Page 192 - Geochemical Anomaly and Mineral Prospectivity Mapping in GIS
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194                                                             Chapter 7

             cross-validation deposits. The output cross table contains information about number
             (Npix)  of cross-validation known  deposits (au) contained in a class  of prospectivity
             values (proscl). Values in the Npix column of the cross table are joined to a column
             (ndep) in the table histogram of prospectivity values for subsequent calculation of the
             cumulative number of  deposits (ndepc), total number of  deposits (ndept) and the
             proportion  of deposits per prospectivity class (propdep). Values in the column
             propdep are then derived by dividing values in the column ndepc with corresponding
             values in the column ndept. Finally, a prediction-rate graph of propdep values versus
             proparea values is created.
                The  prediction-rate curve  allows estimation  of likelihood of mineral deposit
             discovery according to the prospectivity map. Any point along the prediction-rate curve
             represents a prediction of prospective zones with a corresponding number of delineated
             deposits and number of unit cells or pixels, so the ratio of the former to the latter is
             related to the degree of likelihood of mineral deposit occurrence (or discovery) in the
             delineated  prospective zones. This means that, the higher the value of
             propdep÷proparea of  predicted  prospective zones (Fig.  7-2), the better is the
             prediction. It is, therefore, ideal to obtain a  mineral prospectivity  map with a steep
             prediction-rate curve. However, the performance of a mineral prospectivity  map is
             influenced by (a) the quality of the input spatial data and (b) the way by which evidential
             maps are created (i.e., the number of evidential classes per evidential  map) and
             integrated and, thus, by the modeling technique applied to create a mineral prospectivity
             map. We now turn to the concepts of individual modeling techniques that are applicable
             to knowledge-driven mapping of mineral prospectivity.


             MODELING WITH BINARY EVIDENTIAL MAPS
                In this type of modeling, evidential maps representing  prospectivity recognition
             criteria contain only two classes of evidential scores – maximum evidential score and
             minimum evidential score (Figs. 7-1 and 7-3). Maximum evidential score is assigned to
             spatial data representing presence of indicative geological features and having optimum
             positive spatial association with mineral deposits of the type sought. Minimum evidential
             score is assigned to spatial data representing absence of indicative geological features
             and lacking positive spatial association with mineral deposits of the type sought. There
             are no intermediate evidential scores in  modeling with binary evidential  maps. This
             knowledge-based representation is usually inconsistent with real situations. For example,
             whilst certain  mineral deposits  may actually be associated with certain faults, the
             locations of some  mineral  deposit occurrences indicated in  maps are usually, if not
             always, the surface projections of their positions in the subsurface 3D-space, whereas the
             locations of faults indicated in maps are more-or-less their ‘true’ surface locations (Fig.
             7-3). Thus, for locations  within the range  of  distances to such  faults where  positive
             spatial association with mineral deposits is optimal, the evidential scores should not be
             uniformly equal to the maximum evidential score. Likewise, for locations beyond the
             distance to faults with threshold  optimum  positive spatial association  to the mineral
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