., Schopf, T.J.M., and Simerloff, D.S. 1977. The shape of evolution: A comparison of real and random clades. Paleobiology, 3:2340.Google Scholar
Haq, B.U. and Van Eysinga, F.W.B. 1987. Geological Time Table. Elsevier Scientific Publishing Company, Amsterdam.Google Scholar
Hardy, M.C. 1985. Testing for adaptive radiation: The Ptychaspid (Trilobita) biomere of the Late Cambrian, p. 379397. In Valentine, J.W. (ed.), Phanerozoic Diversity Patterns: Profiles in Macroevolution. Princeton University Press, Princeton.Google Scholar
Harland, W.B., Armstrong, R.L., Cox, A.V., Craig, L.E., Smith, A.G., and Smith, D.G. 1989. A Geologic Time Scale 1989. Cambridge University Press, Cambridge, 263 p.Google Scholar
Kendall, D.G. 1948. On the generalized “birth-death” process. Annals of Mathematics and Statistics, 19:115.CrossRefGoogle Scholar
Kitchell, J.A., and Macleod, N. 1988. Macroevolutionary interpretations of symmetry and synchroneity in the fossil record. Science, 240:11901193.CrossRefGoogle ScholarPubMed
Malmgren, B.A., Berggren, W., and Lohmann, G.P. 1983. Evidence for punctuated gradualism in the Late Neogene Globorotalia tumida lineage of planktonic foraminifera. Paleobiology, 9:377389.CrossRefGoogle Scholar
Marshall, C.R. 1990. Confidence intervals on stratigraphic ranges. Paleobiology, 16:110.CrossRefGoogle Scholar
McGhee, G.R. Jr. 1988. The Late Devonian extinction event: evidence for abrupt ecosystem collapse. Paleobiology, 14:250257.Google Scholar
Miller, A.I. and Sepkoski, J.J. Jr. 1988. Modeling bivalve diversification: the effect of interaction on a macroevolutionary system. Paleobiology, 14:364370.Google Scholar
Palmer, A.R. 1983. The Decade of North American Geology 1983 Geologic Time Scale. Geology, 11:503504.Google Scholar
Raup, D.M. 1977a. Probabilistic models in evolutionary paleobiology. American Scientist, 65:5057.Google Scholar
Raup, D.M. 1977b. Stochastic models in evolutionary palaeontology. p. 5978. In Hallam, A. (ed.), Patterns of Evolution, as Illustrated by the Fossil Record. Elsevier Scientific Publishing Company, Amsterdam.CrossRefGoogle Scholar
Raup, D.M. 1981. Extinction: bad luck or bad genes? Acta Geologica Hispanica, 16:2533.Google Scholar
Raup, D.M. 1985. Mathematical models of cladogenesis. Paleobiology, 11:4252.Google Scholar
Raup, D.M., and Crick, R.E. 1981. Evolution of single characters in the Jurassic ammonite Kosmoceras. Paleobiology, 7:200215.CrossRefGoogle Scholar
Raup, D.M., and Gould, S.J. 1974. Stochastic simulation and the evolution of morphology- toward a nomothetic paleontology. Systematic Zoology, 23:305322.CrossRefGoogle Scholar
Raup, D.M., Schopf, T.J.M., and Simberloff, D.S. 1973. Stochastic models of phylogeny and the evolution of diversity. Journal of Geology, 81:525542.Google Scholar
Raup, D.M., and Schopf, T.J.M. 1978. Stochastic models in paleontology: A Primer. Short course notes for the workshop on “Species as Particles in Space and Time,” held at the U. S. National Museum, June 5–16, 1978.Google Scholar
Raup, D.M., and Sepkoski, J.J. Jr. 1982. Mass extinctions in the marine fossil record. Science, 215:15011502.Google Scholar
Sepkoski, J.J. Jr., Bambach, R.K., Raup, D.M., and Valentine, J.W. 1981. Phanerozoic marine diversity and the fossil record. Nature, 293:435437.CrossRefGoogle Scholar
Signor, P.W. 1990. The geologic history of diversity. Annual Reviews of Ecology and Systematics, 21:509539.Google Scholar
Springer, M.S. 1990. The effect of random range truncations on patterns of evolution in the fossil record. Paleobiology, 16:512520.CrossRefGoogle Scholar
Stanley, S.M. 1975. A theory of evolution above the species level. Proceedings of the National Academy of Sciences (U.S.A.), 72:646650.Google Scholar
Stanley, S.M. 1979. Macroevolution: Pattern and Process. W. H. Freeman Co., San Francisco, 332 p.Google Scholar
Stanley, S.M., Signor, P.W., Lidgard, S., and Karr, A.F. 1981. Natural clades differ from “random” clades: simulations and analyses. Paleobiology, 7:115127.CrossRefGoogle Scholar
Stoyan, D. 1980. Estimation of transition rates of inhomogeneous birth-death processes with a paleontological application. Elecktronische Informationsverarbeitung und Kybernetik, 16:647649.Google Scholar
Thackeray, J.F. 1990. Rates of extinction in marine invertebrates: further comparison between background and mass extinction. Paleobiology, 16:2224.CrossRefGoogle Scholar
Ward, P.D. and Signor, P.W. 1985. Evolutionary patterns of Jurassic and Cretaceous ammonites: an analysis of clade shape, p. 399418. In Valentine, J.W. (ed.), Phanerozoic Diversity Patterns: Profiles in Macroevolution. Princeton University Press, Princeton.Google Scholar
Wilson, M.V.H. 1988. Is there a characteristic rate of radiation for the insects? Paleobiology, 9:7985.CrossRefGoogle Scholar