We report time-resolved incoherent anti-Stokes Raman scattering measurements of the dynamics of the D and G' bands in single-walled carbon nanotubes at excitation energies of 1.51 and 1.63 eV over the temperature range 4-330 K. The measurements indicate that the population lifetimes (~1 ps) of the phonons responsible for the D band are dependent on nanotube type. The temperature dependencies are consistent with anharmonic decay of the phonons into one low (<190 cm(-1)) and one high energy phonon.