T H E Q U E S T I O N OF I N C R E A S E O F A T M O S P H E R I C CO,
25
Fig. 2. Expected secular increase in the CO, concentration of air (7) according
to Eq. (7), for average lifetimes of COI in the atmosphere t(atm) = 10years and
3 0 years, with and without correction for the increase in the partial C O , pressure
with total C O , concentration of sea water (curves for y = 10 and y = I respectively), for a constant rate of addition of industrial COP of i = 2.5 * 10-*x Ao.
for r and s small compared to A, and So
respectively.
As a reasonable ap roximation we may
write instead of Eq. (3f:
of CO, production from fossil fuels. However,
over a sufficiently long period of time the
alkalinity of the ocean must be expected to rise
more rapidly as a consequence of the higher
total CO, concentration in the atmos here and
ocean which will tend to increase e rate of
rock weathering and to decrease the rate of
de osition of CaCO,. The secular increase in
I s o d d therefore be less than that calculated
from Eq. (7) with ~ = I O and somewhere
between the curves shown in figure 2 for
y=Ioandy=I.
It seems therefore quite improbable that an
increase in the atmospheric CO, concentration
of as much as 10 % could have been caused by
industrial fuel combustion during the past
century, as Calleridar’s statistical analyses
indicate. It is possible, however, that such an
increase could have taken place as the result
of a combination with various other causes.
The most obvious ones are the following:
I) Increase of the average ocean temperature
of I’ C increases Pco, by about 7 %. However,
such increase would also raise the sea level by
about 60 cm, due to thermal expansion of the
ocean water. Actually, according to MUNKand
REVELLE
(1952),although the sea level has risen
about 10 cm during the last century, this rise
can be accounted for almost quantitatively by
addition of melt water from retreating glaciers
and ice caps. The increase in the average ocean
temperature is probably not more than 0.05’ C,
which corresponds to an increase in PCo, of
0.35 %. In the case of slow oceanic mixin ,
the increase could be somewhat larger, if oI fy
tR
or
1
Figure 2 shows r as a function of time
calculated from Eq. (7) for two values of k,
corresponding to an exchange time of 10 and
3 0 years respectively, assuming constant addition of industrial CO, equal to 0.25 % of the
CO, in the atmosphere per year. At present
the integrated amount of industrial CO,
corresponds to about 40 to 50 years of addition
at this constant rate. The increase in CO, in
the atmosphere plus biosphere and soil due to
industrial fuel combustion should therefore at
present amount to 3 to 6 %, depending on the
assumptions made with respect to the size of
the “effective” atmos heric carbon reservoir
that exchanges with t e ocean.
Eq. (7) and figure 2 show that addition of
industria CO, at a constant rate should
eventually lead to a situation in which the
secular increase in CO, in the atmosphere
plus
. .
!i
biosphere and soil equals
__iyk2‘k1
I
vk,Ik.
- -C
’
’-z,.-L
,
per year.
With So/Ao=kl/kz = 60 and i=o.zs ,an increase of 3.6 % er century is obtained. We
have neglected t e present rate of increase in
alkalinity, which is small,compared to the rate
K
Tellus IX (1957). 1