中文摘要：

降雨分布研究是一类经典的空间插值问题,但是在山丘区暴雨分布研究中,由于地形复杂性的影响,传统空间插值方法难以有效地获取暴雨的空间分布。以浏阳河流域为例,结合GIS技术,在传统空间插值方法的基础上,考虑高程因素的影响改进原有的插值方法,并采用统一的交叉验证方法和精度验证模型,对插值结果进行验证比较。结果表明考虑高程因素的插值结果优于传统的插值方法,其中考虑高程因素的反距离权重法插值效果最好,验证了考虑地形因素的空间插值方法在进行暴雨分析方面的有效性。

英文摘要：

Rainfall distribution research is a classic spatial interpolation problem. However, in the research on rainstorms distribution in mountain area, the traditional spatial interpolation methods are difficult to obtain the distribution of rainstorms effectively due to the factors of terrain complexity. The watershed of Liuyang River is chosen as the research area, combined with the geographic information system （ GIS ） technology, terrain factor （DEM） is considered to improve the spatial interpolation methods on the basis of the traditional ones. The unified cross validation method and accuracy validation models are applied to verify and evaluate the results of different interpolation methods. The re- suits show that spatial interpolation methods considering DEM are better than the traditional ones. Among these methods inverse distance weighted considering DEM achieves the highest accuracy and effectiveness in rainstorm analysis.