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by Blanchet, J., Ceresetti, D., Molinié, G. and Creutin, J.-D.
Abstract:
We propose in this paper a regional formulation of Intensity–Duration–Frequency curves of point-rainfall maxima in a scale-invariant Generalized Extreme Value (GEV) framework. The two assumptions we make is that extreme daily rainfall is GEV-distributed – which is justified by Extreme Value Theory (EVT) – and that extremes of aggregated daily rainfall follow simple-scaling relationships. Following these assumptions, we develop in a unified way a GEV simple-scaling model for extremes of aggregated daily rainfall over the range of durations where scaling applies. Then we propose a way of correcting this model for measurement frequency, giving a new GEV-scaling model for extremes of aggregated hourly rainfall. This model deviates from the simple-scaling assumption. This framework is applied to the Mediterranean region of Cévennes-Vivarais, France. A network of about 300 daily raingage stations covering the last 50 years and accumulated to span the range 1 day–1 week is used to fit the scale invariant GEV-model locally. By means of spatial interpolation of the model parameters, and correction for measurement frequency, we are able to build a regional model with good performances down to 1 h duration, even though only one hourly station is used to build the model. Finally we produce mean and return level maps within the region in the range 1 h–1 week and comment on the potential rain storms leading to these maps.
Reference:
Blanchet, J., Ceresetti, D., Molinié, G. and Creutin, J.-D., 2016: A regional GEV scale-invariant framework for Intensity–Duration–Frequency analysisJournal of Hydrology, 540, 82-95.
Bibtex Entry:
@Article{Blanchet2016a,
  Title                    = {A regional GEV scale-invariant framework for Intensity–Duration–Frequency analysis},
  Author                   = {Blanchet, J. and Ceresetti, D. and Molinié, G. and Creutin, J.-D.},
  Journal                  = {Journal of Hydrology},
  Year                     = {2016},

  Month                    = {September},
  Pages                    = {82-95},
  Volume                   = {540},

  Abstract                 = {We propose in this paper a regional formulation of Intensity–Duration–Frequency curves of point-rainfall maxima in a scale-invariant Generalized Extreme Value (GEV) framework. The two assumptions we make is that extreme daily rainfall is GEV-distributed – which is justified by Extreme Value Theory (EVT) – and that extremes of aggregated daily rainfall follow simple-scaling relationships. Following these assumptions, we develop in a unified way a GEV simple-scaling model for extremes of aggregated daily rainfall over the range of durations where scaling applies. Then we propose a way of correcting this model for measurement frequency, giving a new GEV-scaling model for extremes of aggregated hourly rainfall. This model deviates from the simple-scaling assumption. This framework is applied to the Mediterranean region of Cévennes-Vivarais, France. A network of about 300 daily raingage stations covering the last 50 years and accumulated to span the range 1 day–1 week is used to fit the scale invariant GEV-model locally. By means of spatial interpolation of the model parameters, and correction for measurement frequency, we are able to build a regional model with good performances down to 1 h duration, even though only one hourly station is used to build the model. Finally we produce mean and return level maps within the region in the range 1 h–1 week and comment on the potential rain storms leading to these maps.},
  Copublication            = {4: 3 Fr, 1 Sw},
  Doi                      = {10.1016/j.jhydrol.2016.06.007},
  Keywords                 = {Extreme rainfall; Scale invariance; Extreme value statistics; Measurement frequency;
Mediterranean region},
  Owner                    = {hymexw},
  Timestamp                = {2018.03.08},
  Url                      = {https://doi.org/10.1016/j.jhydrol.2016.06.007}
}