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Combining predictive distributions for the statistical post-processing of ensemble forecasts
Authors:Sándor Baran  Sebastian Lerch
Affiliation:1. Faculty of Informatics, University of Debrecen, Kassai út 26, H–4028 Debrecen, Hungary;2. Heidelberg Institute for Theoretical Studies, Schloss-Wolfsbrunnenweg 35, D-69118 Heidelberg, Germany;3. Institute for Stochastics, Karlsruhe Institute of Technology, Englerstraße 2, D-76128 Karlsruhe, Germany
Abstract:Statistical post-processing techniques are now used widely for correcting systematic biases and errors in the calibration of ensemble forecasts obtained from multiple runs of numerical weather prediction models. A standard approach is the ensemble model output statistics (EMOS) method, which results in a predictive distribution that is given by a single parametric law, with parameters that depend on the ensemble members. This article assesses the merits of combining multiple EMOS models based on different parametric families. In four case studies with wind speed and precipitation forecasts from two ensemble prediction systems, we investigate the performances of state of the art forecast combination methods and propose a computationally efficient approach for determining linear pool combination weights. We study the performance of forecast combination compared to that of the theoretically superior but cumbersome estimation of a full mixture model, and assess which degree of flexibility of the forecast combination approach yields the best practical results for post-processing applications.
Keywords:Combining forecasts  Comparative studies  Density forecasts  Ensemble model output statistics  Precipitation  Weather forecasting  Wind speed
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