摘要： Since the year 1973, more than 54,000 M w ≥ 3.0 earthquakes have occurred around Taiwan, and their magnitude–frequency relationship was found following with the Gutenberg–Richter recurrence law with b value equal to 0.923 from the least-square calculation. However, using this b value with the McGuire–Arabasz algorithm results in some disagreement between observations and expectations in magnitude probability. This study introduces a simple approach to optimize the b value for better modeling of the magnitude probability, and its effectiveness is demonstrated in this paper. The result shows that the optimal b value can better model the observed magnitude distribution, compared with two customary methods. For example, given magnitude threshold = 5.0 and maximum magnitude = 8.0, the optimal b value of 0.835 is better than 0.923 from the least-square calculation and 0.913 from maximum likelihood estimation for simulating the earthquake’s magnitude probability distribution around Taiwan. 其他題名： Nat Hazards 出版者： Dordrecht: Springer Netherlands 出版日期： 2014-03-01 出處： Natural hazards (Dordrecht), 2014-03, Vol.71 (1), p.837-850 資源來源： Agricultural & Environmental Science Collection 版權： Springer Science+Business Media Dordrecht 2013 版權： 2015 INIST-CNRS 版權： Springer Science+Business Media Dordrecht 2014 識別號： ISSN: 0921-030X 識別號： EISSN: 1573-0840 識別號： DOI: 10.1007/s11069-013-0934-1 識別號： CODEN: NAHZEL
