Hierarchical Gompertz model

Martin - how did you come up with the substitution/ transformation ? I had pen and paper out to try to work out an analogous transformation for the following model but i got hopelessly stuck:

\\Y = Ae^{-exp(-k( t - d ))}

Identifiability issues occur when (t - d) = 0 (I believe)

Edit: My code for the model is in this thread + post: Hierarchical Gompertz model

Edit 2: note t is data = time in days