This
is really a very elementary 'quantum' decuction of the all-sky integer
system. This way we got an alternative approach to the all-sky albedo,
compared tostep (iii) in the opening page, where we started approaching
the clear-sky albedo by allowing 1 unit solar reflection out of 5 units
of incoming, but finally both leading to the correct
clear-sky
and all-sky TOA reflection.
But
let me notice that from the previous diagram we may step into another
direction as well. Let us remember that, according to step (vi) of the
deduction on the opening page, clear-sky TOA Net Imbalance is
3
units (on the disk), therefore, after spherical weighting,
3/4
units in step (x), with a value of 20.01 Wm-2; consequently, in step
(xii), in the all-sky, the net cloud radiative effect, TOA Net CRE was -
3/4.
Now what if we take THIS one, this smaller, even 'lighter' quantity,
TOA Net CRE, the new quantum, shown in green?
1
=
3/4
= 20.01 Wm-2.
Then we get the following structure:
In this third, lighter, green quantum,
1
= TOA Net CRE = 20.01 Wm-2, each black unit became four green units,
integer as well, even TSI (
68)
and solar reflection (
20),
moreover, evaporation (latent heat) as
4
units! And the all-sky structure requires red unit (LWCRE) only in
downward longwave radiation (DLR) and one unit in sensible heat.
Three quanta: a heavy, a lighter and an even-lighter, as freely
transforming into each other? Mind-blowing as it is!
Though this be madness yet there is method in 't.