Three levels of mathematical models are offered: analytical, optimization and imitational. Within the framework of analytical models (Navruzov, 1991), the theoretical game models for the distribution of water resources between the states of the Amudarya basin are considered. A number of characteristic examples of games with non-opposite interests are discussed.
Optimization models (Navruzov, 1990) of the reservoir management of the upstream water resources of the Amudarya are offered, which use as a base the "block-hierarchical" principle, which at the initial stage provides for the development of different national models and their further coordination within the framework of regional models. According to this, we can divide the territory of the Amudarya basin into two zones: the zone of water demand and the zone of water production.
The technique of finding a compromise solution among the needs of the states, in terms of the volumes of water consumed at the level of the coordination of management between zones of consumption and formation is offered.
Construction of imitational models is carried out on example the Vakhsh-Amudarya cascade of reservoirs (Navruzov, 1986, 1991). The cascade includes three large reservoirs, such as Rogun, Nurek and Tuymuyn. Mean while, these reservoirs are located in the territory of different Central-Asian republics, namely: Rogun and Nurek belong to Tajikistan and Tuymuyn to Uzbekistan.
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