Abstrakt
In the paper a transformation between two height datums (Kronstadt’60 and
Kronstadt’86, the latter being a part of the present National Spatial Reference System
in Poland) with the use of geostatistical method – kriging is presented. As the height
differences between the two datums reveal visible trend a natural decision is to use the
kind of kriging method that takes into account nonstationarity in the average behavior
of the spatial process (height differences between the two datums). Hence, two methods
were applied: hybrid technique (a method combining Trend Surface Analysis with
ordinary kriging on least squares residuals) and universal kriging. The background of the
two methods has been presented. The two methods were compared with respect to the
prediction capabilities in a process of crossvalidation and additionally they were compared
to the results obtained by applying a polynomial regression transformation model. The
results obtained within this study prove that the structure hidden in the residual part
of the model and used in kriging methods may improve prediction capabilities of the
transformation model.
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