Isaac Held here looks at how the simple two - box models relating the globally
averaged energy imbalance at the TOA to the globally averaged surface temperature and concludes that a linear formulation deviates substantially from the behavior of GCM's.
The Earth's
average energy imbalance within each of these periods had to be a small fraction of 1 W m − 2.
Not exact matches
Trenberth replied promptly (the guy is a class act), informing me that von Schuckmann's
energy imbalance of 0.77 W / m2 was for the ocean only and when you
average it out over the whole globe, it gives a net
energy imbalance of 0.54 W / m2.
Of course, in such a time
average, each location's fluxes (
energy, and also momentum and mass) are balanced, with vertical
imbalances (generally a net gain in heat at lower latitudes and net loss in higher latitudes, especially in winter) are balanced by horizontal fluxes.
Starting from an old equilbrium, a change in radiative forcing results in a radiative
imbalance, which results in
energy accumulation or depletion, which causes a temperature response that approahes equilibrium when the remaining
imbalance approaches zero — thus the equilibrium climatic response, in the global - time
average (for a time period long enough to characterize the climatic state, including externally imposed cycles (day, year) and internal variability), causes an opposite change in radiative fluxes (via Planck function)(plus convective fluxes, etc, where they occur) equal in magnitude to the sum of the (externally) imposed forcing plus any «forcings» caused by non-Planck feedbacks (in particular, climate - dependent changes in optical properties, + etc.).)
He is also oblivious to his comparison of a forcing (3.7 W / m ^ 2) with an
energy imbalance averaged over many decades.
OHC may be one of the best measures of the top of atmosphere
imbalance available -
averaged over long time periods, global, representing (for the full depth of the oceans) ~ 93 % of the
energy changes.
jja, from table 1 of Nucutelli et al, we have the following
average TOA
energy imbalance for various periods:
To summarize,
energy imbalance will increase on
average with constantly increasing forcing.
At current
energy imbalance the global ocean
average temperature will rise 0.2 C.
1) My post was primarily to illustrate that a growing
energy imbalance is consistent with, and indeed required (on
average) with a constantly growing forcing.
Trenberth replied promptly (the guy is a class act), informing me that von Schuckmann's
energy imbalance of 0.77 W / m2 was for the ocean only and when you
average it out over the whole globe, it gives a net
energy imbalance of 0.54 W / m2.
For starters, a long - term increase in the
average global temperature must be caused by a global
energy imbalance - an external radiative forcing.
The full amplitude of solar cycle forcing is about 0.25 W / m2 [64], [71], but the reduction of solar forcing due to the present weak solar cycle is about half that magnitude as we illustrate below, so the
energy imbalance measured during solar minimum (0.58 W / m2) suggests an
average imbalance over the solar cycle of about 0.7 W / m2.
The resulting
average planetary
energy imbalance, if it really exists, is only 1 part in 1,000.
3) The TOA
energy imbalance equals on
average total forcing from all factors since 1750 (by convention) minus the increase radiation to space due to increased surface temperature.
The only way to know if there is an
energy imbalance is to know with reasonable accuracy and precision what the
average temp / heat content of the entire system is.