Coordination of Contrariety and Ambiguity in Comparative Compositional Contexts: Balance of Normalized Definitive Status in Multi-indicator Systems



We address oppositional aspects of comparative compositional contexts for some particular purpose. Compositional components of land cover in localities provide our context, with the exemplifying purpose being cooperative conservation. A subset of cover components is considered definitely propitious (pro) for the purpose, with another subset being definitely contraindicative (con), and the rest as ambiguous “other.” Plotting percent pro on the ordinate and percent con on the abscissa gives a “definitive domain display” for visualization. A “Balance Of Normalized Definitive Status” (BONDS) is used for scalar sequencing. Using concepts of “down-set” and “up-set” from theory of partially ordered sets (posets), this is extended to obtain an intrinsically compositional context of pro and con that applies objectively to any suite of (monotonic) indicators. Indicators are eliminated in a systematic manner to resolve ties in the extended version by lexicographic suborder. Computations are specified in terms of R software.


Land Cover Data Frame National Land Cover Database Spatial Setting Strip Minis 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  1. 1.Penn State Institutes of Energy and EnvironmentThe Pennsylvania State UniversityUniversity ParkUSA
  2. 2.Center for Statistical Ecology and Environmental Statistics, Department of StatisticsThe Pennsylvania State UniversityUniversity ParkUSA

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