采用曲面矢量合成方法,通过比较点位上的坡度、坡向的矢量值与以点为中心、一定范围地形曲面上的矢量值,进行了DEM坡度、坡向的有效尺度范围研究。结果表明,格网中心点上计算得到的坡度、坡向所代表的范围是DEM分辨率的1.7~2.7倍。这种规律在不同的地貌样区是普遍存在的,且不受DEM分辨率的影响。
Terrain parameters, such as slope and aspect, are the most frequently surface geomorphic parameters in terrain analysis, hydrological modeling, environmental studies and other geosciences fields. Currently, these terrain parameters are often estimated by 3 × 3 local moving window at grid-based digital elevation model (DEM); and the estimated value is set to the centre cell in 3 × 3 window. In other words, the slope/aspect map derived from DEM is the same resolution as the DEM. There exists a question in this observation whether the resolution of slope/aspect map is the same as the DEM resolution or not? Based on the vector algebra and real DEM, it demonstrates that the slope/aspect estimated by 3× 3 window is larger than a grid cell of DEM, which is 1.7 to 2.7 times of DEM resolution.