Abstract
The performance of several variations on ordinary kriging and inverse distance estimators is evaluated. Mean squared errors (MSE) were calculated for estimates made on multiple resamplings from five exhaustive data bases representing two distinctly different types of estimation problem. Ordinary kriging, when performed with variograms estimated from the sample data, was more robust than inverse-distance methods to the type of estimation problem, and to the choice of estimation parameters such as number of neighbors.
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References
Cressie, N., 1985, Fitting Variogram Models by Weighted Least Squares: Math. Geol., v. 17. n. 5.
David, M., 1977,Geostatistical Ore Reserve Estimation: Elsevier Scientific Publishing Co., 364 p.
Englund, E. J., 1990, A Variance of Geostatisticians: Math. Geol., v. 22, p. 417–456.
Englund, E. J., and Sparks, A. R., 1991, Geo-EAS 1.2.1 User's Guide, EPA/600/8-91/008: U.S. EPA, Las Vegas, 132 p.
Englund, E. J., Weber, D. D., and Leviant, N., 1992. The Effects of Sampling Design Parameters on Block Selection: Math. Geol., v. 22. n. 3.
Foley, T. A., 1987, Interpolation and Approximation of 3-D and 4-D Scattered Data: Comput. Math. Appl., v. 12. n. 8, p. 711–740.
Isaaks, E. H., and Srivastava, R. M., 1989,An Introduction to Applied Geostatistics: Oxford University Press, New York, 561 p.
Journel, A. G., and Juijbregts, Ch. J., 1978,Mining Geostatistics: Academic Press, London. 600 p.
Weber, D. D., and Englund, E. J., 1992, Evaluation and Comparison of Spatial Interpolators: Math. Geol., vol. 24. no. 4.
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Notice: Although the research described in this article has been funded in part by the United States Environmental Protection Agency through Cooperative Agreement CR818526 to the Harry Reid Center for Environmental Studies, University of Nevada-Las Vegas, it has not been subjected to Agency review. Therefore it does not necessarily reflect the views of the Agency. Mention of trade names or commercial products does not constitute endorsement or recommendation for use.
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Weber, D.D., Englund, E.J. Evaluation and comparison of spatial interpolators II. Math Geol 26, 589–603 (1994). https://doi.org/10.1007/BF02089243
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DOI: https://doi.org/10.1007/BF02089243