000005839 001__ 5839
000005839 005__ 20220922120442.0
000005839 0247_ $$2DOI$$a10.1007/s00190-022-01601-4
000005839 037__ $$aSCART-2022-0085
000005839 100__ $$aSteffen, Rebekka
000005839 245__ $$aHV-LSC-ex2: velocity field interpolation using extended least-squares collocation
000005839 260__ $$c2022
000005839 520__ $$aLeast-squares collocation (LSC) is a widely used method applied in physical geodesy to separate observations into a signal and noise part but has received only little attention when interpolating velocity fields. The advantage of the LSC is the possibility to filter and interpolate as well as extrapolate the observations. Here, we will present several extensions to the traditional LSC technique, which allows the combined interpolation of both horizontal velocity components (horizontal velocity (HV)-LSC), the separation of velocity observations on different tectonic plates, and the removal of stationarity by moving variance (the latter as HV-LSC-ex(tended)2). Furthermore, the covariance analysis, which is required to find necessary input parameters for the LSC, is extended by finding a suitable variance and correlation length using both horizontal velocity components at the same time. The traditional LSC and all extensions are tested on a synthetic dataset to find the signal at known as well as newly defined points, with stations separated on four different plates with distinct plate velocities. The methodologies are evaluated by calculation of a misfit to the input data, and implementation of a leave-one-out cross-validation and a Jackknife resampling. The largest improvement in terms of reduced misfit and stability of the interpolation can be obtained when plate boundaries are considered. In addition, any small-scale changes can be filtered out using the moving-variance approach and a smoother velocity field is obtained. In comparison with interpolation using the Kriging method, the fit is better using the new HV-LSC-ex2 technique.
000005839 594__ $$aNO
000005839 6531_ $$aLeast-squares collocation
000005839 6531_ $$aVelocity field
000005839 6531_ $$aCovariance analysis
000005839 6531_ $$aPlate boundary
000005839 6531_ $$aGNSS data
000005839 6531_ $$aCorrelation analysis
000005839 6531_ $$aMoving variance
000005839 700__ $$aLegrand, Juliette
000005839 700__ $$aAgren, Jonas
000005839 700__ $$aSteffen, Holger
000005839 700__ $$aLidberg, Martin
000005839 773__ $$n15$$pJournal of geodesy$$v96$$y2022
000005839 8560_ $$felodie.brahy@ksb-orb.be
000005839 85642 $$ahttps://link.springer.com/article/10.1007/s00190-022-01601-4
000005839 905__ $$apublished in
000005839 980__ $$aREFERD