Article Temporal Variation and Statistical Assessment of the b Value off the Pacific Coast of Tokachi, Hokkaido, Japan Weiyun Xie 1, Katsumi Hattori 2,3, * and Peng Han 4 1 Graduate School of Science and Engineering, Chiba University, Chiba 263-8522, Japan;
[email protected] 2 Graduate School of Science, Chiba University, Chiba 263-8522, Japan 3 Center for Environmental Remote Sensing, Chiba University, Chiba 263-8522, Japan 4 Southern University of Science and Technology, Shenzhen 518055, China;
[email protected] * Correspondence:
[email protected]; Tel.: +81-43-290-2801; Fax:+81-43-290-2859 Received: 31 December 2018; Accepted: 26 February 2019; Published: 5 March 2019 Abstract: The Gutenberg-Richter Law describes the frequency-magnitude distribution of earthquakes. A number of studies have shown that the slope (b value) of the relationship between frequency and magnitude decreased before large earthquakes. In this paper, we investigate the temporal variation of the b value off the Pacific coast of Tokachi, Hokkaido, Japan, during 1990– 2014. The magnitude of completeness (Mc) in the catalog is evaluated by combining the maximum curvature (MAXC) technique and the bootstrap approach. Then, the b value, and its uncertainty, is computed by using the maximum likelihood estimation. The Akaike Information Criterion (AIC) with the bootstrap approach is introduced to statistically assess the temporal variation of b values and quantify the significance level. The results show a decrease in trends of the b value prior to two large earthquakes (26 September 2003 (M8.0) and 11 September 2008 (M7.1)) in the analyzed area.