Loop eigenvalue elasticity analysis: three case studies

Christian Erik Kampmann · Rogelio Oliva

75 citations0/0 files storedSystem Dynamics Review

No readable copy stored yet — this record is metadata only.

No open-access location is known for this record yet.

Literature note Cite in a project Citation map

Complex Systems and Decision Making Simulation Techniques and Applications Complex Systems and Dynamics

Abstract

We explore the application of loop eigenvalue elasticity analysis (LEEA) to three different models in order to assess the potential of the method for generating insights about model behavior and to uncover issues in developing the method further. The results indicate that the utility of the method depends upon the character of the model and dynamics involved. In models where the transient behavior is of interest, the method yields insights on a par with the pathway participation method, though better tools to link the method to time paths of particular variables are needed. In quasi-linear models, LEEA shows the most promise, quickly revealing the different behavior modes and the associated dominant structures. Finally, analysis of a nonlinear chaotic model reveals that the eigenvalues may change rapidly even during phases when the mode of behavior appears constant, limiting the insights gained from LEEA analysis. The paper concludes with our thoughts on the strengths and weaknesses of the LEEA and suggestions for future work. Copyright © 2006 John Wiley & Sons, Ltd.

Paper brief

Loading…

Cite this work

Citation unavailable for this work.

BibTeX RIS CSL-JSON

No public copy is stored for this record, so only the metadata is cited.

Citations in this library

Citation map →

Stored only when both papers are in the corpus — 75 citations exist upstream.

References

1991The fifth discipline, the art and practice of the learning organization 1990The Fifth Discipline 1969Urban Dynamics 1989Multiple tests for validation of system dynamics type of simulation models 1997Study Notes in System Dynamics 1995Loop polarity, loop dominance, and the concept of dominant polarity (1984)1999A behavioral approach to feedback loop dominance analysis 2004Model structure analysis through graph theory: partition heuristics and feedback structure decomposition

Cited by

2012Feedback loop gains and system behavior (1996)2006Towards coherent loop dominance analysis: progress in eigenvalue elasticity analysis 2008Behavior Modes, Pathways and Overall Trajectories: Eigenvector and Eigenvalue Analysis of Dynamic Systems 2009Improving model understanding using statistical screening 2020Understanding model behavior using the Loops that Matter method 2008Structural dominance analysis and theory building in system dynamics

Explore the map →

Papers that cite the same references — the relational fallback while embeddings are still backfilling.

Imported from OpenAlex (CC0) — nothing here is generated.