  In the work two ways of evolutionary interpretation of entropy model for
correspondence matrix calculation are proposed. Both approaches based on the
stochastic chemical kinetic evolution under the detailed balance condition. The
first approach is based on the binary reactions, and the second one is based on
the population games theory. Both approaches allow one to understand better
possible physical interpretations of the classic model and to obtain the
answers for some open questions in neighborhoods branches. For example, one can
propose a selection rule to the unique equilibrium among the set of
equilibriums.
