三种插值方法在降水等值线绘制中的对比分析

为对比不同插值方法在宁夏回族自治区的适用性，基于宁夏及其周边地区77个气象台站1956—2016年平均降水量数据，运用泰森多边形法、距离平均反比法、克里金插值法对降雨量数据进行空间插值和交叉验证，从插值方法的稳健性和准确度出发进行对比分析，得出适用于宁夏回族自治区的插值方法。研究表明：（1）从准确度来看，克里金插值法与观测值走向、位置较为相似；从稳健性来看，克里金插值法MAE平均值为4.43 mm、RMSE平均值为10.36 mm，显著小于泰森多边形法和距离平均反比法。（2）整体来看，克里金插值法更为理想，可以用于宁夏回族自治区降水量空间插值分析。

Comparative analysis of three interpolation methods in precipitation contour drawing

Precipitation data is one of the important input data of hydrological model, and it is of great theoretical and practical significance to improve the interpolation accuracy of rainfall data. In order to compare the applicability of different interpolation methods in Ningxia Autonomous Region, based on the average precipitation data of 77 meteorological stations in Ningxia Autonomous Region in 1956-2016, the spatial interpolation and cross-validation of rainfall data by Tyson Polygon, Distance Average Inverse Ratio, Kriging Interpolation method, and the results of method robustness and accuracy are compared and analyzed to arrive at the interpolation method applicable to Ningxia Autonomous Region. The results show that: (1) from the accuracy point of view, the Kriging interpolation method is similar to the direction and position of the observation values and (2) from the point of view of robustness, the average MAE of the Kriging interpolation method is 4.43mm and the RMSE average is 10.36mm, which is significantly smaller than the Tyson polygon method and the distance average inverse ratio. On the whole, the Kriging interpolation method is more ideal and can be used for the spatial interpolation analysis of precipitation in Ningxia Autonomous Region.