Atmosphere
- well mixed
Surface ocean layer
- well mixed
Deep ocean
Vertical
diffusion
Diffusion
First order exchange _
fluxes proportional to
concentration in upstream
reservoir
Vertical
circulation
Fig. 1The main elements of a simple model for ocean CO 2 uptake.
Box 7.1 Simple box model for ocean carbon dioxide uptake
In order to calculate how much
anthropogenic carbon dioxide (CO 2 ) the
oceans can take up from the atmosphere, it is
often necessary to construct a model of the
system. The simplest of these models divide
the oceans into a series of boxes (numbering
from a few to several hundred), with water
containing its dissolved carbon (C) flowing
between them. The main elements of such
models are shown in Fig. 1.
For the relatively well-mixed atmosphere
and surface-ocean boxes, the carbon flow
between them is assumed to be proportional
to their carbon content. Within the deep
ocean, where the circulation is much more
sluggish, vertical mixing is often modelled as
a diffusion process. In addition, the model
can include a simple circulation with direct
input to the ocean bottom from the surface,
balanced by upward water movement
throughout the deep ocean, to represent
convective processes. The spatial and depth
distribution of radioactive substances, such as
the isotope^14 C (see Section 2.8) (produced
both by cosmic rays in the atmosphere and
from the detonation of nuclear devices in the
248 Chapter Seven
(continued)