Modeling of the Linear Fresnel collectors in a real environment using standardized, state-of-the-art approaches is still inaccurate, yet it is crucial for robust loop control and collector yield assessment. Two advanced parameter identification methodologies -ParaID by Fraunhofer ISE and RealTrackEff by the Cyprus Institute -are compared in terms of the underlying equations, which extend ISO 9806. Both approaches are then applied to a Linear Fresnel collector research facility at the Cyprus Institute, for which a database of more than 50 measurement days is available, including reflectometric measurements. For both methods, several variations with increasing complexity are tested and the quality of the resulting fit in terms of outlet temperature is studied. Both methods take into account soiling/cleanliness and nonlinear collector behavior. While ParaID focuses on the identification of the IAMs in a real environment, the method by the Cyprus Institute links the efficiency to non-linear tracking effects. Real collector characteristics like varying cleanliness and asymmetric collector behavior are found to have a strong impact on the collector performance and the identified parameters. For the ParaID approach, additional results regarding confidence intervals based on Bootstrapping and regarding identified Incidence Angle Modifiers are presented.