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基于主成分分析和Copula函數(shù)的干旱影響評(píng)估研究
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Drought Impact Assessment Based on Principal Component Analysis and Copula Function
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    摘要:

    干旱是關(guān)中平原主要的農(nóng)業(yè)災(zāi)害之一,準(zhǔn)確地評(píng)估干旱的影響,對(duì)抗旱減災(zāi)及作物穩(wěn)產(chǎn)具有重要意義?;陉P(guān)中平原2008—2013年冬小麥主要生育期旬尺度的條件植被溫度指數(shù)(VTCI)干旱監(jiān)測結(jié)果,將Copula函數(shù)用于評(píng)估冬小麥主要生育時(shí)期干旱對(duì)其產(chǎn)量的影響。針對(duì)多元變量導(dǎo)致Copula函數(shù)參數(shù)求解困難的問題,采用主成分分析法(PCA)提取主要生育時(shí)期的VTCI的主成分因子,形成新的相互獨(dú)立的指標(biāo),進(jìn)而結(jié)合Copula函數(shù)建立PCA-Copula法,確定關(guān)中平原主要生育時(shí)期的綜合VTCI,并構(gòu)建其與冬小麥單產(chǎn)間的線性回歸模型,評(píng)估干旱對(duì)產(chǎn)量的影響。結(jié)果表明,應(yīng)用PCA-Copula法得到的綜合VTCI與單產(chǎn)間的相關(guān)性達(dá)到極顯著水平(P<0.001),所建回歸模型的擬合度與熵值法的結(jié)果相比有所提高,決定系數(shù)由039提高到049,且對(duì)應(yīng)模型的估測單產(chǎn)與實(shí)測單產(chǎn)間的均方根誤差較熵值法的結(jié)果降低了30.2kg/hm2,平均相對(duì)誤差降低了0.66%,表明PCA-Copula法能較好地應(yīng)用于評(píng)估冬小麥主要生育時(shí)期干旱對(duì)其產(chǎn)量的影響。

    Abstract:

    Drought is one of the most important agricultural disasters in the Guanzhong Plain, China. Assessing the influence of the droughts in the plain accurately can provide reference for drought mitigation and maintaining stable crop yields. Based on remotely sensed vegetation temperature condition index (VTCI) which was calculated at tenday intervals for monitoring droughts in the years of 2008—2013 in the plain, the Copula function method was used to assess the effect of drought at the main growth stages of winter wheat on the yields. The mutually independent principal factors were extracted from the VTCIs at the main growth stages of winter wheat by using principal component analysis (PCA), overcoming difficulty of parameter estimation for multivariate Copula, and then incorporated into the Copula function to establish a PCA-Copula method. The comprehensive values of VTCIs at the main growth stages were determined by the PCA-Copula method, and then linear regression model between the comprehensive VTCIs and wheat yields was established to assess the effect of drought on the yields. The results showed that the linear correlation coefficient between the wheat yields and comprehensive VTCIs was at the extremely significant level (P<0.001). Compared with the linear regression model based on the entropy value method, the determination coefficient of the model with the PCA-Copula method reached 0.49 from 0.39, which indicated that the fitting degree of the model was improved, and the root mean square error and average relative error between the estimated and measured yields reduced by 30.2kg/hm2 and 0.66%, respectively. These results indicated that the PCA-Copula method was a better approach for accessing the impact of droughts at the main growth stages of winter wheat on the yield.

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王鵬新,馮明悅,孫輝濤,李俐,張樹譽(yù),景毅剛.基于主成分分析和Copula函數(shù)的干旱影響評(píng)估研究[J].農(nóng)業(yè)機(jī)械學(xué)報(bào),2016,47(9):334-340. Wang Pengxin, Feng Mingyue, Sun Huitao, Li Li, Zhang Shuyu, Jing Yigang. Drought Impact Assessment Based on Principal Component Analysis and Copula Function[J]. Transactions of the Chinese Society for Agricultural Machinery,2016,47(9):334-340.

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  • 收稿日期:2016-02-29
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  • 在線發(fā)布日期: 2016-09-10
  • 出版日期: 2016-09-10