Research of the total amount of aboveground biomass in forests depending on the relationship between the height and diameter of the trunk of trees

The purpose of this study is to clarify the conditions for achieving the minimum total amount of aboveground biomass in forests, depending on such indicators as stem diameter and tree height. The aboveground biomass contained in forests makes up the bulk of the total biomass available in the forest ecosystem and makes it possible to determine the rate of change in the state of forests. This indicator also plays an important role in the planning of forestry activities. The amount of biomass in forests is of paramount importance when calculating the loss to the ecosystem that is formed due to degradation and deforestation, which ultimately leads to the generation of an additional amount of CO , which is the main greenhouse gas. In this study, the dependence of the total amount of biomass in forests on such indicators as tree height and trunk diameter has been studied. A zonal model of forest development is proposed and on this basis a target functional is formed in two variants corresponding to the known expressions of the dependence of the total amount of aboveground forest biomass on the above-mentioned tree indicators. Optimization problems are formulated taking into account additional restrictive conditions imposed on the functional dependence of the trunk diameter on the height of the tree. The solution of optimization problems, using the method of unconditional variational optimization, showed that the total amount of biomass in forests reaches a minimum in the presence of an inverse dependence of the trunk diameter on the height of trees. The results of the study allow us to determine a guaranteed minimum of biomass in forests, which in the future would lead to increased forest protection measures, to a more accurate assessment of the potential of forests to accumulate carbon.