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基于回歸克里格法的土壤鹽分采樣點布局優(yōu)化
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國家重點研發(fā)計劃項目(2017YFC0403301)


Layout Optimization of Soil Salt Sampling Points Based on Regression Kriging
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    摘要:

    為提高土壤鹽分分布圖繪制精度或降低野外采樣和室內(nèi)分析成本,優(yōu)化土壤采樣點布局,本文以回歸克里格法估計方差(RKV)最小和普通克里格估計方差(OKV)最小為目標(biāo)函數(shù),運用空間模擬退火(SSA)算法對土壤鹽分采樣點布局進行優(yōu)化,其中回歸克里格法(RK)中的協(xié)變量選擇與土壤鹽分分布關(guān)系密切且容易獲取的環(huán)境變量;通過最鄰近距離分布函數(shù)(G函數(shù))、間隔距離分布函數(shù)(F函數(shù))和K-S檢驗對優(yōu)化結(jié)果進行評價。結(jié)果表明:荒地分布在大尺度上(400m×400m)與鹽分相關(guān)性強,而在小尺度上(50m×50m)與鹽分相關(guān)性弱;以荒地分布(與荒地最短距離)作為協(xié)變量,利用RK法優(yōu)化采樣點布局(采樣數(shù)為55)后得到的研究區(qū)平均RKV為0.0807,相較平均OKV(0.1143)縮小了29.39%;優(yōu)化后采樣點布局的G函數(shù)曲線和F函數(shù)曲線全部落在95%置信區(qū)間內(nèi),即F函數(shù)和G函數(shù)均與其理論值無顯著差異,采樣點布局良好覆蓋了地理空間;K-S檢驗表明,優(yōu)化后采樣點上與荒地最短距離的分布與其總體分布服從同一概率分布,即采樣點布局良好覆蓋了屬性空間。本研究可為河套灌區(qū)土壤鹽漬化監(jiān)測點布局提供參考。

    Abstract:

    In order to improve the drawing accuracy of soil salt distribution map or reduce the cost of field sampling and indoor analysis,it is very necessary to optimize the layout of soil sampling points. Taking the minimum regression Kriging estimated variance (RKV) and the minimum ordinary Kriging estimated variance (OKV) as the objective function,the layout of soil salt sampling points was optimized by spatial simulated annealing algorithm (SSA),the selection of covariates in regression Kriging (RK) method was closely related to soil salt distribution and easy to obtain environmental variables. The optimization results were evaluated by the nearest distance distribution function (G function),interval distance distribution function (F function) and K-S test. The results showed that wasteland distribution on a large scale (400m×400m) was significantly correlated with salt,but weak correlated on a small scale (50m×50m).Taking the distribution of wasteland (the shortest distance from wasteland) as the collaborative variable and optimizing the sampling layout by RK method (sampling number was 55),the mean RKV of the study area was 0.0807,which was 29.39% smaller than the mean OKV(0.1143). The G function curve and F function curve of the optimized sampling set all fall within the 95% confidence interval,there was no significant difference between the F function and G function and their theoretical values, the layout of the sampling points was well arranged and covered the geographical space. K-S test showed that the distribution of the shortest distance from wasteland on the optimized sampling point and its population obeyed the same probability distribution,the layout of the sampling points was well arranged and covered the attributes space. The research results can provide reference for the layout of soil salinization monitoring points in Hetao Irrigation Area.

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徐英,謝若禹,沈麗佳,馮紹元.基于回歸克里格法的土壤鹽分采樣點布局優(yōu)化[J].農(nóng)業(yè)機械學(xué)報,2022,53(8):275-282. XU Ying, XIE Ruoyu, SHEN Lijia, FENG Shaoyuan. Layout Optimization of Soil Salt Sampling Points Based on Regression Kriging[J]. Transactions of the Chinese Society for Agricultural Machinery,2022,53(8):275-282.

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  • 收稿日期:2021-09-12
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  • 在線發(fā)布日期: 2021-10-17
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