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冰川面积随高程分布规律是冰川系统结构研究中的重要内容.根据中国第一次冰川编目数据集,将全国冰川划分为27个研究区域,基于SRTM-DEM数据,分别提取了各研究区分段高程所占面积,分析了冰川面积随高程的变化.结果表明:各研究区冰川面积都随高程呈偏态分布.依据统计理论,建立了冰川面积随高程分布的二阶高斯分布偏态回归模型,回归模型决定系数均大于0.97,相对误差较小.根据偏态回归模型,计算出了冰川系统高度特征值,并分析了冰川面积分布的区域性差异.该模型一方面可以表达冰川面积在中间高程的集中程度;另一方面可以描述冰川面积在两侧分布的差异性,并可以用来分析未来冰川的变化.偏态分布模型能很好地描述中国冰川面积随高程分布规律,为冰川系统结构的研究和冰川区域分布差异提供参考.
According to the first glacier cataloging dataset in China, the glaciers are divided into 27 research areas in China. Based on SRTM-DEM data, the elevation of each section is extracted separately The area of the glacier was analyzed.The results showed that the glacier area in each study area was skewed with the elevation.According to the statistical theory, the second-order Gaussian distribution skewness regression model was established for the glacier area with elevation distribution, The regression coefficients are all greater than 0.97 and the relative errors are small.According to the skewness regression model, the height eigenvalues of glacier system are calculated and the regional differences of glacier area distribution are analyzed.The model can express the glacier area in the middle elevation On the other hand, it can describe the difference of glacier area on both sides and can be used to analyze the changes of future glaciers.The skew distribution model can well describe the distribution of glacier area with elevation in China, And provide some references for the differences in the distribution of glaciers.