Spatial variation of fractal parameters and its geological implications

Terrestrial, Atmospheric and Oceanic Sciences

Volumn 9, Issue 4, 1998, Pages 655-672

  Sung, Q C ^a   Chen, Y C ^a   Chao, P C ^a  

^a NATIONAL CHENG KUNG UNIVERSITY   (Taiwan)

Author keywords

Fractal dimension; Geological implication; Spatial variation

Indexed keywords

EID: 0040041771     PISSN: 10170839     EISSN: None     Source Type: Journal    
DOI: 10.3319/TAO.1998.9.4.655(T)     Document Type: Article

References (25)

1. Agterberg, F. P., 1982: Recent developments in geomathematics. Geoprocessing, 2, 1-32.
2. Ahnert, F., 1984: Local relief and the height limits of mountain ranges. American J. Science, 284, 1035-1055.
3. Burrough, P. A., 1981: Fractal dimensions of landscape and other environment data. Nature, 294, 240-242.
4. Chao, P. C., 1995: Landform simulation and the fractal properties of topography on Taiwan . Master's Thesis, National Cheng Kung University, Tainan, Taiwan.
5. Chase, C. G., 1992: Fluvial landsculpting and the fractal dimension of topography. Geomorphology, 5, 39-57.
6. Culling, W. E. H., 1986: Highly erratic spatial variability of soil-pH on Iping Common, West Sussex. Catena, 13, 81-89.
7. Culling, W. E. H., and Datko, M., 1987: The fractal geometry of the soil-covered landscape. Earth Surface Process and Landfonns, 12, 369-385.
8. Feder, J., 1988: Fractal, Plenum Press, New York, 283pp.
9. Fox, C. G., and Hayes, D. E., 1985: Quantitative methods for analyzing the roughness of the seafloor. Reviews of Geophysics, 23, 1-48.
10. Gallant, J. C., Moore, I. D., Hutchinson, M. F., and Gessler, P., 1994: Estimating Fractal Dimension of Profiles: A Comparison of Methods. Mathematical Geology, 26, 455-481.
11. Ho, C. S., 1982: Tectonic evolution of Taiwan-explanatory text of the tectonic map of Taiwan. Central Geological Survey, 126pp.
12. Klinkenberg, B., and Goodchild, F., 1992: The fractal properties of topography: a comparison of methods. Earth Surf. Process. Landforms, 17, 217-214.
13. Klinkenberg, B., 1992: Fractal and morphometric measures: is there a relationship? Geomorphology, 5, 5-20.
14. Kridge, D. G., 1966: Two-dimensional weighted moving average trend surfaces for ore valuation. J. South African Inst. Mining and Metallurgy Johannesburg, 13-38.
15. Mandelbrot, B. B., 1975: Stochastic models for the Earth's relief, the shape and the fractal dimension of coastlines, and the number-area rule for islands. Proceeding of the National Academy of Sciences USA, 72, 3825-3828.
16. Mandelbort, B. B., 1977: Fractal: Form, Chance and Dimension. W. H. Freeman, San Francisco, 365pp.
17. Mandelbrot, B. B., 1982:The Fractal Geometry of Nature. W. H. Freeman, San Francisco, 468pp.
18. Mandelbort, B. B., and Van Ness, J. W., 1968: Fractal Brownian motions, fractal noises and applications. Siam Review, 10, 422-437.
19. Milne, B. T., 1991: Lessons from applying fractal models to landscape patterns, In: M. G. Turner and R. H. Gardner (Eds.), Quantitative Methods in Landscape Ecology, the Analysis and Interpretation of Landscape Heterogeneity, Springer, New York, 199-235.
20. Pentland, A. P., 1984: Fractal-based description of natural scenes. IEEE PAMI, 6, 661-674.
21. Roy, A. G., Gravel, G. and Gauthier, C., 1987: Measuring the dimension of surface: a review and appraisal of different methods. In: N. R. Chrisman (Eds.), Proc. Automated Cartography, Baltimore, Maryland, 68-77.
22. Teng, L. S., 1990: Geotectonic evolution of late Cenozoic arc-continent collision in Taiwan. Tectonophysis, 183, 57-76.
23. Voss, R. F., 1985: Random fractal forgeries, in Eamshaw, R. A., ed., Fundamental algorithms for computer graphics. NATO ASI Series, F17, 805-835.
24. Wen, R., and Sinding-Larsen, R., 1997: Uncertainty in Fractal Dimension Estimated from Power Spectra and Variograms. Mathematical Geology, 29, 727-753.
25. Xu, T., Moore, I. D., and Gallant J. C., 1993: Fractal, fractal dimension and landscapes - a review. Geomorphology, 3, 245-262.