Global Sensitivity Analysis of a Water Quality Model in the Three Gorges Reservoir
Abstract
:1. Introduction
2. Study Area
3. Materials and Methods
3.1. Tributary Bay Water Quality Model
3.2. Global Sensitivity Analysis
3.3. Design of Numerical Experiments
3.4. Initial Conditions
4. Results
4.1. Simulation Result for the Water Quality Model
4.2. Parameter Sensitivity Temporal Variation for Chlorophyll-a
4.3. Parameter Sensitivity Temporal Variation for DO
5. Discussion
5.1. Ecological Implication from Parameter Sensitivity for Chlorophyll-a
5.2. Ecological Implication from Parameter Sensitivity for DO
6. Conclusions
Acknowledgments
Author Contributions
Conflicts of Interest
Appendix A
References
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Parameter | Description | Value | Unit | Selected to GSA (Y/N) |
---|---|---|---|---|
Maximum phytoplankton growth rate | 3.039 | day−1 | Y | |
Lower optimum temperature for algal growth | 24 | °C | Y | |
Upper optimum temperature for algal growth | 29 | °C | Y | |
Light extinction coefficient for all absorption components (except algae) | 1 | m−1 | Y | |
Factor for light extinction coefficient for algae | 0.01 | m−1 mmolC−1 | N | |
Optimum light intensity | 80.0 | W m−2 | Y | |
Nitrate half saturation constant for algae | 0.040 | mmolN m−3 | N | |
Ammonia half saturation constant for algae | 0.030 | mmolN m−3 | N | |
Phosphate half saturation constant for algae | 0.285 | mmolP m−3 | Y | |
Silica half saturation constant for algae | 1.16 | mmolSi m−3 | N | |
Phytoplankton linear mortality rate | 0.335 | day−1 | Y | |
Phytoplankton second order mortality rate | 0.001 | mmolC day−1 | Y | |
Phytoplankton excretion rate | 0.15 | day−1 | N | |
Phytoplankton basal respiration rate | 0.2 | day−1 | Y | |
Phytoplankton active respiration rate | 0.1 | day−1 | N | |
Oxygen critical concentration for nitrification | 11.161 | mmolO2 m−3 | Y | |
Oxygen confinement factor for nitrification | 6.0 | -- | N | |
Detritus remineralization rate | 0.127 | day−1 | Y | |
Temperature confinement factor for remineralization | 20.0 | -- | N | |
Reference temperature for remineralization | 13.0 | °C | N | |
Nitrification rate | 0.045 | day−1 | N | |
Denitrification rate | 0.01 | mmolN m−3 day−1 | N | |
Detritus half saturation constant | 6.625 | mmolC m−3 | N | |
Denitrification ratio of detritus | 1.25 | -- | N | |
Ammonia release ratio for denitrification | 0.189 | -- | N | |
Phosphate release ratio for denitrification | 0.012 | -- | N | |
Silica release ratio for denitrification | 0.259 | -- | N | |
Redfield ratio P:C | 1:106 | -- | N | |
Redfield ratio N:C | 16:106 | -- | N | |
Redfield ratio Si:C | 22:106 | -- | N | |
Stoichiometric number of carbon to oxygen | 1 | mmolO2 mmolC−1 | N | |
Stoichiometric number of nitrogen to oxygen | 2 | mmolO2 mmolN−1 | N |
Symbol | Description |
---|---|
N | Sample size |
k | Number of factors |
Xi | Generic factor |
X | N × k matrix of input factors |
N × (k − 1) matrix of all factors but Xi | |
, | Variance or mean of argument (·) taken over Xi |
, | Variance or mean of argument (·) taken over all factors but Xi |
Condition | Description |
---|---|
0.8 ≤ Sti ≤ 1 | Very important |
0.5 ≤ Sti < 0.8 | Important |
0.3 ≤ Sti < 0.5 | Unimportant |
0 ≤ Sti < 0.3 | Irrelevant |
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Cheng, Y.; Li, Y.; Ji, F.; Wang, Y. Global Sensitivity Analysis of a Water Quality Model in the Three Gorges Reservoir. Water 2018, 10, 153. https://doi.org/10.3390/w10020153
Cheng Y, Li Y, Ji F, Wang Y. Global Sensitivity Analysis of a Water Quality Model in the Three Gorges Reservoir. Water. 2018; 10(2):153. https://doi.org/10.3390/w10020153
Chicago/Turabian StyleCheng, Yao, Yajun Li, Fei Ji, and Yuchun Wang. 2018. "Global Sensitivity Analysis of a Water Quality Model in the Three Gorges Reservoir" Water 10, no. 2: 153. https://doi.org/10.3390/w10020153