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Mathematical Geology

, Volume 34, Issue 7, pp 797–808 | Cite as

On the Structural Link Between Variables in Kriging with External Drift

  • Jacques Rivoirard
Article

Abstract

Kriging with external drift allows one to estimate a target variable, accounting for a densely sampled auxiliary variable. Contrary to cokriging, kriging with external drift does not make explicit the structural link between target variable and auxiliary variable, for the latter is considered to be deterministic. In this paper, we show that kriging with external drift assumes implicitly an absence of spatial dependence between the auxiliary variable and the residual of the linear regression of target variable on auxiliary variable at same point. This is the simple model with orthogonal residual, where cokriging is collocated and coincides with kriging of the residual. In this model, the cross-structure is proportional to the structure of the auxiliary variable, and the linear regression of target variable on auxiliary variable does not depend on the support.

cokriging Markov models regression residual 

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Copyright information

© International Association for Mathematical Geology 2002

Authors and Affiliations

  • Jacques Rivoirard
    • 1
  1. 1.Centre de GéostatistiqueEcole des Mines de ParisFontainebleau CedexFrance

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