Selected Topics for Further Research - Geomathematics: Theoretical Foundations, Applications and Future Developments - page 494

Fig. 12.25 Realization of
accelerated dispersion
model for d 0 ¼ 0.4, N ¼ 14,
and p ¼ 0.01. Vertical scale
is for 4 + log 10 (Value)
(Source: Agterberg 2007b ,
Fig. 5)

6

4

100

2

50

50

100

3

2.5

2

1.5

1

0.5

0

0 0.5 1 1.5 2 2.5

Log (Value); Log binomial Model

Fig. 12.26 Comparison of largest logarithmically transformed concentration values (base 10) in
experiment of Fig. 12.25 (Source: Agterberg 2007b , Fig. 6)

Because p is small, most element concentration values after 14 iterations are
nearly equal to values that satisfy the original model of de Wijs. As illustrated in
Fig. 12.26 , exceptions are that the largest values, which include (1 + d ) 14 316,

significantly exceed values that would be generated by the original model, which
include (1 + d 0 ) 14

¼

111. A similar effect would occur in the low-value tail. The
frequencies of very small values that are generated exceed those generated by the
ordinary model of de Wijs. Because the lowest concentration values cannot become
negative, they accumulate within an interval that is close to zero. When a logarith-
mic scale is used for value, the pattern that is expected would be similar to that

¼