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Error calibration of quasi-geoidal, normal and ellipsoidal heights of Sweden using variance component estimation
KTH, School of Architecture and the Built Environment (ABE), Transport and Economics (closed 20110301), Geodesy (closed 20110301).
2010 (English)In: Contributions to Geophysics and Geodesy, ISSN 1335-2806, Vol. 40, no 1, 1-30 p.Article in journal (Refereed) Published
Abstract [en]

Errors of estimated parameters in an adjustment process should be scaled according to the size of the estimated residuals or misclosures. After computing a quasigeoid (geoid), its biases and tilts, due to existence of systematic errors in the terrestrial data, are removed by fitting a corrective surface to the misclosures of the differences between the GNSS/levelling data and the quasi-geoid (geoid). Variance component estimation can be used to re-scale or calibrate the error of the GNSS/levelling data and the quasi-geoid (geoid) model. This paper uses this method to calibrate the errors of the recent quasi-geoid model, the GNSS and the normal heights of Sweden. Different stochastic models are investigated in this study and based on a 7-parameter corrective surface model and a three-variance component stochastic model, the calibrated error of the quasi-geoid and the normal heights are 6 mm and 5 mm, respectively and the re-scaled error of the GNSS heights is 18 mm.

Place, publisher, year, edition, pages
Slovakia: Versita , 2010. Vol. 40, no 1, 1-30 p.
Keyword [en]
combined adjustment, error calibration, singularity, stochastic model
National Category
Civil Engineering
URN: urn:nbn:se:kth:diva-48508DOI: 10.2478/v10126-010-0001-9ScopusID: 2-s2.0-77953249317OAI: diva2:457835

QC 20111123

Available from: 2011-11-20 Created: 2011-11-20 Last updated: 2014-04-11Bibliographically approved

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Eshagh, Mehdi
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Geodesy (closed 20110301)
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