  Transport quantities of the classical spin chain with the quenched disorder
in the antiferromagnetic coupling $J_i$ are evaluated using the dynamical
simulation at finite temperatures $T>0$ . Since the classical model is
nonintegrable, spin and thermal conductivities remain finite even in the pure
case. On the other hand, the role of disorder becomes crucial at low $T $
leading to a vanishing transport due to the Anderson localization within the
linearized regime. The crossover from the insulator to the conductor appears
both for the spin and thermal transport at quite low $T^* \ll J$. Still the
many-body localization regime at $T>0$ evidenced by extremely short mean free
paths can be strongly enhanced by introducing into the model an additional
staggered field.
