Abstract

The Disjunctive Kriging formalism has been implemented for a number of tasks in geostatistics. Despite the advantages of this formalism, application has been hindered by complex presentations and the lack of simple code. This paper goes through the steps to perform Disjunctive Kriging in a simple case. The global stationary distribution of the variable under consideration is fit by Hermite polynomials. The coefficients of this polynomial expansion fully define the relationship between the original values and their normal score transforms. Disjunctive Kriging amounts to using simple kriging to estimate the polynomial values at unsampled locations. The estimate of the variable is built by linearly combining the estimated polynomial values, weighted by the coefficients of fitting of the global distribution. These estimated values completely define the local distribution of uncertainty. It is straightforward to implement this formalism in computer code; this paper attempts to provide a clear exposition of the theoretical details for confident application and future development.

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