The application of cause-and-effect analysis to mathematical models of geophysical phenomena 2. Stability analysis

N. G. Andronova, M. E. Schlesinger

Research output: Contribution to journalArticlepeer-review

Abstract

In a recent paper we formulated a "cause-and-effect analysis' (CEA) technique and applied it to determine the sensitivity of mathematical models of geophysical phenomena. Here we apply the CEA technique to investigate the stability of such mathematical models. The use of the resulting graph analog stability conditions is then illustrated by application to two CP systems, the Chapman photochemical cycle and an energy balance climate model, and to a DP system, a finite-differenced differential equation. The use of CEA stability analysis permits one to visualize and thereby understand the interactions among a system's internal variables. -from Authors

Original languageEnglish (US)
Pages (from-to)5911-5919
Number of pages9
JournalJournal of Geophysical Research
Volume97
Issue numberD5
DOIs
StatePublished - Jan 1 1992

ASJC Scopus subject areas

  • Geophysics
  • Forestry
  • Oceanography
  • Aquatic Science
  • Ecology
  • Water Science and Technology
  • Soil Science
  • Geochemistry and Petrology
  • Earth-Surface Processes
  • Atmospheric Science
  • Earth and Planetary Sciences (miscellaneous)
  • Space and Planetary Science
  • Palaeontology

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