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Open AccessArticle
Enhanced Spatiotemporal Relationship-Guided Deep Learning for Water Quality Prediction
by
Ruikai Chen
Ruikai Chen 1,†
,
Yonggui Wang
Yonggui Wang 1,2,*
,
Hongjun Wang
Hongjun Wang 1,
Shaofei Wang
Shaofei Wang 3,† and
Jun Yang
Jun Yang 4
1
Hubei Key Laboratory of Regional Ecology and Environmental Change, School of Geography and Information Engineering, China University of Geosciences, Wuhan 430074, China
2
Wuhan Institute of Advanced Technology, Wuhan 430070, China
3
Yantai Science and Technology Innovation Promotion Center, Yantai 264003, China
4
Lihe Technology (Hunan) Co., Ltd., Changsha 410205, China
*
Author to whom correspondence should be addressed.
†
These authors contributed equally to this work.
Water 2026, 18(2), 185; https://doi.org/10.3390/w18020185 (registering DOI)
Submission received: 4 December 2025
/
Revised: 6 January 2026
/
Accepted: 8 January 2026
/
Published: 10 January 2026
Abstract
Water quality prediction serves as a crucial basis for water environment supervision and is of great significance for water resource protection. This study utilized meteorological and water quality data from 40 monitoring stations in the Tuojiang River Basin, Sichuan Province, China. A Gated Recurrent Unit (GRU) model and a Graph Attention Network–Gated Recurrent Unit (GAT-GRU) model were constructed. Furthermore, based on the GAT-GRU framework, an Enhanced Spatio-Temporal Relation-Guided Gated Recurrent Unit (ESRG-GRU) model was developed by incorporating an explicit river network topology and a loss function that is sensitive to extreme values to strengthen spatio-temporal relationships. Water quality predictions were made for all 40 stations, and the performance of the three models was compared. The results show that, during the 7-day forecasting period, the training time of both the ESRG-GRU and the GAT-GRU models was only about 1/40 of that required for the GRU model. In terms of prediction accuracy, the average Nash–Sutcliffe efficiency (NSE) values over the 7-day forecast period were ESRG-GRU (0.7904) > GAT-GRU (0.7557) > GRU (0.6870), while the average root mean square error (RMSE) values were ESRG-GRU (0.0156) < GAT-GRU (0.0168) < GRU (0.0185). Regarding accuracy across different regions and seasons within the river basin, the ESRG-GRU model, guided by enhanced spatio-temporal deep learning, consistently outperformed both the GRU and the GAT-GRU models. This method can effectively enhance both the efficiency and accuracy of water quality prediction, thereby providing support for water environment supervision and regional water quality improvement.
Share and Cite
MDPI and ACS Style
Chen, R.; Wang, Y.; Wang, H.; Wang, S.; Yang, J.
Enhanced Spatiotemporal Relationship-Guided Deep Learning for Water Quality Prediction. Water 2026, 18, 185.
https://doi.org/10.3390/w18020185
AMA Style
Chen R, Wang Y, Wang H, Wang S, Yang J.
Enhanced Spatiotemporal Relationship-Guided Deep Learning for Water Quality Prediction. Water. 2026; 18(2):185.
https://doi.org/10.3390/w18020185
Chicago/Turabian Style
Chen, Ruikai, Yonggui Wang, Hongjun Wang, Shaofei Wang, and Jun Yang.
2026. "Enhanced Spatiotemporal Relationship-Guided Deep Learning for Water Quality Prediction" Water 18, no. 2: 185.
https://doi.org/10.3390/w18020185
APA Style
Chen, R., Wang, Y., Wang, H., Wang, S., & Yang, J.
(2026). Enhanced Spatiotemporal Relationship-Guided Deep Learning for Water Quality Prediction. Water, 18(2), 185.
https://doi.org/10.3390/w18020185
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