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Triangular Method of Spatial Sampling

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  • Tomasz Bąk

Abstract

In this paper a new adaptive method of spatial sampling - a triangular method of spatial sampling is presented. The theory of this method is developed. Benefits of decreased size of a sample, when this method is used, are discussed. Initial sampling of the first three elements is described and density of sampling at the initial stage is obtained by Monte Carlo method. The density is defined on the basis of the logarithm of inverse square of the Euclidean distance function. Simulation of the triangular method of spatial sampling is conducted. An example is research on a forest. The aim of this research is to approximate the ability of trees to absorb carbon dioxide. In this example the triangular method of spatial sampling is used at the strata sampling stage. Density of sampling in the simulated forest is obtained using Monte Carlo method.

Suggested Citation

  • Tomasz Bąk, 2014. "Triangular Method of Spatial Sampling," Statistics in Transition new series, Główny Urząd Statystyczny (Polska), vol. 15(1), pages 9-22, January.
    • Handle: RePEc:csb:stintr:v:15:y:2014:i:1:p:9-22
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    References listed on IDEAS

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    1. Lorenzo Fattorini, 2006. "Applying the Horvitz-Thompson criterion in complex designs: A computer-intensive perspective for estimating inclusion probabilities," Biometrika, Biometrika Trust, vol. 93(2), pages 269-278, June.
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