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Design-based asymptotics for two-phase sampling strategies in environmental surveys

Author

Listed:
  • L. Fattorini
  • M. Marcheselli
  • C. Pisani
  • L. Pratelli

Abstract

SUMMARY We analyse design-based properties of two-phase strategies for estimating totals and nonlinear functions of totals for environmental populations when the sampling schemes are uniquely determined by points placed in the study region. In the first phase, points are located using tessellation stratified sampling, whereas in the second phase a finite population sampling scheme is adopted. We give sufficient conditions on second-phase designs that ensure consistency, and we investigate the variance convergence rate for some familiar schemes.

Suggested Citation

  • L. Fattorini & M. Marcheselli & C. Pisani & L. Pratelli, 2017. "Design-based asymptotics for two-phase sampling strategies in environmental surveys," Biometrika, Biometrika Trust, vol. 104(1), pages 195-205.
    • Handle: RePEc:oup:biomet:v:104:y:2017:i:1:p:195-205.
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    File URL: http://hdl.handle.net/10.1093/biomet/asw062
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    References listed on IDEAS

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    1. Lorenzo Fattorini & Piermaria Corona & Gherardo Chirici & Maria Chiara Pagliarella, 2015. "Design‐based strategies for sampling spatial units from regular grids with applications to forest surveys, land use, and land cover estimation," Environmetrics, John Wiley & Sons, Ltd., vol. 26(3), pages 216-228, May.
    2. L. Barabesi & L. Fattorini & M. Marcheselli & C. Pisani & L. Pratelli, 2015. "The estimation of diversity indexes by using stratified allocations of plots, points or transects," Environmetrics, John Wiley & Sons, Ltd., vol. 26(3), pages 202-215, May.
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