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Scalable, adaptive and risk-informed design of hydrological sensor networks

Abstract

Stream monitoring networks are essential for understanding and managing Earth’s water resources, yet their deployment is rarely coordinated at the system scale to meet these objectives. We present a data-driven framework for the design of streamflow monitoring networks that improves hydrological predictions while also accommodating socio-environmental constraints. This approach uses a rank-revealing QR decomposition to isolate monitoring sites that best capture the spatiotemporal structure of hydrological time series obtained from retrospective simulations. Evaluated using 44 years of reanalysis data, we find that our sensor placement approach enables better reconstructions of streamflow at ungauged locations compared with existing methods. Our approach accommodates incremental expansion of existing gauge networks and integrates operational priorities, such as flood risk, without compromising the accuracy of hydrological predictions. Demonstrated across diverse hydrological regimes, this framework provides a scalable and robust method for gauge network design that will empower water managers to make more informed decisions.

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Fig. 1: Comparison of the streamflow reconstruction performance of our framework and various benchmarks.
Fig. 2: Analysis of sensor rankings and their relationships with hydrological and physical attributes.
Fig. 3: Network expansion analysis for sensor placement.
Fig. 4: Integration of flood risk into sensor placement framework and its impact on distribution and accuracy.
Fig. 5: Model-agnostic sensor network planning demonstrated across diverse hydrological settings.
Fig. 6: Overview of sensor placement approach.

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Data availability

The data sources accessed for this study include the National Water Model Retrospective Dataset (https://registry.opendata.aws/nwm-archive/), GloFAS (https://doi.org/10.24381/cds.a4fdd6b9), the USGS gauge inventory (https://doi.org/10.5066/P9J5CK2Y), CAMELS-BR (https://doi.org/10.5281/zenodo.3964745) and Bangladesh Water Development Board (http://www.hydrology.bwdb.gov.bd/index.php?pagetitle=discharge). Accessed geographic datasets include USGS National Hydrography Dataset Plus v2.1 (https://www.usgs.gov/national-hydrography/national-hydrography-dataset), FEMA National Risk Index (https://hazards.fema.gov/nri/data-resources), PRISM climate data (https://prism.oregonstate.edu/) and SEDAC population density data (https://data.ghg.center/browseui/index.html#sedac-popdensity-yeargrid5yr-v4.11/).

Code availability

The code is available at https://github.com/future-water/hydrological-sensor-network-design.

References

  1. Ruhi, A., Messager, M. L. & Olden, J. D. Tracking the pulse of the Earth’s fresh waters. Nat. Sustain. 1, 198–203 (2018).

    Google Scholar 

  2. Tetzlaff, D., Carey, S. K., McNamara, J. P., Laudon, H. & Soulsby, C. The essential value of long-term experimental data for hydrology and water management. Water Resour. Res. 53, 2598–2604 (2017).

    Google Scholar 

  3. Hannah, D. M. et al. Large-scale river flow archives: importance, current status and future needs. Hydrol. Process. 25, 1191–1200 (2011).

    Google Scholar 

  4. Vano, J. A. et al. Hydroclimatic extremes as challenges for the water management community: lessons from Oroville Dam and Hurricane Harvey. Bull. Am. Meteorol. Soc. 100, 9–14 (2019).

    Google Scholar 

  5. Hester, G., Ford, D., Carsell, K., Vertucci, C. & Stallings, E. Flood Management Benefits of USGS Streamgaging Program (National Hydrologic Warning Council, 2006).

  6. Milly, P. C. et al. Stationarity is dead: whither water management? Science 319, 573–574 (2008).

    CAS  PubMed  Google Scholar 

  7. Willner, S. N., Levermann, A., Zhao, F. & Frieler, K. Adaptation required to preserve future high-end river flood risk at present levels. Sci. Adv. 4, 1914 (2018).

    Google Scholar 

  8. A New Evaluation of the USGS Streamgaging Network (US Geological Survey, 1998); https://doi.org/10.3133/70039493

  9. Normand, A. E. US Geological Survey (USGS) Streamgaging Network: Overview and Issues for Congress (Congressional Research Service, 2021).

  10. Bartos, M., Wong, B. & Kerkez, B. Open storm: a complete framework for sensing and control of urban watersheds. Environ. Sci. Water Res. Technol. 4, 346–358 (2018).

    Google Scholar 

  11. Schmidt, J. Q. & Kerkez, B. Machine learning-assisted, process-based quality control for detecting compromised environmental sensors. Environ. Sci. Technol. 57, 18058–18066 (2023).

    CAS  PubMed  Google Scholar 

  12. Langhorst, T. et al. Increased scale and accessibility of sediment transport research in rivers through practical, open-source turbidity and depth sensors. Nat. Water 1, 760–768 (2023).

    Google Scholar 

  13. Kim, Y., Oh, J. & Bartos, M. Stormwater digital twin with online quality control detects urban flood hazards under uncertainty. Sustain. Cities Soc. 118, 105982 (2025).

  14. Clark, E., Askham, T., Brunton, S. L. & Kutz, J. N. Greedy sensor placement with cost constraints. IEEE Sens. J. 19, 2642–2656 (2018).

    Google Scholar 

  15. Chacon-Hurtado, J. C., Alfonso, L. & Solomatine, D. P. Rainfall and streamflow sensor network design: a review of applications, classification, and a proposed framework. Hydrol. Earth Syst. Sci. 21, 3071–3091 (2017).

    Google Scholar 

  16. Habib, E. et al. A stakeholder-driven approach for enhancing streamflow monitoring networks in Louisiana, USA. J. Am. Water Resour. Assoc. 61, 70007 (2025).

    Google Scholar 

  17. Grimaldi, S. et al. Optimizing sensor location for the parsimonious design of flood early warning systems. J. Hydrol. X 24, 100182 (2024).

    Google Scholar 

  18. Andrews, L. & Grantham, T. E. Strategic stream gauging network design for sustainable water management. Nat. Sustain. 7, 714–723 (2024).

  19. McManamay, R. A., Bevelhimer, M. S. & Frimpong, E. A. Associations among hydrologic classifications and fish traits to support environmental flow standards. Ecohydrology 8, 460–479 (2015).

    Google Scholar 

  20. Mishra, A. K. & Coulibaly, P. Developments in hydrometric network design: a review. Rev. Geophys. 47, RG2001 (2009).

    Google Scholar 

  21. Singh, K. P., Ramamurthy, G. S. & Terstriep, M. L. Illinois Streamgaging Network Program: Related Studies and Results Miscellaneous Publication 94 (ISWS, 1986).

  22. Davar, Z. K. & Brimley, W. A. Hydrometric network evaluation: audit approach. J. Water Resour. Plan. Manage. 116, 134–146 (1990).

    Google Scholar 

  23. Maddock, T. III An optimum reduction of gauges to meet data program constraints. Hydrol. Sci. J. 19, 337–345 (1974).

    Google Scholar 

  24. Tarboton, D. G., Bras, R. L. & Puente, C. E. Combined hydrologic sampling criteria for rainfall and streamflow. J. Hydrol. 95, 323–339 (1987).

    Google Scholar 

  25. Alfonso, L., Lobbrecht, A. & Price, R. Optimization of water level monitoring network in polder systems using information theory. Water Resour. Res. 46, W12553 (2010).

    Google Scholar 

  26. Li, C., Singh, V. P. & Mishra, A. K. Entropy theory-based criterion for hydrometric network evaluation and design: maximum information minimum redundancy. Water Resour. Res. 48, W05521 (2012).

    Google Scholar 

  27. Konrad, C. P. & Anderson, S. W. A general approach for evaluating of the coverage, resolution, and representation of streamflow monitoring networks. Environ. Monit. Assess. 195, 1256 (2023).

    PubMed  PubMed Central  Google Scholar 

  28. Bartos, M. & Kerkez, B. Observability-based sensor placement improves contaminant tracing in river networks. Water Resour. Res. 57, 2020–029551 (2021).

    Google Scholar 

  29. Farahmand, H., Liu, X., Dong, S., Mostafavi, A. & Gao, J. A network observability framework for sensor placement in flood control networks to improve flood situational awareness and risk management. Reliab. Eng. Syst. Saf. 221, 108366 (2022).

    Google Scholar 

  30. Sarker, S., Veremyev, A., Boginski, V. & Singh, A. Critical nodes in river networks. Scientific reports 9, 11178 (2019).

    PubMed  PubMed Central  Google Scholar 

  31. Durighetto, N., Noto, S., Tauro, F., Grimaldi, S. & Botter, G. Integrating spatially- and temporally-heterogeneous data on river network dynamics using graph theory. iscience 26, 107417 (2023).

    PubMed  PubMed Central  Google Scholar 

  32. Tien, I., Lozano, J.-M. & Chavan, A. Locating real-time water level sensors in coastal communities to assess flood risk by optimizing across multiple objectives. Commun. Earth Environ. 4, 96 (2023).

    Google Scholar 

  33. Ogie, R. I., Shukla, N., Sedlar, F. & Holderness, T. Optimal placement of water-level sensors to facilitate data-driven management of hydrological infrastructure assets in coastal mega-cities of developing nations. Sustain. Cities Soc. 35, 385–395 (2017).

    Google Scholar 

  34. Telci, I. T., Nam, K., Guan, J. & Aral, M. M. Optimal water quality monitoring network design for river systems. J. Environ. Manage. 90, 2987–2998 (2009).

    PubMed  Google Scholar 

  35. Loucks, D. P. & Beek, E. In Water Resource Systems Modeling: Its Role in Planning and Management 51–72 (Springer, 2017).

  36. Cosgrove, B. et al. NOAA’s National Water Model: advancing operational hydrology through continental-scale modeling. J. Am. Water Resour. Assoc. 60, 247–272 (2024).

    Google Scholar 

  37. Fall, G. et al. The Office of Water Prediction’s Analysis of Record for Calibration, version 1.1: dataset description and precipitation evaluation. J. Am. Water Resour. Assoc. 59, 1246–1272 (2023).

    Google Scholar 

  38. Grimaldi, S. et al. River Discharge and Related Historical Data from the Global Flood Awareness System, v4.0 (European Commission, Joint Research Centre, accessed 20 December 2024); https://doi.org/10.24381/cds.a4fdd6b9

  39. Hayes, L., Chase, K., Wieczorek, M. & Jackson, S. USGS Streamgages in the Conterminous United States Indexed to NHDPlus v2.1 Flowlines to Support Streamgage Watershed InforMation (SWIM), 2021 (US Geological Survey, accessed 23 June 2025); https://doi.org/10.5066/P9J5CK2Y

  40. US Geological Survey (USGS) and US Environmental Protection Agency (EPA). National Hydrography Dataset Plus (NHDPlus), https://www.epa.gov/waterdata/nhdplus-national-hydrography-dataset-plus (2012).

  41. Zuzak, C. et al. National Risk Index Technical Documentation (Federal Emergency Management Agency, 2021).

  42. Chagas, V. B. et al. CAMELS-BR: hydrometeorological time series and landscape attributes for 897 catchments in Brazil. Earth Syst. Sci. Data 12, 2075–2096 (2020).

    Google Scholar 

  43. Discharge Station Metadata (Bangladesh Water Development Board, accessed 23 June 2025); http://www.hydrology.bwdb.gov.bd/index.php?pagetitle=discharge

  44. Gu, M. & Eisenstat, S. C. Efficient algorithms for computing a strong rank-revealing QR factorization. SIAM J. Sci. Comput. 17, 848–869 (1996).

    Google Scholar 

  45. Joshi, S. & Boyd, S. Sensor selection via convex optimization. IEEE Trans. Signal Process. 57, 451–462 (2008).

    Google Scholar 

  46. Krause, A., Singh, A. & Guestrin, C. Near-optimal sensor placements in Gaussian processes: theory, efficient algorithms and empirical studies. J. Mach. Learn. Res. 9, 235–284 (2008).

    Google Scholar 

  47. Bakhtyar, R. et al. A new 1D/2D coupled modeling approach for a riverine-estuarine system under storm events: application to Delaware River Basin. J. Geophys. Res. Oceans 125, 2019–015822 (2020).

    Google Scholar 

  48. Kim, H. & Villarini, G. Higher emissions scenarios lead to more extreme flooding in the United States. Nat. Commun. 15, 237 (2024).

    CAS  PubMed  PubMed Central  Google Scholar 

  49. Johnson, J. M. et al. Comprehensive analysis of the NOAA national water model: a call for heterogeneous formulations and diagnostic model selection. J. Geophys. Res. Atmos. 128, 2023–038534 (2023).

    Google Scholar 

  50. Timilsina, S. & Passalacqua, P. A comparative analysis of national water model versions 2.1 and 3.0 reveals advances and challenges in streamflow predictions during storm events. J. Hydrol. Reg. Stud. 58, 102196 (2025).

    Google Scholar 

  51. Frame, J. M. et al. Post-processing the National Water Model with long short-term memory networks for streamflow predictions and model diagnostics. J. Am. Water Resour. Assoc. 57, 885–905 (2021).

    Google Scholar 

  52. Zhong, Z., Hua, X., Zhai, Z. & Ma, M. A novel tensor-based modal decomposition method for reduced order modeling and optimal sparse sensor placement. Aerosp. Sci. Technol. 155, 109530 (2024).

    Google Scholar 

  53. Karnik, N. et al. Constrained optimization of sensor placement for nuclear digital twins. IEEE Sens. J. 24, 15501–15516 (2024).

    Google Scholar 

  54. Hart, J. K. & Martinez, K. Environmental Sensor Networks: a revolution in the earth system science? Earth Sci. Rev. 78, 177–191 (2006).

    Google Scholar 

  55. Krabbenhoft, C. A. et al. Assessing placement bias of the global river gauge network. Nat. Sustain. 5, 586–592 (2022).

    PubMed  PubMed Central  Google Scholar 

  56. Businger, P. & Golub, G. H. Linear least squares solutions by householder transformations. Numer. Math. 7, 269–276 (1965).

    Google Scholar 

  57. Drmač, Z. & Gugercin, S. A new selection operator for the discrete empirical interpolation method—improved a priori error bound and extensions. SIAM J. Sci. Comput. 38, 631–648 (2016).

    Google Scholar 

  58. Manohar, K., Brunton, B. W., Kutz, J. N. & Brunton, S. L. Data-driven sparse sensor placement for reconstruction: demonstrating the benefits of exploiting known patterns. IEEE Control Syst. Mag. 38, 63–86 (2018).

    Google Scholar 

  59. Nash, J. E. & Sutcliffe, J. V. River flow forecasting through conceptual models part I—a discussion of principles. J. Hydrol. 10, 282–290 (1970).

    Google Scholar 

  60. Nossent, J. & Bauwens, W. Application of a normalized Nash-Sutcliffe efficiency to improve the accuracy of the Sobol’ sensitivity analysis of a hydrological model. In European Geosciences Union General Assembly 237 (2012).

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Acknowledgements

J.O. was supported by a University Graduate Continuing Fellowship from the University of Texas at Austin.

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J.O. designed the study with input from M.B. J.O. performed the research and prepared the figures. J.O. and M.B. analysed the results and wrote the paper.

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Correspondence to Jeil Oh.

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Oh, J., Bartos, M. Scalable, adaptive and risk-informed design of hydrological sensor networks. Nat Water 3, 1144–1154 (2025). https://doi.org/10.1038/s44221-025-00496-7

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