Geostatistics and Analysis of Spatial Data

Allan Aasbjerg Nielsen

AbstractThis note deals with geostatistical measures for spatial correlation, namely the auto-covariance function and the semi-variogram, as well as deterministic and geostatistical methods for spatial interpolation, namely inverse distance weighting, radial basis functions (RBF) and kriging. Some semi-variogram models are mentioned, specifically the spherical, the exponential and the Gaussian models. Equations for simple and ordinary kriging (OK) as well as RBF interpolation are deduced. Other types of kriging are mentioned, and references to international literature, Internet addresses and state-of-the-art software in the field are given. A very simple example to illustrate the computations for OK and a more realistic example with height data from an area near Slagelse, Denmark, are given. A series of attractive characteristics of kriging are mentioned, and a simple sampling strategic consideration is given based on the dependence of the kriging variance of distance and direction to the nearest observations.
TypeLecture note
Year2009    Month October    pp. 7
PublisherInformatics and Mathematical Modelling, Technical University of Denmark, DTU
AddressRichard Petersens Plads, Building 321, DK-2800 Kgs. Lyngby
Electronic version(s)[pdf]
BibTeX data [bibtex]
IMM Group(s)Image Analysis & Computer Graphics, Geoinformatics