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Abstract:
The purpose of this paper is to test the joint hypotheses of parameters in the regression equation between intensity and the longitude, latitude, magnitude (Richter magnitude scale, ML), and depth (kM) of earthquakes in Taiwan. The sums of squared errors of the unrestricted and restricted models are calculated and F-testis used to check the significance of the testing result. The analyses showed that the parameters of longitude and latitude cannot be neglected in all regions and three eastern coast counties of Taiwan. The adjusted coefficient of determination in the analyses are all higher than 91%, and it means the proposed regression equations can well explain the relationship between intensity with respect to longitude, latitude, magnitude and depth of earthquakes in each area. Three dimensional diagrams are plotted to visualize the intensity for the whole Taiwan and three counties of the eastern coast. From January 1995 to October 2018, there were totally 11,081 earthquakes in Taiwan, and 404 of them caused the intensity equal or above 5.0 (80~250 gal). Although the ratio is only 3.65% (404/11,081), they are categorized as "strong" by the Central Weather Bureau (CWB) of Taiwan, and severe damages or casualties may occur and should be scrutinized.
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