Abstract (eng):
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.
Description:
Tsyhanenko-Dziubenko, I., Kireitseva, H., Sheliah, K., Levytska, T., Kalenska, V.
(2025). Mathematical forecasting of spatio-temporal dynamics of hydroecological parameters of river
ecosystems using integrally-modified Streeter-Phelps model. Journal Environmental Problems, 10(3),
309–318. DOI: https://doi.org/10.23939/ep2025.03.309