Fig. A.1.

Error bars for the bottom depth estimation of every layer. Those were obtained by perturbing density contrast by 5%. Procedure consisted in perturbing a single density at the time and storing separately the depth perturbation for every layer. After perturbing all density contrasts, e.g. we added all depth perturbations for Tertiary and doing a depth average for every prism. Contours are every 0.1 km, except bottom melt with 0.01 km interval.