Comparison of the Performance of Different Analog-Based Bayesian Probabilistic Precipitation Forecasts over Bilbao, Spain

Alejandro Fernández-Ferrero Consorcio de Aguas Bilbao Bizkaia, Bilbao, Spain

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Jon Sáenz Department of Applied Physics II, University of the Basque Country, Bilbao, Spain

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Gabriel Ibarra-Berastegi Department of Nuclear Engineering and Fluid Mechanics, University of the Basque Country, Bilbao, Spain

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Abstract

This study evaluates the performance of different analog-based downscaling models for probabilistic quantitative precipitation forecasts over the metropolitan area of Bilbao, Spain. The analog-based statistical downscaling models used are a probability of the exceedance models in which the probability is derived from the probabilities given by a set of analogs and three Bayesian models. Results show that the differences in the performance of the models are subtle. The simplest model, which makes no use of Bayesian methods, performs better than the other models in the forecast of very low precipitation events, very likely due to the quality of the found analogs, since these categories are very populated in the phase space and forecast is very easy. However, as precipitation rates increase, Bayesian models perform better than the simple one based on probability of exceedance from individual analogs. The Bayesian models involving precipitation in the computation of the likelihood show in general the smallest biases in the forecast versus observed probabilities.

Corresponding author address: Alejandro Fernández-Ferrero, Consorcio de Aguas Bilbao Bizkaia, C/San Vicente 8-Edif. Albia, 48001 Bilbao, Spain. Email: alejandrof@consorciodeaguas.com

Abstract

This study evaluates the performance of different analog-based downscaling models for probabilistic quantitative precipitation forecasts over the metropolitan area of Bilbao, Spain. The analog-based statistical downscaling models used are a probability of the exceedance models in which the probability is derived from the probabilities given by a set of analogs and three Bayesian models. Results show that the differences in the performance of the models are subtle. The simplest model, which makes no use of Bayesian methods, performs better than the other models in the forecast of very low precipitation events, very likely due to the quality of the found analogs, since these categories are very populated in the phase space and forecast is very easy. However, as precipitation rates increase, Bayesian models perform better than the simple one based on probability of exceedance from individual analogs. The Bayesian models involving precipitation in the computation of the likelihood show in general the smallest biases in the forecast versus observed probabilities.

Corresponding author address: Alejandro Fernández-Ferrero, Consorcio de Aguas Bilbao Bizkaia, C/San Vicente 8-Edif. Albia, 48001 Bilbao, Spain. Email: alejandrof@consorciodeaguas.com

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