Analytical Models of Forest Dynamics
  The hierarchical system of forest ecosystem models based on the theory of individual-based (structured) models of populations and communities is briefly described. New self-thinning models are integrated with tree stand models within a hierarchical system of models, aimed at assessing (quasi-) stable states of a forest ecosystem under given environment and management. Within the structural model of succession, the ergodic theorems in biology are proved. They assert that the areas of biocenoses in a climax state of association should be proportional to the proper times of their development in a succession line; the other characteristics of biocenoses should be also proportional to their own proper regeneration times in a climax state. A simple theoretical approach to estimating the deviation of the current state of forest ecosystem from its steady state is derived and applied to data from the Prioksko-Terrasny Reserve. The results obtained can serve as a theoretical basis in numerical processing of data on ecological monitoring of undisturbed forest lands. 
Georgy P. Karev