Modeling the biological maturity age of pine and oak forest stands

The age of biological maturity is the age corresponding to the maximum value of the average annual growth of the forest stand. When the age of biological maturity is reached, the transition from the formation of a forest stand to its maturity takes place. At the same time, the maximum increase in the total biomass is observed and abundant fruiting begins. Empirical data on the current growth of pine and oak stands in terms of overall productivity were taken from A.Z. Shvidenko tables. As an analytical dependence of the biomass of forest stands on time, an ecophysiological model was used, which is explained from the point of view of non-equilibrium thermodynamics for open systems. Approximating the empirical values near the position of the maximum growth by a simple analytical dependence, we obtain the time at which the growth of the forest stand reaches its maximum value. On the other hand, the stand biomass is proportional to the growing stock with acceptable accuracy, especially in a fairly short period of time. In this case, the maximum increase can be determined by taking the second derivative of the function expressing the dependence of biomass on time and equating it to zero. Comparing the values obtained by these two alternative methods, one can judge the reliability of the results obtained and the quality of the tree-stand model used. The paper substantiates two alternative methods for determining the age of biological maturity of a forest stand. An important result for ecological and physiological modeling is the inclusion of the age of biological maturity in the FLR-model, since the maximum deviation of theoretical values from the corresponding empirical values is observed at small ages. In the future, it is planned to thermodynamically substantiate (or refute) the need to implement the process of ecological and physiological modeling of a stand starting from the age of biological maturity. There is reason to assume that the age of biological maturity determines the age from which it is possible to consider a dry ecological system.

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