Extraction of bipolar SPICE Gummel-Poon parameters related to forward Output (Ic vs. Vc) characteristics 
References
Books
Ian Getreu, Modeling the Bipolar Transistor, Tektronix, Inc., 1976. (This is the essential, classic text. It has a dedicated chapter on extracting parameters like $VAF$, $RC$, and $RE$ directly from the output characteristics.)
S. M. Sze and Kwok K. Ng, Physics of Semiconductor Devices, 3rd ed., Wiley, 2006. (Provides the detailed physics behind the Early effect (base-width modulation) and the behavior of the transistor in the saturation region.)
G. Massobrio and P. Antognetti, Semiconductor Device Modeling with SPICE, 2nd ed., McGraw-Hill, 1993. (Details the SPICE model equations for $VAF$, $RC$, and $RE$ and explains how they create the shape of the output curves, particularly the slope in the active region and the 'knee' of the saturation region.)