Mapping the Spatial Distribution of Drainage Density Based on GIS

GIS 기반 유역 배수 밀도의 공간분포도 작성

  • 김주철 (한국수자원공사 Kwater연구원) ;
  • 이상진 (한국수자원공사 Kwater연구원)
  • Received : 2009.10.20
  • Accepted : 2009.11.24
  • Published : 2010.03.30

Abstract

Drainage density, defined as the degree to which a landscape is dissected by streams, is a fundamental property of natural terrain that reflect the comprehensive morphologic response of watershed. In this study the spatial variability of drainage density is analyzed by statistical approach to it and its plotting method is proposed. Overland flow length is confirmed to be a highly variable spatial factor from the result of statistical analysis. Distribution map of drainage density based on spatial autocorrelation length in this study would be a superior tool to the classical definition of drainage density.

하천에 의하여 지면이 절개되는 정도로 정의되는 배수밀도는 유역의 형태학적 응답을 포괄적으로 반영하는 자연 지형의 근본적인 특성으로 알려져 있다. 본 연구에서는 배수밀도에 대한 통계학적 접근방법을 기반으로 해당 지형 인자의 공간적 변동성을 분석하고 이로부터 배수밀도의 공간적 변동성을 도시할 수 있는 방법을 제시하였다. 지표면 유하거리의 통계학적 특성을 분석해 본 결과 이 지형인자는 고도의 공간적 변동성으로 대표되는 자연지형의 고유한 특성들 중 하나임을 확인할 수 있었다. 이로부터 본 연구에서 제시한 분포도 형태의 배수밀도는 고전적인 정의의 배수밀도보다 유용한 도구가 될 수 있을 것으로 판단된다.

Keywords

References

  1. 김주철, 김재한(2007a), "DEM을 이용한 수로망의 형태학적 표현", 한국수자원학회논문집, 40(4), 287-297.
  2. 김주철, 김재한(2007b), "배수밀도와 수원유역의 기하학적 특성을 기반으로 한 배수구조에 대한 해석", 한국수자원학회논문집, 40(5), 373-382.
  3. Bras, R. L.(1990), Hydrology-An introduction to hydrologic science, Addison Wesley, 574.
  4. D'odorico, P., and Rigon, R.(2003), "Hillslope andchannel contributions to the hydrologic response", Water Resources Research, 39(5), 1113.doi:10.1029/2002WR001708.
  5. Di Lazzaro, M.(2008), "Correlation between channel and hillslope lengths and its effects on the hydrologic response", Journal of Hydrology, 362, 260-273. https://doi.org/10.1016/j.jhydrol.2008.08.022
  6. Di Lazzaro, M(2009). "Regional analysis of storm hydrographs in the rescaled width function framework". Journal of Hydrology, doi:10.1016/j.jhydrol.2009.04.027.
  7. Gregory, K. K. and Walling, D. E.(1968) "The variation of drainage density within a catchment", BULL INT ASS SCI HYDROL, 13(2), 61-68. https://doi.org/10.1080/02626666809493583
  8. Gupta, V. K., Waymire, E. and Wang, C. T.(1980), "A Representation of an instantaneous unit hydrograph from geomorphology", Water Resources Research, 16(5), 855-862. https://doi.org/10.1029/WR016i005p00855
  9. Horton, R. E.(1945), "Erosional development of streams and their drainage basins; hydrophysical approach to quantitative morphology", Geological Society of America Bulletin, 56, 275-370. https://doi.org/10.1130/0016-7606(1945)56[275:EDOSAT]2.0.CO;2
  10. Ijjasz-Vasquez, E. J. and Bras, R. L.(1995), "Scaling regimes of local slope versus contributing area in digital elevation models", Geomorphology, 12, 299-311. https://doi.org/10.1016/0169-555X(95)00012-T
  11. Melton, M. A.(1958), "Correlation structure of morphometric properties of drainage systems and their controlling agents", Journal of Geology, 66, 442-640. https://doi.org/10.1086/626527
  12. Madduma Bandara, C. M.(1974), "Drainage density and effective precipitation", Journal of Hydrology, 21, 187-190. https://doi.org/10.1016/0022-1694(74)90036-5
  13. Moglen, G. E., Elthair, E. A., and Bras, R. L.(1998),"On the sensitivity of drainage density to climatechange", Water Resources Research, 34(4),855-862. https://doi.org/10.1029/97WR02709
  14. Montgomery, D. R. and Dietrich, W. E.(1988),"Where do channels begin?", Nature, 336, 232-234.
  15. Montgomery, D. R. and Dietrich, W. E.(1989),"Source area, drainage density, and channel initiation", Water Resources Research, 25(8), 1907-1918. https://doi.org/10.1029/WR025i008p01907
  16. O'Callaghan, J. F. and Mark, D. M.(1984), "Theextraction of drainage networks from digital elevationdata", Computer Vision, Graphics, and ImageProcessing, 28, 324-344.
  17. Rodríguez-Iturbe, I. and Valdes, J. B.(1979), "The geomorphologic structure of hydrologic response", Water Resources Research, 15(6), 1409-1420.
  18. Tucker, G. E. and Bras, R. L.(1998), "Hillslope process, drainage density and landscape morphology", Water Resources Research, 34(10), 2751-2764. https://doi.org/10.1029/98WR01474
  19. Tucker, G. E., Catani, F., Rinaldo, A. and Bras, R. L.(2001), "Statistical analysis of drainage density from digital terrain data", Geomorphology,36,187-202. https://doi.org/10.1016/S0169-555X(00)00056-8
  20. van der Tak, L.D., and Bras, R.L(1990). "Incorporating hillslope effects into the geomorphologic instantaneous unit hydrograph", Water Resources Research, 26(10), pp.2393-2400. https://doi.org/10.1029/WR026i010p02393