Self-similarity dimensions of the Taiwan Island landscape

Computers and Geosciences

Volumn 25, Issue 9, 1999, Pages 1043-1050

  Cheng, Y C ^a   Lee, P J ^a   Lee, T Y ^a  

^a NATIONAL CHENG KUNG UNIVERSITY   (Taiwan)

Author keywords

Digital terrain model; Fractal; Self similarity; Taiwan

Indexed keywords

DIGITAL TERRAIN MODEL; FRACTAL ANALYSIS; LANDSCAPE EVOLUTION;

TAIWAN;

EID: 0033384486     PISSN: 00983004     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0098-3004(99)00065-5     Document Type: Article

References (23)

1. Brown S.R. Barton C.C., La Pointe P.R. Measuring the dimension of self-affine fractals: examples of rough surfaces. Fractals in the Earth Sciences. 1995;77-87 Plenum Press, New York.
2. Carr J.R., Benzer W.B. On the practice of estimating fractal dimension. Mathematical Geology. 23:(7):1991;945-958.
3. Chan, D., 1992. The fractal geometry and its geomorphologic meanings of Taiwan. M.Sc. thesis, Department of Earth Sciences, National Cheng Kung University (in Chinese; 103 pp.).
4. Chao, P.W., 1995. Landform simulation and the fractal properties of the topography of Taiwan. M.Sc. thesis, Department of Earth Sciences, National Cheng Kung University (in Chinese; 100 p.).
5. Clarke K.C. Computation of the fractal dimension of topographic surfaces using the triangular prism surface area method. Computers & Geosciences. 12:(6):1986;713-722.
6. Culling W.E.H., Datko M. The fractal geometry of soil-covered landscape. Earth Surface Process and Landform. 12:1987;369-385.
7. Falconer K. Fractal Geometry: Mathematical Foundations and Applications. 1993;John Wiley & Sons, New York, 288 pp.
8. Gallant J.C., Moore J.D., Hutchinson M.F., Gessler P. Estimating fractal dimension of profiles: a comparison of methods. Mathematical Geology. 26:(4):1994;455-481.
9. Goodchild M.F. Fractals and the accuracy of geographical measures. Mathematical Geology. 12:(2):1980;85-98.
10. Goodchild M.F. The fractional Brownian process as a terrain simulation model: modeling and simulation. Proceedings of the 13th Annual Pittsburgh Conference. vol. 13:1982;1133-1137.
11. Goodchild M.F. Lakes on fractal surfaces: a null hypothesis for lake-rich landscape. Mathematical Geology. 20:(6):1988;615-630.
12. Isham V. Barndorff-Nielsen O.E., Jensen J.L., Kendall W.S. Statistical aspects of chaos: a review. Networks and Chaos-Statistical and Probabilistic Aspects. 1993;134-136 P.R. Chapman & Hall, London.
13. Klinkenberg B. Fractals and morphometric measures: is there a relationship? Geomorphology. 5:1992;5-20.
14. Lee, T.Y., 1995. Fractal structure of tempo-spatial geo-hydrologic variation and its applications. Ph. D. dissertation, National Cheng Kung University, Tainan, Taiwan, pp. 17-33 (in Chinese).
15. Lifton N.A., Chase C.G. Tectonic, climatic and lithologic influences on landscape fractal dimension and hypsometry: implication for landscape evolution in the San Gabriel Mountains, CA. Geomorphology. 5:1992;77-114.
16. Mandelbrot B.B., Van Ness J.W. Fractal Brownian motions: fractional noises and applications. SIAM Reviews. 10:1968;422-437.
17. Peitgen H.-O., Jürgens H., Saupe D. Chaos and Fractals: New Frontiers of Science. 1992;Springer-Verlag, New York, 984 pp.
18. Rasband S.N. Chaotic Dynamics of Nonlinear Systems. 1990;John Wiley & Sons, New York, 230 pp.
19. Robert A. Estimating fractal dimension with the divider method in geomorphology. Geomorphology. 5:1992;131-141.
20. Stoyan D., Stoyan H. Fractals, Random Shapes and Point Fields: Methods of Geometrical Statistics. 1994;John Wiley & Sons, New York, 406 pp.
21. Wen R., Sinding-Larsen R. Uncertainty in fractal dimension estimated from power spectra and variograms. Mathematical Geology. 29:(6):1997;727-753.
22. Xu T., Moore I.D., Gallant J.C. Fractals, fractal dimensions and landscapes. Geomorphology. 8:1993;245-262.
23. Yeh, P.A., 1994. The fractal geometry and its implications of the Tatun volcanic area, Taiwan. M.Sc. thesis, Department of Applied Geology, National Central University, Taiwan (in Chinese; 90 pp.).