MATHEMATICAL FORECASTING OF SPATIO-TEMPORAL DYNAMICS OF HYDROECOLOGICAL PARAMETERS OF RIVER ECOSYSTEMS USING INTEGRALLY-MODIFIED STREETER-PHELPS MODEL

EP.
2025;
: рр. 309-316
1
Zhytomyr Polytechnic State University
2
Zhytomyr Polytechnic State University
3
Pryazovskyi State Technical University
4
Pryazovskyi State Technical University
5
Zhytomyr Polytechnic State University

This study presents a comprehensive mathematical forecasting approach for hydroecological parameters in small urban river systems using an integrally-modified Streeter-Phelps model. The research focuses on the Kamyanka River, a small tributary within Zhytomyr city, Ukraine, which experiences significant anthropogenic influence from urban development. The modified model incorporates advanced computational algorithms implemented in Python programming environment to predict dissolved oxygen concentration and biochemical oxygen demand dynamics over a 25-year period (2020-2045). Model verification using observational data from 2020-2023 demonstrated high accuracy with R²=0.87 and root mean square deviation of ±0.2 mg/L for dissolved oxygen predictions. The results reveal a positive trend in oxygen regime optimization, with dissolved oxygen concentrations projected to increase from 8.5 mg/L to 11.0 mg/L, while biochemical oxygen demand is expected to decrease from 4.0 to 3.0 mg O₂/L. Statistical analysis confirmed model reliability through Nash-Sutcliffe efficiency coefficient (NSE = 0.84) and cross-validation metrics (R²ᶜᵛ = 0.83). The developed forecasting system provides robust framework for environmental management and supports long-term planning strategies for ecological rehabilitation of urbanized river ecosystems.

 

1. Arifin, A., Mohamed, R., Al-Gheethi, A., Kassim, A., & Yaakob, M. A. (2020). Assessment of household greywater discharge from village houses using Streeter-Phelps model in stream. Desalination and Water Treatment, 177, 311-318. doi: https://doi.org/10.5004/dwt.2020.24995

2. Cox, B. A. (2003). A review of currently available in-stream water-quality models and their applicability for simulating dissolved oxygen in lowland rivers. Science of The Total Environment, 314-316, 335-377.

3. Cunha, A., Coneglian, C. M. R., & Poletti, E. (2018). Sewage discharge and water self-decay: Streeter and Phelps model application. Computational and Applied Mathematics, 37(4), 5129-5138. doi: https://doi.org/10.1007/s40314-017-0526-x

4. Fan, C., Wang, W.-S., Liu, K. F., & Yang, T.-M. (2012). Sensitivity analysis and water quality modeling of a tidal river using a modified Streeter–Phelps equation with HEC-RAS-calculated hydraulic characteristics. Environmental Modeling & Assessment, 17(6), 639-651. doi: https://doi.org/10.1007/s10666-012-9316-4

5. Jian, C. (2003). Study on the shortcoming of Streeter-Phelps model and its improvement. Journal of Anhui University of Technology, 20, 36-38.

6. Kapelista, I., Kireitseva, H., Tsyhanenko-Dziubenko, I., Khomenko, S., & Vovk, V. (2024). Review of innovative approaches for sustainable use of Ukraine's natural resources. Grassroots Journal of Natural Resources, 7(3), s378-s395. doi: https://doi.org/10.33002/nr2581.6853.0703ukr19

7. Lindenschmidt, K. E. (2006). The effect of complexity on parameter sensitivity and model uncertainty in river water quality modelling. Ecological Modelling, 190(1-2), 72-86.

8. Long, B. T. (2020). Inverse algorithm for Streeter-Phelps equation in water pollution control problem. Mathematics and Computers in Simulation, 171, 119-126. doi: https://doi.org/10.1016/j.matcom.2019.12.005

9. Meléndez Maza, A. J., Rodríguez-Arías, H. A., & Pasqualino, J. (2020). Validation of the Streeter-Phelps model in Matlab to predict biochemical demand for oxygen DOB and dissolved oxygen OD. International Journal of Engineering Research and Development, 16(1), 38-47.

10. Moura, L. S., Lopes, R. B., Ribeiro, J., Fernandes, G., Almeida, R. M., & Melo, S. (2020). Mathematical modeling in the Urumari micro-watershed using Streeter-Phelps mathematical models and the enhanced Do-Bod model. Brazilian Journal of Development, 6(3), 13904-13914.

11. Rauch, W., Henze, M., Koncsos, L., & Reichert, P. (1998). River water quality modelling: I. State of the art. Water Science and Technology, 38(11), 237-244.

12. Rinaldi, S., & Soncini-Sessa, R. (1978). Sensitivity analysis of generalized Streeter-Phelps models. Advances in Water Resources, 1, 141-146. doi: https://doi.org/10.1016/0309-1708(78)90024-6

13. Rinaldi, S., Soncini-Sessa, R., & Romano, P. (1979). Parameter estimation of Streeter-Phelps models. Journal of the Environmental Engineering Division, 105(1), 75-88.

14 Tsyhanenko-Dziubenko, I., Kireitseva, H., & Fonseca Araújo, J. (2024). Physiological and biochemical biomarkers of macrophyte resilience to military-related toxic stressors. Journal Environmental Problems, 9(4), 227-234. doi: https://doi.org/10.23939/ep2024.04.227

15 Tsyhanenko-Dziubenko, I., Kireitseva, H., Shomko, O., Gandziura, V., & Khamdosh, I. (2025). Analytical assessment of heavy metals polyelement distribution in urbanized hydroecosystem components: Spatial differentiation and migration patterns. Journal Environmental Problems, 10(2), 135-144. doi: https://doi.org/10.23939/ep2025.02.135