The first result of a systematic study of the temperature dependence of the photoluminescence (PL) intensity and lifetime of the spatially indirect transition at the InAlAs/InP interface is reported in this paper. An investigation on the temperature and time-dependent recombination of 2D electrons and holes localized at InAlAs/InP staggered lineup heterointerfaces grown by low-pressure metal-organic chemical-vapor deposition (MOCVD) is presented. If the temperature increases, higher subband levels are observed to become occupied, new radiative and nonradiative recombination channels open leading to a reduction to both the effective radiative and nonradiative decay times. A reduction of the total decay time by a factor of 2.5 with increasing temperature is observed between 7 and 300 K. The luminescence efficiency drops only by a factor of 20 much less what is typically observed for 3D layers. Both observations are understood by considering the particular subband structure of the electrons and holes.