164 
A NEW METHOD OF ESTIMATING STREAM-FLOW 
by this investigation, the influence of the specific day in increasing the flow during 
later days would be that indicated by the terms rji\, rji'i, r } R' t , 
r 10 R\ : the 
+r, (gain in storage) of the specific day becoming +r, the following day, +r, the 
next day following, and so on, all other r's on these days being zero, according to 
the assumption. From the preceding paragraph, 1.07 R\ per cent of the change in 
storage on the specific day will reach the stream on that day. Similarly, 1.07 R' t 
per cent of the change in storage on the specific day will reach the stream on the 
first day following (counting the specific day the 0th day); 1.07 R' t per cent will 
reach the stream on the second following day; 1.07 R\ per cent on each of the third 
and fourth following days; 0.107 R' t per cent on each of the fifth to eighth following 
days inclusive; 0.107 R\ per cent on each of the ninth to sixteenth following days 
inclusive; 0.107 R' 7 per cent on each of the seventeenth to thirty-second following 
days inclusive; 0.107 R' s per cent on each of the thirty-third to sixty-fourth follow- 
ing days inclusive; 0.107 R', a per cent on each of the sixty-fifth to ninety-sixth fol- 
lowing days inclusive; 0.107 R' ib per cent on each of the ninety-seventh to one 
hundred and twenty-eighth following days inclusive; and, 0.0107 R\ per cent on 
each of the one hundred and twenty-ninth to two hundred and fifty-sixth following 
days inclusive. The division of the constant 1.07 by 10 after R' « and again after 
R't h is to account for the change in units in the computation of the r's. 
Applying the above principles to (71), the results may be arranged as in the 
following table. 
Table 43 — Conversion of normal-flow constants to percentages, Stream A 
Constant 
Absolute value 
of constant 
from (71) 
Factor to con- 
vert col. 2 to per- 
centage of change 
in storage which 
is delivered on 
one day 
Per cent of 
change in stor- 
age which reaches 
stream on one 
day l 
Col. 2XCol. 3 
Number of days 
involved in 
each constant 
Total per cent 
of change in 
storage on 
specific day 
which reaches 
stream in each 
time interval l 
Col. 4XCol. 5 
R\ 
+0.28 
+0.21 
+0.14 
+0.079 
+ 0.50 
+0.10 
+0.40 
+0.92 
+ 1.15 
+ 0.51 
+2.17 
1.07 
1.07 
1.07 
1.07 
0.107 
0.107 
0.107 
0.107 
0.107 
0.107 
0.0107 
0.30 (±0.05) 
0.22 (±0.06) 
0.15 (±0.06) 
0.085(±0.037) 
0.054(±0.018) 
0.011(±0.012) 
0.043(±0.010) 
0.098(± 0.003) 
0.123(±0.016) 
0.055(±0.016) 
0.023(± 0.0022) 
Totals 
1 
1 
1 
2 
4 
8 
16 
32 
32 
32 
128 
257 
0.30 
0.22 
0.15 
0.170 
0.216 
0.088 
0.688 
3.136 
3.936 
1.760 
2.944 
R' t 
R\ 
R\. . 
R\ 
R' t 
R't 
R' s 
13.608 
In Table 43, column 4 shows the percentage of the change in storage on the 
specific day which reaches the stream by underground travel on each day of each 
time interval following that day which is involved in the definitions of the r's, 
assuming that no change in storage takes place after the specific, or Oth, day. Thus 
0.30 per cent of the change in storage the current day reaches the stream on that 
day, or Oth day; 0.22 per cent reaches it the first following day; . . . . ; 0.023 per 
cent of it reaches the stream on each of the one hundred and twenty-ninth to two 
1 Assuming no change in storage takes place after the specific or current day. 
