Mathematical Geology

, Volume 24, Issue 4, pp 381–391

Evaluation and comparison of spatial interpolators

  • Dennis Weber
  • Evan Englund

DOI: 10.1007/BF00891270

Cite this article as:
Weber, D. & Englund, E. Math Geol (1992) 24: 381. doi:10.1007/BF00891270


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.

Key words

sampling geostatistics estimators interpolation 

Copyright information

© International Association for Mathematical Geology 1992

Authors and Affiliations

  • Dennis Weber
    • 1
  • Evan Englund
    • 2
  1. 1.Environmental Research CenterUniversity of NevadaLas Vegas
  2. 2.U.S. EPA EMSL-LVLas Vegas

Personalised recommendations