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The Analysis of Fractal Dimension on the Main-Stream Length using Digital Elevation Model

수치고도모형을 이용한 본류하천길이에 관한 프랙탈 차원의 해석

  • Published : 2002.09.01

Abstract

Recently, GIS(Geographic Information System) is used to extract various hydrological factors from DEM(Digital Elevation Model) in river basin. Therefore, this study aims at the determination of river fractal dimension using DEM. In this paper, the main-stream length in river basin was grid-analyzed for each scale(1/5,000, 1/25,000, 1/50,000) and each cell size(5m$\times$5m, l0m$\times$l0m, 20m$\times$20m, 30m$\times$30m, 40m$\times$40m, 50m$\times$50m, 60m$\times$60m, 70m$\times$70m, 80m$\times$80m, 90m$\times$90m, 100m$\times$l00m, 120m$\times$120m, 150m$\times$150m) using GIS. Also, fractal dimension was derived by analyzing correlation among main-stream lengths, scale, and cell size which were calculated here. The result of calculating fractal dimension for each cell size shows that the fractal dimension on the main-stream length is 1.028.

Keywords

References

  1. ESRI, 1991, Surface Modeling with TIN. Redland CA., ESRI Inc..
  2. Richardson, L. F., 1961, The Problem of Contiguity : An Appendix of Statistics of Deadly Quarrels, Gen. Syst, Yearb., 6, 139-187.
  3. Mandelbrot, B. B., 1983, The Fractal Geometry of Nature, New York : W. H. Freeman, P. 111.
  4. Hjelrnfelt, A. T., 1988, Fractals and the River Length-Catchment Area Ratio, Water Resour. Bull., 24, 455-370. https://doi.org/10.1111/j.1752-1688.1988.tb03005.x
  5. Tarboton, D. G., R. L. Bras, and I. Rodriguez-Itrube, 1988, The Fractal Nature of River Networks, Water Resources Research, 24(8), 1317-1322. https://doi.org/10.1029/WR024i008p01317
  6. P. La Barbera, and Ross, R., B. Bacchi, 1991, Fractal Relation of Mainstream Length to Catchment Area in River Networks, Water Resources Research, 27(3), 381-387. https://doi.org/10.1029/90WR02404
  7. Nikora, V. I., 1994, On Self-Similality and Self-Affinity of Drainage Basins, Water Resources Research, 30(1), 133-137. https://doi.org/10.1029/93WR02017
  8. 전민우, 조원철, 1992, 지형도 축척제 따르는 하천 수로망과 본류 하천길이에 관한 Fractal Dimension, 대한토목학회논문집, 대한토목학회, 12(4-1), 97-106.
  9. 성기원, 1994, 유역의 자기상사성을 이용한 수문지형학적 응답의 해석, 박사학위논문, 서울대학교.
  10. 고영찬, 1996, 하천차수를 고려한 프랙탈 차원의 산정 및 적용, 박사학위논문, 서울대학교.
  11. Robert, A., and A. G. Roy, 1990, On the Fractal Interpretation of the Main-stream Length-Drainage Area Relationship, Water Resources Research 26(5), 839-842. https://doi.org/10.1029/WR026i005p00839