Maria Rugenstein’s research while affiliated with Colorado State University and other places

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Publications (54)


Testing the CNN, the linear network and the Green's function on (a) a held‐back testing member from internal variability, (b) an out‐of‐distribution historical and RCP8.5 simulation, and (c) an out‐of‐distribution 1pctCO2 scenario. The legend in panel (b) holds across the other panels and the numbers in each panel refer to the coefficient of determination (r2 ${\mathrm{r}}^{2}$) and (in parenthesis) the root mean square error (RMSE), both averaged across 10 testing members (of which only one is shown in black).
Gradients of the CNN (a), the linear network (b), and the Green's function (c) showing the global‐mean response in R $R$ to local (sea) surface temperature variations (mWm−2K−1 ${\text{mWm}}^{-2}{\mathrm{K}}^{-1}$). Attribution (gradient times temperature) of the CNN (d), the linear network (e), and the Green's function (f) for the time mean of 1870–2100 (mWm−2 ${\text{mWm}}^{-2}$). Contribution of regions highlighted by boxes in panel (d–f) to the attribution as a function of time for the CNN (g), the linear network (h), and the Green's function (i).
Testing the performance of a CNN trained on four climate models simultaneously (a and b; equivalent to Figures 1a and 1b; the numbers in each panel refer to the coefficient of determination (r2 ${\mathrm{r}}^{2}$) and (in parenthesis) the root mean square error (RMSE), both averaged across 12 testing members of which only one is shown in black); time‐mean gradient of the across‐model‐CNN for 170 years of internal variability (c) and of 40 years experiencing climate change (d); the standard deviation across four CNNs trained on single climate model ensembles' internal variability (e); and the time‐mean gradient of a linear network trained across internal variability of four climate models (f, compare to c). Figure S5 in Supporting Information S1 shows the CNN and linear gradients for the four models separately. See text for details for training the different networks.
Convolutional Neural Networks Trained on Internal Variability Predict Forced Response of TOA Radiation by Learning the Pattern Effect
  • Article
  • Full-text available

February 2025

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34 Reads

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1 Citation

Maria Rugenstein

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Elizabeth A. Barnes

Plain Language Summary Ideally, we could use information from how radiation depends on global‐mean surface temperature and its spatial patterns over the last decades to predict radiation in the future. Radiation and surface temperature together result in radiative feedbacks which set the final response of the climate system to any external forcing, such as CO2 CO2{\text{CO}}_{2} or aerosols. Attempts over previous decades to link internal variability to the forced response of radiation have been only mildly successful. We develop a new approach, using convolutional neural networks, which are a data‐driven, nonlinear statistical tool, to predict global‐mean top of the atmosphere radiation from spatial patterns of surface temperature. This method can indeed predict radiation far into a future which has not been seen during training. The results are robust across climate models and pass physical plausibility tests.

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Reanalysis-based Global Radiative Response to Sea Surface Temperature Patterns: Evaluating the Ai2 Climate Emulator

February 2025

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28 Reads

The sensitivity of the radiative flux at the top of the atmosphere to surface temperature perturbations cannot be directly observed. The relationship between sea surface temperature and top-of-atmosphere radiation can be estimated with Green's function simulations by locally perturbing the sea surface temperature boundary conditions in atmospheric climate models. We perform such simulations with the Ai2 Climate Emulator (ACE), a machine learning-based emulator trained on ERA5 reanalysis data (ACE2-ERA5). This produces a sensitivity map of the top-of-atmosphere radiative response to surface warming that aligns with our physical understanding of radiative feedbacks. However, ACE2-ERA5 likely underestimates the radiative response to historical warming. We argue that Green's function experiments can be used to evaluate the performance and limitations of machine learning-based climate emulators by examining if causal physical relationships are correctly represented and testing their capability for out-of-distribution predictions.


Fig. 1. Radiative forcing derived from observations. Bottom panel shows radiation (, blue) predicted by the convolutional neural network from four observational surface temperature datasets (thin lines; thick line shows the average). Middle panel is the observed radiative imbalance (, black). Top panel shows the predicted radiative forcing ( = − , red), and the dotted red line is the best linear fit for 2001-2023. As a comparison, the thin black line shows the radiative forcing from Forster et al. (2024).
Observation-based estimate of Earth's effective radiative forcing

January 2025

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1 Citation

Human emissions continue to influence Earth's climate. Effective radiative forcing quantifies the effect of such anthropogenic emissions together with natural factors on Earth's energy balance (Soden et al. 2018; Gregory et al. 2020; Forster et al. 2021, 2024). Evaluating the exact rate of effective radiative forcing is challenging, because it can not be directly observed. Therefore, estimating the effective forcing usually relies heavily on climate models (Forster et al. 2024). Here, we present an estimate of effective radiative forcing that makes optimal use of observations. We use artificial intelligence to learn the relationship between surface temperature and radiation caused by internal variability in a multi-model ensemble. Combining this with observations of surface temperature and the Earth's net radiative imbalance (Loeb et al. 2018, 2021; NASA/LARC/SD/ASDC 2023), we predict an effective forcing trend of 0.72+-0.20 Wm^{-2} per decade for 2001-2023. Our method enables a new and independent assessment of the observed effective radiative forcing since 1985, that can be updated simultaneously with available observations. We make advances to close the Earth's energy budget on annual timescales, separating the influence of forcing versus the radiative response to surface temperature variations. Effective radiative forcing has substantially increased since 2021 and has not been countered by a strongly negative radiative response, consistent with an exceptionally warm year of 2023 and 2024.


Relationships between forced and unforced climate feedbacks. Each background shading zone corresponds to the feedback component indicated on the x‐axis. Bars indicate (institute‐weighted) inter‐model linear regression coefficients. Pale and dark shading indicate inter‐model regressions across the CMIP5 and CMIP6 ensembles, respectively. Gray, blue, and pink shading indicate inter‐model regressions against internal variability feedbacks using the full forced response (years 1–150), early forced response (years 1–20), and late forced response (years 21–150), respectively. Thin whiskers (thick whiskers) indicate the 95% (50%) uncertainty bounds for the regression coefficients according to two‐sided student's t‐tests.
Local contributions to inter‐model cloud feedback regressions and surface temperature change. The first and second columns indicate results for the CMIP5 and CMIP6 ensembles, respectively. The third column shows zonal‐average differences between the first two columns. The upper panels indicate spatial decompositions of the cloud radiative effect feedback regression coefficients from Figure 1. Global averages of the upper first column (a, d) and the upper second column (b, e) are equivalent to bars from Figures 1B and 1C (respectively). The first and second rows show decompositions for the early (year 0–20) and late (year 21–150) forced responses to quadrupled CO2, respectively. The lower panels indicate (institute‐weighted) average surface temperature change. The third row shows local temperature departures associated with internal variability in global‐average temperature (g, h). The fourth and fifth rows show local temperature departures from the global‐average early (i, j) and late (k, l) forced responses, respectively. Stippling indicates regions excluded from the spatial projections (see text).
Emergent constraints on forced climate feedbacks using observed internal variability. The top row indicates constraints on the forced cloud radiative effect feedback. The bottom row indicates constraints on the total (net) forced climate feedback. The columns indicate results for the CMIP5 and CMIP6 ensembles, respectively. Gray markers indicate forced and internal climate feedbacks for individual models. Gray lines and shading indicate (institute‐weighted) inter‐model linear regressions and their 95% uncertainty bounds. The size of each marker is proportional to its weight in the regression (see text). Blue lines and shading indicate the mean and t‐distributed 95% uncertainty bounds for the observational estimate of the corresponding internal variability feedback (see text). Pink lines and shading indicate the mean and 95% uncertainty bounds for the constrained estimate of the late forced climate feedback, accounting for both observational and regression uncertainty (see text). Horizontal gray dotted and dashed lines indicate (respectively) the mean and t‐distributed 95% uncertainty bounds for the unconstrained forced feedbacks (i.e., y‐coordinates of the gray markers). Lower right annotations indicate the percentage of (institute‐weighted) variance in the forced feedbacks explained by each regression (i.e., the coefficient of determination r2 ${r}^{2}$). Upper left annotations indicate the amount that each emergent constraint reduces inter‐model spread in the response (i.e., the pink shading width minus the distance between the dashed gray lines). Positive values indicate unsuccessful constraints and are highlighted with red. The darker bands of blue and pink shading indicate the uncertainty associated with equivalent observational feedbacks derived from a hypothetical 50‐year observing period instead of the true 292‐month (≈24‐year) period.
Links Between Internal Variability and Forced Climate Feedbacks: The Importance of Patterns of Temperature Variability and Change

December 2024

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60 Reads

Understanding the relationships between internal variability and forced climate feedbacks is key for using observations to constrain future climate change. Here we probe and interpret the differences in these relationships between the climate change projections provided by the CMIP5 and CMIP6 experiment ensembles. We find that internal variability feedbacks better predict forced feedbacks in CMIP6 relative to CMIP5 by over 50%, and that the increased predictability derives primarily from the slow (>20 years) response to climate change. A key novel result is that the increased predictability is consistent with the higher resemblance between the patterns of internal and forced temperature changes in CMIP6, which suggests temperature pattern effects play a key role in predicting forced climate feedbacks. Despite the increased predictability, emergent constraints provided by observed internal variability are weak and largely unchanged from CMIP5 to CMIP6 due to the shortness of the observational record.


(a) The observed 1979–2019 correlation between annual‐mean Southwestern United States (SWUS) precipitation (Global Precipitation Climatology Project) and sea surface temperature (SST; HadISST) at each grid point. (b) The simulated 1979–2019 correlation between annual‐mean SWUS precipitation (32°–40°N, 124°–105°W) and SST at each grid point in the MPI‐GE. Correlation is first calculated across 1979–2019 within each ensemble member and then the average of the ensemble is taken. (c) Correlation between the trends in SWUS precipitation and SST at each grid point for years 2050–2080 in the MPI‐GE Representative Concentration Pathway 8.5 (RCP8.5) scenario. The trend is first calculated within each ensemble member, and then the correlation is taken across the ensemble. The color bar in (c) applies to (a) and (b) as well. (d) Correlation between the trends in SWUS precipitation and Niño3.4 region (5°S–5°N, 170°–120°W) SST for different start and end years when calculating the trend. The small white box in (d) denotes the situation in panel (c).
(a) The annual‐mean SWUS precipitation response per unit sea surface temperature (SST) warming in each grid box. A warming in a green (brown) region on this map results in an increase (decrease) in precipitation over the SWUS. From the northernmost box going clockwise: the SWUS (32°–40°N, 124°–105°W), Caribbean region (0°–30°N, 107°–40°W), East Pacific region (28°S–1°N, 120°–71°W), and Central Pacific region (16°S–16°N, 175°E–140°W). (b) The SWUS precipitation response of the Green's function convolved with the MPI‐GE SST pattern (black) reproducing the SWUS precipitation output from the MPI‐GE historical and RCP8.5 simulations (gray). (c) The annual‐mean 500 mb geopotential height response averaged over the SWUS region per unit SST warming in each grid box.
(left) Effect of idealized redistribution of sea surface temperature (SST) on SWUS precipitation. SWUS precipitation anomaly from the 1850–1870 average: MPI‐GE historical and RCP8.5 projection ensemble‐mean (gray); MPI‐GE historical and RCP8.5 ensemble spread (±1σ; gray shading); (right) Effect of adjusting SST trends starting from observations. SWUS precipitation anomaly from the 1850–1870 average: MPI‐GE historical and RCP8.5 projection ensemble‐mean (gray; as in a, note different range in vertical axis); MPI‐GE historical and RCP8.5 ensemble spread (±1σ; gray shading); HadISST convolved with the SWUS GFP (black); precipitation response from transition SST scenarios starting from observed SST and ending with MPI‐GE RCP8.5 SST over 10 years (dark pink), 50 years (red) and 50 years with the trend in the Central Pacific replaced by the 1991–2021 observed trend (dashed red); observed 1991–2021 SST trend convolved with the regional precipitation GF extended through 2100 (dashed black). The SST trend for the 50‐year transition SST scenario (red) is plotted in the inset figure in units of K yr⁻¹.
Potential Near‐Term Wetting of the Southwestern United States if the Eastern and Central Pacific Cooling Trend Reverses

July 2024

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46 Reads

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1 Citation

Plain Language Summary Precipitation trends in the southwestern United States (SWUS) are sensitive to the pattern of sea surface temperature (SST) trends in the Tropical Pacific. Since the turn of the century, a decrease in SWUS precipitation has been linked to a cooling of the Central and Eastern Pacific (1990–2020). Notably, climate models are unable to simulate this observed cooling SST trend. In this study, we answer how SWUS precipitation projections may be impacted by potential error in the simulation of future SST trends by climate models. We first demonstrate that slight changes in the pattern of SST trends leads to either a wetting or drying of the SWUS. Second, if the current 30‐year cooling trend in the Central and East Pacific switches to a warming trend, the SWUS could experience a near‐term increase in precipitation. While climate models are the main tool to predict the global response to anthropogenic climate change, we must consider and account for their error in projections of global warming.


Contrasting fast and slow intertropical convergence zone migrations linked to delayed Southern Ocean warming

June 2024

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469 Reads

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6 Citations

Nature Climate Change

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Chao Li

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Migrations of the intertropical convergence zone (ITCZ) have significant impacts on tropical climate and society. Here we examine the ITCZ migration caused by CO2 increase using climate model simulations. During the first one to two decades, we find a northward ITCZ displacement primarily related to an anomalous southward atmospheric cross-equatorial energy transport. Over the next hundreds or thousands of years, the ITCZ moves south. This long-term migration is linked to delayed surface warming and reduced ocean heat uptake in the Southern Ocean, which alters the interhemispheric asymmetry of ocean heat uptake and creates a northward atmospheric cross-equatorial energy transport anomaly. The southward ITCZ shift, however, is reduced by changes in the net energy input to the atmosphere at the equator by about two-fifths. Our findings highlight the importance of Southern Ocean heat uptake to long-term ITCZ evolution by showing that the (quasi-)equilibrium ITCZ response is opposite to the transient ITCZ response.


Observed and simulated global‐mean radiation anomaly at TOA. (a)–(k) Annual‐mean CERES observations are shown in black and model simulations in color. The ensemble member with the maximum correlation coefficient to the observations (rmax) is depicted in gray and the ensemble member with the maximum 22‐yr trend (tmax) is highlighted in color. The observed 22‐yr trend is 0.46 ± 0.13 Wm⁻² dec⁻¹. The number of ensemble members is shown in the panel title. The triangle shows where the historical simulations are continued with the scenario simulations. The mean of the entire period is subtracted for observations and models. (l)–(m) Observed (black) and simulated (colored) 2001–2022 trends in (l) global mean TOA radiation and (m) global mean surface temperature. Each filled dot represents one ensemble member; black circles represent the ensemble mean. The vertical dashed line and gray shading shows the observed trend ±2 standard errors of the 22‐yr linear regression. Positive TOA radiation trends indicate an increasing uptake of energy into the climate system. See Table S1 in Supporting Information S1 for details on the model ensembles and for numerical values of correlation coefficients and trends.
Relationship between surface temperature and TOA radiation. (a) and (b) Discrepancy between each ensemble member and observed 2001–2022 trends averaged across models in a surface temperature and (b) TOA radiation. Black boxes frame regions of interest. Orthogonal regression across all ensemble members between (a) and (b) averaged for (c), the subtropical eastern Pacific (150°W–1100°W, 10°N–40°N), (d), the subtropical east Atlantic (30W°–10°W, 25°N–40°N) and (e), the West‐Pacific warm pool (90°E−180°E, 20°N–22°S) minus the entire Tropics (30°N–30°S). Individual ensemble members are shown as dots colored for each model as shown in the label bar in panel c. The multi‐model ensemble mean is shown as black filled dot. Pattern of the response bias of TOA radiation trends to observed surface temperature trends measured as the y‐intercept of the regression line at x = 0 (compare (c)–(e)) for (f) net TOA radiation, (g) TOA shortwave radiation and (h) TOA longwave radiation. Stippling highlights regions where the coefficient of determination is >0.25 and the regression coefficient is >1 Wm⁻² C⁻¹. The percentages indicate the global area for which the models overestimate (red) or underestimate (blue) the observed TOA radiation response to surface warming, and the number in black shows the magnitude of the global mean response bias in Wm⁻² dec⁻¹. Figures S8–S14 in Supporting Information S1 show results for individual models.
Relationship between response bias, λeff and EffCS. (a) Regression between the 2001–2022 response bias of global mean TOA radiation to surface warming and the simulated ensemble mean (large dots) and individual members of λeff (small dots) compared to the observational estimate (horizontal dashed line). (b) Regression between the 2001–2022 response bias of global mean TOA radiation to surface warming and EffCS. EffCS values are taken from Smith et al. (2021), Meehl et al. (2013) and Maher et al. (2019). The vertical dashed lines indicate no response bias. The coefficient of determination is shown in the top left. Regressions are ordinary least squares. Note that the response bias shown here corresponds to the global means of the maps shown in Figure S12 in Supporting Information S1.
Coupled Climate Models Systematically Underestimate Radiation Response to Surface Warming

March 2024

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103 Reads

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7 Citations

Plain Language Summary A realistic representation of the radiation balance at the top of the Earth’s atmosphere (TOA) by coupled climate models is essential for trust in future climate projections. Despite that relevance, it is still not clear whether the models correctly simulate the coupling between surface warming and TOA radiation because of the short observational record. We show that climate models systematically underestimate the observed increase in global TOA radiation during 2001–2022 in 552 simulations. Locally, even if a simulation reproduces observed changes in surface temperature, changes in TOA radiation are more likely under‐ than overestimated. This response bias stems from the models' inability to reproduce the observed large‐scale patterns of surface warming and from errors in the atmospheric physics which suppress the communication of the surface information to the TOA. Models that better represent the TOA radiation response to local surface warming have a relatively low equilibrium climate sensitivity, that is, a weak global‐mean surface warming in response to a doubling of the atmospheric CO2 concentration above pre‐industrial levels. Our new bias metric links a model’s current response to climate change to its behavior in the future.


The Green's Function Model Intercomparison Project (GFMIP) Protocol

February 2024

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109 Reads

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24 Citations

The atmospheric Green's function method is a technique for modeling the response of the atmosphere to changes in the spatial field of surface temperature. While early studies applied this method to changes in atmospheric circulation, it has also become an important tool to understand changes in radiative feedbacks due to evolving patterns of warming, a phenomenon called the “pattern effect.” To better study this method, this paper presents a protocol for creating atmospheric Green's functions to serve as the basis for a model intercomparison project, GFMIP. The protocol has been developed using a series of sensitivity tests performed with the HadAM3 atmosphere‐only general circulation model, along with existing and new simulations from other models. Our preliminary results have uncovered nonlinearities in the response of the atmosphere to surface temperature changes, including an asymmetrical response to warming versus cooling patch perturbations, and a change in the dependence of the response on the magnitude and size of the patches. These nonlinearities suggest that the pattern effect may depend on the heterogeneity of warming as well as its location. These experiments have also revealed tradeoffs in experimental design between patch size, perturbation strength, and the length of control and patch simulations. The protocol chosen on the basis of these experiments balances scientific utility with the simulation time and setup required by the Green's function approach. Running these simulations will further our understanding of many aspects of atmospheric response, from the pattern effect and radiative feedbacks to changes in circulation, cloudiness, and precipitation.


Global‐ and annual‐mean top‐of‐atmosphere radiative response (a), temperature response (b), and radiative feedback (c) per unit sea surface temperature warming in each grid box.
(a) Global‐mean surface temperature anomaly (ΔT) from the 2000–2010 average: HADCRUT5 observations (black), MPI‐ESM historical (1970–2006) and RCP8.5 projection (2006–2085) ensemble‐mean (dark gray), MPI‐ESM RCP8.5 ensemble spread (±2σ; top gray shading), WPcool scenario (dashed purple), EPcool scenario (dashed teal), SOcool scenario (dashed gold), equivalent warming scenarios (same colors, solid lines), and associated model spread WPcool and WPwarm when applied to each RCP8.5 ensemble member (top purple shading). The arrows represent the ensemble‐mean spread of ΔT in 2085 without (gray, 1.1 K) and with (purple, 2.0 K) sea surface temperature (SST) pattern uncertainty of the scenarios explored here. The MPI‐ESM RCP4.5 ensemble spread (bottom gray shading) and spread of WPcool and WPwarm when applied to each RCP4.5 ensemble member (bottom purple shading). The stars denote the last crossover year of RCP8.5 and RCP4.5 for internal variability without SST pattern uncertainty (left star; gray shadings) and for internal variability plus WPcool and WPwarm (right star; purple shadings). (b) Time series of the radiative feedback parameter (λ) with colors of lines and shading corresponding to those in (a) for RCP8.5, except the ensemble spread is ±1σ for visual clarity. λ based on observed SST patterns (black) ends in 2006 since it is calculated with a 30‐year sliding linear regression of GFR on GFT (see Figure S7 in Supporting Information S1).
(a) 2016–2021 HadISST observed sea surface temperature (SST) pattern anomaly from the MPI‐ESM preindustrial control (1850–1870) average (first year of transition period). (b) 2071–2076 MPI‐ESM RCP8.5 ensemble‐mean SST pattern anomaly from preindustrial control average (last year of transition period). (c) The 50‐year interpolated SST trend from (a) to (b). (d) The HadISST observed trend from 1991 to 2021. (e) Time series of the global‐mean temperature change from the 2001–2011 average: HADCRUT5 observations (black), MPI‐ESM historical and RCP8.5 ensemble‐mean (dark gray), transition scenario from observed SST to MPI‐ESM RCP8.5 SST of 10 years (light pink), 50 years (red), and 50 years with the trend in the tropical East Pacific replaced by the 1991–2021 observed trend (dashed red); observed SST trend convolved with the GFs from 1991 to 2021 extended through 2080 (dashed black). (e) inset, Probability density function (PDF) of heating rates for the MPI‐GE RCP8.5 ensemble (gray) and Transition50yr (red). The heating rates are calculated using a sliding window of 20‐year segments for 2015–2044 for each ensemble member. Each PDF consists of 1,000 data points since there are 10 heating rates for each ensemble member. (f) Time series of the radiative feedback parameter (λ) with colors the same as in (e), except including the MPI‐ESM RCP8.5 ± 1σ ensemble spread (gray shading in f). Note that a constant SST trend pattern produces a constant λ value (Transition50yr around 2035–2060).
Surface Temperature Pattern Scenarios Suggest Higher Warming Rates Than Current Projections

December 2023

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328 Reads

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12 Citations

Atmosphere‐ocean general circulation models (AOGCMs) struggle to reproduce recently observed sea surface temperature (SST) trend patterns. Here, we quantify the relevance of this SST pattern uncertainty to global‐mean temperature projections through convolving Green's functions with SST pattern scenarios that differ from the ones AOGCMs produce by themselves. We find that future SST pattern uncertainty has a significant impact on projections, such as increasing total model uncertainty by 40% in a high‐emissions scenario by 2085. A reversal of the current cooling trend in the East Pacific over the next few decades could lead to a period of global‐mean warming with a 60% higher rate than currently projected. SST pattern uncertainty works through a destabilization of the shortwave cloud feedback to affect temperature projections. It is critical for climate change impact, adaptation, and mitigation assessments to incorporate this previously unaccounted for uncertainty until we trust the evolution of SST patterns in AOGCMs.


Surface temperature trends of various lengths in the equatorial Pacific Ocean in observations and climate model large ensembles. (a) Mean of HadISST1, ERSSTv5, and COBE 1979–2020; (b) trend differences between the Eastern Equatorial Pacific (EEP, 5°S–5°N, 180°–80°W) and Western Equatorial Pacific (WEP, 5°S–5°N, 110°E−180°; boxes indicated in panel (a) in the mean of HadISST1, ERSSTv5, and COBE for any trend longer than 18 years between 1950 and 2020; (c) Number of models for which the observations fall outside ±2 standard deviations of the model mean. See Table S1 in Supporting Information S1 for model names and number of ensemble members. Letters indicate previous studies coming to different conclusions about the discrepancy between models and observations. Circles indicate the periods shown in Figure 2. Figure S2a in Supporting Information S1 overlays panel (c) on (b).
Least‐square linear regression of Effective Climate Sensitivity against the difference of the observed gradient changes within the simulated range for each large ensemble (ϕ) for two 25‐year trends (b and c). Histograms for both periods show the fitted normal distribution of SST trends used to determine ϕ of two model ensembles for illustration (panel a and d). See Figure S2b in Supporting Information S1 for the multi‐model mean value of ϕ for all time periods and trend lengths and Figure S4 in Supporting Information S1 for the coefficient of determination and regression slope for all time periods and trend lengths. The coefficient of determination for a regression without the outlier CESM2 is 0.63 for 1970–1995 an 0.45 for 1990–2015.
Connecting the SST Pattern Problem and the Hot Model Problem

November 2023

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343 Reads

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14 Citations

In the equatorial and subtropical east Pacific Ocean, strong ocean‐atmosphere coupling results in large‐amplitude interannual variability. Recent literature debates whether climate models reproduce observed short and long‐term surface temperature trends in this region. We reconcile the debate by reevaluating a large range of trends in initial condition ensembles of 15 climate models. We confirm that models fail to reproduce long‐term trends, but also find that many models do not reproduce the observed decadal‐scale swings in the East to West gradient of the equatorial Pacific. Models with high climate sensitivity are less likely to reproduce observed decadal‐scale swings than models with a modest climate sensitivity, possibly due to an incorrect balance of cloud feedbacks driven by changing inversion strength versus surface warming. Our findings suggest that two not well understood problems of the current generation of climate models are connected and we highlight the need to increase understanding of decadal‐scale variability.


Citations (41)


... As mentioned above, GCMs rely on radiative transfer parametrizations to model this relationship, which are known to have biases (Soden et al., 2018). Therefore, there is an ongoing search for alternative tools to evaluate the ToA response to surface warming based on various regression techniques and contrasting models with observations (e.g., Falasca et al., 2025;Rugenstein et al., 2025;Thompson et al., in review;Fredericks, Rugenstein, & Thompson, in prep.;Fredericks, Van Loon, et al., in prep.). ...

Reference:

Reanalysis-based Global Radiative Response to Sea Surface Temperature Patterns: Evaluating the Ai2 Climate Emulator
Convolutional Neural Networks Trained on Internal Variability Predict Forced Response of TOA Radiation by Learning the Pattern Effect

... Besides the Green's function method, other approaches have been used to study the spatial relationship between R and SST (e.g., Bloch-Johnson et al., 2020;Falasca et al., 2025;Rugenstein et al., 2025;Thompson et al., in review;Van Loon et al., 2025b;Fredericks, Rugenstein, & Thompson, in prep.). These different methods generally agree on the overall structure of the sensitivity maps (e.g., Fig. 2a-c), suggesting that this is a robust feature across models. ...

Observation-based estimate of Earth's effective radiative forcing

... It shows a decrease and increase in annual mean precipitation to the south and north of about 5 o N, indicating a trend of northward shift of the global zonal mean Intertropical Convergence Zone (ITCZ) due to Antarctic sea ice expansion over 1979-2014. Such ITCZ change can be explained using the atmospheric energy-flux theory [35][36][37][38][39][40] (see Methods), which describes an anti-correlation between the zonal mean ITCZ location and atmospheric cross-equatorial energy transport. The northward ITCZ migration, in particular, corresponds to an enhanced southward atmospheric cross-equatorial energy transport caused by changes in interhemispheric asymmetry of top of atmosphere (TOA) radiation and surface energy fluxes. ...

Contrasting fast and slow intertropical convergence zone migrations linked to delayed Southern Ocean warming

Nature Climate Change

... For example Goessling et al. (2025) found that a decrease in low cloud cover might explain the unexpectedly high recent global temperature peek in 2023 and 2024. Also Olonscheck and Rugenstein (2024) found that the latest generations of climate models underestimate the trend in TOA net flux. This indicates that attribution of 2 https://doi.org/10.5194/egusphere-2025-418 ...

Coupled Climate Models Systematically Underestimate Radiation Response to Surface Warming

... This "Jacobian" can then be convolved with any SST pattern to obtain a response of the radiation. Technical details and protocol choices are discussed in depth in Bloch-Johnson et al. (2024) and the specifics of the MPI-ESM Green's function used here are documented in Alessi and Rugenstein (2023a). Importantly, the Green's function simulations are computationally expensive-in our case 3,720 simulation years of the atmosphere and land model components of MPI-ESM. ...

The Green's Function Model Intercomparison Project (GFMIP) Protocol

... The changes in Walker circulation strength in pHIST+0K and nHIST+0K can be predicted using the Green's function experiment, where a patch of SST anomalies is prescribed to 91 locations globally (Alessi & Rugenstein, 2023). Despite some underestimation, the Green's function experiment using ECHAM6.3 ...

Surface Temperature Pattern Scenarios Suggest Higher Warming Rates Than Current Projections

... To further increase trust in our method, we train CNNs on output from three additional climate model large initial conditions ensembles for which time series of F are available through CMIP6 (Pincus et al., 2016, we average over the three members provided by RFMIP): CanESM5 (Swart et al., 2019), MIROC6 (Tatebe et al., 2019), and IPSL-CM6A-LR (Boucher et al., 2020). These models form an ensemble of opportunity: they differ in their original resolution, parameterizations of radiatively relevant processes, climate sensitivity and local surface warming variance (e.g., Deser et al., 2020;Lehner et al., 2020;Maher et al., 2023;Rugenstein, Dhame, et al., 2023). All three models simulate the historical scenario from 1850 to 2014 followed by the shared socioeconomic pathway SSP2-4.5 protocol as opposed to the RCP8.5 used for MPI-ESM above. ...

Connecting the SST Pattern Problem and the Hot Model Problem

... To first order, R is a function of surface temperature, and, in a stable climate, acts as a restoring term for the energy budget. Therefore, knowing how sensitive R is to varying surface temperature is crucial to understand how much the atmosphere warms in response to a radiative forcing (e.g., Senior & Mitchell, 2000;Andrews et al., 2015Andrews et al., , 2022Rugenstein, Zelinka, et al., 2023). Importantly, only N but not R can be observed. ...

Patterns of Surface Warming Matter for Climate Sensitivity
  • Citing Article
  • October 2023

Eos Transactions American Geophysical Union

... However, a notable exception is the North Atlantic warming hole, where the Planck response contributes to an anomalous surface warming ( Fig. 2D ). This geographic distinction reveals that the Planck response is weaker over the North Atlantic warming hole in the free-AMOC simulation, leading to a more significant anomalous warming effect than in other regions due to the strikingly colder surface temperatures in this area ( 47 ). In contrast to the free-AMOC simulation, the Planck response is weaker over the central Arctic in the fixed-AMOC simulation. ...

Non‐Monotonic Feedback Dependence Under Abrupt CO2 Forcing Due To a North Atlantic Pattern Effect

... Why this is true-and whether this hemispheric albedo symmetry is physically maintained-has remained a mystery. Stateof-the-art coupled climate models do not systematically simulate symmetric hemispheric reflection (Crueger et al., 2023;Jönsson & Bender, 2021;Rugenstein & Hakuba, 2023). An energy balance argument for the shortwave symmetry is unsatisfactory: Emitted longwave radiation is not symmetric, with hemispheric differences in net radiation balanced by net interhemispheric energy transport by the ocean and atmosphere (Stephens et al., 2016). ...

Connecting Hemispheric Asymmetries of Planetary Albedo and Surface Temperature