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ASSESSING
CLIMATE VARIABILITY & CHANGE WITH
EXPLAINABLE NEURAL NETWORKS
@ZLabe
Zachary M. Labe
with Elizabeth A. Barnes
Colorado State University
Department of Atmospheric Science
13 October 2021
Lunchtime Seminar
GFDL – Princeton AOS
Machine Learning
is not new!
Machine Learning
is not new!
Artificial Intelligence
Machine Learning
Deep Learning
Computer Science
Computer Science
Artificial Intelligence
Machine Learning
Deep Learning
Supervised
Learning
Unsupervised
Learning
Labeled data
Classification
Regression
Unlabeled data
Clustering
Dimension reduction
• Do it better
• e.g., parameterizations in climate models are not
perfect, use ML to make them more accurate
• Do it faster
• e.g., code in climate models is very slow (but we
know the “right” answer) - use ML methods to
speed things up
• Do something new
• e.g., go looking for non-linear relationships you
didn’t know were there
Very relevant for
research: may be
slower and worse,
but can still learn
something
WHY SHOULD WE CONSIDER
MACHINE LEARNING?
Machine learning for weather
IDENTIFYING SEVERE THUNDERSTORMS
Molina et al. 2021
Toms et al. 2021
CLASSIFYING PHASE OF MADDEN-JULLIAN OSCILLATION
SATELLITE-CONVECTION DETECTION
Lee et al. 2021
DETECTING TORNADOES
McGovern et al. 2019
Machine learning for climate
FINDING FORECASTS OF OPPORTUNITY
Mayer and Barnes, 2021
PREDICTING CLIMATE MODES OF VARIABILITY
Gordon et al. 2021, ESSOAr
TIMING OF EMERGENCE
Barnes et al. 2019
INPUT
[DATA]
PREDICTION
Machine
Learning
INPUT
[DATA]
PREDICTION
Machine
Learning
Artificial Intelligence
Machine Learning
Deep Learning
X1
X2
INPUTS
Artificial Neural Networks [ANN]
Linear regression!
Artificial Neural Networks [ANN]
X1
X2
W1
W2
∑ = X1W1+ X2W2 + b
INPUTS
NODE
Artificial Neural Networks [ANN]
X1
X2
W1
W2
∑
INPUTS
NODE
Linear regression with non-linear
mapping by an “activation function”
Training of the network is merely
determining the weights “w” and
bias/offset “b"
= factivation(X1W1+ X2W2 + b)
X1
X2
∑
inputs
HIDDEN LAYERS
X3
∑
∑
∑
OUTPUT
= predictions
Artificial Neural Networks [ANN]
: : ::
INPUTS
Complexity and nonlinearities of the ANN allow it to learn many
different pathways of predictable behavior
Once trained, you have an array of weights and biases which can be
used for prediction on new data
INPUT
[DATA]
PREDICTION
Artificial Neural Networks [ANN]
TEMPERATURE
TEMPERATURE
We know some metadata…
+ What year is it?
+ Where did it come from?
We know some metadata…
+ What year is it?
+ Where did it come from?
TEMPERATURE
We know some metadata…
+ What year is it?
+ Where did it come from?
TEMPERATURE
Neural network learns nonlinear
combinations of forced climate
patterns to identify the year
----ANN----
2 Hidden Layers
10 Nodes each
Ridge Regularization
Early Stopping
We know some metadata…
+ What year is it?
+ Where did it come from?
[e.g., Barnes et al. 2019, 2020]
[e.g., Labe and Barnes, 2021]
TIMING OF EMERGENCE
(COMBINED VARIABLES)
RESPONSES TO
EXTERNAL CLIMATE
FORCINGS
PATTERNS OF
CLIMATE INDICATORS
[e.g., Rader et al. 2021, in prep]
Surface Temperature Map Precipitation Map
+
TEMPERATURE
----ANN----
2 Hidden Layers
10 Nodes each
Ridge Regularization
Early Stopping
We know some metadata…
+ What year is it?
+ Where did it come from?
[e.g., Barnes et al. 2019, 2020]
[e.g., Labe and Barnes, 2021]
TIMING OF EMERGENCE
(COMBINED VARIABLES)
RESPONSES TO
EXTERNAL CLIMATE
FORCINGS
PATTERNS OF
CLIMATE INDICATORS
[e.g., Rader et al. 2021, in prep]
Surface Temperature Map Precipitation Map
+
TEMPERATURE
THE REAL WORLD
(Observations)
What is the annual mean temperature of Earth?
What is the annual mean temperature of Earth?
THE REAL WORLD
(Observations)
Anomaly is relative to 1951-1980
What is the annual mean temperature of Earth?
• Increasing greenhouse gases (CO2, CH4, N2O)
• Changes in industrial aerosols (SO4, BC, OC)
• Changes in biomass burning (aerosols)
• Changes in land-use & land-cover (albedo)
A CLIMATE MODEL
(CESM1.1-LE)
What is the annual mean temperature of Earth?
• Increasing greenhouse gases (CO2, CH4, N2O)
• Changes in industrial aerosols (SO4, BC, OC)
• Changes in biomass burning (aerosols)
• Changes in land-use & land-cover (albedo)
Plus everything else…
(Natural/internal variability)
A CLIMATE MODEL
(CESM1.1-LE)
What is the annual mean temperature of Earth?
[CESM1 "Single Forcing" Large Ensemble Project]
Greenhouse gases fixed to 1920 levels
All forcings (CESM-LE)
Industrial aerosols fixed to 1920 levels
[Deser et al. 2020, JCLI]
Fully-coupled CESM1.1
20 Ensemble Members
Run from 1920-2080
Observations
So what?
Greenhouse gases = warming
Aerosols = ?? (though mostly cooling)
What are the relative responses
between greenhouse gas
and aerosol forcing?
Surface Temperature Map
ARTIFICIAL NEURAL NETWORK (ANN)
INPUT LAYER
Surface Temperature Map
ARTIFICIAL NEURAL NETWORK (ANN)
INPUT LAYER
HIDDEN LAYERS
OUTPUT LAYER
Surface Temperature Map
“2000-2009”
DECADE CLASS
“2070-2079”
“1920-1929”
ARTIFICIAL NEURAL NETWORK (ANN)
INPUT LAYER
HIDDEN LAYERS
OUTPUT LAYER
Surface Temperature Map
“2000-2009”
DECADE CLASS
“2070-2079”
“1920-1929”
BACK-PROPAGATE THROUGH NETWORK = EXPLAINABLE AI
ARTIFICIAL NEURAL NETWORK (ANN)
INPUT LAYER
HIDDEN LAYERS
OUTPUT LAYER
Layer-wise Relevance Propagation
Surface Temperature Map
“2000-2009”
DECADE CLASS
“2070-2079”
“1920-1929”
BACK-PROPAGATE THROUGH NETWORK = EXPLAINABLE AI
ARTIFICIAL NEURAL NETWORK (ANN)
[Barnes et al. 2020, JAMES]
[Labe and Barnes 2021, JAMES]
OUTPUT LAYER
Layer-wise Relevance Propagation
“2000-2009”
DECADE CLASS
“2070-2079”
“1920-1929”
BACK-PROPAGATE THROUGH NETWORK = EXPLAINABLE AI
WHY?
= LRP HEAT MAPS
[Labe and Barnes 2021, JAMES]
Layer-wise Relevance Propagation
BACK-PROPAGATE THROUGH NETWORK = EXPLAINABLE AI
WHY?
= LRP HEAT MAPS
Machine Learning
Black Box
[Labe and Barnes 2021, JAMES]
Layer-wise Relevance Propagation
BACK-PROPAGATE THROUGH NETWORK = EXPLAINABLE AI
WHY?
= LRP HEAT MAPS
Find regions of “relevance”
that contribute to the
neural network’s
decision-making process
[Labe and Barnes 2021, JAMES]
LAYER-WISE RELEVANCE PROPAGATION (LRP)
Volcano
Great White
Shark
Timber
Wolf
Image Classification LRP
https://heatmapping.org/
LRP heatmaps show regions
of “relevance” that
contribute to the neural
network’s decision-making
process for a sample
belonging to a particular
output category
Neural Network
WHY
WHY
WHY
Backpropagation – LRP
LAYER-WISE RELEVANCE PROPAGATION (LRP)
Volcano
Great White
Shark
Timber
Wolf
Image Classification LRP
https://heatmapping.org/
LRP heatmaps show regions
of “relevance” that
contribute to the neural
network’s decision-making
process for a sample
belonging to a particular
output category
Neural Network
WHY
WHY
WHY
Backpropagation – LRP
LAYER-WISE RELEVANCE PROPAGATION (LRP)
Volcano
Great White
Shark
Timber
Wolf
Image Classification LRP
https://heatmapping.org/
LRP heatmaps show regions
of “relevance” that
contribute to the neural
network’s decision-making
process for a sample
belonging to a particular
output category
Neural Network
WHY
WHY
WHY
Backpropagation – LRP
LAYER-WISE RELEVANCE PROPAGATION (LRP)
Image Classification LRP
https://heatmapping.org/
NOT PERFECT
Crock
Pot
Neural Network
WHY
Backpropagation – LRP
[Adapted from Adebayo et al., 2020]
EXPLAINABLE AI IS
NOT PERFECT
THERE ARE MANY
METHODS
[Adapted from Adebayo et al., 2020]
THERE ARE MANY
METHODS
EXPLAINABLE AI IS
NOT PERFECT
Visualizing something we already know…
Neural
Network
[0] La Niña [1] El Niño
[Toms et al. 2020, JAMES]
Input a map of sea surface temperatures
Visualizing something we already know…
Input maps of sea surface
temperatures to identify
El Niño or La Niña
Use ‘LRP’ to see how the
neural network is making
its decision
[Toms et al. 2020, JAMES]
Layer-wise Relevance Propagation
Composite Observations
LRP [Relevance]
SST Anomaly [°C]
0.00 0.75
0.0 1.5
-1.5
INPUT LAYER
HIDDEN LAYERS
OUTPUT LAYER
Layer-wise Relevance Propagation
Surface Temperature Map
“2000-2009”
DECADE CLASS
“2070-2079”
“1920-1929”
BACK-PROPAGATE THROUGH NETWORK = EXPLAINABLE AI
ARTIFICIAL NEURAL NETWORK (ANN)
[Barnes et al. 2020, JAMES]
[Labe and Barnes 2021, JAMES]
1960-1999: ANNUAL MEAN TEMPERATURE TRENDS
Greenhouse gases fixed
to 1920 levels
[AEROSOLS PREVAIL]
Industrial aerosols fixed
to 1920 levels
[GREENHOUSE GASES PREVAIL]
All forcings
[STANDARD CESM-LE]
DATA
Colder Warmer
1960-1999: ANNUAL MEAN TEMPERATURE TRENDS
Greenhouse gases fixed
to 1920 levels
[AEROSOLS PREVAIL]
Industrial aerosols fixed
to 1920 levels
[GREENHOUSE GASES PREVAIL]
All forcings
[STANDARD CESM-LE]
DATA
Colder Warmer
1960-1999: ANNUAL MEAN TEMPERATURE TRENDS
Greenhouse gases fixed
to 1920 levels
[AEROSOLS PREVAIL]
Industrial aerosols fixed
to 1920 levels
[GREENHOUSE GASES PREVAIL]
All forcings
[STANDARD CESM-LE]
DATA
1960-1999: ANNUAL MEAN TEMPERATURE TRENDS
Greenhouse gases fixed
to 1920 levels
[AEROSOLS PREVAIL]
Industrial aerosols fixed
to 1920 levels
[GREENHOUSE GASES PREVAIL]
All forcings
[STANDARD CESM-LE]
DATA
Colder Warmer
CLIMATE MODEL DATA PREDICT THE YEAR FROM MAPS OF TEMPERATURE
AEROSOLS
PREVAIL
GREENHOUSE GASES
PREVAIL
STANDARD
CLIMATE MODEL
[Labe and Barnes 2021, JAMES]
OBSERVATIONS PREDICT THE YEAR FROM MAPS OF TEMPERATURE
AEROSOLS
PREVAIL
GREENHOUSE GASES
PREVAIL
STANDARD
CLIMATE MODEL
[Labe and Barnes 2021, JAMES]
OBSERVATIONS
SLOPES
PREDICT THE YEAR FROM MAPS OF TEMPERATURE
AEROSOLS
PREVAIL
GREENHOUSE GASES
PREVAIL
STANDARD
CLIMATE MODEL
[Labe and Barnes 2021, JAMES]
[Labe
and
Barnes
2021,
JAMES]
ARE THE RESULTS ROBUST?
YES!
COMBINATIONS OF TRAINING/TESTING DATA – 100 x
Low High
HOW DID THE ANN
MAKE ITS
PREDICTIONS?
Low High
HOW DID THE ANN
MAKE ITS
PREDICTIONS?
WHY IS THERE
GREATER SKILL
FOR GHG+?
RESULTS FROM LRP
[Labe and Barnes 2021, JAMES]
Low High
Low High
RESULTS FROM LRP
[Labe and Barnes 2021, JAMES]
WHAT IS
SIGNIFICANT?
RESULTS FROM LRP
[Labe and Barnes 2021, JAMES]
Low High
Higher LRP values indicate greater relevance
for the ANN’s prediction
AVERAGED OVER 1960-2039
Aerosol-driven
Greenhouse gas-driven
All forcings
Low High
[Labe and Barnes 2021, JAMES]
Greenhouse gas-driven
Aerosol-driven
All forcings
AVERAGED OVER 1960-2039
[Labe and Barnes 2021, JAMES]
DISTRIBUTIONS OF LRP
AVERAGED OVER 1960-2039
[Labe and Barnes 2021, JAMES]
Less relevant More relevant
DISTRIBUTIONS OF LRP
AVERAGED OVER 1960-2039
[Labe and Barnes 2021, JAMES]
Less relevant More relevant
----ANN----
2 Hidden Layers
10 Nodes each
Ridge Regularization
Early Stopping
TEMPERATURE
We know some metadata…
+ What year is it?
+ Where did it come from?
TEMPERATURE
We know some metadata…
+ What year is it?
+ Where did it come from?
Train on data from the
Multi-Model Large
Ensemble Archive
TEMPERATURE
We know some metadata…
+ What year is it?
+ Where did it come from?
NEURAL NETWORK
CLASSIFICATION TASK
HIDDEN LAYERS
INPUT LAYER
STANDARD EVALUATION OF
CLIMATE MODELS
Pattern correlation
RMSE
EOFs
Trends, anomalies, mean state
Climate modes of variability
COMPARING CLIMATE MODELS
LRP
(Explainable AI)
Raw data
(Difference from
multi-model mean)
Low High
Colder Warmer
What climate model
does the network
predict for each year
of observations?
Multi-Model Mean
APPLYING METHODOLOGY TO REGIONS
PREDICTION FOR EACH YEAR IN OBSERVATIONS LRP (EXPLAINABLE AI) COMPARED TO RAW DATA
Higher Confidence
Lower Confidence
RANKING CLIMATE MODEL PREDICTIONS FOR EACH YEAR IN OBSERVATIONS
I. Explainable neural networks reveal patterns of climate change in
large ensembles simulated with different combinations of external
forcing
II. Neural networks can be used to identify unique model differences
and biases between large ensembles and observations
III. But what about predictability in the climate system?
I. Explainable neural networks reveal patterns of climate change in
large ensembles simulated with different combinations of external
forcing
II. Neural networks can be used to identify unique model differences
and biases between large ensembles and observations
III. But what about predictability in the climate system?
I. Explainable neural networks reveal patterns of climate change in
large ensembles simulated with different combinations of external
forcing
II. Neural networks can be used to identify unique model differences
and biases between large ensembles and observations
III. But what about predictability in the climate system?
Global Warming
Hiatus?
…in research
Global Warming
Hiatus?
…in research
Global Warming
Hiatus?
…in research
Global Warming
Hiatus?
…in research
Global Warming
Hiatus?
…in research
Global Warming
Hiatus?
…in research
Global Warming
Hiatus?
…in the media, etc.
Global Warming
Hiatus?
>300 papers, to-date
Hiatus period?
Temperature
Anomaly
(°C)
Are slowdowns (“hiatus”) in decadal
warming predictable?
• Statistical construct?
• Lack of surface temperature observations in the Arctic?
• Phase transition of the Interdecadal Pacific Oscillation (IPO)?
• Influence of volcanoes and other aerosol forcing?
• Weaker solar forcing?
• Lower equilibrium climate sensitivity (ECS)?
• Other combinations of internal variability?
Select one ensemble
member and calculate
the annual mean
global mean surface
temperature (GMST)
START OF 10-YEAR
TEMPERATURE TREND
2-m TEMPERATURE
ANOMALY
Calculate 10-year
moving (linear) trends
2-m TEMPERATURE
ANOMALY
Plot the slope of the
linear trends
START OF 10-YEAR
TEMPERATURE TREND
2-m TEMPERATURE
ANOMALY
Calculate a threshold
for defining a slowdown
in decadal warming
Repeat this exercise for
each ensemble
member in CESM2-LE
Compare warming
slowdowns with
reanalysis (ERA5)
So how well does the neural network do?
Low High Colder Warmer
Low High Colder Warmer
Low High Colder Warmer
What about observations?
Future (2012-)
so-called “hiatus”
What about observations?
Future (2012-)
so-called “hiatus”
Comparing
observations to
the IPO
What about observations?
Future (2012-)
so-called “hiatus”
2021 (preliminary)
Looking ahead
to the near-
future…
?
What about observations?
Low High
[2003, 2004] [2016, 2017]
What about observations?
Colder Warmer
[2003, 2004] [2016, 2017]
INPUT
[DATA]
PREDICTION
Machine
Learning
Explainable AI
Learn new
science!
MACHINE LEARNING IS JUST
ANOTHER TOOL TO ADD TO OUR
WORKFLOW.
1)
MACHINE LEARNING IS
NO LONGER A BLACK BOX – WE CAN
ADDRESS PHYSICAL MECHANISMS.
2)
3)
WE CAN LEVERAGE NOVEL DATA
SCIENCE METHODS WITH NEW
CLIMATE MODEL LARGE ENSEMBLES.
ASSESSING
CLIMATE VARIABILITY & CHANGE WITH
EXPLAINABLE NEURAL NETWORKS
CLIMATE/EVENT ATTRIBUTION
GFDL’s SPEAR-MED NATURAL, Hist_SSP245, Hist_SSP585 runs
Experiments using GFDL’s SPEAR for decadal prediction
DECADAL PREDICTION
DETECTING EXTREME EVENTS
E.g., Very Rapid Ice Loss Events (VRILEs) in the Arctic
S2S FORECASTS OF OPPORTUNITY
How will climate change affect teleconnections (FOO)?
FUTURE DIRECTIONS
KEY POINTS
Zachary Labe
zmlabe@rams.colostate.edu
@ZLabe
1. Machine learning is just another possible tool to add to our scientific workflow
2. Machine learning is no longer a black box – we can address physical mechanisms in the
climate system.
3. We can leverage novel data science methods with new climate model large ensembles to
investigate S2S/S2D predictability and attribution of extreme events.

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