关于树叶质量的建模与分析

Modeling and Analyzing the Leaf Mass of the Tree

结合质量守恒原理和能量守恒原理,建立了树叶质量的估计模型,经过对模型的分析,给出了树叶为什么会有各种形状的原因,揭示了树叶形状与树的外形的关系,给出了树冠、树叶等主要部分的质量公式。最后,测量了三类树种共14棵树的主要参数。数值计算结果显示,测量结果与理论结果在平均意义下是一致的。特别地,给出了两类树种的单叶面积与树冠高宽比之间的表达式。

In this paper,we established a model to estimate the leaf mass of the tree by the mass conservation law and energy conservation law.Following this model,we found the answer to why the leaves have the various shapes,deduced the relationship beween leaf shape and the tree structure,and finally presented several formulations to compute the mass of the leaves and the crown.Meanwhile,we measured the values of the main parameters for fourteen trees,which belong to three species.The simulation results show that the measured values is macthed well with the data from our models.Especially,we obtained the quantity formula among the single leaf area,the height and width of the crown.