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Higher Order Indicator with Rank-Related Clustering in Multi-indicator Systems

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Abstract

We extend exploration and application of a compound ranking regime for multi-indicator systems based on partial order theory that coordinates principal down-set, up-set, and comparability. We use this “balance of normalized definitive status (BONDS)” ranking in conjunction with augmented hierarchical clustering for comparing clusters as graded groups to obtain information relevant to number of clusters, group-wise ordering, and interaction of indicators. A case study is conducted with localities as instances (objects) and percentages for kinds of land cover as indicators. Hierarchical clustering is accomplished with the hclust facility of R software in conjunction with customized computational support in R.

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Author information

Authors and Affiliations

  1. Penn State Institutes of Energy and Environment, The Pennsylvania State University, 5 Land & Water Research Building, University Park, PA, 16802, USA

    Wayne L. Myers

  2. Center for Statistical Ecology and Environmental Statistics, Department of Statistics, The Pennsylvania State University, 421 Thomas Building, University Park, PA, 16802, USA

    Ganapati P. Patil

Authors
  1. Wayne L. Myers
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  2. Ganapati P. Patil
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Corresponding author

Correspondence to Wayne L. Myers .

Editor information

Editors and Affiliations

  1. Leibniz-Institut für Gewässerökologie und Binnenfischerei, Berlin, Berlin, Germany

    Rainer Brüggemann

  2. Awareness-Center, Roskilde-Veddelev, Denmark

    Lars Carlsen

  3. HTW Berlin, University of Applied Sciences, Berlin, Germany

    Jochen Wittmann

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Myers, W.L., Patil, G.P. (2014). Higher Order Indicator with Rank-Related Clustering in Multi-indicator Systems. In: Brüggemann, R., Carlsen, L., Wittmann, J. (eds) Multi-indicator Systems and Modelling in Partial Order. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-8223-9_16

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