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We present a systematic study of the environmental impact on star formationactivities of galaxies using a mass-complete sample of $\sim$170k galaxies at$z<4$ from the latest COSMOS2020 catalog. At $z<1$, we find that the meanstar-formation rate (SFR) of all galaxies decreases with increasing density ofthe environment. However when we consider only star-forming galaxies, the meanSFR becomes independent of the environment at $z<1$. At $z>2$ we observe aclear positive correlation between the SFR and density of the environment forall the galaxies. On the other hand, stellar mass of the galaxies increasessignificantly with the environments at all redshifts except for star-forminggalaxies at $z<1$. The fraction of quiescent galaxies increases with increasingdensity of environment at $z<2$, and the ``morphology-density'' relation isconfirmed to be present up to $z\sim1$. We also find that environmentalquenching is negligible at $z>1$, whereas mass quenching is the dominantquenching mechanism for massive galaxies at all redshifts. Based on theseresults, we argue that stellar mass regulated physical processes might be themajor driving force for star formation activities of galaxies. At low redshift($z<1$) massive galaxies are quenched primarily due to their high mass,resulting in a normal ``SFR-density'' relation. At high redshift ($z>2$) mostof the galaxies are star-forming ones tightly following the star-forming mainsequence, and the difference in their stellar mass at different environmentsnaturally leads to a reversal of ``SFR-density'' relation.

Nature vs. Nurture: Revisiting the environmental impact on star formation activities of galaxies