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Temporal variation in extinction risk and temporal scaling of extinction metrics

Published online by Cambridge University Press:  08 February 2016

Mike Foote
Mike Foote*
Affiliation:
Museum of Paleontology and Department of Geological Sciences, University of Michigan, Ann Arbor, Michigan 48109-1079
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Abstract

Many areas of paleobiological research require reliable extinction metrics. Branching-and-extinction simulations and data on Phanerozoic marine families and genera are used to investigate the relationship between interval length and commonly used extinction metrics. Normalization of extinction metrics for interval length is problematic, even when interval length is known without error, because normalization implicitly assumes some model of variation in extinction risk within an interval. If extinction risk within an interval were constant, or if it varied but played no role in the definition of stratigraphic intervals, then Van Valen's time-normalized extinction metric would provide a measure of average extinction risk that is effectively unbiased by interval length. When extinction risk varies greatly within an interval and interval boundaries are drawn at times of heavy extinction, extinction metrics that normalize for interval length are negatively correlated with interval length. Despite its intuitive appeal, the per-taxon extinction rate (proportional extinction per million years) is biased by interval length under a wide range of extinction models.

Empirically, time-normalized extinction metrics for Phanerozoic families and genera are negatively correlated with interval length. This is consistent with an extinction model in which many times of very low risk are punctuated by a few times of very high risk which in turn determine stage boundaries. Origination and extinction patterns are similar, but origination intensity varies less among stages than extinction intensity. This observation has at least two plausible explanations: that origination episodes are more protracted than extinction episodes, and that biologic groups do not respond in unison to origination opportunities the way they seem to respond during extinction events. For families and genera, there is enough variation in extinction intensity among stages that stage length can be ignored when studying certain extinction patterns over the entire Phanerozoic.

Type
Research Article
Information
Paleobiology , Volume 20 , Issue 4 , Fall 1994 , pp. 424 - 444
Copyright
Copyright © The Paleontological Society 

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References

Literature Cited

Bambach, R. K., and Gilinsky, N. L. 1986. Perspectives on the distribution of origination and extinction during the Phanerozoic. Geological Society of America Abstracts with Programs 18:534.Google Scholar
Benton, M. J. 1985. Mass extinction among non-marine tetrapods. Nature (London) 316:811–814.CrossRefGoogle Scholar
Benton, M. J., ed. 1993. The fossil record 2. Chapman and Hall, London.Google Scholar
Bowring, S. A., Grotzinger, J. P., Isachsen, C. E., Knoll, A. H., Pelechaty, S. M., and Kolosov, P. 1993. Calibrating rates of Early Cambrian evolution. Science 261:1293–1298.CrossRefGoogle ScholarPubMed
Boyajian, G. E. 1986. Phanerozoic trends in background extinction: consequence of an aging fauna. Geology 14:955–958.2.0.CO;2>CrossRefGoogle Scholar
Boyajian, G. E. 1991. Taxon age and selectivity of extinction. Paleobiology 17:49–57.CrossRefGoogle Scholar
Collins, L. S. 1989. Evolutionary rates of a rapid radiation: the Paleogene planktic Foraminifera. Palaios 4:251–263.CrossRefGoogle Scholar
Feller, W. 1968. An introduction to probability theory and its applications, Vol. 1, 3d ed.Wiley, New York.Google Scholar
Feller, W. 1971. An introduction to probability theory and its applications, Vol. 2, 2d ed.Wiley, New York.Google Scholar
Foote, M. 1988. Survivorship analysis of Cambrian and Ordovician trilobites. Paleobiology 14:258–271.CrossRefGoogle Scholar
Gilinsky, N. L. 1991. The pace of taxonomic evolution. Pp. 157–174in Gilinsky, N. L. and Signor, P. W., eds. Analytical paleobiology. Short courses in paleontology, no. 4. The Paleontological Society, Knoxville, Tenn.Google Scholar
Gilinsky, N. L., and Bambach, R. K. 1987. Asymmetrical patterns of origination and extinction in higher taxa. Paleobiology 13:427–445.CrossRefGoogle Scholar
Gilinsky, N. L., and Good, I. J. 1991. Probabilities of origination, persistence, and extinction of families of marine invertebrate life. Paleobiology 17:145–167.CrossRefGoogle Scholar
Gingerich, P. D. 1983. Rates of evolution: effects of time and temporal scaling. Science 222:159–161.CrossRefGoogle ScholarPubMed
Gingerich, P. D. 1987. Extinction of Phanerozoic marine families. Geological Society of America Abstracts with Programs 19:677.Google Scholar
Harland, W. B., Armstrong, R. L., Cox, A. V., Craig, L. E., Smith, A. G., and Smith, D. G. 1990. A geologic time scale 1989. Cambridge University Press.Google Scholar
Harper, C. W. Jr. 1975. Standing diversity of fossil groups in successive intervals of geologic time: a new measure. Journal of Paleontology 49:752–757.Google Scholar
Hoffman, A. 1985. Patterns of family extinction depend on definition and geological timescale. Nature (London) 315:659–662.CrossRefGoogle Scholar
Holland, C. H. 1986. Does the golden spike still glitter? Journal of the Geological Society, London 143:3–21.CrossRefGoogle Scholar
Jablonski, D., and Bottjer, D. J. 1991. Environmental patterns in the origins of higher taxa: the post-Paleozoic fossil record. Science 252:1831–1833.CrossRefGoogle ScholarPubMed
Kendall, D. G. 1948. On the generalized “birth-death” process. Annals of Mathematical Statistics 19:1–15.CrossRefGoogle Scholar
Kitchell, J. A., and Pena, D. 1984. Periodicity of extinctions in the geologic past: deterministic versus stochastic explanations. Science 226:689–692.CrossRefGoogle ScholarPubMed
McLaren, D. J. 1986. Abrupt extinctions. Pp. 37–46in Elliott, D. K., ed. Dynamics of extinction. Wiley, New York.Google Scholar
McShea, D. W., and Raup, D. M. 1986. Completeness of the geological record. Journal of Geology 94:569–574.CrossRefGoogle ScholarPubMed
Newell, N. D. 1967. Revolutions in the history of life. Geological Society of America Special Paper 89:63–91.CrossRefGoogle Scholar
Pearson, P. N. 1992. Survivorship analysis of fossil taxa when real-time extinction rates vary: the Paleogene planktonic foraminifera. Paleobiology 18:115–131.CrossRefGoogle Scholar
Pease, C. M. 1992. On the declining extinction and origination rates of fossil taxa. Paleobiology 18:89–92.CrossRefGoogle Scholar
Quinn, J. F. 1983. Mass extinction in the fossil record. Science 219:1239–1240.CrossRefGoogle Scholar
Quinn, J. F. 1987. On the statistical detection of cycles in extinctions in the marine fossil record. Paleobiology 13:465–478.CrossRefGoogle Scholar
Raup, D. M. 1975. Taxonomic survivorship curves and Van Valen's law. Paleobiology 1:82–96.CrossRefGoogle Scholar
Raup, D. M. 1978. Cohort analysis of generic survivorship. Paleobiology 4:1–15.CrossRefGoogle Scholar
Raup, D. M. 1979. Size of the Permo-Triassic bottleneck and its evolutionary implications. Science 206:217–218.CrossRefGoogle ScholarPubMed
Raup, D. M. 1985. Mathematical models of cladogenesis. Paleobiology 11:42–52.CrossRefGoogle Scholar
Raup, D. M. 1986. Biological extinction in Earth history. Science 231:1528–1533.CrossRefGoogle ScholarPubMed
Raup, D. M. 1988. Testing the fossil record for evolutionary progress. Pp. 293–317in Nitecki, M. H., ed. Evolutionary progress. University of Chicago Press.Google Scholar
Raup, D. M. 1990. Impact as a general cause of extinction; a feasibility test. Geological Society of America Special Paper 247:27–32.CrossRefGoogle Scholar
Raup, D. M. 1991. A kill curve for Phanerozoic marine species. Paleobiology 17:37–48.CrossRefGoogle ScholarPubMed
Raup, D. M., and Boyajian, G. E. 1988. Patterns of generic extinction in the fossil record. Paleobiology 14:109–126.CrossRefGoogle ScholarPubMed
Raup, D. M., and Marshall, L. G. 1980. Variation between groups in evolutionary rates: a statistical test of significance. Paleobiology 6:9–23.CrossRefGoogle Scholar
Raup, D. M., and Sepkoski, J. J. Jr. 1982. Mass extinctions in the marine fossil record. Science 215:1501–1503.CrossRefGoogle ScholarPubMed
Raup, D. M., 1984. Periodicity of extinction in the geologic past. Proceedings of the National Academy of Sciences, U.S.A. 81:801–805.CrossRefGoogle ScholarPubMed
Raup, D. M., 1986. Periodic extinctions of families and genera. Science 231:833–836.CrossRefGoogle ScholarPubMed
Raup, D. M., Gould, S. J., Schopf, T. J. M., and Simberloff, D. S. 1973. Stochastic models of phylogeny and the evolution of diversity. Journal of Geology 81:525–542.CrossRefGoogle Scholar
Raup, D. M., Sepkoski, J. J. Jr., and Stigler, S. M. 1983. Mass extinction in the fossil record [reply to Quinn]. Science 219:1240–1241.CrossRefGoogle Scholar
Sadler, P. M. 1981. Sediment accumulation rates and the completeness of stratigraphic sections. Journal of Geology 89:569–584.CrossRefGoogle Scholar
Sepkoski, J. J. Jr. 1986. Phanerozoic overview of mass extinction. Pp. 277–295in Raup, D. M. and Jablonski, D., eds. Patterns and processes in the history of life. Springer, Berlin.CrossRefGoogle Scholar
Sepkoski, J. J. Jr. 1989. Periodicity in extinction and the problem of catastrophism in the history of life. Journal of the Geological Society, London 146:7–19.CrossRefGoogle ScholarPubMed
Sepkoski, J. J. Jr. 1990. The taxonomic structure of periodic extinction. Geological Society of America Special Paper 257:33–44.CrossRefGoogle Scholar
Sepkoski, J. J. Jr. 1991. Population biology models in macroevolution. Pp. 136–156in Gilinsky, N. L. and Signor, P. W., eds. Analytical paleobiology. Short courses in paleontology, no. 4. The Paleontological Society, Knoxville, Tenn.Google Scholar
Sepkoski, J. J. Jr. 1992. A compendium of fossil marine animal families, 2d ed. Milwaukee Public Museum Contributions in Biology and Geology 83:1–156.Google Scholar
Sepkoski, J. J. Jr. 1993. Ten years in the library: new data confirm paleontological patterns. Paleobiology 19:43–51.CrossRefGoogle ScholarPubMed
Sepkoski, J. J. Jr., and Kendrick, D. C. 1993. Numerical experiments with model monophyletic and paraphyletic taxa. Paleobiology 19:168–184.CrossRefGoogle ScholarPubMed
Sepkoski, J. J. Jr., and Raup, D. M. 1986. Periodicity of marine extinction events. Pp. 3–36in Elliott, D. K., ed. Dynamics of extinction. Wiley, New York.Google Scholar
Stanley, S. M., Signor, P. W. III, Lidgard, S., and Karr, A. F. 1981. Natural clades differ from “random” clades: simulations and analyses. Paleobiology 7:115–127.CrossRefGoogle Scholar
Van Valen, L. M. 1973. A new evolutionary law. Evolutionary Theory 1:1–30.Google Scholar
Van Valen, L. M. 1984. A resetting of Phanerozoic community evolution. Nature (London) 307:50–52.CrossRefGoogle Scholar
Van Valen, L. M. 1985. How constant is extinction? Evolutionary Theory 7:93–106.Google Scholar
Van Valen, L. M., and Maiorana, V. C. 1985. Patterns of origination. Evolutionary Theory 7:107–125.Google Scholar
Webb, S. D. 1969. Extinction-origination equilibria in Late Cenozoic land mammals of North America. Evolution 23:688–702.CrossRefGoogle ScholarPubMed