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Evaluating bias-adjusted climate data for extreme heat metrics in agricultural applications

Published online by Cambridge University Press:  28 October 2026

Muhammad Taky Tahmid*
Affiliation:
Environmental Economics, University of Delaware , USA

Abstract

Bias adjustment is standard preprocessing for climate model output used in crop-impact and damage-assessment work. Most validation studies still emphasize mean temperature, even though agricultural applications often depend on nonlinear heat metrics built from daily extremes. We evaluate how bias adjustment propagates into Extreme Degree Day (EDD) metrics, which crop-yield and damage functions use to summarize heat stress above specified temperature cutoffs. Using ERA5 reanalysis as reference, we compare EDD from raw and bias-adjusted CMIP6 models (GFDL-ESM4, MPI-ESM1-2-HR, and EC-Earth3) across European ADM1 regions for 1994–2014. We compute EDD at seven thresholds (0, 4, 8, 12, 28, 30, and 32 °C), aggregate it with harvested-area weights for seven crops under rainfed and irrigated management, and sum it over crop-specific phenological windows. Bias adjustment reduces mean absolute error at low and moderate thresholds (EDD $ \le $ 12 °C) by 37–86 °C$ \cdot $days at EDD-0 and 29–64 °C$ \cdot $days at EDD-8. At extreme thresholds (EDD $ \ge $ 28 °C), $ \Delta $Skill is small on average (1–4 °C$ \cdot $days at EDD-28), and bias adjustment increases error in about 40% of evaluated combinations. The split between helpful and unhelpful bias adjustment follows the EDD threshold more closely than model identity, which has implications for impact studies that treat bias-adjusted data as uniformly preferable.

Information

Type
Application Paper
Creative Commons
Creative Common License - CCCreative Common License - BY
This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (http://creativecommons.org/licenses/by/4.0), which permits unrestricted re-use, distribution and reproduction, provided the original article is properly cited.
Copyright
© The Author(s), 2026. Published by Cambridge University Press
Figure 0

Figure 1. Analysis workflow. Daily temperature from ERA5, raw CMIP6, and bias-adjusted CMIP6 is converted to EDD at seven thresholds, aggregated to ADM1 units using harvested-area weights, subset and summed by crop phenological calendar, and evaluated against ERA5 using MAE/Δ$ \Delta $Skill and distributional diagnostics.Figure 1. Long description.

Figure 1

Figure 2. Mean ∆Skill (MAE improvement, °C⋅$ \cdot $days) with ±$ \pm $1 SD shading across crops, ADM1 regions, irrigation types, and phenological periods. Positive values mean bias adjustment lowers error relative to raw CMIP6. Only region–crop–management units with a valid calendar window and harvested-area support in all three data sources are included.Figure 2. Long description.

Figure 2

Figure 3. Δ$ \Delta $Skill at EDD-8 across European ADM1 regions for the three models, averaged across crops, irrigation types, and phenological periods. Blue: bias adjustment lowers MAE; red: bias adjustment raises MAE. Only region–crop–management units with a valid calendar window and harvested-area support in all three data sources are included.Figure 3. Long description.

Figure 3

Figure 4. Distributional diagnostics versus ERA5. (A) Quantile errors at Q90 and Q95. (B) Tail mean error in the top 10% of the ERA5 distribution. At EDD ≥$ \ge $ 28 °C, absolute errors are small because high-threshold EDD is rare, not because the tail is well reproduced; tail-mean error is larger after bias adjustment for EC-Earth3 and MPI-ESM1-2-HR.Figure 4. Long description.

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Author comment: Evaluating bias-adjusted climate data for extreme heat metrics in agricultural applications — R0/PR1

Comments

Dear Editors,

Please consider my manuscript, “Evaluating Bias-Adjusted Climate Data for Extreme Heat Metrics in Agricultural Applications,” for publication as an Application Paper in Environmental Data Science.

This article evaluates whether bias adjustment improves Extreme Degree Day metrics derived from CMIP6 climate-model output for agricultural applications. Using ERA5 as a reference, the analysis compares raw and bias-adjusted projections across seven temperature thresholds, seven crops, multiple climate models, and European ADM1 regions. The results show substantial improvements at low and moderate thresholds but only small gains at extreme thresholds, demonstrating the importance of validating climate inputs against the specific nonlinear metrics used in impact studies.

The article is part of the Climate Informatics 2026 proceedings and was accepted for publication in Environmental Data Science on the basis of the Climate Informatics peer-review process. The submitted version incorporates necessary corrections and minor formatting updates. A marked-up manuscript is included to identify changes made following the conference version.

The manuscript is original, is not under consideration elsewhere, and has not been published previously, except as part of the Climate Informatics conference process. I have no competing interests to declare. Data and code supporting the analysis are publicly available through the repositories identified in the manuscript.

Thank you for considering this submission.

Sincerely,

Muhammad Taky Tahmid

School of Marine Science and Policy

University of Delaware

Newark, Delaware, USA

Recommendation: Evaluating bias-adjusted climate data for extreme heat metrics in agricultural applications — R0/PR2

Comments

Accepted in EDS on the strength of the CI 2026 review process.

Decision: Evaluating bias-adjusted climate data for extreme heat metrics in agricultural applications — R0/PR3

Comments

No accompanying comment.