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| Titel |
Optimization of model parameters and experimental designs with the Optimal Experimental Design Toolbox (v1.0) exemplified by sedimentation in salt marshes |
| VerfasserIn |
J. Reimer, M. Schuerch, T. Slawig |
| Medientyp |
Artikel
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| Sprache |
Englisch
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| ISSN |
1991-959X
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| Digitales Dokument |
URL |
| Erschienen |
In: Geoscientific Model Development ; 8, no. 3 ; Nr. 8, no. 3 (2015-03-25), S.791-804 |
| Datensatznummer |
250116187
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| Publikation (Nr.) |
 copernicus.org/gmd-8-791-2015.pdf |
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| Zusammenfassung |
The geosciences are a highly suitable field of application for optimizing model
parameters and experimental designs especially because many data are
collected.
In this paper, the weighted least squares estimator for optimizing model
parameters is presented together with its asymptotic properties. A popular
approach to optimize experimental designs called local optimal experimental
designs is described together with a lesser known approach which takes into
account the potential nonlinearity of the model parameters. These two
approaches have been combined with two methods to solve their underlying
discrete optimization problem.
All presented methods were implemented in an open-source MATLAB toolbox
called the Optimal Experimental Design Toolbox whose structure and
application is described.
In numerical experiments, the model parameters and experimental design were
optimized using this toolbox. Two existing models for sediment concentration
in seawater and sediment accretion on salt marshes of different complexity
served as an application example. The advantages and disadvantages of these
approaches were compared based on these models.
Thanks to optimized experimental designs, the parameters of these models
could be determined very accurately with significantly fewer measurements
compared to unoptimized experimental designs. The chosen optimization
approach played a minor role for the accuracy; therefore, the approach with the
least computational effort is recommended. |
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