I'm in a discussion with a colleague who believes that kriging should not be used to interpolate a surface from polygon based data (i.e. with kriging applied to centroids), because this effectively translates the spatial uncertainty inherent in any polygon centroid into data error in the kriged surface. I'm sure he's right in principal but cannot help thinking that the uncertainty-error question should not be an absolute argument against the method give that uncertainty is (a) unavoidable and (b) a function of zone size and the degrees to which the data has already been aggregated. I'd be interested to hear views from others, particularly anyone with good experienced of kriging interpolation.
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