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Analysis of nonintrinsic spatial variability by residual kriging with application to regional groundwater levels
Authors:Shlomo P Neuman and Elizabeth A Jacobson
Institution:(1) Department of Hydrology and Water Resources, University of Arizona, 85721 Tucson, Arizona, USA;(2) Present address: Geosciences Research and Engineering Department, Battelle, Pacific Northwest Laboratories, P.O. Box 999, 99352 Richland, Washington, USA
Abstract:A method for obtaining pointwise or spatially averaged estimates of a nonintrinsic function is introduced based on residual kriging. The method relies on a stepwise iterative regression process for simultaneously estimating the global drift and residual semivariogram. Estimates of the function are then obtained by solving a modified set of simple kriging equations written for the residuals. The modification consists of replacing the true variogram in the kriging equations by the variogram of the residual estimates as obtained from the iterative regression process. The method is illustrated by considering groundwater levels in an Arizona aquifer. The results are compared with those obtained for the aquifer by the generalized covariance package BLUEPACK-3D.
Keywords:Spatial variability  nonintrinsic  nonstationary  drift  kriging  residuals  groundwater levels
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