  A Dual Parton Model with a formation zone intranuclear cascade in the
spectators of the projectile and target nuclei is studied. The hadrons produced
in the formation zone cascade contribute to Feynman-$x_F$ and lab-$x$
distributions in the fragmentation regions of the target and projectile nuclei.
We discuss the consequences of this model in the secondary cosmic ray
production, by analyzing the calculated spectrum weighted moments for pion and
kaon production. We show that the proposed model leads to significant
differences with respect to a simple superposition model, where the
nucleus-nucleus collision is replaced by a few corresponding nucleon-nucleus
collisions.
