Page 109 - Geochemical Anomaly and Mineral Prospectivity Mapping in GIS
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108                                                             Chapter 4

             the total variance of the stream sediment uni-element data explained by PC3 compared
             to that explained  by PC4 suggests that  Cu-As anomalies are slightly  more widely
             distributed in the area than As-Ni anomalies. In addition, the magnitude of the loadings
             of Cu and As on PC3 and PC4 suggests that the former is slightly mobile (thus more
             dispersed) than the latter in the surficial environments of the study area. Based on these
             arguments, it can hypothesised that, in terms of indicating presence of epithermal Au
             mineralisation in the area,  (a) the Cu-As association represented by  PC3  are distal
             anomalies whilst the As-Ni association represented by PC4 are proximal anomalies and,
             thus, (b) the latter multi-element association (or PC4) is more important than the former
             multi-element association  (or PC3). Thus,  the scores  of PC3 and  PC4 are  further
             subjected to the concentration-area fractal method for recognition of anomalies, although
             results of analysis based on PC4 scores are explained first followed by results of analysis
             based on PC3.
                The scores of PC3 and PC4 for the  point geochemical data are interpolated via
             inverse distance moving average method to derive continuous geochemical surfaces. In
             addition, the scores of PC3 and PC4 obtained here for the point geochemical data are
             attributed to pixels in the associated stream sediment sample catchment basins to derive
             discrete geochemical surfaces. The multi-element geochemical surfaces are discretised in
             the same way the uni-element geochemical surfaces are  discretised  (see above). The
             plots  of concentration-area  relations for  the multi-element geochemical surfaces are
             shown in Fig. 4-17. Note that the ‘concentration’ variables represented by the PC scores
             do not have the normal concentration units because the PCs are linear combinations of
             the log e-transformed uni-element data. For this reason and because negative PC scores
             cannot be transformed to logarithms, the ‘concentration’ axes of the concentration-area
             plots are not in the logarithmic scale. The PC scores at the breaks in slopes of the straight
             lines fitted to the concentration-area relations represent thresholds that can be used to
             classify the  multi-element association scores into background and anomalous
             populations. The very similar  shapes of the concentration-area curves and the equal
             numbers  of thresholds defined per set of  PC scores represented as continuous and
             discrete geochemical surfaces (Fig.  4-17) suggest that, in this case study, either
             continuous geochemical surfaces or  discrete geochemical surfaces can  be used in the
             concentration-area fractal analysis of geochemical anomalies.
                For the PC4 scores, the thresholds based on analysis of either continuous or discrete
             geochemical surfaces indicate five populations,  which are interpreted,  from lowest to
             highest, as (a) low background, (b) background, (c) high background, (d) low anomaly
             and (e)  high  anomaly. The spatial distributions of the background  and anomalous
             populations of PC4 scores, representing  As-Ni association in stream sediments, show
             some degree  of similarity (Fig. 4-18). For  the PC3 scores, the thresholds  based  on
             analysis of either continuous or discrete geochemical surfaces indicate four populations,
             which are interpreted,  from lowest to highest, as (a) low background,  (b) high
             background, (c) low anomaly and  (d) high  anomaly. The spatial distributions  of the
             background and anomalous  populations of PC3 scores represented as  continuous and
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