Analysis of nonintrinsic spatial variability by residual kriging with application to regional groundwater levels

Shlomo P Neuman, Elizabeth A. Jacobson

Research output: Contribution to journalArticle

124 Citations (Scopus)

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.

Original languageEnglish (US)
Pages (from-to)499-521
Number of pages23
JournalJournal of the International Association for Mathematical Geology
Volume16
Issue number5
DOIs
StatePublished - Jul 1984

Fingerprint

Spatial Variability
Kriging
Ground Water
kriging
variogram
Variogram
groundwater
aquifer
Regression
Estimate
Semivariogram
analysis
method

Keywords

  • drift
  • groundwater levels
  • kriging
  • nonintrinsic
  • nonstationary
  • residuals
  • Spatial variability

ASJC Scopus subject areas

  • Mathematics (miscellaneous)
  • Earth and Planetary Sciences (miscellaneous)

Cite this

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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.",
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AB - 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.

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