Wind-induced vibrations commonly represent the leading criterion in the design of long-span bridges. By well accepted classification, the aerodynamic forces are categorized into static, selfexcited and buffeting forces for which different formulations apply based on the quasi-steady and the linear unsteady air-foil theory. This paper aims to investigate different formulations of the selfexcited and buffeting forces in time domain by comparing the dynamic response of a cable-stayed bridge during the critical erection condition. The models are viewed from a complexity perspective, comparing the assumptions implied such as aerodynamic damping, admittance, fluid memory, aerodynamic nonlinearity and aerodynamic coupling. These are quantified based for design windspeeds which are typical for the construction stage.