  We consider the Anderson model on a strip. Assuming that potentials have
bounded density with considerable tails we get a lower bound for the
fluctuations of the logarithm of the Green's function in a finite box. This
implies an effective estimate by $ \exp(CW^2) $ for the localization length of
the Anderson model on the strip of width $ W $. The results are obtained,
actually, for a more general model with a non-local operator in the vertical
direction.
