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This study first presents the series of peak ground acceleration (PGA) in the three major cities in Taiwan. The PGAs are back-calculated from an earthquake catalog with the use of ground motion models. The maximums of the 84th percentile (mean?+?one standard deviation) PGA since 1900 are 1.03, 0.36, and 0.10?g, in Taipei, Taichung, and Kaohsiung, respectively. Statistical goodness-of-fit testing shows that the series of PGA follow a double-lognormal distribution. Using the verified probability distribution, a probabilistic analysis was developed in this paper, and used to evaluate probability-based seismic hazard. Accordingly, given a PGA equal to 0.5?g, the annual exceedance probabilities are 0.56, 0.46, and 0.23?% in Taipei, Taichung, and Kaohsiung, respectively; for PGA equal to 1.0?g, the probabilities become 0.18, 0.14, and 0.09?%. As a result, this analysis indicates the city in South Taiwan is associated with relatively lower seismic hazard, compared with those in Central and North Taiwan. 相似文献