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Taxonomic survivorship curves and Van Valen's Law

Published online by Cambridge University Press:  08 April 2016

David M. Raup*
Affiliation:
Department of Geological Sciences, University of Rochester, Rochester, New York 14627

Abstract

As Van Valen has demonstrated, the taxonomic survivorship curve is a valuable means of investigating extinction rates in the fossil record. He suggested that within an adaptive zone, related taxa display stochastically constant and equal extinction rates. Such a condition is evidenced by straight survivorship curves for species and higher taxa. Van Valen's methods of survivorship analysis can be improved upon and several suggestions are presented. With proper manipulation of data, it is possible to pool the information from extinct and living taxa to produce a single survivorship curve and therefore a single estimate of extinction rate. If extinction rate is constant at the species level (producing a straight survivorship curve), higher taxa in the same group should be expected to have convex survivorship curves. The constancy of extinction rates (here termed Van Valen's Law) can and should be tested rigorously. Several methods are available, of which the Total Life method of Epstein is particularly effective.

Type
Research Article
Copyright
Copyright © The Paleontological Society 

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References

Literature Cited

Barlow, R. E. 1968. Likelihood ratio tests for restricted families of probability distributions. Annals Math. Stat. 39:547560.Google Scholar
Barlow, R. E., and Proschan, F. 1969. A note on tests for monotone failure rate based on incomplete data. Annals Math. Stat. 40:595600.Google Scholar
Connell, J. H., Mertz, D. B., and Murdoch, W. W. 1970. Readings in ecology and ecological genetics. 397 pp. Harper & Row. New York.Google Scholar
Emlen, J. M. 1973. Ecology: An Evolutionary Approach. 493 pp. Addison-Wesley. Reading, Massachusetts.Google Scholar
Epstein, B. 1960a. Tests for the validity of the assumption that the underlying distribution of life is exponential. Part I. Technometrics. 2:83101.Google Scholar
Epstein, B. 1960b. Tests for the validity of the assumption that the underlying distribution of life is exponential. Part II. Technometrics. 2:167183.Google Scholar
Harland, W. B.et al. 1969. The Fossil Record. 828 pp. Geological Society. London.Google Scholar
Kurten, B. 1954. Population dynamics—a new method in paleontology. J. Paleontology. 28:286292.Google Scholar
Kurten, B. 1964. Population structure in paleoecology. pp. 91106. In, Imbrie, J. and Newell, N. (eds.), Approaches to Paleoecology. 432 pp. John Wiley & Sons. New York.Google Scholar
Levinton, J. S. 1974. Trophic group and evolution in bivalve molluscs. Palaeontology. 17:579585.Google Scholar
MacArthur, R. H., and Wilson, E. O. 1967. The Theory of Island Biogeography. 203 pp. Princeton University Press. Princeton, New Jersey.Google Scholar
Miller, R. L., and Kahn, J. S. 1962. Statistical Analysis in the Geological Sciences. 483 pp. John Wiley & Sons. New York.Google Scholar
Raup, D. M. 1972. Taxonomic diversity during the Phanerozoic. Science. 177:10651071.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. J. Geol. 81:525542.Google Scholar
Simpson, G. G. 1953. The Major Features of Evolution. 434 pp. Columbia University Press. New York.CrossRefGoogle Scholar
Thorpe, W. H. 1940. Ecology and the future of systematics. pp. 340364. In, Huxley, J. (ed.), The New Systematics. Clarendon Press. Oxford.Google Scholar
Van Valen, L. 1972. Laws in biology and history: structural similarities of academic disciplines. New Literary Hist. 3:409419.Google Scholar
Van Valen, L. 1973a. A new evolutionary law. Evol. Theory. 1:130.Google Scholar
Van Valen, L. 1973b. Are categories in different phyla comparable? Taxon. 22:333373.Google Scholar