Sectional global sensitivity measures

In this paper the approach of sectional sensitivity measures is introduced. Opposite to well-known global sensitivity measures not only a singleton value is provided to appraise the functional input–output interrelation but rather a more detailed description of these interrelation is enabled. Therefore, the domain of definition (input space) and/or the codomain (result space) are subdivided in a finite number of subdomains/subranges. The evaluation of global sensitivity measures in these subdomains/subranges allows for a proper appraisal of the functional interrelation in local regions. The theoretic background of sectional sensitivity measures is elaborated in detail and exemplified by means of analytical functions. The advantages of sectional sensitivity measures are discussed by means of a medical intervention planning of a radio frequency ablation. - Highlights: • Global sensitivity measures provide just a singleton value per input dimension. • Sectional sensitivity measures enable evaluation of functional interrelation. • Subdivision of input and output in intervals (subdomains). • Usage of absolute partial derivatives as sensitivity measure. • Regional sensitivity statements in input as well as in output space possible