A Theoretical, Multidisciplinary View of Catastrophic Regime Change

  • Juan Gabriel Brida
  • Audrey L. Mayer
  • Christopher McCord
  • Lionello F. Punzo
Conference paper
Part of the Springer Proceedings in Mathematics book series (PROM, volume 2)

Abstract

Dynamic regime theory is used in a growing number of disciplines to understand, manage, and predict system behavior. A variety of mathematical models have been developed for seemingly disparate systems, however the similarity of these models suggests that the systems could be approached as a collection of samples. A multidisciplinary meta-analysis of dynamic regime models could yield several benefits. Given the difficulty of replication and experimentation in real-world systems, a collection of dynamic systems across disciplines and scales could serve as much-needed replicates. If endogenous variables behave similarly regardless of the source of exogenous pressures, and of the scale at which the system is define, then general models, rules and coded behaviors can be developed. Furthermore, if the same basic theory regarding system behavior (including rapid regime change) applies across disciplines at multiple spatiotemporal scales, then models developed from these theories may help manage those systems which, at larger scales, cross traditional disciplinary lines. This result would emphasize the need to collaborate across4.5pc]First author considered as corresponding author. Please check. disciplines to study the sustainability of dynamic systems. Here we discuss the mathematical basis for common dynamic regime models, and then describe their application to sociological, ecological, and economic systems, in a scale-explicit manner.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Juan Gabriel Brida
    • 1
  • Audrey L. Mayer
    • 2
  • Christopher McCord
    • 3
  • Lionello F. Punzo
    • 4
    • 5
  1. 1.Free University of BolzanoBolzanoItaly
  2. 2.Department of Social Sciences and School of Forest Resources and Environmental ScienceMichigan Technological UniversityHoughtonUSA
  3. 3.Department of Mathematical SciencesUniversity of CincinnatiCincinnatiUSA
  4. 4.Department of EconomicsUniversity of SienaSienaItaly
  5. 5.PPED-INCT, UFRJRio de JaneiroBrazil

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