On Fractal Dimensions of China's Coastlines
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The fractal dimensions of China's coastlines are preliminarily discussed on the basis of GIS in this paper. Some significant conclusions are drawn. The fractal relationship between the length of China's continental coastline L and the yardstick r is log L = 3.99 − 0.16 log r on the scale 1:2,500,000 map. The fractal relationship between the length of Jiangsu province's coastline and the yardstick may be established as log L = 2.82 − 0.10 log r on the scale 1:50,000 map. Using the divider method, the fractal dimension of China's continental coastline is 1.16, Taiwan Island is 1.04, etc. The fractal dimensions of coastlines of the Bohai sea, the Yellow sea, the East China sea, and the South China sea tend to increase from north to south, indicating that the complexity of China's coastlines increases toward low latitudes. The substantial components of coast, biological function, and climate from north to south result in a change in fractal dimensions along the coasts of China. The fractal dimension of a coastline is different from the average fractal dimension of all its parts. The more parts of a coastline, the larger the difference between the fractal dimension of the original coastline and the average fractal dimension of all its parts. Faults control the basic trends and fractal dimensions of coastlines as a whole in the studied areas of Taiwan Island and Changle-Lufeng. The more the controlling effect of the faults, the smaller the fractal dimension of the coastline. The less the controlling effect of the faults, the larger the fractal dimension of the coastline. The results indicate that the faults control not only the basic trend of a coastline but also the complexity in the studied areas of Taiwan Island and Changle-Lufeng.
- Andrle, R., 1996, The west coast of Britain: Statistical self-similarity vs. characteristic scales in the landscape: Earth Surf. Proc. Landforms, v. 21, no. 10, p. 955-962.
- Carr, J. R., and Benzer, W. B., 1991, On the practice of estimating fractal dimension: Math. Geol., v. 23, no. 7, p. 945-958.
- Chinese Academy of Geology, Institute of Hydrology Geology and Engineering Geology, Institute of Geology, et al., 1990, The Quaternary Map of China: Map Press of China, Beijing. (InChinese)
- Department of Research and Development of National Remote Sensing Center, Institute of Remote sensing Application Academia Sinica, 1994, The Atlas of Geo-Science Analyses of Landsat Imagery in China: Science Press, Beijing, p. 196-197. (In Chinese)
- Goodchild, M. F., 1980, Fractals and the accuracy of geographical measures: Math. Geol., v. 12, no. 2, p. 85-98.
- Grassberger, P., 1983, On efficient box counting algorithms: Int. J. Mod. Phys. C, v. 4, no. 3, p. 515-523.
- Jay, G., and Xia, G. G., 1996, Fractals in physical geography: Prog. Phys. Geogr., v. 20, no. 2, p. 178-191.
- Jiang, J. W., and Plotnick, R. E., 1998, Fractal analysis of the complexity of United States coastlines: Math. Geol., v. 30, no. 5, p. 535-546.
- Korin, G., 1992, Fractal models in the earth sciences: Elsevier, New York, 396 p.
- Mandelbrot, B. B., 1967, How long is the coast of Britain? Statistical self-similarity and fractional dimension: Science, v. 156, no. 3775, p. 636-638.
- Mandelbrot, B. B., 1982, The fractal geometry of nature: W. H. Freeman, San Francisco, 468 p.
- Paar, V., Cvitan, M., Ocelic, N., and Josipovic, M., 1997, Fractal dimension of coastline of the Croatian island Cres: Acta Geogr. Croatica, v. 32, p. 21-34.
- Pennycuick, C. J., and Kline, N. C., 1986, Units of measure for fractal extent, applied to coastal distribution of bald eagle nets in the Aleutian Islands, Alaska: Oecologia (Berlin), v. 68, no. 2, p. 254-258.
- Philips, J. D., 1986, Spatial analysis of shoreline erosion, Delaware Bay, New Jersey: Ann. Assoc. Am. Geogr., v. 76, p. 50-62.
- Philip, S. R., 1994, Structural and lithological controls on coastline profiles in Fife, Eastern Britain: Terra Res., v. 6, no. 3, p. 251-254.
- Qiu, H., 1988, Measuring the Louisiana coastline—An application of fractals, in the association of American geographers cartography specialty group occasional, Paper 1: Cartography Specialty Group of the Association of American Geographers, Washington DC, p. 1-10.
- Stomczynski, W., 1999, How long was the coast of Atlantics?: Math. Intell., v. 21, no. 1, p. 38-42.
- Turcotte, D. L., 1992, Fractals and chaos in geology and geophysics: Cambridge University Press, Cambridge, UK, p. 10-80.
- Zhu, X. H., Yang, X. C., Xie, W. J., and Wang, J., 2000, On spatial fractal character of coastline—A case study of Jiangsu province: China Ocean Eng., v. 14, no. 4, p. 533-540.
- On Fractal Dimensions of China's Coastlines
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