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TitreMultifractal modeling and spatial statistics
AuteurCheng, Q; Agterberg, F P
SourceMathematical Geology vol. 28, no. 1, 1996 p. 1-16,
Séries alt.Commission géologique du Canada, Contributions aux publications extérieures 20294
ÉditeurSpringer Nature
Documentpublication en série
Mediapapier; en ligne; numérique
Formatspdf (Adobe Acrobat Reader)
Sujetsgéostatistiques; établissement de modèles; géomathématique
Résumé(disponible en anglais seulement)
In general, the multifractal model provides more information about measurements on spatial objects than a fractal model. It also results in mathematical equations for the covariance function and semivariogram in spatial statistics which are determined primarily by the second-order mass exponent. However, these equations can be approximated by power-law relations which are comparable directly to equations based on fractal modeling. The multifractal approach is used to describe the underlying spatial structure of De Wijs 's example of zinc values from a sphalerite-bearing quartz vein near Pulacayo, Bolivia. It is shown that these data are multifractal instead of fractal, and that the second-order mass exponent (=0.979±0.011 for the example) can be used in spatial statistical analysis.