三种插值方法在降水等值线绘制中的对比分析  

Comparative Analysis of Three Interpolation Methods in Precipitation Contour Drawing

作　　者：王生鑫 闫文晶 张海涛[2] 杜军凯[2] 赵宇翔 WANG Shengxin;YAN Wenjing;ZHANG Haitao;DU Junkai;ZHAO Yuxiang(Ningxia Hydrology and Water Resources Monitoring and Early Warning Center,Ningxia 750000,China;China Institute of Water Resources and Hydropower Research,Beijing 100038,China;North China University of Water Resources and Electric Power,Zhengzhou 450046,China)

机构地区：[1]宁夏水文水资源监测预警中心,宁夏银川750000 [2]中国水利水电科学研究院,北京100038 [3]华北水利水电大学,河南郑州450046

出　　处：《水文》2023年第4期21-26,共6页Journal of China Hydrology

基　　金：“十四五”重点研发计划课题(2021YFC3201101,2021YFC3201105)。

摘　　要：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。Tyson polygon method,inverse distance average method and Kriging interpolation method were used for spatial interpolation and cross validation of the average rainfall data of 77 meteorological stations in Ningxia Autonomous Region from 1956 to 2016.And the interpolation method applicable to Ningxia Autonomous Region was obtained through the comparative analysis of the robustness and accuracy results of the methods.The results show that,from the accuracy point of view,the Kriging interpolation method is similar to the direction and position of the observation values,and from the point of view of robustness,the average MAE of the Kriging interpolation method is 4.43 mm and the RMSE average is 10.36 mm,which is significantly smaller than the Tyson polygon method and the distance average inverse ratio.Overall,the Kriging interpolation method is more ideal and could be used for the spatial interpolation analysis of precipitation in Ningxia Autonomous Region.

关 键 词：等值线 泰森多边形法 距离平均反比法 克里金插值法 

分 类 号：TV125[水利工程—水文学及水资源] P33[天文地球—水文科学]