TWO-PHASE SAMPLING STRATEGIES FOR DESIGN-BASED MAPPING OF CONTINUOUS SPATIAL POPULATIONS IN ENVIRONMENTAL SURVEYS
成果类型：
Article
署名作者：
Fattorini, Lorenzo; Franceschi, Sara; Marcheselli, Marzia; Pisani, Caterina; Pratelli, Luca
署名单位：
University of Siena
刊物名称：
ANNALS OF APPLIED STATISTICS
ISSN/ISSBN：
1932-6157
DOI：
10.1214/20-AOAS1392
发表日期：
2021
页码：
287-303
关键词：
摘要：
The estimation of a surface throughout a continuum of points in a study area is addressed by means of two-phase sampling strategies. To this aim, a family of two-phase inverse distance weighting interpolators is introduced, and their design-based asymptotic properties are derived when the surface remains fixed and the number of sample points approaches infinity. In particular, conditions ensuring asymptotic unbiasedness and consistency are derived and are proven to hold for some of the most widely applied environmental sampling schemes. Furthermore, a computationally simple mean squared error estimator is proposed. Finally, a simulation study is performed to assess the theoretical results. The proposed strategy is adopted to provide the map of basal area in a forested region of Casentino Valley (Central Italy).
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