Abstract
This study evaluates 15 different estimators to determine their relative merits in estimating block concentrations at contaminant waste sites. The evaluation was based on 54 subsets of data drawn from an exhaustive set of 19,800 data. For each subset, 198 block estimates were made with each estimator. The measurements of estimation quality were a linear loss function and a more standard statistic, the mean square error. The linear loss function showed that seven of the estimators produced scores close enough to be within the same statistical population. Results based on the mean square error were similar. The surprising results of this study were that inverse distance and inverse distance squared both produced better scores than kriging.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
David, M., 1988, Handbook of Applied Advanced Geostatistical Ore Reserve Estimation: Dev. Geomathemat., v. 6, p. 116–118.
Englund, E. J., 1990, A Variance of Geostatisticians: Math. Geol., v. 22, p. 417–456.
Englund, E. J., and Sparks, A. R., 1988, Geo-EAS (Geostatistical Environmental Assessment Software) User's Guide, EPA/600/4-88/033: U.S. EPA, Las Vegas, 174 p.
Englund, E. J., et al., The Effects of Sampling Design Parameters on Block Selection: Math. Geol. In press.
Isaaks, E. H., and Srivastava, R. M., 1989, An Introduction to Applied Geostatistics: Oxford University Press, New York, 561 p.
Journel, A. G., and Huijbregts, Ch. J., 1978, Mining Geostatistics: Academic Press, London, 600 p.
Radian Corporation, 1990, Commercial software available from Radian Corporation for use on mainframe and PC computers.
Rendu, J. M., 1979, Normal and Lognormal Estimation: Math. Geol., v. 11, n. 4, p. 407–422.
Rivoirard, J., 1990, Teacher's Aid: A review of Lognormal Estimators forin situ Reserves: Math. Geol., v. 22, n. 2, p. 213–221.
Singh, A., and Sparks, A., Rank Kriging: An Alternative Nonparametric Geostatistical Method. In preparation.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Weber, D., Englund, E. Evaluation and comparison of spatial interpolators. Math Geol 24, 381–391 (1992). https://doi.org/10.1007/BF00891270
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF00891270