Volume 68, Issue 2

Spatially Balanced Sampling through the Pivotal Method

Anton Grafström

Corresponding Author

Department of Forest Resource Management, Swedish University of Agricultural Sciences, SE‐90183 Umeå, Sweden

email: anton.grafstrom@slu.seSearch for more papers by this author
Niklas L. P. Lundström

Department of Mathematics and Mathematical Statistics, Umeå University, SE‐90187 Umeå, Sweden

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Lina Schelin

Department of Mathematics and Mathematical Statistics, Umeå University, SE‐90187 Umeå, Sweden

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First published: 31 October 2011
Citations: 84

Abstract

Summary A simple method to select a spatially balanced sample using equal or unequal inclusion probabilities is presented. For populations with spatial trends in the variables of interest, the estimation can be much improved by selecting samples that are well spread over the population. The method can be used for any number of dimensions and can hence also select spatially balanced samples in a space spanned by several auxiliary variables. Analysis and examples indicate that the suggested method achieves a high degree of spatial balance and is therefore efficient for populations with trends.

Number of times cited according to CrossRef: 84

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