Error calibration of quasi-geoidal, normal and ellipsoidal heights of Sweden using variance component estimation
DOI:
https://doi.org/10.2478/v10126-010-0001-9Keywords:
combined adjustment, error calibration, singularity, stochastic modelAbstract
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.