Mathematical Geology

, Volume 26, Issue 2, pp 197–204

On a controversial method for modeling a coregionalization


  • P. Goovaerts
    • Geological and Environmental Sciences DepartmentStanford University

DOI: 10.1007/BF02082763

Cite this article as:
Goovaerts, P. Math Geol (1994) 26: 197. doi:10.1007/BF02082763


This paper reviews two alternative approaches for modeling the (cross) variograms in a coregionalization: (1) fitting the traditional linear model of coregionalization. or (2) deducing the crossvariogram model as a linear combination of prior direct (auto) variogram models while checking the Cauchy-Schwarz inequalities. We show that the second approach has no practical advantage over the traditional one and may not be valid if more than two variables are involved. In such case. Cauchy-Schwarz inequalities are necessary but not sufficient conditions for validity of a coregionalization model.

Key words

linear model of coregionalizationCauchy-Schwarz inequalitypositive definiteness

Copyright information

© International Association for Mathematical Geology 1994