基于地形剖面线的陕北黄土高原地貌信息熵差分析

Information Entropy Difference Analysis Based on Terrain Profile Line of Loess Plateau in Northern Shaanxi Province

[目的]计算黄土高原地貌评价指标和剖面上高程数据信息熵,用以拟合地形起伏,评价地形,为地貌研究提供新理论依据。[方法]通过对研究区域进行剖面分析,获取地形剖面线,利用高程数据计算不同地貌类型中剖面线信息熵,绘制地形剖面线图和地形剖面线信息熵图,用来检验和评价地貌信息熵对地形的表达效果,统计两者离散程度指标,通过线性拟合找出两者相关性指标。[结果]将两图进行对比分析,发现两图走势具有一定的相似性,采用统计指标作为指示器,结果表明高程曲线与信息熵曲线具有较强的相关性,采用侵蚀模数验证,表明信息熵在表示地貌起伏或侵蚀方面具有可靠性。[结论]地貌信息熵可以用来模拟地形,且模拟效果良好,可以用于评价地貌类型。

[Objective]This paper studies the geomorphic types from the perspective of information entropy and adds new index for landscape evaluation in Loess Plateau.The terrain can be fitted and evaluated by calculating the information entropy on the elevation data,which can provide a new theoretical basis for studying geomorphology.[Methods]Through analyzing terrain profile of the study area,we extracted the terrain profile line,then used elevation data to calculate the section line information entropy and elevation for different physiognomy types.We rendered terrain profile section line map and terrain information entropy diagram,and used them to test and evaluate the effect of geomorphic information entropy in expressing terrain information,and to calculate the index of dispersion degree,and to find the correlation between them through linear fitting.[Results]With a comparison of two charts,the two figures showed similar trends.The statistical indicators that there was a strong correlation between the elevation curve and the information entropy curve.The validation by erosion modulus showed that the information entropy was reliable in representing the topographic changes or erosion.[Conclusion]Terrain information entropy can be used to simulate the terrain,and the simulation results are farorable,it can be used to evaluate the landscape types.