Earth's Global Energy Budget

by Miklos Zagoni


NASA CERES measurements reveal small integer ratios
in the annual global mean energy flow system.

The differences from whole number multiples are
within the instrument calibration error of 4.2 W/m2.

It seems the Earth's global annual mean flux structure is built up
from discrete blocks: 'bricks' or 'units' or 'atoms' ... or 'quanta'.


This structure is neither a CERES observation artifact,
nor a coincidence: it is there in other global energy budget estimates,
such as Wild et al. (2015), constrained by BSRN observations:

Stephens et al. (2012) updated global energy balance:

L'Ecuyer et al. (2015), adjusted to energy and water cycle constraints:

ONE unit in the system is defined as UNIT = OLR(all-sky)/9.
That is, we are finding ratios between energy flows,
not absolute values of flows: the flux values are scaling with OLR.

Our 'quantum', UNIT = 26.68 W/m2, is not a universal constant:
it is derived from the best CERES EBAF TOA 4.0 value of
OLR(all-sky) = 240.12 W/m2.

This unit, as well as the ratios, have meaningful physical explanation;
see Presentations and Posters below.

The corresponding basic rules and equations:

SFC (SW + LW) absorbed = 2 TOA LW out (clear-sky)

SFC (SW + LW) absorbed = 2 TOA LW out + SFC LW CRE (all-sky)

G (greenhouse effect) = SFC Net (turbulent fluxes) (clear-sky)

G (greenhouse effect) = Solar Absorbed Surface (all-sky)

The first and the fourth rules are evident characteristics of the geometric model,
their validity is being kept throughout the deduction;
the second and third rules are consequences for the resulting system.

For details, see NASA GSFC presentation, pp. 62-73.

The question is: Why the longwave cloud radiative effect, LWCRE,

plays the role of UNIT flux in the integer multiples structure
(as it is apparent in the above diagrams)?

From a surface perspective:
What is lost in the open all-sky atmospheric window
is gained back by the blanketing effect of clouds.

The answer to the above question might be this:
The energetic role of clouds is to close the window.

The resulted system is then an 'effectively IR-opaque' atmosphere,
where the F = N UNIT integer ratios are characteristics
of wave propagation in a cavity.

The integer ratios are proved to be valid by independent
global-scale clear-sky radiative transfer computations as well, with
UNIT(clear-sky) = OLR(clear-sky)/4.

According to these ratios, the global energy budget is strictly constrained,
and the fundamental flux structures for clear-sky and all-sky are the followings:

All-sky integer table of fluxes:

Clear-sky integer table of fluxes:

Our results can be visualized by a simple geometric greenhouse model,
a planet surrounded by a 'glass-shell' atmosphere:

Let us emphasize that the
validity of the revealed arithmetic structures
is independent from the validity of this proposed conceptual model.

We are convinced that the presented numerical ratios are not resulted 
from some hypothesis or theory; they are there in the observed reality.

The apparent arithmetic simplicity of the energy flow distribution
is not a crude oversimplification of an otherwise complex reality,
but expresses the simplicity and clarity of the ruling principles.


CERES EBAF Ed4.0 monthly mean data, March2000-October2017:



Fall 2017 CERES Science Team Meeting
Spring 2018 CERES Science Team Meeting
Fall 2018 CERES Science Team Meeting (draft)


AGU 2017 Fall Meeting
EGU 2018 General Assembly Poster 1
/ Poster 2
8th GEWEX Open Science Conference Poster 1
Poster 2
American Meteorological Society 15th Conference on Cloud Physics/
15th Conference on Atmospheric Radiation

(This GEWEX Conference is on the Climate and Water Extremes.
In light of the revealed constraints,
we think these extremes might occur on seasonal and regional scales,
while the
annual and global means are strictly regulated.)

The GEWEX 2012 Radiation Budget
(with our additions in dark textboxes):


We think NASA CERES Science and Data Teams
performed the quantum measurement of our times
and discovered the discrete ("atomic") structure of climate.

The 2017 Legacy Version of this website is available here.