Modeling the Forest Stand Growth Dynamics Based on the Thermodynamic Approach
Journal Title: Lesnoy Zhurnal (Russian Forestry Journal) - Year 2022, Vol 12, Issue 3
Abstract
The forest ecosystem is a common example of the functioning of open thermodynamic systems. The work analyzes the change in the entropy of an open thermodynamic system where the following processes can be realized: absorption of short-wave solar radiation – differentiation process; total biomass growth process associated with the consumption of resources for respiration and competition. As a result of these processes, the negative entropy flow enters the system, and the positive entropy is produced in the system. As the stand grows, its biomass reaches a maximum, which corresponds to the steady state in the ecosystem. It is shown that, in accordance with the Prigogine’s theorem, the specific entropy production in an open system takes on a minimum positive value. With a further increase in the age of the stand, the steady state of the open thermodynamic system evolves to an equilibrium state, at which a decrease in the plant biomass is observed, and the entropy tends to a maximum value in accordance with the 2nd law of thermodynamics (ecosystem decay). The analysis of the behavior of an open thermodynamic system forms the basis of a new ecological and physiological model of the stand growth dynamics. The model proposed uses the following parameters: the biomass of an individual tree and the number of trees per hectare. In order to model the biomass growth dynamics of an individual tree, the von Bertalanffy equation is used. It contains a dynamic equation describing growth of an individual due to resource uptake and limitation of growth due to resource consumption. The equation that characterizes the dynamics of stand size derives from the condition of reaching the maximum biomass of the stand during the stand’s growth. In general, the stand’s dynamics model has only three independent parameters. They are the onset time of the steady state, the resource consumption rate and the factor linking the area and biomass of the organism. The model verification is presented by calculating the biomass dynamics for full (normal) pine plantations of the first five quality classes (Ib, Ia, I, II, III). The model’s quality is assessed by the dimensionless Nash-Sutcliffe model efficiency coefficient, the value of which is usually greater than 0.95. This corresponds to a description of the data that is close to ideal.
Authors and Affiliations
Viktor I. Lisitsyn, Michael V. Drapalyuk, Nikolai N. Matveev
Keywords
Related Articles
- EP ID EP704917
- DOI 10.37482/0536-1036-2022-3-213-225
- Views 136
- Downloads 0
Dimensional and Qualitative Characteristics of Round Timber Harvested in Arkhangelsk Region
The efficiency of woodworking enterprises largely depends on the size and qualitative characteristics of round timber. The paper aims to assess the main inventory characteristics of round timber in economically accessibl...
Calculation of the Coefficient of Adhesion of the Forest Machine Wheeled Mover with Soil
The issues of operational and ecological efficiency of wheeled and tracked forest machines have been addressed within the framework of the direction, and previously a separate scientific specialty âTechnology and machi...
Evaluation of the Accuracy of Wood Drilling Resistance Measurement Method in Dendrochronological Studies
One of the promising methods for determining physical and mechanical properties and structure of wood is the method based on the measurement of drilling resistance. Limitations of application of the method of measuring d...
Effectiveness of Introduction of Rare Plants in the Arboretum of Khakassia
According to the International Agenda for Botanic Gardens in Conservation about 500 species of woody plants, which represent six regions of the world, are conserved in the collection of the Research Institute of Agricult...
Geographical Features of Pinus sibirica Du Tour Renewal
One of the main problems of forest ecology is to identify the patterns of the dynamics of natural populations of woody plants at the stage of their renewal, which programs the entire subsequent structure and development...