Random forest regression feature importance for climate impact pathway detection

IF 2.6 2区 数学 Q1 MATHEMATICS, APPLIED Journal of Computational and Applied Mathematics Pub Date : 2025-08-15 Epub Date: 2025-01-15 DOI:10.1016/j.cam.2024.116479
Meredith G.L. Brown , Matt G. Peterson , Irina K. Tezaur , Kara J .Peterson , Diana L. Bull
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Abstract

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. In this paper, we develop a novel technique for discovering and ranking the chain of spatio-temporal downstream impacts of a climate source, referred to herein as a source-impact pathway, using Random Forest Regression (RFR) and SHapley Additive exPlanation (SHAP) feature importances. Rather than utilizing RFR for classification or regression tasks (the most common use case for RFR), we propose a fundamentally new workflow in which we: (i) train random forest (RF) regressors on a set of spatio-temporal features of interest, (ii) calculate their pair-wise feature importances using the SHAP weights associated with those features, and (iii) translate these feature importances into a weighted pathway network (i.e., a weighted directed graph), which can be used to trace out and rank interdependencies between climate features and/or modalities. Importantly, while herein we employ RFR and SHAP feature importance in steps (i) and (ii) of our algorithm, our novel workflow is in no way tied to these approaches, which could be replaced with any regression and sensitivity method, respectively. We adopt a tiered verification approach to verify our new pathway identification methodology. In this approach, we apply our method to ensembles of data generated by running two increasingly complex benchmarks: (i) a set of synthetic coupled equations, and (ii) a fully coupled simulation of the 1991 eruption of Mount Pinatubo in the Philippines performed using a modified version 2 of the U.S. Department of Energy’s Energy Exascale Earth System Model (E3SMv2). We find that our RFR feature importance-based approach can accurately detect known pathways of impact for both test cases.
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随机森林回归对气候影响路径检测具有重要意义
对气候系统的干扰,无论是自然的还是人为的,都具有深远的影响,这些影响并不总是容易用传统的气候科学分析或因果模拟技术来确定或量化。本文利用随机森林回归(RFR)和SHapley加性解释(SHAP)特征重要性,开发了一种新的技术,用于发现和排序气候源的时空下游影响链,本文将其称为源-影响路径。而不是利用RFR进行分类或回归任务(RFR最常见的用例),我们提出了一个全新的工作流,其中我们:(i)在一组感兴趣的时空特征上训练随机森林(RF)回归量,(ii)使用与这些特征相关的SHAP权重计算其成对特征重要性,以及(iii)将这些特征重要性转化为加权路径网络(即加权有向图),该网络可用于追踪气候特征和/或模态之间的相互依赖性并对其进行排序。重要的是,虽然本文中我们在算法的步骤(i)和(ii)中使用RFR和SHAP特征重要性,但我们的新工作流与这些方法没有任何关系,它们可以分别用任何回归和灵敏度方法代替。我们采用分层验证方法来验证我们的新路径识别方法。在这种方法中,我们将我们的方法应用于通过运行两个日益复杂的基准产生的数据集合:(i)一组合成耦合方程,以及(ii)使用美国能源部能源百亿次地球系统模型(E3SMv2)的修改版本2执行的1991年菲律宾皮纳图博火山喷发的完全耦合模拟。我们发现基于RFR特征重要性的方法可以准确地检测到两个测试用例的已知影响路径。
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来源期刊
CiteScore
5.40
自引率
4.20%
发文量
437
审稿时长
3.0 months
期刊介绍: The Journal of Computational and Applied Mathematics publishes original papers of high scientific value in all areas of computational and applied mathematics. The main interest of the Journal is in papers that describe and analyze new computational techniques for solving scientific or engineering problems. Also the improved analysis, including the effectiveness and applicability, of existing methods and algorithms is of importance. The computational efficiency (e.g. the convergence, stability, accuracy, ...) should be proved and illustrated by nontrivial numerical examples. Papers describing only variants of existing methods, without adding significant new computational properties are not of interest. The audience consists of: applied mathematicians, numerical analysts, computational scientists and engineers.
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