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Obtaining a Balanced Area Sample for the Bureau of Land Management Rangeland Survey

Author

Listed:
  • Cindy L. Yu

    (Iowa State University)

  • Jie Li

    (Iowa State University)

  • Michael G. Karl

    (Denver Federal Center)

  • Todd J. Krueger

    (Iowa State University)

Abstract

In agricultural and environmental surveys, obtaining spatially balanced area samples that are also representative probability samples in the presence of auxiliary variables is a challenge, especially when the study regions have fragmentary boundaries and possess holes of various shapes. This paper describes a sampling procedure that achieves this goal and is implemented in the U.S. Department of the Interior Bureau of Land Management (BLM) Rangeland Survey, a longitudinal environmental survey. This survey aims to assess status and trends of rangeland conditions on BLM-managed lands. In the sampling procedure, we first generate a 10-year master sample using Thiessen polygons and then draw annual samples through rejective sampling techniques using elevation as the auxiliary variable. The resulting annual samples as well as any consecutive multi-year combined samples are spatially well-dispersed and representative probability samples. Details about the sampling design, weighting procedure and replicate variance estimation are provided. Issues related to boundary error, ineligibility and nonresponse are also discussed. Some of the empirical results from the BLM Rangeland Survey are presented. Supplementary materials accompanying this paper appear online.

Suggested Citation

  • Cindy L. Yu & Jie Li & Michael G. Karl & Todd J. Krueger, 2020. "Obtaining a Balanced Area Sample for the Bureau of Land Management Rangeland Survey," Journal of Agricultural, Biological and Environmental Statistics, Springer;The International Biometric Society;American Statistical Association, vol. 25(2), pages 250-275, June.
    • Handle: RePEc:spr:jagbes:v:25:y:2020:i:2:d:10.1007_s13253-020-00392-5
    DOI: 10.1007/s13253-020-00392-5
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    References listed on IDEAS

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    1. Anton Grafström & Niklas L. P. Lundström & Lina Schelin, 2012. "Spatially Balanced Sampling through the Pivotal Method," Biometrics, The International Biometric Society, vol. 68(2), pages 514-520, June.
    2. Stevens, Don L. & Olsen, Anthony R., 2004. "Spatially Balanced Sampling of Natural Resources," Journal of the American Statistical Association, American Statistical Association, vol. 99, pages 262-278, January.
    3. Wayne A. Fuller, 2009. "Some design properties of a rejective sampling procedure," Biometrika, Biometrika Trust, vol. 96(4), pages 933-944.
    4. Lorenzo Fattorini & Timothy G. Gregoire & Sara Trentini, 2018. "The Use of Calibration Weighting for Variance Estimation Under Systematic Sampling: Applications to Forest Cover Assessment," Journal of Agricultural, Biological and Environmental Statistics, Springer;The International Biometric Society;American Statistical Association, vol. 23(3), pages 358-373, September.
    5. Jean-Claude Deville & Yves Tille, 2004. "Efficient balanced sampling: The cube method," Biometrika, Biometrika Trust, vol. 91(4), pages 893-912, December.
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