Mathematical Geology

, Volume 25, Issue 8, pp 1015–1026 | Cite as

On the pseudo cross-variogram

  • A. Papritz
  • H. R. Künsch
  • R. Webster


Normal cross-variograms cannot be estimated from data in the usual way when there are only a few points where both variables have been measured. But the experimental pseudo cross-variogram can be computed even where there are no matching sampling points, and this appears as its principal advantage. The pseudo cross-variogram may be unbounded, though for its existence the intrinsic hypothesis alone is not a sufficient stationarity condition. In addition the differences between the two random processes must be second order stationary. Modeling the function by linear coregionalization reflects the more restrictive stationarity condition: the pseudo cross-variogram can be unbounded only if the unbounded correlation structures are the same in all variograms. As an alternative to using the pseudo cross-variogram a new method is presented that allows estimating the normal cross variogram from data where only one variable has been measured at a point.

Key words

cokriging coregionalization cross-correlation temporal change undersampling 


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Copyright information

© International Association for Mathematical Geology 1993

Authors and Affiliations

  • A. Papritz
    • 1
  • H. R. Künsch
    • 2
  • R. Webster
    • 1
  1. 1.Institute of Terrestrial EcologyETH Zürich, Soil PhysicsSchlierenSwitzerland
  2. 2.Seminar for StatisticsETH ZürichZürichSwitzerland

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