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Harmonic analysis of periodic extinctions

Published online by Cambridge University Press:  08 April 2016

William T. Fox
William T. Fox*
Affiliation:
Department of Geology, Williams College, Williamstown, Massachusetts 01267
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Abstract

Fourier analysis of percent extinction data for genera of fossil marine animals during the past 260 million years indicates the existence of a 26 m.y. extinction cycle. The first three harmonics, which account for 51.7 percent of the sum of squares, show the major extinction trends in the late Paleozoic, Mesozoic and Cenozoic. The first ten harmonics, which account for 89.5 percent of the sum of squares, are aligned with eight extinction peaks. The tenth harmonic, with a period of 26 million years, has an amplitude of 6.5 percent and accounts for 12.7 percent of the sum of squares.

Several different methods are used to test the validity of the apparent 26 m.y. extinction cycle. Analysis of variance indicated that the 26 m.y. extinction cycle is statistically significant at the 95 percent level. When the 260 m.y. sample interval is divided into equal 130 m.y. segments, the phases and amplitudes for the 26 m.y. cycle were almost equal within the two independent segments. When the 260 m.y. interval is divided into 10 shorter time segments of different lengths, the 26 m.y. cycle is represented in each time segment.

A series of experiments is run to test the influence of the Late Permian and Cretaceous peaks on the observed 26 m.y. cycle. When all peaks are smoothed out except for the two major peaks, a pseudo-cycle with a period of 26 m.y. is generated that accounts for 3.0 percent of the sum of squares. When the Permian and Cretaceous peaks are reduced to about half their observed height, the sum of squares accounted for by the 26 m.y. cycle is reduced from 12.7 to 11.0 percent. When the number of extinctions within each stage is used in the harmonic analysis in place of extinction percent, the 26 m.y. cycle accounts for 19.3 percent of the sum of squares.

Therefore, the evidence from harmonic analysis of fossil marine animals points toward a distinct and persistent 26 m.y. cycle in mass extinctions in the late Paleozoic, Mesozoic and Cenozoic.

Type
Articles
Information
Paleobiology , Volume 13 , Issue 3 , Summer 1987 , pp. 257 - 271
Copyright
Copyright © The Paleontological Society 

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References

Literature Cited

Alvarez, W. 1986. Toward a theory of impact crises. EOS. 67:649–658.Google Scholar
Defant, A. 1960. Physical Oceanography, Vol. II. 598 pp. Pergamon Press; New York.Google Scholar
Edwards, R. E. 1979. Fourier Series, a Modem Introduction. 225 pp. Springer-Verlag; New York.CrossRefGoogle Scholar
Fischer, A. G. 1981. Climatic oscillations in the biosphere. Pp. 103–131. In: Nitecki, M. H., ed. Biotic Crises in Ecological and Evolutionary Time. Academic Press; New York.Google Scholar
Fischer, A. G. and Arthur, M. A. 1977. Secular variations in the pelagic realm. Pp. 19–50. In: Cook, H. E. and Enos, P., eds. Deep Water Carbonate Environments. Soc. Econ. Paleontologists and Mineralogists Special Publication 25.Google Scholar
Flessa, K. W. 1979. Extinction. Pp. 300–305. In: Fairbridge, R. W. and Jablonski, D., eds. The Encyclopedia of Paleontology. Dowden, Hutchinson and Ross; Stroudsburg, Penn.CrossRefGoogle Scholar
Fox, W. T. and Davis, R. A. Jr. 1973. Simulation model for storm cycles and beach erosion on Lake Michigan. Geol. Soc. Am. Bull. 84:1769–1790.Google Scholar
Harland, W. B., Cox, A. V., Llewellyn, P. C., Picton, C. A. G., Smith, A. G., and Walters, R. 1982. A Geologic Time Scale. 131 pp. Cambridge Univ. Press; Cambridge.Google Scholar
McCartney, K. and Niensted, J. 1986. The Cretaceous/Tertiary extinction controversy reconsidered. Jour. Geol. Ed. 34:90–94.Google Scholar
Officer, C. B. and Grieve, R. A. F. 1986. The impact of impacts and the nature of nature. EOS. 67:633–637.CrossRefGoogle Scholar
Raup, D. M. and Sepkoski, J. J. Jr. 1984. Periodicity of extinctions in the geologic past. Proc. Natl. Acad. Sci., USA. 81:801–805.CrossRefGoogle ScholarPubMed
Raup, D. M. and Sepkoski, J. J. Jr. 1986. Periodic extinction of families and genera. Science. 231:833–835.Google Scholar
Sepkoski, J. J. Jr., and Raup, D. M. 1986. Periodicity in marine extinction events. Pp. 3–36. In: Elliott, D. K., ed. Dynamics of Evolution. John Wiley and Sons; New York.Google Scholar
Stothers, R. B. 1979. Solar activity cycle during classical antiquity. Astron. Astrophys. 77:121–127.Google Scholar
Zygmund, A. 1959. Trigonometric Series, 2nd edition. 377 pp. Cambridge Univ. Press; Cambridge.Google Scholar