236 
INDEX 
Pages 
Residuals — Continued 
of Solution V&. Comparison of theoreti- 
cal with actual distribution .... 86-90 
of Solution Vt,, Lake Michigan-Huron . . . 85-90 
Stream A. Distribution of 202-205 
Stream B. Distribution of 203-205 
Resume of theory 219-222 
Rise in mean level, Lake Michigan-Huron. 
Example of computation of . . . . 33 
Rules for applying this method 226-228 
Run-off 
constant part 9 
constant part. Example computation 
approximate value, Lakes 
Michigan-Huron and Superior. . 17-19 
constant part. General method deriving 
approximate value, Lakes 
Michigan-Huron and Superior. . 16 
constant part. Relation to mean, 
median and mode 211-219 
constant part. Variations from mean 
value 217-218 
determining effect of forest cover on 229 
from land into Lake Michigan-Huron, 
1909-1913 52-72 
Lake Michigan-Huron. Method of re- 
vising first approximation to 
constant part of 117-118 
Lake Superior. Constant part of 118 
Stream A. Observed 150 
Streams A and B, curves 178-179 
Stream B 207-210 
systematic error introduced by assuming 
it constant 80 
variable part 85 
variable part. Effect on derived values 
of Ei and Ei 118-119 
variable part. Effect on observed rise 
of lake surface 84 
variable part of, into Lake Michigan- 
Huron 102-112 
variable part of, into Lake Superior 112-117 
Run-off and evaporation 
entanglement between 118 
observation equations for simultaneous 
determination of 1 10-1 1 1 
Saturation deficit 
(see vapor-pressure potential) 
S c and li io 
Adjustments to. Example of ^observa- 
tion equations 167-168 
Scope of investigation 6-7 
Seiche effects of, on absolute term of evapora- 
tion observation equation 80 
Slope travel 222-223 
Smoothing the R"a 165-166 
Solution 
BBi, Lake Superior. Evaporation curve 
of 94-96 
BB2, Lake Superior. Study of form of 
equation of 98-99 
BB2 and V2 residuals studied to estimate 
shape of evaporation curve .... 94-96 
BB t , Lake Superior 90 
V2, Evaporation not affected by small 
winds 93, 94 
Fj, Lake Michigan-Huron. Evapora- 
tion curve of 96-97 
Vt, Lake Michigan-Huron. Residuals 
from 85-90 
Vt, residuals. Comparison of theoretical 
with actual distribution 86-90 
Pages 
Stations 
meteorological, near Lake Michigan- 
Huron 10 
meteorological, near Lake Superior 10 
Stelling 
evaporation formula. Comparison with 
one developed in this investiga- 
tion 126-129 
Storage 
change in. Definitions 135-136 
decrease in, in lakes and streams and 
ground-water 16 
Stream A 
conversion factor 150 
example of computation of 
—D 151-154 
n, r 2 ,r 3 . . . m 151-156 
x f and x 185-186 
Xn 184-185 
flood-flow equation 178 
frequency of discharge 215 
moments of frequency curve of 212-214 
normal equations for normal stream-flow . 161-163 
normal-flow constants. Method of 
smoothing 165-166 
observation equations for determining C, 
F and M. 
Examples of 188-191 
rainfall stations 150 
Ei 
ratio of jr - used 150 
residuals. Distribution of 202-205 
run-off. Observed 150 
substitution in observation equations for 
normal stream-flow. Example 
of 169-170 
temperature stations 150 
values of G for 171-172 
vapor-pressure stations 150 
wind movement 155 
Streams, applications this method to other. . 222-229 
Streams A and B 
characteristics of 178-179 
general method of procedure on 146-147 
run-off curves 178-179 
E t 
Stream B, example of computation of tt 160-161 
example of computation of — F 173-174 
flood-flow. Example of observation 
equations for 172-173 
flood-flow normal equations. Examples 
of 174-175 
normal flow. Equation of 170-171 
residuals. Distribution of . .' 203-205 
values of G for 171-172 
Stream-flow 
comparison computed with observed 
daily 205 
flood with non-flood months 205 
monthly 206 
period 1914-15 with 1911-12-13 .... 206 
spring flood 206-207 
yearly 207 
computed. Accuracy as tested by 
graphs 199-205 
numerical comparison 205-207 
tests of overall accuracy of 197-207 
estimating. Rules for applying this 
method 226-228 
flood-flow 
accuracy of computed 197 
