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• W2277263756 abstract "Geodesy deals with the accurate analysis of spatial and temporal variations in the geometry and physics of the Earth at local and global scales. In geodesy, least-squares collocation (LSC) is a bridge between the physical and statistical understanding of different functionals of the gravitational eld of the Earth. This thesis speci cally focusses on the [incorrect] implicit LSC assumptions of isotropy and homogeneity that create limitations on the application of LSC in non-stationary gravity eld modelling. In particular, the work seeks to derive expressions for local and global analytical covariance functions that account for the anisotropy and heterogeneity of the Earth's gravity eld. Standard LSC assumes 2D stationarity and 3D isotropy, and relies on a covariance function to account for spatial dependence in the observed data. However, the assumption that the spatial dependence is constant throughout the region of interest may sometimes be violated. Assuming a stationary covariance structure can result in over-smoothing, e.g., of the gravity eld in mountains and under-smoothing in great plains. The kernel convolution method from spatial statistics is introduced for non-stationary covariance structures, and its advantage in dealing with non-stationarity in geodetic data is demonstrated. Tests of the new non-stationary solutions were performed over the Darling Fault, Western Australia, where the anomalous gravity eld is anisotropic and non-stationary. Stationary and non-stationary covariance functions are compared in 2D LSC to the empirical example of gravity anomaly interpolation. The results with non-stationary covariance functions are better than standard LSC in terms of formal errors and cross-validation. Both non-stationarity of mean and covariance are considered in planar geoid determination by LSC to test how differently non-stationarity of mean and covariance affects the LSC result compared with GPS-levelling points in this area. Non-stationarity of the mean was not very considerable in this case, but non-stationary covariances were very effective when optimising the gravimetric quasigeoid to agree with the geometric quasigeoid. In addition, the importance of the choice of the parameters of the non-stationary covariance functions within a Bayesian framework and the improvement of the new method for different functionals on the globe are pointed out." @default.
• W2277263756 created "2016-06-24" @default.
• W2277263756 creator A5020274009 @default.
• W2277263756 date "2009-01-01" @default.
• W2277263756 modified "2023-09-23" @default.
• W2277263756 title "Modification of the least-squares collocation method for non-stationary gravity field modelling" @default.
• W2277263756 cites W107015767 @default.
• W2277263756 cites W111445386 @default.
• W2277263756 cites W11496332 @default.
• W2277263756 cites W122429202 @default.
• W2277263756 cites W134087342 @default.
• W2277263756 cites W1486550746 @default.
• W2277263756 cites W1497893368 @default.
• W2277263756 cites W1510355813 @default.
• W2277263756 cites W1513268242 @default.
• W2277263756 cites W1540596182 @default.
• W2277263756 cites W1542795157 @default.
• W2277263756 cites W1551912584 @default.
• W2277263756 cites W1561207495 @default.
• W2277263756 cites W1574468972 @default.
• W2277263756 cites W1578371888 @default.
• W2277263756 cites W1592037786 @default.
• W2277263756 cites W1596397874 @default.
• W2277263756 cites W1598489261 @default.
• W2277263756 cites W1598538987 @default.
• W2277263756 cites W1610579452 @default.
• W2277263756 cites W1611133743 @default.
• W2277263756 cites W1611786209 @default.
• W2277263756 cites W1620042822 @default.
• W2277263756 cites W1629352100 @default.
• W2277263756 cites W1629794947 @default.
• W2277263756 cites W1632285668 @default.
• W2277263756 cites W1645141038 @default.
• W2277263756 cites W1652207037 @default.
• W2277263756 cites W165346272 @default.
• W2277263756 cites W1657878661 @default.
• W2277263756 cites W1661947358 @default.
• W2277263756 cites W1662930780 @default.
• W2277263756 cites W1673553760 @default.
• W2277263756 cites W1673701908 @default.
• W2277263756 cites W1678486198 @default.
• W2277263756 cites W1678771600 @default.
• W2277263756 cites W1678914244 @default.
• W2277263756 cites W1679049575 @default.
• W2277263756 cites W182503251 @default.
• W2277263756 cites W1828440254 @default.
• W2277263756 cites W1845522740 @default.
• W2277263756 cites W1880690494 @default.
• W2277263756 cites W1892314841 @default.
• W2277263756 cites W1914674302 @default.
• W2277263756 cites W1966382401 @default.
• W2277263756 cites W1967362889 @default.
• W2277263756 cites W1970713466 @default.
• W2277263756 cites W1972746929 @default.
• W2277263756 cites W1973475129 @default.
• W2277263756 cites W1974463601 @default.
• W2277263756 cites W1974964952 @default.
• W2277263756 cites W1976961723 @default.
• W2277263756 cites W1978484700 @default.
• W2277263756 cites W1984195485 @default.
• W2277263756 cites W1985093013 @default.
• W2277263756 cites W1985904445 @default.
• W2277263756 cites W1986830331 @default.
• W2277263756 cites W1991513494 @default.
• W2277263756 cites W1991533288 @default.
• W2277263756 cites W1992467789 @default.
• W2277263756 cites W1993785307 @default.
• W2277263756 cites W1995400151 @default.
• W2277263756 cites W1996014631 @default.
• W2277263756 cites W1996447289 @default.
• W2277263756 cites W1998406198 @default.
• W2277263756 cites W1999523544 @default.
• W2277263756 cites W2001092866 @default.
• W2277263756 cites W2003469569 @default.
• W2277263756 cites W2004024219 @default.
• W2277263756 cites W2006550864 @default.
• W2277263756 cites W2013923435 @default.
• W2277263756 cites W2014384064 @default.
• W2277263756 cites W2014494851 @default.
• W2277263756 cites W2014650445 @default.
• W2277263756 cites W2015199992 @default.
• W2277263756 cites W2016878871 @default.
• W2277263756 cites W2027081786 @default.
• W2277263756 cites W202997588 @default.
• W2277263756 cites W2030597423 @default.
• W2277263756 cites W2033066640 @default.
• W2277263756 cites W2033692400 @default.
• W2277263756 cites W2034261862 @default.
• W2277263756 cites W2035360628 @default.
• W2277263756 cites W2036148958 @default.
• W2277263756 cites W2036969641 @default.
• W2277263756 cites W2037516052 @default.
• W2277263756 cites W2038406882 @default.
• W2277263756 cites W2038639304 @default.
• W2277263756 cites W2040521640 @default.
• W2277263756 cites W2041178793 @default.
• W2277263756 cites W2042638411 @default.
• W2277263756 cites W2043205549 @default.
• W2277263756 cites W2046423386 @default.
• W2277263756 cites W2046461432 @default.

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