In both cases, the optimization procedure is able to match the experimental surface tension within 10%, which is highly accurate in the context of existing water models. We conclude that when placed in the context of other fixed charge models with rigid geometries, that the four-point models will yield accurate predictions in studies involving liquid/vapor interfaces and extremes of temperature and pressure, whereas the functional form of three-point rigid models is too limited to simultaneously describe the temperature dependence of density and other structural and kinetic properties with equivalent accuracy across broad temperature ranges. The model parameterization approach of picking alternative properties such as surface tension that require minimal post-hoc corrections is also expected to be broadly useful in developing the next generation of force fields for other molecular liquids and small molecules where such corrections are not easily obtainable.