PMID: 18725997Aug 30, 2008Paper

Kriging and Semivariogram Deconvolution in the Presence of Irregular Geographical Units.

Mathematical Geology
Pierre Goovaerts

Abstract

This paper presents a methodology to conduct geostatistical variography and interpolation on areal data measured over geographical units (or blocks) with different sizes and shapes, while accounting for heterogeneous weight or kernel functions within those units. The deconvolution method is iterative and seeks the pointsupport model that minimizes the difference between the theoretically regularized semivariogram model and the model fitted to areal data. This model is then used in area-to-point (ATP) kriging to map the spatial distribution of the attribute of interest within each geographical unit. The coherence constraint ensures that the weighted average of kriged estimates equals the areal datum.This approach is illustrated using health data (cancer rates aggregated at the county level) and population density surface as a kernel function. Simulations are conducted over two regions with contrasting county geographies: the state of Indiana and four states in the Western United States. In both regions, the deconvolution approach yields a point support semivariogram model that is reasonably close to the semivariogram of simulated point values. The use of this model in ATP kriging yields a more accurate prediction than a naïve po...Continue Reading

References

Nov 14, 1997·Social Science & Medicine·G Christakos, J J Lai
May 3, 2000·Journal of Exposure Analysis and Environmental Epidemiology·G Christakos, M L Serre
Aug 31, 2004·International Journal of Health Geographics·Olaf Berke
Nov 10, 2004·International Journal of Health Geographics·Gillian A AvruskinJerome O Nriagu

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Citations

Mar 14, 2012·Environmental Monitoring and Assessment·Alexander KolovosGeorge Christakos
Jan 1, 2010·Geographical Analysis·Ruth KerryVania Ceccato
Oct 4, 2011·BMC Medical Research Methodology·Mohammadreza MohebbiDamien Jolley
Feb 16, 2010·Analytical and Bioanalytical Chemistry·Kristin SchaeferStefan Tsakovski

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