arXiv:2607.18298stat.MLcs.LG2026-07被引 1

用新方法从单次气候模拟中分离出人为影响与自然波动,提升预测准确性。

Disentangling Forced and Internal Climate Variability in Single Realizations using Dynamic Mode Decomposition with Control

论文配图:Disentangling Forced and Internal Climate Variability in Single Realizations using Dynamic Mode Decomposition with Control
图 1 · 摘自论文原文
  • 基于非自治系统理论,将外部强迫视为动态驱动,分解单个气候序列
  • 对温度和气压数据的评估显示,强迫响应预测精度优于或相当于现有基准
  • 适合气候模型评估与单次观测中的归因分析,物理意义清晰

我们证明,在线性随机系统框架下将外部强迫视为动力驱动,可将单个气候实现分解为强迫与内部变率成分,这一方法基于拉回吸引子理论,解决了气候科学中的核心方法论难题,直接关联气候预测、强迫响应的检测与归因。现有统计方法包括基于大规模集合的方法和适用于单次实现的技术,后者多依赖线性框架如线性逆模型(LIMs)和线性回归;但前者忽略强迫变量,后者忽视气候系统动力学。本文提出PullbackDMDc,结合拉回吸引子估计与带控制的动态模态分解(DMDc),在非自治动力系统理论基础上,将单个气候实现分解为空间模态及其对应的强迫与内部成分,提供具有物理解释的动态图景。通过应用于再分析数据及四个地球系统模型(ESM)大规模集合的近地表气温与海平面气压,结果显示PullbackDMDc在强迫响应估计上表现优异,匹配或超过已有基准,并能识别最优强迫预测因子。其内部变率分量表明,各ESM定性捕捉了年际与十年尺度模态,但彼此之间及与观测相比存在系统性差异。该方法在单次实现气候分析与模型评估中展现出实用性。

原文摘要 · Abstract (English)

We show that a single climate realization can be decomposed into forced and internal components by treating external forcing as a dynamical driver within a linear stochastic system, an idea grounded in pullback attractor theory. In doing so, we address a central methodological challenge in climate science with direct implications for climate projection and the detection and attribution of the forced response, disentangling the forced climate response from internal variability in a single observed record. Statistical methods range from approaches trained on large ensembles to techniques operating on single realizations. The latter often rely on linear frameworks such as linear inverse models (LIMs) and linear regression. LIMs ignore forcing predictors, whereas linear regression omits climate system dynamics. Here we introduce PullbackDMDc, a method grounded in non-autonomous dynamical systems theory and dynamic mode decomposition with control (DMDc), incorporating pullback attractor estimation to decompose a single climate realization into spatial modes and their associated forced and internal components, yielding a physically interpretable picture of the underlying dynamics. We illustrate the utility of PullbackDMDc for Earth System Model (ESM) evaluation by applying it to near-surface air temperature and sea-level pressure from reanalysis and four ESM large ensembles. PullbackDMDc estimates the forced response with skill matching or exceeding established baselines and identifies optimal forcing predictors against model-based ground truth. Its internal variability components reveal that ESMs qualitatively capture interannual and decadal modes while exhibiting systematic differences relative to each other and to observations. Skillful forced response estimation and a novel decomposition position PullbackDMDc as a practical tool for single-realization climate analysis and ESM evaluation.

气候建模动态分解归因分析模型评估

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