Abstract

We describe the computation of the first Australian quasigeoid model to include error estimates as a function of location that have been propagated from uncertainties in the EGM2008 global model, land and altimeter-derived gravity anomalies and terrain corrections. The model has been extended to include Australia’s offshore territories and maritime boundaries using newer datasets comprising an additional {sim }280,000 land gravity observations, a newer altimeter-derived marine gravity anomaly grid, and terrain corrections at 1^{prime prime }times 1^{prime prime } resolution. The error propagation uses a remove–restore approach, where the EGM2008 quasigeoid and gravity anomaly error grids are augmented by errors propagated through a modified Stokes integral from the errors in the altimeter gravity anomalies, land gravity observations and terrain corrections. The gravimetric quasigeoid errors (one sigma) are 50–60 mm across most of the Australian landmass, increasing to {sim }100 mm in regions of steep horizontal gravity gradients or the mountains, and are commensurate with external estimates.

Highlights

  • We describe the computation of the gravimetric quasigeoid component of AUSGeoid2020, called Australian gravimetric quasigeoid 2017 (AGQG2017), as well as the computation of error estimates as a function of location

  • The GNSSlevelling data file provided by Australian State and Territory geodetic agencies is accompanied by error estimates for the ellipsoidal heights and levelled heights

  • We have described the computation of the gravimetric quasigeoid AGQG2017, as well as the computation of location-dependent error estimates that have been propagated from the combined uncertainties in EGM2008, land and altimeter-derived gravity anomalies, and terrain corrections

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Summary

Introduction

We describe the computation of the gravimetric quasigeoid component of AUSGeoid2020, called Australian gravimetric quasigeoid 2017 (AGQG2017), as well as the computation of error estimates as a function of location ( called geographic specificity by Pavlis and Saleh 2005) These location-specific errors have been propagated from a combination of uncertainties in EGM2008 (Pavlis et al 2012, 2013), land and altimeter-derived gravity anomalies, and terrain corrections (McCubbine et al 2017). AUSGeoid (Brown et al 2011) included a geometric component where the AGQG2009 gravimetric quasigeoid model (Featherstone et al 2011) was distorted to fit the AHD using cross-validated least squares prediction (Featherstone and Sproule 2006) This yielded a surface for the more direct transformation of GNSS-derived ellipsoidal heights to the AHD (cf Milbert 1995; Featherstone 1998, 2008; Smith and Roman 2001), allowing Australian land surveyors to realise AHD heights directly using GNSS, rather than having to apply post-survey adjustments as with previous Australian quasi/geoid models. We have estimated quasigeoid (height anomaly) errors as a function of location (cf. Pavlis and Saleh 2005; Huang and Véronneau 2013) by propagating uncertainties from EGM2008, land and altimeter-derived gravity anomalies, and terrain corrections in a remove–compute–restore (RCR) approach (Sect. 3)

Preliminaries
Gravity data
Synthesis on the topography
Block-averaged ellipsoidal gravity anomalies
GNSS-levelling data
Choice of EGM for the RCR technique
Modified Stokes parameter sweeps
Terrestrial gravity error grid
Quasigeoid error propagation
External validations of the error grid
Critique of the EGM2008 error grid around Australia
Findings
Concluding remarks
Full Text
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