Multifractal Simulation of Geochemical Map Patterns
Using a simple multifractal model based on the De Wijs model, various geochemical map patterns for element concentration values are being simulated. Each pattern is self-similar on the average in that a similar pattern can be derived by application of the multiplicative cascade model used to any small subarea on the pattern. In other experiments, the original, self-similar pattern is distorted by superimposing a 2dimensional trend pattern and by mixing it with a constant concentration value model. It is investigated how such distortions change the multifractal spectrum estimated by the 3-step method of moments.
KeywordsFractal Dimension Multifractal Spectrum Histogram Method Singularity Exponent Geochemical Pattern
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