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土壤Hg和NDVI全局均值估計(jì)的樣本點(diǎn)權(quán)重調(diào)整方法
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國家重點(diǎn)研發(fā)計(jì)劃項(xiàng)目(2021YFD1500203)、北京市自然科學(xué)基金項(xiàng)目(8192015)和國家自然科學(xué)基金項(xiàng)目(41801276)


Weight Adjustment Method of Sampling Sites for Global Mean Estimation of Hg and NDVI
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    摘要:

    樣本點(diǎn)權(quán)重調(diào)整是統(tǒng)計(jì)推斷樣本點(diǎn)屬性全局均值的重要手段,。以北京市順義區(qū)農(nóng)業(yè)用地樣本點(diǎn)為例,,提出了一種面向全局均值估計(jì)的樣本點(diǎn)權(quán)重調(diào)整方法——泰森多邊形權(quán)重調(diào)整法。首先構(gòu)建樣本點(diǎn)類型劃分規(guī)則,,將樣本點(diǎn)劃分為聚集樣本點(diǎn),、稀疏樣本點(diǎn)和均勻樣本點(diǎn);其次針對不同類型樣本點(diǎn),,分別確定樣本點(diǎn)權(quán)重調(diào)整量和調(diào)整規(guī)則并進(jìn)行樣本點(diǎn)權(quán)重調(diào)整,;最后以農(nóng)業(yè)用地土壤重金屬Hg含量及NDVI(歸一化植被指數(shù))數(shù)據(jù)為例,設(shè)置與原始樣本點(diǎn)(無權(quán)重調(diào)整),、常規(guī)面積比例權(quán)重調(diào)整法的對比實(shí)驗(yàn),,通過2種評價(jià)參數(shù)的全局均值相對誤差分別評價(jià)不同樣本點(diǎn)權(quán)重調(diào)整方法的數(shù)據(jù)糾偏效果,。結(jié)果表明:2個(gè)聚集樣本點(diǎn)權(quán)重減小,權(quán)重分別為0.609和0.883,;1個(gè)稀疏樣本點(diǎn)權(quán)重增大,,權(quán)重為1.068;63個(gè)均勻樣本點(diǎn)權(quán)重不變,,權(quán)重為1,;泰森多邊形權(quán)重調(diào)整法統(tǒng)計(jì)推斷農(nóng)業(yè)用地土壤重金屬Hg含量和NDVI的全局均值估計(jì)相對誤差(0.413%、1.617%)小于原始樣本點(diǎn)(1.056%,、2.500%)和常規(guī)面積比例權(quán)重調(diào)整法(2.933%,、2.941%),表明該權(quán)重調(diào)整方法的樣本點(diǎn)全局均值估計(jì)更加準(zhǔn)確,、可靠,。

    Abstract:

    Weight adjustment of the sampling sites is an important means of the statistical inference for the global mean of sampling sites attributes. Taking the sampling sites of agricultural land in Shunyi District, Beijing as an example, weight adjustment method (Thiessen polygon weight adjustment method) of sampling sites for global mean estimation was proposed. Firstly, the type division rules of sampling sites were constructed to divide the sampling sites into aggregated, sparse and even sampling sites. Secondly, weight adjustment amounts and adjustment rules for different types of sampling sites were determined, and the weights of the sampling sites were adjusted, respectively. Finally, taking soil heavy metal Hg content and NDVI data of agricultural land as an example, a comparative experiment between Thiessen polygon weight adjustment method and the original sampling sites (without weight adjustment) and the conventional area ratio weight adjustment method was set up to quantitatively evaluate the global mean estimation effect of different weight adjustment methods based on the relative errors of two evaluation parameters. The results suggested that the weights of the two aggregated sampling sites were reduced, and the weights were 0.609 and 0.883, respectively. The weight of one sparse sampling site was increased, and the weights was 1.068. The weights of sixty-three even sampling sites remained unchanged, and the weights of each sampling sites was 1. The relative errors (0.413%, 1.617%) of the global mean estimated by the Thiessen polygon weight adjustment method statistical inference were smaller than those of estimated by the original sampling sites (1.056%, 2.500%) and the conventional area proportional weight adjustment method (2.933%, 2.941%), respectively. It was shown that the global mean estimation of the sampling sites for the Thiessen polygon weight adjustment method was much more accurate and reliable.

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張東悅,朱慶偉,董士偉,潘瑜春,吳亞楠,譚夢巖.土壤Hg和NDVI全局均值估計(jì)的樣本點(diǎn)權(quán)重調(diào)整方法[J].農(nóng)業(yè)機(jī)械學(xué)報(bào),2022,53(3):338-345. ZHANG Dongyue, ZHU Qingwei, DONG Shiwei, PAN Yuchun, WU Ya’nan, TAN Mengyan. Weight Adjustment Method of Sampling Sites for Global Mean Estimation of Hg and NDVI[J]. Transactions of the Chinese Society for Agricultural Machinery,2022,53(3):338-345.

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  • 收稿日期:2021-12-03
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  • 在線發(fā)布日期: 2022-03-10
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