Mathematical model for the research of environmental changes on the basis of biological indication

The mathematical models and their software implementation (computer models) for image analysis of annual tree rings to detect changes in environmental parameters reflected in the tree growth are provided. The fundamental properties of radial tree growth including the growth monotony in time and space and the speed limit are based on annual tree rings modeling, whereas the changes in wood density are considered as spatio-temporal oscillatory process. The solution of two-dimensional image analysis task of the tree rings, specifically the azimuth calculation and the average width of the maximum annual tree rings growth, the calculation of index values of the increase in the width of annual tree rings are showed. The results of analysis of environmental heterogeneity obtained at image processing of annual tree rings and the connection of increment index for Siberian cedar and summer precipitation are provided. For practical implementation of models the functional structure of a distributed computing system to process dendroecological data on LAMP freeware platform was developed.