王漢東，黃瓅瑤，朱思蓉，羅 斌

(長江勘測規劃設計研究有限責任公司，湖北 武漢 430010)

　　摘 要：空間插值是常用的面雨量計算方法，以三峽區間為研究對象，選取反距離加權、普通克里金、協同克里金3種空間插值算法，進行面雨量空間插值計算和對比分析，其中協同克里金插值將地形作為影響因素。三峽區間面雨量插值結果表明，克里金插值在精度上要優于反距離加權插值，插值效果也更平滑;協同克里金的插值精度優于普通克里金，平均絕對誤差、誤差均方根相對于普通克里金插值分別降低了19%，10%。因此，在山區或地形復雜區域的面雨量計算，將地形作為協同區域化屬性的協同克里金插值更合適。

　　關鍵詞：面雨量;空間插值;對比分析;反距離加權插值;普通克里金插值;協同克里金插值

　　Intercomparison of area rainfall spatial interpolation in SanXia Region

　　WANG Handong, HUANG Liyao, ZHU Sirong, LUO Bin

　　(Changjiang Institute of Survey, Planning, Design and Research, Wuhan 430010, China)

　　Abstract: Spatial interpolation methods are often used to calculate the area rainfall. The following interpolation methods are used to calculate the area rainfall of SanXia region: inverse distance weighting (IDW), ordinary Kriging and co-Kriging, and their results are compared and analyzed. The terrain of the region is applied to improve the interpolation accuracy in the co-Kriging method. The results of area rainfall spatial interpolation in SanXia Region show that: Compare with IDW method, the two Kriging methods’ interpolation precision are better. The spatial distribution of interpolation results calculated by the two Kriging methods are smoother also. The accuracy of co-Kriging is better than the ordinary Kriging. The mean absolute error (MAE) of the co-Kriging is less than the ordinary Kriging by a rate of 19%. And the root mean squared interpolation error (RMSIE) of the co-Kriging is less than the ordinary Kriging by a rate of 10%. Because the co-Kriging method allows for the topographic effects on rainfalls. The co-Kriging interpolation method is more suitable for those regions which rainfalls are significantly affected by topography.

　　Key words: area rainfall; spatial interpolation; comparative analysis; inverse distance weighting interpolation; ordinary Kriging interpolation; co-Kriging interpolation