A pereliminary study on non-linear properties of channel longitudinal profiles

Dili Xuebao/Acta Geographica Sinica

Volumn 52, Issue 2, 1997, Pages

  Jin, Desheng ^a   Chen, Hao ^a   Guo, Qingwu ^a  

^a INSTITUTE OF GEOLOGY AND GEOPHYSICS   (China)

Author keywords

Channel profile; Fractal; Non linear

Indexed keywords

EID: 8444220455     PISSN: 03755444     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (44)

1. Mandelbrot B B. The Fractal Geometry of Nature. Freeman, New York, N. Y., 1983. 468.
2. Snow R S, Mayer L ed. Fractal in Geomorphologys. Geomorphology, 1992(5).
3. Mandelbrot B B. How long is the coast of Britain? - Statistical self-similarity and fractional dimension. Science, 1967, 156 : 636-638.
4. Snow R S, Mayer L. Introduction of Fractal in Geomorphology. Gomorphology, 1992(5).
5. Klinkenberg K. Fractals and morphometric measures: is there a relationship? Geomorphology, 1992(5).
6. Willgoose G, Bras R L. Rodrigueziturbe I. The relationship between catchment and hillslope properties: implications of a catchment evolution model. Geomorphology, 1992(5).
7. Chase C G. Fluvial landsculpting and the fractal dimension of topography. Geomorphology, 1992(5).
8. Tarboton D G, Bras R L, Rodrigueziturbe I. A physical basis for drainage density. Geomorphology, 1992(5).
9. Lifton N A, Chase C G. Tectonic, climatic and lithologic influences on landscape fractal dimension and hypsometry: implications for landscape, evolution in the San Gabriel Mountains, California. Geomorphology, 1992(5).
10. Ouchi S, Matsushita M. Measurement of self-affinity on surfaces as a trial application of fractal geometry to landform analysis. Geomorphology, 1992(5).
11. Andrle R. Estimating fractal dimension with the divider method in geomorphology. Geomorphology, 1992(5).
12. Breyer S P, Snow R S. Draninage basin perimeters: a fractal significance. Geomorphology, 1992(5).
13. Reams M W. Fractal dimensions of sinkholes. Geomorphology, 1992(5).
14. Kent C, Wong J. An index of littoral zone complexity and its measurement. Can. J. Fish, Aquat Sci., 1982, 39 : 847-853.
15. Mark D M, Aronson P B. Scale-dependent fractal dimensions of topographic surfaces: An empitical investigation, with applications in geomorphology and computer mapping. Math. Geol. 1984, 16 : 671-688.
16. Culling W E, Datko M. The fractal geometry of the soil-covered landscape. Earth Surf. Proc. Land forms, 1987, 12 : 369-385.
17. Snow R S. Fractal sinuosity of stream channels. Pure Appl. Geophys., 1989, 131 : 99-109.
18. Mandelbrot B B, Wallis J R. Some long-run properties of geophysical records. Water Resour. res., 1969, 5 : 321- 340.
19. Mayer L. Fractal characteristics of desert storm sequences and implications for geomorphic studies. Geomorphology, 1992(5).
20. Snow R S. The Cantor dust model for discontinuity in geomorphic process rates. Geomorphology, 1992(5).
21. Phillips J D. Spatial variaibility of shoreline erosion, Delaware Bay, New Jersey. Assoc. Am. geogr. Ann., 1986, 76 : 50-62.
22. Phillips J D. Erosion and plaform irregularity of an extuareline. Z. Geomorphol Suppl., 1989, 73 : 59-71.
23. Mc Clelland S. Using fractals to measure the progress of erosion. Proc. W. Va. Acad. sci., 1985, 57 : 91-95.
24. Mayer L, Chase C G. Use of fractal dimension on studies of the tectonic mountain fronts -Measurement and interpretations (abstr.). Geol. Soc. Am. Abstr. With Programs. 1989, 21 : A38.
25. Brown S R, scholz C H. Broad bandwidth study of the topography of natural rock surfaces, Geophys. Res., 1985, B90 (12), 575-12, 582.
26. snow R S, Lowell TV, Rupp R F. A field guide: The Kelleys Island glacial grooves, subglacial erosion features on the Marblehead Peninsula, carbonate petrology, and associated paleontology. Ohio J. Sci., 1991, 91 : 16-26.
27. Turcotte E L. A fractal interpretation of topography and geoid spectra on the Earth, Moon, Venus, and Mars. J. Geophys. res., 1987, E92 : 597-601.
28. Burrough P A. Fractal dimensions of landscapes and other environmental data. Nature, 1981, 294 : 240-242.
29. Elliot J K. An investigation of the change in surface roughness through time on the foreland of Austre Oksindbreen, North Norway. Comp. Geosci., 1989, 15 : 209-217.
30. Curl R L. Fractal dimensions and geometries of vaces. Math. geol., 1986, 18 : 765-783.
31. Laverty M. Fractals in Karst. Earth Surf. Proc. Land forms, 1987, 12 : 475-480.
32. Woronow A. Morphometric consistency with the Hausdorff-Besicovich dimension. Math. Geol, 1981, 13 : 201-216.
33. Tarboton D G, Bras R L, rodriguez-Iturbe I. The fractal nature of rive networks. Water Resour. res., 1988, 24 : 1317-1322.
34. Gupta V K, Waymire E. Statistical self-similarity in river networks parameterized by elevation. Water Resour. Res., 1989, 25 : 463-476.
35. La Barbara P, Rosso R. On the fractal dimension of stream networks. Water Resour. Es., 1989, 25 : 735-741.
36. Mesa O J, Gupta V K. On the main channell length-area relationship for channel networks. Water Resour. Res., 1987, 23 : 2119-2122.
37. Robbert A, Roy A G. On the fractal interpretation of the mainstream length-drainage area relationship. Water Resour. Res., 1990, 26 : 839-842.
38. Nikora V I. Fractal sturctures of river plan forms. Water Resour. Res., 1991, 27 : 1327-1333.
39. Robert., Statistical properties of sediment bed profiles in alluvial channels. Math. Geol., 1988, 20 : 205-225.