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Date
Dec 6, 2023
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Oct. 12 2023
EOSC340 Assignment 3
page: 1/2
(1)
Assignment 3: feedbacks
In this assignment you will perform calculations similar to those climate scientists use to estimate the strengths of the various climate
feedbacks. For questions 1 and 2 you will require the MODTRAN model (using the default settings). Access the model through this
website:
https://forecast.uchicago.edu/modtran/
Q1. Start with the default configuration (tropical, 70 km, looking down,
at 400,
at 1.7, Trop. Ozone at 28ppb and all other gas
scales set to 1). Defining
as the change in net energy flux INTO the climate system in response to a forcing, adjust the methane
concentration in Modtran to calculate
. Methane has increased since pre-industrial times - it was about 1 ppm CH4 in 1870
and is close to 1.9 ppm
now (approximate methane levels were obtained from
https://www.methanelevels.org
, which also includes
information about the sources of data).
For a change of
from 1ppm to 1.9ppm, what is
? Give your answer in
Q2. The concentration of methane is projected to increase to 3.5 ppm by 2100 if we do little about the problem between now and then.
Using modtran again, calculate
as you change
from 1.9 ppm to 3.5 ppm. Your answer should be in
.
Q3. As we increase methane (positive
) the greenhouse effect increases, i.e. this is a positive forcing (positive
), but you
should have found in the first two questions that the value of
depends on the methane concentration - the amount of
increased radiative forcing for a given increase in
is not constant for all values of starting
. Why does
change when
the methane concentration gets larger? Make sure to mention both the name of the phenomenon as well as a brief description of its
effect. (
1
-
2 sentences
)
Q4. An amplifying feedback mechanism that is not yet operating on a large scale is the methane feedback: as global temperatures
increase, methane frozen in the high-latitude permafrost regions may be released to the atmosphere as the permafrost begins to thaw.
Assume that the current climate sensitivity, without this permafrost methane feedback, is λ=0.8
. Suppose this new
permafrost methane feedback is added to the current climate sensitivity; the new feedback is such that, for every global temperature
increase of 1 °C, atmospheric methane increases by 1.75 ppm.
a. Find the smallest value of
that would drive the total feedback to runaway greenhouse effect (
). Your answer should
be in
. (hint: use the climate sensitivity to work out the total feedback factor
, and recall how we add feedback factors
from different feedbacks )
b. Using your understanding of
from the first two questions (we can set
=
as the response of the
climate to increased
is the same whether the methane comes from a forcing, or a feedback), would this new methane feedback
lead us to a runaway greenhouse effect, given that current
levels are already at 1.9ppm? Explain why/why not.
Q5) Methane is supplied to the atmosphere at a rate
and it is removed by natural processes at a rate proportional to the current
atmospheric concentration of Methane with a time constant of about ten years. In other words, the rate of flow OUT of the atmosphere
for methane is
in
and so the stock and flow equation for methane is:
Currently, atmospheric methane concentration is about
= 1.9 ppm. If we assume
is in equilibrium, i.e.
(this isn’t
quite true, as discussed above methane values are increasing, but assume it is for this question), then:
a. what is
?
b. Currently, the contribution to
value from Arctic lakes and oceans is about 10% of the total input rate:
= 0.1 *
. Assuming
the Arctic methane emission rate doubled, but all other sources and sinks of methane remain unchanged, what value of atmospheric
methane concentration,
, would the new equilibrium climate have?
Oct. 12 2023
EOSC340 Assignment 3
page: 2/2
(2)
Use the following figure to answer questions 6 and 7.
Q6) Using the above plot, by what factor would the water-vapour feedback factor
change if the global atmospheric temperature
were to increase from 10°C to 30°C? Assume the relative humidity stays at 95%, and that the value of
is independent of
temperature.
Hint: recall that:
and use the graph to evaluate the derivative,
, centered at the two temperatures
A)
increases by a factor of 1.4
B)
increases by a factor of 3.1
C)
increases by a factor of 5.5
D)
increases by a factor of 9.2
E)
increases by a factor of 12.5
Q7) If
= 1.2
and the sum of all climate feedbacks excluding the water vapour feedback is
, what is the approximate coldest temperature at which point the the water-vapour feedback becomes strong enough to cause a
runaway feedback? Again, assume the relative humidity remains at 95% and use the graph above.
A) 0C
B) 10C
C) 20C
D) 30C
E) 40C
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