The paper gives some final results of the subproject "Three Dddimensional Plate Kinematics in Romania" of the CRC 461 "Strong Earthquakes", funded by the German Research Foundation at the Universitat Karlsruhe in the year 1996 to 2007. The reprocessing of the data of 14 GPS campaigns performed from 1995 to 2006 in the deformation network, covering the middle and eastern part of Romania, using the Bernese Software (version 5.0) is discussed, including the analysis of multipath effects and antenna calibrations. From the daily coordinate solutions astation velocities were derived using the kinematic model of deformation analysis. Based on these station velocities a three dimensinal velocity field was estimated using the technique of multilevel B-spline approximation, followed by the calculation of strain components. Especially the results of the height derormations could help to support the geophysical modelling of the Vrancea earthquakes.
The estimation of regular velocity fields irregular distributed GPS stations corresponds to the problem of scattered data approximation with free from surfaces. The method of Multilevel B-spline Approximation is a powerful tool to solve this problem. The iterative evaluation of approximation surfaces leads to a best fit approximation of the station velocities. The algorithm for the Multilevel B-spline Approximation has to be extended by the methods of error propagation to evaluate statistically the quality of the interpolated velocity field. Multilevel B-spline Approximation is applied to generate a velocity field based on roughly 50 GPS stations in Romania. The investigation area includes several CEGRN stations, campaign stations in the framework of the COLLABORATIVE RESEARCH CENTER 461 "STRONG EARTHQUAKES" and a few permanent GPS stations. The application of the law of error propagation provides an opportunity to analyse the accuracy of the velocity field.
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