An objective method for inductively modelling the distribution of moun
tain land units using GIS managed topographic variables is presented.
The landscape of a small high mountain catchment in the Spanish Pyrene
es, covered with grassland, was classified in tan land units by hierar
chical agglomerative clustering, using a sample of 194 random plots, i
n which classes of vegetation, soils and landforms were defined. Addit
ionally, seven layers of topographic variables (altitude, slope angle,
aspect, solar radiation, topographic wetness index, specific catchmen
t area, and regolith thickness) were created from a Digital Elevation
Model. The affinity of each land unit to the topographic variables was
calculated using Binary Discriminant Analysis (BDA), after dichotomis
ing the latter around their mean values. Then, the distribution of eac
h land unit was predicted by boolean operations combining step by step
distributions for the seven topographic variables ordered, for each u
nit, after the absolute values of the Haberman's residuals in BDA. The
predicted distributions were tested (chi(2)) against that of the obse
rved sampling plots. From the original ten land units, the distributio
ns of eight of them were successfully predicted (four are related to t
he slept sequence, two reflect the water accumulation in the soil, and
two respond to geomorphic processes) while the remaining two had to b
e rejected. Part of the catchment (39%) was not assigned to any land u
nit, probably because more distributed variables accounting for snow d
istribution are necessary.