Geology Reference
In-Depth Information
Table 19.1 Number of mineral deposits of selected element groups across (a) Central Africa (CA), (b) Central Africa Shield (CAS) and Congo
Shield (CS). Note that the number of deposits reflected in (a) and (b) exclude those of the Congo Shield
(a) CA
Area in km 2
Au
CrNiPgeTi
CuZPbBa
SnSb
UThRee
Total
Archean
168
34
27
28
7
264
5.04E+05
MPP
96
31
56
110
33
326
2.13E+06
Np
175
42
133
0
44
394
1.40E+06
NprA
51
8
18
9
8
94
7.25E+05
NprP
195
16
44
20
26
301
2.18E+06
Total
685
131
278
167
118
1379
6.94E+06
(b) CAS
Archean
66
1
5
0
5
77
3.96E+05
MPP
94
31
56
107
23
311
1.92E+06
Np
10
1
14
0
0
25
1.54E+05
NprA
51
8
18
9
8
94
7.18E+05
NprP
38
1
7
4
2
52
3.66E+05
Total
259
42
100
120
38
559
3.55E+06
(c) CS
Archean
101
9
43
3
14
170
2.16E+06
MPP
8
2
0
2
5
17
1.26E+05
Np
15
1
9
0
2
27
3.10E+05
NprA
9
1
1
0
1
12
1.03E+05
NprP
0
0
0
0
0
0
4.56E+03
Total
133
13
53
5
22
226
2.70E+06
Bonham-Carter 2001 ), r ij . The spatial coefficient ( r ij )isbased
on the
positive associations are greater than 0, and negative associ-
ations are less than 0; values close to zero indicate an
absence of spatial associations (i.e. reflecting a random
distribution). In a
'
weight of evidence
'
approach (Bonham-Carter 1996 ),
where
ND j
NT i \
D j
=
'
'
approach for evalu-
ating mineral prospectivity, it can be shown that ln r ij is an
approximation for the positive weight W i + , and the evalu-
ation is data-driven (Mihalasky and Bonham-Carter 2001 ,
their Appendix). Alternatively, in an expert system for
evaluating mineral prospects (e.g. PROSPECTOR,
Campbell et al. 1982 )W i + is referred to as the sufficiency
ratio (LS), and it is assigned by an expert (e.g. the evaluation
is knowledge driven by, say, a geologist).
The approximate standard error for ln r ij (Mihalasky and
Bonham-Carter ( 2001 , Appendix) and Bonham-Carter ( 1996 ,
Chap. 9 , this Topic) are given by
weight of evidence
r ij ¼
ATðÞ ;
ATð =
in which A(T i ) is the area of the ith domain (T i ), and A(T )is
the total area of all the domains in the study (A(T )
A
(T i )). N(D j ) is the total number of deposits in the jth element
group (D j ). N(T i \
¼
D j ) represents the number of deposits of
group D j in domain T i .
The spatial coefficient, r ij represents the proportion of
deposits (for example gold—j) of all the jth deposits that
occur in the specified geologic domain (i) per unit area of all
similar geologic groupings. The spatial coefficient range
from 0 to infinity; it is equal to 1 if there is no spatial
association between a geological defined domain and an
element group (e.g. if the proportion of jth mineral is the
same as the proportion of area occupied by the ith). For
values of r ij > 1 (expected number of deposits is greater
than by chance), there is a positive association between
mineral j and geologic domain i; r ij <
s
1
NT i \
s ln r ij ¼
D j
19.4
Results
1 (fewer deposits
expected than by chance) indicates a negative association.
Because all negative associations are compressed in the
range from 0 to 1, and all positive associations fall in the
range of 1 to infinity, we use the natural log of r ij to eliminate
this skewness. ln r ij is now a symmetric value around 0:
The natural log of the spatial coefficients (fingerprint)
between the element group and each geological group (ln r ij )
and its approximate standard errors are given in Table 19.2
and these fingerprints are summarized graphically in
Figs. 19.4 (CA), 19.5 (CAS) and 19.6 (CS).
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