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Systematic sample design for the estimation of spatial means

✍ Scribed by Luis Ambrosio Flores; Luis Iglesias Martínez; Carmen Marín Ferrer

Publisher
John Wiley and Sons
Year
2003
Tongue
English
Weight
158 KB
Volume
14
Category
Article
ISSN
1180-4009

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✦ Synopsis

Abstract

This article develops a practical approach to undertaking systematic sampling for the estimation of the spatial mean of an attribute in a selected area. A design‐based approach is used to estimate population parameters, but it is combined with elements of a model‐based approach in order to identify the spatial correlation structure, to evaluate the relative efficiency of the sample mean under simple random and systematic sampling, to estimate sampling error and to assess the sample size needed in order to achieve a desired level of precision. Using two case studies (land use estimation and weed seedbank in soil) it is demonstrated how the practical basis for the design of systematic samples provided in this work should be applied and it is shown that if the spatial correlation is ignored the sampling error of the sample mean and the sample size needed in order to achieve a desired level of precision with systematic sampling are overestimated. Copyright © 2003 John Wiley & Sons, Ltd.

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