  The spin relaxation time of localized charge carriers is few orders of
magnitude larger than that of free electrons and holes. Therefore mutual
conversion of spin polarization, charge current and spin current turns out to
be underlined in the hopping conductivity regime. We reveal different regimes
of the coupled spin and charge dynamics depending on the relation between spin
relaxation time and the characteristic hopping time. We derive kinetic
equations to describe electrical spin orientation, dc spin-Hall effect, and
spin galvanic effect in the transverse magnetic field. The generalized
macroscopic conductivities describing these effects are calculated using
percolation theory supported by numerical simulation. The conductivities change
the sign at least once as functions of magnetic field for all values of the
spin relaxation time.
