General principles of studying regularities of biological populations’ dynamics for environmental protection and reclaim

Currently the ecological problems, including those arising in the process of environmental protection and sustainable use of resources, are solved within the paradigm of dynamic stability of biological communities in the natural environment. This paradigm is canonic in the ecology, it was formed during almost a century. Materials on the studies of various species populations and their generalizations are presented in books and monographs on the ecology of plants, animals, general ecology. It has almost become a rule in the scientific literature to include the discussion of mathematic modeling methods into the parts on dynamics of various organisms populations. On this way we can find a lot of monographs of domestic and foreign scientists. Populations of forest insects have become especially popular with the scientists completing their comprehensive research which includes building mathematical models and providing suggestions on various corporate actions aimed at environmental protection and reclaim. The forest insects are a rewarding object not only due to their numerosity which makes it possible to apply the apparatus of differential calculus to describe the population (density), discrete mathematics to study the structure of the populations (generations, age groups, sex dimorphism, etc). Different groups of xylophages and phytophagans demonstrate breeding grounds development, pandemic irruptions with unfailing regularity, allow the researcher making controlled experiments and assessing quantitative characteristics of the population and parameters of the animal units cooperation which are so necessary and indispensible for building the mathematical models.