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Typically, if the value of is known at locations close to ( or in the neighborhood of ) one can constrain the pdf of by this neighborhood: if a high spatial continuity is assumed, can only have values similar to the ones found in the neighborhood.
Conversely, in the absence of spatial continuity can take any value.
The spatial continuity of the random variables is described by a model of spatial continuity that can be either a parametric function in the case of variogram-based geostatistics, or have a non-parametric form when using other methods such as multiple-point simulation or pseudo-genetic techniques.

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