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132                                                             Chapter 5

             TABLE 5-VII

             Values of  M j  (calculated according to equation  (5.5)) for lithologic units (represented by  their
             areas in sample catchment basins) based on subset B of log e -transformed uni-element stream
             sediment data (n=97) at sampling sites underlain by dacitic/andesitic volcano-sedimentary rocks
             (see Fig. 5-7), Aroroy district (Philippines).

                                    M j  values of lithologic units (data subset B; n=97)
                         Mandaon    Aroroy   Sambulawan   Lanang   Nabongsoran   Alluvial
                        Formation   Diorite   Formation   Formation   Andesite   deposits
                 Cu       4.248      4.175     4.074     4.103     3.534     3.045
                 Zn       4.054      3.722     3.677     4.230     4.217     3.989
                 Ni       2.498      2.452     2.523     2.454     2.140     1.609
                 Co       2.873      2.655     3.003     2.838     2.834     2.565
                 Mn       6.669      6.376     6.267     6.816     6.834     6.846
                 As       1.127     -0.405    -0.050     0.937     -0.456    1.099


             lithologic units. The regression coefficients and M j values are more or less similar for the
             Aroroy Diorite and Mandaon, Sambulawan and Lanang Formations. Among the
             lithologic units, excluding the alluvial deposits, the Mandaon Formation seems to be the
             most enriched in As.
                There is either agreement or disagreement between the regression coefficients and
             the M j values, depending on the element and lithologic unit examined (Tables 5-IV to 5-
             VII).  In view of the inconsistencies between the regression coefficients and the  M j
             values, it is instructive to analyse the results further in order to determine whether to use
             the regression coefficients or the M j values for reliable estimates of local uni-element
             background per sample catchment basin. A plausible explanation for the inconsistencies
             between the regression coefficients and M j values can be deduced by plotting (b j – M j)
             against the  percentage of individual lithologic  units in the total area  covered by the
             sample catchment basins (Fig.  5-8)  (cf.  Bonham-Carter et al., 1987). Based on  data
             subset A, there are large differences  (i.e.,⏐  b j –  M j  ⏐> 0.5) between the regression
             coefficients and  M j values if lithologic  units occupy less than  7%  of the total area
             covered by the sample catchment basins (Fig. 5-8A). Based on data subset B, there are
             large differences (i.e.,  ⏐  b j –  M j  ⏐> 0.5)  between the regression coefficients and  M j
             values if lithologic units occupy less than 5% of the total area occupied by the sample
             catchment basins (Fig. 5-8B). From Figs. 5-8A and 5-8B, it is evident that the results for
             data subset A show that the regression coefficients are mostly overestimated and that the
             results for data subset B show that the regression coefficients are mostly underestimated
             if lithologic units occupy,  on average, less than  6% of  the total area covered by the
             sample catchment basins.  In  particular,  regression coefficients  of the independent
             variables with respect to As – the pathfinder element for mineral deposits of interest in
             this case study – are usually either overestimated or underestimated. The plots in Fig. 5-8
             indicate that estimates of the regression coefficients are highly sensitive to variations in
             areal proportions of lithologic units in sample catchment  basins, whilst  the M j values
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