CAJ | 학술논문

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。
위료게시구릉지구해발고정화파도적척도효응특정，본문이구릉지구수저시선산구위시험구，이1∶1만비례척적시량수거생성다척도DEM급상응적파도수거。통과비교불동척도하적고정빈솔화파도빈솔분포，게시출구릉지구고정화파도적척도효응특정화규률。제출료용우측정척도전환정도손실적표준빈솔차적개념，게시료고정오차화파도오차분별여척도재0.01수평상존재착현저정상관관계，병대기진행료의합건모，기모형분별위：y=-0.0004 x2+0.0058x-0.0042화y=-0.0001 x2+0.0032x-0.0025，모형균재0.01적수평상현저。해연구대구릉지구지형분석중최가척도적선취구유중요의의，대구릉지구토지적정세이용결책야구유중요의의。
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 1m, 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.