How much riverine nutrients do shelf seas allow into the open ocean?

Globally rivers deliver 35 Tg of dissolved N and 2 Tg of dissolved P into the coastal zone each year. Investigating the effects of this nutrient supply on the open ocean generally takes one of two approaches: either all or none of the nutrients are assumed to enter the open ocean. Here we use some general assumptions on the behaviour of river plumes on the shelf to arrive at an estimate of the proportions of dissolved N and P that are processed on the shelf, and thus the amount of riverine nutrient that enters the open ocean.

Using the Global NEWS database of 6000 rivers we assume that discharges to the shelf are initially constrained within coastal buoyancy currents of width 2 internal Rossby radii. This width is compared to the local shelf width for each river. For plume widths greater than the shelf width riverine nutrients are assumed to be transported over the shelf edge within the plume. For plume widths less than the shelf width we assume that exchange with the open ocean is controlled by physical processes at the shelf break. For each river an estimate of the residence time of riverine water is made, based on the transport or exchange rate and the shelf volume. Empirical relationships between residence time and the proportion of supplied N and P that is retained on the shelf are then used to estimate the amount of dissolved N and P that escapes to the open ocean.

The results suggest that 25% of dissolved N and 20% of dissolved P are processed in shelf seas, with the rest exported to the open ocean. There is a latitudinal pattern, with tropical rivers delivering more nutrients to the open ocean. This is partially a result of the high discharges of some tropical rivers, but a key issue is our assumption of the internal Rossby radius governing plume width. A range of values for transport rates within plumes and exchange rates across the shelf break are used to assess the sensitivity of these results, which appear to be robust.