The current work is a theory-oriented research that tries to address a theoretical discussion on sustainability analysis of complex systems by using SD methodology and MuSIASEM in an evaluative exercise. MuSIASEM as one of the latest frameworks developed for a bio-economic analysis is tested using SD methodology in order to assess its applicability for dynamic systems analysis. Three modeling exercise were performed under MuSIASEM theoretical guidance and following SD principles. An appraisal of the compatibility and feedback learning of the combination of both is developed in the light of further energy studies for sustainability, having special focus on the dynamic component of any sustainability assessment.