180 
A NEW METHOD OF ESTIMATING STREAM-FLOW 
Example of computation of D n , Solution A A, Stream A 
Date 
S c 
niR'i 
TliR'i 
rijK'a 
n t R\ 
n b R' b 
7(6#' 6 
7ljR' 7 
n s R'i 
n$R\ 
D„ 
1913 
Mar. 14 
+10S 
- 4(0.28) 
— 1(0.21) 
- 1(0.14) 
— 10(0.109) 
-2(0.84) 
-4(0.69) 
-8(0.62) 
-15(0.58) 
-4(4.4) 
+ 69 
15 
+ 108 
- 4 
- 4 
- 1 
- 5 
-2 
-4 
-8 
-15 
-4 
+ 08 
16 
+108 
- 6 
- 4 
- 4 
- 2 
-2 
-4 
-7 
-16 
-3 
+ 73 
17 
+108 
- 9 
- 6 
- 4 
- 5 
-2 
-5 
-7 
-16 
-3 
+ 71 
18 
+ 108 
-11 
- 9 
- 6 
- 8 
-1 
-5 
-7 
-16 
-3 
+ 71 
19 
+ 10!- 
- 4 
-11 
- 9 
-10 
-1 
-5 
-7 
-16 
-3 
+ 73 
20 
+ 108 
- 4 
- 4 
-11 
-15 
-1 
-4 
-7 
-16 
-3 
+ 72 
21 
+ 108 
- 4 
- 4 
- 4 
-20 
-2 
-4 
-7 
-17 
-3 
+ 71 
22 
+ 108 
- 6 
- 4 
- 4 
-15 
-2 
-3 
-7 
-17 
-3 
+ 71 
23 
+ 108 
- 4 
- 6 
- 4 
- 8 
-3 
-3 
-7 
-18 
-3 
+ 72 
24 
+ 108 
- 4 
- 4 
- 6 
- 8 
-3 
-3 
-6 
-18 
-3 
+72 
25 
+ 108 
- 1 
- 4 
- 4 
-10 
-3 
-3 
-7 
-17 
-3 
+73 
26 
+ 108 
- 4 
- 1 
- 4 
-10 
-2 
-4 
-7 
-17 
-3 
+73 
27 
+ 108 
- 6 
- 4 
- 1 
- 8 
-2 
-4 
-8 
-17 
-3 
+ 71 
28 
+ 108 
- 9 
- 6 
- 4 
- 5 
-2 
-4 
-8 
-17 
-3 
+ 69 
29 
+ 108 
- 6 
- 9 
- 6 
- 5 
-2 
-4 
-7 
-17 
-3 
+70 
30 
+ 108 
-11 
- 6 
- 9 
-10 
-2 
-5 
-7 
-16 
-3 
+ 71 
31 
+ 108 
-12 
-11 
- 6 
-15 
-1 
-5 
-7 
-16 
-3 
+70 
Apr. 1 
+ 108 
- 7 
-12 
-11 
-15 
-2 
-5 
-8 
-16 
-3 
+67 
4 
+ 108 
-10 
- 1 
- 7 
-19 
-3 
-3 
-9 
-15 
-3 
+69 
5 
+ 108 
-12 
-10 
- 1 
-14 
-4 
-3 
-8 
-15 
-3 
+69 
6 
+ 108 
- 7 
-12 
-10 
- 8 
-4 
-4 
-8 
-15 
-3 
+68 
7 
+ 108 
- 7 
- 7 
-12 
-11 
-4 
-4 
-8 
-16 
-3 
+09 
8 
+ 108 
- 2 
- 7 
- 7 
-22 
-3 
-4 
-8 
-16 
-3 
+70 
9 
+ 108 
- 5 
- 2 
- 7 
-19 
-2 
-5 
-8 
-16 
-3 
+72 
10 
+ 108 
- 6 
- 5 
- 2 
-14 
-3 
-6 
-8 
-16 
-3 
+ 69 
11 
+ 108 
- 9 
- 6 
- 5 
- 9 
-3 
-6 
-7 
-16 
-3 
+ 69 
12 
+ 108 
-12 
- 9 
- 6 
- 7 
-4 
-6 
-7 
-16 
-3 
+68 
15 
+ 108 
-20 
-17 
-13 
-21 
-2 
-7 
-9 
-15 
-3 
+ 59 
16 
+ 108 
-17 
-20 
-17 
-25 
-2 
-6 
-9 
-15 
-3 
+ 60 
Note also that the term n 10 R\ has been omitted from the above computation, 
for the reason that the n 10 's, if computed, would reach back into the preceding fall 
before the beginning of the freezing-melting period. It is to be remembered that 
the purpose of Solution AA is to derive better values for C, F, M and T" than those 
from previous solutions, constants for expressing the rate of change in storage per 
day per degree F, due to freezing and melting, hence observations outside the 
freezing-melting period can not be used. This omission of the rii M' i o — term intro- 
duces an error which is nearly constant, hence is possibly largely thrown into the 
derived value of C. 
EXAMPLE OF COMPUTATION OF D, AND -D, SOLUTION AA, STREAM A 
In the computation of D f , equation (44) is used, substituting therein the best 
values of R' t \, R' n, R' n . . . and G determined to date, and the computed values 
of n h n h n 3 . . . as computed from equation (40) and used in the preceding illus- 
tration. The computation of — D is effected by use of equation (45), in which D„ 
is that already illustrated as computed from equation (43), and D' is the observed 
flow. 
The best values of R' fl , R' n , R' t % . . . and of G available at the time of this 
solution were those of equation (87) and Table 46, respectively. Using those values, 
the computation of D { and — D is as follows: 
