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非线性强迫奇异向量最优扰动新理论及在集合预报中的应用

Nonlinear Forcing Singular Vector: A New Optimal Perturbation Theory and Its Applications to Ensemble Forecasting

  • 摘要: 基于集合预报性能提升长期受困于传统扰动方法无法协同处理初始与模式误差的固有缺陷,本文系统介绍了一种旨在破解该难题的非线性强迫奇异向量(NFSV)最优扰动新理论。该理论创新地通过模式“倾向扰动”量化多源模式误差的综合影响,并基于初始误差与模式误差增长的内在关联性,提出了用“全倾向扰动”考虑初始扰动与模式扰动协同增长的新思路,发展了以求解最优全倾向扰动(即组合非线性强迫奇异向量,C-NFSV)来刻画初始误差与模式误差协同作用的新途径,从动力机制层面打破了两类误差的割裂认知,突破了传统方法的局限性。将C-NFSV应用于集合预报研究,有效量化了两类误差的协同影响,相较于国际主流方法,在提高高影响事件预报技巧中优势显著:在台风预报中,更准确地捕捉了台风路径的急转向节点和更高概率地再现了台风快速增强过程,大幅降低了极端台风的预报偏差;在El Niño事件预测中,有效区分了不同类型El Niño的海气耦合特征,显著提升了事件多样性的集合预测能力。这一理论和方法为高影响天气气候预测提供了新路径,未来若与人工智能技术深度融合,有望突破集合预报计算耗时久、地球系统各圈层不确定性孤立考量的瓶颈,为气象灾害预警与气候决策提供更高效和更可靠的科技支撑。

     

    Abstract: Motivated by the long-standing limitation of traditional perturbation methods in jointly accounting for initial and model errors, which has constrained further improvements in ensemble forecasting performance, this study systematically introduces a new optimal perturbation theory—the nonlinear forcing singular vector (NFSV)—to address this challenge. Innovatively, this theory quantifies the combined effects of multiple sources of model error through model “tendency perturbations” and, based on the intrinsic linkage between the growth of initial errors and model errors, proposes a new framework in which the coordinated growth of initial and model perturbations is represented by a “full tendency perturbation.” It further develops a novel approach in which the optimal full tendency perturbation, namely the combined nonlinear forcing singular vector (C-NFSV), is solved to characterize the synergistic effects of initial errors and model errors. In this way, the theory breaks, at the dynamical-mechanism level, with the conventional separation of these two types of errors and overcomes the limitations of traditional methods.C-NFSV, when applied to ensemble forecasting, effectively quantifies the synergistic influence of these two types of errors and shows clear advantages over mainstream international methods in improving forecast skill for high-impact events. In tropical cyclone forecasting, it more accurately captures sharp turning points in cyclone tracks and reproduces rapid intensification processes with higher probability, thereby substantially reducing forecast biases for extreme tropical cyclones. In El Niño prediction, it effectively distinguishes the air–sea coupling characteristics of different El Niño types and significantly enhances ensemble prediction capability for event diversity. This theory and methodology provide a fundamentally new framework for forecasting high-impact weather and climate events. In the future, if deeply integrated with artificial intelligence technologies, it is expected to help overcome key bottlenecks in ensemble forecasting, including the high computational cost and the fragmented treatment of uncertainties across different components of the Earth system, thereby providing more efficient and reliable scientific support for meteorological disaster warnings and climate-related decision-making.

     

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