A key question in galaxy evolution is the physical nature of the intermediate redshift galaxies and their present-day counterparts. It is known that the star formation rate density increases rapidly from z = 0 to z = 1 - 2. However, the type of galaxies that contribute to the rise of the star formation density is still debatable. In principle, a steep luminosity function where most of the star-formation is in newly-formed dwarf galaxies or a population of massive galaxies undergoing modest but continuous star formation can produce similar star-formation rate density at a given redshift. Therefore, a census of the star-forming galaxy population as a function of time is needed in order to help us better understand how galaxies acquired their present morphology.