Page 257 - Geochemical Anomaly and Mineral Prospectivity Mapping in GIS
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260                                                             Chapter 8

             SELECTION OF COHERENT DEPOSIT-TYPE LOCATIONS FOR MODELING
                Every mineral deposit, even if classified  into a deposit-type, is unique and  has
             characteristics that are, to a certain extent, dissimilar to other mineral deposits of the
             same type. It follows that multivariate spatial data signatures of deposit-type locations
             are, to a certain extent,  dissimilar or  non-coherent.  Because modeling  of mineral
             prospectivity involves ‘fitting’ (i.e., establishing spatial associations between) a map of
             D  with several  maps of spatial data  of  X i evidential features, dissimilarity (i.e.,
             heterogeneity or non-coherence) of multivariate spatial data signatures of deposit-type
             locations can  undermine the quality of a  data-driven model  of mineral prospectivity.
             Carranza et al. (2008b) have shown that uncertainties of a data-driven model of mineral
             prospectivity can be reduced and that fitting- and prediction-rates of a data-driven model
             of model prospectivity can be improved by using a set of coherent deposit-type locations
             (i.e., with similar multivariate spatial data signatures).
                A two-stage  methodology  for selection  of coherent  deposit-type locations is
             explained and demonstrated here (after Carranza et al., 2008b): (1) analysis of mineral
             occurrence favourability scores of individual spatial data sets with respect to deposit-
             type and non-deposit locations; and (2) analysis of deposit-type locations with similar
             multivariate spatial data signatures. This two-stage methodology is demonstrated in the
             case study area (Aroroy district, Philippines). Before doing so, let us address first the
             issues of (a) increasing the number of locations of the target variable in a study area if it
             is considered and/or found insufficient (e.g., 13 as in the case study area here) to derive,
             depending on the method (Tables 8-I and 8-II), a proper (e.g., statistically significant)
             data-driven model  of mineral prospectivity and  (b) selecting  non-deposit locations
             required in the analysis of  coherent deposit-type locations and in the application  of
             multivariate methods of data-driven modeling of mineral prospectivity (Table 8-II).
                The issue of  increasing the number of locations of the target variable can be
             addressed by considering locations immediately around each of the known deposit-type
             locations as proxy deposit-type locations. This consideration is based on the assumption
             that locations immediately around known deposit-type locations are also probably (albeit
             weakly) mineralised. Thus, given a map of D partitioned into equal-sized unit cells, the
             eight unit cells surrounding  the unit cell representing a  deposit-type location can  be
             considered proxy  deposit-type locations.  (For the case study area, there are 104 (i.e.,
             13×8) proxy deposit-type locations.) Alternatively, an optimum distance buffer around
             each deposit-type location can be sought via point pattern analysis (Boots and  Getis,
             1988; Rowlingson and Diggle, 1993) such that (a) there is zero probability of a
             neighbour deposit-type location within a buffered deposit-type location and (b) based on
             knowledge that mineralisation is a very rare geological phenomenon, the total number of
             unit cells representing deposit-type and proxy deposit-type locations forms a very small
             percentage (say, 1%) of the total number of unit cells in a study area (Carranza and Hale,
             2001b, 2003; Carranza, 2002). The application of proxy deposit-type locations reduces
             artificial spatial associations between evidential data and  deposit-type locations
             (Stensgaard et al., 2006), which usually occur when the number of the latter is small
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