Application of the Spline Interpolation in Simulating the Distribution of Phytoplankton in a Marine NPZD Type Ecosystem Model
Abstract
:1. Introduction
2. Materials and Methods
2.1. Marine Ecosystem Model
2.2. The Adjoint Model
2.3. Independent Points Scheme and Interpolation Methods
2.4. Data
3. Results
3.1. Idealized Twin Experiments
3.2. Practical Experiment
4. Discussion
5. Conclusions
Author Contributions
Funding
Acknowledgments
Conflicts of Interest
Appendix A. The NPZD Model
Appendix B. The Adjoint Model
References
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Parameter | Symbol | Value | Unit |
---|---|---|---|
Maximum growth rate of phytoplankton | Vm | 1.0 | day−1 |
Maximum grazing rate of zooplankton | Gm | 0.5 | day−1 |
Mortality rate of phytoplankton | Dp | 0.1 | day−1 |
Mortality rate of zooplankton | Dz | 0.2 | day−1 |
Remineralization rate of detritus | e | 0.05 | day−1 |
Temperature coefficient for phytoplankton growth at 10 °C | AQ10 | 2.08 | - |
Temperature coefficient for zooplankton growth at 10 °C | BQ10 | 3.10 | - |
Assimilation ratio of zooplankton | γ | 0.75 | - |
Excretion ratio of zooplankton | θ | 0.03 | - |
Attenuation coefficient of light | Kext | 1.0 | m−1 |
Optimum irradiance | Io | 100 | W m−2 |
Sinking velocity of phytoplankton | wp | 0.73 | m day−1 |
Sinking velocity of detritus | wd | 1.00 | m day−1 |
Half-saturation constant for nutrient uptake | Ks | 1.0 | mmol m−3 |
Ivlev constant of zooplankton | f | 0.2 | m3(mmol N)−1 |
Interpolation Method | NCF | MAE (mmol N m−3) | RMSE (mmol N m−3) | SC |
---|---|---|---|---|
SI | 8.3 × 10−3 | 0.050 | 0.190 | 0.84 |
CI | 9.0 × 10−2 | 0.178 | 0.295 | 0.77 |
Interpolation Method | NCF | MAE (mmol N m-3) | RMSE (mmol N m-3) | SC |
---|---|---|---|---|
SI | 7.8 × 10-3 | 0.034 | 0.096 | 0.88 |
CI | 8.9 × 10-2 | 0.120 | 0.183 | 0.78 |
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Li, X.; Zheng, Q.; Lv, X. Application of the Spline Interpolation in Simulating the Distribution of Phytoplankton in a Marine NPZD Type Ecosystem Model. Int. J. Environ. Res. Public Health 2019, 16, 2664. https://doi.org/10.3390/ijerph16152664
Li X, Zheng Q, Lv X. Application of the Spline Interpolation in Simulating the Distribution of Phytoplankton in a Marine NPZD Type Ecosystem Model. International Journal of Environmental Research and Public Health. 2019; 16(15):2664. https://doi.org/10.3390/ijerph16152664
Chicago/Turabian StyleLi, Xiaona, Quanxin Zheng, and Xianqing Lv. 2019. "Application of the Spline Interpolation in Simulating the Distribution of Phytoplankton in a Marine NPZD Type Ecosystem Model" International Journal of Environmental Research and Public Health 16, no. 15: 2664. https://doi.org/10.3390/ijerph16152664
APA StyleLi, X., Zheng, Q., & Lv, X. (2019). Application of the Spline Interpolation in Simulating the Distribution of Phytoplankton in a Marine NPZD Type Ecosystem Model. International Journal of Environmental Research and Public Health, 16(15), 2664. https://doi.org/10.3390/ijerph16152664