Upper figure: temporal and radial evolution of the magnetic field (upper panels) and of the outflow-driven mass accretion rate (lower panels) for the case of inefficient advection of the magnetic flux at high β (left hand side panels) and for the case of efficient advection of the magnetic flux at high β (right hand side panels). Lower figure: light curves for inefficient advection at large β. The initial constant magnetic field in this case is B_z0 = 20 G.