“…Since the introduction of a strictly thermodynamics-based model for precipitation, many studies have built upon mass-based frameworks for use in plantwide modeling. ,,, Although the models included in these studies have been shown to fit equilibrium results well, they lack the ability to predict crystallizer effluent PSDs. The inclusion of a population balance equation, known as population balance modeling (PBM), allows for prediction of crystallizer effluent PSDs and can include nucleation, crystal growth, and aggregation. ,− ,,, Unlike the mass-based activated sludge models (ASMs), the PBM tracks particle size and number to estimate area dependent growth and dissolution. Improvements have been made to struvite PBM by choosing mass as the internal coordinate and including the effects of shear on nucleation and growth. ,, Despite these improvements, difficulties still exist in accurately calibrating the PBM and even within a set of specifically chosen case studies, collinearity between kinetic parameters causes identifiability issues (i.e., model outputs must be model input-sensitive and the influence of a change in one input parameter on the model output cannot be reversed through a change in another input parameter).…”