Regionalization of watersheds based on the concept of rough set
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Regionalization of watersheds based on the concept of rough set Ali Ahani1 · S. Saeid Mousavi Nadoushani1 · Ali Moridi1 Received: 10 August 2019 / Accepted: 17 July 2020 © Springer Nature B.V. 2020
Abstract In this study, an algorithm inspired by some concepts of the rough set theory is proposed for regionalization of watersheds. The algorithm includes a clustering step and a classification step and utilizes canonical correlation analysis and cluster analysis methods. The proposed algorithm can use flood-related features to form feature vectors for gauged watersheds and also, it can be applied to an area including both gauged and ungauged watersheds. The results of applying the method to the basin Sefidrud in Iran show that when all the watersheds in the study area are considered as gauged, the proposed algorithm clearly provides more suitable results in comparison with a common cluster analysis method in terms of the number of watersheds assigned to the homogeneous regions. Also, by performing a leave-one-out procedure to consider each watershed as ungauged in one turn, the ability of the proposed algorithm in simultaneous regionalization of gauged and ungauged watersheds was examined. According to the results, for the number of regions 2, 3, 4, and 5, the proposed algorithm outperforms the common clustering algorithm used for regionalization in terms of the number of watersheds assigned to homogeneous regions. Keywords Cluster analysis · Homogeneity · Regionalization · Regional flood frequency analysis · Rough set · Ungauged watershed
1 Introduction Flood frequency analysis (FFA) is a statistical analysis method to estimate the flood quantiles corresponding to specified return periods. If the flood data record of a site of interest or a watershed is long enough, the at-site flood frequency analysis methods can be used to * S. Saeid Mousavi Nadoushani [email protected] Ali Ahani [email protected] Ali Moridi [email protected] 1
Department of Water Resources Management, Abbaspour School of Engineering, Faculty of Civil, Water and Environmental Engineering, Shahid Beheshti University, Bahar Blvd., Hakimiyeh, Tehran 1658953571, Iran
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estimate the flood quantiles for the watersheds. On the other hand, when the objective is flood estimation for ungauged watersheds or watersheds with short flood data records, the regional flood frequency analysis (RFFA) methods may be a more efficient option. Most of RFFA methods are based on the index-flood method introduced by Dalrymple (1960). Hosking and Wallis (1997) revised index-flood method by using L-moment theory developed by Hosking (1990). The RFFA method developed by Hosking and Wallis (1997) was used widely by several researchers in regional frequency analysis of hydrological extreme events (e.g., Ramachandra Rao and Srinivas 2006a, b; Srinivas et al. 2008; Viglione et al. 2007; Sadri and Burn 2011; Abdolhay et al. 2012; Razavi and Coulibaly 2013; Du et al. 2014; Basu and Srinivas 2014; Zamani et al. 2015; Liu et al. 201
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