Velocity-integrated flux density distribution of H₂O normalised to I_{H2O(202–111)}adapted from Y13. Local averaged values are shown in black dashed line and marks. Among them, AGN-dominated sources are shown in red and star-forming dominated galaxies are shown in blue. Some individual sources are also shown in this plot as indicated by the legend. Green diamonds are the high-redshift lensed Hy/ULIRGs from this work. HFLS3 is a z = 6.3 high-redshift galaxy from Riechers et al. (2013).