Loop Eigenvalue Elasticity Analysis: Three Case Studies

    Publikation: Bidrag til tidsskriftTidsskriftartikel

    Abstrakt

    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.
    OriginalsprogEngelsk
    TidsskriftSystem Dynamics Review
    Vol/bind22
    Udgave nummer2
    Sider (fra-til)141-162
    ISSN0883-7066
    DOI
    StatusUdgivet - 2006

    Emneord

    • Systemteori
    • Teoretisk statistik
    • Lorenz modellen
    • LEEA
    • Pathway Participation Metric

    Citationsformater