The Gutenberg–Richter Law: assumptions, limitations and interpretations
Published:January 01, 2006
P. Palacios, I. Molina, M. Segovia, 2006. "The Gutenberg–Richter Law: assumptions, limitations and interpretations", Statistics in Volcanology, H. M. Mader, S. G. Coles, C. B. Connor, L. J. Connor
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The magnitude of an earthquake is a measure related to its energy. If a geographical region is selected for research, many earthquakes with different energies may appear during the study interval. An analysis of the distribution of magnitude values can be useful to understand some spatial and temporal characteristics of the region. Gutenberg & Richter (1944) proposed a statistical relation between the magnitude and the number of the seismic events. In this paper we review this relationship, analysing its assumptions and comparing them with observed data from selected volcanic and tectonic regions of Ecuador.
The Gutenberg-Richter (GR) Law is an empirical relation between the magnitude x of some seismic event and N(x), the number of events with magnitudes higher than x.Ishimoto & Iida (1939) and Gutenberg & Richter (1944) proposed the following linear relation:
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Statistics in Volcanology
Statistics in Volcanology is a comprehensive guide to modern statistical methods applied in volcanology written by today's leading authorities. The volume aims to show how the statistical analysis of complex volcanological data sets, including time series, and numerical models of volcanic processes can improve our ability to forecast volcanic eruptions. Specific topics include the use of expert elicitation and Bayesian methods in eruption forecasting, statistical models of temporal and spatial patterns of volcanic activity, analysis of time series in volcano seismology, probabilistic hazard assessment, and assessment of numerical models using robust statistical methods. Also provided are comprehensive overviews of volcanic phenomena, and a full glossary of both volcanological and statistical terms.
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