Hostname: page-component-cd9895bd7-gxg78 Total loading time: 0 Render date: 2024-12-26T05:55:22.262Z Has data issue: false hasContentIssue false

Lyellian curves and mean taxonomic durations

Published online by Cambridge University Press:  08 April 2016

Craig M. Pease*
Affiliation:
Department of Applied Mathematics, Weizmann Institute of Science, Rehovot 76100 Israel

Abstract

The mean taxon duration, , and the 50 percent point of the Lyellian curve, T50, are directly proportional to one another: . However, there is a disagreement in the literature over the correct value of the proportionality constant, C. Various authors have claimed that C ≈ 1.44, C = 2.00 and C ≈ 2.89. I critically examine the assumptions underlying these three choices of C and argue that C ≈ 1.44, which is based on an exponential model of survivorship, is more widely applicable than the other values of C.

Type
Articles
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

Feller, W. 1966. An Introduction to Probability Theory and Its Applications, vol. II. 626 pp. John Wiley & Sons; New York, New York.Google Scholar
Feller, W. 1968. An Introduction to Probability Theory and Its Applications, vol. I, 3rd ed.509 pp. John Wiley & Sons; New York, New York.Google Scholar
Gillespie, J. H. and Ricklefs, R. E. 1979. A note on the estimation of species duration distributions. Paleobiology. 5:6062.CrossRefGoogle Scholar
Keyfitz, N. 1968. Introduction to the Mathematics of Population. 450 pp. Addison-Wesley; Reading, Mass.Google Scholar
Kurtén, B. 1960. Chronology and faunal evolution of the earlier European glaciations. Soc. Scient. Fenn. Comm. Biol. Vol. 21.Google Scholar
Levinton, J. S. 1983. Stasis in progress: the empirical basis of macroevolution. Ann. Rev. Ecol. Syst. 14:103137.Google Scholar
Levinton, J. S. and Farris, J. S. 1987. On the estimation of taxonomic longevity from Lyellian curves. Paleobiology. 13:479483.Google Scholar
Pease, C. M. 1985. Biases in the durations and diversities of fossil taxa. Paleobiology. 11:272292.Google Scholar
Raup, D. M. and Stanley, S. M. 1978. Principles of Paleontology, 2nd ed.481 pp. W. H. Freeman; San Francisco, Calif.Google Scholar
Stanley, S. M. 1975. A theory of evolution above the species level. Proc. Natl. Acad. Sci. U.S.A. 72:646650.CrossRefGoogle ScholarPubMed
Stanley, S. M. 1976. Stability of species in geologic time. Science. 192:267269.Google Scholar
Stanley, S. M. 1978. Chronospecies' longevities, the origin of genera, and the punctuational model of evolution. Paleobiology 4:2640.Google Scholar
Stanley, S. M. 1979. Macroevolution: pattern and process. 332 pp. W. H. Freeman; San Francisco, Calif.Google Scholar
Stanley, S. M. 1985. Rates of evolution. Paleobiology. 11:1326.CrossRefGoogle Scholar
Stanley, S. M., Addicott, W. O., and Chinzei, K. 1980. Lyellian curves in paleontology: possibilities and limitations. Geology 8:422426.Google Scholar