基于尺度效应曲线及信息熵的延河流域适宜DEM分辨率判定  

DEM Resolution Selection in the Yanhe River Basin Based on Topographic Scale Effect Curve and Information Entropy Theory

作　　者：李泽森 广彗冰 张新宇 颜秉龙 焦峰[1,3] Li Zesen;Guang Huibing;Zhang Xinyu;Yan Binglong;Jiao Feng(College of Soil and Water Conservation Science and Engineering,Northwest A&F University,Yangling,Shaanxi 712100,China;Lianyungang Water Resources Planning and Design Institute,Co.,Ltd.,Lianyungang,Jiangsu 222006,China;Institute of Soil and Water Conservation,MWR&CAS,Yangling,Shaanxi 712100,China)

机构地区：[1]西北农林科技大学水土保持科学与工程学院,陕西杨凌712100 [2]连云港市水利规划设计院有限公司,江苏连云港222006 [3]中国科学院水利部水土保持研究所,陕西杨凌712100

出　　处：《水土保持研究》2024年第4期42-49,58,共9页Research of Soil and Water Conservation

基　　金：国家自然科学基金“黄土丘陵区土壤斥水性及其对降水入渗机制的影响研究”(41977426)。

摘　　要：[目的]确定黄土高原小流域地貌水文研究需要下的适宜DEM分辨率,探究尺度效应曲线和信息熵方法适用度,并为判定适宜分辨率提供新视角和新途径。[方法]以黄土丘陵沟壑区的延河流域为研究区,利用ArcGIS对原分辨率DEM进行重采样,获取多组不同分辨率DEM,并提取相应尺度下地形属性值,绘制两种不同的尺度效应曲线(“平均坡度-分辨率”和“局部方差均值-分辨率”曲线),并引入信息熵和互信息熵,结合实际地形,对适宜DEM分辨率进行了判别。[结果](1)在地形复杂的延河流域,基于不同判定方法所获结果有所不同,而局部方差均值、信息熵及互信息熵所获适宜分辨率结果相近。(2)采用不同地形属性判别适宜分辨率结果有所不同,剖面曲率和平面曲率所获适宜分辨率较为相近(局部方差均值结果为15~20 m,信息熵和互信息熵结果均为15 m),坡度较曲率所获适宜分辨率差异更大(局部方差均值结果为20~35 m,信息熵和互信息熵结果均为20 m)。[结论]局部方差均值和信息熵均适用于该地区的DEM分辨率判定,延河流域适宜DEM分辨率为15~20 m。[Objective]The aims of this study are to determine the appropriate DEM resolution for geomorphic hydrology research in a small watershed of the Loess Plateau,explore the applicability of scale effect curve and information entropy method,and provide a new perspective and approach for determining the appropriate resolution.[Methods]Taking Yanhe River Basin in the loess hilly region as the research area,ArcGIS was used to resample the original resolution DEM,obtain multiple groups of DEM with different resolutions,extract the terrain attribute values at corresponding scales,and draw two different scale effect curves(‘average slope-resolution’and‘local variance mean-resolution’curves).Information entropy and mutual information entropy are introduced to distinguish suitable DEM resolution based on actual terrain.[Results](1)In the Yanhe River Basin with complex terrain,the results obtained by different determination methods are different,while the results of local variance mean,information entropy and mutual information entropy are similar.(2)The results of determining the appropriate resolution by different terrain attributes are different.The appropriate resolution obtained by profile curvature and plane curvature is similar(the local mean variance is 15~20 m,and the information entropy and mutual information entropy are both 15 m),and the difference of the appropriate resolution obtained by slope is greater than that obtained by curvature(the local mean variance is 20~35 m).The results of information entropy and mutual information entropy are both 20 m.[Conclusion]Both local variance mean and information entropy method are suitable for DEM resolution determination in this area,and the appropriate DEM resolution in Yanhe River Basin is 15~20 m.

关 键 词：DEM 分辨率 流域地形参数 信息熵 互信息熵 延河流域 

分 类 号：P208[天文地球—地图制图学与地理信息工程]