The Chapman-Richards Function and its two exception cases in applications were discussed and compared with the Schnute model in stand growth studies. Compared from all perspective, it was found that the Schnute model ...The Chapman-Richards Function and its two exception cases in applications were discussed and compared with the Schnute model in stand growth studies. Compared from all perspective, it was found that the Schnute model commonly used in foreitry was identical to the Chapman-Richards function. If some parameter in the Chapman-Richdrds Function was unconstraint, the function could also be very versatile to fit some exceptional growth curves, the fitted function should be identical to that the Schnute model.展开更多
通过对Chapman-Richards函数中的参数h, k 和 m取任意值,文中导出了广义的Chapman-Richards模型。基于通解的结构和生物学解释,该模型可以划分为8种类型(3大类),其中4种类型代表着树木和林分生长的4种典型生长模式,适合于在林业中应用...通过对Chapman-Richards函数中的参数h, k 和 m取任意值,文中导出了广义的Chapman-Richards模型。基于通解的结构和生物学解释,该模型可以划分为8种类型(3大类),其中4种类型代表着树木和林分生长的4种典型生长模式,适合于在林业中应用。文中详细讨论了这4个模型的性质和参数的生物学意义。广义的Chapman-Richards模型能够很好地描述有渐进线或无渐进线,存在拐点或不存在拐点的各种生长曲线。为了说明模型的普适性,将该模型应用于4种不同初植密度的柳杉人工林林分平均胸径生长和红松天然林树木胸径和树高生长模拟中。通过比较广义的Chapman-Richards模型和Schnute模型,发现两个模型的参数和方程表达式是可以在理论上互相导出,从实际应用结果来看两者拟合结果也完全一致。图3表5参19。展开更多
文摘The Chapman-Richards Function and its two exception cases in applications were discussed and compared with the Schnute model in stand growth studies. Compared from all perspective, it was found that the Schnute model commonly used in foreitry was identical to the Chapman-Richards function. If some parameter in the Chapman-Richdrds Function was unconstraint, the function could also be very versatile to fit some exceptional growth curves, the fitted function should be identical to that the Schnute model.
基金This research was supported by Excellent Youth Teacher Project of Ministry of Education.
文摘通过对Chapman-Richards函数中的参数h, k 和 m取任意值,文中导出了广义的Chapman-Richards模型。基于通解的结构和生物学解释,该模型可以划分为8种类型(3大类),其中4种类型代表着树木和林分生长的4种典型生长模式,适合于在林业中应用。文中详细讨论了这4个模型的性质和参数的生物学意义。广义的Chapman-Richards模型能够很好地描述有渐进线或无渐进线,存在拐点或不存在拐点的各种生长曲线。为了说明模型的普适性,将该模型应用于4种不同初植密度的柳杉人工林林分平均胸径生长和红松天然林树木胸径和树高生长模拟中。通过比较广义的Chapman-Richards模型和Schnute模型,发现两个模型的参数和方程表达式是可以在理论上互相导出,从实际应用结果来看两者拟合结果也完全一致。图3表5参19。