arXiv:2601.08116cs.LGmath.DS2026-01被引 1

用数据直接学出热带气旋增强的随机微分方程,效果媲美物理模型。

Learning a Stochastic Differential Equation Model of Tropical Cyclone Intensification from Reanalysis and Observational Data

  • 从观测与再分析数据中直接学习强度演变的随机微分方程
  • 合成风暴的增强统计与灾害评估与真实数据一致,媲美主流物理模型
  • 捕捉到内核通风增强引发鞍结分岔等非线性动力学特征

热带气旋是影响重大的天气灾害,但其风险评估受限于历史记录较短。为延长记录,研究者常使用简化模型生成大量合成风暴。传统建模需大量理论工作。本文探索方程发现方法(一类数据驱动技术)能否加速简化增强模型的构建。结合观测风暴数据(IBTrACS)与再分析环境条件(ERA5),我们学习到一个紧凑的随机微分方程,描述热带气旋强度演化。聚焦热带气旋因其动力学研究充分,且已有层级化简化模型,便于与物理推导模型直接对比。结果表明,该模型生成的合成风暴在增强统计和灾害估计上与观测一致,性能可与领先物理模型比肩。模型还重现了热带气旋已知的非线性动力学行为,如内核通风增强导致的鞍结分岔。这说明,直接对风暴强度应用方程发现方法,不仅能获得真实统计特性,还能恢复有意义的物理动力结构。这些发现凸显数据驱动方法在极端天气研究中对现有理论与简化模型的补充潜力。

原文摘要 · Abstract (English)

Tropical cyclones are among the most consequential weather hazards, yet estimates of their risk are limited by the relatively short historical record. To extend these records, researchers often generate large ensembles of synthetic storms using simplified models of cyclone intensification. Developing such models, however, has traditionally required substantial theoretical effort. Here we explore whether equation-discovery methods, a class of data-driven techniques designed to infer governing equations, can accelerate the process of developing simplified intensification models. Using observational storm data (IBTrACS) together with environmental conditions from reanalysis (ERA5), we learn a compact stochastic differential equation describing tropical cyclone intensity evolution. We focus on TCs because their dynamics are well studied and a hierarchy of reduced-order models exist, enabling direct comparison of the learned model to physically-derived counterparts. We find that the learned model simulates synthetic TCs whose intensification statistics and hazard estimates are consistent with observations and competitive with a leading physics-based TC intensification model. Our model also reproduces known nonlinear dynamical behavior of tropical cyclones, including as a saddle node bifurcation as inner core ventilation is increased. This result shows that equation-discovery approaches, when applied directly to storm intensity, can recover not only realistic statistics but also physically meaningful dynamical structure. These findings highlight the potential for data-driven methods to complement existing theory and reduced-order models in the study of extreme weather.

气象建模随机微分方程数据驱动热带气旋

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