Page 299 - Geochemical Anomaly and Mineral Prospectivity Mapping in GIS
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302                                                             Chapter 8

                Comparing and contrasting the performance of the map of discriminant scores in Fig.
             8-22A with the map of integrated Bel in Fig. 8-19A, both of which are created using 86
             coherent proxy-deposit-type locations, show the following. It is apparent that the former
             is better than the latter because, if 40% of the case study area is considered prospective,
             then the map of  discriminant scores in Fig. 8-22A delineates correctly 100% of the
             training coherent proxy  deposit-type locations and  100% of the testing deposit-type
             locations (Fig. 8-22B), whereas the map of integrated  Bel in Fig.  8-19A  delineates
             correctly 93% of the training coherent proxy  deposit-type locations and 85% of the
             testing deposit-type locations (Fig. 8-19B). However, If 10-20% of the case study area is
             considered prospective, then the map of integrated Bel in Fig. 8-19A delineates correctly
             35-65% of the training coherent proxy deposit-type locations and 39-54% of the testing
             deposit-type locations (Fig. 8-19B), whereas the map of discriminant scores in Fig. 8-
             22A delineated correctly 20-54% of the training coherent proxy deposit-type locations
             and 42-50% of the testing deposit-type locations (Fig. 8-22B). If 5% of the study area is
             considered prospective, then the map of integrated Bel in Fig. 8-19A delineates correctly
             26% of the training coherent proxy deposit-type locations and  31% of the testing
             deposit-type locations (Fig. 8-19B), whereas the map of discriminant scores in Fig. 8-
             22A delineated correctly 10% of the training coherent proxy deposit-type locations and
             23% of the testing  deposit-type locations (Fig.  8-22B). Therefore,  because mineral
             prospectivity  mapping aims to constrain the  sizes of exploration targets in order  to
             increase the chance  of mineral deposit discovery, the cross-validation  results indicate
             that the map of integrated Bel in Fig. 8-19A is a better predictive model of epithermal
             Au prospectivity in the case study area compared to the map of discriminant scores in
             Fig. 8-22A.
                The poorer model performance of the map of discriminant scores in Fig. 8-22A
             compared to the map of integrated Bel in Fig. 8-19A can probably be ascribed to the use
             of training  data sets with (almost) equal  numbers of  deposit-type locations and  non-
             deposit locations in the application  of LDA. In contrast, note that the data-driven
             estimates of EBFs are  based on all non-deposit locations (see equations  (8.8b) and
             (8.9b)). In addition, Skabar  (2005)  demonstrated that,  in contrast to the  findings  of
             Brown et al. (2000) and Porwal et al (2003a), using a training set of known deposit-type
             and all known non-deposit locations  optimises the performance of artificial neural
             networks in data-driven modeling of prospectivity. Further experiments, explained in the
             following paragraphs, were performed in order to show that the arguments of Skabar
             (2005) for the application of artificial neural  networks to data-driven modeling of
             mineral prospectivity are also valid for the application of LDA to data-driven modeling
             of mineral prospectivity.
                The part of the study area with data for all predictor variables consists of 9719 unit
             cells (each measuring 100×100 m). Thus, training data set A is modified to training data
             set AA, which now consists of  79 randomly-selected proxy deposit-type locations and
             9640 non-deposit locations; whilst training set B is modified to training set BB, which
             now consists of 86 coherent proxy deposit-type locations and 9633  non-deposit
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