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Open AccessArticle

Role of Cluster Validity Indices in Delineation of Precipitation Regions

1
Department of Civil and Environmental Engineering, Western University, London, ON N6A 3K7, Canada
2
Department of Civil and Environmental Engineering, Indian Institute of Technology Tirupati, Renigunta, Tirupati 517506, India
*
Author to whom correspondence should be addressed.
Deceased: 29 August 2017.
Water 2020, 12(5), 1372; https://doi.org/10.3390/w12051372
Received: 1 April 2020 / Revised: 5 May 2020 / Accepted: 8 May 2020 / Published: 12 May 2020
(This article belongs to the Special Issue Modelling Precipitation in Space and Time)
The delineation of precipitation regions is to identify homogeneous zones in which the characteristics of the process are statistically similar. The regionalization process has three main components: (i) delineation of regions using clustering algorithms, (ii) determining the optimal number of regions using cluster validity indices (CVIs), and (iii) validation of regions for homogeneity using L-moments ratio test. The identification of the optimal number of clusters will significantly affect the homogeneity of the regions. The objective of this study is to investigate the performance of the various CVIs in identifying the optimal number of clusters, which maximizes the homogeneity of the precipitation regions. The k-means clustering algorithm is adopted to delineate the regions using location-based attributes for two large areas from Canada, namely, the Prairies and the Great Lakes-St Lawrence lowlands (GL-SL) region. The seasonal precipitation data for 55 years (1951–2005) is derived using high-resolution ANUSPLIN gridded point data for Canada. The results indicate that the optimal number of clusters and the regional homogeneity depends on the CVI adopted. Among 42 cluster indices considered, 15 of them outperform in identifying the homogeneous precipitation regions. The Dunn, D e t _ r a t i o and Trace( W 1 B ) indices found to be the best for all seasons in both the regions. View Full-Text
Keywords: precipitation; regionalization; clustering; homogeneity; L-moments; cluster validity indices precipitation; regionalization; clustering; homogeneity; L-moments; cluster validity indices
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MDPI and ACS Style

Bhatia, N.; Sojan, J.M.; Simonovic, S.; Srivastav, R. Role of Cluster Validity Indices in Delineation of Precipitation Regions. Water 2020, 12, 1372. https://doi.org/10.3390/w12051372

AMA Style

Bhatia N, Sojan JM, Simonovic S, Srivastav R. Role of Cluster Validity Indices in Delineation of Precipitation Regions. Water. 2020; 12(5):1372. https://doi.org/10.3390/w12051372

Chicago/Turabian Style

Bhatia, Nikhil; Sojan, Jency M.; Simonovic, Slobodon; Srivastav, Roshan. 2020. "Role of Cluster Validity Indices in Delineation of Precipitation Regions" Water 12, no. 5: 1372. https://doi.org/10.3390/w12051372

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