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| Titel |
Maximum entropy production: can it be used to constrain conceptual hydrological models? |
| VerfasserIn |
M. C. Westhoff, E. Zehe |
| Medientyp |
Artikel
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| Sprache |
Englisch
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| ISSN |
1027-5606
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| Digitales Dokument |
URL |
| Erschienen |
In: Hydrology and Earth System Sciences ; 17, no. 8 ; Nr. 17, no. 8 (2013-08-05), S.3141-3157 |
| Datensatznummer |
250085906
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| Publikation (Nr.) |
 copernicus.org/hess-17-3141-2013.pdf |
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| Zusammenfassung |
In recent years, optimality principles have been proposed to
constrain hydrological models. The principle of maximum entropy
production (MEP) is one of the proposed principles and is subject of
this study. It states that a steady state system is organized in
such a way that entropy production is maximized. Although successful
applications have been reported in literature, generally little guidance
has been given on how to apply the principle.
The aim of this paper is to use the maximum power principle – which is
closely related to MEP – to constrain parameters of a simple conceptual
(bucket) model. Although, we had to conclude that conceptual bucket models
could not be constrained with respect to maximum power, this study sheds more
light on how to use and how not to use the principle. Several of these issues
have been correctly applied in other studies, but have not been explained or
discussed as such.
While other studies were based on resistance formulations, where the quantity
to be optimized is a linear function of the resistance to be identified, our
study shows that the approach also works for formulations that are only
linear in the log-transformed space. Moreover, we showed that parameters
describing process thresholds or influencing boundary conditions cannot be
constrained. We furthermore conclude that, in order to apply the principle
correctly, the model should be (1) physically based; i.e. fluxes should be
defined as a gradient divided by a resistance, (2) the optimized flux should
have a feedback on the gradient; i.e. the influence of boundary conditions on
gradients should be minimal, (3) the temporal scale of the model should be
chosen in such a way that the parameter that is optimized is constant over
the modelling period, (4) only when the correct feedbacks are implemented the
fluxes can be correctly optimized and (5) there should be a trade-off between
two or more fluxes. Although our application of the maximum power principle
did not work, and although the principle is a hypothesis that should still be
thoroughly tested, we believe that the principle still has potential in
advancing hydrological science. |
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