Journal cover Journal topic
Natural Hazards and Earth System Sciences An interactive open-access journal of the European Geosciences Union
https://doi.org/10.5194/nhess-2017-12
© Author(s) 2017. This work is distributed under
the Creative Commons Attribution 3.0 License.
Research article
02 Feb 2017
Review status
This discussion paper is a preprint. A revision of this manuscript was accepted for the journal Natural Hazards and Earth System Sciences (NHESS) and is expected to appear here in due course.
Using graphs to find economically optimal safety targets for multiple lines of flood defences
Egidius Johanna Cassianus Dupuits1, Ferdinand Lennaert Machiel Diermanse2, and Matthijs Kok1 1Delft University of Technology, Faculty of Civil Engineering and Geosciences, P.O. Box 5048, 2600 GA Delft, Netherlands
2Deltares Unit Inland Water Systems, department of Flood Risk Management, P.O. Box 177, 2600 MH Delft, Netherlands
Abstract. Flood defences can be designed as multiple lines of defence. This paper presents an approach for finding an optimal configuration for flood defence systems, based on an economic cost-benefit analysis with an arbitrary number of interdependent lines of defence. The proposed approach is based on a graph algorithm and is, thanks to some beneficial properties of the application, able to traverse large problems. A number of case studies were carried out to compare the optimal paths found by the proposed approach with the results of competing methods, and were found to generate (near) identical results. The work presented here makes cost-benefit analyses of complex flood defence systems with interdependent multiple lines of defence both easier and applicable to a broad range of flood defence systems with multiple lines of defence.

Citation: Dupuits, E. J. C., Diermanse, F. L. M., and Kok, M.: Using graphs to find economically optimal safety targets for multiple lines of flood defences, Nat. Hazards Earth Syst. Sci. Discuss., https://doi.org/10.5194/nhess-2017-12, in review, 2017.
Egidius Johanna Cassianus Dupuits et al.
Interactive discussionStatus: closed
AC: Author comment | RC: Referee comment | SC: Short comment | EC: Editor comment
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RC1: 'Review of NHESS-2017-12', Anonymous Referee #1, 05 Mar 2017 Printer-friendly Version 
AC1: 'Response to review', Guy Dupuits, 11 May 2017 Printer-friendly Version Supplement 
 
RC2: 'Referee report on Dupuits et al (2017)', Anonymous Referee #2, 10 Mar 2017 Printer-friendly Version Supplement 
AC2: 'Response to review', Guy Dupuits, 11 May 2017 Printer-friendly Version Supplement 
Egidius Johanna Cassianus Dupuits et al.
Egidius Johanna Cassianus Dupuits et al.

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Short summary
Flood defences, such as levees, emergency storage basins or storm surge barriers, can be designed as multiple lines of defence. If each line of defence has a number of possible levels, the total number of possible system configurations can be large. This paper presents an approach that is able to find an optimal configuration including future adaptations of such a flood defence system, based on an economic cost-benefit analysis.
Flood defences, such as levees, emergency storage basins or storm surge barriers, can be...
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