Analysis of the Uncertainty in Estimates of Manning’s Roughness Coefficient and Bed Slope Using GLUE and DREAM
<p>Meia Ponte River’s and study area.</p> "> Figure 2
<p>Representation of <span class="html-italic">n</span> along the cross-section.</p> "> Figure 3
<p>Scheme showing the cross-section area before (<b>a</b>) and after (<b>b</b>) the trapezoidal interpolation.</p> "> Figure 4
<p>Boxplot of absolute deviation, point the outlier results—GLUE.</p> "> Figure 5
<p>Boxplot of relative deviation (logarithmical scale)—GLUE.</p> "> Figure 6
<p>Interval of calculated and observed discharges—GLUE.</p> "> Figure 7
<p>Matrix of graphics relating <span class="html-italic">n</span><sub>1</sub>, <span class="html-italic">n</span><sub>2</sub>, <span class="html-italic">n</span><sub>3</sub>, and <span class="html-italic">S</span><sub>0</sub>—GLUE. The main diagonal shows the histogram of each parameter demonstrating the frequency with each value of <span class="html-italic">n</span><sub>1</sub>, <span class="html-italic">n</span><sub>2</sub>, <span class="html-italic">n</span><sub>3</sub>, and <span class="html-italic">S</span><sub>0</sub> in the distribution. Below the main diagonal, we see the scatter plots for each pair of parameters. The line is drawn to guide the eye.</p> "> Figure 8
<p>Annual discharge of 2016—GLUE.</p> "> Figure 9
<p>Relative deviation of 2007 to 2016—GLUE.</p> "> Figure 10
<p>Boxplot of absolute deviation—DREAM.</p> "> Figure 11
<p>Boxplot of relative deviation (logarithmical scale) and points on the outlier results—GLUE.</p> "> Figure 12
<p>Interval of calculated and observed discharges—DREAM.</p> "> Figure 13
<p>Matrix of graphics relating <span class="html-italic">n</span><sub>1</sub>, <span class="html-italic">n</span><sub>2</sub>, <span class="html-italic">n</span><sub>3</sub> and <span class="html-italic">S</span><sub>0</sub>—DREAM.</p> "> Figure 14
<p>Annual discharge of 2014—DREAM.</p> "> Figure 15
<p>Relative deviation trough 2007 to 2016—GLUE.</p> ">
Abstract
:1. Introduction
2. Materials and Methods
2.1. Calibration
2.1.1. GLUE
2.1.2. DREAM
2.2. Validation and Uncertainty Quantification
3. Results and Discussion
3.1. GLUE
3.2. DREAM
3.3. Discussion
4. Conclusions
Author Contributions
Funding
Conflicts of Interest
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Case 1: stage = h1 | ||
Case 2: stage = h1 + h2 | ||
Case 3: stage = h1 + h2 + h3 |
NS | Sets (eNS > 0.90) | Computing Time (s) |
---|---|---|
100 | 0 | 11 |
1000 | 2 | 89 |
10,000 | 38 | 917 |
100,000 | 1564 | 15340 |
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Reis, G.d.C.d.; Pereira, T.S.R.; Faria, G.S.; Formiga, K.T.M. Analysis of the Uncertainty in Estimates of Manning’s Roughness Coefficient and Bed Slope Using GLUE and DREAM. Water 2020, 12, 3270. https://doi.org/10.3390/w12113270
Reis GdCd, Pereira TSR, Faria GS, Formiga KTM. Analysis of the Uncertainty in Estimates of Manning’s Roughness Coefficient and Bed Slope Using GLUE and DREAM. Water. 2020; 12(11):3270. https://doi.org/10.3390/w12113270
Chicago/Turabian StyleReis, Guilherme da Cruz dos, Tatiane Souza Rodrigues Pereira, Geovanne Silva Faria, and Klebber Teodomiro Martins Formiga. 2020. "Analysis of the Uncertainty in Estimates of Manning’s Roughness Coefficient and Bed Slope Using GLUE and DREAM" Water 12, no. 11: 3270. https://doi.org/10.3390/w12113270