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New combinatorial clustering methods

  • Chapter
Numerical syntaxonomy

Part of the book series: Advances in vegetation science ((AIVS,volume 10))

Abstract

Sixteen clustering methods are compatible with the general recurrence equation of combinatorial SAHN (sequential, agglomerative, hierarchical and nonoverlapping) classificatory strategies. These are subdivided into two classes: the d-SAHN methods seek for minimal between-cluster distances the h-SAHN strategies for maximal within-cluster homogeneity. The parameters and some basic features of all combinatorial methods are listed to allow comparisons between these two families of clustering procedures. Interest is centred on the h-SAHN techniques; the derivation of updating parameters is presented and the monotonicity properties are examined. Three new strategies are described, a weighted and an unweighted variant of the minimization of the increase of average distance within clusters and a homogeneity-optimizing flexible method. The performance of d- and h-SAHN techniques is compared using field data from the rock grassland communities of the Sashegy Nature Reserve, Budapest, Hungary.

Nomenclature

of syntaxa follows Soó, R. 1964. Synopsis systematico-geobotanica florae vegetationisque Hungariae I. Akadémiai, Budapest.

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Abbreviations

CP:

Closest pair

RNN:

Reciprocal nearest neighbor

SAHN:

Sequential, agglomerative, hierarchical and nonoverlapping

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L. Mucina M. B. Dale

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© 1989 Kluwer Academic Publishers

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Podani, J. (1989). New combinatorial clustering methods. In: Mucina, L., Dale, M.B. (eds) Numerical syntaxonomy. Advances in vegetation science, vol 10. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-2432-1_5

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  • DOI: https://doi.org/10.1007/978-94-009-2432-1_5

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-7597-8

  • Online ISBN: 978-94-009-2432-1

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