林木的结构-功能模型(functional-structural tree modeling,FSTMs)是基于器官级组件构建的将植物结构和功能结合起来的一类模型,在应用于成年树时需要解决拓扑结构复杂性和年轮分配模式普适性的问题。该文以18年生和41年生的油松(Pinus tabulaeformis)成年树为研究对象,将GreenLab模型应用到成年树的模拟中。采用破坏性取样,实测了2株油松成年树的形态结构,利用子结构模型解决成年树拓扑结构复杂性的问题,引入年轮影响系数λ,将全局分配模式和Pressler模式结合起来,解决年轮分配模式在不同年龄和环境条件下不同的问题。模型的直接参数通过实测数据获得,隐含参数利用非线性最小二乘法拟合反求获得。通过实测数据与模拟数据的对比、模拟数据与经验模型模拟数据的对比,对模型的模拟效果进行了评估,发现节间总重、针叶总重、树高、树干节间重观测值和模型模拟值建立的回归方程的决定系数为0.84-0.98,结构-功能模型与经验模型对总生物量模拟的决定系数为0.95,表明该模型能较真实地反映油松的结构和生长过程。
Aims In functional-structural plant modeling,trees are composed of elements at the organ level and combined physiological processes and morphological structures.When it is applied to adult trees,we must deal with com-plexity of topology and consider ring growth.Our objective was to apply the functional structural model GreenLab to adult Pinus tabulaeformis trees and parameterize and validate the model.Methods Destructive sampling was done to collect detailed data including structure and biomass measurements from one 18-year and one 41-year P.tabulaeformis.To extend its application in adult tree growth analysis,we used substructure model to simplify tree topology and introduce ring biomass allocation parameter λ to mix Pressler model and common pool model to analyze tree ring growth in different ages and different environments.Direct parameters were attained from the measurement data,and hidden parameters of the model were calibrated using the generalized least squares method.The model was validated by comparing simulation data with observed data and comparing simulation data to data calculated by empirical model.Important findings Simulations of P.tabulaeformis growth based on the fitted parameters were reasonable.The coefficients of determination of linear regression equations between observations and predictions ranged from 0.84 to 0.98.The coefficient of determination of linear regression equations between GreenLab simulation data and empirical simulation data was 0.95.The results showed that the GreenLab model can be a new tool to simu-late tree biomass at different growth cycles.