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A sensitivity analysis of the PAWN sensitivity index
Environmental Modelling & Software ( IF 4.9 ) Pub Date : 2020-02-26 , DOI: 10.1016/j.envsoft.2020.104679
Arnald Puy , Samuele Lo Piano , Andrea Saltelli

The PAWN index is gaining traction among the modelling community as a sensitivity measure. However, the robustness to its design parameters has not yet been scrutinized: the size (N) and sampling (ε) of the model output, the number of conditioning intervals (n) or the summary statistic (θ). Here we fill this gap by running a sensitivity analysis of a PAWN-based sensitivity analysis. We compare the results with the design uncertainties of the Sobol’ total-order index (STi). Unlike in STi, the design uncertainties in PAWN create non-negligible chances of producing biased results when ranking or screening inputs. The dependence of PAWN upon (N,n,ε,θ) is difficult to tame, as these parameters interact with one another. Even in an ideal setting in which the optimum choice for (N,n,ε,θ) is known in advance, PAWN might not allow to distinguish an influential, non-additive model input from a truly non-influential model input.



中文翻译:

PAWN灵敏度指标的灵敏度分析

作为敏感性度量,PAWN指数在建模社区中越来越受欢迎。但是,尚未对其设计参数的稳健性进行审查:尺寸(ñ)和采样(ε)的模型输出,调理间隔数(ñ)或摘要统计信息(θ)。在这里,我们通过对基于PAWN的敏感性分析进行敏感性分析来填补这一空白。我们将结果与Sobol总订单指数的设计不确定性进行比较(小号Ť一世)。不像在小号Ť一世,PAWN中的设计不确定性会在对输入进行排名或筛选时,产生产生偏差结果的机会微不足道。PAWN对(ññεθ)很难驯服,因为这些参数会相互影响。即使在理想的环境中,(ññεθ)是事先已知的,PAWN可能不允许将有影响的,非加性的模型输入与真正的无影响的模型输入区分开。

更新日期:2020-02-26
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