Details

Title

Kriging approach for local height transformations

Journal title

Geodesy and Cartography

Yearbook

2014

Volume

vol. 63

Numer

No 1

Publication authors

Keywords

kriging ; polynomial regression ; height transformation

Divisions of PAS

Nauki Techniczne

Abstract

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.

Publisher

Commitee on Geodesy PAS

Date

2014

Type

Artykuły / Articles

Identifier

ISSN 2080-7636

References

Goldberger (1962), Best linear unbiased prediction in the generalized linear regression models Journal of the American Statistical, Association, 57, 298.

DOI

10.2478/geocart-2014-0002

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