Journal of Wetlands Research (한국습지학회지)

Korean Wetlands Society (한국습지학회)
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Comparative Study on Fractal Dimension Estimation in River Basin

하천의 프랙탈 차원 산정에 대한 비교 연구

  • Park, Jin Sung (Water Resources & Environmental Division, Dongbu Eng. Co.) ;
  • Kim, Hung Soo (Dept. of Civil Engineering, Inha University) ;
  • Ahn, Won Sik (Dept. of Civil Engineering, Suwon University)
  • 박진성 (동부엔지니어링 수자원환경부) ;
  • 김형수 (인하대학교 토목공학과) ;
  • 안원식 (수원대학교 토목공학과)
  • Published : 2003.06.30
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Abstract

The fractal study in river basin has been performed for the sinuosity of an individual stream and bifurcation of the stream network. The previous studies has suggested many methods or equations for the fractal dimension estimation in a river network. This study used those many equations for the estimation of fractal dimensions on the streams such as Bokha, Gonjiam, and Pocheon streams. The estimated dimensions are in the range of 1 to 1.359 for the individual stream and 1.634 to 2 for the stream network. The most of equations were suggested based on the assumption of self-similarity of a river basin for the individual stream and stream network. However, the real river basin could be characterized by self-affinity rather than self-similarity. Even though we estimate the dimensions by using many equations, we could not recommend which one is better equation for the estimation of fractal dimension. This might be from the self-similarity assumption of equations. Therefore, the assumption and research work of self-affinity will be needed for the appropriate estimation of fractal dimension in river basin.

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