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arXiv 2607.21917physics.ao-ph

MAPCast:一种用于基于集合的背景误差协方差估计以实现多尺度数据同化的允许对流的MPAS模拟器

MAPCast: A Convection Allowing MPAS Emulator for Ensemble-based Background Error Covariance Estimation Toward Multi-Scale Data Assimilation

Yongming Wang, Xuguang Wang

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中文总结 AI 辅助

研究开发允许对流的模拟器MAPCast,基于MPAS历史模拟训练,评估其估计背景误差协方差能力用于多尺度数据同化。通过10个回顾性对流案例评估,MAPCast能高保真再现预报,不同尺度相关性有差异,15分钟预报的BEC估计更优。

中文摘要 AI 辅助

机器学习(ML)模拟器为基于集合的数据同化(DA)中生成允许对流的背景集合提供了一种经济高效的数值天气预报模型替代方案。然而,很少有研究探索基于ML的替代背景集合来估计背景误差协方差(BEC)。本研究开发了一种允许对流的模拟器MAPCast,它基于跨尺度预测模型(MPAS)的历史允许对流模拟进行训练,并评估其估计BEC的能力,为多尺度DA铺平道路。评估使用了15分钟和60分钟预报提前期的10个回顾性对流案例,对应于亚小时和小时DA。MAPCast能以高保真度再现MPAS预报,包括逼真的风暴覆盖、时间演变以及状态变量的类似空间和光谱特征。差异主要局限于尖锐梯度和对流尺度特征及变量附近的小空间尺度。对于BEC统计,MAPCast捕获了大多数变量的集合散布大小和空间分布,尽管与风暴相关的垂直速度和反射率等场存在较大误差。相关结构在中尺度及以上再现最忠实,其次是对流尺度,而跨变量相关性的表示不如单变量相关性准确,表明多变量耦合仍然是主要限制。MAPCast在全尺度与分解的大、小尺度相关性方面的复制较弱。从15分钟预报得出的BEC估计始终优于60分钟预报,表明较短的提前期能更好地保留与流相关的误差结构。

英文摘要

Machine learning (ML) emulators offer a cost-efficient alternative to numerical weather prediction models for generating convection-allowing background ensembles in ensemble-based data assimilation (DA). However, few studies have explored ML-based surrogate background ensembles for estimating background-error covariances (BECs). This study develops a convection-allowing emulator, MAPCast, trained on historical convection-allowing simulations from the Model for Prediction Across Scales (MPAS), and evaluates its ability to estimate BECs, paving the way toward multiscale DA. The evaluation uses 10 retrospective convective cases at 15- and 60-min forecast lead times corresponding to subhourly and hourly DA. MAPCast reproduces MPAS forecasts with good fidelity, including realistic storm coverage, temporal evolution, and similar spatial and spectral characteristics of state variables. Discrepancies are primarily confined to small spatial scales near sharp gradients and convective-scale features and variables. For BEC statistics, MAPCast captures ensemble spread magnitude and spatial distribution for most variables, although larger errors occur for storm-related fields that are vertical velocity and reflectivity. Correlation structures are reproduced most faithfully at mesoscale and above, followed by at convective scales, whereas cross-variable correlations are less accurately represented than univariate correlations, indicating that multivariate coupling remains the principal limitation. MAPCast shows weaker replication of full-scale versus decomposed large and small-scale correlations. BEC estimates derived from 15-min forecasts consistently outperform those from 60-min forecasts, suggesting that shorter lead times better preserve flow-dependent error structures.

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