Loop Eigenvalue Elasticity Analysis:
Three Case Studies
Christian Erik Kampmann
Copenhagen Business School
Birk Centerpark 40; 7400 Herning, Denmark
Phone +45-8662-8444; Fax +45-9629-6460
cek.lpf@cbs.dk
Rogelio Oliva
Mays Business School
Wehner 301-C TAMU 4217; College Station, TX 77843
Phone 979-862-3744; Fax 979-845-5653
roliva@tamu.edu
Kampmann CE, Oliva R. 2006.
Loop eigenvalue elasticity analysis: Three case studies.
System Dynamics Review 22(2):141-162.
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 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 the nonlinear chaotic model reveals that the eigenvalues can change substantially over time even during phases when the mode of behavior appears constant. The paper concludes with our thoughts on the strengths and wakenesses of the LEEA and suggestions for future work.
(Model behavior analysis; Eigenvalue elasticity; Independent loop set; Methodology)
Download
Download LEEA documentation of paper's models
* Industrial Structures model
Vensim Model
* Lorenz model
Vensim Model
* Mass model
Vensim Model
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Last updated September 22, 2017.