地形空间频率层次性及其空间分异性研究——以黄土高原丘陵沟壑区为例

Research on the Spatial Hierachical Frequency and Variability of Topography A Case Study of The Gully Area of The Loess Plateau

以黄土高原丘陵沟壑区I-V副区为例,应用地统计学相关理论函数,探讨分析地形空间频率层次性特征在不同地貌类型区的差异性。结果表明:将地统计相关理论与数字地形分析方法有机结合,运用地统计学在空间结构分析方面的优势可以更好地解决数字地形分析中的具体问题;对比分析丘I至丘V典型样区各空间频率组分的变异函数拟合模型以及专题层表面,可得到地形空间频率层次性特征在各样区的差异性;在地形信息较为复杂的地区,SRTM1数据对空间频率层次的模拟精度高于SRTM3和ASTER GDEM数据。

This thesis takes the No.I-No.V hilly-gully areas of the Loess Plateau as examples to analyze the hierarchical differentiations of spatial frequency reflected in various topographies based on related theoretical functions.It was shown that a combination of related Geostatistical theories and Digital Terrain Analysis methods will better address the specific problems in the digital analysis of topography.The differentiations of the spatial hierarchical frequency of topography have been concluded from a comparative analysis of semi-variogram models of the spatial frequency derived from No.I-No.V areas and their respective surfaces.In areas with more complicated topography,SRTM1 data was proved to be more accurate than that of SRTM3 and ASTER GDEM in the simulation of spatial hierachical frequency.