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Sampling design optimization for spatial functions

Journal of the International Association for Mathematical Geology

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DOI: 10.1007/BF01029887

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Abstract

A new procedure is presented for minimizing the sampling requirements necessary to estimate a mappable spatial function at a specified level of accuracy. The technique is based on universal kriging, an estimation method within the theory of regionalized variables. Neither actual implementation of the sampling nor universal kriging estimations are necessary to make an optimal design. The average standard error and maximum standard error of estimation over the sampling domain are used as global indices of sampling efficiency. The procedure optimally selects those parameters controlling the magnitude of the indices, including the density and spatial pattern of the sample elements and the number of nearest sample elements used in the estimation. As an illustration, the network of observation wells used to monitor the water table in the Equus Beds of Kansas is analyzed and an improved sampling pattern suggested. This example demonstrates the practical utility of the procedure, which can be applied equally well to other spatial sampling problems, as the procedure is not limited by the nature of the spatial function. ?? 1984 Plenum Publishing Corporation.

Additional Publication Details

Publication type:
Article
Publication Subtype:
Journal Article
Title:
Sampling design optimization for spatial functions
Series title:
Journal of the International Association for Mathematical Geology
DOI:
10.1007/BF01029887
Volume
16
Issue:
4
Year Published:
1984
Language:
English
Publisher location:
Kluwer Academic Publishers-Plenum Publishers
Larger Work Type:
Article
Larger Work Subtype:
Journal Article
Larger Work Title:
Journal of the International Association for Mathematical Geology
First page:
369
Last page:
392
Number of Pages:
24