Analysis of simulation practice of reproduction of fish and nonlinear interpretation for statistics observation

In this article we consider the problem of establishing compliance with the observed evolution of the reality of commercial fish populations and possible modes of behavior of the trajectories of discrete dynamical systems. Many applied population models with qualitative changes of behavior operate on a not interpretable in terms of the ecology of the species characteristics, as a sign of the third derivative of the second iteration of the function of reproduction at the time of the loss of stability of the stationary point. In the examples shown, the statistical approximation of observational data leads to addiction, which excludes the reality of the observed behavior of the population. We discussed criteria that can be used when analyzing the results of computational modeling in terms of biological relevance. It is assumed that the rate of change in the number of models must be an interval of negative values, and reproduction curve for at least two nontrivial stationary points. Taking into account existing environmental impact Аllee models will contribute to a better interpretation of the essential, differentiation occurring in discrete iterative systems of nonlinear effects and will introduce the concept of a critically low number of fishing populations. Such models may have aperiodic dynamics of alternative species in the interval attractor.