Challenging the standard dike freeboard: Methods to quantify statistical uncertainties in river flood protection

Abstract

In most developed and developing nations, a freeboard is being applied to flood defense structures as a margin of uncertainty in the estimated flood stage. In some jurisdictions, practice is shifting towards the use of confidence intervals based on the fitted flood probability distribution, albeit often relying on only one statistical distribution and on only annual maximum flows. In this paper, we argue that, independent of geotechnical, geomorphological or hydrological uncertainties pertaining to the estimation of flood stage, the application of standard freeboards ignores stochastic uncertainty, the inclusion of which would provide a more scientifically defensible measure for allowable freeboard. The river stage estimate is subject to multiple sources of uncertainty, including but not limited to model and parameter uncertainty. Consequently, freeboards should be determined via a frequency analysis that explicitly takes into consideration, as well as minimizes, the uncertainty of the estimate due to known factors. Confidence intervals are a common way to represent uncertainty of a statistical estimate such as for the river stage. The choice of the confidence level will be critical, and in many cases will be associated with significant cost implications for the construction or upgrade of flood defense structures. Quantitative flood risk assessments, which are emerging as a standard in developed nations, are well suited to address this issue by allowing loss and mitigation cost comparisons for different flood scenarios. Our paper provides guidance for confidence interval calculations of river stage using an extension of the classical peaks-over-threshold method for daily river levels.