Identifying the precise source of delivered flow in water distribution systems is increasingly important. The necessity for this arises when individual supplies exceed allowable levels of certain chemical or biological constituents. An explicit methodology to make these calculations for complex water distribution systems is presented. The methodology requires the solution of a set of linear equations of order equal to the number of junctions. The equation coefficients are based on the flow distribution for the system demands under consideration. Because the explicit solution procedure requires the simultaneous solution of large equation sets for large networks, an alternative solution technique was developed. This iterative cyclic technique solved the equations in a simple, cyclic manner requiring little computer storage and proved to be an efficient scheme for carrying out the calculations. Includes 5 references, tables, figures.