Ordinary Kriging approach for spatial interpolation based on bi-level programming

被引：0
|
作者：
Huang B. [1 ]
He F. [1 ]
Jiang H. [1 ]
机构：
[1] Research Center of Dongting Lake, Hunan Hydro/Power Design Institute, Changsha
来源：
Xitong Gongcheng Lilum yu Shijian | 2020年 / 5卷 / 1317-1325期
关键词：
Bilevel programming; Cross-validation; Ordinary Kriging; Spatial interpolation; Variogram;
D O I：
10.12011/1000-6788-2018-2361-09
中图分类号：
学科分类号：
摘要：
The bilevel programming is applied to obtain the optimal spatial interpolation results by optimizing the variogram parameters of ordinary Kriging method. A bilevel programming model regarding the most optimal cross-validation statistics and optimal unbiased linear estimation of every measured data as the targets is established for reducing the impact of human uncertainties. On this basis, the optimal variogram parameters and spatial interpolation statistics can be obtained consequently. Finally, the pH values of soil data is employed as a case to verify the efficacy and reasonability of the model by comparing with the weighted least squares method. © 2020, Editorial Board of Journal of Systems Engineering Society of China. All right reserved.
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页码：1317 / 1325
页数：8
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