In the stationary case, two parameters are especially interesting when choosing the kriging neighborhood: weight of the mean, which shows how kriging depends on the neighborhood, and slope of the regression, which indicates if the neighborhood is large enough.
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Matheron, G., 1970, The theory of regionalized variables: Centre de Géostatistique, Ecole des Mines de Paris, Fontainebleau, France.
Rivoirard, J., 1984, Le comportement des poids de krigeage, Dr-Ing thesis: Centre de Géostatistique, Ecole des Mines de Paris, Fontainebleau, France.
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Rivoirard, J. Two key parameters when choosing the kriging neighborhood. Math Geol 19, 851–856 (1987). https://doi.org/10.1007/BF00893020