A combined wavelet analysis-quantile mapping (WA-QM) method for bias correction: capturing the intra-annual temporal patterns in climate model precipitation simulations and projections

Despite recent improvements, global climate models (GCMs) still have biases that prevent their direct application. Quantile mapping (QM) has been widely used in bias correction (BC) due to its effectiveness in aligning the cumulative density function of climate model data with observations. However,...

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Main Authors: Xia Wu, Zhu Liu, Qingyun Duan
Format: Article
Language:English
Published: IOP Publishing 2025-01-01
Series:Environmental Research Letters
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Online Access:https://doi.org/10.1088/1748-9326/adae23
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author Xia Wu
Zhu Liu
Qingyun Duan
author_facet Xia Wu
Zhu Liu
Qingyun Duan
author_sort Xia Wu
collection DOAJ
description Despite recent improvements, global climate models (GCMs) still have biases that prevent their direct application. Quantile mapping (QM) has been widely used in bias correction (BC) due to its effectiveness in aligning the cumulative density function of climate model data with observations. However, QM has a significant limitation: it fails to consider the temporal correspondence between the model data and observations, which restricts its ability to represent intra-annual temporal patterns. To address this issue, this study integrated wavelet analysis (WA) into QM to develop a combined method termed WA-QM, which aimed to preserve QM’s efficacy in overall BC and preservation of climate change signals, while capturing the intra-annual temporal patterns. The effectiveness of WA-QM was investigated using monthly precipitation data from five Coupled Model Intercomparison Project Phase 6 models in the Pan Third Pole region, which includes Central Asia (CA), Southeast Asia, and the Tibetan Plateau. Quantile delta mapping (QDM) and scaled distribution mapping (SDM) served as the benchmark methods for assessment. The results indicated that integrating WA into QDM or SDM did not compromise the ability of QDM or SDM to correct overall biases and preserve the model’s climate change signal. Furthermore, WA could be an effective tool to overcome QM’s limitation in capturing intra-annual temporal patterns. The WA approach employed discrete wavelet transformation to decompose GCM data into various frequency bands and then adjusted their standard deviations and signs to ensure that their relative relationships were consistent with those in observations. Compared to the standalone QM approach, WA-QM showed greater accuracy in monthly statistical metrics. In the CA region, WA-SDM reduced the monthly root mean square error of the mean by 25.2%, the standard deviation by 17.6%, and the 90th percentile by 26.7% compared to SDM. The effectiveness of WA-QM was demonstrated across different data periods, spatial areas, and GCMs.
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spelling doaj-art-925da543e73f4207ab1f0e03a3a8a53f2025-02-04T08:28:02ZengIOP PublishingEnvironmental Research Letters1748-93262025-01-0120202404910.1088/1748-9326/adae23A combined wavelet analysis-quantile mapping (WA-QM) method for bias correction: capturing the intra-annual temporal patterns in climate model precipitation simulations and projectionsXia Wu0https://orcid.org/0000-0001-7451-4838Zhu Liu1https://orcid.org/0000-0001-9426-985XQingyun Duan2https://orcid.org/0000-0001-9955-1512The National Key Laboratory of Water Disaster Prevention, Hohai University , Nanjing 210098, People’s Republic of China; College of Hydrology and Water Resources, Hohai University , Nanjing 210098, People’s Republic of China; China Meteorological Administration Hydro-Meteorology Key Laboratory, Hohai University , Nanjing 210098, People’s Republic of ChinaThe National Key Laboratory of Water Disaster Prevention, Hohai University , Nanjing 210098, People’s Republic of China; College of Hydrology and Water Resources, Hohai University , Nanjing 210098, People’s Republic of China; China Meteorological Administration Hydro-Meteorology Key Laboratory, Hohai University , Nanjing 210098, People’s Republic of ChinaThe National Key Laboratory of Water Disaster Prevention, Hohai University , Nanjing 210098, People’s Republic of China; College of Hydrology and Water Resources, Hohai University , Nanjing 210098, People’s Republic of China; China Meteorological Administration Hydro-Meteorology Key Laboratory, Hohai University , Nanjing 210098, People’s Republic of ChinaDespite recent improvements, global climate models (GCMs) still have biases that prevent their direct application. Quantile mapping (QM) has been widely used in bias correction (BC) due to its effectiveness in aligning the cumulative density function of climate model data with observations. However, QM has a significant limitation: it fails to consider the temporal correspondence between the model data and observations, which restricts its ability to represent intra-annual temporal patterns. To address this issue, this study integrated wavelet analysis (WA) into QM to develop a combined method termed WA-QM, which aimed to preserve QM’s efficacy in overall BC and preservation of climate change signals, while capturing the intra-annual temporal patterns. The effectiveness of WA-QM was investigated using monthly precipitation data from five Coupled Model Intercomparison Project Phase 6 models in the Pan Third Pole region, which includes Central Asia (CA), Southeast Asia, and the Tibetan Plateau. Quantile delta mapping (QDM) and scaled distribution mapping (SDM) served as the benchmark methods for assessment. The results indicated that integrating WA into QDM or SDM did not compromise the ability of QDM or SDM to correct overall biases and preserve the model’s climate change signal. Furthermore, WA could be an effective tool to overcome QM’s limitation in capturing intra-annual temporal patterns. The WA approach employed discrete wavelet transformation to decompose GCM data into various frequency bands and then adjusted their standard deviations and signs to ensure that their relative relationships were consistent with those in observations. Compared to the standalone QM approach, WA-QM showed greater accuracy in monthly statistical metrics. In the CA region, WA-SDM reduced the monthly root mean square error of the mean by 25.2%, the standard deviation by 17.6%, and the 90th percentile by 26.7% compared to SDM. The effectiveness of WA-QM was demonstrated across different data periods, spatial areas, and GCMs.https://doi.org/10.1088/1748-9326/adae23bias correctionCMIP6temporal patternsclimate changewavelet analysisquantile mapping
spellingShingle Xia Wu
Zhu Liu
Qingyun Duan
A combined wavelet analysis-quantile mapping (WA-QM) method for bias correction: capturing the intra-annual temporal patterns in climate model precipitation simulations and projections
Environmental Research Letters
bias correction
CMIP6
temporal patterns
climate change
wavelet analysis
quantile mapping
title A combined wavelet analysis-quantile mapping (WA-QM) method for bias correction: capturing the intra-annual temporal patterns in climate model precipitation simulations and projections
title_full A combined wavelet analysis-quantile mapping (WA-QM) method for bias correction: capturing the intra-annual temporal patterns in climate model precipitation simulations and projections
title_fullStr A combined wavelet analysis-quantile mapping (WA-QM) method for bias correction: capturing the intra-annual temporal patterns in climate model precipitation simulations and projections
title_full_unstemmed A combined wavelet analysis-quantile mapping (WA-QM) method for bias correction: capturing the intra-annual temporal patterns in climate model precipitation simulations and projections
title_short A combined wavelet analysis-quantile mapping (WA-QM) method for bias correction: capturing the intra-annual temporal patterns in climate model precipitation simulations and projections
title_sort combined wavelet analysis quantile mapping wa qm method for bias correction capturing the intra annual temporal patterns in climate model precipitation simulations and projections
topic bias correction
CMIP6
temporal patterns
climate change
wavelet analysis
quantile mapping
url https://doi.org/10.1088/1748-9326/adae23
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