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The methodology of sustainable forecasting of runoff and diagnosing bifurcations of its formation, being considered in the article, allows solving fundamentally new hydrological problems (including problems of engineering hydrology) related to the possibility of obtaining long-term estimates of the probabilistic characteristics of long-term river runoff under the conditions of evolutionary changes in the runoff formation factors (climate and anthropogenic activity on catchments). Currently, these long-term estimat...

The article considers the solving the problem arising at the mathematical modeling of hydrological processes, namely, the problem of the number of phase variables taken into account in the model. The number of variables in the model can change depending on the climate. The fractal dimension characterizes required number of variables. In the article the results of applying the established regularity of the influence of the long-term norm of surface air temperature on the fractal dimensionality of the annual runoff ...