Gbm. Heuvelink, IDENTIFICATION OF FIELD ATTRIBUTE ERROR UNDER DIFFERENT MODELS OF SPATIAL VARIATION, International journal of geographical information systems, 10(8), 1996, pp. 921-935
Recent developments in theory and computer software mean that it is no
w relatively straightforward to evaluate how attribute errors are prop
agated through quantitative spatial models in GIS. A major problem, ho
wever, is to estimate the errors associated with the inputs to these s
patial models. A first approach is to use the root mean square error,
but in many cases it is better to estimate the errors from the degree
of spatial variation and the method used for mapping. It is essential
to decide at an early stage whether one should use a discrete model of
spatial variation (DMSV - homogeneous areas, abrupt boundaries), a co
ntinuous model (CMSV - a continuously varying regionalized variable he
ld) or a mixture of both (MMSV - mixed model of spatial variation). Ma
ps of predictions and prediction error standard deviations are differe
nt in all three cases, and it is crucial for error estimation which mo
del of spatial variation is used. The choice of model has been insuffi
ciently studied in depth, but can be based on prior information about
the kinds of spatial processes and patterns that are present, or on va
lidation results. When undetermined it is sensible to adopt the MMSV i
n order to bypass the rigidity of the DMSV and CMSV. These issues are
explored and illustrated using data on the mean highest groundwater le
vel in a polder area in the Netherlands.