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- Title
A nonlinear stochastic model describing the formation of daily and mean monthly water flow in river basins.
- Authors
Dolgonosov, B.; Korchagin, K.
- Abstract
The dynamics of runoff from a watershed is considered based on the momentum balance equation. A nonlinear runoff equation is obtained under some assumptions. The stochastic character of the process is allowed for by the introduction of two noises, which account for fluctuations in precipitation and the heterogeneity of watershed characteristics, respectively. Transition to a probabilistic description yields a new class of probability distributions of river runoff. The distributions of this class are controlled by the most fluctuating process: either by atmospheric precipitation, in which case the probability of high water flow decreases exponentially, or by the variability in the watershed structure, which yields the probability decreasing in accordance with a power law. The exponent in this law is related to the flow resistance law for water flowing over slope and channel parts of the watershed. Analysis of the obtained results showed the theoretical and empirical distributions for the Moskva and Volga rivers to be in satisfactory agreement.
- Subjects
WATERSHEDS; AERATED water flow; LANDFORMS; STOCHASTIC processes; RIVERS; ECOLOGICAL heterogeneity; HETEROGENEITY; HYDROLOGIC cycle; BODIES of water
- Publication
Water Resources, 2007, Vol 34, Issue 6, p624
- ISSN
0097-8078
- Publication type
Article
- DOI
10.1134/S0097807807060036