Multi-scale structure of channel network in Jiuyuangou drainage basin

Digital Terrain Analysis (DTA) is an important way for interpreting and understanding natural landform. Scale, an essential subject for realizing pattern and process in nature, is a fundamental issue in DTA. River basins are the basic natural system of many hydrologic phenomena. Multi-scale analysis of channel network can explore structural characteristic and spatial pattern of drainage basin, make basis on drainage evolution and provide suitable scale for drainage research. This paper investigates the structural characteristic of channel network under multiple scales and finds out accurate critical points of scales. Two kinds of lacunarity algorithms, i.e. gliding box algorithm and 3TLQV are adopted. Several conclusions can be drawn from the experiments. Firstly, there are five scale patterns in WE direction and three scale patterns in NS direction in channel network of Jiuyuangou drainage basin. Each scale pattern indicates a kind of hydrologic process. Secondly, anisotropy is between WE and NS direction in channel network. Thirdly, at each scale examined there's fractal pattern and fractal dimensions in different scales have little difference. Fourthly, an effective way for interpreting spatial pattern under different scales is put forward and it can be used for other network, such as ridgelines, population distribution etc.

[1]  Maggi Kelly,et al.  Interpretation of scale in paired quadrat variance methods , 2004 .

[2]  R. L. Shreve Infinite Topologically Random Channel Networks , 1967, The Journal of Geology.

[3]  P. Haggett Network Analysis In Geography , 1971 .

[4]  W. Hargrove,et al.  Lacunarity analysis: A general technique for the analysis of spatial patterns. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[5]  Wang Pei-fa,et al.  Analysis of Scale and Horizontal Resolution of Raster DEM on Extracted Drainage Basin in Characteristics , 2004 .

[6]  A. D. Abrahams Channel Networks: A Geomorphological Perspective , 1984 .

[7]  M. Dale Lacunarity analysis of spatial pattern: A comparison , 2000, Landscape Ecology.

[8]  R. L. Shreve Statistical Law of Stream Numbers , 1966, The Journal of Geology.

[9]  A. Rinaldo,et al.  Fractal River Basins , 2001 .

[10]  R. Haines-Young,et al.  Quantifying landscape structure: a review of landscape indices and their application to forested landscapes , 1996 .

[11]  A. E. Scheidegger Horton's Law of Stream Numbers , 1968 .

[12]  Pinliang Dong,et al.  Lacunarity for Spatial Heterogeneity Measurement in GIS , 2000, Ann. GIS.

[13]  Wang Fu-quan Fractal, self-organization and its physical mechanism of river networks , 2002 .

[14]  WU Xian-feng Effect of horizontal resolution of raster DEM on drainage basin characteristics , 2003 .

[15]  Arthur Newell Strahler,et al.  Introduction to Physical Geography , 1973 .

[16]  A. N. Strahler Hypsometric (area-altitude) analysis of erosional topography. , 1952 .

[17]  M. Morisawa Quantitative Geomorphology of Some Watersheds in the Appalachian Plateau , 1962 .

[18]  R. Horton EROSIONAL DEVELOPMENT OF STREAMS AND THEIR DRAINAGE BASINS; HYDROPHYSICAL APPROACH TO QUANTITATIVE MORPHOLOGY , 1945 .

[19]  C. Allain,et al.  Characterizing the lacunarity of random and deterministic fractal sets. , 1991, Physical review. A, Atomic, molecular, and optical physics.

[20]  Benoit B. Mandelbrot,et al.  Fractal Geometry of Nature , 1984 .

[21]  B. Mandelbrot,et al.  Geometric Implementation of Hypercubic Lattices with Noninteger Dimensionality by Use of Low Lacunarity Fractal Lattices , 1983 .

[22]  Eric J. Gustafson,et al.  Quantifying Landscape Spatial Pattern: What Is the State of the Art? , 1998, Ecosystems.

[23]  Zhu Yong-qing,et al.  Relationship between fractal dimensions of watershed topography characteristics and grid cell size , 2005 .

[24]  R. O'Neill,et al.  Lacunarity indices as measures of landscape texture , 1993, Landscape Ecology.

[25]  R. Horton Drainage‐basin characteristics , 1932 .