Gbm. Heuvelink et Pa. Burrough, ERROR PROPAGATION IN CARTOGRAPHIC MODELING USING BOOLEAN LOGIC AND CONTINUOUS CLASSIFICATION, International journal of geographical information systems, 7(3), 1993, pp. 231-246
When data on environmental attributes such as those of soil or groundw
ater are manipulated by logical cartographic modelling, the results ar
e usually assumed to be exact. However, in reality the results will be
in error because the values of input attributes cannot be determined
exactly. This paper analyses how errors in such values propagate throu
gh Boolean and continuous modelling, involving the intersection of sev
eral maps. The error analysis is carried out using Monte Carlo methods
on data interpolated by block kriging to a regular grid which yields
predictions and prediction error standard deviations of attribute valu
es for each pixel. The theory is illustrated by a case study concernin
g the selection of areas of medium textured, non-saline soil at an exp
erimental farm in Alberta, Canada. The results suggest that boolean me
thods of sieve mapping are much more prone to error propagation than t
he more robust continuous equivalents. More study of the effects of er
rors and of the choice of attribute classes and of class parameters on
error propagation is recommended.