358
Land
Ocean
7S o N
HR"
HL1
HR"
TL1
,
T,
,
(l-£)H d
£H d
3S o N
H RZ
HL Z
HR Z
,
T LZ
,
,
T z
,
(1-£)
£
Figure 6: Plan view of the land-ocean model of section 4. Displayed are only temperatures
and heat transports. Notice the cyclic continuity.
4.2 Spatially averaged quantities
Solving for land temperatures is straightforward but somewhat tedious.
Again, it is most instructive to consider spatial means and meridional differences separately. The sum of (52) and (53) gives the (meridional and
hence global) mean land temperature, TZ == (TL,I + TL,2) /2, as a weighted
average of global mean ocean temperature, T* == (TI + T2 )/2, and global
mean atmospheric equilibrium temperature, TE == (AI + A 2)/2B,
T* _ BTE + {M/(l - c)}T*
L -
B+M/(l-c)
The global mean land-ocean temperature difference is
TE - T* = B + M~l _ c) (T'E - T*),
so the global mean ocean heat uptake,
(55)
(56)