Technical Papers
Dec 10, 2021

Identifying the Influence of Systematic Errors in Potential Evapotranspiration on Rainfall–Runoff Models

Publication: Journal of Hydrologic Engineering
Volume 27, Issue 2

Abstract

This study attempts to identify a threshold in the bias of potential evapotranspiration (PET) forcing data beyond which output from hydrological models will be significantly impacted. The sensitivity of a widely used conceptual rainfall–runoff model to systematic errors in PET inputs is investigated for a sample of 57 US catchments across energy- and water-limited regions. PET forcing data are biased by a constant factor ranging from ±5% to ±25%. The sensitivity of hydrologic models to PET data quality was found to be primarily driven by the long-term ratio of actual evapotranspiration (AET) to PET of catchments, which determines the energy availability of catchments. Energy-limited catchments were more sensitive to PET errors than water-limited catchments, and the PET error threshold was found to decrease along the water- to energy-limited continuum. Moreover, model performance of rainfall–runoff models was found to be more sensitive to negative PET biases than to positive PET biases. In practice, this means negatively biased PET causes catchments to artificially shift toward energy limitation, resulting in higher model sensitivity. Given the decreasing pattern of PET error threshold in catchments along the water- to energy-limited continuum, energy availability of catchments can be used as a predictor for the requirements of accuracy in PET data for conceptual hydrological models.

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Data Availability Statement

The data that support the findings of this study are openly available through the National Oceanic and Atmospheric Administration’s Model Parameter Estimation Experiment (MOPEX) at ftp://hydrology.nws.noaa.gov/pub/gcip/mopex/US_Data/. Models or code that support the findings of this study are available from the corresponding author upon reasonable request.

Acknowledgments

Funding for this research was provided through a graduate scholarship from Clarkson University awarded to D. I. Jayathilake.

References

Andréassian, V., C. Perrin, and C. Michel. 2004. “Impact of imperfect potential evapotranspiration knowledge on the efficiency and parameters of watershed models.” J. Hydrol. 286 (1–4): 19–35. https://doi.org/10.1016/j.jhydrol.2003.09.030.
Bergström, S. 1992. The HBV model: Its structure and applications. Norrköping, Sweden: Swedish Meteorological and Hydrological Institute.
Budyko, M. I. 1974. Vol. 18 of Climate and life: International Geophysics Series. Edited by D. H. Miller, 508. New York: Academic Press.
Carmona, A. M., M. Sivapalan, M. A. Yaeger, and G. Poveda. 2014. “Regional patterns of interannual variability of catchment water balances across the continental U.S.: A Budyko framework.” Water Resour. Res. 50 (12): 9177–9193. https://doi.org/10.1002/2014WR016013.
Duan, Q., et al. 2006. “Model parameter estimation experiment (MOPEX): An overview of science strategy and major results from the second and third workshops.” J. Hydrol. 320 (1–2): 3–17. https://doi.org/10.1016/j.jhydrol.2005.07.031.
Falcone, J. A. 2011. GAGES-II: Geospatial attributes of gages for evaluating streamflow. Washington, DC: USGS.
Gerrits, A. M. J., H. H. G. Savenije, E. J. M. Veling, and L. Pfister. 2009. “Analytical derivation of the Budyko curve based on rainfall characteristics and a simple evaporation model.” Water Resour. Res. 45 (4): W04403. https://doi.org/10.1029/2008WR007308.
Gupta, H. V., H. Kling, K. K. Yilmaz, and G. F. Martinez. 2009. “Decomposition of the mean squared error and NSE performance criteria: Implications for improving hydrological modelling.” J. Hydrol. 377 (1–2): 80–91. https://doi.org/10.1016/j.jhydrol.2009.08.003.
Hargreaves, G. H., and Z. A. Samani. 1985. “Reference crop evapotranspiration from temperature.” Appl. Eng. Agric. 1 (2): 96–99. https://doi.org/10.13031/2013.26773.
Jayathilake, D. I., and T. Smith. 2020. “Assessing the impact of PET estimation methods on hydrologic model performance.” Hydrol. Res. 52 (2): 373–388. https://doi.org/10.2166/nh.2020.066.
Klemeš, V. 1986. “Operational testing of hydrological simulation models.” Hydrol. Sci. J. 31 (1): 13–24. https://doi.org/10.1080/02626668609491024.
Kollat, J. B., P. M. Reed, and T. Wagener. 2012. “When are multiobjective calibration trade-offs in hydrologic models meaningful?” Water Resour. Res. 48 (3): W03520. https://doi.org/10.1029/2011WR011534.
McMahon, T. A., M. C. Peel, L. Lowe, R. Srikanthan, and T. R. McVicar. 2013. “Estimating actual, potential, reference crop and pan evaporation using standard meteorological data: A pragmatic synthesis.” Hydrol. Earth Syst. Sci. 17 (4): 1331–1363. https://doi.org/10.5194/hess-17-1331-2013.
Nandakumar, N., and R. G. Mein. 1997. “Uncertainty in rainfall-runoff model simulations and the implications for predicting the hydrologic effects of land-use change.” J. Hydrol. 192 (1–4): 211–232. https://doi.org/10.1016/S0022-1694(96)03106-X.
Oudin, L., C. Michel, and F. Anctil. 2005. “Which potential evapotranspiration input for a lumped rainfall-runoff model? Part 1—Can rainfall-runoff models effectively handle detailed potential evapotranspiration inputs?” J. Hydrol. 303 (1–4): 275–289. https://doi.org/10.1016/j.jhydrol.2004.08.025.
Oudin, L., C. Perrin, T. Mathevet, V. Andréassian, and C. Michel. 2006. “Impact of biased and randomly corrupted inputs on the efficiency and the parameters of watershed models.” J. Hydrol. 320 (1–2): 62–83. https://doi.org/10.1016/j.jhydrol.2005.07.016.
Parmele, L. H. 1972. “Errors in output of hydrologic models due to errors in input potential evapotranspiration.” Water Resour. Res. 8 (2): 348–359. https://doi.org/10.1029/WR008i002p00348.
Paturel, J. E., E. Servat, and A. Vassiliadis. 1995. “Sensitivity of conceptual rainfall-runoff algorithms to errors in input data—Case of the GR2M model.” J. Hydrol. 168 (1–4): 111–125. https://doi.org/10.1016/0022-1694(94)02654-T.
Razavi, S., and H. V. Gupta. 2016a. “A new framework for comprehensive, robust, and efficient global sensitivity analysis: 1. Theory.” Water Resour. Res. 52 (1): 423–439. https://doi.org/10.1002/2015WR017558.
Razavi, S., and H. V. Gupta. 2016b. “A new framework for comprehensive, robust, and efficient global sensitivity analysis: 2. Application.” Water Resour. Res. 52 (1): 440–455. https://doi.org/10.1002/2015WR017559.
Samain, B., and V. R. N. Pauwels. 2013. “Impact of potential and (scintillometer-based) actual evapotranspiration estimates on the performance of a lumped rainfall-runoff model.” Hydrol. Earth Syst. Sci. 17 (11): 4525–4540. https://doi.org/10.5194/hess-17-4525-2013.
Shahidian, S., R. Serralheiro, J. Serrano, J. L. Teixeira, N. Haie, and F. Santos. 2012. “Hargreaves and other reduced-set methods for calculating evapotranspiration.” In Vol. 23 of Evapotranspiration—Remote sensing and modelling, 50–80. London: InTech. https://doi.org/10.5772/18059.
Spies, R. R., K. J. Franz, T. S. Hogue, and A. L. Bowman. 2015. “Distributed hydrologic modeling using satellite-derived potential evapotranspiration.” J. Hydrometeorol. 16 (1): 129–146. https://doi.org/10.1175/JHM-D-14-0047.1.
Steele-Dunne, S., P. Lynch, R. McGrath, T. Semmler, S. Wang, J. Hanafin, and P. Nolan. 2008. “The impacts of climate change on hydrology in Ireland.” J. Hydrol. 356 (1–2): 28–45. https://doi.org/10.1016/j.jhydrol.2008.03.025.
Wang, D., and M. Hejazi. 2011. “Quantifying the relative contribution of the climate and direct human impacts on mean annual streamflow in the contiguous United States.” Water Resour. Res. 47 (9): W00J12. https://doi.org/10.1029/2010WR010283.

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Go to Journal of Hydrologic Engineering
Journal of Hydrologic Engineering
Volume 27Issue 2February 2022

History

Received: Dec 29, 2020
Accepted: Oct 29, 2021
Published online: Dec 10, 2021
Published in print: Feb 1, 2022
Discussion open until: May 10, 2022

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Authors

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Adjunct Faculty, Dept. of Physical and Environmental Sciences, Texas A&M Univ.-Corpus Christi, Corpus Christi, TX 78412 (corresponding author). ORCID: https://orcid.org/0000-0002-2793-6285. Email: [email protected]
Associate Professor, Dept. of Civil and Environmental Engineering, Clarkson Univ., Potsdam, NY 13699. ORCID: https://orcid.org/0000-0002-4152-8288

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