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Evaluation and comparison of spatial interpolators

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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.

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Authors and Affiliations

  1. Environmental Research Center, University of Nevada, 4505 Maryland Parkway, 89154, Las Vegas, Nevada

    Dennis Weber

  2. U.S. EPA EMSL-LV, P.O. Box 93478, 89193, Las Vegas, Nevada

    Evan Englund

Authors
  1. Dennis Weber
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  2. Evan Englund
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Weber, D., Englund, E. Evaluation and comparison of spatial interpolators. Math Geol 24, 381–391 (1992). https://doi.org/10.1007/BF00891270

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  • DOI: https://doi.org/10.1007/BF00891270

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