Abstract

The interactions between trees in a forest are manifested in a decrease in phytomass growth and the weakening and disappearance of some trees. One of the ways to identify the nature of the relationship between trees in a forest is to study the current functions of distribution of trees in the stand in terms of height and trunk diameter. In this case, various functions are used for description: gamma function, normal and logarithmically normal functions, Weibull function, etc. To theoretically substantiate the choice of a particular distribution to describe the diameters and heights of trees in a stand, in this paper, it is proposed to use the Gaussian Orthogonal Ensemble (GOE) model used in nuclear physics to describe the distribution of energy levels of atomic nuclei and to characterize interactions in chaotic systems. It is shown that the interactions both in the atomic nucleus and in the forest stand can be described by a general model. To describe the taxation indicators of trees, the characteristics of reciprocal heights and diameters are introduced. The GOE model for the forest stand was verified according to the inventory data. It is shown that the parameters of the normalized GOE model do not depend on the age of the stand.

中文翻译：

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生态学和核物理学之间的共同点：库存数据中树木分布的随机矩阵模型

摘要

森林中树木之间的相互作用表现为植物群生长的减少以及一些树木的衰弱和消失。识别森林中树木之间关系性质的方法之一是研究林分中树木分布在高度和树干直径方面的当前函数。在这种情况下，使用各种函数进行描述：伽玛函数、正态函数和对数正态函数、威布尔函数等。为了从理论上证实选择特定分布来描述林分中树木的直径和高度，在本文中，建议使用核物理中使用的高斯正交系综（GOE）模型来描述原子核能级的分布并表征混沌系统中的相互作用。结果表明，原子核和森林中的相互作用可以用通用模型来描述。为了描述树木的税收指标，引入了高度和直径倒数的特征。根据清查数据对林分GOE模型进行了验证。结果表明，归一化 GOE 模型的参数不依赖于林分年龄。