Forward model nonlinearity versus inverse model nonlinearity

The issue of concern is the impact of forward model nonlinearity on the nonlinearity of the inverse model. The question posed is, “Does increased nonlinearity in the head solution (forward model) always result in increased nonlinearity in the inverse solution (estimation of hydraulic conductivity)?” It is shown that the two nonlinearities are separate, and it is not universally true that increased forward model nonlinearity increases inverse model nonlinearity.