A review of non-stationary spatial methods for geodetic least-squares collocation
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Darbeheshti, Neda and Featherstone, Will. 2010. A review of non-stationary spatial methods for geodetic least-squares collocation. Journal of Spatial Science. 55 (2): pp. 185-204.
Journal of Spatial Science
Department of Spatial Sciences
Faculty of Science and Engineering
WA School of Mines
This paper reviews a field that is herein termed spatial ?non-stationarity?, which is specifically concerned with non-stationarity in the geodetic theory of least-squares collocation (LSC). In practice, many geodesists rely on stationary assumptions in LSC, i.e., using a constant mean and isotropic and spatially invariant covariance for estimation and prediction of geodetic quantities. However, new theories in spatial statistics and geostatistics allow for better statistical methodologies to be used in geodesy. The aim of this paper is to introduce these methodologies and adapt them for dealing with non-stationarity in LSC.
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Darbeheshti, Neda (2009)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 ...
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