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Bulletin of the Seismological Society of America; December 2002; v. 92; no. 8; p. 2983-2993; DOI: 10.1785/0120010191
© 2002 Seismological Society of America
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Article

The Upper-Truncated Power Law Applied to Earthquake Cumulative Frequency-Magnitude Distributions: Evidence for a Time-Independent Scaling Parameter

S. M. Burroughs and S. F. Tebbens

University of South Florida
College of Marine Science
St. Petersburg, Florida 33701
sburroughs{at}ut.edu
tebbens{at}marine.usf.edu
(S.M.B., S.F.T.)
University of Tampa
Department of Chemistry and Physics
Tampa, Florida 33606
(S.M.B.)

Manuscript received 2 July 2001.

Earthquake cumulative frequency-magnitude (CFM) distributions are described by the Gutenberg-Richter power law where the exponent is the b-value. Although it has been reported that the b-value changes before large earthquakes, we find that an upper-truncated power law applied to earthquake CFM distributions yields a time-independent scaling parameter, herein called the {alpha}-value. We analyze earthquakes associated with subduction of the Nazca plate beneath South America and find a region of isolated seismic activity at depths greater than 500 km between 20° S and 30° S. For the entire record, 1973-2000, the earthquake CFM distribution in this isolated region is well described by a Gutenberg-Richter power law with b = 0.58. The data set includes several large seismic events with mb ≥6.8. A power law applied to the CFM distributions for short time intervals between the large events yields b-values greater than the b-value for the entire record. CFM distributions for the short time intervals are better described by an upper-truncated power law than by a power law. The {alpha}-value determined by applying an upper-truncated power law to the short time intervals is equal to the b-value obtained by applying the Gutenberg-Richter power law to the entire record. Temporal changes in b-value are due to temporal fluctuations in maximum magnitude. Analysis of four Flinn-Engdahl regions, two in subduction zones and two along spreading ridges, demonstrates wider applicability of the results. The {alpha}-value is an unchanging characteristic of the system that may be determined from a short-term record.




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Regression Analysis with Truncated Samples and Its Application to Ground-Motion Attenuation Studies
Bulletin of the Seismological Society of America, August 1, 2004; 94(4): 1369 - 1378.





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