Two methods for model behavioural analysis are implemented on a simple 2nd order non-linear model. The results of applying Fordís behavioral approach are compared with those obtained using both system-wide and variable-specific loop eigenvalue elasticity analysis. Differences in the division of the time span into analysis intervals are identified as are discrepancies in the outcomes. The effort required for implementation and the necessity for automation also differ substantially. We consider Fordís method readily understandable, whereas the mathematically more powerful eigenvalue elasticity analysis poses difficulties in this regard. Future directions for research on model behavioural analysis are identified based on the results of this critical comparison and the learning associated with our development of a prototypical automated model behavioural analysis framework.