Mathematical Geology

, Volume 28, Issue 1, pp 73–86 | Cite as

Comparison of kriging techniques in a space-time context

  • Patrick Bogaert


Space-time processes constitute a particular class, requiring suitable tools in order to predict values in time and space, such as a space-time variogram or covariance function. The space-time co-variance function is defined and linked to the Linear Model of Coregionalization under second-order space-time stationarity. Simple and ordinary space-time kriging systems are compared to simple and ordinary cokriging and their differences for unbiasedness conditions are underlined. The ordinary space-time kriging estimation then is applied to simulated data. Prediction variances and prediction errors are compared with those for ordinary kriging and cokriging under different unbiasedness conditions using a cross-validation. The results show that space-time kriging tend to produce lower prediction variances and prediction errors that kriging and cokriging.

Key words

space-time kriging space-time separability linear coregionalization autokrigeability condition 


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Copyright information

© International Association for Mathematical Geology 1996

Authors and Affiliations

  • Patrick Bogaert
    • 1
  1. 1.Faculté des Sciences AgronomiquesUnité de BiométrieLouvain-la-NeuveBelgium

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