A crossvalidation-based comparison of kriging and IDW in local GNSS/levelling quasigeoid modelling

• Autorzy: Ligas Marcin , Lucki Blazej , Banasik Piotr

Identyfikatory

DOI

10.2478/rgg-2022-0004

• Języki publikacji: EN

Abstrakty

EN

This study compares two interpolation methods in the problem of a local GNSS/levelling (quasi) geoid modelling. It uses raw data, no global geopotential model is involved. The methods differ as to the complexity of modelling procedure and theoretical background, they are ordinary kriging/least-squares collocation with constant trend and inverse distance weighting (IDW). The comparison itself was done through leave-one-out and random (Monte Carlo) cross-validation. Ordinary kriging and IDW performance was tested with a local (using limited number of data) and global (using all available data) neighbourhoods using various planar covariance function models in case of kriging and various exponents (power parameter) in case of IDW. For the study area both methods assure an overall accuracy level, measured by mean absolute error, root mean square error and median absolute error, of less than 1 cm. Although the method of IDW is much simpler, a suitably selected parameters (also trend removal) may contribute to differences between methods that are virtually negligible (fraction of a millimetre).

Słowa kluczowe

EN

quasigeoid; kriging; least squares collocation; conversion surface; cross-validation

PL

quasigeoida; kolokacja metodą najmniejszych kwadratów; powierzchnia konwersji; walidacja krzyżowa

• Wydawca: Wydział Geodezji i Kartografii Politechniki Warszawskiej
• Czasopismo: Reports on Geodesy and Geoinformatics
• Rocznik: 2022
• Tom: Vol. 114
• Strony: 1--7
• Opis fizyczny: Bibliogr. 25 poz., rys., tab., wykr.

Twórcy

autor

Ligas Marcin

• Department of Integrated Geodesy and Cartography, Faculty of Geo-Data Science, Geodesy and Environmental Engineering, AGH University of Science and Technology, al. Mickiewicza 30, 30-059 Kraków, Poland

• https://orcid.org/0000-0002-0970-128X

autor

Lucki Blazej

• Department of Integrated Geodesy and Cartography, Faculty of Geo-Data Science, Geodesy and Environmental Engineering, AGH University of Science and Technology, al. Mickiewicza 30, 30-059 Kraków, Poland

autor

Banasik Piotr

• Department of Integrated Geodesy and Cartography, Faculty of Geo-Data Science, Geodesy and Environmental Engineering, AGH University of Science and Technology, al. Mickiewicza 30, 30-059 Kraków, Poland

• https://orcid.org/0000-0002-3604-4019

Bibliografia

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Uwagi

PL

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).