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偏最小二乘回归模型在非点源负荷预测中的应用
李家科1, 李怀恩1, 李亚娇1
西安理工大学 水利水电学院
摘要:
将偏最小二乘回归模型应用于流域非点源污染年负荷量预测,并与基于最小二乘的多元线性回归模型预测结果进行了对比.实例计算分析结果表明,偏最小二乘回归分析实现了多元回归、主成分分析和典型相关分析的综合,能较好地处理变量之间的多重相关性问题,建模所需样本少,且计算结果合理,具有较好的推广应用价值.
关键词:  多元线性回归  偏最小二乘回归模型  非点源污染  污染负荷预测
DOI:
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基金项目:国家自然科学基金重大研究计划项目(90610030);陕西省教育厅省级重点实验室重点科研计划项目(05JS35)
Application of partial least square regressive model in estimating the load of non-point source pollution
Abstract:
The partial least square regressive method (PLS) is applied to build the model estimating the annual load of NSP,whose results are compared with the ones of least square method.It is showed that PLS integrating the multi-regression,the principal component analysis and typical correlation analysis,can easily solve the multiple correlation problems in the multiple linear regressive analysis,and only need a few of data to build the model.In addition,the calculation results of PLS is credible,and the estimated regressive parameters with PLS are robust.To sum up,the method is feasible and practical.
Key words:  multiple linear regressive model  partial least square regressive method  NSP  prediction of pollution load

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