Especially in the region where deep water mass upwells i.e. Equatorial Indian Ocean and Pacific Ocean. Here, by age, I mean the time taken by the deepwater mass to reach from the source region to the current core location.
Yes, in the deep Pacific Ocean the water is more depleted in 14C (aging effect) at 2000m than at 4000 or 4000 m. This is because it is easier for the deep waters to spread horizontally than to upwell through the termocline.
I would put it this way: The deep water is more involved in the circulation of the ocean water than the middle water layers. Especially in the polar regions, cold water is constantly sinking and with it organic material. This causes a constant supply of C14 into the deep water. However, the sinking of dead biomass can override this effect.
Nisha Bharti : What is older and younger water would have to be defined precisely.
Hans-G. Hildebrandt Here, by age, I mean radiocarbon concentration of the DIC of the deepwater mass. Higher the radiocarbon concentration or delta 14Cof DIC, lower is the age of water mass and vice versa.