选取陕北黄土高原48个不同地貌类型区,以其对应的1∶10000及1∶50000数字高程模型(DEM)为数据源,运用比较分析与数理统计的方法,分析了坡谱信息熵在陕北黄土高原的空间分异特征及尺度效应。结果显示,坡谱的信息熵在一定程度上可以反映地表的复杂度,坡谱信息熵和沟壑密度间有较好的幂函数关系,随着坡谱信息熵的增大,样区沟壑密度也增大。坡谱信息熵的空间分异和陕北黄土高原的黄土地貌形态在空间上的变异是相关的,可将其作为地貌类型划分的判别因子之一。
48 different landform areas of the Loess Plateau in northern Shaanxi province were selected as test areas with the objective of investigating spatial distribution and scale effect of the slope spectrum’s information entropy (SSIE) based on DEMs. Experimental results show that the SSIE can reflect the terrain complexity to a certain extent. There exits a good power function relation between SSIE and gully density: gully density increases with the increase of SSIE. Spatial distribution of SSIE and loess landform are correlative and the SSIE can be taken as a discriminate factor to identify loess landform.