Cumulative co-seismic displacement and comparison with GPS observations in Taiwan

The island of Taiwan owes its existence to the collision of the Eurasian plate and the Philippine Sea plate. The strong seismicity can produce permanent displacement field which can be observed by GPS. Both seismological and GPS networks have been fully established in Taiwan for years. In this paper, we will study the earthquake-induced relative movements, including the amplitude and pattern, and determine how much cumulative co-seismic displacement can contribute to the observed GPS signals as long-term 'trends', by comparing the two sets of data. The co-seismic displacement is calculated by adopting the elastic dislocation theory on a spherical Earth as derived by Sun and Okubo. For the GPS observations, we will remove the seasonal and tidal effects by the least square method and the common-mode errors by the empirical orthogonal function technique. The comparison results show that the earthquake-induced displacements account only for a tiny fraction of the GPS signals, implying that the majority of the displacements in Taiwan during the studied period of 1995-2013 (which includes the largest 1999 Chi-Chi earthquake), both horizontal and vertical, are caused aseismically. The comparison also reveals some interesting details about the pattern and behavior of the displacement fields.