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A Hybrid Model Combining the Cama-Flood Model and Deep Learning Methods for Streamflow Prediction

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Abstract

Climate warming will accelerate the global hydrological cycle and intensify the risk of extreme precipitation and floods. Accurate and reliable streamflow forecasting is fundamental to flood risk mitigation. In this study, we develop a streamflow prediction model by coupling physics-based models, namely, the variable infiltration capacity (VIC) and catchment-based macroscale floodplain (CaMa-Flood) models, with deep learning methods, i.e., the recurrent neural network (RNN) and long short-term memory (LSTM), which complement physics-based models. Two hybrid models, namely, the VIC-CaMa-Flood-RNN (VCR) and VIC-CaMa-Flood-LSTM (VCL) models, are established that provide the advantages of both physics-based and data-driven models. The results show that (1) the VCL model achieves the best performance among the proposed models in streamflow and flood prediction. It outperforms the VCR model, with a potential increase of up to 4.94% in Nash Sutcliffe efficiency coefficient (NSE) and 1.18% in correlation coefficient (R), as well as an improvement of 15.8% in the maximum flood volumes (MAX). (2) in this study, we investigate the actual contribution of various input features (precipitation, maximum temperature, minimum temperature, and wind speed) to the hybrid model-simulated streamflow. The results show that the minimum temperature is the most significant feature, followed by precipitation, maximum temperature, and wind speed. When the maximum and minimum temperatures are considered as temperature features, temperature and precipitation are the most important features affecting the hybrid model-simulated streamflow, with the actual contribution exceeding 80%. (3) during the 2040 and 2090 s, considering the SSP1-2.6, SSP2-4.5, and SSP5-8.5 scenarios, the monthly average streamflow will increase with increasing temperature, and flood seasons will be prolonged. This study is a novel attempt to couple physics-based and data-driven models, which can further improve the streamflow and flood prediction accuracy and provide reliable support for future flood risk assessments.

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References

  • Abda Z, Zerouali B, Chettih M, Guimarães Santos CA, de Farias CAS, Elbeltagi A (2022) Assessing machine learning models for streamflow estimation: a case study in Oued Sebaou watershed (Northern Algeria). Hydrol Sci J 67:1328–1341

    Article  Google Scholar 

  • Bai Y, Bezak N, Zeng B, Li C, Sapač K, Zhang J (2021) Daily runoff forecasting using a Cascade Long Short-Term memory model that considers different variables. Water Resour Manage 35(4):1167–1181

    Article  Google Scholar 

  • Breiman L (2001) Random Forests Machine Learning 45(1):5–32

    Article  Google Scholar 

  • Cui Z, Zhou Y, Guo S, Wang J, Xu C-Y (2022) Effective improvement of multi-step-ahead flood forecasting accuracy through encoder-decoder with an exogenous input structure. J Hydrol 609:127764

    Article  Google Scholar 

  • Gauch M, Kratzert F, Klotz D, Nearing G, Lin J, Hochreiter S (2021) Rainfall–runoff prediction at multiple timescales with a single long short-term memory network. Hydrol Earth Syst Sci 25(4):2045–2062

    Article  Google Scholar 

  • Guo J, Liu Y, Zou Q, Ye L, Zhu S, Zhang H (2023) Study on optimization and combination strategy of multiple daily runoff prediction models coupled with physical mechanism and LSTM. J Hydrol 624:129969

    Article  Google Scholar 

  • Hashemi R, Brigode P, Garambois P-A, Javelle P (2022) How can we benefit from regime information to make more effective use of long short-term memory (LSTM) runoff models? Hydrol Earth Syst Sci 26(22):5793–5816

    Article  Google Scholar 

  • Hochreiter S, Schmidhuber J (1997) Long short-term memory. Neural Comput 9(8):1735–1780

    Article  Google Scholar 

  • IPCC (2021) Climate Change 2021: the physical science basis. Contribution of Working Group I to the Sixth Assessment Report of the Intergovernmental Panel on Climate Change. Cambridge University Press, Cambridge

    Google Scholar 

  • Kim T, Shin J-Y, Kim H, Heo J-H (2020) Ensemble-based neural network modeling for hydrologic forecasts: addressing uncertainty in the Model structure and Input Variable Selection. Water Resour Res, 56(6), e2019WR026262.

  • Kisi O, Nia AM, Gosheh MG, Tajabadi MRJ, Ahmadi A (2012) Intermittent streamflow forecasting by using several data driven techniques. Water Resour Manage 26:457–474

    Article  Google Scholar 

  • Konapala G, Kao S, Painter S, Lu D (2020) Machine learning assisted hybrid models can improve streamflow simulation in diverse catchments across the conterminous US. Environ Res Lett 15(10):104022

    Article  Google Scholar 

  • Kurian C, Sudheer K, Vema V, Sahoo D (2020) Effective flood forecasting at higher lead times through hybrid modelling framework. J Hydrol 587:124945

    Article  Google Scholar 

  • Leng G, Tang Q, Huang M, Hong Y, Leung L (2014) Projected changes in mean and interannual variability of surface water over continental China. Sci China Earth Sci 58:739–754

    Article  Google Scholar 

  • Liang X, Lettenmaier D, Wood E, Burges S (1994) A simple hydrologically based model of land surface water and energy fluxes for general circulation models. J Geophys Research: Atmos 99(D7):14415–14428

    Article  Google Scholar 

  • Lin Y, Wang D, Wang G, Qiu J, Long K, Du Y, Xie H, Wei Z, Shangguan W, Dai Y (2021) A hybrid deep learning algorithm and its application to streamflow prediction. J Hydrol 601:126636

    Article  Google Scholar 

  • Lin Q, Wu Z, Liu J, Singh V, Zuo Z (2022) Hydrological drought dynamics and its teleconnections with large-scale climate indices in the Xijiang River basin, South China. Theoret Appl Climatol 150(1):229–249

    Article  Google Scholar 

  • Liu W, Yang T, Sun F, Wang H, Feng Y, Du M (2021) Observation-Constrained projection of Global Flood Magnitudes with anthropogenic warming. Water Resour Res, 57(3), e2020WR028830.

  • Lotfirad M, Adib A, Riyahi MM, Jafarpour M (2023) Evaluating the effect of the uncertainty of CMIP6 models on extreme flows of the Caspian Hyrcanian forest watersheds using the BMA method. Stoch Environ Res Risk Assess 37:491–505

    Article  Google Scholar 

  • Luo K, Tao F, Deng X, Moiwo JP (2017) Changes in potential evapotranspiration and surface runoff in 1981–2010 and the driving factors in Upper Heihe River Basin in Northwest China. Hydrol Process 31:90–103

    Article  Google Scholar 

  • Masson-Delmotte V, Zhai P, Pirani A, Connors S, Péan C, Berger S, Caud N, Chen Y, Goldfarb L, Gomis MI, Huang M, Leitzell K, Lonnoy E, Matthews J, Maycock T, Waterfield T, Yelekçi Ö, Yu R, Zhou B (eds) 2021. Climate Change 2021: The Physical Science Basis. Contribution of Working Group I to the Sixth Assessment Report of the Intergovernmental Panel on Climate Change

  • Mehr AD (2018) An improved gene expression programming model for streamflow forecasting in intermittent streams. J Hydrol 563:669–678

    Article  Google Scholar 

  • Moriasi D, Arnold J, Van Liew M, Bingner R, Harmel R, Veith T (2007) Model evaluation guidelines for systematic quantification of Accuracy in Watershed Simulations. Trans ASABE 50(3):885–900

    Article  Google Scholar 

  • Nourani V, Behfar N (2021) Multi-station runoff-sediment modeling using seasonal LSTM models. J Hydrol 601:126672

    Article  Google Scholar 

  • Pineda F (1987) Generalization of back-propagation to recurrent neural networks. Phys Rev Lett 59(19):2229–2232

    Article  Google Scholar 

  • Pumo D, Noto L (2023) Exploring the use of multi-gene genetic programming in regional models for the simulation of monthly river runoff series. Stochastic Environmental Research and Risk Assessment, p 37

  • Reichstein M, Camps-Valls G, Stevens B, Jung M, Denzler J, Carvalhais N, Prabhat (2019) Deep learning and process understanding for data-driven Earth system science. Nature 566:195–204

    Article  Google Scholar 

  • Shokouhifar Y, Lotfirad M, Esmaeili-Gisavandani H, Adib A (2022) Evaluation of climate change effects on flood frequency in arid and semi-arid basins. Water Supply 22:6740–6755

    Article  Google Scholar 

  • Wang G, Wang D, Trenberth KE, Erfanian A, Yu M, Bosilovich MG, Parr DT (2017) The peak structure and future changes of the relationships between extreme precipitation and temperature. Nat Clim Change 7:268–274

    Article  Google Scholar 

  • Wang W, Yang S, Stanley H, Gao J (2019) Local floods induce large-scale abrupt failures of road networks. Nat Commun 10(1):2114

    Article  Google Scholar 

  • Xu Y, Hu C, Wu Q, Jian S, Li Z, Chen Y, Zhang G, Zhang Z, Wang S (2022) Research on particle swarm optimization in LSTM neural networks for rainfall-runoff simulation. J Hydrol 608:127553

    Article  Google Scholar 

  • Yamazaki D, Kanae S, Kim H, Oki T (2011) A physically based description of floodplain inundation dynamics in a global river routing model. Water Resour Res 47(4):W04501

    Article  Google Scholar 

  • Zhao R (1992) The Xinanjiang model applied in China. J Hydrol 135:371–381

    Article  Google Scholar 

  • Zhao WL, Gentine P, Reichstein M, Zhang Y, Zhou S, Wen Y, Lin C, Li X, Qiu GY (2019) Physics-constrained machine learning of Evapotranspiration. Geophys Res Lett 46(24):14496–14507

    Article  Google Scholar 

  • Zhao Y, Li Z, Cai S, Wang H (2020) Characteristics of extreme precipitation and runoff in the Xijiang River Basin at global warming of 1.5°C and 2°C. Nat Hazards 101(3):669–688

    Article  Google Scholar 

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Acknowledgements

This work was supported by the National Key R&D Program of China (2021YFC3001000), National Natural Science Foundation of China (52109004), the Basic and Applied Basic Program of Guangzhou (202201011132).

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Author information

Authors and Affiliations

Authors

Contributions

All authors contributed to the study conception and design. Material preparation, data collection and analysis were performed by [H. Zhang], [M. Zhong], and [T. Jiang]. Software, and Validation were performed by [H. Zhang], [J. Guo], [J. Zhu] and [D. Wang]. Project administration were [M. Zhong] and [X. Chen]. The first draft of the manuscript was written by [M. Zhong] and [H. Zhang], all authors commented on previous versions of the manuscript. All authors read and approved the final manuscript.

Corresponding author

Correspondence to Tao Jiang.

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There is no known conflict and competing interests in this research.

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Informed consent was obtained from all individual participants included in the study.

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Appendix

Appendix

Table. The full name for all acronyms used in this paper.

Acronyms

Full names

VIC

Variable Infiltration Capacity model

CaMa-Flood

Catchment-based Macro-Scale Floodplain model

RNN

Recurrent Neural Network model

LSTM

Long Short-Term Memory model

RF

Random Forest model

VCR

VIC-CaMa-Flood-RNN model

VCL

VIC-CaMa-Flood-LSTM model

NSE

Nash-Sutcliffe efficiency coefficient

R

Correlation coefficient

RE

Relative error

MAX

Maximum flood volumes

Q95

0.95 quantile flood volumes

Q90

0.90 quantile flood volumes

WZ

Wuzhou hydrological station

WX

Wuxuan hydrological station

DHJ

Dahuangjiang hydrological station

GCMs

Global circulation models

CMIP6

The Coupled Model Intercomparison Project (phase 6)

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Zhong, M., Zhang, H., Jiang, T. et al. A Hybrid Model Combining the Cama-Flood Model and Deep Learning Methods for Streamflow Prediction. Water Resour Manage 37, 4841–4859 (2023). https://doi.org/10.1007/s11269-023-03583-0

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