Nonlinear Sciences – Adaptation and Self-Organizing Systems
Scientific paper
1998-12-02
Proc. R. Soc. London B 266, 1267-1270 (1999)
Nonlinear Sciences
Adaptation and Self-Organizing Systems
11 pages including 4 postscript figures, typeset in LaTeX2e using the Elsevier macro package elsart.cls
Scientific paper
Recent Fourier analyses of fossil extinction data have indicated that the power spectrum of extinction during the Phanerozoic may take the form of 1/f noise, a result which, it has been suggested, could be indicative of the presence of "critical dynamics" in the processes giving rise to extinction. In this paper we examine extinction power spectra in some detail, using family-level data from a variety of different sources. We find that although the average form of the power spectrum roughly obeys the 1/f law, the spectrum can be represented more accurately by dividing it into two regimes: a low-frequency one which is well fit by an exponential, and a high-frequency one in which it follows a power law with a 1/f^2 form. We give explanations for the occurrence of each of these behaviours and for the position of the cross-over between them.
Eble Gunther J.
Newman M. E. J.
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