Cross-validation of bias-corrected climate simulations is misleading

<p>We demonstrate both analytically and with a modelling example that cross-validation of free-running bias-corrected climate change simulations against observations is misleading. The underlying reasoning is as follows: a cross-validation can have in principle two outcomes. A negative (in...

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Main Authors: D. Maraun, M. Widmann
Format: Article
Language:English
Published: Copernicus Publications 2018-09-01
Series:Hydrology and Earth System Sciences
Online Access:https://www.hydrol-earth-syst-sci.net/22/4867/2018/hess-22-4867-2018.pdf
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author D. Maraun
M. Widmann
author_facet D. Maraun
M. Widmann
author_sort D. Maraun
collection DOAJ
description <p>We demonstrate both analytically and with a modelling example that cross-validation of free-running bias-corrected climate change simulations against observations is misleading. The underlying reasoning is as follows: a cross-validation can have in principle two outcomes. A negative (in the sense of not rejecting a null hypothesis), if the residual bias in the validation period after bias correction vanishes; and a positive, if the residual bias in the validation period after bias correction is large. It can be shown analytically that the residual bias depends solely on the difference between the simulated and observed change between calibration and validation periods. This change, however, depends mainly on the realizations of internal variability in the observations and climate model. As a consequence, the outcome of a cross-validation is also dominated by internal variability, and does not allow for any conclusion about the sensibility of a bias correction. In particular, a sensible bias correction may be rejected (false positive) and a non-sensible bias correction may be accepted (false negative). We therefore propose to avoid cross-validation when evaluating bias correction of free-running bias-corrected climate change simulations against observations. Instead, one should evaluate non-calibrated temporal, spatial and process-based aspects.</p>
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spelling doaj.art-b77f3206f1ec4ed7853bf392dcb1bcd22022-12-22T01:29:29ZengCopernicus PublicationsHydrology and Earth System Sciences1027-56061607-79382018-09-01224867487310.5194/hess-22-4867-2018Cross-validation of bias-corrected climate simulations is misleadingD. Maraun0M. Widmann1Wegener Center for Climate and Global Change, University of Graz, Brandhofgasse 5, 8010 Graz, AustriaSchool of Geography, Earth and Environmental Sciences, University of Birmingham, Birmingham, B15 2TT, UK<p>We demonstrate both analytically and with a modelling example that cross-validation of free-running bias-corrected climate change simulations against observations is misleading. The underlying reasoning is as follows: a cross-validation can have in principle two outcomes. A negative (in the sense of not rejecting a null hypothesis), if the residual bias in the validation period after bias correction vanishes; and a positive, if the residual bias in the validation period after bias correction is large. It can be shown analytically that the residual bias depends solely on the difference between the simulated and observed change between calibration and validation periods. This change, however, depends mainly on the realizations of internal variability in the observations and climate model. As a consequence, the outcome of a cross-validation is also dominated by internal variability, and does not allow for any conclusion about the sensibility of a bias correction. In particular, a sensible bias correction may be rejected (false positive) and a non-sensible bias correction may be accepted (false negative). We therefore propose to avoid cross-validation when evaluating bias correction of free-running bias-corrected climate change simulations against observations. Instead, one should evaluate non-calibrated temporal, spatial and process-based aspects.</p>https://www.hydrol-earth-syst-sci.net/22/4867/2018/hess-22-4867-2018.pdf
spellingShingle D. Maraun
M. Widmann
Cross-validation of bias-corrected climate simulations is misleading
Hydrology and Earth System Sciences
title Cross-validation of bias-corrected climate simulations is misleading
title_full Cross-validation of bias-corrected climate simulations is misleading
title_fullStr Cross-validation of bias-corrected climate simulations is misleading
title_full_unstemmed Cross-validation of bias-corrected climate simulations is misleading
title_short Cross-validation of bias-corrected climate simulations is misleading
title_sort cross validation of bias corrected climate simulations is misleading
url https://www.hydrol-earth-syst-sci.net/22/4867/2018/hess-22-4867-2018.pdf
work_keys_str_mv AT dmaraun crossvalidationofbiascorrectedclimatesimulationsismisleading
AT mwidmann crossvalidationofbiascorrectedclimatesimulationsismisleading