Centre of Environmental and Climate Sciences, Lund University, Sölvegatan 37, Lund, 223 62, Sweden.
Department of Mathematical Sciences, Durham University, Durham, UK.
Risk Anal. 2021 Nov;41(11):2140-2153. doi: 10.1111/risa.13722. Epub 2021 May 5.
Bayesian decision analysis is a useful method for risk management decisions, but is limited in its ability to consider severe uncertainty in knowledge, and value ambiguity in management objectives. We study the use of robust Bayesian decision analysis to handle problems where one or both of these issues arise. The robust Bayesian approach models severe uncertainty through bounds on probability distributions, and value ambiguity through bounds on utility functions. To incorporate data, standard Bayesian updating is applied on the entire set of distributions. To elicit our expert's utility representing the value of different management objectives, we use a modified version of the swing weighting procedure that can cope with severe value ambiguity. We demonstrate these methods on an environmental management problem to eradicate an alien invasive marmorkrebs recently discovered in Sweden, which needed a rapid response despite substantial knowledge gaps if the species was still present (i.e., severe uncertainty) and the need for difficult tradeoffs and competing interests (i.e., value ambiguity). We identify that the decision alternatives to drain the system and remove individuals in combination with dredging and sieving with or without a degradable biocide, or increasing pH, are consistently bad under the entire range of probability and utility bounds. This case study shows how robust Bayesian decision analysis provides a transparent methodology for integrating information in risk management problems where little data are available and/or where the tradeoffs are ambiguous.
贝叶斯决策分析是一种用于风险管理决策的有用方法,但它在考虑知识中的严重不确定性和管理目标中的价值模糊性方面存在局限性。我们研究了使用稳健贝叶斯决策分析来处理出现这些问题的情况。稳健贝叶斯方法通过概率分布的边界来建模严重的不确定性,通过效用函数的边界来建模价值模糊性。为了纳入数据,标准的贝叶斯更新应用于整个分布集。为了引出我们专家的效用,代表不同管理目标的价值,我们使用了一种经过修改的摆动权重程序,可以应对严重的价值模糊性。我们在一个环境管理问题上演示了这些方法,该问题涉及到最近在瑞典发现的一种外来入侵的大理石虾的根除,尽管该物种仍然存在(即严重的不确定性),并且需要进行困难的权衡和竞争利益(即价值模糊性),因此需要快速做出反应。我们发现,在整个概率和效用边界范围内,排空系统并去除个体与疏浚和筛选相结合的决策选择,无论是否使用可降解杀生剂,或者增加 pH 值,都是非常糟糕的。这个案例研究表明,稳健贝叶斯决策分析如何为在数据有限和/或权衡模糊的风险管理问题中整合信息提供了一种透明的方法。