Vízügyi Közlemények, 1967 (49. évfolyam)

4. füzet - Rövidebb közlemények és beszámolók

(4 3) INDICES OF THE WATER MANAGEMENT BALANCE By M. Domokos, Civ. Engr. (For the Hungarian text see pp. 313) The objective of the present paper is to develop from the practice gained with •water management balances in Hungary a general theoretical model of the water management balance, which on the one hand can be applied to various kinds of water management balances encountered so far in pratice, and on the other hand offers possibilities for the practical realization and utilization of the water management balance obtained by generalization.. Auxiliary concepts which are necessarily involved in the theory of water balances are the various degrees of sensitivity to deficiencies of supply and the different two- and three-dimensional configurations representing the distribution of data on water resources, or more generally the patterns of such sets of data. In connection with these two auxiliary concepts the paper is largely limited to references to the more recent literature [6,15] on this subjects. Before dealing with the theory underlying the water management balance proper, the position there-of in the general conceptual framework of water balance and the relations of the water management balance to the other water balance concepts—the water ho use ho Id and the hydrologieal balance—are examined. It is established that from the most general water balance concept

, i.e., from the waterhousehold balance, the hgdrological balance can be derived as a particular case of the former, while the water management balance is obtained by simple average formation. The foundation for the theoretical development of the water management balance is the general equation y = уШЕ, t), UE, t),

... UE, 0] = y(E, 0 I £€{£;.} and UT, or t£T

x\ where у is the index of the water management balance, f, is one element of the water balance equation, E denotes a water management unit, {E>) is the system of water management units (e.g. system of sub-catchments within a basin), t is time, while T and T* are actual and ideal reference periods, respectively. By keeping one of the variables t and E constant, from the general equation different kinds of water balances can be derived: the water management profile, the water management record and the summarized water balance, as well as a variety of water balance combinations consisting of a finite number of summarizing water balances (Figs. 1 and 2). All kinds and combinations of the water balance can be composed of an infinite, or finite number of summarizing water balances. Considerations on the theory of the water management balance can thus be reduced essentially to the system of indices of the summarizing water management balance. The most important parts II, III and IV of the paper are devoted to this subject. By keeping E constant in the general equation, the expression of the water management record is obtained. Here the variables are classified into two groups and combined suitably to obtain the two sides of the water balance, namely the available resources K(t) and the demands 7(t) both expressed as functions of time. (The conventional interpretation of balance sides in summarized in Table I.) If the sides of the water balance and their functions of time are given numerically and the method of their interpretation is also established, then according to the formulation y(t) = <p[K(t), I(t)] the index y(t) of the water balance and thus the type of the water balance itself depend solely upon the type of the relationship q>. The relationship q

о expressing the quantitative side of the representative summarized water balance on surface water resources has been examined in the paper to determine—utilizing the broad possibilities remaining within the general definition of the water management balance —the most suitable method for its interpre-