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        <title>Insights into sensitivity analysis of Earth and environmental systems models: On the impact of parameter perturbation scale</title>
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    <name type="personal">
        <namePart type="given">Amin</namePart>
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        <namePart type="given">Saman</namePart>
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    <abstract>Abstract This paper investigates the commonly overlooked “sensitivity” of sensitivity analysis (SA) to what we refer to as parameter “perturbation scale”, which can be defined as a prescribed size of the sensitivity-related neighbourhood around any point in the parameter space (analogous to step size Δ x for numerical estimation of derivatives). We discuss that perturbation scale is inherent to any (local and global) SA approach, and explain how derivative-based SA approaches (e.g., method of Morris) focus on small-scale perturbations, while variance-based approaches (e.g., method of Sobol) focus on large-scale perturbations. We employ a novel variogram-based approach, called Variogram Analysis of Response Surfaces (VARS), which bridges derivative- and variance-based approaches. Our analyses with different real-world environmental models demonstrate significant implications of subjectivity in the perturbation-scale choice and the need for strategies to address these implications. It is further shown how VARS can uniquely characterize the perturbation-scale dependency and generate sensitivity measures that encompass all sensitivity-related information across the full spectrum of perturbation scales.</abstract>
    <identifier type="citekey">Haghnegahdar-2017-Insights</identifier>
    <identifier type="doi">10.1016/j.envsoft.2017.03.031</identifier>
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        <url>https://gwf-uwaterloo.github.io/gwf-publications/G17-13001</url>
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        <date>2017</date>
        <detail type="volume"><number>95</number></detail>
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            <start>115</start>
            <end>131</end>
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%0 Journal Article
%T Insights into sensitivity analysis of Earth and environmental systems models: On the impact of parameter perturbation scale
%A Haghnegahdar, Amin
%A Razavi, Saman
%J Environmental Modelling & Software, Volume 95
%D 2017
%V 95
%I Elsevier BV
%F Haghnegahdar-2017-Insights
%X Abstract This paper investigates the commonly overlooked “sensitivity” of sensitivity analysis (SA) to what we refer to as parameter “perturbation scale”, which can be defined as a prescribed size of the sensitivity-related neighbourhood around any point in the parameter space (analogous to step size Δ x for numerical estimation of derivatives). We discuss that perturbation scale is inherent to any (local and global) SA approach, and explain how derivative-based SA approaches (e.g., method of Morris) focus on small-scale perturbations, while variance-based approaches (e.g., method of Sobol) focus on large-scale perturbations. We employ a novel variogram-based approach, called Variogram Analysis of Response Surfaces (VARS), which bridges derivative- and variance-based approaches. Our analyses with different real-world environmental models demonstrate significant implications of subjectivity in the perturbation-scale choice and the need for strategies to address these implications. It is further shown how VARS can uniquely characterize the perturbation-scale dependency and generate sensitivity measures that encompass all sensitivity-related information across the full spectrum of perturbation scales.
%R 10.1016/j.envsoft.2017.03.031
%U https://gwf-uwaterloo.github.io/gwf-publications/G17-13001
%U https://doi.org/10.1016/j.envsoft.2017.03.031
%P 115-131

Markdown (Informal)

[Insights into sensitivity analysis of Earth and environmental systems models: On the impact of parameter perturbation scale](https://gwf-uwaterloo.github.io/gwf-publications/G17-13001) (Haghnegahdar & Razavi, GWF 2017)

• Insights into sensitivity analysis of Earth and environmental systems models: On the impact of parameter perturbation scale (Haghnegahdar & Razavi, GWF 2017)

ACL

• Amin Haghnegahdar and Saman Razavi. 2017. Insights into sensitivity analysis of Earth and environmental systems models: On the impact of parameter perturbation scale. Environmental Modelling & Software, Volume 95, 95:115–131.