IDEAS home Printed from https://ideas.repec.org/a/gam/jsusta/v17y2025i12p5401-d1676847.html
   My bibliography  Save this article

A Hybrid BiLSTM-TE Architecture for Spring Discharge Prediction in Data-Scarce Regions

Author

Listed:
  • Yan Liang

    (School of Computer and Information Engineering, Tianjin Normal University, Tianjin 300387, China)

  • Shuai Gu

    (School of Computer and Information Engineering, Tianjin Normal University, Tianjin 300387, China)

  • Chunmei Ma

    (School of Computer and Information Engineering, Tianjin Normal University, Tianjin 300387, China)

  • Yonghong Hao

    (Tianjin Key Laboratory of Water Resources and Environment, Tianjin Normal University, Tianjin 300387, China)

  • Huiqing Hao

    (Tianjin Key Laboratory of Water Resources and Environment, Tianjin Normal University, Tianjin 300387, China)

  • Shilei Ma

    (School of Computer and Information Engineering, Tianjin Normal University, Tianjin 300387, China)

  • Juan Zhang

    (Tianjin Key Laboratory of Water Resources and Environment, Tianjin Normal University, Tianjin 300387, China)

  • Xueting Wang

    (School of Computer and Information Engineering, Tianjin Normal University, Tianjin 300387, China)

Abstract

Climate change and intensified human activities have increasingly threatened the sustainability of groundwater resources, especially in ecologically fragile karst regions. To address these challenges, this study proposes a karst spring discharge prediction model that integrates BiLSTM (Bidirectional Long Short-Term Memory) and the Transformer Encoder. The BiLSTM component captures both forward and backward information in spring discharge data, extracting trend-related features. The Transformer’s attention mechanism is employed to identify key precipitation factors influencing spring discharge. A patching preprocessing strategy divides monthly scale sequences into annual segments, reducing input length while enabling local modeling and global interaction. Experiments on Shentou Spring discharge show that the BiLSTM–Transformer Encoder outperforms other deep learning models across multiple evaluation metrics, with notable advantages in short-term forecasting. The patching strategy effectively reduces model parameters and improves efficiency. Attention visualization further confirms the model’s ability to capture critical hydrological drivers. This study not only provides a novel approach to sustainable water management in karst spring basins but also demonstrates an effective use of deep learning for long-term hydrological sustainability.

Suggested Citation

  • Yan Liang & Shuai Gu & Chunmei Ma & Yonghong Hao & Huiqing Hao & Shilei Ma & Juan Zhang & Xueting Wang, 2025. "A Hybrid BiLSTM-TE Architecture for Spring Discharge Prediction in Data-Scarce Regions," Sustainability, MDPI, vol. 17(12), pages 1-20, June.
  • Handle: RePEc:gam:jsusta:v:17:y:2025:i:12:p:5401-:d:1676847
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2071-1050/17/12/5401/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/2071-1050/17/12/5401/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Jinjie Miao & Guoliang Liu & Bibo Cao & Yonghong Hao & Jianmimg Chen & Tian−Chyi Yeh, 2014. "Identification of Strong Karst Groundwater Runoff Belt by Cross Wavelet Transform," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 28(10), pages 2903-2916, August.
    2. Makridakis, Spyros, 1993. "Accuracy measures: theoretical and practical concerns," International Journal of Forecasting, Elsevier, vol. 9(4), pages 527-529, December.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Donghua Wang & Tianhui Fang, 2022. "Forecasting Crude Oil Prices with a WT-FNN Model," Energies, MDPI, vol. 15(6), pages 1-21, March.
    2. Alysha M De Livera, 2010. "Automatic forecasting with a modified exponential smoothing state space framework," Monash Econometrics and Business Statistics Working Papers 10/10, Monash University, Department of Econometrics and Business Statistics.
    3. Khan, Waqas & Walker, Shalika & Zeiler, Wim, 2022. "Improved solar photovoltaic energy generation forecast using deep learning-based ensemble stacking approach," Energy, Elsevier, vol. 240(C).
    4. Eduardo Correia & Rodrigo Calili & José Francisco Pessanha & Maria Fatima Almeida, 2023. "Definition of Regulatory Targets for Electricity Non-Technical Losses: Proposition of an Automatic Model-Selection Technique for Panel Data Regressions," Energies, MDPI, vol. 16(6), pages 1-22, March.
    5. Tseng, Chih-Hsiung & Cheng, Sheng-Tzong & Wang, Yi-Hsien & Peng, Jin-Tang, 2008. "Artificial neural network model of the hybrid EGARCH volatility of the Taiwan stock index option prices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(13), pages 3192-3200.
    6. Lawrence, Michael & O'Connor, Marcus, 2000. "Sales forecasting updates: how good are they in practice?," International Journal of Forecasting, Elsevier, vol. 16(3), pages 369-382.
    7. Amin Aminimehr & Ali Raoofi & Akbar Aminimehr & Amirhossein Aminimehr, 2022. "A Comprehensive Study of Market Prediction from Efficient Market Hypothesis up to Late Intelligent Market Prediction Approaches," Computational Economics, Springer;Society for Computational Economics, vol. 60(2), pages 781-815, August.
    8. Nik Dawson & Sacha Molitorisz & Marian-Andrei Rizoiu & Peter Fray, 2020. "Layoffs, Inequity and COVID-19: A Longitudinal Study of the Journalism Jobs Crisis in Australia from 2012 to 2020," Papers 2008.12459, arXiv.org, revised Feb 2021.
    9. Blaskowitz, Oliver & Herwartz, Helmut, 2011. "On economic evaluation of directional forecasts," International Journal of Forecasting, Elsevier, vol. 27(4), pages 1058-1065, October.
    10. Sun Sun & Nan Luo & Erik Stenberg & Lars Lindholm & Klas-Göran Sahlén & Karl A. Franklin & Yang Cao, 2022. "Sequential Multiple Imputation for Real-World Health-Related Quality of Life Missing Data after Bariatric Surgery," IJERPH, MDPI, vol. 19(17), pages 1-16, August.
    11. En-Chih Chang, 2018. "Improving Performance for Full-Bridge Inverter of Wind Energy Conversion System Using a Fast and Efficient Control Technique," Energies, MDPI, vol. 11(2), pages 1-16, January.
    12. Yuze Lu & Hailong Zhang & Qiwen Guo, 2023. "Stock and market index prediction using Informer network," Papers 2305.14382, arXiv.org.
    13. Maria Tzitiridou-Chatzopoulou & Georgia Zournatzidou & Michael Kourakos, 2024. "Predicting Future Birth Rates with the Use of an Adaptive Machine Learning Algorithm: A Forecasting Experiment for Scotland," IJERPH, MDPI, vol. 21(7), pages 1-13, June.
    14. Dean W. Wichern & Benito E. Flores, 2005. "Evaluating forecasts: a look at aggregate bias and accuracy measures," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 24(6), pages 433-451.
    15. Bruce G. S. Hardie & Peter S. Fader & Robert Zeithammer, 2003. "Forecasting new product trial in a controlled test market environment," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 22(5), pages 391-410.
    16. Bunn, Derek W. & Taylor, James W., 2001. "Setting accuracy targets for short-term judgemental sales forecasting," International Journal of Forecasting, Elsevier, vol. 17(2), pages 159-169.
    17. Yoon, Sung Wook & Jeong, Suk Jae, 2015. "An alternative methodology for planning baggage carousel capacity expansion: A case study of Incheon International Airport," Journal of Air Transport Management, Elsevier, vol. 42(C), pages 63-74.
    18. Jose, Victor Richmond R. & Winkler, Robert L., 2008. "Simple robust averages of forecasts: Some empirical results," International Journal of Forecasting, Elsevier, vol. 24(1), pages 163-169.
    19. Zhengwei Huang & Jin Huang & Jintao Min, 2022. "SSA-LSTM: Short-Term Photovoltaic Power Prediction Based on Feature Matching," Energies, MDPI, vol. 15(20), pages 1-16, October.
    20. Kim, Sungil & Kim, Heeyoung, 2016. "A new metric of absolute percentage error for intermittent demand forecasts," International Journal of Forecasting, Elsevier, vol. 32(3), pages 669-679.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jsusta:v:17:y:2025:i:12:p:5401-:d:1676847. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.