Abstract
A mathematical model is proposed that describes the age-related dynamics of the vector of means and the covariance matrix of characters of individuals in the Sakhalin pollock population Gadus chalcogrammus (Pallas, 1814). The model is based on the Bertalanffy and Gompertz equations. The covariance matrix is composed of two parts: noise (caused by rapid random fluctuations in environmental conditions) and structural (due to intrapopulation variability of the parameters included in the growth equations). The model well reproduces the age dynamics of the distribution of fish according to the quantitative characters of individuals. The age-related increase, the passing through a maximum at a young age, the subsequent decrease in dispersions and their stabilization at low levels in the length and mass of the body of adult fish have been described. The age-related decrease in the correlation between length and body mass has been explained.
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