  I show that advanced simulations of cosmological reionization are able to fit
the observed data on the mean transmitted flux in the hydrogen Lyman-alpha line
at z~6. At the same time, posteriori models can be constructed that also
produce a large value (20%) for the Thompson scattering optical depth,
consistent with the WMAP measurements. Thus, it appears that a consistent
picture emerges in which early reionization (as suggested by WMAP) is complete
by z~6 in accord with the SLOAN data.
