Gutenberg–Richter b-value determination and large-magnitudes sampling

F. A. Nava (), V. H. Márquez-Ramírez, F. R. Zúñiga and C. Lomnitz
Additional contact information
F. A. Nava: CICESE
V. H. Márquez-Ramírez: UNAM
F. R. Zúñiga: UNAM
C. Lomnitz: Ciudad Universitaria

Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, 2017, vol. 87, issue 1, No 1, 11 pages

Abstract: Abstract Aki’s maximum likelihood method of Gutenberg–Richter b-value estimation is based on the premise that magnitudes above a given threshold are distributed exponentially and presupposes that sampling is adequate for all these magnitudes; clearly, sampling will not be adequate for magnitudes having average recurrence times longer than the observation time. Thus, for any given sample, there is a higher-magnitude completeness threshold. The importance of considering this higher-magnitude threshold is discussed, the effect of incomplete large-magnitude sampling is evaluated, and a method is given for correcting the observations.

Keywords: b-value; Seismic magnitude; Sampling; Statistical seismology (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1007/s11069-017-2750-5

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