Bayesian estimation of the likelihood of extreme hail sizes over the United States

Subhadarsini Das, John T. Allen
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Abstract

Large hail causes significant economic losses in the United States each year. Despite these impacts, hail is not typically included in building and infrastructure design standards, and assessments of hazards from extreme hail size remain limited. Here, we use a novel approach and multiple hail size datasets to develop a new Generalized Extreme Value model through a Bayesian framework to identify large hail-prone regions across the country at 0.25° × 0.25°. This model is smoothed using Gaussian process regression for nationwide estimation of return likelihood. To contextualize local risk, hazard returns intersecting high-population exposure centers are compared. Fitted extreme value models suggest earlier work likely underestimates the hail hazard. Especially for higher return periods, the Bayesian approach is found to better model very rare hail occurrences than traditional approaches. This provides a framework for appreciating underlying risk from hail and motivates mitigative approaches through improving design standards.

Abstract Image

美国极端冰雹大小可能性的贝叶斯估计
大冰雹每年给美国造成巨大的经济损失。尽管有这些影响,但冰雹通常不包括在建筑和基础设施设计标准中,对极端冰雹大小造成的危害的评估仍然有限。在此,我们利用一种新颖的方法和多个冰雹大小数据集,通过贝叶斯框架建立了一个新的广义极值模型,以识别0.25°× 0.25°的全国大冰雹易发区域。该模型使用高斯过程回归进行平滑,用于全国范围内的回归似然估计。为了了解局部风险,比较了交叉高人口暴露中心的风险回报。拟合的极值模型表明,早期的工作可能低估了冰雹的危害。特别是对于高回报期,贝叶斯方法被发现比传统方法更好地模拟非常罕见的冰雹事件。这为评估冰雹的潜在风险提供了一个框架,并通过改进设计标准来激励缓解方法。
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