地球信息科学学报 ›› 2013, Vol. 15 ›› Issue (6): 814-818.doi: 10.3724/SP.J.1047.2013.00814

• 地球信息科学理论与方法 • 上一篇    下一篇

丘陵地区DEM与坡度的尺度效应分析

杨存建1, 赵曦琳1, 周其林2, 倪静1, 王琴1   

  1. 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
  • 收稿日期:2013-11-18 修回日期:2013-12-01 出版日期:2013-12-25 发布日期:2013-12-26
  • 作者简介:杨存建(1967-),男,成都市人,教授,主要从事遥感和地理信息系统应用研究。E-mail:yangcj2008@126.com
  • 基金资助:

    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。

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

YANG Cunjian1, ZHAO Xilin1, ZHOU Qilin2, NI Jing1, WANG Qin1   

  1. 1. Research Center of Remote Sensing and GIS Applications, Key Laboratory of Land Resources Evaluation and Monitoring in Southwest of China, Ministry of Education, Sichuan Normal University, Chengdu 610068, China;
    2. Suining Forestry Bureau, Suining 629000, China
  • Received:2013-11-18 Revised:2013-12-01 Online:2013-12-25 Published:2013-12-26

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。

关键词: 丘陵地区, 标准频率差, 尺度效应, DEM, 坡度

Abstract:

In order to reveal the scale effect characteristics of DEM and slope grid with different size in hilly areas, 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 contours, 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 standard 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 effect of altitude at 0.01 confidence level. The correlation between slope error(y) and scale(x) is positively significant 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 important implication for selecting the optimal scale in specified terrain analysis of hilly areas.

Key words: standard frequency error, scale effect, hilly areas, DEM, slope