Recent severe heat waves in central Europe: how to view them in a

INTERNATIONAL JOURNAL OF CLIMATOLOGY
Int. J. Climatol. 30: 89–109 (2010)
Published online 23 February 2009 in Wiley InterScience
(www.interscience.wiley.com) DOI: 10.1002/joc.1874
Recent severe heat waves in central Europe: how to view
them in a long-term prospect?
Jan Kyselý*
Institute of Atmospheric Physics AS CR, Bočnı́ II 1401, 141 31 Prague, Czech Republic
ABSTRACT: The study examines whether recent occurrences of severe heat waves in central Europe were exceptional in
the context of past fluctuations, and estimates their recurrence probabilities under several climate change scenarios. Using
data from a network of meteorological stations in the Czech Republic since 1961, it is found that 1994 was the year with
the most severe heat waves over majority of the area. The other seasons with enhanced heat wave characteristics were
1992, 2003 and 2006. Analysis of the long-term temperature series at Prague-Klementinum reveals that the July 2006 heat
wave, covering 33 consecutive days, was the longest and most severe individual heat wave since 1775. Probabilities of
long and severe heat waves are estimated from daily temperature series generated by a first-order autoregressive model
with a deterministic component (incorporating a seasonal cycle and a long-term trend). The model is validated with respect
to the simulation of heat waves in present climate (1961–2006) and subsequently run under several assumptions reflecting
various rates of summer warming over 2007–2100. The return period of a heat wave reaching or exceeding the length
of the 2006 heat wave in Prague is estimated to be around 120 years in 2006. Owing to an increase in mean summer
temperatures, probabilities of very long heat waves have already risen by an order of magnitude over the recent 25 years,
and are likely to increase by another order of magnitude by around 2040 under the summer warming rate assumed by the
mid-scenario. Even the lower bound scenario yields a considerable decline of return periods associated with intense heat
waves. Nevertheless, the most severe recent heat waves appear to be typical rather of a late 21st century than a mid-21st
century climate. Copyright  2009 Royal Meteorological Society
KEY WORDS
heat wave; climate variability; regional warming; stochastic modelling; probability estimates; central Europe
Received 29 August 2007; Revised 9 January 2009; Accepted 18 January 2009
1.
Introduction
The area of western and central Europe has recently been
affected by several long-lasting and severe heat waves,
particularly in July–August 2003 and June–July 2006. A
number of studies examined the 2003 heat waves as to
their meteorological causes (e.g. Black et al., 2004; Fink
et al., 2004; Fischer et al., 2007), climatological importance (including possible global warming relationships;
Beniston, 2004; Schär et al., 2004; Schär and Jendritzky,
2004; Stott et al., 2004; Trigo et al., 2005; Chase et al.,
2006), environmental effects (Jolly et al., 2005; Ciais
et al., 2005; Rebetez et al., 2006) and human mortality impacts (Vandentorren et al., 2004; Johnson et al.,
2005; Grize et al., 2005; Filleul et al., 2006), focusing
primarily on western Europe. With an estimated death
toll exceeding 30 000 over Europe, the August 2003 heat
wave was the worst natural disaster in Europe during the
last 50 years (De Bono et al., 2004), yielding a pervasive example of how seriously also high-income countries
like France may be affected by adverse effects of climate
change.
* Correspondence to: Jan Kyselý, Institute of Atmospheric Physics AS
CR, Bočnı́ II 1401, 141 31 Prague, Czech Republic.
E-mail: [email protected]
Copyright  2009 Royal Meteorological Society
Less attention has been devoted to the manifestation
of the 2003 heat waves over central-European countries
(Hutter et al., 2007), partly as the areas of largest positive
temperature anomalies in summer 2003 were centered
over France and Switzerland (Beniston, 2004; Zaitchik
et al., 2006). However, the 2003 heat waves received
much attention from public as well as from mass media
also in central Europe, and they were followed by
another exceptional heat wave in July of 2006, the
warmest month on record in several European countries,
including Germany, Belgium, the Netherlands and the
UK (EC, 2007), and the warmest July in Prague since
the beginning of instrumental measurements (1775). One
reason for the enhanced interest in the warm temperature
extremes stems from a concern that frequency and
severity of such events have increased recently, and that
this trend is likely to continue due to global warming
(Meehl and Tebaldi, 2004).
The issues of climatological perspective and future
likelihoods are timely also owing to the fact that the heat
waves affected various sectors of human activities, with
enormous socio-economic impacts. It is well established
that impacts of extreme events are heavier when extreme
conditions prevail over extended time periods (Rusticucci
and Vargas, 2002; IPCC, 2007a). Heat–stress related
mortality is a frequently examined example of harmful
90
J. KYSELÝ
effects of heat waves, but there are many other fields in
which such events influence (mostly negatively) human
society; for example, the largest power failure in central
Europe since the 1970s appeared during the 2006 heat
waves, having severely affected industrial companies. A
number of economic impacts of the hot summer of 1995
in the UK were summarized by Agnew and Palutikof
(1999).
The present study aims at supplementing current understanding of the recent heat waves in central Europe from
the points of view of their long-term variability and possible future recurrence likelihoods. The primary issues that
we address are (1) whether the recent heat waves were
exceptional, and if so, in what sense; and (2) what are
recurrence probabilities associated with the most severe
heat waves observed in the area in the current and future
climates. For that purpose, heat waves are examined in
data from a dense network of meteorological stations
in the Czech Republic since 1961, to reveal possible
regional details in their variability and to obtain a comparison of the recent events with past occurrences of heat
waves (Section 3). In addition, centennial-scale fluctuations in the frequency and severity of heat waves are
studied using two long-term series of daily air temperature measurements (Section 4). Probabilities associated
with the most severe heat waves are examined by means
of a stochastic time series model (Section 5) including
simulations assuming a warming trend (with a wide range
of possible rates estimated from an ensemble of regional
climate model outputs) towards future.
2.
Data and methods
2.1. Data from a network of meteorological stations
Daily air temperature measurements (maximum, minimum and average daily temperature) are available at 46
stations over 1961–2006 (Figure 1; Table I). The sites
approximately evenly cover the area of the Czech Republic, and there are no missing values in the dataset over the
period of May to September (when heat waves occur).
The only exception is May 2006 in the records of the
Kašperské Hory station; the daily temperatures for this
month have been interpolated from neighbouring locations. This procedure does not introduce inhomogeneity
in heat wave characteristics as heat waves did not occur
in May 2006 at neighbouring (lower elevated) stations.
No significant station displacements (exceeding 50 m in
altitude) occurred since 1961; the only exception was
the Ústı́ nad Orlicı́ station for which the series of daily
temperatures has been homogenized, taking into account
a station move in January 1971, by applying additive
correction factors over 1961–1970 (estimated on the
monthly scale from data at five neighbouring stations).
At two highest elevated stations, Lysá hora Mt.
(1322 m a.s.l.) and Churáňov (1118 m a.s.l.), heat waves
(according to the definition in Section 2.3) do not occur,
so the effective number of sites for the analysis of heat
waves is 44.
2.2. Long-term data at the Prague-Klementinum and
Milešovka Mt. stations
Two other long-term series of daily air temperatures
are examined. The Prague-Klementinum station (197 m
a.s.l.) is the site with the longest uninterrupted series of
daily temperature records in the Czech Republic, dating
back to 1775. Homogeneity of the temperature series has
recently been evaluated by Štěpánek (2005) who found
no significant inhomogeneities in the period after 1840.
The history of measurements is described in more detail,
e.g. in Hlaváč (1937) and Brázdil and Budı́ková (1999).
The series has been frequently employed in studies of
climatic variability (Horová et al., 2003; Kyselý, 2007)
including the analysis of heat waves over 1901–1997
in Kyselý (2002a). Herein, we examine heat waves over
the whole period 1775–2006 although results in the late
18th and early 19th centuries must be interpreted with
caution, due to a possible presence of inhomogeneities in
the daily records before 1840. The issue of an urban heat
island intensification resulting from the development of
the city (the station is located in the historical heavily
built-up center of Prague) was addressed by Brázdil and
Budı́ková (1999) who reported that in summer, the urban
Figure 1. Station network used for the analysis of heat waves over 1961–2006. Two mountain stations at which heat waves did not occur are
labelled in italics. Regions and main orographic features are delineated in the right panel.
Copyright  2009 Royal Meteorological Society
Int. J. Climatol. 30: 89–109 (2010)
DOI: 10.1002/joc
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RECENT SEVERE HEAT WAVES IN CENTRAL EUROPE
Table I. The longest and most severe heat waves and record-breaking daily TMAX at individual stations over 1961–2006.
Region
Station name
Altitude
(m a.s.l.)
Longest heat wave
Most severe heat wave
Highest TMAX
Year
Duration (days)
Year
TS30 (° C)
Day
TMAX (° C)
Northwest
Doksany
Žatec
Liberec
Milešovka
158
201
398
833
2006
2006
1994
2006
33
32
20
12
1994
1994
1994
2006
77.2
62.7
41.6
18.4
13.08.2003
13.08.2003
31.07.1994
20.07.2006
38.3
38.6
36.2
35.0
Southwest
Klatovy
Nepomuk
430
465
28
28
1994
2003
54.3
48.7
27.07.1983
27.07.1983
40.0
39.2
Kralovice
Cheb
Aš
Přimda
468
471
675
742
1976
1976
2003
1994
1994
2003
2003
22
21
14
18
1994
2003
2003
2003
37.1
32.9
20.4
34.3
27.07.1983
27.07.1983
13.08.2003
13.08.2003
37.2
37.0
34.1
36.6
Brandýs n/Labem
Praha-Klementinum
Praha-Karlov
Semčice
179
197
232
234
38.5
37.8
38.5
37.0
Hradec Králové
Praha-Ruzyně
Ondřejov
Central lowland
Central highland Velké Meziřı́čı́
Havlı́čkův Brod
Moravské Budějovice
Přibyslav
Kostelnı́ Myslová
Bystřice n/Pernštejnem
Nedvězı́
Svratouch
22
33
22
23
1994
2006
1994
1994
73.1
49.1
55.6
62.8
278
364
526
1994
2006
1994
1994
2003
1994
1994
1994
23
17
17
1994
1994
1994
74.6
37.1
28.0
27.07.1983
27.07.1983
27.07.1983
31.07.1994
13.08.2003
30.07.1994
13.08.2003
27.07.1983
452
455
457
530
569
573
722
737
1994
1994
1994
1994
1994
1994
1994
1994
19
19
22
19
19
19
13
18
1994
1994
1994
2003
2003
2006
1994
1994
42.3
30.5
53.9
23.3
26.9
28.1
9.8
15.3
27.07.1983
27.07.1983
27.07.1983
27.07.1983
27.07.1983
27.07.1983
27.07.1983
27.07.1983
37.0
36.7
38.0
36.0
37.1
35.1
34.4
33.9
37.8
37.0
37.0
Northeast
Ostrava-Mošnov
Opava
Lučina
Valašské Meziřı́čı́
Vsetı́n
Ústı́ n/Orlicı́
M.Albrechtice-Žáry
Červená
Lysá hora
251
272
300
334
388
399
483
750
1322
1994
1994
1994
1994
1994
1994
1994
1994
–
19
29
19
19
19
19
18
14
–
1994
1994
1994
1994
1994
1994
1994
1994
–
64.5
51.8
42.9
55.4
36.5
37.4
27.5
11.6
–
10.08.1992
29.08.1992
01.08.1994
29.08.1992
11.08.1992
27.07.1983
01.08.1994
30.07.1994
08.08.1992
30.07.1994
36.9
37.1
36.2
36.2
35.9
35.8
34.8
32.6
28.8
South
České Budějovice
Tábor
Nadějkov
Kašperské Hory
Churáňov
388
440
615
737
1118
1994
1994
1994
2003
–
22
22
18
14
–
1994
1994
1994
2003
–
37.8
60.6
18.0
15.2
–
27.07.1983
27.07.1983
27.07.1983
27.07.1983
27.07.1983
37.8
37.3
36.6
36.8
34.2
Southeast
Strážnice
Holešov
176
224
34
23
1994
1994
67.1
63.3
13.08.2003
13.08.2003
37.7
36.5
Olomouc
Staré Město
Brno-Tuřany
Kuchařovice
Stránı́
225
235
241
334
385
1994
1994
2003
1992
1994
1994
1992
1994
37
33
32
25
20
1994
1994
1994
2003
1994
61.9
76.8
67.2
58.2
40.8
13.08.2003
13.08.2003
13.08.2003
13.08.2003
28.08.1992
36.4
37.5
37.0
37.9
35.7
TS30 stands for cumulative TMAX excess above 30 ° C. In all regions, stations are ranked with respect to increasing altitude. If a station was
displaced during 1961–2006, altitude for a longer subperiod is given.
Copyright  2009 Royal Meteorological Society
Int. J. Climatol. 30: 89–109 (2010)
DOI: 10.1002/joc
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warming (estimated to make up 0.01 ° C/10 years) is by
far the least pronounced and insignificant.
Another long-term series of daily temperature measurements available is the one recorded at the Milešovka
Mt. (833 m a.s.l.), a unique mountain station located on
summit of an isolated cone-shaped hill (overtopping the
surrounding terrain by more than 400 m) about 70 km
northwest to Prague (Štekl and Podzimek, 1993). The
series of daily extreme temperatures extends back to
1906; daily observations in the months of May to July
over 1930–1935 have been lost (Huth and Nemešová,
1995), leaving a gap in the time series. Details concerning the history of measurements are given in Brázdil
et al. (1999). Owing to the higher altitude, heat waves
are rather rare events here; within the dense network
described in Section 2.1, it is the highest elevated site
at which heat waves occur. Nevertheless, the data are
very useful as the station is not much affected by human
activities, particularly urbanization effects, and are used
mainly for comparison with the temperature variability
in Prague over the 20th century.
2.3.
Heat waves
The definition of heat waves proposed by Huth et al.
(2000) and employed in recent European studies (Hutter
et al., 2007) as well as the global study of Meehl and
Tebaldi (2004) is made use of. Two thresholds, T1 and T2
are applied: A heat wave is defined as a continuous period
during which (1) TMAX (daily maximum air temperature)
is higher than T1 in at least 3 days; (2) mean TMAX
over the whole period is higher than T1 ; and (3) TMAX
does not drop below T2 . The threshold values were set
to T1 = 30.0 ° C and T2 = 25.0 ° C, in accordance with
a climatological practice which refers to the days with
TMAX reaching or exceeding 30.0 ° C and 25.0 ° C as
tropical and summer days, respectively. (The average
TMAX in July–August 1961–2006 ranges between 20.2
and 25.3 ° C at the 44 stations, and the standard deviation
of daily TMAX in July–August is around 4.6 ° C; at
all stations, T1 exceeds the average by at least one
standard deviation.) The lower threshold T2 corresponds
approximately to the threshold value of TMAX at which
excess mortality appears in the population of the Czech
Republic (Kyselý and Huth, 2004). The definition allows
two periods of extremely hot days separated by a slight
drop of temperature to make up one heat wave but, on
the other hand, two periods of hot days separated by a
pronounced temperature drop (below T2 ) are treated as
separate heat waves.
To characterize heat waves, the duration, the cumulative TMAX excess above 30.0 ° C (TS30), and the peak
temperature are used (the same set of characteristics
was applied in Kyselý, 2002a). The variables measure
various aspects of heat waves; cumulative TMAX excess
TS30 is probably the most appropriate characteristics of
their severity. Mean temperature conditions of a summer
season are expressed by the mean July–August TMAX
Copyright  2009 Royal Meteorological Society
anomaly from the reference 1961–1990 mean. The twomonth period of July–August instead of the more common three-month June–August period is employed since
in July and August, majority of heat wave days occur in
central Europe.
2.4.
Regionalization
To examine temporal fluctuations in heat waves using
the network of 44 sites (and to avoid discussing possible
site-specific features and suppressing important spatial
variations), seven regions consisting of between four and
eight stations each have been delineated. They reflect
spatial differences in geographical characteristics, as well
as mean summer temperature and precipitation (Kyselý,
2006). Note that the area under study is characterized by
a complex orography, with altitudes ranging from below
200 m a.s.l. in large lowlands up to about 1500 m a.s.l. in
four main mountain ranges in the southwest, northwest,
north and northeast; most of the area lies between 200 and
600 m a.s.l. (Figure 1). The central lowland and southeast
regions cover the main agricultural areas where heat
waves (particularly if associated with droughts) may have
largest negative effects on plant development and yields.
Another important feature captured by the regionalization
is that the southern part of the Czech Republic is usually
more affected with heat waves than the northwest and
especially northeast regions, the latter being the coldest
area in summer (if effects related directly to generally
decreasing TMAX with increasing elevation of sites are
eliminated; Kyselý, 2006).
2.5.
Stochastic time series modelling
One way to estimate probabilities of extreme events is to
employ stochastic time series modelling; this approach is
particularly advantageous in studying spells of extremes
for which simpler ‘block maxima’ and/or ‘peaks-overthreshold’ models (Coles, 2001) are not suited (if characteristics other than the frequency and magnitude of
peak exceedances are of interest). A first-order autoregressive [AR(1)] model is applied here to generate long
artificial series of TMAX (from which recurrence probabilities of heat waves are estimated) at two stations, located
in the two main lowland regions: Prague-Klementinum
in the central lowland region, and Brno-Tuřany in the
southeast region. Rather generally, AR(1) models provide
characteristics of heat waves and temperature threshold
exceedances that are in a good agreement with observations in mid-latitude areas (Mearns et al., 1984; Macchiato et al., 1993; Hennessy and Pittock, 1995; Colombo
et al., 1999; Kyselý, 2002b). According to results of a
non-parametric test on the model order based on autoregression rank scores (Hallin et al., 1997; Kalvová et al.,
2000), the AR(1) model is the most suitable one for temperature series in the area under study, and higher-order
AR models are rejected relative to the first order process.
There are two basic approaches to modelling temperature series when only a few months of year are examined;
first, the seasonal cycle is considered a deterministic part
Int. J. Climatol. 30: 89–109 (2010)
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RECENT SEVERE HEAT WAVES IN CENTRAL EUROPE
and only deviations from this cycle are simulated by the
AR(1) model (Macchiato et al., 1993), or the deterministic part is not taken into account at all and the whole
series, one year stuck to another, is treated as if it were
merely a realization of the AR(1) process (Mearns et al.,
1984). Herein, the former, physically more reasonable
method is adopted since the seasonal cycle may play an
important role in both supporting a heat wave development and imposing some limitations on the length of a
heat wave. Another important reason is that we decided
to model the long-term trend as a deterministic part, too
(see below).
The AR(1) model is based on three parameters of TMAX
series, the mean (µ(t)), the variance (σ 2 (t)) and the
first-order autocorrelation coefficient ((t)); t denotes
time since seasonal cycles in all three parameters (and
a long-term trend in the mean) are considered explicitly.
Values of TMAX are determined according to the recursion
formula (Mearns et al., 1984; Macchiato et al., 1993)
TMAX (t) = µ(t) + (t)(TMAX (t − 1) − µ(t − 1)) + ε(t)
The initial value for the series is drawn from normal distribution N (µ(1), σ 2 (1)) for the first day considered in each year, and random variable ε(t) is then
generated for each day from N (µ(t), σε 2 (t)) distribution
where the variance of ε(t) is σε 2 (t) = (1 − 2 (t))σ 2 (t).
Box–Muller random number generator (Press et al.,
1992) is used to obtain independent random variable with
normal distribution. An estimate of (t) is computed
according to Kendall and Stuart (1976)
t+L−1
u(i + 1)u(i)
i=t−L
(t) = t+L−1
t+L−1
2
u (i)
u2 (i + 1)
i=t−L
i=t−L
where u(i) stands for a standardized variable (TMAX (i) −
µ(i))/σ (i) and L is the half-width of the moving window
(set to 30 days here).
Time series of TMAX are generated for months of
May to September. Before the model parameters are
estimated from the observed data (over 1961–2006), the
time series of TMAX were detrended using an average
regional linear trend estimator of mean July–August
TMAX over 1961–2006 (Section 3.1; 0.5 ° C/decade at
both stations); the trend is added up to the artificial time
series as a deterministic part at a final stage. The seasonal
cycle of µ(t) is smoothed using 15-day running means,
and σ (t) and (t) are estimated for moving 61-day
windows (covering 46 years of detrended observed data).
Alternative settings have little influence on properties of
the artificial time series. The model is validated with
respect to the reproduction of basic temperature- and heat
wave characteristics in Section 5.1.
Copyright  2009 Royal Meteorological Society
2.6. Regional climate model (RCM) simulations for
control (1961–1990) and late 21st century climate
Regional climate model outputs available within the
PRUDENCE project (Christensen and Christensen, 2007)
are used to estimate possible late 21st century changes
in mean July–August TMAX and its variance over the
area under study. Basic characteristics of the 10 RCMs
(24 examined scenario runs and 16 control runs) are
given in Christensen and Christensen (2007). The RCMs
have a horizontal resolution of about 50 km; the only
exception is the high-resolution runs of the HIRHAM
model with a 25-km grid. A driving GCM for the RCM
simulations, control ones as well as scenarios, is the
Hadley Centre HadAM3 GCM (Pope et al., 2000); the
RCAO RCM is driven also by the ECHAM4 GCM
(Roeckner et al., 1996), and the ARPEGE model (a
regional model over Europe interactively nested in a
global model) represents a third type of boundary forcing
in addition to the HadAM3 and ECHAM4. The RCMs
are run under SRES-A2 and SRES-B2 emission scenarios
(IPCC, 2001) except for CLM, RACMO, CHRM and
REMO for which only SRES-A2 runs are available. The
A2 (B2) emission scenario leads to a faster (slower)
increase in concentrations of greenhouse gases in the
atmosphere compared to the A1B scenario referred to
in IPCC (2007b) as a baseline, thus representing another
range of uncertainty in possible future changes.
3. Temporal and spatial variability of heat waves
over 1961–2006
3.1. Annual characteristics
Average regional series of heat wave characteristics and
mean summer (July–August) daily maximum temperature (TMAX ) are examined in this section (Figures 2
and 3).
Enhanced heat waves characteristics, in terms of both
cumulative TMAX excess TS30 and annual duration, are
conspicuous since the early 1990s in all seven regions.
A single year with the most severe and longest heat
waves was 1994 except for the southwest region with the
highest values in 2003. In the eastern part of the country
(southeast, northeast and central highland regions), the
1994 heat waves were closely followed in severity by
those of 1992; 2003 and 2006 were the third and fourth
years according to heat wave characteristics in that area.
The 2003 and 2006 heat waves were more severe in the
western part of the Czech Republic.
If values over all 44 stations are averaged (bottom
right panel of Figure 2), 1994 is clearly the year with the
most severe heat waves; their duration and severity were
similar in 1992, 2003 and 2006, and no other season of
comparably enhanced heat wave characteristics appeared
since 1961. Only 2 years (1980 and 1987), heat waves
did not occur at any station.
Similar features of temporal variability are present in
Figure 3 which shows mean July–August TMAX since
1961. In all regions, 1992, 1994 and 2003 were the
Int. J. Climatol. 30: 89–109 (2010)
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Figure 2. Annual heat wave duration (wide columns) and cumulative TMAX excess in heat waves (TS30, narrow columns) in individual
regions over 1961–2006. Averages over all 44 stations are shown in the bottom right panel. This figure is available in colour online at
www.interscience.wiley.com/ijoc
three warmest July–August seasons, with temperature
anomalies relative to 1961–1990 between +3 and +5 ° C.
The 2003 summer was the warmest one in the western
parts of the country while 1992 in the eastern parts. Note
that the 2006 July–August season is not characterized
by a pronounced positive temperature anomaly since
temperatures were not above average in August (cf. also
Figure 4 discussed below).
Linear trend estimates of the mean July–August TMAX
over 1961–2006 are given in Table II; the increasing
trends range from 0.40 to 0.63 ° C per decade, being significant at the 0.05 level in all regions. The trend is
particularly large in the northern parts and relatively less
pronounced in the south region. The mean July–August
temperature has been above the 1961–1990 mean in all
Copyright  2009 Royal Meteorological Society
years since 1988 except for 1996 if averaged over all
stations (bottom right panel of Figure 3), and except for
1–3 years also in all individual regions. The trend magnitudes are large but entirely consistent with increases of
the mean summer TMAX over Europe reported by Klein
Tank and Koennen (2003). Nevertheless, it has to be
realized that linear regression is a very simplified model
reporting only a general tendency; the temporal behaviour
of many characteristics is closer to a step-like change in
the early 1990s (see also Section 6).
3.2.
The longest and most severe heat waves
At a large majority of sites, the longest single heat
wave occurred in July/August 1994 (Table I); its duration
exceeded 1 month in the southeast region, and its distinct
Int. J. Climatol. 30: 89–109 (2010)
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RECENT SEVERE HEAT WAVES IN CENTRAL EUROPE
95
Figure 3. Same as in Figure 2 except for mean July–August TMAX anomaly (relative to 1961–1990). This figure is available in colour online
at www.interscience.wiley.com/ijoc
feature was an extremely long uninterrupted period of
tropical days (more details in Kyselý (2002a, 2002b)).
The heat waves of July/August 2003 and July 2006 were
the longest ones at six and four stations, respectively.
If severity of individual heat waves is measured by
cumulative TMAX excess TS30, the July/August 1994 heat
wave was the most severe one at 33 out of the 44 stations;
the July/August 2003 heat wave at eight stations; and the
July 2006 heat wave at three stations (Table I).
The severe heat waves that occurred in the 1990s
and 2000s were not particularly distinct for extremely
high one-day temperatures. The record-breaking daily
TMAX in the area were observed in July 1983, i.e.
in a year when heat wave characteristics were less
pronounced and heat waves were confined to relatively
short periods. On July 27, 1983, TMAX reached 40 ° C at
a number of locations in the southwestern and central
Copyright  2009 Royal Meteorological Society
parts of the Czech Republic, with a maximum of 40.2 ° C
recorded in a southeast suburb of Prague (Krška and
Munzar, 1984). A peak TMAX during the more recent
heat waves only exceptionally exceeded 38 ° C. The fact
that individual stations’ record-breaking TMAX were not
generally reached during the 2003 and 2006 heat waves
is demonstrated in Table I: at 22 stations, the highest
TMAX observed over 1961–2006 appeared on 27 July
1983; at seven and six stations, the absolute maxima
were recorded in 1994 and 1992, respectively. Recordbreaking TMAX was observed at 12 stations only in 2003
(on August 13), and at one station in 2006. (At two sites,
the highest TMAX was reached in 2 years, so the numbers
do not add up to 46.)
The most distinct feature of the recent occurrences of
heat waves is the persistence of the heat. Relatively frequent cold front passages usually interrupt or terminate
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Figure 4. Course of TMAX and heat waves (plotted bold) at Prague-Klementinum during summers of 1983, 1992, 1994, 2003 and 2006. Horizontal
lines show thresholds applied in the heat wave definition; full (empty) vertical arrows denote passages of strong cold (occluded) fronts.
Table II. Linear trend estimates of mean July–August TMAX over 1961–2006 in individual regions and in the average series over
44 stations.
Region
Trend (° C/10 years)
Northwest
Southwest
Central lowland
Central highland
Northeast
South
Southeast
Average
0.62
0.51
0.50
0.53
0.63
0.40
0.55
0.54
heat waves in central Europe (passages of strong cold and
occluded fronts during five summer seasons discussed
above are denoted by arrows in Figure 4). That was also
the case of summer 1983; although most of the fronts
were weak or moderate in intensity, they interrupted the
hot periods several times (Krška and Munzar, 1984). Cold
fronts were relatively frequent (but mostly decaying over
central Europe) in the summer months of 2003, too, causing a large number of slight coolings (Figure 4); they
were much less frequent in 1992, 1994 and 2006 when
Copyright  2009 Royal Meteorological Society
long periods with high air temperature and low interdiurnal temperature variability were related to persistent highpressure systems influencing central Europe. Remarkable
is the fact that passages of strong cold fronts over Prague
(according to the classification of the Czech Hydrometeorological Institute) were completely absent over the
whole June–August period in 2006, supporting also the
extremely low mean interdiurnal temperature change during this summer season. It should be noted that changes
in the frequency of front passages, which are related to
other features of atmospheric circulation, are mentioned
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RECENT SEVERE HEAT WAVES IN CENTRAL EUROPE
here to illustrate differences between individual summers
and not as one of the mechanisms that contributed to
increases in the heat wave characteristics. The role of persistent circulation patterns on the heat wave development
is discussed in Section 6.
4. Recent heat waves in view of long-term
variability
The analysis of heat waves in the longest available
series, Prague-Klementinum, clearly shows that the recent
period of enhanced heat wave severity and duration
is unprecedented since the beginning of temperature
measurements (1775). The year with the largest overall
duration of heat waves was 2006, followed by 1994, 2003
and 1947. In terms of annual cumulative TMAX excess
TS30, the 1994 heat waves were most severe, followed
by those in 2006, 2003 and 1947 (Figure 5).
In addition to the 1990s and 2000s, other periods
with more frequent heat waves appeared around 1950,
1930 and 1865. (Moderately enhanced heat wave characteristics occur around 1805, too, i.e. in the period
with less reliable data. Since the direction of the possible inhomogeneity, located to 1837 by homogeneity tests (Štěpánek, 2005), points to too high temperatures before 1837, summer TMAX as well as heat wave
characteristics would be lower after the suggested correction is applied to data before 1837.) Similar features of long-term variability are manifested for mean
July–August temperature anomalies (bottom panel in
Figure 5), namely the quasi-oscillatory behaviour with
a period of around 60–70 years and an increasing
magnitude of the peaks in the 20th century. Spectral density functions of detrended series are dominated by low-frequency variability; enhanced variability
97
between 50 and 100 years appears in the periodograms
of both TS30 and mean July–August temperature
(Figure 6).
The maxima around 2000 and 1950 coincide with
maxima of the Atlantic Multidecadal Oscillation index
(discussed in Section 6; Enfield et al., 2001; Sutton and
Hodson, 2005); the warming observed since the late 19th
century in Europe, interrupted with a period of cooling
in the 1950s to 1970s, likely contributed to the fact that
the peaks in the 20th century had a larger magnitude. The
recent period is particularly notable owing to pronounced
positive anomalies persisting since the late 1980s: after
1987, negative deviations relative to 1961–1990 occurred
in 1 year only.
The heat wave lasting from 1 July to 2 August
2006 (33 consecutive days) was the longest heat wave
ever recorded at Prague-Klementinum; only two other
heat waves since 1775 persisted more than 3 weeks, in
1992 (26 days) and 1994 (22 days; Kyselý, 2002a). The
July 2006 heat wave was also the one with the largest
cumulative TMAX excess TS30 and the number of tropical
days (Table III); on the other hand, peak temperature was
not extraordinarily high.
The July 2006 heat wave was the longest and most
severe at the Milešovka Mt. since 1906, too (Figure 7).
The overall warming (in terms of mean July–August
TMAX ) during the 20th century is even stronger at the
Milešovka Mt., which confirms that the urban heat island
development does not severely influence summer TMAX in
Prague. This is in accord with the conclusions of Brázdil
and Budı́ková (1999) concerning the insignificant role
of the heat island intensification on summer temperature
trends in Prague (see Section 2.2), and strengthens credibility of findings concerning centennial-scale variability
of heat waves.
Figure 5. Annual heat wave duration (left), cumulative TMAX excess in heat waves (TS30, right) and mean July–August TMAX anomaly (relative
to 1961–1990, bottom) at Prague-Klementinum over 1775–2006. The smoothed curves were obtained by applying 9-year Gaussian filter.
Copyright  2009 Royal Meteorological Society
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Figure 6. Periodograms and spectral densities of detrended series of annual cumulative TMAX excesses in heat waves (TS30, left) and mean
July–August TMAX anomaly (right) at Prague-Klementinum over 1775–2006. 5-point Tukey–Hamming filter was used to calculate spectral
density.
Table III. Ten most severe heat waves at Prague-Klementinum
over 1775–2006 (according to cumulative TMAX excess TS30).
Year
Start day
End day
2006
1994
1957
1992
1921
1892
2003
1868
1952
1952
July 1
July 21
June 28
July 16
July 23
August 14
July 30
August 6
July 31
June 28
August 2
August 11
July 10
August 10
August 12
August 25
August 14
August 18
August 16
July 15
Duration No. of Peak TS30
(days) tropical TMAX (° C)
(° C)
days
33
22
13
26
21
12
16
13
17
18
21
16
8
12
11
11
11
10
10
8
35.3
36.0
37.6
35.8
34.7
35.9
36.8
34.5
35.5
35.6
49.1
47.6
34.2
33.3
31.4
28.4
26.8
24.8
21.9
20.3
The heat waves are listed in descending order of severity.
5. Probabilities of recurrence of severe heat waves
in present and future climates
5.1. Evaluation of heat wave characteristics in TMAX
series simulated by the AR(1) model for the 1961–2006
period
The AR(1) model (Section 2.5) is used to generate
100 000 artificial time series of TMAX (corresponding to
Copyright  2009 Royal Meteorological Society
months of May to September and the 1961–2006 period)
at two stations, Prague-Klementinum and Brno, taking
explicitly into account the long-term increasing trend in
mean TMAX and the seasonal cycles of mean, variance
and the first-order autocorrelation coefficient of TMAX .
Before probabilities of extreme heat waves are estimated,
the model is validated with respect to the reproduction of
basic temperature- and heat wave characteristics.
Average, median, and the 5% and 95% quantiles of
the distributions of mean annual heat wave- and TMAX
characteristics over the 100 000 artificial time series
are shown in Table IV. The model reproduces all heat
wave properties (frequency, annual duration, cumulative
TMAX excess TS30, location in a year) at both stations;
the observed values lie within the 90% bounds of the
simulated distributions. If average/median is concerned,
the AR(1) model tends to underestimate mean annual
frequency and duration of heat waves, and the mean
annual number of tropical days; mean annual TS30 is
modelled in good agreement with observations since
simulated heat waves tend to peak at slightly higher
temperatures (this concerns mainly Prague).
The AR(1) model intrinsically captures three basic
characteristics of TMAX (mean, variance and the firstorder autocorrelation coefficient). Regarding variance, the
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Figure 7. Same as in Figure 5 except for Milešovka Mt. over 1906–2006. Data over 1930–1935 are missing.
Table IV. Comparison of mean annual heat wave- and temperature characteristics over 1961–2006 in observed data and in
100 000 simulations with the AR(1) model corresponding to the same 46-year period.
a. Prague
Observed
AR(1), 5%
AR(1), average
AR(1), median
AR(1), 95%
Frequency
of heat
waves
Duration of
heat waves
(days)
Number of
days with
TMAX ≥ T1
Cumulative
TMAX
excess TS30
(° C)
Mean interannual variability
of July–August
TMAX (° C)
Mean interdiurnal
TMAX variability
in July–August (° C)
1.33
0.85
1.10
1.11
1.37
10.7
7.1
9.5
9.4
12.1
10.0
7.5
8.9
8.9
10.4
13.0
9.2
13.0
12.9
17.3
1.48
1.01
1.33
1.31
1.68
2.48
2.49
2.57
2.57
2.64
Frequency
of heat
waves
Duration of
heat waves
(days)
Number of
days with
TMAX ≥ T1
Cumulative
TMAX
excess TS30
(° C)
Mean interannual variability
of July–August
TMAX (° C)
Mean interdiurnal
TMAX variability
in July–August (° C)
1.30
0.87
1.11
1.11
1.37
10.3
7.2
9.6
9.6
12.2
9.3
7.7
9.1
9.1
10.5
11.8
9.5
13.3
13.2
17.4
1.47
1.01
1.33
1.32
1.67
2.48
2.54
2.62
2.62
2.70
b. Brno
Observed
AR(1), 5%
AR(1), average
AR(1), median
AR(1), 95%
Average value, median and the 5% and 95% quantiles of the distribution over 100 000 simulations are shown for the artificial samples. Details
on the AR(1) model are given in Section 2.5.
overall value is reproduced well but the model underestimates the interannual variability and overestimates
the intraseasonal variability (the last two columns in
Table IV), which is a typical feature of temperature series
obtained by autoregressive models (Madden and Shea,
1978; Johnson et al., 1996; Hansen and Mavromatis,
2001; Mavromatis and Hansen, 2001). The interdiurnal
TMAX variability is the only temperature characteristic
that falls outside the 90% bounds of the simulated values
Copyright  2009 Royal Meteorological Society
in the observed data. However, the AR(1) model with a
long-term trend, modelled explicitly, partly rectifies the
ratio of the interannual/interdiurnal TMAX variability compared to an AR(1) model without a trend.
The model reproduces also basic features of the distributions of lengths and cumulative TMAX excesses TS30
of individual heat waves (Figure 8; model’s curves were
determined from 100 000 realizations of a 46-year period
and are therefore smooth compared to observations). The
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Figure 8. Comparison of AR(1)-simulated and observed heat waves at Prague-Klementinum over 1961–2006. Left: distributions according to
the length (top) and cumulative TMAX excess TS30 (bottom). Right: cumulative frequencies of heat waves longer than x days (top) and with
TS30 exceeding x ° C (bottom).
Table V. Frequencies of short, medium-length and long heat
waves in observed data over 1961–2006 and in 100 000
simulations with the AR(1) model corresponding to the same
46-year period.
Length of heat waves
3–7 days
8–10 days
>10 days
Prague
observed
AR(1)
82.6
57.1
26.1
26.1
23.9
27.0
Brno
observed
AR(1)
87.0
57.8
19.6
26.2
23.9
27.5
Frequencies of occurrence per 100 years are given.
fact that heat waves lasting about 5 and 6 days are most
frequent is captured; frequencies of short heat waves
(3 to 7 days) are underestimated (Table V), which is
related to a too large interdiurnal TMAX variability (discussed above) and leads to an overall slight underestimation of heat wave occurrence. Frequencies of mediumlength heat waves (8–10 days) and long heat waves
(>10 days) are simulated in good agreement with observations in Prague and they are slightly overestimated in
Brno (Table V). The ability of the AR(1) model to capture even very long heat waves is demonstrated by the
fact that the model’s most extreme heat waves in the simulations based on current climate considerably exceed in
lengths the record-breaking observed heat waves. Analogous results hold true also for the distribution of TS30
in individual heat waves (Figure 8 bottom); the AR(1)
Copyright  2009 Royal Meteorological Society
model underestimates frequencies of heat waves of low
severity. The occurrence of severe heat waves is captured in a good agreement with observations; four heat
waves in which TS30 exceeded 25.0 ° C were observed at
both stations over the 46 years, and their mean frequency
over the simulated 46-year periods is 4.3 (4.5) in Prague
(Brno).
5.2. Scenarios of summer temperature changes during
the 21st century
Ensemble of 40 RCM simulations (24 scenarios and 16
control runs; Section 2.6) was employed to estimate the
possible late 21st century increase in mean July–August
TMAX with respect to the reference 1961–1990 period.
The values were obtained as averages over gridboxes
in the area; the spatial variability of the projected
increase is relatively small (Figure 9 for two outputs
of the HIRHAM model under SRES-A2 and SRESB2 scenarios, and two RCMs with the largest and the
smallest rise of summer TMAX over central Europe) but
the models substantially differ in the magnitude of the
projected change (Table VI).
According to the SRES-A2 scenario, the mean July–
August TMAX change between 2071–2100 and 1961–
1990 is 5.7 ° C (averaged over the RCM runs), with the
range from 3.3 to 9.4 ° C (Table VI). The SRES-B2 scenario yields a smaller increase of 4.2 ° C (on average),
ranging from 2.9 ° C to 6.0 ° C. In fact, an increase of
around 1.5 ° C relative to the mean over 1961–1990 has
already happened (the trend being close to 0.5 ° C per
decade in the examined area, Section 3.1). The magnitude
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Figure 9. Spatial patterns of projected changes in mean July–August TMAX between the late 21st century scenarios and control climate
(1961–1990) in two runs of the HIRHAM RCM (top) and two RCMs with the largest and the smallest increase over central Europe (bottom).
A2/B2 stands for the SRES emission scenarios. This figure is available in colour online at www.interscience.wiley.com/ijoc
Table VI. Projected changes in mean July–August TMAX (mean) and the variance of daily TMAX in July–August (var) between
the late 21st century scenarios and control climate (1961–1990) in individual model runs, averaged over all gridboxes in the
examined area.
RCM, SRES-A2 scenarios
mean (° C)
var (%)
RCM, SRES-B2 scenarios
mean (° C)
var (%)
HadRM # 1
HadRM # 2
HadRM # 3
HIRHAM # 1
HIRHAM # 2
HIRHAM # 3
HIRHAM, high-resolution
CHRM
PROMES
RCAO (ECHAM)
RCAO
ARPEGE
CLM
RegCM
RACMO
REMO
7.4
7.6
8.0
5.1
5.2
5.1
4.8
4.8
5.4
9.4
6.2
5.6
4.4
5.0
4.6
3.3
8.1
20.4
10.8
20.6
−7.7
36.9
7.7
15.4
16.3
41.7
42.6
95.6
9.3
22.5
31.1
−6.3
HadRM
HIRHAM
PROMES
RCAO (ECHAM)
RCAO
ARPEGE
ARPEGE (ARPEGE/OPA)
RegCM
6.0
3.2
4.8
5.6
4.6
3.2
2.9
3.4
18.8
4.2
16.2
19.2
28.1
40.5
16.4
7.3
Average (SRES-A2)
5.7
22.8
Average (SRES-B2)
4.2
18.8
# denotes
ensemble member. A driving GCM is given in parentheses if different from the HadAM/HadCM model.
of the summer TMAX change in central Europe is relatively large in the RCM outputs compared to the global
mean projected warming (IPCC, 2007b), but the average
scenario for the late 21st century (warming close to 5 ° C
Copyright  2009 Royal Meteorological Society
relative to 1961–1990) is entirely consistent with the
trend estimated over 1961–2006 if extrapolated towards
future. The projected increase is coupled to summer
drying over western, central and southern Europe (Pal
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et al., 2004; Hagemann et al., 2004; Rowell and Jones,
2006; Zaitchik et al., 2006), manifestations of which have
already been observed over the recent decades (Trnka
et al., 2008). (Note that low soil moisture has also been
demonstrated to play an important role in the 2003 European heat wave; Black et al., 2004; Fink et al., 2004;
Fischer et al., 2007).
Estimates of return periods associated with extreme
heat waves in a future climate are based on 100 000
realizations of artificial TMAX series covering the period
1961–2100, generated by the AR(1) model under three
assumptions that differ in the rate of the warming and
the magnitude of the mean July–August TMAX change in
2071–2100 relative to 1961–1990:
(A) Warming of 0.5 ° C/decade (mid-estimate, taking into
account both emission scenarios and all RCMs);
(B) Warming of 0.2 ° C/decade (represents lower bound
of the uncertainty range based on RCM simulations
and the SRES-A2 and B2 scenarios);
(C) Warming of 0.9 ° C/decade (upper bound).
The assumed magnitudes of warming capture a large
range of possible future climate developments; since the
mid-estimate coincides with the observed trend since
1961, the lower (upper) assumption means that the trend
will become weaker (stronger) during the 21st century.
We consider year 2007 (which is a somewhat arbitrary
choice, making the interpretation of results easier due to
a clear separation of ‘present’/observed (1961–2006) and
future climates) as the starting point of the trend change
in experiments B and C; no trend change is involved
in experiment A. Constantly increasing linear trends
over 2007–2100 are assumed in the simulations. Under
these assumptions, the mean summer TMAX increase
makes up 5.5 ° C (3.1 ° C, 8.7 ° C) in 2071–2100 relative
to 1961–1990 in experiment A (B, C).
Variance of daily temperatures and the first-order autocorrelation coefficients are kept unchanged in experiments A, B and C. However, since global warming
is expected to be supplemented by a rise in interannual variability of summer temperatures over large parts
of Europe (Schär et al., 2004; Klein Tank et al., 2005;
Scherrer et al., 2005; Della-Marta et al., 2007b), which
is driven by a decline in spring and summer precipitation and a strong land-atmosphere coupling (Seneviratne
et al., 2006; Fischer et al., 2007), a variance increase of
2.5%/decade is assumed over 2007–2100 together with
the mid-scenario of warming of 0.5 ° C/decade in another
experiment A-var. The variance increase is achieved by
adding a seasonal temperature anomaly, drawn from a
normal distribution with rising variance over time (on the
interannual scale), to all values in the particular realization of a given year [generated by the AR(1) model]. This
assumption leads to a rise in summer temperature variance of about 21.5% in 2071–2100 relative to present
climate, a value that is in good agreement with mean
of the current RCM projections in the area (Table VI),
Copyright  2009 Royal Meteorological Society
and quite conservative compared to some modelling studies that predict up to 100% increase in the variance of
summer temperatures over central Europe by 2071–2100
(Schär et al., 2004; Weisheimer and Palmer, 2005).
5.3. Return periods associated with severe heat waves
in future climate
Although it is obvious that heat waves become longer and
more frequent in a warmer climate, quantitative estimates
may be useful in some applications, and they illustrate
effects of the changes in mean and variance of summer
temperatures on extremes. Distributions of lengths and
cumulative TMAX excesses (TS30) in heat waves are
evaluated for two future time slices: 2031–2060 (‘mid21st century’) and 2071–2100 (‘late 21st century’).
5.3.1. Scenario A (warming of 0.5 ° C/decade)
Sharp increases in probabilities of long and severe heat
waves appear in the future time slices (Figure 10 top;
Table VII). Heat waves with the duration and severity
comparable to or exceeding those of the record-breaking
heat waves observed over 1961–2006 become quite frequent: in Prague, heat waves lasting at least 33 days (the
length of the 2006 heat wave) occur with a mean annual
frequency of 0.12 (0.54) in 2031–2060 (2071–2100),
and heat waves with TS30 exceeding 49 ° C have a
mean annual frequency of 0.27 (0.92) in 2031–2060
(2071–2100). Analogous findings hold true for the Brno
station and heat waves reaching or exceeding the most
severe and longest heat wave (observed in 1994): heat
waves lasting at least 32 days occur with a mean annual
frequency of 0.14 (0.58) in 2031–2060 (2071–2100),
and heat waves with TS30 exceeding 67 ° C have a
mean annual frequency of 0.13 (0.62) in 2031–2060
(2071–2100). Nevertheless, it also appears that according to the mid-scenario A, heat waves with a severity and
duration comparable to 2006 (Prague) and 1994 (Brno)
may be expected once in around 4–8 years in the mid21st century, and not on a regular (annual) basis. Even
at the end of the 21st century, there are likely to be summer seasons with heat waves less severe than in 2006
and 1994.
Temporal changes in probabilities of severe heat waves
over 1961–2100, based on the AR(1) model simulations, are shown in Figure 11; frequencies of events
reaching or exceeding the record-breaking heat waves
(over 1961–2006) are examined. The expected annual
frequency of a heat wave lasting at least 33 days in
Prague (32 days in Brno) was 0.0081 (0.0116) in 2006,
corresponding to the return period of 123 (86) years.
The return period associated with such events sharply
increases towards more distant past; in 1980, it is estimated to be 1700 (900) years, so the probability has
already increased by an order of magnitude over the
recent 25 years. Although the model incorporates a number of simplified assumptions, the change clearly illustrates that estimates of return periods of the recent heat
waves would be severely biased (overestimated) if based
on the assumption of a stationary climate.
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103
Figure 10. Cumulative frequencies of heat waves longer than x days (left) and with TS30 exceeding x ° C (right) at Prague-Klementinum in
observed data (1961–2006) and simulations with the AR(1) model for time periods 1961–2006, 2031–2060 and 2071–2100, for scenarios
A (warming rate 0.5 ° C/decade), B (warming rate 0.2 ° C/decade), C (warming rate 0.9 ° C/decade) and A-var (warming rate 0.5 ° C/decade and
variance increase 2.5%/decade). The longest and most severe heat waves observed over 1961–2006 are marked by vertical bars. The range of
y-axis is kept constant in all graphs. This figure is available in colour online at www.interscience.wiley.com/ijoc
From the present onwards, probabilities of long and
severe heat waves rise at an increasing rate (Figure 11):
the return period of the longest observed heat waves
declines by a factor of 2 in 2016 (compared to 2006),
and by a factor of 10 around 2040 at both stations.
Around 2070, heat waves with the duration comparable
Copyright  2009 Royal Meteorological Society
to or exceeding the lengths of the recent record-breaking
events should be expected to occur once in about 3 years,
and after 2090 in 2 out of 3 years. Similar changes appear
also for the return periods of the most severe heat waves
according to TS30, which decrease by a factor of 2 (10)
around 2016–2018 (2040–2050).
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Table VII. Mean annual frequencies of heat waves reaching or exceeding the length and severity of the record-breaking heat
waves over 1961–2006, simulated by the AR(1) model under various scenarios of future summer temperature change.
Scenario
Trend in mean
summer TMAX
Trend in
variance of
summer TMAX
Time slice
A
+0.5 ° C/decade
–
B
+0.2 ° C/decade
C
+0.9 ° C/decade
A-var
Prague
Brno
Length ≥33 days
TS30 ≥49 ° C
Length ≥32 days
TS30 ≥67 ° C
2031–2060
2071–2100
0.12
0.54
0.27
0.92
0.14
0.58
0.13
0.62
–
2031–2060
2071–2100
0.03
0.07
0.08
0.18
0.03
0.09
0.03
0.08
–
2031–2060
2071–2100
0.44
1.24
0.77
1.67
0.48
1.26
0.49
1.42
+0.5 ° C/decade +2.5%/decade 2031–2060
2071–2100
0.19
0.58
0.36
0.90
0.21
0.61
0.20
0.66
Figure 11. Temporal changes in cumulative frequencies of heat waves reaching or exceeding the record-breaking heat waves observed over
1961–2006 at Prague-Klementinum (left) and Brno (right) in simulations with the AR(1) model under scenarios A, B, C and A-var. This figure
is available in colour online at www.interscience.wiley.com/ijoc
5.3.2. Scenario B (warming of 0.2 ° C/decade)
5.3.3. Scenario C (warming of 0.9 ° C/decade)
An increase in the frequency and severity of heat waves
is conspicuously smaller than in scenario A (Figures 10
and 11; Table VII). In Prague, heat waves lasting at least
33 days (the length of the 2006 heat wave) occur with
a mean annual frequency of 0.03 (0.07) in 2031–2060
(2071–2100), and heat waves with TS30 exceeding
49 ° C have a mean annual frequency of 0.08 (0.18)
in 2031–2060 (2071–2100). Similar figures hold true
for future probabilities of the most severe heat wave
in Brno. According to the lower bound scenario, the
record-breaking recent events remain rare in the mid-21st
century, and even in 2071–2100, their mean recurrence
intervals are between 5 and 15 years.
Huge differences between future probabilities of severe
heat waves in simulations based on the upper bound and
lower bound scenarios (Figures 10 and 11; Table VII)
reflect large uncertainties in the magnitude of future
summer warming projected by current RCMs. In scenario C, heat waves lasting at least 33 days occur in
Prague with a mean annual frequency of 0.44 (1.24)
in 2031–2060 (2071–2100), and heat waves with TS30
exceeding 49 ° C have a mean annual frequency of 0.77
(1.67) in 2031–2060 (2071–2100). This means that the
frequency of such events is by an order of magnitude higher than that in the lower bound scenario B.
Analogous results are obtained for heat waves in Brno
(Table VII).
Copyright  2009 Royal Meteorological Society
Int. J. Climatol. 30: 89–109 (2010)
DOI: 10.1002/joc
105
RECENT SEVERE HEAT WAVES IN CENTRAL EUROPE
5.3.4. Scenario A-var (warming of 0.5 ° C/decade and
variance increase of 2.5%/decade)
If increasing trend in the variance of summer temperature
is incorporated, frequencies of severe heat waves increase
faster compared to the mid-scenario A (with variance
kept constant), mainly during the first part of the 21st
century (Figures 10 and 11, Table VII). In Prague, heat
waves lasting at least 33 days occur with a mean annual
frequency of 0.19 (0.58) in 2031–2060 (2071–2100),
and heat waves with TS30 exceeding 49 ° C have a
mean annual frequency of 0.36 (0.90) in 2031–2060
(2071–2100). Hence probabilities of such events are by
33–57% greater relative to scenario A in the mid-21st
century time slice, but they become comparable in both
scenarios in the late 21st century. The decreasing role
of enhanced summer temperature variability towards the
end of the 21st century (also Figure 11) is due to the fact
that the severe heat waves (according to present climate)
become quite usual in the second half of the 21st century,
notwithstanding the variance changes, and if the variance
increase is superimposed to the warming trend, relatively
cold summers without severe heat waves tend to occur
more often. On the other hand, rising variance clearly
supports the development of heat waves with extremely
enhanced duration and TS30: in the 2071–2100 time
slice, heat waves covering at least 3 months occur once
in 300 years in simulations based on scenario A while
once in 20 years according to scenario A-var.
6.
Discussion and concluding remarks
6.1. Temporal and spatial variability of heat waves
Using data from a network of meteorological stations
covering the area of the Czech Republic over 1961–2006,
it is shown that 1994 was the year with the most
severe and longest heat waves, and the 1994 heat waves
were overtaken by those of 2003 only in the southwest
region. The other two seasons with enhanced heat wave
characteristics were 1992 (mainly in the eastern part of
the country) and 2006 (in the western part, including
central lowland region surrounding Prague). According
to long-term temperature series at Prague-Klementinum,
2006 was the year with the largest overall duration
of heat waves since 1775, followed by 1994, 2003
and 1947; the severity of heat waves measured by
cumulative temperature excess was highest in 1994. The
July 2006 heat wave, lasting 33 days, was the longest
and most severe individual heat wave in Prague since
1775. Data from the Milešovka Mt. station over the
20th century confirm the finding concerning the 2006
heat wave and suggest that the enhanced heat wave
characteristics at Prague-Klementinum in the 1990s and
2000s are unlikely to be associated with an urban heat
island development. However, the regional differences
in the temporal variability of heat waves in the station
network in spite of a relatively small area point to the
fact that conclusions concerning temporal variability of
Copyright  2009 Royal Meteorological Society
heat waves based on data from a single station may not
be representative for a wider area.
The recent increase in heat wave characteristics in central Europe appears to be related to several mechanisms
in addition to the ‘global warming’ (IPCC, 2007b); they
include long-term variability associated with the Atlantic
Multidecadal Oscillation (Sutton and Hodson, 2005) and
possibly other modes of climate variability; changes in
the frequency and persistence of circulation patterns conducive to heat waves in central Europe (Kyselý and
Domonkos, 2006); and changes towards increased variance of summer temperature (Della-Marta et al., 2007b).
The roles of individual factors are difficult to be differentiated; some aspects are discussed below. Since all these
mechanisms likely supported the occurrence of hot summers in Europe in the 1990s and 2000s, the increase in
some heat wave characteristics was manifested rather as a
step-like change in the early 1990s than a gradual upward
trend.
6.2. Recent heat waves and persistent circulation
patterns
The main specific feature of the recent heat waves
compared to past events was not the peak temperature
reached but the persistence of the heat, related to highpressure systems influencing large parts of Europe for
prolonged time periods. The importance of persistent
anticyclonic conditions for the development of the 2003
heat wave over Europe was shown by Black et al. (2004)
and Luterbacher et al. (2004), and for the 1992 and
1994 heat waves in Prague by Kyselý (2002a). Enhanced
persistence of summer heat waves over western Europe
(doubled length since 1880) was documented by DellaMarta et al. (2007b). Since increases in residence times
of circulation types over Europe and in the frequency
of circulation patterns that exhibit higher persistence
were reported recently (Werner et al., 2000; Kyselý
and Domonkos, 2006; Beniston and Goyette, 2007),
the rising trends in warm temperature extremes over
Europe (Klein Tank and Koennen, 2003; Moberg et al.,
2006; Della-Marta et al., 2007b) may partly be linked
to the higher persistence of atmospheric circulation.
Figure 12 suggests that an upward trend in the frequency
of the Hess-Brezowsky circulation types (described in
Gerstengarbe et al., 1999) conducive to heat waves in
central Europe, observed over the 20th century, has likely
contributed to the increases in heat wave characteristics;
enhanced persistence of the types since the late 1980s
is another factor playing a role since air temperature
anomalies tend to increase with the duration of most types
that support the development of heat waves (Kyselý,
2008).
6.3. Anthropogenic versus natural forcings on summer
temperatures and heat waves in Europe
The recently observed changes in mean summer temperatures and heat waves appear to be at least partly due to
human activities; a detectable anthropogenic influence on
the frequency of extremely warm events over Europe was
Int. J. Climatol. 30: 89–109 (2010)
DOI: 10.1002/joc
106
J. KYSELÝ
Figure 12. Changes in the relative frequency and mean residence times of the Hess–Brezowsky circulation types conducive to heat waves in
central Europe (central-European high, south and east types) in summer seasons (JJA) over 1881–2006. 9-year running means are shown.
demonstrated by Stott et al. (2004). However, it should
be also pointed to the role of natural climatic variability,
as long-term fluctuations of European summer temperatures are likely related to an SST mode with a monopole
structure over the North Atlantic called the Atlantic Multidecadal Oscillation (AMO; Sutton and Hodson, 2005;
Della-Marta et al., 2007a). The AMO is probably associated with the North Atlantic thermohaline circulation
(Knight et al., 2005). During the 20th century, the AMO
index reached its maxima in the 1940s/1950s and the late
1990s while minima in the 1910s and the 1970s (Enfield
et al., 2001), corresponding almost perfectly to periods of
increased (maxima) and decreased (minima) heat wave
severity in Prague. The AMO index was found to be a
possible predictor of the frequency of heat waves over
western Europe at the decadal time scale (Della-Marta
et al., 2007a). Since the AMO may weaken in the next
50 years (Knight et al., 2005), the AMO-related summer
cooling may partially offset the rise in the severity of heat
waves expected from anthropogenic influences, and the
lower bound scenario of future summer warming may be
the more realistic one over the next few decades.
Other studies attribute a substantial part of the warming
over the first half of the 20th century to solar and volcanic
forcings while the increase in temperatures during the
second half of the 20th century is largely attributable to
anthropogenic influences (Stott et al., 2004; Klein Tank
et al., 2005; IPCC, 2007b). The extent to which the AMO
sharpens summer heat wave severity over Europe (as well
as the possible physical mechanisms of the link) remains
unclear.
6.4. Stochastic modelling of heat wave probabilities
A first-order autoregressive [AR(1)] model with a deterministic component that incorporates explicitly the seasonal cycle and the long-term trend was employed to
generate artificial series of TMAX from which probabilities of long and severe heat waves were estimated.
The stochastic model was found capable of reproducing basic characteristics of heat waves in present climate
Copyright  2009 Royal Meteorological Society
(1961–2006), and was subsequently run under several
assumptions reflecting various rates of summer warming
towards future (2007–2100), estimated from an ensemble
of RCM outputs. Under the mid-scenario, which assumes
an unchanged rate of warming during the 21st century as
the one estimated over 1961–2006 (0.5 ° C/decade), probabilities of long and severe heat waves sharply increase.
However, heat waves with a severity and duration comparable to the record-breaking ones in 2006 and 1994
do not become common events before the late 21st century, as they may be expected to occur once in around
4–8 years in the mid-21st century, and even at the end
of the 21st century there are likely to be summer seasons
with heat waves not that severe as in 2006 and 1994. The
estimated future frequencies of severe heat waves differ
by an order of magnitude between the upper bound and
lower bound scenarios, which reflects large uncertainties in future summer warming projections over central
Europe.
According to the AR(1) model simulations, the return
period of a heat wave reaching or exceeding the length
of the 2006 heat wave in Prague is estimated to be
around 120 years in 2006. Owing to an increase in mean
summer temperatures, probabilities of the very long heat
waves have already risen by an order of magnitude over
the recent 25 years, and they are likely to increase by
another order of magnitude by around 2040 under the
summer warming rate assumed by the mid-scenario. Even
the lower bound scenario, which counts on a decline
in the rate of warming over the 21st century compared
to the recently observed one (assuming a mean summer
temperature increase of 0.2 ° C/decade over 2007–2100),
yields a considerable decline of return periods associated
with the long and most severe heat waves.
6.5. Effects of the possible increase in summer
temperature variance due to summer drying and
land–atmosphere coupling on heat waves
If a moderate increase in the variance of summer temperature, which has been observed over western and central
Int. J. Climatol. 30: 89–109 (2010)
DOI: 10.1002/joc
RECENT SEVERE HEAT WAVES IN CENTRAL EUROPE
Europe in the recent decades and appears to be a likely
future scenario according to climate model simulations,
is taken into account in addition to the mid-scenario
of the warming over the 21st century, the return periods of the record-breaking heat waves shorten to around
3–5 years in the middle of the 21st century, and increasing variance clearly supports heat waves with extremely
enhanced characteristics (relative to the same warming
rate with constant variance). It should be pointed out that
central Europe is a region where the summer drying and
feedbacks between the land surface and the atmosphere,
leading to an increase in the interannual temperature
variability, may play a particularly pronounced role in
a future climate (Seneviratne et al., 2006), and where
the observed increases in the variance of summer temperature were largest (Della-Marta et al., 2007b). Such
possible future changes in variance would lead to greatly
amplified changes in extremes (Katz and Brown, 1992;
Della-Marta et al., 2007b).
6.6. Limitations of the stochastic model
The main statistical drawback of the AR(1) model
adopted for the simulation of daily temperature series
in the present and possible future climates is related to
the reproduction of the ratio between interannual and
intraseasonal temperature variability, which is, however,
unlikely to severely bias the results, as all other basic
temperature- and heat wave characteristics are captured
in a close agreement with observations in the present
climate simulations. Other limitations stem from the simplified assumptions adopted in the scenarios (e.g. constant
rates of warming during the 21st century, no long-term
changes in autocorrelations of daily temperature) and
large uncertainties associated mainly with the magnitude
of the change in variance of summer temperatures. Future
studies should refine the climate change scenarios and
rectify some of the drawbacks, but the conclusion that
the longest and most severe heat waves observed recently
appear to be typical rather of a late 21st century than a
mid-21st century climate will likely remain unchanged.
A similar approach based on simulations with a
stochastic time series model (with a seasonal cycle and
long-term trend or variability modelled explicitly) may
be a useful tool in estimating probabilities of heat waves
and related extremes in other regions and under various
possible future climate developments.
Acknowledgements
The author is indebted to several persons for helping
with the paper: particularly to R.Beranová, Institute of
Atmospheric Physics, Prague, for preparing and analyzing RCM outputs and drawing Figure 9; I.Nemešová,
Institute of Atmospheric Physics, Prague, for comments
on an earlier version of the manuscript; J.Picek, Technical University Liberec, for testing the order of the AR
model; E.Plavcová, Faculty of Mathematics and Physics,
Charles University, Prague, for preparing database of passages of atmospheric fronts; and P.Skalák and the staff
Copyright  2009 Royal Meteorological Society
107
of the Czech Hydrometeorological Institute, Prague, for
preparing observed temperature datasets. The study was
supported by the Czech Science Foundation under project
205/07/J044.
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