NN
−DAR
NN
−QPP
Q
NN
−SM
S1R
NN
−SM
S1L
NN
−SM
S12R
NN
−SM
S12L
NN
−SM
1
NN
−SM
12
MC−
DAR
MC−
QPPQ
MC−
SMS1
R
MC−
SMS1
L
MC−
SMS1
2R
MC−
SMS1
2L
MC−
SM1
MC−
SM12
PRM
S
NN
−AFI
NCH
MC−
AFIN
CH
−1.0
−0.5
0
0.5
1.0
Effic
ienc
y
Method of prediction in ungaged basins
Figure C1. The distribution of the at-site Nash-Sutcliffe efficiencies of daily streamflow predictions for
Nash-Sutcliffe Efficiencies of Daily Streamflow Predictions
each method of prediction in ungaged basins (PUB) is considered here. The horizontal axis indicates each PUB method. The Nash-Sutcliffe efficiency is along the vertical axis. Nash-Sutcliffe efficiency ranges from one to negative infinity; a value of one indicates a perfect fit, while a value of zero indicates that a mean value would have produced the same level of accuracy. (The dark line indicates the median of the distribution, the box outlines the 25th and 75th percentiles, and the whiskers extend to the data point a distance not more than 1.5 times the interquartile range away from the nearest quartile. Data points beyond this whisker length are defined as outliers and, to increase the visibility of the distribution, have not been drawn.) Method abbreviations are in table 1.
NN
−DAR
NN
−QPP
Q
NN
−SM
S1R
NN
−SM
S1L
NN
−SM
S12R
NN
−SM
S12L
NN
−SM
1
NN
−SM
12
MC−
DAR
MC−
QPPQ
MC−
SMS1
R
MC−
SMS1
L
MC−
SMS1
2R
MC−
SMS1
2L
MC−
SM1
MC−
SM12
PRM
S
NN
−AFI
NCH
MC−
AFIN
CH
−1.0
−0.5
0
0.5
1.0
Effic
ienc
y
Method of prediction in ungaged basins
Figure C2. The distribution of the at-site Nash-Sutcliffe efficiencies of the logarithms of daily streamflow
Nash-Sutcliffe Efficiencies of the Logarithms of Daily Streamflow Predictions
predictions for each method of prediction in ungaged basins (PUB) is considered here. The horizontal axis indicates each PUB method. The Nash-Sutcliffe efficiency of the logarithms is along the vertical axis. Nash-Sutcliffe efficiency ranges from one to negative infinity; a value of one indicates a perfect fit, while a value of zero indicates that a mean value would have produced the same level of accuracy. (The dark line indicates the median of the distribution, the box outlines the 25th and 75th percentiles, and the whiskers extend to the data point a distance not more than 1.5 times the interquartile range away from the nearest quartile. Data points beyond this whisker length are defined as outliers and, to increase the visibility of the distribution, have not been drawn.) Method abbreviations are in table 1.
NN
−DAR
NN
−QPP
Q
NN
−SM
S1R
NN
−SM
S1L
NN
−SM
S12R
NN
−SM
S12L
NN
−SM
1
NN
−SM
12
MC−
DAR
MC−
QPPQ
MC−
SMS1
R
MC−
SMS1
L
MC−
SMS1
2R
MC−
SMS1
2L
MC−
SM1
MC−
SM12
PRM
S
NN
−AFI
NCH
MC−
AFIN
CH
0
500
1,000
1,500
2,000
Root
-mea
n-sq
uare
err
or
Method of prediction in ungaged basins
Figure C3. The distribution of the at-site root-mean-square errors of daily streamflow predictions for each method of prediction in ungaged basins (PUB) is considered here. The horizontal axis indicates each PUB method. The vertical axis indicates the root-mean-square error in units of streamflow. Lower values represent less error, on average. (The dark line indicates the median of the distribution, the box outlines the 25th and 75th percentiles, and the whiskers extend to the data point a distance not more than 1.5 times the interquartile range away from the nearest quartile. Data points beyond this whisker length are defined as outliers and, to increase the visibility of the distribution, have not been drawn.) Method abbreviations are in table 1.
Root-Mean-Square Errors of Daily Streamflow Predictions
NN
−DAR
NN
−QPP
Q
NN
−SM
S1R
NN
−SM
S1L
NN
−SM
S12R
NN
−SM
S12L
NN
−SM
1
NN
−SM
12
MC−
DAR
MC−
QPPQ
MC−
SMS1
R
MC−
SMS1
L
MC−
SMS1
2R
MC−
SMS1
2L
MC−
SM1
MC−
SM12
PRM
S
NN
−AFI
NCH
MC−
AFIN
CH
0
4
2
6
8
10
Root
-mea
n-sq
uare
-nor
mal
ized
erro
r
Method of prediction in ungaged basins
Figure C4. The distribution of the at-site root-mean-square-normalized errors of daily streamflow predictions for each method of prediction in ungaged basins (PUB) is considered here. The horizontal axis indicates each PUB method. The vertical axis indicates the root-mean-square-normalized error. Lower values represent less error, on average. (The dark line indicates the median of the distribution, the box outlines the 25th and 75th percentiles, and the whiskers extend to the data point a distance not more than 1.5 times the interquartile range away from the nearest quartile. Data points beyond this whisker length are defined as outliers and, to increase the visibility of the distribution, have not been drawn.) Method abbreviations are in table 1.
Root-Mean-Square-Normalized Errors of Daily Streamflow Predictions
NN
−DAR
NN
−QPP
Q
NN
−SM
S1R
NN
−SM
S1L
NN
−SM
S12R
NN
−SM
S12L
NN
−SM
1
NN
−SM
12
MC−
DAR
MC−
QPPQ
MC−
SMS1
R
MC−
SMS1
L
MC−
SMS1
2R
MC−
SMS1
2L
MC−
SM1
MC−
SM12
PRM
S
NN
−AFI
NCH
MC−
AFIN
CH
0
–100
100
200
Aver
age
perc
ent e
rror
Method of prediction in ungaged basins
Figure C5. The distribution of at-site average percent errors of daily streamflow predictions for each method of prediction in ungaged basins (PUB) is considered here. The horizontal axis indicates each PUB method. The vertical axis shows the average percent bias. Unbiased methods display a median near zero and minimum variability of at-site bias. (The dark line indicates the median of the distribution, the box outlines the 25th and 75th percentiles, and the whiskers extend to the data point a distance not more than 1.5 times the interquartile range away from the nearest quartile. Data points beyond this whisker length are defined as outliers and, to increase the visibility of the distribution, have not been drawn.) Method abbreviations are in table 1.
Average Percent Errors of Daily Streamflow Predictions
NN
−DAR
NN
−QPP
Q
NN
−SM
S1R
NN
−SM
S1L
NN
−SM
S12R
NN
−SM
S12L
NN
−SM
1
NN
−SM
12
MC−
DAR
MC−
QPPQ
MC−
SMS1
R
MC−
SMS1
L
MC−
SMS1
2R
MC−
SMS1
2L
MC−
SM1
MC−
SM12
PRM
S
NN
−AFI
NCH
MC−
AFIN
CH
0
0.4
0.2
0.6
0.8
1.0
Pear
son
corr
elat
ion
Method of prediction in ungaged basins
Figure C6. The distribution of at-site Pearson correlations between simulated and observed daily streamflows for each method of prediction in ungaged basins (PUB) is considered here. The horizontal axis indicates each PUB method. The vertical axis shows the Pearson correlation, which ranges from negative to positive one. A perfect correspondence would exhibit a Pearson correlation of one. (The dark line indicates the median of the distribution, the box outlines the 25th and 75th percentiles, and the whiskers extend to the data point a distance not more than 1.5 times the interquartile range away from the nearest quartile. Data points beyond this whisker length are defined as outliers and, to increase the visibility of the distribution, have not been drawn.) Method abbreviations are in table 1.
Pearson Correlations Between Simulated and Observed Daily Streamflows
NN
−DAR
NN
−QPP
Q
NN
−SM
S1R
NN
−SM
S1L
NN
−SM
S12R
NN
−SM
S12L
NN
−SM
1
NN
−SM
12
MC−
DAR
MC−
QPPQ
MC−
SMS1
R
MC−
SMS1
L
MC−
SMS1
2R
MC−
SMS1
2L
MC−
SM1
MC−
SM12
PRM
S
NN
−AFI
NCH
MC−
AFIN
CH
0.3
0.6
0.5
0.4
0.8
0.7
0.9
1.0
Spea
rman
cor
rela
tion
Method of prediction in ungaged basins
Figure C7. The distribution of at-site Spearman correlations between simulated and observed daily streamflows for each method of prediction in ungaged basins (PUB) is considered here. The horizontal axis indicates each PUB method. The vertical axis shows the Spearman correlation, which ranges fromnegative to positive one. A perfect correspondence between ranked streamflow would exhibit a Spearman correlation of one. (The dark line indicates the median of the distribution, the box outlines the 25th and 75th percentiles, and the whiskers extend to the data point a distance not more than 1.5 times the interquartile range away from the nearest quartile. Data points beyond this whisker length are defined as outliers and, to increase the visibility of the distribution, have not been drawn.) Method abbreviations are in table 1.
Spearman Correlations Between Simulated and Observed Daily Streamflows
NN
−DAR
NN
−QPP
Q
NN
−SM
S1R
NN
−SM
S1L
NN
−SM
S12R
NN
−SM
S12L
NN
−SM
1
NN
−SM
12
MC−
DAR
MC−
QPPQ
MC−
SMS1
R
MC−
SMS1
L
MC−
SMS1
2R
MC−
SMS1
2L
MC−
SM1
MC−
SM12
PRM
S
NN
−AFI
NCH
MC−
AFIN
CH
0
0.6
0.4
0.2
0.8
1.0
Effic
ienc
y
Method of prediction in ungaged basins
Figure C8. The distribution of the at-site Nash-Sutcliffe efficiencies of the daily storage-yield curve (SYC) for each method of prediction in ungaged basins (PUB) is considered here. See text for a description of the methodology used to predict the SYC. The horizontal axis indicates each PUB method. The Nash-Sutcliffe efficiency is along the vertical axis. Nash-Sutcliffe efficiency ranges from one to negative infinity; a value of one indicates a perfect fit, while a value of zero indicates that a mean value would have produced the same level of accuracy. (The dark line indicates the median of the distribution, the box outlines the 25th and 75th percentiles, and the whiskers extend to the data point a distance not more than 1.5 times the interquartile range away from the nearest quartile. Data points beyond this whisker length are defined as outliers and, to increase the visibility of the distribu-tion, have not been drawn.) Method abbreviations are in table 1.
Nash-Sutcliffe Efficiencies of the Daily Storage-Yield Curve
NN
−DAR
NN
−QPP
Q
NN
−SM
S1R
NN
−SM
S1L
NN
−SM
S12R
NN
−SM
S12L
NN
−SM
1
NN
−SM
12
MC−
DAR
MC−
QPPQ
MC−
SMS1
R
MC−
SMS1
L
MC−
SMS1
2R
MC−
SMS1
2L
MC−
SM1
MC−
SM12
PRM
S
NN
−AFI
NCH
MC−
AFIN
CH
–1.0
0
–0.5
0.5
1.0
Effic
ienc
y
Method of prediction in ungaged basins
Figure C9. The distribution of the at-site Nash-Sutcliffe efficiencies of the logarithms of the daily storage-yield curve (SYC) for each method of prediction in ungaged basins (PUB) is considered here. See text for a description of the methodology used to predict the SYC. The horizontal axis indicates each PUB method. The Nash-Sutcliffe efficiency of the logarithms is along the vertical axis. Nash-Sutcliffe efficiency ranges from one to negative infinity; a value of one indicates a perfect fit, while a value of zero indicates that a mean value would have produced the same level of accuracy. (The dark line indicates the median of the distribution, the box outlines the 25th and 75th percentiles, and the whiskers extend to the data point a distance not more than 1.5 times the interquartile range away from the nearest quartile. Data points beyond this whisker length are defined as outliers and, to increase the visibility of the distribution, have not been drawn.) Method abbreviations are in table 1.
Nash-Sutcliffe Efficiencies of the Logarithms of Daily Storage-Yield Curve
NN
−DAR
NN
−QPP
Q
NN
−SM
S1R
NN
−SM
S1L
NN
−SM
S12R
NN
−SM
S12L
NN
−SM
1
NN
−SM
12
MC−
DAR
MC−
QPPQ
MC−
SMS1
R
MC−
SMS1
L
MC−
SMS1
2R
MC−
SMS1
2L
MC−
SM1
MC−
SM12
PRM
S
NN
−AFI
NCH
MC−
AFIN
CH
0
150
200
50
100
250
300
Root
-mea
n-sq
uare
d er
ror
Method of prediction in ungaged basins
Figure C10. The distribution of the at-site root-mean-square errors of the daily storage-yield curve for each method of prediction in ungaged basins (PUB) is considered here. The horizontal axis indicates each PUB method. The vertical axis indicates the root-mean-square error in units of storage fraction (time, storage volume divided by mean streamflow). Lower values represent less error, on average. (The dark line indicates the median of the distribution, the box outlines the 25th and 75th percentiles, and the whiskers extend to the data point a distance not more than 1.5 times the interquartile range away from the nearest quartile. Data points beyond this whisker length are defined as outliers and, to increase the visibility of the distribution, have not been drawn.) Method abbreviations are in table 1.
Root-Mean-Squared Errors of the Daily Storage-Yield Curve
NN
−DAR
NN
−QPP
Q
NN
−SM
S1R
NN
−SM
S1L
NN
−SM
S12R
NN
−SM
S12L
NN
−SM
1
NN
−SM
12
MC−
DAR
MC−
QPPQ
MC−
SMS1
R
MC−
SMS1
L
MC−
SMS1
2R
MC−
SMS1
2L
MC−
SM1
MC−
SM12
PRM
S
NN
−AFI
NCH
MC−
AFIN
CH
0
6
2
4
8
10
Root
-mea
n-sq
uare
-nor
mal
ized
erro
r
Method of prediction in ungaged basins
Figure C11. The distribution of the at-site root-mean-square-normalized errors of the daily storage-yield curve for each method of prediction in ungaged basins (PUB) is considered here. The horizontal axis indicates each PUB method. The vertical axis indicates the root-mean-square-normalized error. Lower values represent less error, on average. (The dark line indicates the median of the distribution, the box outlines the 25th and 75th percentiles, and the whiskers extend to the data point a distance not more than 1.5 times the interquartile range away from the nearest quartile. Data points beyond this whisker length are defined as outliers and, to increase the visibility of the distribution, have not been drawn.) Method abbreviations are in table 1.
Root-Mean-Square-Normalized Errors of the Daily Storage-Yield Curve
NN
−DAR
NN
−QPP
Q
NN
−SM
S1R
NN
−SM
S1L
NN
−SM
S12R
NN
−SM
S12L
NN
−SM
1
NN
−SM
12
MC−
DAR
MC−
QPPQ
MC−
SMS1
R
MC−
SMS1
L
MC−
SMS1
2R
MC−
SMS1
2L
MC−
SM1
MC−
SM12
PRM
S
NN
−AFI
NCH
MC−
AFIN
CH
–100
100
0
200
300
Aver
age
perc
ent e
rror
Method of prediction in ungaged basins
Figure C12. The distribution of at-site average percent errors of the daily storage-yield curve for each method of prediction in ungaged basins (PUB) is considered here. The horizontal axis indicates each PUB method. The vertical axis shows the average percent bias. Unbiased methods display a median near zero and minimum variability of at-site bias. (The dark line indicates the median of the distribution, the box outlines the 25th and 75th percentiles, and the whiskers extend to the data point a distance not more than 1.5 times the interquartile range away from the nearest quartile. Data points beyond this whisker length are defined as outliers and, to increase the visibility of the distribution, have not been drawn.) Method abbreviations are in table 1.
Average Percent Errors of the Daily Storage-Yield Curve
NN
−DAR
NN
−QPP
Q
NN
−SM
S1R
NN
−SM
S1L
NN
−SM
S12R
NN
−SM
S12L
NN
−SM
1
NN
−SM
12
MC−
DAR
MC−
QPPQ
MC−
SMS1
R
MC−
SMS1
L
MC−
SMS1
2R
MC−
SMS1
2L
MC−
SM1
MC−
SM12
PRM
S
NN
−AFI
NCH
MC−
AFIN
CH
0.95
0.98
0.96
0.97
0.99
1.00
Pear
son
corr
elat
ion
Method of prediction in ungaged basins
Figure C13. The distribution of at-site Pearson correlations between the simulated and observed daily storage-yield curves for each method of prediction in ungaged basins (PUB) is considered here. The horizontal axis indicates each PUB method. The vertical axis shows the Pearson correlation, which ranges from negative to positive one. A perfect correspondence would exhibit a Pearson correlation of one. (The dark line indicates the median of the distribution, the box outlines the 25th and 75th percen-tiles, and the whiskers extend to the data point a distance not more than 1.5 times the interquartile range away from the nearest quartile. Data points beyond this whisker length are defined as outliers and, to increase the visibility of the distribution, have not been drawn.) Method abbreviations are in table 1.
Pearson Correlations Between the Simulated and Observed Daily Storage-Yield Curves
NN
−DAR
NN
−QPP
Q
NN
−SM
S1R
NN
−SM
S1L
NN
−SM
S12R
NN
−SM
S12L
NN
−SM
1
NN
−SM
12
MC−
DAR
MC−
QPPQ
MC−
SMS1
R
MC−
SMS1
L
MC−
SMS1
2R
MC−
SMS1
2L
MC−
SM1
MC−
SM12
PRM
S
NN
−AFI
NCH
MC−
AFIN
CH
0.990
0.996
0.992
0994
0.998
1.000
Spea
rman
cor
rela
tion
Method of prediction in ungaged basins
Figure C14. The distribution of at-site Spearman correlations between the simulated and observed daily storage-yield curves for each method of prediction in ungaged basins (PUB) is considered here. The horizontal axis indicates each PUB method. The vertical axis shows the Spearman correlation, which ranges from negative to positive one. A perfect correspondence between ranked values would exhibit a Spearman correlation of one. (The dark line indicates the median of the distribution, the box outlines the 25th and 75th percentiles, and the whiskers extend to the data point a distance not more than 1.5 times the interquartile range away from the nearest quartile. Data points beyond this whisker length are defined as outliers and, to increase the visibility of the distribution, have not been drawn.) Method abbreviations are in table 1.
Spearman Correlations Between the Simulated and Observed Daily Storage-Yield Curves
NN
−DAR
NN
−QPP
Q
NN
−SM
S1R
NN
−SM
S1L
NN
−SM
S12R
NN
−SM
S12L
NN
−SM
1
NN
−SM
12
MC−
DAR
MC−
QPPQ
MC−
SMS1
R
MC−
SMS1
L
MC−
SMS1
2R
MC−
SMS1
2L
MC−
SM1
MC−
SM12
PRM
S
NN
−AFI
NCH
MC−
AFIN
CH
–100
–50
0
50
100
Perc
ent e
rror
Method of prediction in ungaged basins
Figure C15. The distribution of at-site percent errors in the estimated coefficient of variation of annual streamflows for each method of prediction in ungaged basins (PUB) is considered here. The horizontal axis indicates each PUB method. The vertical axis shows the percent error. Unbiased methods display a median near zero and minimum variability of at-site bias. (The dark line indicates the median of the distribution, the box outlines the 25th and 75th percentiles, and the whiskers extend to the data point a distance not more than 1.5 times the interquartile range away from the nearest quartile. Data points beyond this whisker length are defined as outliers and, to increase the visibility of the distribution, have not been drawn.) Method abbreviations are in table 1.
Percent Errors in the Estimated Coefficient of Variation of Annual Streamflows
NN
−DAR
NN
−QPP
Q
NN
−SM
S1R
NN
−SM
S1L
NN
−SM
S12R
NN
−SM
S12L
NN
−SM
1
NN
−SM
12
MC−
DAR
MC−
QPPQ
MC−
SMS1
R
MC−
SMS1
L
MC−
SMS1
2R
MC−
SMS1
2L
MC−
SM1
MC−
SM12
PRM
S
NN
−AFI
NCH
MC−
AFIN
CH
–100
–50
0
50
100
Perc
ent e
rror
Method of prediction in ungaged basins
Figure C16. The distribution of at-site percent errors in the estimated coefficient of variation of daily streamflows for each method of prediction in ungaged basins (PUB) is considered here. The horizontal axis indicates each PUB method. The vertical axis shows the percent error. Unbiased methods display a median near zero and minimum variability of at-site bias. (The dark line indicates the median of the distribution, the box outlines the 25th and 75th percentiles, and the whiskers extend to the data point a distance not more than 1.5 times the interquartile range away from the nearest quartile. Data points beyond this whisker length are defined as outliers and, to increase the visibility of the distribution, have not been drawn.) Method abbreviations are in table 1.
Percent Errors in the Estimated Coefficient of Variation of Daily Streamflows
NN
−DAR
NN
−QPP
Q
NN
−SM
S1R
NN
−SM
S1L
NN
−SM
S12R
NN
−SM
S12L
NN
−SM
1
NN
−SM
12
MC−
DAR
MC−
QPPQ
MC−
SMS1
R
MC−
SMS1
L
MC−
SMS1
2R
MC−
SMS1
2L
MC−
SM1
MC−
SM12
PRM
S
NN
−AFI
NCH
MC−
AFIN
CH
–200
–100
0
100
200
Perc
ent e
rror
Method of prediction in ungaged basins
Figure C17. The distribution of at-site percent errors in the estimated 10th percentile of the distribution of 7-day average annual-minimum events for each method of prediction in ungaged basins (PUB) is considered here. This event is related to the 10-year, 7-day average annual event. The horizontal axis indicates each PUB method. The vertical axis shows the percent error. Unbiased methods display a median near zero and minimum variability of at-site bias. (The dark line indicates the median of the distribution, the box outlines the 25th and 75th percentiles, and the whiskers extend to the data point a distance not more than 1.5 times the interquartile range away from the nearest quartile. Data points beyond this whisker length are defined as outliers and, to increase the visibility of the distribution, have not been drawn.) Method abbreviations are in table 1.
Percent Errors in the Estimated 10th Percentile of the 7-Day Average Annual-Minimum Events
NN
−DAR
NN
−QPP
Q
NN
−SM
S1R
NN
−SM
S1L
NN
−SM
S12R
NN
−SM
S12L
NN
−SM
1
NN
−SM
12
MC−
DAR
MC−
QPPQ
MC−
SMS1
R
MC−
SMS1
L
MC−
SMS1
2R
MC−
SMS1
2L
MC−
SM1
MC−
SM12
PRM
S
NN
−AFI
NCH
MC−
AFIN
CH
–200
–100
0
100
200
Perc
ent e
rror
Method of prediction in ungaged basins
Figure C18. The distribution of at-site percent errors in the estimated 50th percentile of the distribution of 7-day average annual-minimum events for each method of prediction in ungaged basins (PUB) is considered here. This event is related to the 2-year, 7-day annual-minimum event. The horizontal axis indicates each PUB method. The vertical axis shows the percent error. Unbiased methods display a median near zero and minimum variability of at-site bias. (The dark line indicates the median of the distribution, the box outlines the 25th and 75th percentiles, and the whiskers extend to the data point a distance not more than 1.5 times the interquartile range away from the nearest quartile. Data points beyond this whisker length are defined as outliers and, to increase the visibility of the distribution, have not been drawn.) Method abbreviations are in table 1.
Percent Errors in the Estimated 50th Percentile of the 7-Day Average Annual-Minimum Events
NN
−DAR
NN
−QPP
Q
NN
−SM
S1R
NN
−SM
S1L
NN
−SM
S12R
NN
−SM
S12L
NN
−SM
1
NN
−SM
12
MC−
DAR
MC−
QPPQ
MC−
SMS1
R
MC−
SMS1
L
MC−
SMS1
2R
MC−
SMS1
2L
MC−
SM1
MC−
SM12
PRM
S
NN
−AFI
NCH
MC−
AFIN
CH
–200
–100
0
100
200
Perc
ent e
rror
Method of prediction in ungaged basins
Figure C19. The distribution of at-site percent errors in the estimated 90th percentile of the distribution of annual-maximum events for each method of prediction in ungaged basins (PUB) is considered here. This event is related to the 10-year annual-maximum event. The horizontal axis indicates each PUB method. The vertical axis shows the percent error. Unbiased methods display a median near zero and minimum variability of at-site bias. (The dark line indicates the median of the distribution, the box outlines the 25th and 75th percentiles, and the whiskers extend to the data point a distance not more than 1.5 times the interquartile range away from the nearest quartile. Data points beyond this whisker length are defined as outliers and, to increase the visibility of the distribution, have not been drawn.) Method abbreviations are in table 1.
Percent Errors in the Estimated 90th Percentile of the Annual-Maximum Events
NN
−DAR
NN
−QPP
Q
NN
−SM
S1R
NN
−SM
S1L
NN
−SM
S12R
NN
−SM
S12L
NN
−SM
1
NN
−SM
12
MC−
DAR
MC−
QPPQ
MC−
SMS1
R
MC−
SMS1
L
MC−
SMS1
2R
MC−
SMS1
2L
MC−
SM1
MC−
SM12
PRM
S
NN
−AFI
NCH
MC−
AFIN
CH
–200
–100
0
100
200
Perc
ent e
rror
Method of prediction in ungaged basins
Figure C20. The distribution of at-site percent errors in the estimated 90-percent-exceedance streamflow for each method of prediction in ungaged basins (PUB) is considered here. The horizontal axis indicates each PUB method. The vertical axis shows the percent error. Unbiased methods display a median near zero and minimum variability of at-site bias. (The dark line indicates the median of the distribution, the box outlines the 25th and 75th percentiles, and the whiskers extend to the data point a distance not more than 1.5 times the interquartile range away from the nearest quartile. Data points beyond this whisker length are defined as outliers and, to increase the visibility of the distribution, have not been drawn.) Method abbrevi-ations are in table 1.
Percent Errors in the Estimated 90-Percent-Exceedance Streamflow
NN
−DAR
NN
−QPP
Q
NN
−SM
S1R
NN
−SM
S1L
NN
−SM
S12R
NN
−SM
S12L
NN
−SM
1
NN
−SM
12
MC−
DAR
MC−
QPPQ
MC−
SMS1
R
MC−
SMS1
L
MC−
SMS1
2R
MC−
SMS1
2L
MC−
SM1
MC−
SM12
PRM
S
NN
−AFI
NCH
MC−
AFIN
CH
–200
–100
0
100
200
Perc
ent e
rror
Method of prediction in ungaged basins
Figure C21. The distribution of at-site percent errors in the estimated 75-percent-exceedance streamflow for each method of prediction in ungaged basins (PUB) is considered here. The horizontal axis indicates each PUB method. The vertical axis shows the percent error. Unbiased methods display a median near zero and minimum variability of at-site bias. (The dark line indicates the median of the distribution, the box outlines the 25th and 75th percentiles, and the whiskers extend to the data point a distance not more than 1.5 times the interquartile range away from the nearest quartile. Data points beyond this whisker length are defined as outliers and, to increase the visibility of the distribution, have not been drawn.) Method abbreviations are in table 1.
Percent Errors in the Estimated 75-Percent-Exceedance Streamflow
NN
−DAR
NN
−QPP
Q
NN
−SM
S1R
NN
−SM
S1L
NN
−SM
S12R
NN
−SM
S12L
NN
−SM
1
NN
−SM
12
MC−
DAR
MC−
QPPQ
MC−
SMS1
R
MC−
SMS1
L
MC−
SMS1
2R
MC−
SMS1
2L
MC−
SM1
MC−
SM12
PRM
S
NN
−AFI
NCH
MC−
AFIN
CH
–150
–50
–100
0
100
50
150
Perc
ent e
rror
Method of prediction in ungaged basins
Figure C22. The distribution of at-site percent errors in the estimated 50-percent-exceedance streamflow for each method of prediction in ungaged basins (PUB) is considered here. The horizontal axis indicates each PUB method. The vertical axis shows the percent error. Unbiased methods display a median near zero and minimum variability of at-site bias. (The dark line indicates the median of the distribution, the box outlines the 25th and 75th percentiles, and the whiskers extend to the data point a distance not more than 1.5 times the interquartile range away from the nearest quartile. Data points beyond this whisker length are defined as outliers and, to increase the visibility of the distribution, have not been drawn.) Method abbreviations are in table 1.
Percent Errors in the Estimated 50-Percent-Exceedance Streamflow
NN
−DAR
NN
−QPP
Q
NN
−SM
S1R
NN
−SM
S1L
NN
−SM
S12R
NN
−SM
S12L
NN
−SM
1
NN
−SM
12
MC−
DAR
MC−
QPPQ
MC−
SMS1
R
MC−
SMS1
L
MC−
SMS1
2R
MC−
SMS1
2L
MC−
SM1
MC−
SM12
PRM
S
NN
−AFI
NCH
MC−
AFIN
CH
–100
–50
0
50
100
Perc
ent e
rror
Method of prediction in ungaged basins
Figure C23. The distribution of at-site percent errors in the estimated 25-percent-exceedance streamflow for each method of prediction in ungaged basins (PUB) is considered here. The horizontal axis indicates each PUB method. The vertical axis shows the percent error. Unbiased methods display a median near zero and minimum variability of at-site bias. (The dark line indicates the median of the distribution, the box outlines the 25th and 75th percentiles, and the whiskers extend to the data point a distance not more than 1.5 times the interquartile range away from the nearest quartile. Data points beyond this whisker length are defined as outliers and, to increase the visibility of the distribution, have not been drawn.) Method abbreviations are in table 1.
Percent Errors in the Estimated 25-Percent-Exceedance Streamflow
NN
−DAR
NN
−QPP
Q
NN
−SM
S1R
NN
−SM
S1L
NN
−SM
S12R
NN
−SM
S12L
NN
−SM
1
NN
−SM
12
MC−
DAR
MC−
QPPQ
MC−
SMS1
R
MC−
SMS1
L
MC−
SMS1
2R
MC−
SMS1
2L
MC−
SM1
MC−
SM12
PRM
S
NN
−AFI
NCH
MC−
AFIN
CH
–100
–50
0
50
100
Perc
ent e
rror
Method of prediction in ungaged basins
Figure C24. The distribution of at-site percent errors in the estimated 10-percent-exceedance streamflow for each method of prediction in ungaged basins (PUB) is considered here. The horizontal axis indicates each PUB method. The vertical axis shows the percent error. Unbiased methods display a median near zero and minimum variability of at-site bias. (The dark line indicates the median of the distribution, the box outlines the 25th and 75th percentiles, and the whiskers extend to the data point a distance not more than 1.5 times the interquartile range away from the nearest quartile. Data points beyond this whisker length are defined as outliers and, to increase the visibility of the distribution, have not been drawn.) Method abbreviations are in table 1.
Percent Errors in the 10-Percent-Exceedance Streamflow
NN
−DAR
NN
−QPP
Q
NN
−SM
S1R
NN
−SM
S1L
NN
−SM
S12R
NN
−SM
S12L
NN
−SM
1
NN
−SM
12
MC−
DAR
MC−
QPPQ
MC−
SMS1
R
MC−
SMS1
L
MC−
SMS1
2R
MC−
SMS1
2L
MC−
SM1
MC−
SM12
PRM
S
NN
−AFI
NCH
MC−
AFIN
CH
–100
–50
0
50
100
Perc
ent e
rror
Method of prediction in ungaged basins
Figure C25. The distribution of at-site percent errors in the estimated mean daily streamflow for each method of prediction in ungaged basins (PUB) is considered here. The horizontal axis indicates each PUB method. The vertical axis shows the percent error. Unbiased methods display a median near zero and minimum variability of at-site bias. (The dark line indicates the median of the distribution, the box outlines the 25th and 75th percentiles, and the whiskers extend to the data point a distance not more than 1.5 times the interquartile range away from the nearest quartile. Data points beyond this whisker length are defined as outliers and, to increase the visibility of the distribution, have not been drawn.) Method abbreviations are in table 1.
Percent Errors in the Estimated Mean Daily Streamflow
NN
−DAR
NN
−QPP
Q
NN
−SM
S1R
NN
−SM
S1L
NN
−SM
S12R
NN
−SM
S12L
NN
−SM
1
NN
−SM
12
MC−
DAR
MC−
QPPQ
MC−
SMS1
R
MC−
SMS1
L
MC−
SMS1
2R
MC−
SMS1
2L
MC−
SM1
MC−
SM12
PRM
S
NN
−AFI
NCH
MC−
AFIN
CH
–100
–50
0
50
100
Perc
ent e
rror
Method of prediction in ungaged basins
Figure C26. The distribution of at-site percent errors in the estimated coefficient of variation (L-CV) of daily streamflow for each method of prediction in ungaged basins (PUB) is considered here. The horizontal axis indicates each PUB method. The vertical axis shows the percent error. Unbiased methods display a median near zero and minimum variability of at-site bias. (The dark line indicates the median of the distribution, the box outlines the 25th and 75th percentiles, and the whiskers extend to the data point a distance not more than 1.5 times the interquartile range away from the nearest quartile. Data points beyond this whisker length are defined as outliers and, to increase the visibility of the distribution, have not been drawn.) Method abbreviations are in table 1.
Percent Errors in the Estimated Coefficient of Variation (L-CV) of Daily Streamflow
NN
−DAR
NN
−QPP
Q
NN
−SM
S1R
NN
−SM
S1L
NN
−SM
S12R
NN
−SM
S12L
NN
−SM
1
NN
−SM
12
MC−
DAR
MC−
QPPQ
MC−
SMS1
R
MC−
SMS1
L
MC−
SMS1
2R
MC−
SMS1
2L
MC−
SM1
MC−
SM12
PRM
S
NN
−AFI
NCH
MC−
AFIN
CH
–50
0
50
Perc
ent e
rror
Method of prediction in ungaged basins
Figure C27. The distribution of at-site percent errors in the estimated skewness (L-skew) of daily streamflows for each method of prediction in ungaged basins (PUB) is considered here. The horizontal axis indicates each PUB method. The vertical axis shows the percent error. Unbiased methods display a median near zero and minimum variability of at-site bias. (The dark line indicates the median of the distribution, the box outlines the 25th and 75th percentiles, and the whiskers extend to the data point a distance not more than 1.5 times the interquartile range away from the nearest quartile. Data points beyond this whisker length are defined as outliers and, to increase the visibility of the distribution, have not been drawn.) Method abbreviations are in table 1.
Percent Errors in the Estimated Skewness (L-Skew) of Daily Streamflows
NN
−DAR
NN
−QPP
Q
NN
−SM
S1R
NN
−SM
S1L
NN
−SM
S12R
NN
−SM
S12L
NN
−SM
1
NN
−SM
12
MC−
DAR
MC−
QPPQ
MC−
SMS1
R
MC−
SMS1
L
MC−
SMS1
2R
MC−
SMS1
2L
MC−
SM1
MC−
SM12
PRM
S
NN
−AFI
NCH
MC−
AFIN
CH
–50
0
50
Perc
ent e
rror
Method of prediction in ungaged basins
Figure C28. The distribution of at-site percent errors in the estimated kurtosis (L-kurtosis) of daily streamflows for each method of prediction in ungaged basins (PUB) is considered here. The horizontal axis indicates each PUB method. The vertical axis shows the percent error. Unbiased methods display a median near zero and minimum variability of at-site bias. (The dark line indicates the median of the distribution, the box outlines the 25th and 75th percentiles, and the whiskers extend to the data point a distance not more than 1.5 times the interquartile range away from the nearest quartile. Data points beyond this whisker length are defined as outliers and, to increase the visibility of the distribution, have not been drawn.) Method abbreviations are in table 1.
Percent Errors in the Estimated Kurtosis (L-kurtosis) of Daily Streamflows
NN
−DAR
NN
−QPP
Q
NN
−SM
S1R
NN
−SM
S1L
NN
−SM
S12R
NN
−SM
S12L
NN
−SM
1
NN
−SM
12
MC−
DAR
MC−
QPPQ
MC−
SMS1
R
MC−
SMS1
L
MC−
SMS1
2R
MC−
SMS1
2L
MC−
SM1
MC−
SM12
PRM
S
NN
−AFI
NCH
MC−
AFIN
CH
–100
–50
0
50
100
Perc
ent e
rror
Method of prediction in ungaged basins
Figure C29. The distribution of at-site percent errors in the estimated lag-1 autocorrelation of daily streamflows for each method of prediction in ungaged basins (PUB) is considered here. The horizontal axis indicates each PUB method. The vertical axis shows the percent error. Unbiased methods display a median near zero and minimum variability of at-site bias. (The dark line indicates the median of the distribution, the box outlines the 25th and 75th percentiles, and the whiskers extend to the data point a distance not more than 1.5 times the interquartile range away from the nearest quartile. Data points beyond this whisker length are defined as outliers and, to increase the visibility of the distribution, have not been drawn.) Method abbreviations are in table 1.
Percent Errors in the Estimated Lag-1 Autocorrelation of Daily Streamflows
NN
−DAR
NN
−QPP
Q
NN
−SM
S1R
NN
−SM
S1L
NN
−SM
S12R
NN
−SM
S12L
NN
−SM
1
NN
−SM
12
MC−
DAR
MC−
QPPQ
MC−
SMS1
R
MC−
SMS1
L
MC−
SMS1
2R
MC−
SMS1
2L
MC−
SM1
MC−
SM12
PRM
S
NN
−AFI
NCH
MC−
AFIN
CH
–100
–50
0
50
100
Perc
ent e
rror
Method of prediction in ungaged basins
Figure C30. The distribution of at-site percent errors in the estimated amplitude of the sinusoidal seasonal trend of daily streamflows for each method of prediction in ungaged basins (PUB) is considered here. The horizontal axis indicates each PUB method. The vertical axis shows the percent error. Unbiased methods display a median near zero and minimum variability of at-site bias. (The dark line indicates the median of the distribution, the box outlines the 25th and 75th percentiles, and the whiskers extend to the data point a distance not more than 1.5 times the interquartile range away from the nearest quartile. Data points beyond this whisker length are defined as outliers and, to increase the visibility of the distribution, have not been drawn.) Method abbreviations are in table 1.
Percent Errors in the Estimated Amplitude of the Seasonality of Daily Streamflows
NN
−DAR
NN
−QPP
Q
NN
−SM
S1R
NN
−SM
S1L
NN
−SM
S12R
NN
−SM
S12L
NN
−SM
1
NN
−SM
12
MC−
DAR
MC−
QPPQ
MC−
SMS1
R
MC−
SMS1
L
MC−
SMS1
2R
MC−
SMS1
2L
MC−
SM1
MC−
SM12
PRM
S
NN
−AFI
NCH
MC−
AFIN
CH
–40
–20
0
20
40
Perc
ent e
rror
Method of prediction in ungaged basins
Figure C31. The distribution of at-site percent errors in the estimated phase of the sinusoidal seasonal trend of daily streamflows for each method of prediction in ungaged basins (PUB) is considered here. The horizontal axis indicates each PUB method. The vertical axis shows the percent error. Unbiased methods display a median near zero and minimum variability of at-site bias. (The dark line indicates the median of the distribution, the box outlines the 25th and 75th percentiles, and the whiskers extend to the data point a distance not more than 1.5 times the interquartile range away from the nearest quartile. Data points beyond this whisker length are defined as outliers and, to increase the visibility of the distribution, have not been drawn.) Method abbreviations are in table 1.
Percent Errors in the Estimated Phase of the Seasonality of Daily Streamflows
NN
−DAR
NN
−QPP
Q
NN
−SM
S1R
NN
−SM
S1L
NN
−SM
S12R
NN
−SM
S12L
NN
−SM
1
NN
−SM
12
MC−
DAR
MC−
QPPQ
MC−
SMS1
R
MC−
SMS1
L
MC−
SMS1
2R
MC−
SMS1
2L
MC−
SM1
MC−
SM12
PRM
S
NN
−AFI
NCH
MC−
AFIN
CH
0
0.2
0.4
0.6
0.8
1.0
Root
-mea
n-sq
uare
-nor
mal
ized
erro
r
Method of prediction in ungaged basins
Figure C32. The distribution of the at-site root-mean-square-normalized errors of estimated Fundamental Daily Streamflow Statistics (FDSS) for each method of prediction in ungaged basins (PUB) is considered here. The horizontal axis indicates each PUB method. The vertical axis indicates theroot-mean-square-normalized error. Lower values represent less error, on average. (The dark line indicates the median of the distribution, the box outlines the 25th and 75th percentiles, and the whiskers extend to the data point a distance not more than 1.5 times the interquartile range away from the nearest quartile. Data points beyond this whisker length are defined as outliers and, to increase the visibility of the distribution, have not been drawn.) Method abbreviations are in table 1.
Root-Mean-Square-Normalized Errors of Estimated Fundamental Daily Streamflow Statistics
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