A New Method for Handling the Nugget Effect in Kriging
P. Krivoruchko, A. Gribov, J. M. Ver Hoef, 2006. "A New Method for Handling the Nugget Effect in Kriging", Stochastic Modeling and Geostatistics: Principles, Methods, and Case Studies, Volume II, T. C. Coburn, J. M. Yarus, R. L. Chambers
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This chapter discusses methods for estimating the nugget in semivariogram models. Commonly used exact and filtered kriging methods are compared with an alternative method, which predicts a new value at the sampled location. Using the alternative method, estimation at a location where data have been collected involves predicting the smooth underlying value plus a new observation from measurement error. This is exactly what is necessary for validation and crossvalidation diagnostics. Three examples of using new value kriging are presented that involve comparison of simulated results, porosity estimation for the North Cowden unit in west Texas, and analysis of radiocesium soil-contamination data collected in Belarus after the Chernobyl accident.