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非线性模型线性化的度量准则及其应用
引用本文:佘光辉,刘恩斌,叶金盛,林寿明.非线性模型线性化的度量准则及其应用[J].南京林业大学学报(自然科学版),2005,29(5):17-20.
作者姓名:佘光辉  刘恩斌  叶金盛  林寿明
作者单位:1. 南京林业大学森林资源与环境学院,江苏,南京,210037
2. 广东省林业勘测设计院,广东,广州,510500
基金项目:国家自然科学基金资助项目(30571491)
摘    要:应用非线性回归经典理论,阐述非线性模型线性化的标准。用固有非线性和参数效应非线性作为判断准则,可加快模型拟合的速度,提高精度,为林木生长模型的参数辨识提供较好的方法。该判断准则实用、简单、准确、结论唯一。

关 键 词:非线性模型  线性化  非线性强度
文章编号:1000-2006(2005)05-0017-04
收稿时间:2004-09-21
修稿时间:2004-11-02

Measured Criteria and Application of Nonlinear Model Linearized
SHE Guang-hui,LIU En-bin,YE Jin-sheng,LIN Shou-ming.Measured Criteria and Application of Nonlinear Model Linearized[J].Journal of Nanjing Forestry University(Natural Sciences ),2005,29(5):17-20.
Authors:SHE Guang-hui  LIU En-bin  YE Jin-sheng  LIN Shou-ming
Institution:1. College of Forest Resources and Environment Naniing Forestry University, Nanjing 210037 ,China; 2. Forestry Surveying and Designing lnstit ute of Guangdong Province, Guangzhou 510500, China
Abstract:In the forest research,many tree growth models are nonlinear ones.The classical method dealing with these nonlinear models is linear approximation using the approximate value of parameter,due to the difference of nonlinearity among different nonlinear models,in which the nonlinear models cannot be linearized.This paper introduces a method to measure nonlinearity of nonlinear models and presents the intrinsic nonlinearity and parameter-effects nonlinearity of nonlinear models.Forestry resources's surveying sample data is tested by use of this method.The result shows that this method has many useful characteristics for the tree growth models.
Keywords:Nonlinear model  Linearized  Nonlinear strenghtn
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