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基于球坐標(biāo)轉(zhuǎn)換的土壤機(jī)械組成空間插值研究
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國(guó)家自然科學(xué)基金項(xiàng)目(41571217)和國(guó)家重點(diǎn)研發(fā)計(jì)劃項(xiàng)目(2016YFD0300801)


Spatial Interpolation of Soil Mechanical Composition Based on Spherical Coordinate Transform Method
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    摘要:

    土壤機(jī)械組成作為一種成分?jǐn)?shù)據(jù),為滿足其空間插值的定額、非負(fù)、線性無(wú)偏和最優(yōu)要求,通常需要對(duì)其進(jìn)行轉(zhuǎn)換。本文以寧夏銀北地區(qū)土壤機(jī)械組成數(shù)據(jù)為例,引進(jìn)了球坐標(biāo)轉(zhuǎn)換方法,利用經(jīng)球坐標(biāo)轉(zhuǎn)換、對(duì)稱對(duì)數(shù)比轉(zhuǎn)換和非對(duì)稱對(duì)數(shù)比轉(zhuǎn)換后的數(shù)據(jù)進(jìn)行普通克里格插值,分析了球坐標(biāo)轉(zhuǎn)換方法對(duì)土壤機(jī)械組成數(shù)據(jù)轉(zhuǎn)換的可行性與科學(xué)性,并比較了不同轉(zhuǎn)換方法對(duì)土壤機(jī)械組成空間預(yù)測(cè)效果的影響。結(jié)果表明:球坐標(biāo)轉(zhuǎn)換方法能滿足土壤機(jī)械組成空間插值要求,對(duì)于研究區(qū)砂粒、粉粒的空間插值精度較對(duì)稱對(duì)數(shù)比轉(zhuǎn)換和非對(duì)稱對(duì)數(shù)比轉(zhuǎn)換方法高,而對(duì)于黏粒,其插值精度卻遜于對(duì)稱對(duì)數(shù)比轉(zhuǎn)換和非對(duì)稱對(duì)數(shù)比轉(zhuǎn)換方法。本研究為土壤機(jī)械組成空間插值提供了一種易于理解、計(jì)算量小、不需要考慮零值、又能保證一定插值精度的轉(zhuǎn)換方法。

    Abstract:

    As a kind of compositional data, the spatial interpolation of soil mechanical composition needs to meet four constraints of constant sum, nonnegativity, linear unbiased estimation and error minimization. Therefore, it usually needs to be transformed before spatial interpolation. A novel transformation method-spherical coordinate transform method was proposed and the study area was located in Yinbei Irrigation District, Ningxia Hui Autonomous Region. Firstly, the sampled soil mechanical composition data was transformed through three methods, including symmetry logratio transform method, asymmetry logratio transform method and the proposed spherical coordinate transform method, respectively. Then the soil mechanical composition spatial interpolation was realized with the application of ordinary Kriging. Secondly, the soil mechanical composition interpolation maps of different transform methods were compared to analyze the scientificity and feasibility of the proposed transform approach. The precision and fitting effect were assessed by utilizing the mean absolute error (MAE), root mean square error (RMSE), index of agreement (d) and Pearson’s correlation (R). The results indicated that spherical coordinate transform technology not only can satisfy the four constraint conditions but also had superior interpolation accuracy for sand and silt content than the other two logratio transform methods. However, the logratio transform methods had more accurate interpolation results than spherical coordinate transform method for clay content prediction. To summarize, a novel transform technology with the advantages of easy understanding, small calculation amount, and good interpolation precision and without consideration of zero values for spatial interpolation of soil mechanical composition was presented.

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李貞,張世文,曹夢(mèng),黃亞捷,魏星,黃元仿.基于球坐標(biāo)轉(zhuǎn)換的土壤機(jī)械組成空間插值研究[J].農(nóng)業(yè)機(jī)械學(xué)報(bào),2018,49(3):295-302. LI Zhen, ZHANG Shiwen, CAO Meng, HUANG Yajie, WEI Xing, HUANG Yuanfang. Spatial Interpolation of Soil Mechanical Composition Based on Spherical Coordinate Transform Method[J]. Transactions of the Chinese Society for Agricultural Machinery,2018,49(3):295-302.

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  • 收稿日期:2017-07-16
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  • 在線發(fā)布日期: 2018-03-10
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