21. Spatial Designs

  1. Steven K. Thompson

Published Online: 10 FEB 2012

DOI: 10.1002/9781118162934.ch21

Sampling, Third Edition

Sampling, Third Edition

How to Cite

Thompson, S. K. (2012) Spatial Designs, in Sampling, Third Edition, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9781118162934.ch21

Author Information

  1. Simon Fraser University, Canada

Publication History

  1. Published Online: 10 FEB 2012
  2. Published Print: 23 FEB 2012

Book Series:

  1. Wiley Series in Probability and Statistics

Book Series Editors:

  1. Walter A. Shewhart and
  2. Samuel S. Wilks

ISBN Information

Print ISBN: 9780470402313

Online ISBN: 9781118162934



  • decreasing covariance;
  • design-unbiased estimators;
  • kriging prediction methods;
  • local prediction;
  • spatial designs


This chapter begins with a discussion on a design for local prediction and a design for prediction of mean of region. Matérn investigated the efficiency of various sampling designs for predicting the mean over a region, motivated by problems in forestry surveys. Radially symmetric, decreasing covariance functions were assumed. Matérn also considered the related problem of most efficient stratification for stratified random sampling of such populations. The advantage of a systematic sample derives from spreading the sample locations apart when nearby sample units may be positively correlated. A systematic sample is inefficient, however, when the alignment of units coincides with a periodic pattern in the population. McArthur compared several kinds of sampling designs and estimators for estimating the mean concentration of a point-source pollutant over a region. The usual design-unbiased estimators were compared with kriging prediction methods.

Controlled Vocabulary Terms

covariance; estimator