丘陵地区DEM与坡度的尺度效应分析  

Analysis of Scale Effect Characteristics of DEM and Slope in Hilly Areas

作　　者：杨存建[1] 赵曦琳[1] 周其林[2] 倪静[1] 王琴[1] 

机构地区：[1]四川师范大学西南土地资源评价与监测教育部重点实验室遥感与GIS应用研究中心,成都610068 [2]四川省遂宁市林业局,遂宁629000

出　　处：《地球信息科学学报》2013年第6期814-818,共5页Journal of Geo-information Science

基　　金：国家"973"计划项目(2007CB714401);国家自然科学基金项目(40771144);四川省教育厅项目

摘　　要：为了揭示丘陵地区海拔高程和坡度的尺度效应特征,本文以丘陵地区遂宁市船山区为试验区,以1∶1万比例尺的矢量数据生成多尺度DEM及相应的坡度数据。通过比较不同尺度下的高程频率和坡度频率分布,揭示出丘陵地区高程和坡度的尺度效应特征和规律。提出了用于测定尺度转换精度损失的标准频率差的概念,揭示了高程误差和坡度误差分别与尺度在0.01水平上存在着显著正相关关系,并对其进行了拟合建模,其模型分别为:y=-0.0004 x2+0.0058x-0.0042和y=-0.0001 x2+0.0032x-0.0025,模型均在0.01的水平上显著。该研究对丘陵地区地形分析中最佳尺度的选取具有重要意义,对丘陵地区土地的精细利用决策也具有重要意义。In order to reveal the scale effect characteristics of DEM and slope grid with different size in hilly ar- eas, the paper uses the typical hilly areas in Chuanshan County in Suining City as the pilot-area. Multi-scale DEM and slope with the resolution of lm, 2.5m, 5m, 10m, 15m, 20m, 25m and 30m are generated by using con- tours, elevations, rivers and other data from 1：10000 scale maps. The qualitative scale effect of elevation and slope is revealed by comparing the frequency distribution of multi-scale elevation and slope. The concept of stan- dard frequency error for testing the loss or error of accuracy created by scaling is proposed here. The correlation between altitude error（y） and scale（x） is positively significant at 0.01 confidence level, and its coefficient is 0.863. The model： y=-0.0004x2＋0.0058x-0.0042 can be used to significantly describe the quantitative scale ef- fect of altitude at 0.01 confidence level. The correlation between slope error（y） and scale（x） is positively signifi- cant at 0.01 confidence level, and its coefficient is 0.855. The model： y=-0.0001x2＋0.0032x-0.0025 can be used to significantly describe the quantitative scale effect of slope at 0.01 confidence level. The research has impor- tant implication for selecting the optimal scale in specified terrain analysis of hilly areas.

关 键 词：丘陵地区 DEM 坡度 标准频率差 尺度效应 

分 类 号：P941.76[天文地球—自然地理学]