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The Energy Balance
A zero dimensional greenhouse model
•The sun makes life on earth possible. It is also the
driving force behind the changes in weather and
climate.
•Therefore studying the radiation balance between
incoming solar radiation and outgoing radiation from
the earth is important for climate modeling.
Cont…
• Atmospheric scientists derive from their
observations a simplified model for the
radiation balance between the surface and
atmosphere of the earth.
• The incoming solar radiation averaged
over the earth is given as 100 units. The
radiation is partly absorbed by the
atmosphere or partly scattered back or
reflected back to space.
Earth’s Energy Budget
(Model-1)
(Model- 2)
Earth’s Energy Budget
(Model-3)
Trends in Atmospheric Carbon Dioxide
November 2012: 392.81 ppm
November 2011: 390.24 ppm
50 years trend of atmospheric CO2
Parameters of the zero dimensional
greenhouse model
Short Wave length Long Wave length
Parameter Symbol
& value
Parameter Symbol
& value
Albedo of
the surface
as =0.11 Transmittance of
the atmosphere
t’a =0.06
Albedo of the
atmosphere
aa =0.30 Albedo of the
atmosphere
a’a =0.31
Transmittanc
e of the
atmosphere
ta =0.53
Where is emissivity of the Earth
The earth’s radiation measured at
TOA is the intensity I
4
sI Tεσ=
ε
1for black bodyε =
Where is emissivity of the Earth
The earth’s radiation measured at
TOA is the intensity I
4
sI Tεσ=
ε
1for black bodyε =

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Earths energy budget

  • 1. The Energy Balance A zero dimensional greenhouse model •The sun makes life on earth possible. It is also the driving force behind the changes in weather and climate. •Therefore studying the radiation balance between incoming solar radiation and outgoing radiation from the earth is important for climate modeling.
  • 2. Cont… • Atmospheric scientists derive from their observations a simplified model for the radiation balance between the surface and atmosphere of the earth. • The incoming solar radiation averaged over the earth is given as 100 units. The radiation is partly absorbed by the atmosphere or partly scattered back or reflected back to space.
  • 6. Trends in Atmospheric Carbon Dioxide November 2012: 392.81 ppm November 2011: 390.24 ppm
  • 7. 50 years trend of atmospheric CO2
  • 8. Parameters of the zero dimensional greenhouse model Short Wave length Long Wave length Parameter Symbol & value Parameter Symbol & value Albedo of the surface as =0.11 Transmittance of the atmosphere t’a =0.06 Albedo of the atmosphere aa =0.30 Albedo of the atmosphere a’a =0.31 Transmittanc e of the atmosphere ta =0.53
  • 9. Where is emissivity of the Earth The earth’s radiation measured at TOA is the intensity I 4 sI Tεσ= ε 1for black bodyε =
  • 10. Where is emissivity of the Earth The earth’s radiation measured at TOA is the intensity I 4 sI Tεσ= ε 1for black bodyε =