Bertalanffy生长方程对峦大杉生长的拟合
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摘要
在阐述Bertalanffy生长方程基本性质基础上,运用单向差分最小二乘法、双向差分最小二乘法、中心差分最小二乘法对其模型参数进行估计;应用Bertalanffy生长方程对峦大杉(Cunninghamia konishii Hayata)生长进行拟合,验证参数估计有效性及适用性。结果表明:单向差分最小二乘法、双向差分最小二乘法、中心差分最小二乘法对Bertalanffy生长方程参数估计,有效、适用;应用Bertalanffy生长方程对峦大杉生长拟合优度,验证了Bertalanffy生长方程不仅适用于海洋生物,同样适用于拟合峦大杉的生长规律;由3种参数估计法对应的统计量(R2)表明,中心差分最小二乘法得到的回归模型拟合度,优于单向差分最小二乘法、双向差分最小二乘法。
On the basis of expounding the basic properties of Bertalanffy growth equation,one-direction difference least squares estimate method,two-direction difference least squares estimate method and the center difference least squares estimate method were used to estimate the model parameters. The Bertalanffy growth equation was applied to fit the growth of the Cunninghamia konishii Hayata. The results show that one-direction difference least squares estimate method,two-direction difference least squares estimate method and the center difference least squares estimate method are effective and applicable to Bertalanffy growth equation parameter estimation. The goodness of fit in C. konishii proves that the Bertalanffy growth equation is applicable not only to Marine life,but also to the growth of C. konishii. The statistics( R2) corresponding to the three parameter estimation methods show that the regression model fitting degree obtained by the central difference least square method is superior to the one-direction difference least squares estimate method,and two-direction difference least squares estimate method.
On the basis of expounding the basic properties of Bertalanffy growth equation,one-direction difference least squares estimate method,two-direction difference least squares estimate method and the center difference least squares estimate method were used to estimate the model parameters. The Bertalanffy growth equation was applied to fit the growth of the Cunninghamia konishii Hayata. The results show that one-direction difference least squares estimate method,two-direction difference least squares estimate method and the center difference least squares estimate method are effective and applicable to Bertalanffy growth equation parameter estimation. The goodness of fit in C. konishii proves that the Bertalanffy growth equation is applicable not only to Marine life,but also to the growth of C. konishii. The statistics( R2) corresponding to the three parameter estimation methods show that the regression model fitting degree obtained by the central difference least square method is superior to the one-direction difference least squares estimate method,and two-direction difference least squares estimate method.
引文
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[5]徐文科,乔钰.Logistic方程组的统计模型及对红松单木生长的拟合[J].东北林业大学学报,2015,43(10):68-71.
[6]徐文科.基于微分方程的生态数学模型统计分析[D].哈尔滨:东北林业大学,2009.
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