Properties and Applications of the Interpolation Variance Associated with Ordinary Kriging Estimates

Jorge Kazuo Yamamoto + and Marcelo Monteiro da Rocha 
Department of Environmental and Sedimentary Geology, Institute of Geosciences, University of Sao Paulo, Brazil. 

Abstract. This paper shows some properties and applications of the interpolation variance. The interpolation variance is a reliable alternative to the kriging variance. The interpolation standard deviation presents correlation with estimates  and also spatial correlation following the spatial pattern of the original data. Moreover, it can also be used for computing the global estimation variance associated with the average value of ordinary kriging estimates. Based on this uncertainty measure we have developed numerical procedures for correcting the smoothing effect of ordinary kriging estimates and backtransforming lognormal kriging estimates. Corrected or backtransformed estimates do not present any bias when compared to classical solutions. Properties and applications of the interpolation variance are illustrated on three data sets presenting different frequency distributions: lognormal, normal and negative skewness. 

Keywords: kriging variance, interpolation variance, smoothing effect, ordinary kriging

In: Wan, Y. et al. (eds) Proceeding of the 8th international symposium on spatial accuracy assessment in natural resources and environmental sciences, World Academic Union (Press).

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