Model Comparison in Vertical Crustal Motion Estimation Using Leveling Data

摘要

A new generalized linear regression model, also called 'mixed' model, is presented for the computation of zero-epoch heights and height velocities using releveling observations. The method is compared with the single point velocity model having a multiquadric interpolator for the velocity surface. Tests based on simulated error-free and noisy data show slight advantages for the mixed model. The multiquadric technique provides a good interpolation method in the deterministic sense when certain specific precautions are considered. Error statistics of multiquadrics using a stochastic approach through least-squares should be interpreted with extreme care.