黄土高原坡度因子的多重分形谱特征
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S157.1;S157.9

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国家重点研发计划项目“生态技术评价方法、指标体系及全球生态治理技术评价”(2016YFC0503700);杨凌职业技术学院科学研究基金计划项目“基于遥感和GIS技术的黄土高原水土流失防治成效研究”(A2019026)


Multifractal General Features of Slope Factors in Loess Plateau
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    [目的] 有效科学量化地形因子,兼顾地物局部与整体的自相似性,总结黄土高原不同地貌区坡度地形因子的多重分形特点,为后续黄土高原地形因子相关研究提供参考。[方法] 选取黄土高原不同地区数字高程模型(DEM)数据,采用盒维数计算多重分形谱方法,检验各研究区坡度数据的多重分形特征,对坡度因子进行多重分形运算,计算坡度分形体的多重分形谱和多重分形特征参数。[结果] 最小坡度奇异指数变化范围在黄土塬区为(1.82~2.90),山地区为(1.92~2.43),变化幅度较大;黄土丘陵区和河谷平原区最小坡度奇异指数范围分别是(1.94~2.07)和(1.85~2.19),变化范围较小,地形较为均一。最大坡度奇异指数所对应的多重分形谱值最大值为1.63,在河谷平原区,最小值为1.57,在黄土塬区坡度最小地貌单元在河谷平原区所占比例最大,在黄土塬区所占比例最小。[结论] 不同研究区的多重分形谱差异可以真实反映出地形复杂程度。与传统量化方法统计的结果对比,多重分形特征参数能够客观反映黄土高原不同地形区域的多重分形特征。

    Abstract:

    [Objective] The topographic factors were effectively and scientifically quantified while accounting for the local and global self-similarity of ground objects, and the multifractal characteristics of slope topographic factors in different geomorphic areas of the Loess Plateau were summarized in order to provide a reference for subsequent research on topographic factors in the Loess Plateau. [Methods] The digital elevation modle (DEM) data from different areas of the Loess Plateau were selected, and the multifractal characteristics of slope data in each study area were tested by using the method of box dimension calculation multifractal spectrum. The multifractal spectrum and multifractal characteristic parameters of slope fractal body were calculated by multifractal calculation of slope factor. [Results] The variation range of the minimum slope singularity index was 1.82—2.90 in the Loess Plateau area and 1.92—2.43 in the mountain area, and the variation range was relatively large. The minimum slope singularity index ranges were 1.94—2.07 and 1.85—2.19 in the loess hilly region and valley plain region, respectively, with relatively small variation range and relatively uniform topography. The maximum value of the multifractal spectrum corresponding to the maximum slope singularity index was 1.63, and the minimum value was 1.57 in the valley plain area. These geomorphic unit with the smallest slope had the largest proportion in the valley plain area and the smallest proportion in the Loess Plateau area. [Conclusion] Differences in multifractal spectrums in different study areas can truly reflect terrain complexity. Compared with the statistical results of traditional quantitative methods, the multifractal feature parameters can objectively reflect the multifractal features of different terrain regions in the Loess Plateau.

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夏积德,丛佩娟,李俊锋.黄土高原坡度因子的多重分形谱特征[J].水土保持通报,2021,41(3):137-142,151

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  • 收稿日期:2020-11-22
  • 最后修改日期:2021-01-20
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  • 在线发布日期: 2021-07-08
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