论文标题

贝叶斯分层模型框架,以量化热带气旋降水预测的不确定性

A Bayesian Hierarchical Model Framework to Quantify Uncertainty of Tropical Cyclone Precipitation Forecasts

论文作者

Walsh, Stephen A., Ferreira, Marco A. R., Higdon, Dave, Zick, Stephanie

论文摘要

热带气旋对世界上许多沿海社区构成了严重威胁。许多数值天气预测模型提供了确定性的预测,其预测不确定性的衡量标准有限。标准的后处理技术可能会在极端事件上遇到困难,或者使用30天的训练窗口,该窗口无法充分表征热带气旋预测的不确定性。我们提出了一种新的方法,该方法利用层次模型来利用过去风暴事件的信息来量化预测误差(建模为高斯过程)的空间相关参数中的不确定性,以作为数值天气预测模型。通过假设MLE和Hessian矩阵代表每个热带气旋的所有有用信息,该方法通过实现急剧降低来解决巨大的数据问题。由此,模拟的预测误差为未来的热带气旋预测提供了不确定性定量。 We apply this method to the North American Mesoscale model forecasts and use observations based on the Stage IV data product for 47 tropical cyclones between 2004 and 2017. For an incoming storm, our hierarchical framework combines the forecast from the North American Mesoscale model with the information from previous storms to create 95\% and 99\% prediction maps of rain.对于2018年和2019年的六次测试风暴,这些地图提供了适当的观测概率覆盖范围。我们从日志评分规则中展示了证据,表明所提出的层次结构框架在竞争方法中表现最好。

Tropical cyclones present a serious threat to many coastal communities around the world. Many numerical weather prediction models provide deterministic forecasts with limited measures of their forecast uncertainty. Standard postprocessing techniques may struggle with extreme events or use a 30-day training window that will not adequately characterize the uncertainty of a tropical cyclone forecast. We propose a novel approach that leverages information from past storm events, using a hierarchical model to quantify uncertainty in the spatial correlation parameters of the forecast errors (modeled as Gaussian processes) for a numerical weather prediction model. This approach addresses a massive data problem by implementing a drastic dimension reduction through the assumption that the MLE and Hessian matrix represent all useful information from each tropical cyclone. From this, simulated forecast errors provide uncertainty quantification for future tropical cyclone forecasts. We apply this method to the North American Mesoscale model forecasts and use observations based on the Stage IV data product for 47 tropical cyclones between 2004 and 2017. For an incoming storm, our hierarchical framework combines the forecast from the North American Mesoscale model with the information from previous storms to create 95\% and 99\% prediction maps of rain. For six test storms from 2018 and 2019, these maps provide appropriate probabilistic coverage of observations. We show evidence from the log scoring rule that the proposed hierarchical framework performs best among competing methods.

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