Forecasting the Dynamics of Summer Phytoplankton Species based on Satellite Data Assimilation Methods
https://doi.org/10.23947/2587-8999-2024-8-4-27-34
Abstract
Introduction. Mathematical tools integrated with satellite data are typically employed as the primary means for studying aquatic ecosystems and forecasting changes in phytoplankton concentration in shallow water bodies during summer. This approach facilitates accurate monitoring, analysis, and modeling of the spatiotemporal dynamics of biogeochemical processes, considering the combined effects of various physicochemical, biological, and anthropogenic factors impacting the aquatic ecosystem. The authors have developed a mathematical model aligned with satellite data to predict the behavior of summer phytoplankton species in shallow water under accelerated temporal conditions. The model describes oxidative[1]reduction processes, sulfate reduction, and nutrient transformations (phytoplankton mineral nutrition), investigates hypoxia events caused by anthropogenic eutrophication, and forecasts changes in the oxygen and nutrient regimes of the water body.
Materials and Methods. To simulate the population dynamics of summer phytoplankton species correlated with satellite data assimilation methods, an operational algorithm for restoring water quality parameters of the Azov Sea was developed based on the Levenberg-Marquardt multidimensional optimization method. The initial distribution of phytoplankton populations was obtained by applying the Local Binary Patterns (LBP) method to satellite images of the Taganrog Bay and was used as input data for the mathematical model.
Results. Using integrated hydrodynamic and biological kinetics models combined with satellite data assimilation methods, a software suite was developed. This suite enables short- and medium-term forecasts of the ecological state of shallow water bodies based on diverse input data correlated with satellite information.
Discussion and Conclusion. The conducted studies on aquatic systems revealed that improving the accuracy of initial data is one mechanism for enhancing the quality of biogeochemical process forecasting in marine ecosystems. It was established that using satellite data alongside mathematical modeling methods allows for studying the spatiotemporal distribution of pollutants of various origins, plankton populations in the studied water body, and assessing the nature and scale of natural or anthropogenic phenomena to prevent negative economic and social consequences.
Keywords
About the Authors
Yu. V. BelovaRussian Federation
Yulia V. Belova - Candidate of Physical and Mathematical Sciences, Associate Professor of the Department of “Mathematics and Computer Science”
1, Gagarin Sq., Rostov-on-Don, 344003
A. A. Filina
Russian Federation
Alena A. Filina - Candidate of Technical Sciences, Researcher
106, Italiansky lane, Taganrog, 347900
A. E. Chistyakov
Russian Federation
Alexander E. Chistyakov - Doctor of Physical and Mathematical Sciences, Professor of the Department of “Computer Engineering and Automated Systems Software”
1, Gagarin Sq., Rostov-on-Don, 344003
References
1. Bresciani M., Giardino C., Lauceri R., Matta E., Cazzaniga I., Pinardi M., et al. Earth observation for monitoring and mapping of cyanobacteria blooms. Case studies on five Italian lakes. Journal of Limnology. 2017;76:127–139. https://doi.org/10.4081/jlimnol.2016.1565
2. Pitarch J., Ruiz-Verdú A., Sendra M.D., and Santoleri R. Evaluation and reformulation of the maximum peak height algorithm (MPH) and application in a hypertrophic lagoon. Journal of Geophysical Research: Oceans. 2017;122(2):1206–1221. https://doi.org/10.1002/2016JC012174
3. Shutyaev V.P. Methods for observation data assimilation in problems of physics of atmosphere and ocean. Izvestiya, Atmospheric and Oceanic Physics. 2019;55(1):17–31. https://doi.org/10.1134/S0001433819010080
4. Korotaev G.K., Shutyaev V.P. Numerical simulation of ocean circulation with ultrahigh spatial resolution. Proceedings of the Russian Academy of Sciences. Physics of the atmosphere and ocean. 2020;56(3):334–346. (In Russ.) https://doi.org/10.31857/S0002351520030104
5. Zelenko A.A., Resnyansky Yu.D. Marine observation systems as an integral part of operational oceanology (review). Meteorology and hydrology. 2018;12:5–30. (In Russ.)
6. Kabanikhin S.I., Krivorotko O.I. Algorithm for restoring the source of disturbances in a system of nonlinear shallow water equations. Journal of Computational Mathematics and Mathematical Physics. 2018;58(8):138–147. (In Russ.) https://doi.org/10.31857/S004446690002008-9
7. Marchuk G.I., Shutyaev V.P. Conjugate equations and iterative algorithms in problems of variational data assimilation. Proceedings of the Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences. 2011;17(2):136–150. (In Russ.)
8. Chao Y., Farrara J.D., Zhang H., Armenta K.J., Centurioni L., Chavez F., et al. Development, Implementation, and Validation of a California Coastal Ocean Modeling, Data Assimilation, and Forecasting System. Deep-Sea Research Part II: Topical Studies in Oceanography. 2018;151:49–63. https://doi.org/10.1016/j.dsr2.2017.04.013
9. Robertson R., Dong C. An evaluation of the performance of vertical mixing parameteriza-tions for tidal mixing in the Regional Ocean Modeling System (ROMS). Geoscience Letters. 2019;6(15). https://doi.org/10.1186/s40562-019-0146-y
10. Artal O., Sepúlveda H.H., Mery D., Pieringer C. Detecting and characterizing upwelling filaments in a numerical ocean model. Computers and Geosciences. 2019;122:25–34. https://doi.org/10.1016/j.cageo.2018.10.005
11. Themistocleous K., Papoutsa C., Michaelides S., Hadjimitsis D. Investigating Detection of Floating Plastic Litter from Space Using Sentinel-2 Imagery. Remote Sensing. 2020;12(16):2648. https://doi.org/10.3390/RS12162648
12. Nikitina A.V., Filina A.A. Mathematical modeling of the processes of evolution of microorganisms in a shallow reservoir in oxygen-deficient conditions. Intelligent information technologies and mathematical modeling. Proceedings of the International Scientific Conference. Edited by V.V. Dolgov. Rostov-on-Don. 2022:66–75. (In Russ.)
13. Chetverushkin B.N. Resolution limits of continuous media mode and their mathematical formulations. Math Models Comput Simul. 2013;5:266–279. (In Russ.) https://doi.org/10.1134/S2070048213030034
14. Yakushev E.V., Mikhailovsky G.E. Mathematical modeling of the influence of marine biota on the carbon dioxide ocean-atmosphere exchange in high latitudes. Air-Water Gas Transfer, Sel. Papers, Third Int. Symp., Heidelberg University, ed. by B. Jaehne and E.C. Monahan. Hanau: AEON Verlag & Studio. 1995:37–48.
15. Haltrin V.I., Kattawar G.W. Self-consistent solutions to the equation of transfer with elastic and inelastic scattering in oceanic optics: I. Model. Applied Optics. 1993;32(27):5356–5367. https://doi.org/10.1364/AO.32.005356
16. Sukhinov A.I., Protsenko E.A., Chistyakov A.E., Shreter S.A. Comparison of computational efficiencies of explicit and implicit schemes for the problem of sediment transport in coastal water systems. Parallel computing technologies (PaVT’2015). Proceedings of the international scientific conference. 2015; 297–307. (In Russ.)
17. Sukhinov A.I., Chistyakov A.E., Protsenko E.A. Construction of a discrete two-dimensional mathematical model of sediment transport. Bulletin of SFedU. Engineering sciences. 2011;8(121):32–44. (In Russ.)
18. Sukhinov A.I., Chistyakov A.E., Bondarenko Yu.S. Estimation of the error in solving the diffusion equation based on schemes with weights. Bulletin of SFedU. Engineering sciences. 2011;8(121):6–13. (In Russ.)
19. Sukhinov A.I., Belova Y.V., Nikitina A.V., Atayan A.M. Modeling biogeochemical processes in the Azov Sea using statistically processed data on river flow. Advanced Engineering Research (Rostov-on-Don). 2020;20(4):437–445. (In Russ.) https://doi.org/10.23947/2687-1653-2020-20-4-437-445
20. Sukhinov A.I., Panasenko N.D. Comparative investigation of neural and locally binary algorithms for image identification of plankton populations. Computational Mathematics and Information Technologies. 2022;1(2):70–80. https://doi.org/10.23947/2587-8999-2022-1-2-70-80
21. The official website of Earth observing system. URL: http://eos.com/landviewer/account/pricing (assecced: 01.02.2024).
Review
For citations:
Belova Yu.V., Filina A.A., Chistyakov A.E. Forecasting the Dynamics of Summer Phytoplankton Species based on Satellite Data Assimilation Methods. Computational Mathematics and Information Technologies. 2024;8(4):27-34. https://doi.org/10.23947/2587-8999-2024-8-4-27-34