Science - USA (2020-09-25)

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Atlantic 2017 MHW, which caused fish mass
mortalities ( 32 ); and the Southern Ocean
2016 MHW, which has been linked to strong
decreases in sea ice ( 8 ).
With the exception of the Southwest Atlan-
tic 2017 MHW, all analyzed MHWs have been
the longest and most intense MHWs in their
respective regions within satellite tempera-
ture recording (fig. S1). This raises the ques-
tion of whether their occurrence has been
influenced by anthropogenic climate change.
By calculating the FAR, we determine to what
extent the occurrence probability of heatwaves
equaling or exceeding the observed dura-
tion, intensity, and cumulative intensity has
already been affected by anthropogenic cli-
mate change.
The FAR of MHW intensity is generally
very high, with point estimates between 0.97
and 1.0 for all but one of the MHWs that could
be attributed and with narrow confidence
intervals for most of the heatwaves (Table 1).
These high FAR values indicate a more than
20-fold increase in occurrence probability
of similarly warm MHWs caused by anthro-
pogenic climate change. Additionally, accord-
ing to our results, it is very unlikely that the
MHWs could have reached the high temper-
atures that were measured without the influ-
ence of climate change. The only exceptions
are the Western Australian 2011 MHW, which
we could not attribute (materials and meth-
ods), and the Southern Ocean 2016, which has
a FAR close to zero, indicating little change
in occurrence probability as a result of cli-
mate change.
FAR values of heatwave duration are like-
wise very high. The point estimates are above
0.79 for five of the six heatwaves that could be
attributed (Table 1). Exceptions are the Indo-
Australian 2016 MHW, for which we could not


attribute the duration (materials and meth-
ods), and the Southern Ocean 2016 MHW,
where we found a decreased occurrence prob-
ability in the present-day climate. In the South-
ern Ocean, several models simulate only a
modest warming or even decreases in SST
over the historical period. Additionally, many
models show a reduction of interannual var-
iability there (figs. S2 to S8). The lack of sur-
face ocean warming in the Southern Ocean
reflects large-scale, interhemispheric asymme-
tries in the mean ocean circulation. The South-
ern Ocean circulation is dominated by strong
upwelling, which nearly anchors SST at pre-
industrial levels under transient global warm-
ing ( 33 ). However, simulating SST in the
Southern Ocean is challenging for models,
as the processes leading to the formation
of sea ice and the formation of deep-water
masses are currently not well represented,
which decreases model fidelity in this highly
dynamic region ( 34 , 35 ).
FAR values of cumulative intensity are >0.96
for three of the four heatwaves that could be
attributed (Table 1). Again, the only exception
is the Southern Ocean, where we find a nega-
tive FAR value—that is, a lower occurrence
probability in the present-day climate. Overall,
our results clearly demonstrate that anthro-
pogenic climate change has already had a sub-
stantial impact on the probability of individual
MHW occurrences in terms of intensity, dura-
tion, and cumulative intensity.
To illustrate the effect of future climate
change on the occurrence of the seven large
MHWs, we calculated return periods for dif-
ferent levels of global warming (Fig. 2). For
MHWs equaling or exceeding the duration,
intensity, or cumulative intensity of the ob-
served ones, return periods sharply decrease
under global warming. MHWs were extremely

rare events during preindustrial times, with
expected return periods of hundreds to thou-
sands of years for North Atlantic MHWs and
>10,000 years for all other MHWs in terms
of their intensity, duration, and cumulative
intensity.
Under the condition of 1.5°C of global warm-
ing, the return periods of all MHWs are re-
duced to ten to hundreds of years, with the
exception of heatwaves that are as intense as
the Western Australian MHW and the South-
ern Ocean MHW, which have slightly higher
return periods. Under the condition of 3°C of
warming, the return periods of all MHWs are
only 1 to 10 years—again with the exception of
the intensity of the Western Australian MHW
and the Southern Ocean MHW, which have
slightly higher return periods.
The intensity of the Southern Ocean MHW
has a longer return period at 0.5°C of warm-
ing compared with preindustrial conditions.
This is explained by high preindustrial tem-
perature variability in many models and a
modest warming in the present day (fig. S7).
At higher levels of warming, the return periods
shorten in the Southern Ocean as well, reach-
ing return periods of <10 years for both heat-
wave duration and cumulative intensity at 3°C
of warming. In a 3°C-warmer world, the re-
gions in which the Northeast Pacific, the South-
west Atlantic, and the Indo-Australian Basin
MHWs occurred all reach SSTs above the pre-
industrial 99th temperature percentile for >97%
of the data, which means that they are essen-
tially in a continuous, extreme heatwave state.
Limiting global warming to 1.5° or 2°C will
temporarily relieve these regions from heat
pressure, such that expected return periods
between 5 and 20 years (for heatwave dura-
tion, intensity, and cumulative intensity) might
leave some limited time for recovery.

1624 25 SEPTEMBER 2020•VOL 369 ISSUE 6511 sciencemag.org SCIENCE


Table 1. Attribution of duration, intensity, and cumulative intensity
of seven MHWs to anthropogenic climate change.In contrast to the
three-dimensional heatwave definition used in Fig. 1, the heatwaves
are defined here on one-dimensional time series, which represent regional
averages across the areas where the respective heatwaves occurred
(materials and methods). Duration denotes the number of consecutive

days above the 99th percentile, heatwave intensity is the average
temperature anomaly above the baseline climatology in degrees Celsius,
and cumulative intensity is the sum of all temperature anomalies over the
duration of the heatwave. We present the point estimate for the attributable
risk (FAR) and the 95% confidence interval in brackets. Heatwaves that
we cannot attribute are denoted with a dash (materials and methods).

Heatwave
number

Time and
location

Intensity
(°C)

FAR
intensity

Duration
(days)

FAR
duration

Cumulative intensity
(°C days 1000 km^2 )

FAR cumulative
intensity

...................................................................................................................................^1 Western Australian 2011 2.26 ......................................................................................................................................–^101 0.79 [−0.55, 0.97]^9 .......................................................–
...................................................................................................................................^2 Northwest Atlantic 2012 2.15 0.97 [0.92, 0.99]......................................................................................................................................^57 0.96 [0.94, 0.97]^41 .......................................................0.96 [0.94, 0.98]
...................................................................................................................................^3 Northeast Pacific 2013 to 2015 1.56 1.0 [0.97, 1.0]......................................................................................................................................^357 1.0 [0.99, 10]^530 .......................................................1.0 [0.99, 1.0]
...................................................................................................................................^4 Tasman Sea 2015 and 2016 1.49 0.98 [0.92, 0.99]......................................................................................................................................^175 1.0 [0.49, 1.0]^37 .......................................................–
...................................................................................................................................^5 Indo-Australian Basin 2016 1.67 1.0 [0.77, 1.0]......................................................................................................................................^90 –^13 .......................................................–
...................................................................................................................................^6 Southern Ocean 2016* 1.0 0.03 [......................................................................................................................................−2.71, 0.74]^183 −0.6 [−2.6, 0.26]^47 .......................................................−6.5 [−42.26,−0.34]
...................................................................................................................................^7 Southwest Atlantic 2017 1.96 1.0 [0.74, 1.0]......................................................................................................................................^82 1.0 [0.91, 1.0]^11 .......................................................1.0 [0.87, 1.0]

*Represents two spatially distinct heatwaves that occurred simultaneously in different parts of the Southern Ocean.

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