Abstract
Kriging, a spatial interpolation technique, was named in honour of the South African mining engineer, Danie Krige. His University of the Witwater srand (Wits) Master's thesis led to the theoretical development of kriging by Georges Matheron who, in 1968, created the Centre de Gรฉostatistique in Fontainebleau, France.
Matheron's terminology, krigeage ponctuel and krigeage de bloc, can be mis leading. With "point" kriging, the target and the samples used to estimate its value are similar in size, whereas block kriging refers to the case in which the dimensions of the target are considerably larger than those of the corre sponding samples.
Size and dimensions, however, do not provide the full picture. Support accounts not only for these properties but also the shape and orientation of the spatial entity, say v โ R, under consideration. More formally, support is an equivalence relation, R, such that v(s) R v(sโฒ) iff โ h โ Rm such that v(sโฒ) = v(s + h). Such ideas will be explored in more detail during the seminar.
Banner image by: Pedro Pinto Correia, Cropped, CC-BY-SA-3.0