publication . Article . 2011

Triangulation based inclusion probabilities: a design-unbiased sampling approach

Lutz Fehrmann; Timothy G. Gregoire; Christoph Kleinn;
Open Access English
  • Published: 03 Jun 2011 Journal: Environmental and Ecological Statistics, volume 19, issue 1, pages 107-123 (issn: 1352-8505, Copyright policy)
  • Publisher: Springer Nature
  • Country: Germany
Abstract
A probabilistic sampling approach for design-unbiased estimation of area-related quantitative characteristics of spatially dispersed population units is proposed. The developed field protocol includes a fixed number of 3 units per sampling location and is based on partial triangulations over their natural neighbors to derive the individual inclusion probabilities. The performance of the proposed design is tested in comparison to fixed area sample plots in a simulation with two forest stands. Evaluation is based on a general approach for areal sampling in which all characteristics of the resulting population of possible samples is derived analytically by means of...
Subjects
free text keywords: Design based inference; Inclusion probability; Delaunay Triangulation; Plot design; Continuous population, Life Sciences; Evolutionary Biology; Mathematical and Computational Biology; Statistics, general; Ecology, Statistics, Probability and Uncertainty, Statistics and Probability, Environmental Science(all), General Environmental Science, Sampling (statistics), Poisson sampling, Sampling design, Systematic sampling, Stratified sampling, Statistics, Econometrics, Cluster sampling, Population, education.field_of_study, education, Mathematics, Line plot survey
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publication . Article . 2011

Triangulation based inclusion probabilities: a design-unbiased sampling approach

Lutz Fehrmann; Timothy G. Gregoire; Christoph Kleinn;