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- Title
Copula-based joint probability function for PGA and CAV: a case study from Taiwan.
- Authors
Xu, Yun; Tang, Xiao ‐ Song; Wang, J. P.; Kuo ‐ Chen, H.
- Abstract
This study aims to develop a joint probability function of peak ground acceleration (PGA) and cumulative absolute velocity (CAV) for the strong ground motion data from Taiwan. First, a total of 40,385 earthquake time histories are collected from the Taiwan Strong Motion Instrumentation Program. Then, the copula approach is introduced and applied to model the joint probability distribution of PGA and CAV. Finally, the correlation results using the PGA-CAV empirical data and the normalized residuals are compared. The results indicate that there exists a strong positive correlation between PGA and CAV. For both the PGA and CAV empirical data and the normalized residuals, the multivariate lognormal distribution composed of two lognormal marginal distributions and the Gaussian copula provides adequate characterization of the PGA-CAV joint distribution observed in Taiwan. This finding demonstrates the validity of the conventional two-step approach for developing empirical ground motion prediction equations (GMPEs) of multiple ground motion parameters from the copula viewpoint. Copyright © 2016 John Wiley & Sons, Ltd.
- Subjects
TAIWAN; EARTHQUAKES; ABSOLUTE velocity; PROBABILITY theory; LOGNORMAL distribution; EARTHQUAKE prediction
- Publication
Earthquake Engineering & Structural Dynamics, 2016, Vol 45, Issue 13, p2123
- ISSN
0098-8847
- Publication type
Article
- DOI
10.1002/eqe.2748