Ultimate scaled length for abj organism

[tongyaop]

I am using the abj model (e.g. Dreissena polymorpha), and I calculated parameters based on experiments (instead of using the covariation method).

I directly specified zoom factor z = maximum physical length being observed * shape coefficient (del_M) calculated based on the adult length and weight relation. However, I later realized that this gives me incorrect ultimate length (Lw_i) under standard condition (f = 1, temperature = 20 dC).

I found out that, because for the prediction for an abj organism,

 % ultimate
L_i = L_m * l_i; % cm, ultimate structural length
Lw_i = l_i * L_m / del_M; % cm, ultimate physical length       

l_i = l_j / l_b is used to scale ultimate L_m to L_i, which it is not 1.

Then should the zoom factor, as a core parameter, be scaled too?
z = Lw_b / Lw_j * Lw_i * del_M

Thanks!