Dépôt numérique

Quantile Regression in Regional Frequency Analysis: A Better Exploitation of the Available Information.

Ouali, Dhouha; Chebana, Fateh ORCID logoORCID: https://orcid.org/0000-0002-3329-8179 et Ouarda, Taha B. M. J. ORCID logoORCID: https://orcid.org/0000-0002-0969-063X (2016). Quantile Regression in Regional Frequency Analysis: A Better Exploitation of the Available Information. Journal of Hydrometeorology , vol. 17 , nº 6. pp. 1869-1883. DOI: 10.1175/JHM-D-15-0187.1.

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Classical regression models are widely used in hydrological regional frequency analysis (RFA) in order to provide quantile estimates at ungauged sites given physio-meteorological information. Since classical regression-based methods only provide the conditional mean of the response variable, estimated at-site quantiles at gauged sites are commonly used to calibrate the regression models in RFA. Generally, only at-site quantiles estimated with long data records are retained for the calibration and the evaluation steps, whereas hydrological information from stations with few data is ignored. In addition, even if the at-site quantiles are estimated with long data series, they are always subject to model selection and parameter estimation. Hence, their use for the calibration of the RFA models may induce significant uncertainties in the modeled relationships. The aim of this paper is to propose a quantile regression (QR) model that gives directly the conditional quantile for RFA and avoids using at-site estimated quantiles in the calibration step. The proposed model presents another advantage where all the available hydrological information can be used in the calibration step including stations with very short data records. An evaluation criterion using observed data is also proposed in a cross-validation procedure. The proposed QR model is applied on a dataset representing 151 hydrometric stations from the province of Quebec and compared with a classical regression model. According to the proposed evaluation criterion, the QR is shown to be a viable model for regional estimations. Indeed, the proposed model proved to be robust and flexible, allowing for consideration of all the region’s sites, even those with extremely short flood records.

Type de document: Article
Mots-clés libres: calibration; frequency analysis; hydrological response; numerical model; raingauge; regression analysis; uncertainty analysis
Centre: Centre Eau Terre Environnement
Date de dépôt: 04 mai 2018 14:02
Dernière modification: 21 févr. 2022 17:26
URI: https://espace.inrs.ca/id/eprint/5711

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