On the dynamics of evolutionary discontinuities
type: Item
instance of: scholarly article
title: On the dynamics of evolutionary discontinuities
zbMATH Open document ID: 0548.92008
DOI: 10.1016/0025-5564(83)90019-6
author: Gebhard Geiger
published in: Mathematical Biosciences
publication date: 1983-01-01T00:00:00Z
review text: Certain views of biological evolution have returned to prominence which reflect aspects of 19th-century evolutionary saltationism. The basic concepts of recent saltationism, such as ''quantum evolution'', ''genetic revolution'', ''genetic transiliance'' and ''punctuational change'' have been introduced exclusively from the perspectives of modern synthetic theory. In this paper, it is argued that macroevolutionary discontinuities are not only consistent with the basic assumptions of gradualism but even predicted by the continuous-time models of population dynamics. In section 2, the evolution in secular time scales is presented. Various limits of the shifting-peak approach to evolutionary saltationism leave it worthwhile to reconsider the punctuated-equilibria model from the standpoint of population dynamics. Section 3 ''low-dimensional examples'' discusses a few well-known examples from competitive selection theory. For further analysis of the modes of long-term evolution the concept of fitness surface, or adaptive topography, is modified appropriately and the modes of evolution in adaptive topographies are given in section 4. The final discussion, in section 5, relates the present results to the details of \textit{S. J. Gould} and \textit{N. Eldredge}'s standpoint [Punctuated equilibria: Tempo and mode of evolution reconsidered. Paleobiology 3, 111-151 (1977)]. It is an actual overview paper in the field of mathematical biosciences.
Mathematics Subject Classification ID: 92D15
zbMATH DE Number: 3875026
zbMATH Keywords: dynamics of evolutionary discontinuities
zbMATH Keywords: polymorphic populations
zbMATH Keywords: quantum evolution
zbMATH Keywords: genetic revolution
zbMATH Keywords: genetic transiliance
zbMATH Keywords: punctuational change
zbMATH Keywords: macroevolutionary discontinuities
zbMATH Keywords: gradualism
zbMATH Keywords: shifting-peak approach
zbMATH Keywords: evolutionary saltationism
zbMATH Keywords: punctuated-equilibria model
zbMATH Keywords: low-dimensional examples
zbMATH Keywords: competitive selection
zbMATH Keywords: fitness surface
zbMATH Keywords: adaptive topography
zbMATH Keywords: overview paper
reviewed by: T. Postelnicu
MaRDI profile type: Publication
full work available at URL: 0025-5564(83)90019-6
OpenAlex ID: W1990950967
cites work: Q3879120
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cites work: Q3856478
cites work: Q3859723
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cites work: Stability by Liapunov's direct method. With applications
cites work: Phenotypic structure and bifurcation behavior of population models
cites work: Q4160117
cites work: Selfregulation of behaviour in animal societies. III. Games between two populations with selfinteraction
cites work: On the differential equations of species in competition
cites work: Q4058507
cites work: Q3895292
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description: scientific article; zbMATH DE number 3875026