A Weighting Scheme in A Multi-Model Ensemble for Bias-Corrected Climate Simulation

A model weighting scheme is important in multi-model climate ensembles for projecting future changes. The climate model output typically needs to be bias corrected before it can be used. When a bias-correction (BC) is applied, equal model weights are usually derived because some BC methods cause the...

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Main Authors: Yonggwan Shin, Youngsaeng Lee, Jeong-Soo Park
Format: Article
Language:English
Published: MDPI AG 2020-07-01
Series:Atmosphere
Subjects:
Online Access:https://www.mdpi.com/2073-4433/11/8/775
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author Yonggwan Shin
Youngsaeng Lee
Jeong-Soo Park
author_facet Yonggwan Shin
Youngsaeng Lee
Jeong-Soo Park
author_sort Yonggwan Shin
collection DOAJ
description A model weighting scheme is important in multi-model climate ensembles for projecting future changes. The climate model output typically needs to be bias corrected before it can be used. When a bias-correction (BC) is applied, equal model weights are usually derived because some BC methods cause the observations and historical simulation to match perfectly. This equal weighting is sometimes criticized because it does not take into account the model performance. Unequal weights reflecting model performance may be obtained from raw data before BC is applied. However, we have observed that certain models produce excessively high weights, while the weights generated in all other models are extremely low. This phenomenon may be partly due to the fact that some models are more fit or calibrated to the observations for a given applications. To address these problems, we consider, in this study, a hybrid weighting scheme including both equal and unequal weights. The proposed approach applies an “imperfect” correction to the historical data in computing their weights, while it applies ordinary BC to the future data in computing the ensemble prediction. We employ a quantile mapping method for the BC and a Bayesian model averaging for performance-based weighting. Furthermore, techniques for selecting the optimal correction rate based on the chi-square test statistic and the continuous ranked probability score are examined. Comparisons with ordinary ensembles are provided using a perfect model test. The usefulness of the proposed method is illustrated using the annual maximum daily precipitation as observed in the Korean peninsula and simulated by 21 models from the Coupled Model Intercomparison Project Phase 6.
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spelling doaj.art-afb20c80a37d46608a89fb551d393c482023-11-20T07:38:28ZengMDPI AGAtmosphere2073-44332020-07-0111877510.3390/atmos11080775A Weighting Scheme in A Multi-Model Ensemble for Bias-Corrected Climate SimulationYonggwan Shin0Youngsaeng Lee1Jeong-Soo Park2Department of Statistics, Chonnam National University, Gwangju 500-757, KoreaDepartment of Statistics, Chonnam National University, Gwangju 500-757, KoreaDepartment of Statistics, Chonnam National University, Gwangju 500-757, KoreaA model weighting scheme is important in multi-model climate ensembles for projecting future changes. The climate model output typically needs to be bias corrected before it can be used. When a bias-correction (BC) is applied, equal model weights are usually derived because some BC methods cause the observations and historical simulation to match perfectly. This equal weighting is sometimes criticized because it does not take into account the model performance. Unequal weights reflecting model performance may be obtained from raw data before BC is applied. However, we have observed that certain models produce excessively high weights, while the weights generated in all other models are extremely low. This phenomenon may be partly due to the fact that some models are more fit or calibrated to the observations for a given applications. To address these problems, we consider, in this study, a hybrid weighting scheme including both equal and unequal weights. The proposed approach applies an “imperfect” correction to the historical data in computing their weights, while it applies ordinary BC to the future data in computing the ensemble prediction. We employ a quantile mapping method for the BC and a Bayesian model averaging for performance-based weighting. Furthermore, techniques for selecting the optimal correction rate based on the chi-square test statistic and the continuous ranked probability score are examined. Comparisons with ordinary ensembles are provided using a perfect model test. The usefulness of the proposed method is illustrated using the annual maximum daily precipitation as observed in the Korean peninsula and simulated by 21 models from the Coupled Model Intercomparison Project Phase 6.https://www.mdpi.com/2073-4433/11/8/775α-correctionα-weightsclimate changegeneralized extreme value distributionL-moments estimationleave-one-out cross-validation
spellingShingle Yonggwan Shin
Youngsaeng Lee
Jeong-Soo Park
A Weighting Scheme in A Multi-Model Ensemble for Bias-Corrected Climate Simulation
Atmosphere
α-correction
α-weights
climate change
generalized extreme value distribution
L-moments estimation
leave-one-out cross-validation
title A Weighting Scheme in A Multi-Model Ensemble for Bias-Corrected Climate Simulation
title_full A Weighting Scheme in A Multi-Model Ensemble for Bias-Corrected Climate Simulation
title_fullStr A Weighting Scheme in A Multi-Model Ensemble for Bias-Corrected Climate Simulation
title_full_unstemmed A Weighting Scheme in A Multi-Model Ensemble for Bias-Corrected Climate Simulation
title_short A Weighting Scheme in A Multi-Model Ensemble for Bias-Corrected Climate Simulation
title_sort weighting scheme in a multi model ensemble for bias corrected climate simulation
topic α-correction
α-weights
climate change
generalized extreme value distribution
L-moments estimation
leave-one-out cross-validation
url https://www.mdpi.com/2073-4433/11/8/775
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