Non-stationary variogram models for geostatistical sampling optimisation: An empirical investigation using elevation data

P.M. Atkinson, Christopher Lloyd

    Research output: Contribution to journalArticle

    43 Citations (Scopus)

    Abstract

    A problem with use of the geostatistical Kriging error for optimal sampling design is that the design does not adapt locally to the character of spatial variation. This is because a stationary variogram or covariance function is a parameter of the geostatistical model. The objective of this paper was to investigate the utility of non-stationary geostatistics for optimal sampling design. First, a contour data set of Wiltshire was split into 25 equal sub-regions and a local variogram was predicted for each. These variograms were fitted with models and the coefficients used in Kriging to select optimal sample spacings for each sub-region. Large differences existed between the designs for the whole region (based on the global variogram) and for the sub-regions (based on the local variograms). Second, a segmentation approach was used to divide a digital terrain model into separate segments. Segment-based variograms were predicted and fitted with models. Optimal sample spacings were then determined for the whole region and for the sub-regions. It was demonstrated that the global design was inadequate, grossly over-sampling some segments while under-sampling others.
    Original languageEnglish
    Pages (from-to)1285-1300
    Number of pages16
    JournalComputers & Geosciences
    Volume33 (10)
    Issue number10
    DOIs
    Publication statusPublished - Oct 2007

    ASJC Scopus subject areas

    • Information Systems
    • Computers in Earth Sciences

    Fingerprint Dive into the research topics of 'Non-stationary variogram models for geostatistical sampling optimisation: An empirical investigation using elevation data'. Together they form a unique fingerprint.

  • Cite this