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http://dx.doi.org/10.3741/JKWRA.2011.44.10.831

Analysis of Characteristics in Ara River Basin Using Fractal Dimension  

Hwang, Eui-Ho (Korea Institute of Water and Environment, Korea Water Resources Corporation)
Lee, Eul-Rae (Korea Institute of Water and Environment, Korea Water Resources Corporation)
Lim, Kwang-Suop (Korea Institute of Water and Environment, Korea Water Resources Corporation)
Jung, Kwan-Sue (Department of Civil Engineering, Chungnam National University)
Publication Information
Journal of Korea Water Resources Association / v.44, no.10, 2011 , pp. 831-841 More about this Journal
Abstract
In this study, with the assumption that the geographical characteristics of the river basin have selfsimilarity, fractal dimensions are used to quantify the complexity of the terrain. For this, Area exponent and hurst exponent was applied to estimate the fractal dimension by using spatial analysis. The result shows that the value of area exponent and hurst exponent calculated by the fractal dimension are 2.008~2.074 and 2.132~2.268 respectively. Also the $R^2$ of area exponent and hurst exponent are 94.9% and 87.1% respectively too. It shows that the $R^2$ is relatively high. After analyzing the spatial self-similarity parameter, it is shown that traditional urban area's moderate slope geographical characteristic closed to 2D fractal in Ara water way. In addition, the relation between fractal dimension and geographical elements are identified. With these results, fractal dimension is the representative value of basin characteristics.
Keywords
fractal dimension; ara river; self-similarity; hurst exponent;
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Times Cited By KSCI : 1  (Citation Analysis)
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1 La Barbera, P., and Rosso, R. (1989). On the fractal dimension of stream networks. Water Resour. Res., Vol. 25, No. 4, pp. 735-741.   DOI
2 Rosso, R., Bacchi, B., and Barbera, P. (1991). Fractal relation mainstream length to catchment area in river networks. Water Resour. Res., Vol. 27, No. 3, pp. 381-387.   DOI
3 권기욱(2005). 프랙탈 기법에 의한 지형복원에 관한 연구. 박사학위논문, 영남대학교.
4 전민우, 송재우(1999). 하천 수계망과 본류 하천길이의 Fractal차원. 대한토목학회논문집, 대한토목학회, 제 19권, 제2-3호, pp. 285-295.
5 홍일표, 고재웅(1999). 하천의 프랙탈 특성을 고려한 지형학적 순간단위도의 개발(I). 한국수자원학회논문집, 한국수자원학회, 제32권, 제5호, pp. 565-577.
6 김병식, 김형수, 서병하(2004). 허스트 지수 산정 방법에 대한 고찰. 한국수자원학회논문집, 한국수자원학회, 제37권, 제12호, pp. 993-1007.   과학기술학회마을   DOI
7 Hurst, H.E. (1951). Long term storage capacity of reservoirs, Trans. Am. Soc. Civ. Eng., Vol. 116, pp. 770-779.
8 국토해양부, (2011). "아라천 하천기본계획 보고서."
9 인천시, (2005). "굴포천하천정비기본계획(보완) 보고서."
10 Horton, R.E. (1945). Erosional development of streams and their drainage basins: Hydrolophysical approach to quantitative morphology. Geological Society of American Bulletin, Vol. 56, pp. 275-370.   DOI
11 Feller, W. (1951). The asymptotic distribution of the range of sums of independent random variables. Ann. Math. Stat., Vol. 22, pp. 427-432.   DOI
12 Moran, P.A.R. (1959). "The Theory of Storage." London, Mettven.
13 Annis, A.A., and Lyoyed, E.H. (1953). On the Range Partial Sums of a Finite Number of Independent Random Variable. Biometrika, Vol. 40, pp. 35-42.   DOI
14 Mandelbrot, B.B., and Van Ness J.W. (1968). Fractional Brownian motions, Fractional Gaussian noises and applications. SIAM Rev, Vol. 10, No. 4, pp. 422-437.   DOI
15 Mandelbrot, B.B. and Wallis, J.(1968). Noah, Joseph, and operation hydrology, Water Resour, Res., Vol. 4, No. 5, pp. 909-918.   DOI