Selected Topics for Further Research - Geomathematics: Theoretical Foundations, Applications and Future Developments - page 499

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Local Singularity

Fig. 12.31 Logarithmically (base 10) transformed simulated element concentration versus local
singularity after single iteration ( k ¼120) with regression line (singularity assumed to be error-
free). The standard deviation of residuals from the best-fitting straight line amounts to 0.25, which
is equal to standard deviation of Gaussian white noise component added in Fig. 12.28 (Source:
Agterberg 2012b , Fig. 8)

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Singularity

Fig. 12.32 Logarithmically (base 10) transformed simulated element concentration versus local
singularity after single iteration ( k ¼1,000) with regression line (singularity assumed to be error-
free). The standard deviation of residuals from the best-fitting straight line amounts to 0.16, which
is less than 0.25 (Source: Agterberg 2012b , Fig. 9)