---------+------+------+------ DAY. | A | B | C ---------+------+------+------ 1 | 2,200| | 2 | 2,200| | 3 | 2,200| | 4 | 2,200| | 5 | 2,200| | 6 | | 2,000| 200 7 | | 2,000| 200 8 | | 2,000| 200 9 | | 2,000| 200 10 | | 2,000| 200 11 | 700| | 1,500 12 | 700| | 1,500 13 | 700| | 1,500 14 | 700| | 1,500 ---------+------+------+------ Total |13,800|10,000| 7,000 | | | Correct | | | discharge|12,800|10,300| 7,700 according| | | to Full | | | Supply. | | | ---------+------+------+------ The orders given to the gauge readers in these cases are simple, namely to give each branch full supply in turn, and to send the rest of the water down the channel next on the list. The number of days allotted to the larger branches are greater than to the smallest because this will probably be simplest in the end, and also because the number of distributaries on a larger branch is likely to be greater, and the allotment to the distributaries is thus facilitated somewhat. Each branch receives water in one period of consecutive days. Any splitting up of the turn would be highly objectionable. It would cause waste of water, and would give rise to much difficulty in redistributing the supply among its distributaries. Each branch receives its residuum turn before it receives its full supply turn. The advantage of this is that water is not let into the channel suddenly. The total supplies of A, B and C are in the ratio of 13·8, 10, and 7, and not, as they should be 12·8, 10·3, and 7·7, but no closer approximation can be got. If the number of days of full supply allotted to each branch is changed, or if the residuum from C is given to B, instead of A, the relative total discharges differ still more from what they should be. If now the total supply is supposed to be increased to 2,700 c. ft. per second, the discharges are as shown in table VI. TABLE VI. ----------+-------+-------+----- DAY. | A | B | C ----------+-------+-------+----- 1 | 2,500 | 200 | 2 | 2,500 | 200 | 3 | 2,500 | 200 | 4 | 2,500 | 200 | 5 | 2,500 | 200 | 6 | | 2,000 | 700 7 | | 2,000 | 700 8 | | 2,000 | 700 9 | | 2,000 | 700 10 | | 2,000 | 700 11 | 1,200 | |1,500 12 | 1,200 | |1,500 13 | 1,200 | |1,500 14 | 1,200 | |1,500 ----------+-------+-------+----- Total |17,300 |11,000 |9,500 | | | Correct | | | Discharge.|15,700 |12,600 |9,500 ----------+-------+-------+-----