CurveExpert在辽东山区红松单木材积生长模型的应用

Application of CurveExpert on individual volume growth model of Pinus koraiensis in eastern mountainous region of Liaoning Province

CurveExpert1_3是Windows系统的一个综合性的曲线拟合的软件，内置许多回归模型（线性和非线性），并可自定义模型，能准确、便捷的对数据进行拟合分析。本研究以辽东山区人工红松为目标，应用CurveExpert软件的函数自动拟合特性，对红松单木材积进行分析，结果显示：模型残差占实测值比例低于5％的模型，正弦函数、MMF模型和Gompertz模型适合拟合18～50a的材积生长过程；二次多项式适合拟合22～50a的单株材积生长过程；幂函数适合拟合24-50a单株材积生长过程；Logistic模型适合拟合32～50a的单株材积生长过程。从本研究结果来看，正弦函数、MMF模型和Gompertz模型的应用范围较广泛。而Logistic模型使用范围相对较窄。

CurveExpert 1.3 is a comprehensive curve fitting system in Windows system. It employed a large number of regression models （both linear and nonlinear） to fit your data in the most precise and convenient way. In addition, the us-er may define any customized model for using in regression analysis. In this study, the artificial Pinus koraiensis in east- ern mountainous region of Liaoning Province was as research object, automatic matching characteristics of CurveExpert software was applied to analyze individual volume growth ofPinus koraiensis. The result showed that model residual was less than 5% in measured value model. Sine fimction, MMF model and the Gompertz model was suitable for fitting vol- ume growth process of 18 to 50 years old Pinus koraiensis; Individual volume growth process of a quadratic polynomial was suitable for fitting volume growth process of 22 to 50 years old Pinus koraiensis. Power function was suitable for fit-ting individual volume growth process of 24 to 50 years old Pinus koraiensis. Logistic model was suitable for fitting individual volume growth process of 32 to 50 years old Pinus koraiensis. In short, the sine function, the MMF model and Gompertz model had a wide scope of application, while the Logistic model range was relatively narrow.