Hostname: page-component-8448b6f56d-tj2md Total loading time: 0 Render date: 2024-04-16T15:31:05.970Z Has data issue: false hasContentIssue false

Survivorship Analysis of Fossil Taxa When Real-Time Extinction Rates Vary: The Paleogene Planktonic Foraminifera

Published online by Cambridge University Press:  08 April 2016

Paul N. Pearson*
Affiliation:
Department of Earth Sciences, University of Cambridge, Downing Street, Cambridge, CB2 3EQ, United Kingdom

Abstract

For a survivorship curve to show a meaningful pattern, it is essential that a suitably homogeneous group is selected for analysis. If taxa have originated at different times in the geological record and have consequently experienced different extinction probabilities during the times that they existed, they do not constitute such a homogeneous group. A correction factor for variations in real-time extinction rates must be employed, as is described here. By application of the “corrected survivorship score,” it is shown that the Paleogene planktonic foraminifera exhibit a very strong survivorship pattern, namely an extinction probability that progressively increases with taxonomic longevity. That is to say, when extinction occurred, it was preferentially selective of older taxa. This is manifested as convexity in the survivorship curves. However, the pattern is degraded by variations in the real-time extinction rate, which causes straightening of the survivorship curves if they are calculated in the usual uncorrected way. If the law of constant extinction is to be tested for a given group, it is necessary either that stochastically constant real-time extinction rates are demonstrated or that variations in the extinction rate are corrected for in the manner described. As a separate issue, it is also essential that biologically meaningful taxa are analyzed. The convexity of planktonic foraminiferal survivorship curves is probably an artifact of the way evolving lineages have been subdivided in the application of typological taxonomy. Consequently, we are still a long way from being able to use survivorship analysis of planktonic foraminiferal data for adequately testing evolutionary models such as the Red Queen's hypothesis.

Type
Research Article
Copyright
Copyright © The Paleontological Society 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Literature Cited

Arnold, A. J. 1982. Species survivorship in the Cenozoic Globigerinida. Third North American Paleontological Convention, Proceedings 1: 912.Google Scholar
Berggren, W. A. 1981. Review: the Cainozoic globigerinida. Blow, W. H. 1979. Micropaleontology 27(1):99108.Google Scholar
Berggren, W. A., Kent, D. V., and Flynn, J. L.. 1985. Jurassic to Palaeogene: Part 2. Palaeogene geochronology and chronostratigraphy. Pp. 141195In Snelling, N. J., ed. Chronology of the geological record. Geological Society of London Memoir 10.Google Scholar
Blow, W. H. 1979. The Cainozoic globigerinida: a study of the morphology, taxonomy and evolutionary relationships and the stratigraphical distribution of some globigerinida (mainly Globigerinacea). E. J. Brill, Leiden.CrossRefGoogle Scholar
Boersma, A., Premoli Silva, I., and Shackleton, N. J.. 1987. Atlantic Eocene planktonic foraminiferal paleohydrographic indicators and stable isotope paleoceanography. Paleoceanography 2: 287331.CrossRefGoogle Scholar
Corfield, R. M. 1987. The environmental control of evolution in Palaeocene and Early Eocene planktonic Foraminifera. Unpublished Ph.D. thesis. University of Cambridge, England.Google Scholar
Emiliani, C. 1969. A new paleontology. Micropaleontology 15 (3):265300.CrossRefGoogle Scholar
Epstein, B. 1960a. Tests for validity of the assumption that the underlying distribution of life is exponential. Part 1. Technometrics 2:83101.Google Scholar
Epstein, B. 1960b. Tests for the validity of the assumption that the underlying distribution of life is exponential. Part 2. Technometrics 2: 167183.Google Scholar
Foin, T. C., Valentine, J. W., and Ayala, F. J.. 1975. Extinction of taxa and Van Valen's law. Nature (London) 257: 514515.Google Scholar
Fordham, B. G. 1986. Miocene-Pleistocene planktic foraminifers from D.S.D.P. sites 208 and 77, and phylogeny and classification of Cenozoic species. Evolutionary Monographs 6.Google Scholar
Furbish, D. J., Arnold, A. J., and Hansard, S. P.. 1990. The species censorship problem: a general solution. Mathematical Geology 22 (1):95106.CrossRefGoogle Scholar
Hemleben, C., Spindler, M., Breitinger, I., and Ott, R.. 1987. Morphological and physiological responses of Globigerinoides sacculifer (Brady) under varying laboratory conditions. Journal of Foraminiferal Research 15: 254272.Google Scholar
Hemleben, C., Spindler, M., and Anderson, O. R.. 1989. Modern planktonic foraminifera. Springer, New York.CrossRefGoogle Scholar
Hofker, J. Sr. 1959. On the splitting of Globigerina. Contributions from the Cushman Foundation for Foraminiferal Research 10: 19.Google Scholar
Kennett, J. P., and Srinivasen, M. S.. 1983. Neogene planktonic foraminifera. Hutchinson, Stroudsburg, Pa.Google Scholar
Malmgren, B. A., and Kennett, J. P.. 1981. Phyletic gradualism in a Late Cenozoic planktonic foraminiferal lineage, D.S.D.P. Site 284, Southwest Pacific. Paleobiology 7: 230240.CrossRefGoogle Scholar
McCune, A. R. 1981. On the fallacy of constant extinction rates. Evolution 36 (3):610614.CrossRefGoogle Scholar
Premoli Silva, I., and Boersma, A.. 1983. Paleocene planktonic foraminiferal biogeography and the paleoceanography of the Atlantic Ocean. Micropaleontology 29 (4):355381.Google Scholar
Premoli Silva, I., and Boersma, A.. 1988. Atlantic Eocene planktonic foraminiferal historical biogeography and paleohydrographic indices. Palaeogeography, Palaeoclimatology, Palaeoecology 67: 315356.CrossRefGoogle Scholar
Quilty, P. G. 1969. Upper Eocene planktonic Foraminiferida from Albany, Western Australia. Journal of the Royal Society of Western Australia 52: 4158.Google Scholar
Raup, D. M. 1975. Taxonomic survivorship curves and Van Valen's Law. Paleobiology 1: 8296.Google Scholar
Raup, D. M. 1977. Stochastic models in evolutionary paleontology. Pp. 5978In Hallam, A., ed. Patterns of evolution as illustrated by the fossil record. Elsevier Scientific, Amsterdam.Google Scholar
Raup, D. M., Gould, S. J., Schopf, T.J.M., and Simberloff, D. S.. 1973. Stochastic models and the evolution of diversity. Journal of Geology 81: 525542.CrossRefGoogle Scholar
Salthe, S. M. 1975. Some comments on Van Valen's law of constant extinction. Paleobiology 1: 556558.CrossRefGoogle Scholar
Saunders, J. B., Beaudry, F. M., Bolli, H. M., Hay, W. W., Premoli Silva, I., Riedel, W. R., Rogl, F., and Sanfillipo, A.. 1973. Paleocene to Recent microfossil distribution in the marine and land areas of the Caribbean. Initial Reports of the Deep Sea Drilling Project 15: 769773.Google Scholar
Sepkoski, J. J. 1978. A kinetic model of Phanerozoic taxonomic diversity. 1. Analysis of marine orders. Paleobiology 4: 233251.Google Scholar
Stenseth, N. C. 1979. Where have all the species gone? On the nature of extinction and the Red Queen Hypothesis. Oikos 33 (2):196227.Google Scholar
Toumarkine, M., and Luterbacher, H.. 1985. Paleocene and Eocene planktonic foraminifera. Pp. 87154In Bolli, H. M., Saunders, J. B., and Perch-Nielsen, K., eds. Plankton stratigraphy. Cambridge University Press, Cambridge.Google Scholar
Van Valen, L. 1973. A new evolutionary law. Evolutionary Theory 1: 130.Google Scholar
Van Valen, L. 1976. The Red Queen lives. Nature (London) 260: 575.Google Scholar
Van Valen, L. 1979. Taxonomic survivorship curves. Evolutionary Theory 4: 129142.Google Scholar
Wade, M. 1964. Application of the lineage concept to biostratigraphic zoning based on planktonic foraminifera. Micropaleontology 10: 273290.CrossRefGoogle Scholar
Kuo-Yen, Wei. 1987. Multivariate morphometric differentiation of chronospecies in the Late Neogene planktonic foraminiferal genus Globoconella. Marine Micropaleontology 12: 183202.Google Scholar
Kuo-Yen, Wei, and Kennett, J. P.. 1983. Nonconstant extinction rates of Neogene planktonic foraminifera. Nature (London) 305: 218220.Google Scholar
Kuo-Yen, Wei, and Kennett, J. P.. 1986. Taxonomic evolution of Neogene planktonic foraminifera and palaeoceanographic relations. Palaeoceanography 1: 6784.Google Scholar