用三种概率模型提升次季节风速预测的不确定性空间表示。
Quantile Regression, Variational Autoencoders, and Diffusion Models for Uncertainty Quantification: A Spatial Analysis of Sub-seasonal Wind Speed Prediction
- 用分位数回归、变分自编码器和扩散模型量化不确定性。
- 模型在风速集合发散性和物理一致性上优于传统随机扰动方法。
- 适合风电规划与风险评估的高精度不确定性建模需求。
本研究旨在改进从大尺度大气预报因子(如500 hPa位势高度Z500)回归地表风速时的空间不确定性表征。由于大尺度变量可预测性更高,常用于次季节预测并下放至局部信息。此前工作(Tian et al., 2024)表明基于模型残差的随机扰动可改善集合离散度,但难以捕捉空间相关性和物理一致性。本文评估三种概率深度学习方法:分位数回归神经网络直接建模分布分位数,变分自编码器通过潜空间采样,扩散模型采用迭代去噪机制。模型基于ERA5再分析数据训练,并应用于ECMWF次季节历史预报,以回归概率风速集合。结果表明,相比简单随机方法,概率下放方法能更真实地表示空间不确定性,各模型在集合离散度、确定性精度和物理一致性方面各有优势。研究证实概率下放是提升实际次季节风速预报的有效手段,适用于可再生能源规划与风险评估。
原文摘要 · Abstract (English)
This study aims to improve the spatial representation of uncertainties when regressing surface wind speeds from large-scale atmospheric predictors for sub-seasonal forecasting. Sub-seasonal forecasting often relies on large-scale atmospheric predictors such as 500 hPa geopotential height (Z500), which exhibit higher predictability than surface variables and can be downscaled to obtain more localised information. Previous work by Tian et al. (2024) demonstrated that stochastic perturbations based on model residuals can improve ensemble dispersion representation in statistical downscaling frameworks, but this method fails to represent spatial correlations and physical consistency adequately. More sophisticated approaches are needed to capture the complex relationships between large-scale predictors and local-scale predictands while maintaining physical consistency. Probabilistic deep learning models offer promising solutions for capturing complex spatial dependencies. This study evaluates three probabilistic methods with distinct uncertainty quantification mechanisms: Quantile Regression Neural Network that directly models distribution quantiles, Variational Autoencoders that leverage latent space sampling, and Diffusion Models that utilise iterative denoising. These models are trained on ERA5 reanalysis data and applied to ECMWF sub-seasonal hindcasts to regress probabilistic wind speed ensembles. Our results show that probabilistic downscaling approaches provide more realistic spatial uncertainty representations compared to simpler stochastic methods, with each probabilistic model offering different strengths in terms of ensemble dispersion, deterministic skill, and physical consistency. These findings establish probabilistic downscaling as an effective enhancement to operational sub-seasonal wind forecasts for renewable energy planning and risk assessment.
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