Skip to Main Content
Book Chapter

Modeling geocomplexity: “A new kind of science”

By
Donald L. Turcotte
Donald L. Turcotte
Department of Geology, University of California, Davis, California 95616, USA
Search for other works by this author on:
Published:
January 01, 2006

A major objective of science is to provide a fundamental understanding of natural phenomena. In “the old kind of science,” this was done primarily by using partial differential equations. Boundary and initial value conditions were specified and solutions were obtained either analytically or numerically. However, many phenomena in geology are complex and statistical in nature and thus require alternative approaches. But the observed statistical distributions often are not Gaussian (normal) or lognormal, instead they are power laws. A power-law (fractal) distribution is a direct consequence of scale invariance, but it is now recognized to also be associated with self-organized complexity. Relatively simple cellular automata (CA) models provide explanations for a range of complex geological observations. The “sand-pile” model of Bak—the context for “self-organized criticality”—has been applied to landslides and turbidite deposits. The “forest-fire” model provides an explanation for the frequency-magnitude statistics of actual forest and wild fires. The slider-block model reproduces the Guttenberg-Richter frequency-magnitude scaling for earthquakes. Many of the patterns generated by the CA approach can be recognized in geological contexts. The use of CA models to provide an understanding of a wide range of natural phenomena has been popularized in Stephen Wolfram's bestselling book A New Kind of Science (2002). Since CA models are basically computer games, they are accepted enthusiastically by many students who find other approaches to the quantification of geological problems both difficult and boring.

You do not currently have access to this article.

Figures & Tables

Contents

GSA Special Papers

Earth and Mind: How Geologists Think and Learn about the Earth

Cathryn A. Manduca
Cathryn A. Manduca
Search for other works by this author on:
David W. Mogk
David W. Mogk
Search for other works by this author on:
Geological Society of America
Volume
413
ISBN print:
9780813724133
Publication date:
January 01, 2006

References

Related

Citing Books via

Related Book Content
Close Modal
This Feature Is Available To Subscribers Only

Sign In or Create an Account

Close Modal
Close Modal