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School of Ice, Aug. 2, 2021
Modeling Past and Future
Climates
Andreas Schmittner, Oregon State University
Textbook
https://open.oregonstate.education/climatechange/
Hierarchy of Climate Models
• 0D Energy Balance Model (EBM)

• 1D EBM

• 1D Radiative-Convective Models

• Intermediate Complexity Models (e.g. 2D EBMs)

• 3D General Circulation Models (GCMs)
Increasing
Complexity
Climate Models Equations based
on conservation of

• mass

• momentum

• energy

• water

• carbon

• ...
Equations are solved in each of the grid boxes of the model.
Typically global climate models have
about 20-30 layers in the atmosphere
and about the same amount in the
ocean. The horizontal grid box size
varies from about 5 degrees (500 km) to
about 1 degree (100 km) or less.
Models with smaller grid box sizes
r e s o l v e m o r e d e t a i l s ( h i g h e r
resolution), but the y are also more
computationally expensive to run.
Interactive Components Included
• Atmosphere

• Ocean

• Sea Ice

• Land Surface (sometimes with interactive vegetation)

• Ocean Biology and Chemistry (e.g. Carbon, Nutrient,
and Oxygen Cycles)

• (Ice Sheets, usually prescribed)
Models that include biogeochemistry are also often 

called Earth System Models
Parameterizations
• Processes that cannot be resolved (smaller than
grid box size need to be expressed in terms of
resolved quantities; often empirical formulas)

• Examples are clouds, convection (atmosphere),
and mixing (ocean)
Forcings
• Models are driven by boundary conditions, e.g. incident
solar radiation at the top-of-the-atmosphere, surface
properties (albedo), changes in atmospheric CO2

• Interior is solved without the use of observations
Model Evaluation
Models are tested by comparing results to observations.
http://www.image.ucar.edu/~nychka/Animations/BTSCAMT340.mp4

http://www.image.ucar.edu/~nychka/talks.html

http://vets.ucar.edu/vg/T341/
High-Resolution Climate Model
1024x512 grid points (30 km)
Water vapor
What are climate models used for?
• Paleoclimate Studies

How did climate change in the past and why?

• Detection and Attribution 

Is climate changing signi
fi
cantly and if so why?

• Projections

How may climate change in the future?
Detection and Attribution of Climate Change
IPCC 2013 FAQ 10.1
IPCC AR5 Scenarios
Uncertainty #1: Emissions

We don’t know the future economic
development. Will the real world follow more
closely scenario RCP2.6, 4.5, 6, or 8.5?

Di
ff
erent scenarios result in di
ff
erent
emissions of substances that a
ff
ect climate
(CO2, CH4, SO2)
}AR4
}AR5
High emissions
Strong emission reductions
IPCC 2013
RCP = Representative Concentration Pathways (GHG concentrations prescribed)

SRES = Special Report on Emissions Scenarios

SSP = Shared Socioeconomic Pathways will be used in AR6
IPCC 2013
Strong emission reductions
Uncertainty #2: Carbon Cycle

For a given CO2 emission scenario, we don’t know exactly how much carbon is
taken up by the ocean and land and how much remains in the atmosphere a
ff
ecting
climate. In AR5 concentrations (e.g. of CO2) are given (inset). Each concentration
scenario corresponds to a range of emissions due to carbon cycle uncertainty.
Spread only due to
uncertainty in
carbon cycle
Spread only due to
uncertainty in
climate sensitivity
Uncertainty #3: Climate Sensitivity

For given CO2 concentration scenario, we don’t know exactly how much climate will warm.
# of models used
IPCC 2013
Projections of
Surface Warming
More warming over land than over the ocean.
Why?

More warming in Arctic.

Why?
Note that we saw this pattern (larger
changes over land than over the oceans)

also in the temperature reconstructions from
the Last Glacial Maximum (textbook chapter
3, Fig. 10; lecture 2.2 slide 13) and in the
modern observations (textbook chapter 2,
Fig. 2)
Stippling: signi
fi
cant changes (model mean > 2 std of int. var.)
LGM
PI
Khatiwala et al., 2020
• Total temperature e
ff
ect (45
ppm) much larger than
previously thought due to
enhanced disequilibrium

• Iron e
ff
ect (26-35 ppm) also
ampli
fi
ed by disequilibrium

• Together T and Fe account for
3/4 (67-87 ppm) of atmospheric
CO2 change

• Sea ice and circulation not
important due to compensating
e
ff
ects of di
ff
erent C
components

Khatiwala et al., 2020
Muglia and Schmittner, 2021
• LGM AMOC depth well
constrained by sediment data

• LGM AMOC strength NOT well
constrained by sediment data
Schmittner and Lund, 2015
• Did AMOC collapse during
Heinrich Stadial 1 cause initial
rise of CO2?
Thank You!

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Modeling Past and Future Climate

  • 1. School of Ice, Aug. 2, 2021 Modeling Past and Future Climates Andreas Schmittner, Oregon State University
  • 3.
  • 4. Hierarchy of Climate Models • 0D Energy Balance Model (EBM) • 1D EBM • 1D Radiative-Convective Models • Intermediate Complexity Models (e.g. 2D EBMs) • 3D General Circulation Models (GCMs) Increasing Complexity
  • 5. Climate Models Equations based on conservation of • mass • momentum • energy • water • carbon • ... Equations are solved in each of the grid boxes of the model. Typically global climate models have about 20-30 layers in the atmosphere and about the same amount in the ocean. The horizontal grid box size varies from about 5 degrees (500 km) to about 1 degree (100 km) or less. Models with smaller grid box sizes r e s o l v e m o r e d e t a i l s ( h i g h e r resolution), but the y are also more computationally expensive to run.
  • 6. Interactive Components Included • Atmosphere • Ocean • Sea Ice • Land Surface (sometimes with interactive vegetation) • Ocean Biology and Chemistry (e.g. Carbon, Nutrient, and Oxygen Cycles) • (Ice Sheets, usually prescribed) Models that include biogeochemistry are also often called Earth System Models
  • 7. Parameterizations • Processes that cannot be resolved (smaller than grid box size need to be expressed in terms of resolved quantities; often empirical formulas) • Examples are clouds, convection (atmosphere), and mixing (ocean)
  • 8. Forcings • Models are driven by boundary conditions, e.g. incident solar radiation at the top-of-the-atmosphere, surface properties (albedo), changes in atmospheric CO2 • Interior is solved without the use of observations
  • 9. Model Evaluation Models are tested by comparing results to observations.
  • 11. What are climate models used for? • Paleoclimate Studies How did climate change in the past and why? • Detection and Attribution Is climate changing signi fi cantly and if so why? • Projections How may climate change in the future?
  • 12. Detection and Attribution of Climate Change IPCC 2013 FAQ 10.1
  • 13. IPCC AR5 Scenarios Uncertainty #1: Emissions We don’t know the future economic development. Will the real world follow more closely scenario RCP2.6, 4.5, 6, or 8.5? Di ff erent scenarios result in di ff erent emissions of substances that a ff ect climate (CO2, CH4, SO2) }AR4 }AR5 High emissions Strong emission reductions IPCC 2013 RCP = Representative Concentration Pathways (GHG concentrations prescribed) SRES = Special Report on Emissions Scenarios SSP = Shared Socioeconomic Pathways will be used in AR6
  • 14. IPCC 2013 Strong emission reductions Uncertainty #2: Carbon Cycle For a given CO2 emission scenario, we don’t know exactly how much carbon is taken up by the ocean and land and how much remains in the atmosphere a ff ecting climate. In AR5 concentrations (e.g. of CO2) are given (inset). Each concentration scenario corresponds to a range of emissions due to carbon cycle uncertainty. Spread only due to uncertainty in carbon cycle
  • 15. Spread only due to uncertainty in climate sensitivity Uncertainty #3: Climate Sensitivity For given CO2 concentration scenario, we don’t know exactly how much climate will warm. # of models used
  • 16. IPCC 2013 Projections of Surface Warming More warming over land than over the ocean. Why? More warming in Arctic. Why? Note that we saw this pattern (larger changes over land than over the oceans) also in the temperature reconstructions from the Last Glacial Maximum (textbook chapter 3, Fig. 10; lecture 2.2 slide 13) and in the modern observations (textbook chapter 2, Fig. 2) Stippling: signi fi cant changes (model mean > 2 std of int. var.)
  • 18. • Total temperature e ff ect (45 ppm) much larger than previously thought due to enhanced disequilibrium • Iron e ff ect (26-35 ppm) also ampli fi ed by disequilibrium • Together T and Fe account for 3/4 (67-87 ppm) of atmospheric CO2 change • Sea ice and circulation not important due to compensating e ff ects of di ff erent C components Khatiwala et al., 2020
  • 19. Muglia and Schmittner, 2021 • LGM AMOC depth well constrained by sediment data • LGM AMOC strength NOT well constrained by sediment data
  • 20. Schmittner and Lund, 2015 • Did AMOC collapse during Heinrich Stadial 1 cause initial rise of CO2?