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A note on the estimation of species duration distributions

  • John H. Gillespie (a1) and Robert E. Ricklefs (a1)

Abstract

The mathematical relationship between species survivorship and duration curves is derived using standard demographic arguments. The result, when applied to the late Cenozoic mammals, suggests that there was an inhomogeneity in the mammalian radiation just before the Wurm, or that the mammalian speciation process has not yet attained the stable-age distribution.

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References

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Harris, T. E. 1963. The Theory of Branching Processes. Springer-Verlag.
Keyfitz, N. 1968. Introduction to the Mathematics of Population. Addison-Wesley; Massachusetts.
Stanley, S. M. 1976. Stability of species in geologic time. Science. 192:267269.
Stanley, S. M. 1977. Trends, rates, and patterns of evolution in the Bivalvia. Pp. 209250. In: Hallam, A., ed. Patterns of Evolution. Elsevier; Amsterdam.
Stanley, S. M. 1978. Chronospecies' longevities, the origin of genera, and the punctuational model of evolution. Paleobiology. 4:2640.
Van Valen, L. 1973. A new evolutionary law. Evol. Theory. 1:130.

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