Abstract for: Dominance Analysis Using Pathway Force Decomposition
This paper proposes a formal and mathematically rigorous framework for defining dominance based on necessary and sufficient conditions. A procedure is outlined for identifying dominant structure which is tested against several forms of the logistic growth model. The procedure is compared with other dominance methods such as PPM, LEEA, Ford's method, and the Loop Impact method. Relationships are identified between each method. The framework also indicates the robustness or fragility of a system. Shifts in dominance were found to occur when systems exist in fragile states in the dominance framework. The framework captures both structural and behavioral aspects of dominance found in other dominance methods. It also establishes a mathematical basis and definition for observed phenomena such as shadow loop dominance and multiple loop dominance.