Fractal River-Flow Diagnostics for Stable Description of Long-Term Variations of Hydrologic Characteristics

V. V. Kovalenko, E. V. Gaidukova, and A. B. G. Kuassi

The dimensions of embedding spaces for maximum, annual, and minimum flows, as well as for lake levels and suspended alluvium flows, are estimated using the fractal diagnostics. The background distribution of the above dimension for the annual flow was mapped with GIS technology for Russia. With such estimates, we can define the number of differential equations necessary to stably describe statistical distributions widely applied in water-depending branches of economics and hydroecology according to regulations in force.