Premium
Loop eigenvalue elasticity analysis: three case studies
Author(s) -
Kampmann Christian Erik,
Oliva Rogelio
Publication year - 2006
Publication title -
system dynamics review
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.491
H-Index - 57
eISSN - 1099-1727
pISSN - 0883-7066
DOI - 10.1002/sdr.333
Subject(s) - eigenvalues and eigenvectors , nonlinear system , elasticity (physics) , chaotic , limiting , econometrics , computer science , strengths and weaknesses , mathematics , artificial intelligence , psychology , engineering , physics , social psychology , quantum mechanics , thermodynamics , mechanical engineering
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.