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We report on the evolution of the number density and size of early-typegalaxies from z~2 to z~0. We select a sample of 563 massive (M>10^{10} Msun),passively evolving (SSFR<10^{-2} Gyr^{-1}) and morphologically spheroidalgalaxies at 0<z<2.5, using the panchromatic photometry and spectroscopicredshifts available in the GOODS fields. We combine ACS and WFC3 HST images tostudy the morphology of our galaxies in their optical rest-frame in the whole0<z<2.5 range. We find that throughout the explored redshift range the passivegalaxies selected with our criteria have weak morphological K-correction, withsize being slightly smaller in the optical than in the UV rest-frame (by ~20and ~10 at z>1.2 and z<1.2, respectively). We measure a significant evolutionof the mass-size relation of early-type galaxies, with the fractional incrementthat is almost independent on the stellar mass. Early-type galaxies (ETGs)formed at z>1 appear to be preferentially small, and the evolution of themass-size relation at z<1 is driven by both the continuous size growth of thecompact galaxies and the appearance of new ETGs with large sizes. We also findthat the number density of all passive early-type galaxies increases rapidly,by a factor of 5, from z~2 to z~1, and then more mildly by another factor of1.5 from z~1 to z~0. We interpret these results as the evidence that the bulkof the ETGs are formed at 1<z<3 through a mechanism that leaves very compactremnants. At z<1 the compact ETGs grow gradually in size, becoming normal sizegalaxies, and at the same time new ETGs with normal-large sizes are formed.

The relative abundance of compact and normal massive early-type galaxies and its evolution from redshift z~2 to the present