Vensim's structural intelligence (loop dominance) tools are based on the published research below. These papers are the best place to learn more about the methods and how to interpret them.
Eigenvalue elasticity analysis
•Forrester, N. B. (1982). A Dynamic Synthesis of Basic Macroeconomic Theory: Implications for Stabilization Policy Analysis. PhD dissertation, Massachusetts Institute of Technology.
•Kampmann, C. E. (2012). Feedback loop gains and system behavior. System Dynamics Review 28(4), 370-395. (First presented at the 1996 International System Dynamics Conference.)
•Oliva, R. (2004). Model structure analysis through graph theory: partition heuristics and feedback structure decomposition. System Dynamics Review 20(4).
•Kampmann, C. E. and Oliva, R. (2006). Loop eigenvalue elasticity analysis: three case studies. System Dynamics Review 22(2).
•Güneralp, B. (2006). Towards coherent loop dominance analysis: progress in eigenvalue elasticity analysis. System Dynamics Review 22(3).
•Kampmann, C. E. and Oliva, R. (2008). Structural dominance analysis and theory building in system dynamics. Systems Research and Behavioral Science 25(4).
•Gonçalves, P. (2009). Behavior modes, pathways and overall trajectories: eigenvector and eigenvalue analysis of dynamic systems. System Dynamics Review 25(1).
•Saleh, M., Oliva, R., Kampmann, C. E. and Davidsen, P. I. (2010). A comprehensive analytical approach for policy analysis of system dynamics models. European Journal of Operational Research 203(3).
•Oliva, R. (2016). Structural dominance analysis of large and stochastic models. System Dynamics Review 32(1).
•Naumov, S. and Oliva, R. (2018). Refinements on eigenvalue elasticity analysis: interpretation of parameter elasticities. System Dynamics Review 34(3), 426-437.
•Oliva, R. (2020). On structural dominance analysis. System Dynamics Review 36(1), 8-28.
Loop impact, force and energy
•Mojtahedzadeh, M. T., Andersen, D. F. and Richardson, G. P. (2004). Using Digest to implement the pathway participation method for detecting influential system structure. System Dynamics Review 20(1).
•Hayward, J. and Boswell, G. P. (2014). Model behaviour and the concept of loop impact: a practical method. System Dynamics Review 30(1-2), 29-57.
•Hayward, J. and Roach, P. A. (2017). Newton's laws as an interpretive framework in system dynamics. System Dynamics Review 33(3-4), 183-218.
•Hayward, J. and Roach, P. A. (2022). The concept of energy in the analysis of system dynamics models. System Dynamics Review 38(1), 5-40.
•Hayward, J. and Roach, P. A. (2024). A comparison of loop dominance methods: measures and meaning. System Dynamics Review 40(2), e1757.
Related methods
•Ford, D. N. (1999). A behavioral approach to feedback loop dominance analysis. System Dynamics Review 15(1).
•Saleh, M. and Davidsen, P. I. (2000). An eigenvalue approach to feedback loop dominance analysis in non-linear dynamic models. Proceedings of the 18th International Conference of the System Dynamics Society, Bergen.
•Huang, J., Howley, E. and Duggan, J. (2012). Observations on the shortest independent loop set algorithm. System Dynamics Review 28(3).
See also
