A NEW METHOD OF ESTIMATING STREAM-FLOW 
17:^ 
The similarity between equations (78), (79) and (80), and equations (GO), (59) 
and (61) should be evident. 
The observation equations (page 172) are written in the form of equation (78) . 
The unknowns R /h R f i, R fl , ... at the beginning of each column should be 
considered as repeated down the column. The method of computing — 7* 1 will 
next be illustrated and thereafter an illustration will be given of the method of 
computing r„, r /2 , r /t , . . . 
The computation of — F, the absolute term in the above observation equations, 
was effected by the use of equation (79) in which the following values of the un- 
knowns were used: 
R"n = +0.067 
R" {i =+ .244 
#"„=+ .571 
R" f <=+ .723 
#" /8 =+6.81 
#" /8 =+4.54 
#",,= +2.02 
(81) 
These values were taken directly from preliminary results obtained on Stream 
A, in which the form of observation equation used was equation (57). In other 
words, the R" '/a in equation (81) for Stream B were the R'/s of equation (57) 
previously derived on Stream A as in step (2), page 147. 
Example of compulation of —F 
Solution K, Stream B, October 1911 
Date 
r/iS"/i 
r/iR /2 
rf%R"fi 
TfiR /4 
T/bR fb 
TfbR ;s 
ffiR'n 
-/'" 
-F 
1911 
Oct. 4 
5 
6 
+ 15(0.067) 
+ 197 
+ 5 
-289 
-304 
-312 
-400 
-459 
- 418 
-357 
-292 
-250 
-214 
-183 
-153 
-136 
-121 
-108 
- 95 
- 83 
- 78 
- 69 
- 66 
- 56 
- 51 
+ 6 
-272 
-247 
-189 
-247 
-303 
-275 
-214 
-149 
-105 
-119 
- 88 
- 58 
- 41 
- 26 
- 13 

+ 12 
- 36 
- 27 
- 24 
- 14 
- 9 
+ 15(0.244) 
+ 197 
+ 15(0.571) 
+ 197 
7 
+ 15(0.723) 
+212 
+ 197 
8 
9 
+ 2(6.81) 
+21 
+21 
+21 
+ 20 
10 
11 
12 
13 
+ 2(4.54) 
+21 
+ 21 
+ 21 
+ 21 
+21 
+21 
+ 21 
+ 20 
14 
15 
16 
17 
18 
19 
20.. 
21 
+ 2(2.02) 
+ 21 
+ 21 
+21 
+ 21 
+ 21 
22 
23 
24 
25 
26 
In the above example of computation of — F, the quantities in parentheses at 
the beginning of each column except the last two are the R"/s of equation (81). 
They should be considered as repeated down the column. The other quantities, 
except the last two columns, are the r/s of equation (78) and (79). The column 
headed —F' is the difference between the normal stream-flow of Stream B as com- 
puted from equation (77) and the observed flow, D'. (See Plate 13.) The column 
headed — F is the algebraic sum of the preceding eight columns. It is that part 
