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Multi-criteria analysis in GIS environment for natural resource development - a case study on gold exploration


Integration of pedogeochemical and hydrogeochemical data
The continuous pedogeochemical and hydrogeochemical data were regressed with the binary response variable "deposit proximity". The hydrogeochemical data included water quality parameters: sulphate, chloride, alkalinity, silica, Ca, Mg, Na, K, As and Sb. The pedogeochemical data included concentrations of As, Sb, Hg and Bi. The factor "deposit proximity" was coded using a corridor width of 0.5 km around the known mineral occurrences. Observations falling within this buffer zone were coded to 1, whereas others were coded to 0.

With hydrogeochemical data, the predicted gold occurrences at the ith location was calculated as
Y = bo + åbjXij.

In practice this was carried out by a step-wise method reducing the number of variables and coefficients requiring interpretation. These regression coefficients represent a multi-element geochemical signature for predicting gold mineralization. These predicted values were interpolated for all the pixels. Similar attempt was made for predicting target areas for gold exploration with the pedogeochemical data.

As both the predicted probability maps were not mutually exclusive, given the mineral occurrence map, Bayesian logic which uses conditional probability could not be used. So these maps were integrated with the use of fuzzy logic. As it was found that both the hydrogeohemical-parameters and pedogeochemistry were controlled by the gold mineralization, fuzzy-AND was used in the integration of the above two maps.

Binary Map Analysis
Integration of binary patterns was carried out with the use of conditional probabilities. The method was more convenient to use than multiple regression for two following reasons,
  1. It avoids the requirement to subdivide the region into cells, each cell associated with an attribute. In order to capture the geometrical information, large number of small sampling cells must be created and this is undesirable, because of the resulting large attribute file and degree of spatial auto-correlation (Wackernagel, 1995).

  2. Binary map method is better able to cope with the problem of missing data, as we had. Bayes rule assumes that the patterns are conditionally independent. Chi-square test was carried out to check for the mutual exclusiveness of different maps, given the deposit-proximity map.
  1. Preparation of binary favourable geochemical signature map (FavGeochem) Preparation of a binary favorable geochemical signature map (FavGeochem) was attempted with the use of conditional probabilities. Several maps of different contour-intervals were prepared. In order to determine the optimum cut-offs of contour interval, for classifying patterns into binary maps, the weights W+ and W- were calculated for a succession of cut-offs and under normal conditions, the maximum value of W+ - W- giving the cut-offs at which the predictive power of the resulting pattern is maximized.

  2. Integration of the lineaments and preparation of proximity map (FavLin) As most of the lineaments were assumed to have a control on the disposition of the auriferous lodes, and they were not conditionally independent, these maps were integrated with Fuzzy-OR. Preparation of a binary proximity map for lineament (FavLin) was attempted with the use of conditional probabilities. Several buffer zone of different widths were prepared and an optimum cut-off was selected on the technique as described earlier.

  3. Preparation of binary Favourable lithological map (FavLith)

Similar attempt was made to identify the conditional probability for the rock-type in targeting the gold occurrences. The weights for modelling posterior probabilities of the deposit occurring in 0.9 Km2 area (1 pixel) were as follows

Map-Pattern W+ W-
FavLith 0.457 -0.773
FavGeochem 1.004 -0.103
FavLin 0.668 -0.467

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