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Verification of Medium- to Long-Range Hydrological Forecasts

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Abstract

Hydrological forecasting is crucial for hydropower production and risk management related to extreme events. Since uncertainty cannot be eliminated from such a process, forecasts should be probabilistic in nature, taking the form of probability distributions over future events. However, verification tools adapted to probabilistic hydrological forecasting have only been recently considered. How can such forecasts be verified accurately? In this chapter a simple theoretical framework proposed by Gneiting et al. (2007) is employed to provide a formal guidance to verify probabilistic forecasts. Some strategies and scoring rules used to measure the performance of hydrological forecasting systems, namely, Hydro-Québec, are presented. Monte Carlo simulation experiments and applications to a real archive of operational medium-range forecasts are also presented. An experiment is finally performed to evaluate long-range hydrological forecasts in a decisional perspective, by employing hydrological forecasts in a stochastic midterm planning model designed for optimizing electricity production. Future research perspectives and operational challenges on diagnostic approaches for hydrological probabilistic forecasts are given.

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References

  • L. Alfieri, F. Pappenberger, F. Wetterhall, T. Haiden, D. Richardson, P. Salamon, Evaluation of ensemble streamflow predictions in Europe. J. Hydrol. 517, 913–922 (2014)

    Article  Google Scholar 

  • J.E. Bickel, Some comparisons among quadratic, spherical, and logarithmic scoring rules. Decis. Anal. 4, 49–65 (2007)

    Article  Google Scholar 

  • R.B. Birge, F. Louveaux, Introduction to Stochastic Programming. Springer Series in Operations Research (Springer, New York, 1997)

    Google Scholar 

  • J. Bröcker, L.A. Smith, Scoring probabilistic forecasts: the importance of being proper. Weather Forecast. 22, 382–388 (2007)

    Article  Google Scholar 

  • J.D. Brown, M. He, S. Regonda, L. Wu, H. Lee, D.J. Seo, Verification of temperature, precipitation, and streamflow forecasts from the NOAA/NWS hydrologic ensemble forecast service (HEFS): 2 streamflow verification. J. Hydrol. 519, 2847–2868 (2014)

    Article  Google Scholar 

  • H.L. Cloke, F. Pappenberger, Ensemble flood forecasting: a review. J. Hydrol. 375, 613–626 (2009)

    Article  Google Scholar 

  • A.P. Dawid, Present position and potential developments: some personal views: statistical theory: the prequential approach. J. R. Stat. Soc. Ser. A 147, 278–292 (1984)

    Article  Google Scholar 

  • G. Day, Extended streamflow forecasting using NWSRFS. J. Water Resour. Plan. Manag. 111, 157–170 (1985)

    Article  Google Scholar 

  • P. Friederichs, T. Thorarinsdottir, Forecast verification scores for extreme value distributions with an application to peak wind prediction. Environ. Sci. Technol. 23, 579–594 (2012)

    Google Scholar 

  • C. Genest, A.-C. Favre, Everything you always wanted to know about copula modeling but were afraid to ask. J. Hydrol. Eng. 12, 347–368 (2007)

    Article  Google Scholar 

  • T. Gneiting, A.E. Raftery, Strictly proper scoring rules, prediction, and estimation. J. Am. Stat. Assoc. 102, 359–378 (2007)

    Article  Google Scholar 

  • T. Gneiting, F. Balabdaoui, A.E. Raftery, Probabilistic forecasts, calibration and sharpness. Journal of the Royal Statistical Society Series B: Statistical Methodology 69, 243–268 (2007)

    Google Scholar 

  • T. Gneiting, L.I. Stanberry, E.P. Grimit, L. Held, N.A. Johnson, Assessing probabilistic forecasts of multivariate quantities, with applications to ensemble predictions of surface winds. Test 17, 211–235 (2008)

    Article  Google Scholar 

  • T.Gneiting, R. Ranjan, Comparing density forecasts using threshold- and quantile-weighted scoring rules. Jounal of Business & Economic Statistics 29, 411–422 (2011)

    Google Scholar 

  • P.J. Huber, Robust Statistics (Wiley, New York, 1981)

    Book  Google Scholar 

  • V.R. Jose, A characterization for the spherical scoring rule. Theor. Decis. 66, 263–281 (2009)

    Article  Google Scholar 

  • R. Krzysztofowicz, The case for probabilistic forecasting in hydrology. J. Hydrol. 249, 2–9 (2001)

    Article  Google Scholar 

  • P. Naveau, R. de Fondeville, D. Cooley, H. Benveniste et al., Scores (CRPS), inference and extremes. Séminaire Statistique des Sommets de Rochebrune, 30 Mar–4 Apr 2014

    Google Scholar 

  • L. Perreault, Vérification de prévisions hydrologiques probabilistes – Version 2. Technical Report IREQ-2013-0149, Institut de recherche d’Hydro-Québec (2013)

    Google Scholar 

  • L. Perreault, R. Garçon, J. Gaudet, Modelling hydrologic time series using regime switching models and measures of atmospheric circulation. La Houille Blanche 6, 111–123 (2007)

    Article  Google Scholar 

  • P. Pinson, J. Tastu, Discrimination Ability of the Energy Score. Technical Report, Technical University of Denmark (2013)

    Google Scholar 

  • C. Robert, G. Casella, Monte Carlo Statistical Methods (Springer, New York, 2000)

    Google Scholar 

  • M. Scheuerer, T.M. Hamill, Variogram-based proper scoring rules for probabilistic forecasts of multivariate quantities. Mon. Weather Rev. 143, 1321–1334 (2015)

    Article  Google Scholar 

  • R. Selten, Axiomatic characterization of the quadratic scoring rule. Exp. Econ. 1, 43–62 (1998)

    Article  Google Scholar 

  • O.G.B. Sveinsson, U. Lall, V. Fortin, L. Perreault, J. Gaudet, S. Zebiak, Y. Kushnir, Forecasting spring reservoir inflows in Churchill Falls basin in Quebec Canada. J. Hydrol. Eng. 13, 426–437 (2008)

    Article  Google Scholar 

  • M. Taillardat, O. Mestre, M. Zamo, P. Naveau, Calibrated ensemble forecasts using quantile regression forests and ensemble model output statistics. Mon Weather Rev, 144, 2375–2393 (2016)

    Google Scholar 

  • M. Taillardat, Méthodes Non-Paramétriques de Post-Traitement des Prévisions d’Ensemble. PhD Thesis (2017)

    Google Scholar 

  • F. Weber, L. Perreault, V. et Fortin, Measuring the performance of hydrological forecasts for hydropower production at BC Hydro and Hydro-Québec, in Proceeding of the 18th Conference on Climate Variability and Change, AMS, Atlanta, 30 Jan–2 Feb 2006

    Google Scholar 

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Correspondence to Luc Perreault , Jocelyn Gaudet , Louis Delorme or Simon Chatelain .

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Perreault, L., Gaudet, J., Delorme, L., Chatelain, S. (2018). Verification of Medium- to Long-Range Hydrological Forecasts. In: Duan, Q., Pappenberger, F., Thielen, J., Wood, A., Cloke, H., Schaake, J. (eds) Handbook of Hydrometeorological Ensemble Forecasting. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-40457-3_6-2

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  • DOI: https://doi.org/10.1007/978-3-642-40457-3_6-2

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-40457-3

  • Online ISBN: 978-3-642-40457-3

  • eBook Packages: Springer Reference Earth and Environm. ScienceReference Module Physical and Materials ScienceReference Module Earth and Environmental Sciences

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Chapter history

  1. Latest

    Verification of Medium- to Long-Range Hydrological Forecasts
    Published:
    14 February 2018

    DOI: https://doi.org/10.1007/978-3-642-40457-3_6-2

  2. Original

    Verification of Medium- to Long-Range Hydrological Forecasts
    Published:
    11 December 2016

    DOI: https://doi.org/10.1007/978-3-642-40457-3_6-1