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    A review of non-stationary spatial methods for geodetic least-squares collocation

    147416_25124_paper_spa_rev_mayWF.pdf (472.1Kb)
    Access Status
    Open access
    Authors
    Darbeheshti, Neda
    Featherstone, Will
    Date
    2010
    Type
    Journal Article
    
    Metadata
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    Citation
    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.
    Source Title
    Journal of Spatial Science
    DOI
    10.1080/14498596.2010.521971
    ISSN
    14498596
    Faculty
    Department of Spatial Sciences
    Faculty of Science and Engineering
    WA School of Mines
    URI
    http://hdl.handle.net/20.500.11937/26916
    Collection
    • Curtin Research Publications
    Abstract

    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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