In a previous paper, it was shown that parameter-effects nonlinearities of a nonlinear regression model-experimental design-parameterization combination can be quantified by means of a parameter-effects curvature array $A$ based on second derivatives of the model function. In this paper, the individual terms of $A$ are interpreted and local compensation methods are suggested. A method of computing the parameter-effects array corresponding to a transformed set of parameters is given and we discuss how this result could be used to determine reparameterizations which have zero local parameter-effects nonlinearity.
Douglas M. Bates. Donald G. Watts. "Parameter Transformations for Improved Approximate Confidence Regions in Nonlinear Least Squares." Ann. Statist. 9 (6) 1152 - 1167, November, 1981. https://doi.org/10.1214/aos/1176345633