基于赤池信息量准则的冬小麦叶面积指数估算
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北京市自然科学基金资助项目(4141001)、北京市农林科学院科技创新能力建设资助项目(KJCX20140417)和地理空间信息工程国家测绘地理信息局重点实验室经费资助项目


Estimation of Leaf Area Index of Winter Wheat Based on Akaike’s Information Criterion
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    摘要:

    冬小麦叶面积指数(LAI)是重要的农学参数之一,对冬小麦长势分析、产量预测具有重要意义。使用2008/2009年在中国北京市通州区和顺义区获取的整个生育期冬小麦叶面积指数和对应的光谱数据,将相关系数(|r|)-赤池信息量准则(AIC)、灰色关联分析(GRA)-AIC、变量投影重要性(VIP)-AIC、VIP-预测残差平方和(PRESS)系数分别与偏最小二乘法(PLS)进行整合,提出利用AIC择优构建冬小麦LAI估算模型,并与传统PRESS方法构建的冬小麦LAI模型进行比较。结果表明:|r|-PLS-AIC、GRA-PLS-AIC、VIP-PLS-AIC、VIP-PLS-PRESS建模的R2分别为0.72、0.67、0.73和0.70,VIP PLS-AIC比|r|-PLS-AIC、GRA-PLS-AIC和VIP-PLS-PRESS有更好的冬小麦LAI预测能力。考虑到冬小麦LAI的时域特性,将2009/2010年相关数据引入模型中,评价模型对不同年际的冬小麦估测能力。研究表明VIP-PLS-AIC(RMSE为0.81)较|r|-PLS-AIC(RMSE为0.87)、GRA-PLS-AIC(RMSE为0.96)和VIP-PLS-PRESS(RMSE为0.83)有更高的精度。将AIC作为冬小麦LAI最优估测模型筛选条件不仅能获得同年LAI的最优估算模型,而且适用于不同年际的冬小麦LAI探测研究。

    Abstract:

    Leaf area index (LAI) is an important parameter for evaluating the growth status and yield prediction of winter wheat. Spectral reflectance of leaves and concurrent LAI parameters of samples in Tongzhou and Shunyi Districts, Beijing City, China, were acquired during 2008/2009 winter wheat growth season. The correlation coefficient (|r|) Akaike’s information criterion (AIC), grey relational analysis (GRA)AIC, variable importance for projection (VIP)AIC, VIPpredictive residual error sum of square (PRESS) were integrated with partial least squares regression for estimating LAI, and the estimation models of optimal LAI were presented by using AIC and compared with traditional PRESS function. The results indicated that the R2 of |r|-PLS-AIC, GRA-PLS-AIC, VIP-PLS-AIC and VIP-PLS-PRESS models were 0.72, 0.67, 0.73 and 0.70, respectively. The VIP-PLS-AIC had higher predictive ability for winter wheat LAI than VIP-PLS-PRESS. Considering time domain characteristics of LAI, the relevant data acquired in Tongzhou and Shunyi Districts, Beijing City, China, during 2009/2010 winter wheat growth seasons were used to validate the models in different years. The results showed that VIP-PLS-AIC with RMSE of 081 had higher predictive ability than |r|-PLS-AIC with RMSE of 0.87, GRA-PLS-AIC with RMSE of 0.96 and VIP-PLS-PRESS with RMSE of 0.83. The results indicated that AIC could not only obtain the estimation model of optimal LAI at the same year, but also could be applied to the LAI detection in different years.

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杨福芹,冯海宽,李振海,金秀良,杨贵军,戴华阳.基于赤池信息量准则的冬小麦叶面积指数估算[J].农业机械学报,2015,46(11):112-120.

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  • 收稿日期:2015-08-24
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  • 在线发布日期: 2015-11-10
  • 出版日期: 2015-11-10