And a follow up on the follow up to briefly note that we used a very simple 
model predictive control (i.e. relying on a simple dynamic model to make an 
initial estimate of the needed radiative forcing that can subsequently be 
corrected with feedback) in the paper Ken mentioned yesterday.  (The focus of 
that paper was to introduce the idea that the goal of a geoengineering 
deployment need not be to keep things constant, but potentially just to slow 
the rate of change… to do so we used feedback and MPC to track a desired 
trajectory, though we didn’t use the MPC terminology.)

 

I think we’re gradually making small progress as a community on treating this 
as a design problem rather than turning down the sun and noting what happens, 
that is, we get to choose how much (solar) geoengineering to do and how to 
distribute that in space, in order to focus on particular objectives such as 
maintaining Arctic sea ice. 

 

doug

 

From: [email protected] [mailto:[email protected]] 
On Behalf Of Ben Kravitz
Sent: Thursday, February 05, 2015 11:42 AM
To: [email protected]
Subject: [geo] Re: Assessing the controllability of Arctic sea ice extent by 
sulfate aerosol geoengineering

 

Hi everyone -

 

Just to follow up on Ken's reply, there has actually been quite a bit of work 
on this topic (papers attached):

 

D. G. MacMartin, B. Kravitz, D. W. Keith, and A. Jarvis (2014), Dynamics of the 
coupled human-climate system resulting from closed-loop control of solar 
geoengineering, Climate Dynamics, 43, 243-258, doi:10.1007/s00382-013-1822-9.

 

B. Kravitz, D. G. MacMartin, D. T. Leedal, P. J. Rasch, and A. J. Jarvis 
(2014), Explicit feedback and the management of uncertainty in meeting climate 
objectives with solar geoengineering, Environmental Research Letters, 9, 
044006, doi:10.1088/1748-9326/9/4/044006.

 

S. R. Weller and B. P. Schulz, Geoengineering via solar radiation management as 
a feedback control problem:  Controller design for disturbance rejection.  (I 
think this is a white paper, but if someone finds a better citation, please 
correct me.)

 

I think there is a lot of potential for using control theory in geoengineering 
research, or in basic climate research for that matter.  I would consider this 
a wide open field right now.  Putting controllers in climate models can be 
applied to many different variables to achieve many different climate goals.

 

In the attached MacMartin et al. and Kravitz et al., we applied simple 
proportional-integral control (explained in more detail in the two papers), 
where we used information from past years to calibrate the response of 
geoengineering.  In the Weller and Schulz paper, they used a different method 
of control to do something similar.  What I really like about Jackson et al. is 
that they used model predictive control - instead of just using information 
from past years, they also ran a simple predictive model after every year and 
used that information to guide their controller as well.  As Andrew said, a 
very clever approach.

 

The important thing to note in these papers is the use of two separate models:  
a control design model and a real world proxy.  This mimics how control on SRM 
might actually work in the real world (assuming such a thing were actually 
doable in the real world and that SRM would work in a similar way to how the 
models say it would).  One would effectively get as many climate model 
simulations as one wanted, but there is only one Earth, so it's very important 
to "get it right" in the real world proxy the first time.

 

Best,

 

Ben

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