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Information gap analysis of flood model uncertainties and regional frequency analysis

Lookup NU author(s): Professor Jim Hall

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Abstract

Flood risk analysis is subject to often severe uncertainties, which can potentially undermine flood management decisions. This paper explores the use of information gap theory to analyze the sensitivity of flood management decisions to uncertainties in flood inundation models and flood frequency analysis. Information gap is a quantified nonprobabilistic theory of robustness. To analyze uncertainties in flood modeling, an energy-bounded information gap model is established and applied first to a simplified uniform channel and then to a more realistic 2-D flood model. Information gap theory is then applied to the estimation of flood discharges using regional frequency analysis. The use of an information gap model is motivated by the notion that hydrologically similar sites are clustered in the space of their L moments. The information gap model is constructed around a parametric statistical flood frequency analysis, resulting in a hybrid model of uncertainty in which natural variability is handled statistically while epistemic uncertainties are represented in the information gap model. The analysis is demonstrated for sites in the Trent catchment, United Kingdom. The analysis is extended to address ungauged catchments, which, because of the attendant uncertainties in flood frequency analysis, are particularly appropriate for information gap analysis. Finally, the information gap model of flood frequency is combined with the treatment of hydraulic model uncertainties in an example of how both sources of uncertainty can be accounted for using information gap theory in a flood risk management decision.


Publication metadata

Author(s): Hine D, Hall JW

Publication type: Article

Publication status: Published

Journal: Water Resources Research

Year: 2010

Volume: 46

Print publication date: 30/01/2010

ISSN (print): 0043-1397

ISSN (electronic): 1944-7973

Publisher: American Geophysical Union

URL: http://dx.doi.org/10.1029/2008WR007620

DOI: 10.1029/2008WR007620

Notes: Paper number: W01514 19 pages


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Funding

Funder referenceFunder name
GR/S18052UK Engineering and Physical Science Research Council

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