Biased trend amplification ratios in CMIP6 models

Abstract Ratios of linear trends are used to measure amplification ratios for warming and cooling rates in atmospheric layers relative to the surface. This metric is informative as it reveals a fundamental characteristic of the model physics. Excess amplification in CMIP5 model low-latitude regions has previously been noted in the context of excess warming in the tropical troposphere. Determining the statistical significance of the differences in amplification rates is a nontrivial problem. Vogelsang and Nawaz 1 derived confidence intervals for a single trend ratio robust to general forms of autocorrelation and Vogelsang 2 generalized it to the multivariate case. We apply the method to the CMIP6 model archive to test whether amplification rates over 1958–2024 hindcasts are significantly different from observations over the tropics. The results show that CMIP6 models continue to overestimate the warming amplification rate vertically through the 850–100 hPa range. Trend ratios match better in the lower stratosphere. We discuss possible explanations, including potential excess moistening rates under upper atmospheric warming in models.

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Publication Details

Journal
Scientific Reports
Published
2026-09-29
DOI
https://doi.org/10.1038/s41598-026-73624-2
Primary Topic
Climate variability and models
Type
article
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article

Biased trend amplification ratios in CMIP6 models

Roy W. Spencer, John R. Christy, Ross McKitrick, Timothy J. Vogelsang
Scientific Reports
Climate variability and models
article

Biased trend amplification ratios in CMIP6 models

Roy W. Spencer, John R. Christy, Ross McKitrick, Timothy J. Vogelsang
article en

Abstract

Abstract Ratios of linear trends are used to measure amplification ratios for warming and cooling rates in atmospheric layers relative to the surface. This metric is informative as it reveals a fundamental characteristic of the model physics. Excess amplification in CMIP5 model low-latitude regions has previously been noted in the context of excess warming in the tropical troposphere. Determining the statistical significance of the differences in amplification rates is a nontrivial problem. Vogelsang and Nawaz 1 derived confidence intervals for a single trend ratio robust to general forms of autocorrelation and Vogelsang 2 generalized it to the multivariate case. We apply the method to the CMIP6 model archive to test whether amplification rates over 1958–2024 hindcasts are significantly different from observations over the tropics. The results show that CMIP6 models continue to overestimate the warming amplification rate vertically through the 850–100 hPa range. Trend ratios match better in the lower stratosphere. We discuss possible explanations, including potential excess moistening rates under upper atmospheric warming in models.

Scientific Reports
University of Guelph (CA), University of Alabama in Huntsville (US), Michigan State University (US)
Openalex Percentile: Top 14%
Climate variability and models
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Biased trend amplification ratios in CMIP6 models — Roy W. Spencer, John R. Christy, et al. · Scientific Reports (2026) | TGRS Research Map | TGRS