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Assessing the Spatial Impact of the Skewness-Ratio Originating from the Time Irreversibility and Long-Range Dependence of Streamflow in Flood Inundation Mapping

Author(s): Panayiotis Dimitriadis; Theano Iliopoulou; Demetris Koutsoyiannis

Linked Author(s): PANAYIOTIS DIMITRIADIS

Keywords: No Keywords

Abstract: The skewness-ratio (i. e., standardized skewness of the differenced process) is shown to have a high impact to the average (over all inundated cells) of flood-related variables, such as depth and velocity, when is originated from a streamflow process exhibiting time-irreversibility (i. e., its joint distribution changes after reflection of time about the origin) and/or long-range dependence (i. e., power-law asymptotic decay of its autocorrelation function). A simple way to quantify time-irreversibility is through the skewness coefficient of the differenced process, while the long-range dependence behaviour can be identified through the climacogram estimator (i. e., adapted for bias variance of the averaged process vs. scale). In this work, the spatial distribution of the skewness-ratio is assessed and quantified through a real case scenario of flood mapping. It is found and discussed that depending on the distance from the river, different degrees of skewness-ratios may exist and have an impact on the temporal distribution of the flood-momentum and the increase of flood-risk.

DOI:

Year: 2022

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