Spatiotemporal Filtering of Eastern Canadian GPS Data

Physics – Geophysics

Scientific paper

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1211 Non-Tectonic Deformation, 1221 Lunar And Planetary Geodesy And Gravity (5417, 5450, 5714, 5744, 6019, 6250), 3200 Mathematical Geophysics (0500, 4400, 7833), 8110 Continental Tectonics: General (0905)

Scientific paper

Geodetic data, the spatial and temporal surface expression of complex geophysical processes in the earth, is being acquired today at unprecedented rates and accuracies. Previous research has demonstrated that an eigenpattern decomposition technique known as Karhunen-Loeve expansion (KLE) analysis can be used to identify a unique, finite set of correlated deformation patterns for a given regional network of GPS stations. Similar in nature to the empirical orthogonal functions historically employed in the analysis of atmospheric and oceanographic phenomena, the method derives the eigenvalues and eigenstates from the diagonalization of the correlation matrix. After decomposing large data sets into their orthonormal eigenvectors and associated time series, based upon the spatiotemporal relationships that exist in the data, it can be used to study those modes most responsible for these correlations and their sources (Tiampo et al., 2004) or to remove those uninteresting modes in the system (Dong et al., 2006). One additional benefit is that these modes are ordered naturally by the predominant spatial wavelength of the signal. Here we demonstrate its application to continuous GPS data acquired between 2001 and 2006 in the intraplate region of eastern Canada. We successfully isolate the common mode error and examine some of the potential sources for the additional vertical and horizontal deformation modes, including glacial isostatic rebound (GIA).

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