基于地形音乐的地形定量分析与空间分异研究——以陕北黄土高原为例

Quantitative Analysis and Spatial Differentiation of Terrain based on Terrain Music: Example of Loess Plateau in Northern Shaanxi

地形音乐,是以地形特征线为研究对象,用可听化形式描述地形起伏形态。本文以地形音乐为切入点,实现对流域地形特征线形态的建模及量化表达,从而探讨了黄土高原地形空间分异特征及规律。基于30 m分辨率的DEM数据,本文选取了均匀分布在陕北黄土高原的53个典型流域为测试样区,综合乐理知识、数字地形分析以及地统计学理论,以流域边界剖面线为切入点,实现对地表形态的数字化表达;运用克里金插值法构建地形音乐指标的空间分异图,从而进一步分析地形的空间分布格局和特征。在此基础上,进一步探讨了陕北黄土高原的地形音乐指标的空间分布以及与传统指标进行对比分析。研究结果表明地形音乐指标能够从多角度定量描述和揭示地形的空间分布特征:(1)跳进指标与地形起伏度相关系数为-0.486,从地势起伏程度定量描述和揭示地形的空间分布特征;(2)级进指标与坡度相关系数为-0.328,从地形倾斜程度定量描述和揭示地形的空间分布特征;(3)模进指标与剖面曲率相关系数为-0.309,从地形变化程度定量描述和揭示地形的空间分布特征。本文拓展了数字地形分析的研究范围,促进了乐理理论与地貌学研究的结合,揭示出地形音乐相关研究方法的方法在地貌学领域的应用范畴区别于传统方法,以新视角审视黄土高原的地形空间分异特征和内在机理,从可听化角度加深了对黄土高原地形空间分异发育过程和内在机理的认识。

Terrain music,the study of terrain feature lines,describes terrain undulation patterns in audible form.This paper takes terrain music as the starting point to simulate and quantify the morphology of terrain characteristic lines,and further discusses the spatial differentiation characteristics and laws of the terrain on the Loess Plateau.Based on the DEM data with a resolution of 30 m,53 typical watersheds evenly distributed on the Loess Plateau in northern Shaanxi were selected as test sample areas,and the music theory knowledge,digital terrain analysis,and geostatistical theory were integrated.The watershed boundary profile was taken as the entry point to realize the digital expression of the land surface morphology.The Kriging method was used to construct a spatially differentiated map of terrain music index,so that the spatial distribution patterns and characteristics of the terrain could be further analyzed.On this basis,the spatial distribution of terrain music index on the Loess Plateau in northern Shaanxi and the comparative analysis with traditional indicators were further discussed.Results show that the terrain music index can quantitatively describe and reveal the spatial distribution characteristics of the terrain from multiple angles:①The correlation coefficient between jump-in index and terrain undulation is-0.486,which quantitatively describes and reveals the spatial distribution characteristics of terrain from the degree of terrain undulation;②The correlation coefficient between the grade progression index and slope is-0.328,which quantitatively describes and reveals the spatial distribution characteristics of terrain from the degree of slope of the terrain;③The correlation coefficient between the modal progression index and the profile curvature is-0.309,which quantitatively describes and reveals the spatial distribution characteristics of the terrain from the degree of terrain curvature.This study expands the research scope of digital terrain analysis and promotes the integration of music theory and geomorphology research,which further reveals that the application scope of terrain music related research methods in the field of geomorphology is different from that of traditional methods.This study examines the characteristics and internal mechanisms of spatial differentiation of terrain from the perspective of audibility,which deepens the understanding of development processes and internal mechanisms of terrain on the Loess Plateau.