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Based on a large sample of massive ($M_{*}\geq 10^{10} M_{\odot}$) compactgalaxies at $1.0 < z < 3.0$ in five 3D-HST/CANDELS fields, we quantify thefractional abundance and comoving number density of massive compact galaxies asa function of redshift. The samples of compact quiescent galaxies (cQGs) andcompact star-forming galaxies (cSFGs) are constructed by various selectioncriteria of compact galaxies in literatures, and the effect of compactnessdefinition on abundance estimate is proved to be remarkable, particularly forthe cQGs and cSFGs at high redshifts. Regardless of the compactness criteriaadopted, their overall redshift evolutions of fractional abundance and numberdensity are found to be rather similar. Large samples of the cQGs exhibit asustaining increase in number density from $z \sim 3$ to 2 and a plateau at$1<z<2$. For massive cSFGs, a plateau in the number density at $2<z<3$ can befound, as well as a continuous drop from $z \sim 2$ to 1. The evolutionarytrends of the cQG and cSFG abundances support the scenario that the cSFGs at $z\geq 2$ may have been rapidly quenched into quiescent phase via violentdissipational processes such as major merger and disk instabilities. Rarity ofthe cSFGs at lower redshifts ($z < 1$) can be interpreted by the decrease ofgas reservoirs in dark matter halos and the consequent low efficiency ofgas-rich dissipation.

The abundance of massive compact galaxies at $1.0 < z < 3.0$ in 3D-HST/CANDELS