Page 205 - Geochemical Anomaly and Mineral Prospectivity Mapping in GIS
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Knowledge-Driven Modeling of Mineral Prospectivity                   207

           whereas the locations of faults indicated in maps are more-or-less their ‘true’ surface
           locations. Thus, for locations within the range of distances to certain faults where the
           positive spatial association  with mineral deposits is optimal, the evidential scores
           assigned are highest but these scores decrease slowly from maximum at the threshold
           distance to a lower score at the minimum distance (Fig. 7-8). For locations beyond the
           threshold distance to certain faults, where the positive spatial association with mineral
           deposits is non-optimal, the evidential scores assigned decrease rapidly from maximum
           at the threshold distance to the minimum evidential score at the maximum distance. The
           same line of reasoning can be accorded to multi-class representation of evidence for the
           presence of  surficial geochemical anomalies, which may  be  significant  albeit
           allochthonous  (i.e., located  not  directly over the mineralised source)  (Fig.  7-8). Note,
           therefore, that the graph of multi-class evidential scores versus data of spatial evidence is
           more-or-less consistent with the shapes of the  D curves (Figs.  6-9 to  6-12) in the
           analyses of spatial associations between epithermal  Au  deposit occurrences and
           individual  sets of spatial evidential data in the case study area.  Thus, multi-class
           representation of evidence of mineral prospectivity is suitable in cases where the level of
           knowledge applied is  seemingly complete and/or  when  the accuracy  or resolution  of
           available spatial data is satisfactory.  We  now turn to the individual  techniques for
           knowledge-based multi-class representation and integration of spatial evidence that can
           be used in order to derive a mineral prospectivity map.

           Multi-class index overlay modeling
                                                                      th
              This is an extension of binary index overlay modeling. Each of the j  classes of the
            th
           i  evidential map is assigned a score S ij according to their relevance to the proposition
           under examination. The class scores assigned can be positive integers or positive real
           values. There is no restriction on the range of class scores, except that the range of class
           scores in every evidential map must be compatible (i.e., the same minimum and
           maximum values). This means that it is impractical to control the relative importance of
           an evidential map in terms of the proposition under consideration by making the range of
           its class scores different from the range of class scores in another evidential map. The
           relative importance of an evidential map compared to each of the other evidential maps
           is controlled by assignment of weights W i, which are usually positive integers. Weighted
           evidential  maps are then combined using  the following equation, which calculates an
           average weighted score ( S ) for each location (Bonham-Carter, 1994):

               n
                S
              ¦ ij W i
            S =  i                                                             (7.2)
                n
                 W
               ¦ i
                i

           The output value  S  for each location is the sum of the products of S ij and W i in each
           evidential map divided by the sum of W i for each evidential map. Recent examples of
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