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Hydrological determination of hierarchical clustering scheme by using small experimental matrix

Date

2007

Authors

Demirel, M. Cüneyd, author
Kahya, Ercan, author
Colorado State University, publisher

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Abstract

In this investigation we tested the performance of five available hierarchical clustering algorithms and nine distance metrics. An arbitrarily chosen experimental matrix (6x3) was used in this analysis to evaluate 45 clustering schemes using the dendrogram and cophonet coefficient index. Priori knowledge of cluster dispersion was the key element to determine non-useful cluster structures. The combination of Euclidean metric and Wards method is most preferred to define homogenous clusters in hydrological studies; however, the combination of Mahalanobis metric and Average Linkage method emerged with a higher cophonet index (0.90420). The most efficient grouping was achieved by the use of City Block and Euclidean metrics in all combinations while the other distance metrics resulted in a non-interpretable dendrogram. Major dendrogram plots and the cophonet index values are presented for visual comparison.

Description

2007 annual AGU hydrology days was held at Colorado State University on March 19 - March 21, 2007.
Includes bibliographical references.

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