Geostatistics and Analysis of Spatial Data  Allan Aasbjerg Nielsen
 Abstract  This note deals with geostatistical measures for spatial correlation, namely the autocovariance function and the semivariogram, as well as deterministic and geostatistical methods for spatial interpolation, namely inverse distance weighting, radial basis functions (RBF) and kriging. Some semivariogram 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 stateoftheart 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.  Type  Lecture note  Year  2009 Month October pp. 7  Publisher  Informatics and Mathematical Modelling, Technical University of Denmark, DTU  Address  Richard Petersens Plads, Building 321, DK2800 Kgs. Lyngby  Electronic version(s)  [pdf]  BibTeX data  [bibtex]  IMM Group(s)  Image Analysis & Computer Graphics, Geoinformatics 
