A two-dimensional kinetic ''tail lobe ion spectrometer'' model for the transport of ionospheric ions from the polar cleft ionosphere into the tail lobes is developed to semiquantitatively simulate the behavior of the observed O+ ion streams in the magnetotail lobes. The consequences of the present model include (1) the increase in velocity of the O+ streams away from the tail midplane; (2) the existence of ''tongues'' of O+ density from the cleft ionosphere into the tail lobes whose distribution configuration depends on the convection electric field and the source thermal energies; and (3) very low parallel thermal energies and speeds in the lobes which are correlated with the parallel ion bulk velocities. These consequences are reasonably consistent with the trends in lobe streams observed by recent spacecraft.