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植物结构-功能模型(Functional-structural models,FSMs)将结构模型与过程模型结合起来,用以描述环境机制驱动的植物生长,输出植物的三维结构。GreenLab是一个近年来不断发展着的基于源-汇关系的通用植物结构-功能模型,它多应用于农作物,在树木方面的应用还很少。该文以幼龄油松(Pinus tabulaeformis)为研究对象,首次将GreenLab模型应用到虚拟树木生长的研究中。采用破坏性取样,实测了9株油松幼树的形态结构、拓扑结构和器官生物量信息,根据拓扑编码体系组织数据。模型的直接参数是通过实测数据获得的,隐含参数是利用非线性最小二乘法拟合反求获得的。对模型的假设进行了验证,并对模型的模拟效果进行了评估,结果表明:节间总鲜质量、树木叶总鲜质量、节间鲜质量、节间长度观测值和模型模拟值建立的回归方程的决定系数在0.78～0.91之间,因此该模型较真实地反映了油松的结构和生长过程。提出的树木结构和生物量测量及编码方法,可作为针叶树建立结构-功能模型的参照。
Functional-structural models (FSMs) combine a structural model with a process model to describe the environmental mechanism-driven plant growth and export the three-dimensional structure of a plant. GreenLab is an evolving common plant structure-function model based on source-sink relationship in recent years. It is applied to crops and has few applications in trees. In this paper, Pinus tabulaeformis was selected as the research object, and GreenLab model was first applied to the study of virtual tree growth. Destructive sampling was used to measure the morphological structure, topological structure and biomass information of nine Pinus tabulaeformis trees, and the data were organized according to the topological coding system. The direct parameters of the model are obtained from the measured data. The implicit parameters are obtained by nonlinear least squares fitting. The hypothesis of the model was validated and the simulation results of the model were evaluated. The results showed that the regression of the total fresh weight of the internode, the total fresh mass of the leaf, the fresh mass of the internode, the internode length and the model simulation The coefficient of determination of the equation is between 0.78 and 0.91, so the model more accurately reflects the structure and growth process of Pinus tabulaeformis. The proposed tree structure and biomass measurement and coding methods can serve as a reference for the establishment of structure-function models for conifers.