Two-point statistics of vertical crustal movements of the Pannonian basin

Abstract

The Pannonian Basin or in a broad sense, the Carpatho-Balkan region, is a suitable test area to study the statistical qualities of the Earth's vertical crustal movements. The second-order moments of relative and absolute quantities of motion (vertical velocity, horizontal gradient) are given for the type of a subsiding region with uplifts in its marginal zone — in the ideal case of circular ssymetry. The foundation is the theory of two-dimensional homogenous stochastic processes. Empirically estimated autocovariance functions of the relative vertical rate are approximated by model functions, corresponding to the geotectonic situation of the region, and they are transformed into the wave-number domain. All modelled and empirically estimated second-order moments are given as auxiliary means for signal prediction. The properties of the signal, represented in the maps of the Earth's vertical crustal movements (1:2 500 000, Moscow 1973; 1:2 000 000, Joó et al., 1979), can be derived from the spectral representation.