R O G E R R E V E L L E A N D H A N S E. S U E S S
24
,lOyrs..
/
80
/
/’loYrs.
20yrs
60
50
1.5%
--
___)
A*
UNITS of A.
Fig. I. Graphic solutions of Eq. (I a) for values ~ / k ranging
,
from 10 to 80
years (straight lines), and of Eq. ( 5 a) for r* = 1.5 % and 1.75 % (curved lines),
, 400 years (solid lines) and
for average apparent C14 age of sea water ~ / k =
300 years (broken lines). Points of intersection of straight lines and curves
are possible solutions of the two equations for effective reservoirs A* and S*.
effect from industrial fuel combustion needs
further experimental investigation.
W e conclude that the exchange time z (atm) =
= i l k l , defined as the time it takes on the average
for a CO, molecule as a member of the atmospheric carbon reservoir to be absorbed by the sea,
is of the order of magnitude of 10 years. This
corresponds to a net exchange rate of the
order of IO-’ mol CO, per second and square
meter of the ocean surface, larger by a factor
of IOO than that postulated by PLASS(1956)
and smaller by a factor of IO,OOO than that
deduced by DINGLE
(1954) as a lower limit
from numerical values of the various rate
controlling constants. These are, as HUTCHINSON (1954)has forcefully pointed out, too
uncertain to allow any definite conclusions.
On the other hand, our exchange data give a
value for the “invasion coefficient” of carbon
dioxide close to that determined experimentall by BOHR (1899) for a stirred liquid
sur ace.
Y
estimating the exchange rate of CO, between
the atmosphere and the oceans: (I) that the
rate constants k, and k , were not affected by a
small increase of the exchangeable carbon
reservoir such as that from industrial fuel
combustion, and (2) that, except for that
increase, no other changes in the sizes of the
oceanic and atmospheric carbon reservoirs have
taken place. If these assumptions were rigorously correct, the increase in atmospheric CO,
due to an addition of C14 free CO, would be
nearly equal to r, as given by Eq. .fs) and in
table 4,and equal to the decrease in the spec&
C14 activity r*, multiplied by a factor A*/A.
Because of the peculiar buffer mechanism
of sea water, however, the increase in the
partial CO, pressure is about 10 times higher
than the increase in the total CO, concentration
of sea water when CO, is added and the
alkalinity remains constant (BUCH,1933, see
1955)~
so that under equilibrium
also HARVEY,
conditions at a given alkalinity
Secular variation of CO, in the atmosphere
In the preceding section of this paper, two
simplifylng assumptions were made when
y being a numerical factor of the order of
10
Tellus IX (1957), 1