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Mathematical models of cladogenesis

Published online by Cambridge University Press:  08 April 2016

David M. Raup
David M. Raup*
Affiliation:
Department of Geophysical Sciences, University of Chicago, Chicago, Illinois 60637
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Abstract

The evolutionary pattern of speciation and extinction in any biologic group may be described by a variety of mathematical models. These models provide a framework for describing the history of taxonomic diversity (clade shape) and other aspects of larger evolutionary patterns. The simplest model assumes time homogeneity: that is, speciation and extinction probabilities are constant through time and within taxonomic groups. In some cases the homogeneous model provides a good fit to real world paleontological data, but in other cases the model serves only as a null hypothesis that must be rejected before more complex models can be applied. In cases where the homogeneous model does not fit the data, time-inhomogeneous models can be formulated that specify change, regular or episodic, in speciation and extinction probabilities. An appendix provides a list of the most useful equations based on the homogeneous model.

Type
Research Article
Information
Paleobiology , Volume 11 , Issue 1 , Winter 1985 , pp. 42 - 52
Copyright
Copyright © The Paleontological Society 

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