ANNs Capture ENSO Response to Warming
Understanding ENSO and the Need for Accurate Projections
The El Niño-Southern Oscillation (ENSO) is a significant climatic phenomenon that impacts global weather patterns. To effectively predict future variations in sea surface temperature (SST) associated with ENSO, we require a robust statistical mapping model. This model needs to accurately replicate historical ENSO manifestations and forecast its future trajectory based on relevant input predictors. Research has shown that variations in the mean state of the tropical Pacific are critical for the low-frequency modulation of ENSO, driving the urgent need for precise models to project upcoming climate scenarios.
The Role of Mapping Models
Our statistical mapping model hinges on the tropical Pacific mean state as the primary predictor, projecting the standard deviation of SST anomalies in the Niño3.4 region. By inputting projected changes under greenhouse warming scenarios into this model, we can extrapolate future ENSO SST variability effectively. Due to the complex, nonlinear nature of ENSO, constructing an analytical form for this statistical model proves challenging. To navigate this complexity, we turn to convolutional neural networks (CNNs), an artificial neural network (ANN) architecture designed to process spatial patterns. These networks excel in capturing the intricate spatial relationships inherent in climate data.
The Promise and Challenges of ANNs
ANNs hold great potential for decoding the intricate interactions between ENSO SST variability and changes in the mean state of the tropical Pacific. For accurate projections, it is essential that ANNs not only employ observational data but also reflect the fundamental physics surrounding ENSO dynamics. Unfortunately, traditional climate models often fall short in replicating observed ENSO patterns. Thus, we minimize reliance on Coupled Model Intercomparison Project (CMIP) data and focus on developing ANNs that are firmly grounded in real-world observations.
Nonetheless, training ANNs on observational data faces obstacles due to the limited availability and reliability of such datasets. A strategic and effective solution is to adopt transfer learning. Here, ANNs are first pre-trained with CMIP model outputs and then fine-tuned with observational data. This dual approach enhances the robustness of our projections and ensures that ANNs accurately capture the underlying dynamics of ENSO.
Methodology: Training ANNs
In our approach, we pre-train 11 ANNs using control, historical, and future scenario simulations from 11 CMIP6 models. Each ANN adeptly captures the nonlinear relationship between ENSO SST amplitude and the tropical Pacific mean state as modeled within its respective climate model. Given the interconnectedness of various oceanic and atmospheric variables during ENSO events, we recognize that SST alone may not adequately represent the mean state.
To address this, we rely primarily on SST but remain cognizant of additional relevant variables, such as subsurface thermocline measurements. Our ANNs perform admirably on their respective validation datasets, demonstrating that even with SST as the sole input, we can faithfully replicate the modeled relationship between ENSO SST amplitude and the tropical Pacific mean state.
Unpacking ANN Performance
Each ANN undergoes a rigorous evaluation to assess its ability to reproduce observed ENSO SST amplitudes when presented with actual SST mean states. Notably, the ANN trained on the GISS-E2-1-H simulations demonstrates particularly strong correlations with observed data, indicating its efficacy in capturing the ENSO response to mean state changes. However, several ANNs exhibit weaker correlations, prompting a critical examination of their applicability to future projections.
To produce credible projections, it is crucial to assess why certain ANNs outperform others. Here, we leverage interpretive analyses to demystify the black-box nature of ANNs and align their performance with established ENSO physics.
Enhancing Fidelity through Physical Insights
To discern why some ANNs excel, we employ occlusion sensitivity analysis. This technique identifies specific subregions in the tropical Pacific where mean SST significantly impacts ENSO SST amplitude estimation. Findings reveal that the best-performing ANNs exhibit a high sensitivity to SST mean states in the central and eastern equatorial Pacific. This observation aligns with established physical mechanisms governing ENSO SST amplitude, highlighting the importance of central SST warming and its role in amplifying ENSO variability.
Quantifying ENSO Feedbacks
A further exploration into the underlying mechanisms of ENSO dynamics indicates that eastern Pacific SST warming modulates changes in SST variability. By analyzing correlations with critical ENSO feedback parameters, we affirm that well-performing ANNs are likely grounded in climate models that accurately reproduce observed ENSO physics. Notably, ANNs demonstrating lower biases in the Bjerknes stability index correlate with superior performance on historical observational data.
Model Evaluation: Transfer Learning in Action
To ensure the robustness of our ANN projections, we implement a performance-weighted combination derived from the 11 individual models, effectively creating an ensemble model dubbed ANNobs. By utilizing the tropical Pacific SST mean state as input, ANNobs outputs a weighted average of ENSO SST amplitudes from all contributing ANNs.
While this approach holds considerable promise, it is crucial to recognize limitations. Performance-based weighting assumes a linear relationship between historical skill and future reliability, potentially overlooking nonlinear climate transitions. Nevertheless, our training datasets span a range of emissions scenarios, sensitively accounting for potential regime shifts in ENSO behavior.
Rigorous Testing with Model-as-Truth
In the absence of future climate observations, a model-as-truth approach allows us to assess ANN robustness under future scenarios. By treating climate model simulations as observational data, we can validate how well our ANN estimates align with real-world observations. Early results indicate that when historical SST mean states from models are inputted into ANNs, the outputs closely match direct climate model simulations.
Reducing Uncertainty through ANN Projections
The current era’s challenges in projecting ENSO SST amplitudes arise primarily from unrealistic representations of ENSO physics within various models. By employing ANNobs—which adeptly reflects observed feedback—our projections not only reproduce historical variability but also yield consistent forecasts under future warming scenarios.
The narrowing of uncertainty in our ANN-based projections is striking. While CMIP projections historically yield a broad array of outputs, ANN estimates show a tighter distribution, signifying a substantial (54%) reduction in projected uncertainty between 2024 and 2100.
The Path Forward for ENSO Projections
With ANNobs showcasing superior performance through the integration of observational data, we can anticipate the future trajectory of ENSO SST variability with greater confidence. Projections indicate a potential reversal of trends around 2050—underscoring the fluid and dynamic nature of climate inputs and their cascading effects on global weather patterns.
The evolution of ENSO SST projections is undeniably tied to complex interactions within the tropical Pacific. By continuing to refine our ANNs and integrating new data and findings, we strive to enhance our understanding of ENSO dynamics, ultimately leading to improved climate prediction capabilities for years to come.

