Mathematical Geology

, Volume 27, Issue 7, pp 831–845 | Cite as

Multifractal modeling and spatial point processes

  • Quiming Cheng
  • Frederik P. Agterberg


The multifractal model can be applied to spatial point processes. It provides new, approximately power-law type, expressions for their second-order intensity and K (r) functions. The box-counting and cluster dimensions are different but mutually interrelated according to multifractal theory. This approach is used to describe the underlying spatial structure of gold mineral occurrences in the Iskut River area, northwestern British Columbia. The box-counting and cluster dimensions for the example are estimated to be 1.335±0.077 and 1.219±0.037, respectively. The relatively strong clustering of the gold deposits is reflected by the fact that both values are considerably less than the corresponding Euclidean dimension (=2).

Key words

fractals multifractal spectrum point patterns second-order intensity box-counting clustering 


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Copyright information

© International Association for Mathematical Geology 1995

Authors and Affiliations

  • Quiming Cheng
    • 1
  • Frederik P. Agterberg
    • 2
  1. 1.Ottawa-Carleton Geoscience CentreUniversity of OttawaOttawaCanada
  2. 2.Geological Survey of CanadaOttawaCanada

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