The evolution of conductivity in granular metal films, as a function o
f thickness and temperature, has been modeled by percolation within th
e framework of the theory of stochastic transport in disordered system
s. The model was analytically worked out by means of the effective-med
ium approximation. The analytical expression obtained spans the entire
range of resistance, from insulating to globally superconducting beha
vior, with increasing thickness. Quasireentrant or local superconducti
vity was found in our results as a consequence of tunneling junctions
allowed in the model. Experimental data on tin films are considered.