Cited by 633Hydrological Forecasting Using AIHydrology and Watershed Management StudiesStock Market Forecasting Methods

Enhancing Streamflow Forecast and Extracting Insights Using Long‐Short Term Memory Networks With Data Integration at Continental Scales

Open access
Feng, Dapeng, Fang, Kuai, Shen, Chaopeng·2020·Water Resources Research

Abstract

Recent observations with varied schedules and types (moving average, snapshot, or regularly spaced) can help to improve streamflow forecasts, but it is challenging to integrate them effectively. Based on a long short‐term memory (LSTM) streamflow model, we tested multiple versions of a flexible procedure we call data integration (DI) to leverage recent discharge measurements to improve forecasts. DI accepts lagged inputs either directly or through a convolutional neural network unit. DI ubiquitously elevated streamflow forecast performance to unseen levels, reaching a record continental‐scale median Nash‐Sutcliffe Efficiency coefficient value of 0.86. Integrating moving‐average discharge, discharge from the last few days, or even average discharge from the previous calendar month could all improve daily forecasts. Directly using lagged observations as inputs was comparable in performance to using the convolutional neural network unit. Importantly, we obtained valuable insights regarding hydrologic processes impacting LSTM and DI performance. Before applying DI, the base LSTM model worked well in mountainous or snow‐dominated regions, but less well in regions with low discharge volumes (due to either low precipitation or high precipitation‐energy synchronicity) and large interannual storage variability. DI was most beneficial in regions with high flow autocorrelation: it greatly reduced baseflow bias in groundwater‐dominated western basins and also improved peak prediction for basins with dynamical surface water storage, such as the Prairie Potholes or Great Lakes regions. However, even DI cannot elevate performance in high‐aridity basins with 1‐day flash peaks. Despite this limitation, there is much promise for a deep‐learning‐based forecast paradigm due to its performance, automation, efficiency, and flexibility.

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Integrity signals

Registry

Crossref · 10.1029/2019wr026793

Cites

3 of 3 references verified0 citation errors · 0 not checkable

Statistics

Claims the paper makes

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Self-check

Percentages, sums and reported differences re-computed from the paper’s own numbers.

The self-check needs the paper’s full text.

Cites

Flagged first, then by citations

Research works printed but not linked: 61

  1. Addor, N., Newman, A. J., Mizukami, N., & Clark, M. P. (2017). Catchment attributes for large-sample studies. Boulder, CO: UCAR/NCAR. https://doi.org/10.5065/D6G73C3Q · DOI
  2. Anderson, M. G., & McDonnell, J. J. (2005). Sacramento Soil Moisture Accounting Model (SAC-SMA). In Encyclopedia of Hydrological Sciences . Chichester, UK: John Wiley & Sons, Ltd. https://doi.org/10.1002/0470848944.hsa279 · DOI
  3. Bennett, J. C., Wang, Q. J., Li, M., Robertson, D. E., & Schepen, A. (2016). Reliable long-range ensemble streamflow forecasts: Combining calibrated climate forecasts with a conceptual runoff model and a staged error model. Water Resources Research , 52 (10), 8238-8259. https://doi.org/10.1002/2016WR019193 · DOI
  4. Berghuijs, W. R., Sivapalan, M., Woods, R. A., & Savenije, H. H. G. (2014). Patterns of similarity of seasonal water balances: A window into streamflow variability over a range of time scales. Water Resources Research , 50 (7), 5638-5661. https://doi.org/10.1002/2014WR015692 · DOI
  5. Biancamaria, S., Lettenmaier, D. P., & Pavelsky, T. M. (2016). The SWOT Mission and Its Capabilities for Land Hydrology. Surveys in Geophysics , 37 (2), 307-337. https://doi.org/10.1007/s10712-015-9346y · DOI
  6. Brooks, J. R., Mushet, D. M., Vanderhoof, M. K., Leibowitz, S. G., Christensen, J. R., Neff, B. P., et al. (2018). Estimating Wetland Connectivity to Streams in the Prairie Pothole Region: An Isotopic and Remote Sensing Approach. Water Resources Research , 54 (2), 955-977. https://doi.org/10.1002/2017WR021016 · DOI
  7. Bulygina, N., Ballard, C., McIntyre, N., O'Donnell, G., & Wheater, H. (2012). Integrating different types of information into hydrological model parameter estimation: Application to ungauged catchments and land use scenario analysis. Water Resources Research , 48 (6). https://doi.org/10.1029/2011WR011207 · DOI
  8. Burnash, R. J. C. (1995). The NWS River Forecast System - catchment modeling. In V. P. Singh (Ed.), Computer models of watershed hydrology (pp. 311-366). Water Resources Publications, Highlands Ranch, Colo.
  9. Clark, M. P., Rupp, D. E., Woods, R. A., Zheng, X., Ibbitt, R. P., Slater, A. G., et al. (2008). Hydrological data assimilation with the ensemble Kalman filter: Use of streamflow observations to update states in a distributed hydrological model. Advances in Water Resources , 31 (10), 1309-1324. https://doi.org/10.1016/J.ADVWATRES.2008.06.005 · DOI
  10. Entekhabi, D. (2010). The Soil Moisture Active Passive (SMAP) mission. Proc. IEEE , 98 (5), 704-716. https://doi.org/10.1109/JPROC.2010.2043918 · DOI
  11. Fang, K., Shen, C., Fisher, J. B., & Niu, J. (2016). Improving Budyko curve-based estimates of long-term water partitioning using hydrologic signatures from GRACE. Water Resources Research , 52 (7), 5537-5554. https://doi.org/10.1002/2016WR018748 · DOI
  12. Fang, K., Shen, C., Kifer, D., & Yang, X. (2017). Prolongation of SMAP to Spatio-temporally Seamless Coverage of Continental US Using a Deep Learning Neural Network. Geophysical Research Letters , 44 , 11030-11039. https://doi.org/10.1002/2017GL075619 · DOI
  13. Fang, K., Pan, M., & Shen, C. (2018). The Value of SMAP for Long-Term Soil Moisture Estimation With the Help of Deep Learning. IEEE Transactions on Geoscience and Remote Sensing , 1-13. https://doi.org/10.1109/TGRS.2018.2872131 · DOI · Paper page
  14. Fang, K., Shen, C., & Kifer, D. (2019). Separating Aleatoric and Epistemic Uncertainties of Time Series Deep Learning Models for Soil Moisture Predictions. In ICML 2019 Workshop. Climate Change: How can AI help? Retrieved from https://arxiv.org/abs/1906.04595 · arXiv
  15. Farmer, W. H., Over, T. M., & Kiang, J. E. (2018). Bias correction of simulated historical daily streamflow at ungauged locations by using independently estimated flow duration curves. Hydrology and Earth System Sciences , 22 (11), 5741-5758. https://doi.org/10.5194/hess-22-5741-2018 · DOI
  16. Gal, Y., & Ghahramani, Z. (2015). A Theoretically Grounded Application of Dropout in Recurrent Neural Networks. Arxiv Preprint . Retrieved from http://arxiv.org/abs/1512.05287 · arXiv
  17. Gupta, H. V., Kling, H., Yilmaz, K. K., & Martinez, G. F. (2009). Decomposition of the mean squared error and NSE performance criteria: Implications for improving hydrological modelling. Journal of Hydrology , 377 (1-2), 80-91. https://doi.org/10.1016/j.jhydrol.2009.08.003 · DOI · Paper page
  18. Hirsch, R. M., & Archfield, S. A. (2015). Flood trends: Not higher but more often. Nature Climate Change , 5 (3), 198-199. https://doi.org/10.1038/nclimate2551 · DOI
  19. Houser, P. R., Shuttleworth, W. J., Famiglietti, J. S., Gupta, H. V., Syed, K. H., & Goodrich, D. C. (1998). Integration of soil moisture remote sensing and hydrologic modeling using data assimilation. Water Resources Research , 34 (12), 3405-3420. https://doi.org/10.1029/1998WR900001 · DOI
  20. Hu, C., Wu, Q., Li, H., Jian, S., Li, N., & Lou, Z. (2018). Deep Learning with a Long Short-Term Memory Networks Approach for Rainfall-Runoff Simulation. Water , 10 (11), 1543. https://doi.org/10.3390/w10111543 · DOI
  21. Hubbard, D. E., & Linder, R. L. (1986). Spring runoff retention in prairie pothole wetlands . Journal of Soil and Water Conservation (Vol. 41). [Soil Conservation Society of America]. Retrieved from http://www.jswconline.org/content/41/2/122.short
  22. Jia, X., Willard, J., Karpatne, A., Read, J., Zwart, J., Steinbach, M., & Kumar, V. (2019). Physics Guided RNNs for Modeling Dynamical Systems: A Case Study in Simulating Lake Temperature Profiles. In Proceedings of the 2019 SIAM International Conference on Data Mining (pp. 558-566). Philadelphia, PA: Society for Industrial and Applied Mathematics. https://doi.org/10.1137/1.9781611975673.63 · DOI
  23. Karpatne, A., Atluri, G., Faghmous, J. H., Steinbach, M., Banerjee, A., Ganguly, A., et al. (2017). TheoryGuided Data Science: A New Paradigm for Scientific Discovery from Data. IEEE Transactions on Knowledge and Data Engineering , 29 (10), 2318-2331. https://doi.org/10.1109/TKDE.2017.2720168 · DOI · Paper page
  24. Krajewski, W. F., Ceynar, D., Demir, I., Goska, R., Kruger, A., Langel, C., et al. (2017). Real-Time Flood Forecasting and Information System for the State of Iowa. Bulletin of the American Meteorological Society , 98 (3), 539-554. https://doi.org/10.1175/BAMS-D-15-00243.1 · DOI
  25. Kratzert, F., Klotz, D., Brenner, C., Schulz, K., & Herrnegger, M. (2018). Rainfall-runoff modelling using Long Short-Term Memory (LSTM) networks. Hydrology and Earth System Sciences , 22 (11), 60056022. https://doi.org/10.5194/hess-22-6005-2018 · DOI
  26. Kratzert, F., Klotz, D., Shalev, G., Klambauer, G., Hochreiter, S., & Nearing, G. (2019). Benchmarking a Catchment-Aware Long Short-Term Memory Network (LSTM) for Large-Scale Hydrological Modeling. Hydrology and Earth System Sciences Discussions , 1-32. https://doi.org/10.5194/hess- · DOI
  27. Kratzert, F., Herrnegger, M., Klotz, D., Hochreiter, S., & Klambauer, G. (2019). NeuralHydrology Interpreting LSTMs in Hydrology. arXiv:1903.07903 . Retrieved from http://arxiv.org/abs/1903.07903 · arXiv
  28. Ladson, A. R., Brown, R., Neal, B., & Nathan, R. (2013). A standard approach to baseflow separation using the Lyne and Hollick filter. Australian Journal of Water Resources , 17 (1), 25-34. https://doi.org/10.7158/W12-028.2013.17.1 · DOI
  29. Le, X.-H., Ho, H. V., Lee, G., Jung, S., Le, X.-H., Ho, H. V., et al. (2019). Application of Long Short-Term Memory (LSTM) Neural Network for Flood Forecasting. Water , 11 (7), 1387. https://doi.org/10.3390/w11071387 · DOI
  30. Leibowitz, S. G., & Vining, K. C. (2003). Temporal connectivity in a prairie pothole complex. Wetlands , 23 (1), 13-25. https://doi.org/10.1672/0277-5212(2003)023[0013:tciapp]2.0.co;2 · DOI
  31. Leibowitz, S. G., Mushet, D. M., & Newton, W. E. (2016). Intermittent Surface Water Connectivity: Fill and Spill Vs. Fill and Merge Dynamics. Wetlands , 36 (S2), 323-342. https://doi.org/10.1007/s13157016-0830-z · DOI
  32. Li, M., Wang, Q. J., Bennett, J. C., & Robertson, D. E. (2015). A strategy to overcome adverse effects of autoregressive updating of streamflow forecasts. Hydrol. Earth Syst. Sci , 19 , 1-15. https://doi.org/10.5194/hess-19-1-2015 · DOI
  33. Maidment, D. R. (2017). Conceptual Framework for the National Flood Interoperability Experiment. JAWRA Journal of the American Water Resources Association , 53 (2), 245-257. https://doi.org/10.1111/1752-1688.12474 · DOI
  34. Martinez, G. F., & Gupta, H. V. (2010). Toward improved identification of hydrological models: A diagnostic evaluation of the ' abcd ' monthly water balance model for the conterminous United States. Water Resources Research , 46 (8). https://doi.org/10.1029/2009WR008294 · DOI
  35. Milly, P. C. D. (1994). Climate, soil water storage, and the average annual water balance. Water Resources Research , 30 (7), 2143-2156. https://doi.org/10.1029/94WR00586 · DOI
  36. Nash, J. E., & Sutcliffe, J. V. (1970). River flow forecasting through conceptual models part I - A discussion of principles. Journal of Hydrology , 10 (3), 282-290. https://doi.org/10.1016/00221694(70)90255-6 · DOI
  37. Nearing, G. S., & Gupta, H. V. (2015). The quantity and quality of information in hydrologic models. Water Resources Research , 51 (1), 524-538. https://doi.org/10.1002/2014WR015895 · DOI
  38. Newman, A. J., Sampson, K., Clark, M. P., Bock, A., Viger, R. J., & Blodgett, D. (2014). A large-sample watershed-scale hydrometeorological dataset for the contiguous USA. Boulder. https://doi.org/10.5065/D6MW2F4D · DOI
  39. Newman, A. J., Clark, M. P., Sampson, K., Wood, A., Hay, L. E., Bock, A., et al. (2015). Development of a large-sample watershed-scale hydrometeorological data set for the contiguous USA: data set characteristics and assessment of regional variability in hydrologic model performance. Hydrology and Earth System Sciences , 19 (1), 209-223. https://doi.org/10.5194/hess-19-209-2015 · DOI
  40. Newman, A. J., Mizukami, N., Clark, M. P., Wood, A. W., Nijssen, B., Nearing, G., et al. (2017). Benchmarking of a Physically Based Hydrologic Model. Journal of Hydrometeorology , 18 (8), 22152225. https://doi.org/10.1175/JHM-D-16-0284.1 · DOI
  41. Niu, J., Shen, C., Li, S.-G., & Phanikumar, M. S. (2014). Quantifying storage changes in regional Great Lakes watersheds using a coupled subsurface-land surface process model and GRACE, MODIS products. Water Resources Research , 50 (9), 7359-7377. https://doi.org/10.1002/2014WR015589 · DOI
  42. Pan, M., Wood, E. F., McLaughlin, D. B., Entekhabi, D., & Luo, L. (2009). A Multiscale Ensemble Filtering System for Hydrologic Data Assimilation. Part I: Implementation and Synthetic Experiment. Journal of Hydrometeorology , 10 (3), 794-806. https://doi.org/10.1175/2009JHM1088.1 · DOI
  43. Reager, J. T., Thomas, A., Sproles, E., Rodell, M., Beaudoing, H., Li, B., & Famiglietti, J. (2015). Assimilation of GRACE Terrestrial Water Storage Observations into a Land Surface Model for the Assessment of Regional Flood Potential. Remote Sensing , 7 (12), 14663-14679. https://doi.org/10.3390/rs71114663 · DOI
  44. Santosa, F., & Symes, W. W. (1986). Linear Inversion of Band-Limited Reflection Seismograms. SIAM Journal on Scientific and Statistical Computing , 7 (4), 1307-1330. https://doi.org/10.1137/0907087 · DOI
  45. Schmidhuber, J. (2015). Deep learning in neural networks: An overview. Neural Networks , 61 , 85-117. https://doi.org/10.1016/j.neunet.2014.09.003 · DOI · Paper page
  46. Shen, C. (2018). A trans-disciplinary review of deep learning research and its relevance for water resources scientists. Water Resources Research , 54 (11), 8558-8593. https://doi.org/10.1029/2018WR022643 · DOI
  47. Shen, C., & Phanikumar, M. S. (2010). A process-based, distributed hydrologic model based on a largescale method for surface-subsurface coupling. Advances in Water Resources , 33 (12), 1524-1541. https://doi.org/10.1016/j.advwatres.2010.09.002 · DOI
  48. Shen, C., Niu, J., & Phanikumar, M. S. (2013). Evaluating controls on coupled hydrologic and vegetation dynamics in a humid continental climate watershed using a subsurface - land surface processes model. Water Resources Research , 49 (5), 2552-2572. https://doi.org/10.1002/wrcr.20189 · DOI
  49. Shen, C., Niu, J., & Fang, K. (2014). Quantifying the effects of data integration algorithms on the outcomes of a subsurface-land surface processes model. Environmental Modelling & Software , 59 , 146-161. https://doi.org/10.1016/j.envsoft.2014.05.006 · DOI
  50. Shen, C., Riley, W. J., Smithgall, K. M., Melack, J. M., & Fang, K. (2016). The fan of influence of streams and channel feedbacks to simulated land surface water and carbon dynamics. Water Resources Research , 52 (2), 880-902. https://doi.org/10.1002/2015WR018086 · DOI
  51. Shen, C., Laloy, E., Elshorbagy, A., Albert, A., Bales, J., Chang, F.-J., et al. (2018). HESS Opinions: Incubating deep-learning-powered hydrologic science advances as a community. Hydrology and Earth System Sciences , 22 (11), 5639-5656. https://doi.org/10.5194/hess-22-5639-2018 · DOI
  52. Sudriani, Y., Ridwansyah, I., & A Rustini, H. (2019). Long short term memory (LSTM) recurrent neural network (RNN) for discharge level prediction and forecast in Cimandiri river, Indonesia. IOP Conference Series: Earth and Environmental Science , 299 (1), 12037. https://doi.org/10.1088/17551315/299/1/012037 · DOI
  53. Swenson, S. (2012). GRACE monthly land water mass grids ASCII release 5.0. Retrieved January 15, 2016, from http://dx.doi.org/10.5067/TELND-TX005 · DOI
  54. Vogel, R. M., & Kroll, C. N. (1996). Estimation of baseflow recession constants. Water Resources Management , 10 (4), 303-320. https://doi.org/10.1007/BF00508898 · DOI
  55. Vrugt, J. A., Gupta, H. V., Nualláin, B., Bouten, W., Vrugt, J. A., Gupta, H. V., et al. (2006). Real-Time Data Assimilation for Operational Ensemble Streamflow Forecasting. Journal of Hydrometeorology , 7 (3), 548-565. https://doi.org/10.1175/JHM504.1 · DOI
  56. Wang, W.-C., Chau, K.-W., Cheng, C.-T., & Qiu, L. (2009). A comparison of performance of several artificial intelligence methods for forecasting monthly discharge time series. Journal of Hydrology , 374 (3-4), 294-306. https://doi.org/10.1016/J.JHYDROL.2009.06.019 · DOI
  57. Wood, A. W., & Schaake, J. C. (2008). Correcting Errors in Streamflow Forecast Ensemble Mean and Spread. Journal of Hydrometeorology , 9 (1), 132-148. https://doi.org/10.1175/2007JHM862.1 · DOI
  58. Woods, R. A. (2009). Analytical model of seasonal climate impacts on snow hydrology: Continuous snowpacks. Advances in Water Resources , 32 (10), 1465-1481. https://doi.org/10.1016/j.advwatres.2009.06.011 · DOI
  59. Yilmaz, K. K., Gupta, H. V., & Wagener, T. (2008). A process-based diagnostic approach to model evaluation: Application to the NWS distributed hydrologic model. Water Resources Research , 44 (9). https://doi.org/10.1029/2007WR006716 · DOI
  60. Zaitchik, B. F., Rodell, M., & Reichle, R. H. (2008). Assimilation of GRACE Terrestrial Water Storage Data into a Land Surface Model: Results for the Mississippi River Basin. Journal of Hydrometeorology , 9 (3), 535-548. https://doi.org/10.1175/2007JHM951.1 · DOI
  61. Zhang, J., Zhu, Y., Zhang, X., Ye, M., & Yang, J. (2018). Developing a Long Short-Term Memory (LSTM) based model for predicting water table depth in agricultural areas. Journal of Hydrology , 561 , 918929. https://doi.org/10.1016/J.JHYDROL.2018.04.065 · DOI

Cited by

Sorted by citations

Authors
Feng, D., Fang, K., & Shen, C.
Affiliations
Pennsylvania State University (US)
Corresponding author
Shen, Chaopeng
Venue
Water Resources Research
Published
2020-09
Volume
56
Issue
9
ISSN
  • 0043-1397 (ISSN-L)
  • 1944-7973
OpenAlex
W3038342057
Cited by
633
References
3
Citations by year
2026: 121 · 2025: 125 · 2024: 128 · 2023: 102 · 2022: 98 · 2021: 49 · 2020: 10
FWCI
22.62
Type
journal article
Language
en
Open access
Locations
  • Water Resources Research (publishedVersion)
  • arXiv (Cornell University) (submittedVersion, other-oa)
  • OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information) (submittedVersion, other-oa)
  • OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information) (submittedVersion)
  • arXiv (Cornell University)
Funders
  • National Science Foundation (EAR#1832294)
  • U.S. Department of Energy (DE‐SC0016605)
Topics
  • Physical Sciences › Environmental Science › Environmental Engineering › Hydrological Forecasting Using AI
  • Physical Sciences › Environmental Science › Water Science and Technology › Hydrology and Watershed Management Studies
  • Social Sciences › Decision Sciences › Management Science and Operations Research › Stock Market Forecasting Methods
Keywords
streamflow forecasting, long short-term memory networks, data integration, continental-scale hydrology, peak flow estimation, snow-dominated basins, flash floods, arid basins, prairie potholes, Great Lakes Basin

About these checks

Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.

Statistics and arithmetic are recomputed, not judged.

Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.

What counts as a claim ›How we measure confidence ›How we check this ›

Are you an author, or do you see a problem with this page? Request a review