Operational attribution
Myles Allen
Department of Physics, University of Oxford
myles.allen@physics.ox.ac.uk
With thanks to:
Pardeep Pall & D‡ith’ Stone, University of Oxford
Peter Stott, The Met Office

Why should we develop operational attribution?
Policy-makers, lawyers, the public and the media:
ÒWas this flood/drought/... due to climate change/ENSO/É?Ó
No consensus on response: question is ambiguous.
Essential element in costing climate change impacts.
The insurance industry and its customers:
Currently withdrawing from risks that may be influenced by climate change, even risks that may in fact be insurable.
Understanding of the origins of current risks allows rational choices of what risks we accept in a changing climate.
The scientific community:
Because we want to know what is going on.

How can we answer the question ÒIs climate change to blame for this flood?Ó
Making sense of the question
First formalize the question as one we can actually answer and convince the questioner that that is what they actually meant.
Treat weather events as indivisible, like deaths.
Use Òattributable riskÓ methods from epidemiology.
P1: probability of event under current conditions.
P0: probability of similar event with external driver removed.
Fraction Attributable Risk FAR = 1 - P0/P1
Using coupled models to estimate attributable warming.
Statistical methods to estimate FAR (Stott et al, 2004).
GCM-based methods to estimate FAR (Pall et al, 2007).
Extensions to other regions and variables (Hoerling, 2007).

The European heat-wave of 2003
Modelling Southern European area-averaged June-July-August summer temperatures
How we attribute different contributions to an observed change in expected temperatures
Expected temperatures are not a random variable.
Treat this as a standard regression problem, with contributions from model-simulated patterns of response to different external drivers as the unknown parameters.
Conventional likelihoods for uncertainty estimates.
Complications arising from noise in model-simulated patterns: use a Total Least Squares or Errors in Variables approach.

An example: attribution of hemispheric temperature changes with HadCM3
An example: attribution of hemispheric temperature changes with GFDL
An example: attribution of hemispheric temperature changes with PCM
External contributions to European summer temperatures, relative to pre-industrial
Inferring external contributions to risk from external contributions to expected temperatures
Stott et al (2004): assumed internal variability in large-area-averaged temperatures is unaffected by changing mean climate (no evidence to contrary).
Fit EV distribution to model-simulated variability, allowing for uncertainty in EV parameters.
Subtract possible offsets (change location parameter) due to anthropogenic influence to generate possible temperature distributions.
Only applies to variables like large-scale temperatures for which we can defensibly assume no change in variability.

Changing risks of European heatwaves
(Stott et al, 2004)
Anthropogenic contribution to the risk of the 2003 heat-wave
Conclusions of Stott et al, 2004, study of the 2003 European heat-wave
Human influence very likely increased the risk of such a heat-wave by at least a factor of two, with a best guess factor of 6-10.
But this study was based on a relatively coarse-resolution model (~250km grid over Europe), so conclusions only apply to large-scale, seasonally averaged temperatures.
Still work to be done for small-scale risks & for variables other than temperature.

Autumn 2000 floods in the UK
A template for operational attribution
(Pall et al, 2007)
Aim: to quantify the role of increased greenhouse gases in precipitation responsible for 2000 floods.
Challenge: relatively unlikely event even given 2000 climate drivers and sea surface temperatures (SSTs).
Approach: large (multi-thousand-member) ensemble simulation of April 2000 – March 2001 using forecast-resolution global model (80km resolution near UK).
Identical Ònon-industrialÓ ensemble removing the influence of increased greenhouse gases, including attributable SST change.
Use several coupled models for SST pattern to allow for uncertainty.

What, in climate research, is a relatively high-resolution model
Patterns of SST signal removed: 1990s seasonal surface temperatures relative to control
Large ensembles required, so we use distributed computing: http://attribution.cpdn.org
Autumn 2000 as observed (ERA-40 reanalysis)É




Éand in one of the wetter members of our ensemble.
Return-times versus total Sept-Nov precipitation in the ÒAutumn 2000Ó ensemble
Return-times after removing estimated signal of greenhouse warming
Return-times after removing estimated signal of greenhouse warming
Contribution of greenhouse warming to risk of Autumn 2000 3-month precipitation anomalies
Implications of Pall et al study
Early studies with coarse-resolution driving models gave diametrically opposing conclusions re: anthropogenic trend in flood risk.
Large ensemble simulations with higher-resolution models give more modest, but still substantial, anthropogenic increase in flood risk.
We need large ensembles to capture events of interest, and we need relatively high resolution to simulate them realistically: ideal application for novel (ÒgridÓ) computing resources.

Changing drought risk in Tripoli due to greenhouse gas increase 1900-2000
Link to work on attribution of trends in African rainfall (Hoerling et al, 2007)
Impact of Indian Ocean warming on Southern African rainfall