Sensitivity analysis for comparison, validation and physical-legitimacy of neural network-based hydrological models

This paper addresses the difficult question of how to perform meaningful comparisons between neural network-based hydrological models and alternative modelling approaches. Standard, goodness-of-fit metric approaches are limited since they only assess numerical performance and not physical legitimacy...

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Main Authors: Dawson, C.W., Mount, Nick J., Abrahart, R.J., Louis, J.
Format: Article
Published: IWA Publishing 2014
Subjects:
Online Access:https://eprints.nottingham.ac.uk/28054/
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author Dawson, C.W.
Mount, Nick J.
Abrahart, R.J.
Louis, J.
author_facet Dawson, C.W.
Mount, Nick J.
Abrahart, R.J.
Louis, J.
author_sort Dawson, C.W.
building Nottingham Research Data Repository
collection Online Access
description This paper addresses the difficult question of how to perform meaningful comparisons between neural network-based hydrological models and alternative modelling approaches. Standard, goodness-of-fit metric approaches are limited since they only assess numerical performance and not physical legitimacy of the means by which output is achieved. Consequently, the potential for general application or catchment transfer of such models is seldom understood. This paper presents a partial derivative, relative sensitivity analysis method as a consistent means by which the physical legitimacy of models can be evaluated. It is used to compare the behaviour and physical rationality of a generalised linear model and two neural network models for predicting median flood magnitude in rural catchments. The different models perform similarly in terms of goodness-of-fit statistics, but behave quite distinctly when the relative sensitivities of their inputs are evaluated. The neural solutions are seen to offer an encouraging degree of physical legitimacy in their behaviour, over that of a generalised linear modelling counterpart, particularly when overfitting is constrained. This indicates that neural models offer preferable solutions for transfer into ungauged catchments. Thus, the importance of understanding both model performance and physical legitimacy when comparing neural models with alternative modelling approaches is demonstrated.
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spelling nottingham-280542020-05-04T20:16:22Z https://eprints.nottingham.ac.uk/28054/ Sensitivity analysis for comparison, validation and physical-legitimacy of neural network-based hydrological models Dawson, C.W. Mount, Nick J. Abrahart, R.J. Louis, J. This paper addresses the difficult question of how to perform meaningful comparisons between neural network-based hydrological models and alternative modelling approaches. Standard, goodness-of-fit metric approaches are limited since they only assess numerical performance and not physical legitimacy of the means by which output is achieved. Consequently, the potential for general application or catchment transfer of such models is seldom understood. This paper presents a partial derivative, relative sensitivity analysis method as a consistent means by which the physical legitimacy of models can be evaluated. It is used to compare the behaviour and physical rationality of a generalised linear model and two neural network models for predicting median flood magnitude in rural catchments. The different models perform similarly in terms of goodness-of-fit statistics, but behave quite distinctly when the relative sensitivities of their inputs are evaluated. The neural solutions are seen to offer an encouraging degree of physical legitimacy in their behaviour, over that of a generalised linear modelling counterpart, particularly when overfitting is constrained. This indicates that neural models offer preferable solutions for transfer into ungauged catchments. Thus, the importance of understanding both model performance and physical legitimacy when comparing neural models with alternative modelling approaches is demonstrated. IWA Publishing 2014 Article PeerReviewed Dawson, C.W., Mount, Nick J., Abrahart, R.J. and Louis, J. (2014) Sensitivity analysis for comparison, validation and physical-legitimacy of neural network-based hydrological models. Journal of Hydroinformatics, 16 (2). pp. 407-424. ISSN 1464-7141 generalised linear model; index flood; neural network; partial derivative; physical legitimacy; sensitivity analysis; ungauged catchment http://www.iwaponline.com/jh/016/jh0160407.htm doi:10.2166/hydro.2013.222 doi:10.2166/hydro.2013.222
spellingShingle generalised linear model; index flood; neural network; partial derivative; physical legitimacy; sensitivity analysis; ungauged catchment
Dawson, C.W.
Mount, Nick J.
Abrahart, R.J.
Louis, J.
Sensitivity analysis for comparison, validation and physical-legitimacy of neural network-based hydrological models
title Sensitivity analysis for comparison, validation and physical-legitimacy of neural network-based hydrological models
title_full Sensitivity analysis for comparison, validation and physical-legitimacy of neural network-based hydrological models
title_fullStr Sensitivity analysis for comparison, validation and physical-legitimacy of neural network-based hydrological models
title_full_unstemmed Sensitivity analysis for comparison, validation and physical-legitimacy of neural network-based hydrological models
title_short Sensitivity analysis for comparison, validation and physical-legitimacy of neural network-based hydrological models
title_sort sensitivity analysis for comparison, validation and physical-legitimacy of neural network-based hydrological models
topic generalised linear model; index flood; neural network; partial derivative; physical legitimacy; sensitivity analysis; ungauged catchment
url https://eprints.nottingham.ac.uk/28054/
https://eprints.nottingham.ac.uk/28054/
https://eprints.nottingham.ac.uk/28054/