具有分段特征的火灾蔓延模型的全局敏感性分析方法比较

Shi-Shun Chen, Xiao-Yang Li
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引用次数: 0

摘要

全局敏感性分析(GSA)可以为控制输出的不确定性提供丰富的信息。在实际应用中,分段模型仅用于描述模型的突然变化。对于分段模型,过渡区域内复杂的不确定性传播可能会导致不同 GSA 方法的重要性排序不同。如果采用了不合适的 GSA 方法,就会得到误导性的结果,导致次优甚至错误的决策。本文将四种 GSA 指数,即 Sobol 指数、互信息指数、delta 指数和 PAWN 指数,应用于分段火灾蔓延模型(干桉树)。结果表明,由于分段特征以不同方式影响不同的 GSA 指数,因此四种 GSA 指数在过渡区域的重要性排名不同。我们建议,分析人员应根据其实际目的依赖于不同 GSA 指数的结果,尤其是在过渡区域对分段模型进行决策时。
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Comparison of global sensitivity analysis methods for a fire spread model with a segmented characteristic
Global sensitivity analysis (GSA) can provide rich information for controlling output uncertainty. In practical applications, segmented models are commonly used to describe an abrupt model change. For segmented models, the complicated uncertainty propagation during the transition region may lead to different importance rankings of different GSA methods. If an unsuitable GSA method is applied, misleading results will be obtained, resulting in suboptimal or even wrong decisions. In this paper, four GSA indices, i.e., Sobol index, mutual information, delta index and PAWN index, are applied for a segmented fire spread model (Dry Eucalypt). The results show that four GSA indices give different importance rankings during the transition region since segmented characteristics affect different GSA indices in different ways. We suggest that analysts should rely on the results of different GSA indices according to their practical purpose, especially when making decisions for segmented models during the transition region.
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