The objective, hence, is to illustrate how the
integration of ELECTRE methods into a GIS does
contribute in land suitability evaluation.
First of all, we process the "classical" procedure
then we apply ELECTRE approach.
The images showing proximity to roads and
hydrographic network were created by rasterizing the
roads and hydrographic vectors and then running
DISTANCE.
The image illustrating the proximity to habitations
and wells were created by using the cost module
using the COSTGROW algorithm.
Running SURFACE on a digital elevation model for
the study area, the image representing the slope
factor was created. The land cover was obtained
from the pedologic map 1/25000. The main types of
soils are:
isohumic,
calcimagnesic,
immature alluvial deposited,
unweathered mineral alluvial deposited,
fersiallitic.
3.1 IDRISI approach
Each of these images expresses the basic nature of
the factors identified in this study. However, using
the weighted linear combination procedure (MCE
module), the factor maps should be standardised to a
consistent range of byte binary integers. In addition,
it requires that each be constructed such that higher
values indicate areas that are more suitable on that
factor.
To develop a set of weights for the factors such that
they add up to 1, the pairwise comparison method
was used (Saaty's technique, WEIGHT module). Weights can
be derived by taking the principal eigenvector of a square
reciprocal matrix of pairwise comparisons between the criteria.
The comparison concern the relative importance of the two
criteria involved in determining suitability for the stated
objective. Ratings are provided on a 9-point continuous scale
[1(equal), 3 (moderate), 5 (strong), 7 (very strong), 9
(extreme)].
The MCE (MultiCriteria Evaluation) process combine the
criteria into a single decision image called "suitability map"
(in the sense that it shows varying degrees of suitability for the
objective under question) in the form of a weighted linear
combination (Voogd, 1983):
ie, $ - Sw, , Where: S=suitability, x; =criterion score of
factor i and w; =weight of factor i (see fig.2).
This procedure is not unfamiliar in GIS and has a form very
similar to the nature of a regression equation.
3.2 ELECTRE approach
Using ELECTRE Tri method we do not have to standardise
the factor maps. However, the image illustrating the
soils should be in a quantitative scale (see fig.3).
Figure 2: IDRISI approach results.
Figure 3: an example of soil scale quantification.
isohumic 4... mme ee ae ps
fersiallitic
calci-
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ELECTRE Tri builds an outranking relation S, i.e., validates or
invalidates the assertion aSb, (and b,Sa), whose meaning is "a
is at least as good as b,"; where F denote the set of the indices
of the criteria 2.82, …— Zn (F={1,2, ..., m}) and B the set of
indices of the profiles defining p+ categories (B(1, 2, ..., p}).
b, being the upper limit of category C, and the lower limit of
category C4«,, h- 1, 2, ..., p (see table 1).
Table 1: profiles evaluations.
Criteria Scale b, b;
Habitation -4234.67/0(m) -1500 -200
road -3471.31/0(m) -800 -200
well -3832.75/0 (m) -1000 -500
hydrography - 3429.65 / 0 (m) -600 . -300
Slope -32 / 0 (96) -20 À
Soil 0-1-5-6-7-9 +4 +6
Preferences restricted to the significance axis of each criterion
are defined through pseudo-criteria. The indifference and
preference thresholds (q,(by) and pj(b) constitute the intra-
criterion preferential information.
At the comprehensive level of preferences, in order to validate
the assertion aSb, (or bpSa), the conditions of concordance and
non-discordance should be verified.
88 International Archives of Photogrammetry and Remote Sensing. Vol. XXXII, Part 7, Budapest, 1998
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