P. Goovaerts et al., FACTORIAL KRIGING ANALYSIS OF SPRINGWATER CONTENTS IN THE DYLE RIVER BASIN, BELGIUM, Water resources research, 29(7), 1993, pp. 2115-2125
This paper describes a geostatistical method, known as factorial krigi
ng analysis, which is well suited for analyzing multivariate spatial i
nformation. The method involves multivariate variogram modeling, princ
ipal component analysis, and cokriging. It uses several separate corre
lation structures, each corresponding to a specific spatial scale, and
yields a set of regionalized factors summarizing the main features of
the data for each spatial scale. The method is applied to springwater
solute contents (Ca, Sr, Mg, K, Na, SO4, NO3 Cl, pH, electrical condu
ctivity, alkalinity) measured in 86 springs situated in the Dyle River
catchment area, Belgium. Two scales of spatial variation (1 and 9 km)
are identified and interpreted. These correspond to local sources of
contaminants due to human activities and regional changes in the geolo
gic characteristics of the aquifer. At each scale, the correlation str
ucture is analyzed and the regionalized factors are estimated by cokri
ging and then mapped. The results are compared with those of a classic
al multivariate approach, i.e., principal component analysis of the co
rrelation matrix, which takes no account of the spatial location of th
e observations.