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Identifying Climate Impact Pathways Using Random Forest Regression and Feature Importance


Kernekoncepter
A novel data-driven method using Random Forest Regression and feature importance can identify and rank the interdependencies between climate variables, enabling the tracing of source-impact pathways from spatio-temporal climate data.
Resumé

The paper presents a novel data-driven methodology for discovering and ranking source-impact pathways in climate data using Random Forest Regression (RFR) and feature importance. The key steps are:

  1. Train individual RFR models to predict each feature of interest, using all other features as inputs.
  2. Calculate pairwise feature importances (weights) using SHAP values for each RFR model.
  3. Translate the feature importances into a weighted pathway network (directed graph), where nodes represent climate variables and edges represent relationships between them.
  4. Prune weak or irrelevant edges based on statistical criteria.

The method is verified on two test cases:

  1. A set of synthetic coupled equations with known relationships.
  2. Simulations of the 1991 Mount Pinatubo volcanic eruption using the E3SMv2-SPA climate model.

For the synthetic case, the method accurately identifies the known variable dependencies. For the Mount Pinatubo case, the method detects the expected stratospheric warming and surface cooling pathways, and also uncovers additional relationships that provide insights into the complex climate system response.

The proposed approach offers a data-driven way to discover and rank climate impact pathways, without requiring prior knowledge of the underlying physical processes. It can be a valuable tool for enhancing our understanding of high-consequence climate system responses.

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Statistik
The eruption of Mount Pinatubo in 1991 injected approximately 20 million tons of sulfur dioxide into the stratosphere. This led to a decrease in surface temperatures by up to 0.5°C by September 1992 due to reduced shortwave radiation. Stratospheric temperatures increased due to the greenhouse effect of increased sulfates.
Citater
"Disturbances to the climate system, both natural and anthropogenic, have far reaching impacts that are not always easy to identify or quantify using traditional climate science analyses or causal modeling techniques." "Our RFR and feature importance approach cannot recover the actual coefficients pre-multiplying each term on the right-hand side of (4); however, the approach is able to detect correctly the relative strength of dependence for each variable and each time lag." "While the former two 'forward' relationships are expected based on what is known about the surface cooling pathway, it is difficult to corroborate the time lags associated with these variable dependencies."

Dybere Forespørgsler

How could this method be extended to identify nonlinear relationships or time-varying dependencies between climate variables?

To extend the Random Forest Regression (RFR) method for identifying nonlinear relationships or time-varying dependencies between climate variables, several approaches can be considered. First, incorporating ensemble methods that utilize tree-based models capable of capturing nonlinear interactions, such as Gradient Boosting Machines (GBM) or Extreme Gradient Boosting (XGBoost), could enhance the model's ability to identify complex relationships. These models can inherently capture nonlinearities through their structure, allowing for more nuanced interpretations of feature interactions. Additionally, the use of time-series analysis techniques, such as recurrent neural networks (RNNs) or Long Short-Term Memory (LSTM) networks, could be integrated into the workflow. These models are designed to handle sequential data and can learn time-varying dependencies by maintaining a memory of past inputs, thus providing a more dynamic understanding of how climate variables interact over time. Another approach is to implement a sliding window technique, where the model is trained on overlapping time segments of the data. This would allow for the detection of changes in relationships over time, effectively capturing the temporal dynamics of climate interactions. By combining these advanced modeling techniques with the existing RFR framework, researchers can gain deeper insights into the nonlinear and time-varying nature of climate systems, ultimately leading to a more comprehensive understanding of source-impact pathways.

What are the limitations of using feature importance metrics like SHAP to infer causal relationships in complex systems like the climate?

While SHAP (SHapley Additive exPlanation) provides a robust framework for assessing feature importance in machine learning models, its application in inferring causal relationships in complex systems like the climate has notable limitations. One significant limitation is that SHAP values are derived from the model's predictions and do not account for underlying causal mechanisms. As a result, while SHAP can indicate which features are influential in predicting outcomes, it does not establish whether these features are causally related. Moreover, SHAP assumes that the model is correctly specified and that the relationships captured by the model reflect the true underlying processes. In complex climate systems, where interactions are often nonlinear and influenced by numerous external factors, this assumption may not hold. Consequently, SHAP may misrepresent the importance of certain features if the model fails to capture the complexity of the relationships accurately. Another limitation is the potential for confounding variables. In climate science, many variables are interrelated, and the presence of confounders can lead to spurious associations. SHAP does not inherently control for these confounding factors, which can result in misleading interpretations of feature importance. Lastly, the computational cost of calculating SHAP values can be significant, especially in high-dimensional datasets typical of climate data. This computational burden may limit the feasibility of using SHAP in large-scale analyses, potentially hindering its application in real-time climate monitoring and decision-making.

How could this pathway detection approach be combined with physical climate models to improve our understanding of high-impact climate events and their consequences?

Combining the pathway detection approach using Random Forest Regression (RFR) with physical climate models can significantly enhance our understanding of high-impact climate events and their consequences. One effective strategy is to use the RFR-based pathway detection as a complementary tool to validate and refine the outputs of physical climate models. By applying the pathway detection methodology to the outputs of these models, researchers can identify and rank the interdependencies between climate variables, providing insights into the mechanisms driving high-impact events. Furthermore, integrating the pathway detection approach with ensemble simulations from physical climate models can help in identifying robust pathways of impact across different scenarios. This ensemble approach allows for the exploration of uncertainties inherent in climate modeling, enabling researchers to assess how variations in model parameters or initial conditions influence the pathways of impact. By analyzing these pathways, scientists can better understand the potential consequences of extreme climate events, such as droughts or floods, and develop more effective adaptation and mitigation strategies. Additionally, the insights gained from the pathway detection can inform the development of hybrid models that combine machine learning techniques with physical principles. These hybrid models can leverage the strengths of both approaches, allowing for more accurate predictions of climate impacts while maintaining physical realism. By incorporating the identified pathways into the physical models, researchers can enhance the models' predictive capabilities, leading to improved forecasting of high-impact climate events and their associated risks. In summary, the integration of pathway detection with physical climate models offers a powerful framework for advancing our understanding of complex climate interactions and enhancing our ability to respond to high-impact climate events.
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