<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing with OASIS Tables v3.0 20080202//EN" "journalpub-oasis3.dtd">
<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:oasis="http://docs.oasis-open.org/ns/oasis-exchange/table" dtd-version="3.0"><?xmltex \makeatother\@nolinetrue\makeatletter?>
  <front>
    <journal-meta>
<journal-id journal-id-type="publisher">ACP</journal-id>
<journal-title-group>
<journal-title>Atmospheric Chemistry and Physics</journal-title>
<abbrev-journal-title abbrev-type="publisher">ACP</abbrev-journal-title>
<abbrev-journal-title abbrev-type="nlm-ta">Atmos. Chem. Phys.</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">1680-7324</issn>
<publisher><publisher-name>Copernicus Publications</publisher-name>
<publisher-loc>Göttingen, Germany</publisher-loc>
</publisher>
</journal-meta>

    <article-meta>
      <article-id pub-id-type="doi">10.5194/acp-17-1313-2017</article-id><title-group><article-title>Time-varying changes in the simulated structure of the Brewer–Dobson Circulation</article-title>
      </title-group><?xmltex \runningtitle{Changes in BDC structure}?><?xmltex \runningauthor{C. I. Garfinkel et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Garfinkel</surname><given-names>Chaim I.</given-names></name>
          <email>chaim.garfinkel@mail.huji.ac.il</email>
        <ext-link>https://orcid.org/0000-0001-7258-666X</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2 aff3 aff4">
          <name><surname>Aquila</surname><given-names>Valentina</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-2060-6694</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Waugh</surname><given-names>Darryn W.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-7692-2798</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Oman</surname><given-names>Luke D.</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>The Fredy and Nadine Herrmann Institute of Earth Sciences, Hebrew University, Jerusalem, Israel</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Department of Earth and Planetary Science, Johns Hopkins University, Baltimore, MD, USA</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Goddard Earth Science Technology and Research, Greenbelt, MD, USA</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>NASA Goddard Space Flight Center, Greenbelt, MD, USA</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Chaim I. Garfinkel (chaim.garfinkel@mail.huji.ac.il)</corresp></author-notes><pub-date><day>30</day><month>January</month><year>2017</year></pub-date>
      
      <volume>17</volume>
      <issue>2</issue>
      <fpage>1313</fpage><lpage>1327</lpage>
      <history>
        <date date-type="received"><day>16</day><month>June</month><year>2016</year></date>
           <date date-type="rev-request"><day>6</day><month>July</month><year>2016</year></date>
           <date date-type="rev-recd"><day>26</day><month>December</month><year>2016</year></date>
           <date date-type="accepted"><day>4</day><month>January</month><year>2017</year></date>
      </history>
      <permissions>
<license license-type="open-access">
<license-p>This work is licensed under a Creative Commons Attribution 3.0 Unported License. To view a copy of this license, visit <ext-link ext-link-type="uri" xlink:href="http://creativecommons.org/licenses/by/3.0/">http://creativecommons.org/licenses/by/3.0/</ext-link></license-p>
</license>
</permissions><self-uri xlink:href="https://acp.copernicus.org/articles/.html">This article is available from https://acp.copernicus.org/articles/.html</self-uri>
<self-uri xlink:href="https://acp.copernicus.org/articles/.pdf">The full text article is available as a PDF file from https://acp.copernicus.org/articles/.pdf</self-uri>


      <abstract>
    <p>A series of simulations using the NASA Goddard Earth Observing System
Chemistry Climate Model are analyzed in order to assess changes in the
Brewer–Dobson Circulation (BDC) over the past 55 years. When trends are
computed over the past 55 years, the BDC accelerates throughout the
stratosphere, consistent with previous modeling results. However, over the
second half of the simulations (i.e., since the late 1980s), the model
simulates structural changes in the BDC as the temporal evolution of the BDC
varies between regions in the stratosphere. In the mid-stratosphere in the
midlatitude Northern Hemisphere, the BDC does not accelerate in the ensemble
mean of our simulations despite increases in greenhouse gas concentrations
and warming sea surface temperatures, and it even decelerates in one ensemble
member. This deceleration is reminiscent of changes inferred from satellite
instruments and in situ measurements. In contrast, the BDC in the lower
stratosphere continues to accelerate. The main forcing agents for the recent
slowdown in the mid-stratosphere appear to be declining ozone-depleting
substance (ODS) concentrations and the timing of volcanic eruptions. Changes
in both mean age of air and the tropical
upwelling of the residual circulation indicate a lack of recent acceleration.
We therefore clarify that the statement that is often made that climate
models simulate a decreasing age throughout the stratosphere only applies
over long time periods and is not necessarily the case for the past 25 years,
when most tracer measurements were taken.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

      <?xmltex \hack{\newpage}?>
<sec id="Ch1.S1" sec-type="intro">
  <title>Introduction</title>
      <p>The global circulation in the stratosphere – the Brewer–Dobson circulation
(BDC) – consists of air masses rising across the tropical tropopause, moving
poleward, and sinking into the extratropical troposphere
<xref ref-type="bibr" rid="bib1.bibx27 bib1.bibx61 bib1.bibx6" id="paren.1"/>. Since the BDC and its changes have important
implications on both stratospheric and tropospheric climate as well as
stratospheric ozone chemistry <xref ref-type="bibr" rid="bib1.bibx55 bib1.bibx62 bib1.bibx63 bib1.bibx33" id="paren.2"/>, it is
important to assess the factors that lead to simulated BDC changes and
whether historical changes in the BDC as simulated by models are inconsistent
with available observational constraints.</p>
      <p>The BDC has historically been deduced either from the residual circulation or
from the average time for an air parcel to travel from the tropical
troposphere to a given stratospheric sampling region (i.e., the mean age of
air or mean age). While these two diagnostics are clearly related,
differences can arise due to isentropic mixing and recirculation
<xref ref-type="bibr" rid="bib1.bibx61 bib1.bibx58 bib1.bibx30" id="paren.3"/>. Specifically, the vertical component of the
residual circulation (<inline-formula><mml:math id="M1" display="inline"><mml:mover accent="true"><mml:mrow><mml:msup><mml:mi>w</mml:mi><mml:mo>*</mml:mo></mml:msup></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:math></inline-formula>) measures the instantaneous advection,
whereas mean age is an integrated measure of the total transport. It would
not be a surprise if the two metrics had a different evolution.</p>
      <p>Chemistry–climate models robustly predict a strengthened BDC under climate
change in the middle and lower stratosphere of approximately 1–5 % per
decade <xref ref-type="bibr" rid="bib1.bibx7 bib1.bibx8 bib1.bibx18 bib1.bibx29 bib1.bibx60 bib1.bibx54 bib1.bibx19 bib1.bibx31 bib1.bibx6 bib1.bibx40" id="paren.4"><named-content content-type="pre">the precise rate depends on the level considered and varies
among models;
</named-content></xref>. The
model used in this study, the Goddard Earth Observing System
Chemistry Climate Model, Version 2 (GEOSCCM), predicts a trend quantitatively
similar to those in other models both for the historical period and for the
future <xref ref-type="bibr" rid="bib1.bibx41 bib1.bibx60 bib1.bibx9 bib1.bibx30" id="paren.5"/>.</p>
      <p>It has been argued that observational estimates of historical changes do not
agree with the simulated acceleration trend. Specifically, the analysis of
historical tracer data does not provide evidence for an acceleration trend in
the mid-stratosphere Northern Hemisphere (NH), where mean age actually
appears to have increased or remained unchanged
<xref ref-type="bibr" rid="bib1.bibx16 bib1.bibx5 bib1.bibx57 bib1.bibx26 bib1.bibx48" id="paren.6"/>. In particular, the mean
age evolution in the figures of <xref ref-type="bibr" rid="bib1.bibx16" id="text.7"/> and <xref ref-type="bibr" rid="bib1.bibx48" id="text.8"/>
indicates aging since the late 1980s, with earlier changes less clear.
ERA-Interim reanalysis data also suggest aging of NH mid-stratosphere air
since the late 1980s <xref ref-type="bibr" rid="bib1.bibx14 bib1.bibx37 bib1.bibx44" id="paren.9"/>. While these
observational and reanalysis-based studies disagree about the sign of changes
in other regions of the stratosphere, they all indicate aging of air in the
NH midlatitude mid-stratosphere. <xref ref-type="bibr" rid="bib1.bibx48" id="text.10"/> argue that the large
uncertainty estimates on the trends presented by <xref ref-type="bibr" rid="bib1.bibx16" id="text.11"/> are overly
conservative and that this aging trend is statistically significant even
after taking into account the nonlinear growth rates of these trace gases
<xref ref-type="bibr" rid="bib1.bibx19" id="paren.12"><named-content content-type="pre">i.e., the arguments of</named-content></xref>. Several of the aforementioned
studies suggest that these changes in the mean age imply a redistribution of
the BDC, and specifically a slowdown of the deep (i.e., mid-stratospheric) NH
branch of the BDC and/or less mixing of fresh tropical air into this region.
However, it is not clear what forcings (if any) could be responsible for this
redistribution and also whether models of the kind used in WMO ozone
assessments <xref ref-type="bibr" rid="bib1.bibx62 bib1.bibx63" id="paren.13"/> can capture such a slowdown given known
forcings.</p>
      <p><xref ref-type="bibr" rid="bib1.bibx41" id="text.14"/> conducted time-slice and transient simulations using a
previous version of the model used in this study, and they found a trend
towards younger mean age everywhere in the stratosphere between 1960 and
2004, though the decrease in mean age in the Southern Hemisphere (SH) is
larger due to Antarctic ozone depletion. <xref ref-type="bibr" rid="bib1.bibx41" id="text.15"/> also found that
ozone recovery would lead to a slowdown of the BDC if not for warming sea
surface temperatures (SSTs) due to increasing greenhouse gas (GHG) emissions.
<xref ref-type="bibr" rid="bib1.bibx40" id="text.16"/> recently presented differences in mean age and the residual
circulation in time-slice simulations using the ECHAM/MESSy Atmospheric
Chemistry Model (EMAC). The changes in tropical upward mass flux indicate a
strengthening of the BDC between 1960 and 2000 in the NH winter season in the
lower stratosphere and a weakening in the upper stratosphere with a change in
sign at 10 hPa. Changes in mean age show a decrease of about
0.13 year decade<inline-formula><mml:math id="M2" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in the lower and middle stratosphere and a slight
increase in the Arctic upper stratosphere and lower mesosphere. While there
is some hint of a structural change in the properties of the BDC, the changes
occur higher in the stratosphere and at more polar latitudes than is
suggested by available observations.</p>
      <p>The motivation for studying historical changes in the BDC in free-running
climate simulations is <italic>not</italic> to form a best estimate of the actual
historical evolution; for that purpose, reanalyses and/or nudged experiments
are far better (though care must be exercised when interpreting trends).
Rather, the motivation is twofold: one, future projections of the BDC can
only be produced by free-running climate simulations, and these projections
are of limited value if a model's simulation of the past is inconsistent with
observational constraints; two, assuming the model is capable of following
the observed evolution, the forcings that caused these historical changes can
be systematically diagnosed by sequentially adding these forcings. Combined,
the goal of this study is to understand whether historical forcings could
have led to the structural changes in the BDC that have been inferred by
observational studies.</p>
      <p>We show that over the full duration of the experiments (i.e., for a start
date in 1960) we recover the result from previous modeling studies:
anthropogenic climate change leads to acceleration of the BDC throughout the
stratosphere. However, our model can simulate statistically significant aging
of air in the midlatitude NH near 20hPa between the early 1990s and the
present as suggested by available observations. This suggests that historical
forcings have caused structural changes of the BDC since the late 1980s,
whereby the BDC accelerated in the lower stratosphere but decelerated in the
mid-stratosphere, in both the tropics and in the NH. Mean age and the
residual circulation (as measured by tropical <inline-formula><mml:math id="M3" display="inline"><mml:mover accent="true"><mml:mrow><mml:msup><mml:mi>w</mml:mi><mml:mo>*</mml:mo></mml:msup></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:math></inline-formula>) change in
unison. The cause of this mid-stratospheric deceleration trend is a
combination of forcings – ozone-depleting substance (ODS) recovery and the
timing of volcanic eruptions – that together has outweighed
greenhouse-gas-induced acceleration since the late 1980s. We therefore
emphasize that, if one wishes to capture observed historical changes in a model simulation,
careful attention must be paid to the forcings included and the start and end dates used
for trend calculation.</p>
</sec>
<sec id="Ch1.S2">
  <title>Methods</title>
      <p>The model focused on for this study is GEOSCCM, an aerosol- and
chemistry-focused version of the GEOS-5 Earth system model. GEOSCCM couples
the GEOS-5 <xref ref-type="bibr" rid="bib1.bibx51 bib1.bibx36" id="paren.17"/> atmospheric general circulation model
to the comprehensive stratospheric chemistry module StratChem described in
<xref ref-type="bibr" rid="bib1.bibx43" id="text.18"/> and the Goddard Chemistry, Aerosol, Radiation, and Transport
Model (GOCART) described in <xref ref-type="bibr" rid="bib1.bibx12" id="text.19"/>. The model has 72 vertical
layers, with a model top at 0.01 hPa, and all simulations discussed here
were performed at 2<inline-formula><mml:math id="M4" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> latitude <inline-formula><mml:math id="M5" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 2.5<inline-formula><mml:math id="M6" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> longitude
horizontal resolution. Previous versions of GEOSCCM have been graded highly
in the two phases of the Chemistry-Climate Model Validation
Activity <xref ref-type="bibr" rid="bib1.bibx17 bib1.bibx55" id="paren.20"/>. Improvements to the model since then are described
in <xref ref-type="bibr" rid="bib1.bibx42" id="text.21"/> and <xref ref-type="bibr" rid="bib1.bibx3" id="text.22"/>. Note that this model version includes a
spontaneous quasi-biennial oscillation (QBO) and that the QBO phase differs among the three ensemble
members.</p>
      <p>A series of simulations of the period from January 1960 to December  2014
have been performed in order to understand the past evolution of the
stratosphere. These simulations were presented in <xref ref-type="bibr" rid="bib1.bibx3" id="text.23"/>, where the
focus was on changes in temperatures. Here we examine changes in the BDC. We
start with an ensemble in which the only time-varying forcing is changing
SSTs and sea ice, and then sequentially add the following forcings:
greenhouse gases, ozone-depleting substances, volcanic eruptions, and solar
variability. More specifically, these simulations are grouped into the
following five experiments:
<list list-type="order"><list-item>
      <p><italic>SST</italic>, which uses time-varying observed SSTs and sea ice up to November 2006
from the Met Office Hadley Centre observational dataset
<xref ref-type="bibr" rid="bib1.bibx49" id="paren.24"/> and since then from <xref ref-type="bibr" rid="bib1.bibx50" id="text.25"/> and subsequent updates
(Fig. <xref ref-type="fig" rid="Ch1.F1"/>a). GHGs and ODS concentrations are fixed at
1960 levels. Volcanic
eruptions are not included in this experiment, and the solar forcing is held
constant.</p></list-item><list-item>
      <p><italic>SSTGHG</italic>, which includes observed SSTs and increasing GHG concentrations
(Fig. <xref ref-type="fig" rid="Ch1.F1"/>b). GHG concentrations are from observations up to 2005 and from the
Representative Concentrations Pathway 4.5 after 2005 <xref ref-type="bibr" rid="bib1.bibx35" id="paren.26"/>.</p></list-item><list-item>
      <p><italic>SSTGHGODS</italic>, which includes observed SSTs, increasing GHGs, and changing ODS concentrations following
<xref ref-type="bibr" rid="bib1.bibx62" id="text.27"><named-content content-type="post">Fig. <xref ref-type="fig" rid="Ch1.F1"/>c</named-content></xref>.</p></list-item><list-item>
      <p><italic>SSTGHGODSVOL</italic>, which includes observed SSTs, increasing GHGs, changing ODS, and
volcanic eruptions, specified after <xref ref-type="bibr" rid="bib1.bibx15" id="text.28"/> from 1979 to December 2010 and
<xref ref-type="bibr" rid="bib1.bibx10" id="text.29"/> from January 2011 to December 2014
(Fig. <xref ref-type="fig" rid="Ch1.F1"/>d). The only eruption before 1979 included
is Mt. Agung in 1963.</p></list-item><list-item>
      <p><italic>SSTGHGODSVOLSOL</italic> (or <italic>all-forcing</italic>), which includes observed SSTs, increasing GHGs, changing ODS, volcanic
eruptions, and changes in solar flux as in <xref ref-type="bibr" rid="bib1.bibx28" id="text.30"/> and subsequent updates (Fig. <xref ref-type="fig" rid="Ch1.F1"/>e).
Note that neither <xref ref-type="bibr" rid="bib1.bibx40" id="text.31"/> nor <xref ref-type="bibr" rid="bib1.bibx41" id="text.32"/> considered volcanic forcings and solar variability.</p></list-item></list></p>
      <p>All simulations used emissions of tropospheric aerosol and aerosol precursors
following <xref ref-type="bibr" rid="bib1.bibx23" id="text.33"/>. We focus on transient simulations as it is
difficult to compare historical tracer observations to time-slice
simulations.</p>
      <p>Each experiment is composed of three ensemble members initialized with
different initial conditions from a 1960 time-slice simulation. Because we
have three members for each forcing combination, we can also assess at least
partially the range of internal atmospheric variability. This internal
variability is not a source of model uncertainty; rather it is an inherent
part of the climate system. If the BDC in one ensemble member, but not in the
other two, evolves consistently with observational constraints, one can
reasonably conclude that models can capture the observed trends if part of
the observed trend was due to internal variability and was not forced
<xref ref-type="bibr" rid="bib1.bibx53" id="paren.34"><named-content content-type="pre">cf.</named-content></xref>.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1"><caption><p>Forcing applied in the simulations.
<bold>(a)</bold> 10<inline-formula><mml:math id="M7" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S–10<inline-formula><mml:math id="M8" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N average sea surface temperatures,
with a smoothed version of the curve bolded; <bold>(b)</bold> atmospheric
concentrations of CO<inline-formula><mml:math id="M9" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> following RCP4.5; <bold>(c)</bold> equivalent effective
stratospheric chlorine <xref ref-type="bibr" rid="bib1.bibx39" id="paren.35"><named-content content-type="pre">EESC;</named-content><named-content content-type="post"> Eq. 1 with <inline-formula><mml:math id="M10" display="inline"><mml:mrow><mml:mi>a</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M11" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula> for
<inline-formula><mml:math id="M12" display="inline"><mml:mrow><mml:msub><mml:mtext mathvariant="italic">Br</mml:mtext><mml:mi>y</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn>60</mml:mn></mml:mrow></mml:math></inline-formula>, and using 3-year mean age</named-content></xref>;
<bold>(d)</bold> ensemble mean of the aerosol optical thickness from explosive
volcanic eruptions, resulting from prescribed injections of volcanic SO<inline-formula><mml:math id="M13" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>;
<bold>(e)</bold> total solar irradiance.</p></caption>
        <?xmltex \igopts{width=156.490157pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/1313/2017/acp-17-1313-2017-f01.png"/>

      </fig>

      <p>We assume that BDC perturbations induced by each forcing agent add linearly
to the others, as previous work focusing on forcing agents for
lower-stratospheric mass flux and mid-stratospheric mean age suggests that
nonlinearities are small <xref ref-type="bibr" rid="bib1.bibx41 bib1.bibx34" id="paren.36"><named-content content-type="pre">e.g.,</named-content></xref>. The model
version used to perform the integrations described in this paper is no longer
supported, and hence we cannot explicitly test this assumption.</p>
      <p>The use of observed SSTs in our simulations, rather than internally
calculated by the model, produces a climate state closer to the observed one.
However, partitioning trends into an SST-driven component and a component
from other radiative or chemical forcings is somewhat artificial, as the
prescribed SST changes occur in response to and in tandem with the changing
direct atmospheric forcing; however such a partitioning is an effective tool
for disentangling the physical mechanisms leading to changes in the
atmospheric circulation <xref ref-type="bibr" rid="bib1.bibx13" id="paren.37"/>. Specifically, <xref ref-type="bibr" rid="bib1.bibx41" id="text.38"/> found
that the mean tropospheric warming associated with rising SSTs had a bigger
impact on mean age than the direct radiative impacts of CO<inline-formula><mml:math id="M14" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>. Note that
interannual and decadal variability in SSTs drives changes in the BDC that
likely have nothing to do with climate change, and hence we include a
smoothed version of the SST variations in Fig. <xref ref-type="fig" rid="Ch1.F1"/>a
(all experiments were forced with the full time-evolving SST fields).</p>
      <p>A passive tracer is used to derive the mean age. The mixing ratio of this
tracer increases linearly with time, and the time lag in tracer
concentrations between a certain grid point in the stratosphere and a
reference point in the troposphere provides an estimation of mean age at this
stratospheric grid point <xref ref-type="bibr" rid="bib1.bibx61" id="paren.39"/>. We adopt a reference point of 200 hPa
at the Equator. Mean age was first initialized in a 10-year time-slice
control run with 1960 conditions before we branched off for each experiment,
and so mean age can be defined at the beginning of the experiments. Note that
diagnostic output necessary to compute the full age spectrum was not saved
for these model experiments, and hence we are limited in our ability to
quantify mixing changes.</p>
      <p>The aging of NH mid-stratospheric air in observations is pronounced mainly
after the late 1980s <xref ref-type="bibr" rid="bib1.bibx16 bib1.bibx48" id="paren.40"><named-content content-type="pre">see figures in</named-content></xref>, and several
of the reanalysis-based studies begin their analysis in the late 1980s as
they need to initialize trajectories for 10 years before computing mean age.
Hence, in our presentation and discussion of the results, we consider trends
and variability both over the full period of integration and also since 1988.
Motivated by our results, we also discuss trends for a start date of 1992, as
the recent slowdown of the deep branch of the BDC is most pronounced (and
locally statistically significant) for this start date due to the eruption of
Mt. Pinatubo. Finally, global mean age profiles as retrieved by satellites
are only available from 2002 onward <xref ref-type="bibr" rid="bib1.bibx57 bib1.bibx24" id="paren.41"/>, and hence we show
trends since 2002 separately as well.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2"><caption><p>Trends in annual averaged BDC from 1960 to 2014 in the ensemble mean
of the three all-forcing integrations. Mean age trends are indicated by
contours with a contour interval of 6 days decade<inline-formula><mml:math id="M15" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, and the residual
circulation trends are indicated with streamlines. The thickness of the
streamline is proportional to the magnitude of the wind
speed.</p></caption>
        <?xmltex \igopts{width=184.942913pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/1313/2017/acp-17-1313-2017-f02.pdf"/>

      </fig>

      <p><?xmltex \hack{\newpage}?>The trends are calculated with a linear least-squares fit. Statistical
significance of the trends in individual ensemble members of GEOSCCM is
computed using a two-tailed Student's <inline-formula><mml:math id="M16" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> test, and the reduction in degrees of
freedom due to autocorrelation of the residuals is taken into account with
the formula <inline-formula><mml:math id="M17" display="inline"><mml:mrow><mml:mi>N</mml:mi><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:msub><mml:mi>r</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>)</mml:mo><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>+</mml:mo><mml:msub><mml:mi>r</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:msup><mml:mo>)</mml:mo><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, where <inline-formula><mml:math id="M18" display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula> is the number of years and
<inline-formula><mml:math id="M19" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is the lag-1 autocorrelation <xref ref-type="bibr" rid="bib1.bibx53" id="paren.42"><named-content content-type="pre">Eq. 6 of</named-content></xref>. In computing
the ensemble mean response, we first averaged the mean age among the three
ensemble members for each season/year (in order to damp the internal,
unforced, atmospheric variability) and then computed the trend based on the
ensemble mean mean age.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><caption><p>Trend through 2014 in annual averaged mean age in the NH (left),
tropics (middle), and SH (right) for start dates starting in 1960 and ending
in 2002. Each line is for one member of the all-forcing ensemble or for the
all-forcing ensemble mean. Changes in the mid-stratosphere (deep branch) are
shown in <bold>(a–c)</bold>, and changes in the lower stratosphere (shallow
branch) are shown in <bold>(d–f)</bold>. 95 % confidence intervals on the
calculated trends are indicated; note that in the SH mid-stratosphere the
correction of <xref ref-type="bibr" rid="bib1.bibx53" id="text.43"/> for the number of degrees of freedom leads to
very few degrees of freedom for the trend and therefore to high
uncertainty.</p></caption>
        <?xmltex \igopts{width=412.564961pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/1313/2017/acp-17-1313-2017-f03.png"/>

      </fig>

</sec>
<sec id="Ch1.S3">
  <title>Results</title>
      <p>We now examine how the BDC as simulated by GEOSCCM has changed in structure
over the past 55 years. We show that BDC changes (or “trends”) vary with
period considered and location. These structural changes are associated with
several distinct forcings, and these forcings transiently drive changes in
the BDC. When combined with internal variability, it is possible that these
forcings can drive, over the 27-year period of 1988–2014, a deceleration
trend in the NH mid-stratosphere.</p>
<sec id="Ch1.S3.SS1">
  <title>Changes in the all-forcing ensemble</title>
      <p>We begin with changes in the BDC for the all-forcing ensemble. We first
consider changes in the residual circulation and in mean age as a function of
latitude and pressure over the full duration of the experiment in the
ensemble mean (Fig. <xref ref-type="fig" rid="Ch1.F2"/>). The BDC accelerates throughout
the stratosphere as mean age decreases and the residual circulation
accelerates. Hence, changes over the full integration period in our
experiments are consistent with previous work <xref ref-type="bibr" rid="bib1.bibx41" id="paren.44"><named-content content-type="pre">e.g.,</named-content></xref>.
Statistical significance of the trends are considered in
Figs. <xref ref-type="fig" rid="Ch1.F3"/> and <xref ref-type="fig" rid="Ch1.F4"/>, which show
the 95 % confidence bounds on the trends for a range of start dates for
mean age in the selected regions and for tropical mean upwelling. The changes
in both metrics of the BDC are statistically significant at the 95 %
level throughout the stratosphere for a trend start date of 1960, and all
three ensemble members indicate quantitatively similar acceleration trends.</p>
      <p>However, the ensemble mean acceleration trend weakens (and even reverses
locally) and its robustness goes away as we consider more recent periods. To
demonstrate this, we start by showing trends since 1988 in
Fig. <xref ref-type="fig" rid="Ch1.F5"/>. In the lower stratosphere (i.e., the shallow
branch of the BDC), the BDC continues to accelerate in all three ensemble
members, and this change is statistically significant at the 95 % level
in each ensemble member individually and in the ensemble mean (e.g.,
Figs. <xref ref-type="fig" rid="Ch1.F3"/>d, e, f and <xref ref-type="fig" rid="Ch1.F4"/>b).
In the mid- and upper stratosphere, however, trends are not robust across
the various ensemble members. One of the three ensemble members shows
decreasing mean age and an accelerated residual circulation
(Fig. <xref ref-type="fig" rid="Ch1.F5"/>a and gray lines in
Figs. <xref ref-type="fig" rid="Ch1.F3"/>a, b, c and <xref ref-type="fig" rid="Ch1.F4"/>a),
while another shows the opposite (Fig. <xref ref-type="fig" rid="Ch1.F5"/>e and red lines
in Figs. <xref ref-type="fig" rid="Ch1.F3"/>a, b, c and
<xref ref-type="fig" rid="Ch1.F4"/>a). In this ensemble member with aging air,
upwelling decreases throughout the tropics, such that both the residual
circulation and mean age diagnostics suggest deceleration of the BDC. None of
the mean age trends in the mid- and upper stratosphere in
Fig. <xref ref-type="fig" rid="Ch1.F5"/>a, c, and e are statistically significant at the
95 % level (e.g., Fig. <xref ref-type="fig" rid="Ch1.F3"/>a, b, c). Note that if
the start date for the trend is advanced to 1992 then none of the three
ensemble members indicates acceleration of the BDC in the NH midlatitude
mid-stratosphere (Fig. <xref ref-type="fig" rid="Ch1.F3"/>a), but we prefer to
demonstrate that, even for a start date of 1988, aging can be simulated given
the large amount of internal atmospheric variability.</p>
      <p>These differences in trends since 1988 among ensemble members can be
reconciled with the changes in the wave forcing of the BDC. Previous modeling
and theoretical work have demonstrated that changes in the wave forcing
directly force changes in the residual circulation <xref ref-type="bibr" rid="bib1.bibx52 bib1.bibx6" id="paren.45"/>.
Specifically, enhanced wave convergence (i.e., deceleration of the mean flow)
leads to enhanced upwelling on the tropical flank of the enhanced wave
convergence and downwelling on the poleward flank <xref ref-type="bibr" rid="bib1.bibx25" id="paren.46"/>. As both
resolved waves and gravity waves are important for the total wave driving, we
evaluate their combined impact in common units of acceleration of the mean
flow (m s<inline-formula><mml:math id="M20" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> day<inline-formula><mml:math id="M21" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> decade<inline-formula><mml:math id="M22" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>); positive values indicate less
wave convergence and deceleration of the residual circulation, while negative
values indicates enhanced wave convergence and acceleration of the residual
circulation. The right column of Fig. <xref ref-type="fig" rid="Ch1.F5"/> demonstrates
that the difference between the ensemble member with a weakened BDC and the
one with an accelerated BDC is related to differences in the SH wave driving
and subsequent changes in the SH residual circulation. For the ensemble
member with a weakened residual circulation in the SH (and thus aging of air
in the mid-stratosphere), there is less wave flux converging in the SH
(Fig. <xref ref-type="fig" rid="Ch1.F5"/>f). In contrast, for the member with an
accelerated residual circulation in the SH (and thus decreasing mean age in
the NH mid-stratosphere), there is enhanced wave flux converging in the SH
(Fig. <xref ref-type="fig" rid="Ch1.F5"/>b). Note that a difference in wave fluxes in the
SH can influence mean age in the NH because mean age is an integral measure
of transport, and thus changes in the residual circulation in the tropics due
to wave flux changes in the SH can impact the transport pathway into the NH.
Hence, the difference between aging and freshening of mid-stratospheric air
is associated with the internal atmospheric variability associated with wave
fluxes. The Supplement discusses implications of this intra-ensemble
difference for trends in temperature and zonal wind. There is reduced wave
convergence in the NH upper stratosphere
in all three ensemble members, and this effect is most pronounced in boreal
winter (not shown). The cause of the decrease in NH stratospheric wave
convergence is discussed in <xref ref-type="bibr" rid="bib1.bibx21" id="text.47"/> and in the next section.
Overall, our model simulations indicate that known forcings could have led to
a slowdown of the deep branch of BDC since 1988 given the large amount of
internal variability in wave fluxes.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4"><caption><p>As in Fig. <xref ref-type="fig" rid="Ch1.F3"/> but for the upwelling mass
flux in the tropics.</p></caption>
          <?xmltex \igopts{width=173.561811pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/1313/2017/acp-17-1313-2017-f04.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5"><caption><p>(left) As in Fig. <xref ref-type="fig" rid="Ch1.F2"/> but for trends in mean age
from 1988 to 2014 in the three ensemble members. Note that
<bold>(a)</bold> corresponds to the ensemble member with decreasing mean age and
<bold>(e)</bold> to the ensemble member with aging air in the NH midlatitude
stratosphere. The right column shows the changes in total wave forcing of the
BDC (EP flux divergence plus gravity wave drag).</p></caption>
          <?xmltex \igopts{width=227.622047pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/1313/2017/acp-17-1313-2017-f05.pdf"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6" specific-use="star"><caption><p>Time series of annual averaged mean age in the NH (left), tropics
(middle), and SH (right). Each line is for one ensemble mean. Blue is all
forcing, red is SST only, and intermediate colors span the other three
experiments performed. Changes in the mid-stratosphere (deep branch) are
shown in <bold>(a–c)</bold>, and changes in the lower stratosphere (shallow
branch) are shown in <bold>(d–f)</bold>.</p></caption>
          <?xmltex \igopts{width=412.564961pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/1313/2017/acp-17-1313-2017-f06.png"/>

        </fig>

      <p>We now consider the time evolution of changes in mean age in various regions
in Fig. <xref ref-type="fig" rid="Ch1.F6"/>. As the eruption of Mt. Pinatubo had a
pronounced impact on the BDC in these simulations, we separately consider the
evolution before and after its eruption. Changes at NH midlatitudes in the
mid-stratosphere are considered in Fig. <xref ref-type="fig" rid="Ch1.F6"/>a. Note that
this is the region where available observations suggest that air has aged
over the past several decades. In the all-forcing ensemble mean (blue line),
mean age decreases by 0.45 year between 1960 and 1992 (i.e., 0.14 year per
decade, blue in Fig. <xref ref-type="fig" rid="Ch1.F7"/>a) but then ages by
0.12 year after 1992 (i.e., 0.05 year per decade, blue in
Fig. <xref ref-type="fig" rid="Ch1.F7"/>b). The aging trend since 1992 is
statistically significant at the 95 % level in two of the three ensemble
members and in the ensemble mean (Fig. <xref ref-type="fig" rid="Ch1.F3"/>a).
Figure <xref ref-type="fig" rid="Ch1.F8"/> considers the evolution of each of the three
ensemble members individually. The ensemble spread in mean age in any given
year can exceed 5 %. One ensemble member simulates anomalously old air
after 2010, and for this member aging trends are simulated for a start date
of the trend calculation of either 1992 or 1988. Note that a different
ensemble member simulates anomalously younger air relative to the other two
after El Chichón, highlighting the large role of internal atmospheric
variability in masking the response to climate forcings.</p>
      <p>In the tropical and SH mid-stratosphere, mean age also increases from 1992
through the end of the simulation (blue curves in
Figs. <xref ref-type="fig" rid="Ch1.F6"/>b, c and <xref ref-type="fig" rid="Ch1.F3"/>b, c). The
large uncertainty in the trends in the SH arise due to the correction of
<xref ref-type="bibr" rid="bib1.bibx53" id="text.48"/> for the effective number of degrees of freedom associated
with residuals with large autocorrelation. In contrast, in the lower
stratosphere, mean age continues to decline in the tropics and in the NH,
though not in the SH (blue curves in Fig. <xref ref-type="fig" rid="Ch1.F6"/>d, e, f).
The decline in mean age is statistically significant at the 95 % level in
two of three ensemble members and in the ensemble mean in the NH lower
stratosphere (Fig. <xref ref-type="fig" rid="Ch1.F3"/>d). Hence, there are time- and
space-varying variations in recent mean age trends, and only in some regions
of the stratosphere has mean age continued to decline.</p>
      <p>Similar structural changes are evident for the tropical upwelling mass flux
between the turnaround latitudes (<inline-formula><mml:math id="M23" display="inline"><mml:mrow><mml:msubsup><mml:mo>∫</mml:mo><mml:mrow><mml:msup><mml:mi>w</mml:mi><mml:mo>*</mml:mo></mml:msup><mml:mo>=</mml:mo><mml:msub><mml:mn mathvariant="normal">0</mml:mn><mml:mtext>SH</mml:mtext></mml:msub></mml:mrow><mml:mrow><mml:msup><mml:mi>w</mml:mi><mml:mo>*</mml:mo></mml:msup><mml:mo>=</mml:mo><mml:msub><mml:mn mathvariant="normal">0</mml:mn><mml:mtext>NH</mml:mtext></mml:msub></mml:mrow></mml:msubsup><mml:mi mathvariant="italic">ρ</mml:mi><mml:mover accent="true"><mml:mrow><mml:msup><mml:mi>w</mml:mi><mml:mo>*</mml:mo></mml:msup></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mtext>d</mml:mtext><mml:mi>A</mml:mi></mml:mrow></mml:math></inline-formula>, where <inline-formula><mml:math id="M24" display="inline"><mml:mi mathvariant="italic">ρ</mml:mi></mml:math></inline-formula> is the density and <inline-formula><mml:math id="M25" display="inline"><mml:mi>A</mml:mi></mml:math></inline-formula> is the
area of a given zonal band; Figs. <xref ref-type="fig" rid="Ch1.F4"/> and
<xref ref-type="fig" rid="Ch1.F9"/>). In the all-forcing experiment, tropical upwelling
accelerated until 1992 in both the mid-stratosphere and lower stratosphere
(i.e., blue line rises in Fig. <xref ref-type="fig" rid="Ch1.F9"/>, blue in
Fig. <xref ref-type="fig" rid="Ch1.F10"/>a, c, e, g), but since 1992 it has decreased at
all levels above 70 hPa (e.g., Figs. <xref ref-type="fig" rid="Ch1.F9"/>a and
<xref ref-type="fig" rid="Ch1.F10"/>b, d, f, h). These changes are reminiscent of those
proposed by <xref ref-type="bibr" rid="bib1.bibx47 bib1.bibx48" id="text.49"/> in order to explain how NH midlatitude
air in the mid-stratosphere anomalously ages. Specifically, <xref ref-type="bibr" rid="bib1.bibx47" id="text.50"/>
concluded that for a tropical leaky-pipe model, “the best quantitative
agreement with the observed mean age and ozone trends over the past three
decades is found assuming a small strengthening of the mean circulation in
the lower stratosphere, [and] a moderate weakening of the mean circulation in
the middle and upper stratosphere”, as simulated by GEOSCCM. Overall, it is
clear that GEOSCCM can simulate structural changes in the BDC that resemble
those inferred from observations.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7" specific-use="star"><caption><p>Trends in midlatitude NH mean age in the ensemble mean of each of
the five experiments <bold>(a)</bold> from 1960 to 1992 and <bold>(b)</bold> from
1992 to 2014. The trend over the full duration of the experiments is shown in
panel <bold>(c)</bold>. The horizontal line indicates the ensemble mean trend,
and the vertical line indicates the 95 % uncertainty
bounds.</p></caption>
          <?xmltex \igopts{width=327.206693pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/1313/2017/acp-17-1313-2017-f07.pdf"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8"><caption><p>Modeled annual averaged mean age in the NH mid-stratosphere between
30 and 10 hPa in each of the three all-forcing GEOSCCM integrations. Thin
lines denote individual integrations, while thick lines denote ensemble
means. For clarity, we also include the ensemble mean of the
SSTGHGODS simulation.</p></caption>
          <?xmltex \igopts{width=204.859843pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/1313/2017/acp-17-1313-2017-f08.pdf"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS2">
  <title>Forcing of the trends</title>
      <p>We now consider the forcing mechanisms behind these structural changes in the BDC.</p><?xmltex \hack{\newpage}?>
<sec id="Ch1.S3.SS2.SSS1">
  <title>Mid-stratosphere</title>
      <p>As shown above, mean age at NH midlatitudes in the mid-stratosphere decreases
by 0.45 year between 1960 and 1992 in the all-forcing ensemble but then ages
by 0.12 year after 1992 (blue line; Figs. <xref ref-type="fig" rid="Ch1.F6"/>a and
<xref ref-type="fig" rid="Ch1.F7"/>). This evolution can be broken down into its
various forcing components.</p>
      <p><list list-type="order">
              <list-item>

      <p><italic>SSTs</italic>. The red line in Fig. <xref ref-type="fig" rid="Ch1.F6"/>a shows that SSTs
lead to a decrease in mean age of 0.1 year over the course of these
55 years, albeit with substantial interannual and decadal variability.
Specifically, over the last 30 years of the integrations (from 1985 to the
end), there is a weak and insignificant aging trend (e.g., red in
Fig. <xref ref-type="fig" rid="Ch1.F7"/>b). The likely cause of this is a tug-of-war
of opposing effects. On the one hand, gradual warming of the oceans in
isolation leads to an acceleration of the BDC
<xref ref-type="bibr" rid="bib1.bibx41" id="paren.51"><named-content content-type="pre">Fig. <xref ref-type="fig" rid="Ch1.F1"/>a and </named-content></xref>. On the other
hand, the spatial pattern of recent changes in SSTs has led to a decline in
planetary wave flux (especially wave 1) entering the NH stratosphere at
midlatitudes <xref ref-type="bibr" rid="bib1.bibx21" id="paren.52"/>: the vertical component of the Eliassen–Palm
flux at 100 hPa area averaged between 40 and 80<inline-formula><mml:math id="M26" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N declines in all
three all forcing and in all three SST-only experiments, and the decrease is
statistically significant at the 95 % level in the ensemble mean both in
January through March <xref ref-type="bibr" rid="bib1.bibx21" id="paren.53"><named-content content-type="pre">the focus of</named-content></xref> and in the annual
mean. This decline in upward-propagating midlatitude planetary waves at
100 hPa impacts the deep branch more strongly <xref ref-type="bibr" rid="bib1.bibx45 bib1.bibx59" id="paren.54"/>. Hence,
it is not surprising that little change has occurred over the last 30 years.</p>
                <?xmltex \hack{\newpage}?>
              </list-item>
              <list-item>

      <p><italic>Greenhouse gases</italic>. The influence of GHG   can be deduced from the
difference between the red and magenta curves in
Fig. <xref ref-type="fig" rid="Ch1.F6"/>a, as the SST-only ensemble is conducted with
radiative forcings fixed at 1960 levels. The difference between the curves
exceeds 0.1 year towards the end of the integrations.</p>
              </list-item>
              <list-item>

      <p><italic>Declining ODS concentrations</italic>. The effect of increasing ODS concentrations
can be deduced from the difference between the magenta and green curves in
Fig. <xref ref-type="fig" rid="Ch1.F6"/>a, and it suggests that increasing ODS
concentrations led to a decrease in mean age of 0.25 year by the late 1990s
(Fig. <xref ref-type="fig" rid="Ch1.F6"/>a) when the ODS burden was peaking. More
recently, declining ODS concentrations (Fig. <xref ref-type="fig" rid="Ch1.F1"/>c)
lead to a recovery towards older air; that is, the gap between the magenta
and green curves decreases between the late 1990s and the present in
Fig. <xref ref-type="fig" rid="Ch1.F6"/>a. Note that <xref ref-type="bibr" rid="bib1.bibx41" id="text.55"/> also found that
ozone recovery leads to a slowdown of the BDC in a previous version of the
model we use. An ozone-induced acceleration (or deceleration)
of the residual circulation in the SH and tropics can affect mean
age in the NH due to mixing. Finally, we note the caveat that, while
declining ODS concentrations clearly impact the BDC in these integrations, a
statistically significant recovery of ozone has been detected in observations
only in the upper stratosphere at midlatitudes and in the tropics
<xref ref-type="bibr" rid="bib1.bibx63" id="paren.56"/>.</p>
              </list-item>
            </list></p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9"><caption><p>Time series of annual averaged mass flux between the turnaround
latitudes at 50 hPa (top) and 100 hPa (bottom). Each line is for one
ensemble mean. Blue is all forcing, red is SST only, and green is for
SSTGHGODS. For clarity, we suppress two of the intermediate
experiments.</p></caption>
            <?xmltex \igopts{width=204.859843pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/1313/2017/acp-17-1313-2017-f09.pdf"/>

          </fig>

      <p><list list-type="custom">
              <list-item><label>3.</label>

      <p><italic>Volcanoes and solar</italic>. The influence of volcanic eruptions can be
deduced from the difference between the green and cyan curves in
Fig. <xref ref-type="fig" rid="Ch1.F6"/>a, and in our model simulations the eruption of
Mt. Pinatubo and El Chichón led to a decrease in mean age of 0.2 year,
which gradually decayed over 4 to 6 years. Minor volcanic eruptions in the
past 10 years may have led to an additional decrease in mean age of 0.05 to
0.1 year. The net effect is that large eruptions (or lack thereof) can
influence decadal variability in mean age in GEOSCCM. Solar influences appear
to be relatively minor (Fig. <xref ref-type="fig" rid="Ch1.F6"/>a), and we therefore
focus our attention on the other forcings in this paper.</p>
              </list-item>
            </list>The net effect is that, over the second half of the experiments (when
observations are more numerous), decreasing ODS concentrations and the
recovery from Pinatubo overcame the influence of rising GHG concentrations
and led to aging of 0.12 year.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F10"><caption><p>As in Fig. <xref ref-type="fig" rid="Ch1.F7"/> but for tropical mean
upwelling at a variety of pressure levels.</p></caption>
            <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/1313/2017/acp-17-1313-2017-f10.pdf"/>

          </fig>

      <p>The same forcings that led to a statistically significant aging trend in the
NH after 1992 in the ensemble mean and in two integrations also led to similar significant
aging in the tropics (blue curve in Figs. <xref ref-type="fig" rid="Ch1.F3"/>b and
<xref ref-type="fig" rid="Ch1.F6"/>b). Specifically, changes in this region are dominated
by ODS concentrations, and since ODS concentrations decrease after the late
1990s (Fig. <xref ref-type="fig" rid="Ch1.F1"/>c), mean age increases despite rising
GHG concentrations. As for the NH, the earliest start date of significant
aging trends is in the early 1990s due to the eruption of Mt. Pinatubo. ODS
concentrations also dominate the SH mid-stratospheric mean age evolution
(Fig. <xref ref-type="fig" rid="Ch1.F6"/>c), and since ODS concentrations decrease after
the late 1990s, mean age does not change significantly after 1992 in the
all-forcing ensemble as well. Note that the influence of the eruption of Mt.
Pinatubo is weaker in the SH than in the NH; Mt. Pinatubo is located at
15<inline-formula><mml:math id="M27" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, and in our experiments the majority of the aerosols stay in
the NH.</p><?xmltex \hack{\newpage}?>
</sec>
<sec id="Ch1.S3.SS2.SSS2">
  <title>Lower stratosphere</title>
      <p>In the tropical and NH lower stratosphere (Fig. <xref ref-type="fig" rid="Ch1.F6"/>d–e),
increasing GHG concentrations and warming SSTs drive a decrease in mean age
throughout the period of the all-forcing ensemble integrations. In agreement
with the modeling results of <xref ref-type="bibr" rid="bib1.bibx32" id="text.57"/>, warming SSTs (cf.
Fig. <xref ref-type="fig" rid="Ch1.F1"/>a) impact the shallow branch more strongly
than the deep branch. As midlatitude planetary waves are less important for
the shallow branch than for the deep branch <xref ref-type="bibr" rid="bib1.bibx45 bib1.bibx59 bib1.bibx1" id="paren.58"/>, it
is reasonable to expect that a reduction in their strength has a relatively
smaller impact on the shallow branch. Volcanic eruptions have a weaker effect
in the lower stratosphere as compared to the middle stratosphere (compare the
difference between the blue and green curves for the years 1963/1964,
1983/1984, and 1991/1992 between Fig. <xref ref-type="fig" rid="Ch1.F6"/>a and d). A
possible explanation is that longwave and near-infrared heating due to volcanic
aerosols occurs at the level of the aerosols (not shown), and in our
integrations the aerosols are quickly lofted higher in the stratosphere
<xref ref-type="bibr" rid="bib1.bibx3" id="paren.59"><named-content content-type="pre">compare the volcanic influence on temperature as a function of time in
the various levels of </named-content></xref>. This allows for stronger and
longer-lasting changes mainly in the “deep” branch of the BDC. As for
volcanoes, changing ODS concentrations impact the deep branch of the BDC more
strongly (except in the SH where ozone depletion is strongest), and this
effect is consistent with the idealized modeling results of <xref ref-type="bibr" rid="bib1.bibx22" id="text.60"/>. The
colder vortex that follows ozone depletion creates a waveguide higher into
the stratosphere, raising the breaking level of Rossby waves and deepening
the BDC. Hence, it is to be expected that ozone depletion and recovery have a
disproportionate impact on the deep branch. Overall, the aging in the deep
branch since 1992 does not extend to the shallow branch because the two
factors that led to aging (recovery from the Pinatubo eruption and declining
ODS concentrations) preferentially impact the deep branch, while the two
factors that led to freshening (GHG increases and SST warming) preferentially
impact the shallow branch.</p>
      <p>In the SH lower stratosphere (Fig. <xref ref-type="fig" rid="Ch1.F6"/>f), ODS
concentrations are the dominant forcing, but the gradual decline in ODS
concentrations is balanced out by rising GHG concentrations and mean age is
flat after 1995 in the blue all-forcing curve. It is known that
ozone-depletion-induced polar cooling can directly modulate extratropical
wave propagation down to the troposphere <xref ref-type="bibr" rid="bib1.bibx11 bib1.bibx41 bib1.bibx20" id="paren.61"/>,
though future work is needed in order to understand how this influence led to
an accelerated shallow branch.</p>
</sec>
<sec id="Ch1.S3.SS2.SSS3">
  <title>Residual circulation</title>
      <p>The same forcings led to structural changes in tropical upwelling
(Figs. <xref ref-type="fig" rid="Ch1.F4"/> and <xref ref-type="fig" rid="Ch1.F9"/>). In the
all-forcing experiment, tropical upwelling accelerated until 1992 in both the
mid-stratosphere and lower stratosphere (i.e., blue line rises in both panels
of Fig. <xref ref-type="fig" rid="Ch1.F9"/>), and this acceleration is driven largely
by rising greenhouse gas concentrations, warming SSTs, and ozone depletion
(Fig. <xref ref-type="fig" rid="Ch1.F10"/>a, c, e, g). Since 1992, however, the
residual circulation has decelerated at 50 and 70 hPa
(Figs. <xref ref-type="fig" rid="Ch1.F4"/>a, <xref ref-type="fig" rid="Ch1.F9"/>a, and
<xref ref-type="fig" rid="Ch1.F10"/>b, d). The recent deceleration of <inline-formula><mml:math id="M28" display="inline"><mml:mover accent="true"><mml:mrow><mml:msup><mml:mi>w</mml:mi><mml:mo>*</mml:mo></mml:msup></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:math></inline-formula>
at 50 hPa comes about due to competition between changing SSTs and declining
ODS concentrations: changing SSTs lead to continual though insignificant
acceleration (i.e., the red curve continues to rise in
Fig. <xref ref-type="fig" rid="Ch1.F9"/>a though trends in
Fig. <xref ref-type="fig" rid="Ch1.F10"/>b, d are not significant), but ODS recovery
leads to a slight deceleration (i.e., the gap between the red curve and green
curve gradually decreases after 2000 in Fig. <xref ref-type="fig" rid="Ch1.F9"/>a).
Because of the eruption of Pinatubo, the deceleration trend starts in 1992
in the all-forcing experiment (blue curve in Fig. <xref ref-type="fig" rid="Ch1.F9"/>a)
rather than in the late 1990s, when ODS concentrations began to decrease
(Fig. <xref ref-type="fig" rid="Ch1.F1"/>a). For a start date of 1991, the
deceleration trend at 50hPa is statistically significant at the 95 %
level in two ensemble members and in the ensemble mean
(Fig. <xref ref-type="fig" rid="Ch1.F4"/>a). At 100 hPa
(Fig. <xref ref-type="fig" rid="Ch1.F9"/>b), on the other hand, the dominant forcing is
SSTs, and <inline-formula><mml:math id="M29" display="inline"><mml:mover accent="true"><mml:mrow><mml:msup><mml:mi>w</mml:mi><mml:mo>*</mml:mo></mml:msup></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:math></inline-formula> continues to increase throughout the experiment
(Fig. <xref ref-type="fig" rid="Ch1.F4"/>b). The implications of these changes for
ozone and temperature in the lower stratosphere are discussed in
<xref ref-type="bibr" rid="bib1.bibx46" id="text.62"/>. Overall, the same forcings that control the age of
mid-stratospheric air also control the residual circulation, and these
forcings can explain the lack of acceleration of the deep branch of the BDC
since 1992.</p>
</sec>
<sec id="Ch1.S3.SS2.SSS4">
  <title>Summary of key forcing agents</title>
      <p>In summary, from 1960 to the late 1980s (the first half of the experiments),
ozone depletion, rising GHG, and warming SSTs all led to a decrease in mean
age in all regions of the stratosphere. Over the second half of the
experiments (since the early 1990s), rising GHGs have continued to lead to
decreasing mean age, though the decrease is more prominent in the lower
stratosphere. However, declining ODS concentrations and the proximity of the
start date to the eruption of Pinatubo lead to an aging trend that is most
prominent in the mid-stratosphere. The degree of compensation between these
forcings is region-specific, and for the NH midlatitude mid-stratosphere the
volcanic effects and declining ODS concentrations dominate, while in the lower
stratosphere the SSTs and GHGs dominate. Hence, structural changes occurred
in the BDC in our simulations.</p>
</sec>
</sec>
</sec>
<sec id="Ch1.S4">
  <title>Discussion of observed changes</title>
      <p>There are no direct measurements of historical changes in the BDC. However,
its past evolution can be deduced from trace gas measurements or from
satellite data, and here we consider whether the modeled evolution of the BDC
in GEOSCCM is consistent with these constraints.</p><?xmltex \hack{\newpage}?>
<sec id="Ch1.S4.SS1">
  <?xmltex \opttitle{Comparison with BDC changes inferred from in situ CO${}_{2}$ and SF${}_{6}$ concentrations since 1975}?><title>Comparison with BDC changes inferred from in situ CO<inline-formula><mml:math id="M30" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and SF<inline-formula><mml:math id="M31" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula> concentrations since 1975</title>
      <p>Balloon measurements of CO<inline-formula><mml:math id="M32" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and SF<inline-formula><mml:math id="M33" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula> concentrations are available from
1975, and these data do not provide evidence for an acceleration trend in
the mid-stratosphere NH, where mean age actually
appears to have increased <xref ref-type="bibr" rid="bib1.bibx16 bib1.bibx48" id="paren.63"/>. In particular, the mean
age evolution in the figures of <xref ref-type="bibr" rid="bib1.bibx16" id="text.64"/> and <xref ref-type="bibr" rid="bib1.bibx48" id="text.65"/>
indicates aging since the late 1980s, with earlier changes less clear. As
discussed in Sect. <xref ref-type="sec" rid="Ch1.S3.SS1"/>, a similar evolution is present in
our simulations. In order to make the comparison more precise, we subsample
the simulated mean age on the day of each flight analyzed by
<xref ref-type="bibr" rid="bib1.bibx48" id="text.66"/>. As daily three-dimensional fields of mean age were not
archived from the simulations, we cannot map the simulated age into equivalent
latitude space <xref ref-type="bibr" rid="bib1.bibx48" id="paren.67"><named-content content-type="pre">as done by</named-content></xref>. We show all three GEOSCCM
members in order to estimate the internal variability in the model-simulated
mean age (see Fig. <xref ref-type="fig" rid="Ch1.F11"/>).</p>
      <p>GEOSCCM captures the climatological value of mean age averaged over this
period accurately: the difference between the observations and model for
these data points is 3 months. A similar 3-month offset is evident
when comparing GEOSCCM to the mean ages reported by <xref ref-type="bibr" rid="bib1.bibx16" id="text.68"/>, which
falls within the 6-month uncertainty in the observations <xref ref-type="bibr" rid="bib1.bibx16" id="paren.69"/>.
The climatological value of mean age in other regions also agrees well with
satellite-based estimates presented in <xref ref-type="bibr" rid="bib1.bibx56" id="text.70"/>.</p>
      <p>GEOSCCM mean age lies within the error bar for most measurements. While the
weak (non-significant) aging trend noted in observations since 1975 is not
present in GEOSCCM, observed and modeled trends agree within the 95 %
uncertainty level. Note that, if we use the wider uncertainties reported by
<xref ref-type="bibr" rid="bib1.bibx16" id="text.71"/>, mean age in GEOSCCM agrees with all balloon flights and
trends agree within the 90 % uncertainty level (Fig. <xref ref-type="fig" rid="Ch1.F12"/>).
Over the recent period (since 1992), one of the three ensemble members
simulates a trend in close agreement with the observed trend (<inline-formula><mml:math id="M34" display="inline"><mml:mrow><mml:mn>0.12</mml:mn><mml:mo>±</mml:mo><mml:mn>0.1</mml:mn></mml:mrow></mml:math></inline-formula> year decade<inline-formula><mml:math id="M35" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> for GEOSCCM and <inline-formula><mml:math id="M36" display="inline"><mml:mrow><mml:mn>0.14</mml:mn><mml:mo>±</mml:mo><mml:mn>0.14</mml:mn></mml:mrow></mml:math></inline-formula> year decade<inline-formula><mml:math id="M37" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>
for observations). That being said, there is apparently less subseasonal and
QBO variability in GEOSCCM than in the observations <xref ref-type="bibr" rid="bib1.bibx48" id="paren.72"><named-content content-type="pre">and also the
tropical leaky-pipe model of</named-content></xref>, and the trend towards older air is
weaker in the GEOSCCM ensemble mean than in the observations. (Changes in
mixing cannot be diagnosed from these simulations, but it is conceivable that
mixing could account for some of the difference). For future work, we will
consider whether GEOSCCM is consistent with more recent tracer measurements.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F11"><caption><p>Mean age estimates in the data from Fig. 7 of <xref ref-type="bibr" rid="bib1.bibx48" id="text.73"/> in
the NH mid-stratosphere between 20 and 25 km and in the three all-forcing
integrations for the same days. The trend from 1992 to 2012 is included. Note
that in computing the trends we do not include any information as to the
difference in uncertainty among the measurements
for the <xref ref-type="bibr" rid="bib1.bibx48" id="text.74"/> data because all samples in GEOSCCM
have the same uncertainty, and we prefer to use the same statistical test for
both data sources for consistency. This leads to overly conservative
estimates on the uncertainty for the <xref ref-type="bibr" rid="bib1.bibx48" id="text.75"/>
data.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/1313/2017/acp-17-1313-2017-f11.png"/>

        </fig>

</sec>
<sec id="Ch1.S4.SS2">
  <title>Comparison with BDC changes since 2002</title>
      <p>While extreme caution must be exercised in interpreting a trend over such a
short period due to the large stochastic variability in the atmospheric
circulation, we now assess whether BDC changes since 2002 in GEOSCCM are
consistent with observational constraints.</p>
      <p>Vertically and latitudinally resolved changes in satellite-measured SF<inline-formula><mml:math id="M38" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>
are available from 2002 onward, and <xref ref-type="bibr" rid="bib1.bibx24" id="text.76"/> infer mean age trends from
these data (their Fig. 6). They find that mean age declines in the tropical
lower and mid-stratosphere south of the Equator and increases at NH
midlatitudes and in the SH polar stratosphere. We show changes in annual
averaged mean age from January 2002 to December 2011 in
Fig. <xref ref-type="fig" rid="Ch1.F13"/>. The model simulates younger mean age in the
lower stratosphere in all three ensemble members, but changes higher in the
stratosphere are not robust among the various ensemble members. These
intra-ensemble differences highlight the fact that one should not base any
conclusions on the long-term behavior of the BDC on 10-year trends, as trends
over 1 decade are strongly influenced by unforced (internal) variability.
While not one of the ensemble members captures the interhemispheric dipole in
the trends as suggested by satellite data (though individual integrations
separately capture half of the dipole), we suggest that such a correspondence
should not necessarily be expected as the wave forcing of the BDC differs in
any realization of the atmospheric state <xref ref-type="bibr" rid="bib1.bibx53" id="paren.77"><named-content content-type="pre">e.g., see the discussion
in</named-content></xref>.</p>
      <p><xref ref-type="bibr" rid="bib1.bibx4" id="text.78"/> deduce changes in the tropical mass upwelling from changes
in ozone, and they infer a lack of acceleration in mass upwelling above
70 hPa since 2002 (no significant changes) and an acceleration below 70 hPa
of 11 % per decade. Quantitatively similar behavior is evident in
Fig. <xref ref-type="fig" rid="Ch1.F9"/> – upwelling increases at 100 hPa by
approximately 10 % between 2000 and 2014 but decreases at 50 hPa. Hence,
the trend towards younger air in the NH lower stratosphere in GEOSCCM is
consistent with observational constraints. <xref ref-type="bibr" rid="bib1.bibx4" id="text.79"/> further speculate
that this slowdown of the upwelling above 70hPa is associated with the La
Niña-like sea surface temperature trends over this period. This
conjecture is supported by our modeling results: in the SST-only experiment,
<inline-formula><mml:math id="M39" display="inline"><mml:mover accent="true"><mml:mrow><mml:msup><mml:mi>w</mml:mi><mml:mo>*</mml:mo></mml:msup></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:math></inline-formula> at 100 hPa continues to increase over this period but is
largely flat at 50 hPa (and also at 70 and 30 hPa, not shown).
<xref ref-type="bibr" rid="bib1.bibx21" id="text.80"/> also noted that recent changes in SSTs (including the La
Niña-like sea surface temperature trends) lead to less planetary wave
flux entering the stratosphere
at midlatitudes, and changes in midlatitude planetary waves will impact the
deep branch more strongly.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F12"><caption><p>Mean age estimates in the data from <xref ref-type="bibr" rid="bib1.bibx16" id="text.81"/> in the NH
mid-stratosphere between 30 and 5 hPa and in the three all-forcing
integrations for the same locations and months (results are similar if we use
30 to 10 hPa). The uncertainty for the observational estimates is taken from
<xref ref-type="bibr" rid="bib1.bibx16" id="text.82"/>, and the uncertainty of the model simulated mean age can be
deduced from the intra-ensemble spread. The GEOSCCM mean age is offset by
3 months, i.e., the bias in the mean age <xref ref-type="bibr" rid="bib1.bibx16" id="paren.83"><named-content content-type="pre">which is less than the
6-month uncertainty in the observed mean age as evaluated by
</named-content></xref>.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/1313/2017/acp-17-1313-2017-f12.pdf"/>

        </fig>

</sec>
<sec id="Ch1.S4.SS3">
  <title>Response to the eruption of Mt. Pinatubo</title>
      <p>The eruption of Mt. Pinatubo led to younger mean age throughout the
stratosphere and enhanced tropical upwelling in our model. Figure 2 of
<xref ref-type="bibr" rid="bib1.bibx19" id="text.84"/> suggests that similar behavior is present in the Whole
Atmosphere Community Climate Model (WACCM). Similar behavior is evident in
the mid-stratosphere in SOCOL (SOlar Climate Ozone Links), though not in the
lower stratosphere <xref ref-type="bibr" rid="bib1.bibx38" id="paren.85"/>. <xref ref-type="bibr" rid="bib1.bibx14" id="text.86"/> also infer older mean
age in the lower stratosphere following Pinatubo using ERA-Interim data.
However, changes in the residual vertical velocity following Pinatubo differ
among reanalysis products and for varying methodologies used for computing
the residual vertical velocity <xref ref-type="bibr" rid="bib1.bibx2" id="paren.87"/>, and hence the actual
response of the BDC to Pinatubo is poorly constrained by existing reanalysis
data. Specifically, <xref ref-type="bibr" rid="bib1.bibx14" id="text.88"/> use diabatic heating rates in
ERA-Interim to define <inline-formula><mml:math id="M40" display="inline"><mml:mover accent="true"><mml:mrow><mml:msup><mml:mi>w</mml:mi><mml:mo>*</mml:mo></mml:msup></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:math></inline-formula>, and tropical diabatic heating rates
show cooling after Pinatubo in the reanalyses <xref ref-type="bibr" rid="bib1.bibx2" id="paren.89"><named-content content-type="pre">as the reanalyses do not
assimilate aerosol burden; cf. Fig. 1 of</named-content></xref> but warm in GEOSCCM due
to increased shortwave heating from the aerosol plume (not shown). Future
work is needed in order to better constrain the response of the BDC to
volcanic eruptions using observations.</p>
      <p>It is worth noting that the response to the eruption of Mt. Pinatubo is
stronger in the NH mid-stratosphere than in the SH (cf.
Fig. <xref ref-type="fig" rid="Ch1.F6"/>). The likely cause of this is as follows: Mt.
Pinatubo is located at 15<inline-formula><mml:math id="M41" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, and in our experiments the majority of
the aerosols stay in the NH. Therefore, the increased shortwave heating is
stronger in the NH. Future work is needed in order to explore sensitivity to
the details of the prescribed volcanic forcing in the model.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F13"><caption><p>As in Fig. <xref ref-type="fig" rid="Ch1.F2"/> but for changes in the BDC from
January 2002 to December 2011 in the annual mean of the three all-forcing
ensembles. Note that the contour interval differs from
Fig. <xref ref-type="fig" rid="Ch1.F2"/>.</p></caption>
          <?xmltex \igopts{width=133.727953pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/1313/2017/acp-17-1313-2017-f13.png"/>

        </fig>

</sec>
<sec id="Ch1.S4.SS4">
  <title>Summary of the comparison of GEOSCCM to observations</title>
      <p>In conclusion, the evolution of the BDC in GEOSCCM is qualitatively, and by
most measures considered here quantitatively, consistent with observational
constraints. There is a transition between declining mean age throughout the
stratosphere before the late 1980s and regionally-specific changes in mean
age afterwards (including the possibility of aging in the midlatitude
mid-stratosphere in the NH). The statement that is often made that climate
models simulate a decreasing age throughout the stratosphere only applies
over long time periods and is not the case for the past 25 years, for which we
have most tracer measurements.</p>
</sec>
</sec>
<sec id="Ch1.S5" sec-type="conclusions">
  <title>Conclusions</title>
      <p>The Brewer–Dobson Circulation and its changes have important
implications for both stratospheric and tropospheric climate as well as
stratospheric ozone chemistry <xref ref-type="bibr" rid="bib1.bibx55 bib1.bibx62 bib1.bibx63 bib1.bibx33" id="paren.90"/>. Hence, it
is crucial to understand (1) the structure of historical changes in the BDC
and (2) the factors that lead to these changes. It is also important, for
predicting future changes, to know how well models can simulate historical
changes of the BDC as given by available observational constraints.</p>
      <p>Analysis of a series of chemistry–climate model experiments of the period
January 1960 through December 2014 yielded the following conclusions:</p>
      <p><list list-type="order">
          <list-item>

      <p>Over the full duration of the experiments (i.e., for a start date in 1960),
we recover the result from previous modeling studies: anthropogenic climate
change leads to acceleration of the BDC throughout the stratosphere. Ozone
depletion, rising GHG concentrations, and warming SSTs all led to declining
mean age in all regions of the stratosphere.</p>
          </list-item>
          <list-item>

      <p>Since the late 1980s, structural changes have occurred in the BDC.  The BDC
accelerated in the lower stratosphere in the NH and tropics but not in the
mid-stratosphere. Specifically, since 1992 in the ensemble mean, mean age has
increased by <inline-formula><mml:math id="M42" display="inline"><mml:mrow><mml:mn>0.12</mml:mn><mml:mo>±</mml:mo><mml:mn>0.09</mml:mn></mml:mrow></mml:math></inline-formula> year (95 % confidence intervals) in the
mid-stratosphere of the midlatitude NH, and tropical mass upwelling has slowed
down by 2 % (statistically significant in two ensemble members). The
trend in one ensemble member is quantitatively similar to that in available
observations. Hence, there is no inconsistency in trends between our model
and available observations.</p>
          </list-item>
          <list-item>

      <p>The source of this structural change is the time-varying evolution of the
forcing factors. While warming SSTs and rising greenhouse gas concentrations
both lead to acceleration of the BDC (consistent with previous work), their
influence is stronger in the lower stratosphere. In contrast, volcanic
eruptions and ODS concentrations generally impact the deep branch more
strongly. Declining ODS concentrations and the proximity of the start of
declining ODS concentrations to the eruption of Pinatubo led to an aging
trend beginning in the early 1990s in the midlatitude NH mid-stratosphere. If
internal atmospheric variability is taken into consideration, then the
start date of an aging trend in the midlatitude NH mid-stratosphere can be
pushed back to 1988.</p>
          </list-item>
        </list></p>
      <p>In light of these results, we wish to emphasize that, if one wishes to
understand the causes of observed historical changes
in the BDC, careful attention must be paid to the start and end dates used
for trend calculation and the forcings included in a model simulation. In
addition, it should not be expected that any single free-running model
experiment should capture the precise observed trend or necessarily resemble
a second integration using that same model, as the wave forcing of the BDC
differs in any realization of the atmospheric state.</p>
      <p>Many questions as to the historical changes in the BDC are left unanswered by
this study. Diagnostic output necessary to compute the full age spectrum was
not saved for these model experiments, and hence we are limited in our ability
to quantify mixing changes, but it is conceivable that mixing changes
contributed to recent observed mean age trends <xref ref-type="bibr" rid="bib1.bibx48 bib1.bibx44" id="paren.91"/>.
Future work is needed in order to better constrain the response of the BDC to
volcanic eruptions using observations and to explore sensitivity to the
details of the prescribed volcanic forcing in the model. Finally, a more
quantitative comparison of model mean age from a range of modeling centers to
recent in situ observations is needed in order to more firmly diagnose areas
of agreement and disagreement between models and observations.</p>
</sec>
<sec id="Ch1.S6">
  <title>Data availability</title>
      <p>Data related to this article can be found in the Supplement. Additional data
requests should be addressed to Chaim Garfinkel
(chaim.garfinkel@mail.huji.ac.ikl).</p>
</sec>

      
      </body>
    <back><app-group>
        <supplementary-material position="anchor"><p><bold>The Supplement related to this article is available online at <inline-supplementary-material xlink:href="http://dx.doi.org/10.5194/acp-17-1313-2017-supplement" xlink:title="zip">doi:10.5194/acp-17-1313-2017-supplement</inline-supplementary-material>.</bold></p></supplementary-material>
        </app-group><ack><title>Acknowledgements</title><p>The work of Chaim I. Garfinkel was supported by the Israel Science Foundation
(grant number 1558/14) and by a European Research Council starting grant
under the European Union's Horizon 2020 research and innovation program
(grant agreement no. 677756). The work of Darryn W. Waugh is supported, in
part, by grants of the US National Science Foundation to Johns Hopkins
University. Valentina Aquila and Luke D. Oman thank the NASA MAP program for
their support. We also thank Eric Ray for providing data from Figs. 7 and 8
of <xref ref-type="bibr" rid="bib1.bibx48" id="text.92"/> and for help in interpreting balloon data and their
uncertainties, and the four anonymous reviewers for their constructive
criticism. We also thanks those involved in model development at GSFC-GMAO
and Steven Pawson for initially suggesting the suite of GEOSCCM simulations
analyzed here. High-performance computing resources were provided by the NASA
Center for Climate Simulation (NCCS). Correspondence and requests for data
should be addressed to Chaim I. Garfinkel (email:
chaim.garfinkel@mail.huji.ac.il).<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?>Edited by: G.
Stiller<?xmltex \hack{\newline}?> Reviewed by: five anonymous referees</p></ack><ref-list>
    <title>References</title>

      <ref id="bib1.bibx1"><label>Abalos et al.(2014)Abalos, Randel, and Serrano</label><mixed-citation>
Abalos, M., Randel, W. J., and Serrano, E.: Dynamical forcing of subseasonal
variability in the tropical Brewer–Dobson circulation, J. Atmos. Sci., 71,
3439–3453, 2014.</mixed-citation></ref>
      <ref id="bib1.bibx2"><label>Abalos et al.(2015)Abalos, Legras, Ploeger, and Randel</label><mixed-citation>
Abalos, M., Legras, B., Ploeger, F., and Randel, W. J.: Evaluating the
advective Brewer-Dobson circulation in three reanalyses for the period
1979–2012, J. Geophys. Res.-Atmos., 120, 7534–7554,
2015.</mixed-citation></ref>
      <ref id="bib1.bibx3"><label>Aquila et al.(2016)Aquila, Swartz, Colarco, Pawson, Polvani,
Stolarski, and Waugh</label><mixed-citation>Aquila, V., Swartz, W. H., Colarco, P. R., Pawson, S., Polvani, L. M.,
Stolarski, R. S., and Waugh, D. W.: Attributing changes in global
stratospheric temperatures using model integrations with incrementally added
single forcings, J. Geophys. Res.-Atmos., 121, 8067–8082,
<ext-link xlink:href="http://dx.doi.org/10.1002/2015JD023841" ext-link-type="DOI">10.1002/2015JD023841</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bibx4"><label>Aschmann et al.(2014)Aschmann, Burrows, Gebhardt, Rozanov, Hommel,
Weber, and Thompson</label><mixed-citation>Aschmann, J., Burrows, J. P., Gebhardt, C., Rozanov, A., Hommel, R., Weber,
M., and Thompson, A. M.: On the hiatus in the acceleration of tropical
upwelling since the beginning of the 21st century, Atmos. Chem. Phys., 14,
12803–12814, <ext-link xlink:href="http://dx.doi.org/10.5194/acp-14-12803-2014" ext-link-type="DOI">10.5194/acp-14-12803-2014</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bibx5"><label>Bönisch et al.(2011)Bönisch, Engel, Birner, Hoor, Tarasick,
and Ray</label><mixed-citation>Bönisch, H., Engel, A., Birner, Th., Hoor, P., Tarasick, D. W., and Ray,
E. A.: On the structural changes in the Brewer-Dobson circulation after 2000,
Atmos. Chem. Phys., 11, 3937–3948, <ext-link xlink:href="http://dx.doi.org/10.5194/acp-11-3937-2011" ext-link-type="DOI">10.5194/acp-11-3937-2011</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bibx6"><label>Butchart(2014)</label><mixed-citation>Butchart, N.: The Brewer-Dobson circulation, Rev. Geophys., 52, 157–184,
<ext-link xlink:href="http://dx.doi.org/10.1002/2013RG000448" ext-link-type="DOI">10.1002/2013RG000448</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bibx7"><label>Butchart and Scaife(2001)</label><mixed-citation>Butchart, N. and Scaife, A. A.: Removal of chlorofluorocarbons by increased
mass exchange between the stratosphere and troposphere in a changing climate,
Nature, 410, 799–802, <ext-link xlink:href="http://dx.doi.org/10.1038/35071047" ext-link-type="DOI">10.1038/35071047</ext-link>, 2001.</mixed-citation></ref>
      <ref id="bib1.bibx8"><label>Butchart et al.(2006)Butchart, Scaife, Bourqui, de Grandpre, Hare,
Kettleborough, Langematz, Manzini, Sassi, Shibata, Shindell, and
Sigmond</label><mixed-citation>Butchart, N., Scaife, A. A., Bourqui, M., de Grandpre, J., Hare, S. H. E.,
Kettleborough, J., Langematz, U., Manzini, E., Sassi, F., Shibata, K.,
Shindell, D., and Sigmond, M.: Simulations of anthropogenic change in the
strength of the Brewer-Dobson circulation, Clim. Dynam., 27, 727–741,
<ext-link xlink:href="http://dx.doi.org/10.1007/s00382-006-0162-4" ext-link-type="DOI">10.1007/s00382-006-0162-4</ext-link>, 2006.</mixed-citation></ref>
      <ref id="bib1.bibx9"><label>Butchart et al.(2010)Butchart, Cionni, Eyring, Shepherd, Waugh,
Akiyoshi, Austin, Brühl, Chipperfield, Cordero et al.</label><mixed-citation>Butchart, N., Cionni, I., Eyring, V., Shepherd, T. G., Waugh, D. W.,
Akiyoshi, H., Austin, J., Brühl, C., Chipperfield, M. P., Cordero, E.,
and Dameris, M.:
Chemistry-climate model simulations of twenty-first century stratospheric
climate and circulation changes, J. Climate, 23, 5349–5374,
<ext-link xlink:href="http://dx.doi.org/10.1175/2010JCLI3404.1" ext-link-type="DOI">10.1175/2010JCLI3404.1</ext-link>, 2010.</mixed-citation></ref>
      <ref id="bib1.bibx10"><label>Carn et al.(2015)Carn, Yang, Prata, and Krotkov</label><mixed-citation>Carn, S., Yang, K., Prata, A., and Krotkov, N.: Extending the long-term
record
of volcanic SO<inline-formula><mml:math id="M43" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> emissions with the Ozone Mapping and Profiler Suite nadir
mapper, Geophys. Res. Lett., 42, 925–932,
<ext-link xlink:href="http://dx.doi.org/10.1002/2014GL062437" ext-link-type="DOI">10.1002/2014GL062437</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bibx11"><label>Chen and Held(2007)</label><mixed-citation>Chen, G. and Held, I. M.: Phase speed spectra and the recent poleward
shift of Southern Hemisphere surface westerlies, Geophys. Res. Lett., 34,
L21805, <ext-link xlink:href="http://dx.doi.org/10.1029/2007GL031200" ext-link-type="DOI">10.1029/2007GL031200</ext-link>, 2007.</mixed-citation></ref>
      <ref id="bib1.bibx12"><label>Colarco et al.(2010)Colarco, da Silva, Chin, and Diehl</label><mixed-citation>Colarco, P., da Silva, A., Chin, M., and Diehl, T.: Online simulations of
global aerosol distributions in the NASA GEOS-4 model and comparisons to
satellite and ground-based aerosol optical depth, J. Geophys.
Res.-Atmos., 115, D14207, <ext-link xlink:href="http://dx.doi.org/10.1029/2009JD012820" ext-link-type="DOI">10.1029/2009JD012820</ext-link>, 2010.</mixed-citation></ref>
      <ref id="bib1.bibx13"><label>Deser and Phillips(2009)</label><mixed-citation>Deser, C. and Phillips, A. S.: Atmospheric circulation trends, 1950–2000:
The
relative roles of sea surface temperature forcing and direct atmospheric
radiative forcing, J. Climate, 22, 396–413,
<ext-link xlink:href="http://dx.doi.org/10.1175/2008JCLI2453.1" ext-link-type="DOI">10.1175/2008JCLI2453.1</ext-link>, 2009.</mixed-citation></ref>
      <ref id="bib1.bibx14"><label>Diallo et al.(2012)Diallo, Legras, and Chédin</label><mixed-citation>Diallo, M., Legras, B., and Chédin, A.: Age of stratospheric air in the
ERA-Interim, Atmos. Chem. Phys., 12, 12133–12154,
<ext-link xlink:href="http://dx.doi.org/10.5194/acp-12-12133-2012" ext-link-type="DOI">10.5194/acp-12-12133-2012</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bibx15"><label>Diehl et al.(2012)Diehl, Heil, Chin, Pan, Streets, Schultz, and
Kinne</label><mixed-citation>Diehl, T., Heil, A., Chin, M., Pan, X., Streets, D., Schultz, M., and Kinne,
S.: Anthropogenic, biomass burning, and volcanic emissions of black carbon,
organic carbon, and SO<inline-formula><mml:math id="M44" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> from 1980 to 2010 for hindcast model experiments,
Atmos. Chem. Phys. Discuss., 12, 24895–24954,
<ext-link xlink:href="http://dx.doi.org/10.5194/acpd-12-24895-2012" ext-link-type="DOI">10.5194/acpd-12-24895-2012</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bibx16"><label>Engel et al.(2009)Engel, Möbius, Bönisch, Schmidt, Heinz,
Levin, Atlas, Aoki, Nakazawa, Sugawara et al.</label><mixed-citation>Engel, A., Möbius, T., Bönisch, H., Schmidt, U., Heinz, R., Levin,
I., Atlas, E., Aoki, S., Nakazawa, T., Sugawara, S., and Moore, F.: Age of
stratospheric
air unchanged within uncertainties over the past 30 years, Nat. Geosci.,
2, 28–31, <ext-link xlink:href="http://dx.doi.org/10.1038/ngeo388" ext-link-type="DOI">10.1038/ngeo388</ext-link>, 2009.</mixed-citation></ref>
      <ref id="bib1.bibx17"><label>Eyring et al.(2006)Eyring, Butchart, Waugh, Akiyoshi,
Austin, Bekki, Bodeker, Boville, Brühl, Chipperfield,
Cordero, Dameris, Deushi, Fioletov, Frith, Garcia, Gettelman,
Giorgetta, Grewe, Jourdain, Kinnison, Mancini, Manzini,
Marchand, Marsh, Nagashima, Newman, Nielsen, Pawson, Pitari,
Plummer, Rozanov, Schraner, Shepherd, Shibata, Stolarski,
Struthers, Tian, and Yoshiki</label><mixed-citation>Eyring, V., Butchart, N., Waugh, D. W., Akiyoshi, H., Austin, J.,
Bekki, S., Bodeker, G. E., Boville, B. A., Brühl, C.,
Chipperfield, M. P., Cordero, E., Dameris, M., Deushi, M.,
Fioletov, V. E., Frith, S. M., Garcia, R. R., Gettelman, A.,
Giorgetta, M. A., Grewe, V., Jourdain, L., Kinnison, D. E.,
Mancini, E., Manzini, E., Marchand, M., Marsh, D. R., Nagashima,
T., Newman, P. A., Nielsen, J. E., Pawson, S., Pitari, G., Plummer,
D. A., Rozanov, E., Schraner, M., Shepherd, T. G., Shibata, K.,
Stolarski, R. S., Struthers, H., Tian, W., and Yoshiki, M.:
Assessment of temperature, trace species, and ozone in chemistry-climate
model simulations of the recent past, J. Geophys. Res.-Atmos., 111, D22308, <ext-link xlink:href="http://dx.doi.org/10.1029/2006JD007327" ext-link-type="DOI">10.1029/2006JD007327</ext-link>, 2006.</mixed-citation></ref>
      <ref id="bib1.bibx18"><label>Garcia and Randel(2008)</label><mixed-citation>
Garcia, R. R. and Randel, W. J.: Acceleration of the Brewer–Dobson
Circulation
due to Increases in Greenhouse Gases, J. Atmos. Sci., 65, 2731–2739, 2008.</mixed-citation></ref>
      <ref id="bib1.bibx19"><label>Garcia et al.(2011)Garcia, Randel, and Kinnison</label><mixed-citation>Garcia, R. R., Randel, W. J., and Kinnison, D. E.: On the determination of
age
of air trends from atmospheric trace species, J. Atmos.
Sci., 68, 139–154, <ext-link xlink:href="http://dx.doi.org/10.1175/2010JAS3527.1" ext-link-type="DOI">10.1175/2010JAS3527.1</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bibx20"><label>Garfinkel et al.(2013)Garfinkel, Waugh, and Gerber</label><mixed-citation>Garfinkel, C. I., Waugh, D. W., and Gerber, E. P.: The Effect of Tropospheric
Jet Latitude on Coupling between the Stratospheric Polar Vortex and the
Troposphere, J. Climate, 26, 2077–2095, <ext-link xlink:href="http://dx.doi.org/10.1175/JCLI-D-12-00301.1" ext-link-type="DOI">10.1175/JCLI-D-12-00301.1</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bibx21"><label>Garfinkel et al.(2015)Garfinkel, Hurwitz, and Oman</label><mixed-citation>Garfinkel, C. I., Hurwitz, M. M., and Oman, L. D.: Effect of Recent Sea
Surface Temperature Trends on the Arctic Stratospheric Vortex, J. Geophys.
Res., 120, 5404–5416, <ext-link xlink:href="http://dx.doi.org/10.1002/2015JD023284" ext-link-type="DOI">10.1002/2015JD023284</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bibx22"><label>Gerber(2012)</label><mixed-citation>Gerber, E. P.: Stratospheric versus Tropospheric Control of the Strength and
Structure of the Brewer–Dobson Circulation, J. Atmos. Sci., 69, 2857–2877,
<ext-link xlink:href="http://dx.doi.org/10.1175/JAS-D-11-0341.1" ext-link-type="DOI">10.1175/JAS-D-11-0341.1</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bibx23"><label>Granier et al.(2011)</label><mixed-citation>Granier, C., Bessagnet, B., Bond, T., D'Angiola, A., van Der Gon, H. D.,
Frost, G. J., Heil, A., Kaiser, J. W., Kinne, S., Klimont, Z., and Kloster,
S.:
Evolution of anthropogenic and biomass burning emissions of air pollutants at
global and regional scales during the 1980–2010 period, Climatic Change,
109, 163–190, <ext-link xlink:href="http://dx.doi.org/10.1007/s10584-011-0154-1" ext-link-type="DOI">10.1007/s10584-011-0154-1</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bibx24"><label>Haenel et al.(2015)Haenel, Stiller, von Clarmann, Funke, Eckert,
Glatthor, Grabowski, Kellmann, Kiefer, Linden et al.</label><mixed-citation>Haenel, F. J., Stiller, G. P., von Clarmann, T., Funke, B., Eckert, E.,
Glatthor, N., Grabowski, U., Kellmann, S., Kiefer, M., Linden, A., and
Reddmann, T.: Reassessment of MIPAS age of air trends and variability, Atmos.
Chem. Phys., 15, 13161–13176, <ext-link xlink:href="http://dx.doi.org/10.5194/acp-15-13161-2015" ext-link-type="DOI">10.5194/acp-15-13161-2015</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bibx25"><label>Haynes et al.(1991)Haynes, McIntyre, Shepherd, Marks, and
Shine</label><mixed-citation>Haynes, P. H., McIntyre, M. E., Shepherd, T. G., Marks, C. J., and
Shine, K. P.: On the “Downward Control” of Extratropical Diabatic
Circulations by Eddy-Induced Mean Zonal Forces, J. Atmos.
Sci., 48, 651–680, <ext-link xlink:href="http://dx.doi.org/10.1175/1520-0469(1991)048&lt;0651:OTCOED&gt;2.0.CO;2" ext-link-type="DOI">10.1175/1520-0469(1991)048&lt;0651:OTCOED&gt;2.0.CO;2</ext-link>, 1991.</mixed-citation></ref>
      <ref id="bib1.bibx26"><label>Hegglin et al.(2014)Hegglin, Plummer, Shepherd, Scinocca, Anderson,
Froidevaux, Funke, Hurst, Rozanov, Urban et al.</label><mixed-citation>Hegglin, M. I., Plummer, D. A., Shepherd, T. G., Scinocca, J. F., Anderson,
J., Froidevaux, L., Funke, B., Hurst, D., Rozanov, A., Urban, J., and Von
Clarmann, T.: Vertical structure
of stratospheric water vapour trends derived from merged satellite data,
Nat. Geosci., 7, 768–776, <ext-link xlink:href="http://dx.doi.org/10.1038/ngeo2236" ext-link-type="DOI">10.1038/ngeo2236</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bibx27"><label>Holton et al.(1995)Holton, Haynes, McIntyre, Douglass, Rood, and
Pfister</label><mixed-citation>Holton, J. R., Haynes, P. H., McIntyre, M. E., Douglass, A. R., Rood, R. B.,
and Pfister, L.: Stratosphere-troposphere exchange, Rev. Geophys.,
33, 403–439, <ext-link xlink:href="http://dx.doi.org/10.1029/95RG02097" ext-link-type="DOI">10.1029/95RG02097</ext-link>, 1995.</mixed-citation></ref>
      <ref id="bib1.bibx28"><label>Lean(2000)</label><mixed-citation>Lean, J.: Evolution of the Sun's spectral irradiance since the Maunder
Minimum, Geophys. Res. Lett., 27, 2425–2428, <ext-link xlink:href="http://dx.doi.org/10.1029/2000GL000043" ext-link-type="DOI">10.1029/2000GL000043</ext-link>,
2000.</mixed-citation></ref>
      <ref id="bib1.bibx29"><label>Li et al.(2008)Li, Austin, and Wilson</label><mixed-citation>Li, F., Austin, J., and Wilson, J.: The Strength of the Brewer Dobson
Circulation in a Changing Climate: Coupled Chemistry Climate Model
Simulations, J. Climate, 21, 40–57, <ext-link xlink:href="http://dx.doi.org/10.1175/2007JCLI1663.1" ext-link-type="DOI">10.1175/2007JCLI1663.1</ext-link>, 2008.</mixed-citation></ref>
      <ref id="bib1.bibx30"><label>Li et al.(2012)Li, Waugh, Douglass, Newman, Strahan, Ma, Nielsen, and
Liang</label><mixed-citation>Li, F., Waugh, D. W., Douglass, A. R., Newman, P. A., Strahan, S. E., Ma, J.,
Nielsen, J. E., and Liang, Q.: Long-term changes in stratospheric age spectra
in the 21st century in the Goddard Earth Observing System Chemistry-Climate
Model (GEOSCCM), J. Geophys. Res.-Atmos.,
117, D20119, <ext-link xlink:href="http://dx.doi.org/10.1029/2012JD017905" ext-link-type="DOI">10.1029/2012JD017905</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bibx31"><label>Lin and Fu(2013)</label><mixed-citation>
Lin, P. and Fu, Q.: Changes in various branches of the Brewer–Dobson
circulation from an ensemble of chemistry climate models, J.
Geophys. Res.-Atmos., 118, 73–84, 2013.</mixed-citation></ref>
      <ref id="bib1.bibx32"><label>Lin et al.(2015)Lin, Ming, and Ramaswamy</label><mixed-citation>
Lin, P., Ming, Y., and Ramaswamy, V.: Tropical climate change control of the
lower stratospheric circulation, Geophys. Res. Lett., 42, 941–948,
2015.</mixed-citation></ref>
      <ref id="bib1.bibx33"><label>Manzini et al.(2014)Manzini, Karpechko, Anstey, Baldwin, Black,
Cagnazzo, Calvo, Charlton-Perez, Christiansen, Davini et al.</label><mixed-citation>
Manzini, E., Karpechko, A. Y., Anstey, J., Baldwin, M. P., Black, R. X.,
Cagnazzo, C., Calvo, N., Charlton-Perez, A., Christiansen, B., Davini, P.,
and Gerber, E.:
Northern winter climate change: Assessment of uncertainty in CMIP5
projections related to stratosphere-troposphere coupling, J.
Geophys. Res.-Atmos., 119, 7979–7998, 2014.</mixed-citation></ref>
      <ref id="bib1.bibx34"><label>McLandress et al.(2010)McLandress, Jonsson, Plummer, Reader,
Scinocca, and Shepherd</label><mixed-citation>McLandress, C., Jonsson, A. I., Plummer, D. A., Reader, M. C., Scinocca,
J. F.,
and Shepherd, T. G.: Separating the dynamical effects of climate change and
ozone depletion. Part I: Southern Hemisphere stratosphere, J.
Climate, 23, 5002–5020, <ext-link xlink:href="http://dx.doi.org/10.1175/2010JCLI3586.1" ext-link-type="DOI">10.1175/2010JCLI3586.1</ext-link>, 2010.</mixed-citation></ref>
      <ref id="bib1.bibx35"><label>Meinshausen et al.(2011)Meinshausen, Smith, Calvin, Daniel, Kainuma,
Lamarque, Matsumoto, Montzka, Raper, Riahi et al.</label><mixed-citation>
Meinshausen, M., Smith, S. J., Calvin, K., Daniel, J. S., Kainuma, M. L. T.,
Lamarque, J. F., Matsumoto, K., Montzka, S. A., Raper, S. C. B., Riahi, K.,
and Thomson, A. G. J. M. V.: The
RCP greenhouse gas concentrations and their extensions from 1765 to 2300,
Climatic change, 109, 213–241, 2011.</mixed-citation></ref>
      <ref id="bib1.bibx36"><label>Molod et al.(2012)Molod, Takacs, Suarez, Bacmeister, Song, and
Eichmann</label><mixed-citation>Molod, A., Takacs, L., Suarez, M., Bacmeister, J., Song, I.-S., and Eichmann,
A.: The GEOS-5 Atmospheric General Circulation Model: Mean Climate and
Development from MERRA to Fortuna, Technical Report Series on Global
Modeling and Data Assimilation, available at:
<uri>https://gmao.gsfc.nasa.gov/pubs/docs/Molod484.pdf</uri> (last access:
21 January 2017), 2012.</mixed-citation></ref>
      <ref id="bib1.bibx37"><label>Monge-Sanz et al.(2013)Monge-Sanz, Chipperfield, Dee, Simmons, and
Uppala</label><mixed-citation>
Monge-Sanz, B., Chipperfield, M., Dee, D., Simmons, A., and Uppala, S.:
Improvements in the stratospheric transport achieved by a chemistry transport
model with ECMWF (re) analyses: identifying effects and remaining challenges,
Q. J. Roy. Meteor. Soc., 139, 654–673, 2013.</mixed-citation></ref>
      <ref id="bib1.bibx38"><label>Muthers et al.(2016)Muthers, Kuchar, Stenke, Schmitt, Anet, Raible,
and Stocker</label><mixed-citation>Muthers, S., Kuchar, A., Stenke, A., Schmitt, J., Anet, J. G., Raible, C. C.,
and Stocker, T. F.: Stratospheric age of air variations between 1600–2100,
Geophys. Res. Lett., 43, 5409–5418, <ext-link xlink:href="http://dx.doi.org/10.1002/2016GL068734" ext-link-type="DOI">10.1002/2016GL068734</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bibx39"><label>Newman et al.(2007)Newman, Daniel, Waugh, and Nash</label><mixed-citation>Newman, P. A., Daniel, J. S., Waugh, D. W., and Nash, E. R.: A new
formulation of equivalent effective stratospheric chlorine (EESC), Atmos.
Chem. Phys., 7, 4537–4552, <ext-link xlink:href="http://dx.doi.org/10.5194/acp-7-4537-2007" ext-link-type="DOI">10.5194/acp-7-4537-2007</ext-link>, 2007.</mixed-citation></ref>
      <ref id="bib1.bibx40"><label>Oberländer-Hayn et al.(2015)Oberländer-Hayn, Meul, Langematz,
Abalichin, and Haenel</label><mixed-citation>Oberländer-Hayn, S., Meul, S., Langematz, U., Abalichin, J., and Haenel,
F.: A chemistry-climate model study of past changes in the Brewer-Dobson
circulation, J. Geophys. Res.-Atmos., 120, 6742–6757,
<ext-link xlink:href="http://dx.doi.org/10.1002/2014JD022843" ext-link-type="DOI">10.1002/2014JD022843</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bibx41"><label>Oman et al.(2009)Oman, Waugh, Pawson, Stolarski, and
Newman</label><mixed-citation>Oman, L., Waugh, D. W., Pawson, S., Stolarski, R. S., and Newman, P. A.: On
the
influence of anthropogenic forcings on changes in the stratospheric mean age,
J. Geophys. Res.-Atmos., 114, D03105,
<ext-link xlink:href="http://dx.doi.org/10.1029/2008JD010378" ext-link-type="DOI">10.1029/2008JD010378</ext-link>, 2009.</mixed-citation></ref>
      <ref id="bib1.bibx42"><label>Oman and Douglass(2014)</label><mixed-citation>Oman, L. D. and Douglass, A. R.: Improvements in total column ozone in
GEOSCCM and comparisons with a new ozone-depleting substances scenario, J.
Geophys. Res.-Atmos., 119, 5613–5624, <ext-link xlink:href="http://dx.doi.org/10.1002/2014JD021590" ext-link-type="DOI">10.1002/2014JD021590</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bibx43"><label>Pawson et al.(2008)Pawson, Stolarski, Douglass, Newman,
Nielsen, Frith, and Gupta</label><mixed-citation>Pawson, S., Stolarski, R. S., Douglass, A. R., Newman, P. A.,
Nielsen, J. E., Frith, S. M., and Gupta, M. L.: Goddard Earth
Observing System chemistry-climate model simulations of stratospheric
ozone-temperature coupling between 1950 and 2005, J. Geophys.
Res.-Atmos., 113, D12103, <ext-link xlink:href="http://dx.doi.org/10.1029/2007JD009511" ext-link-type="DOI">10.1029/2007JD009511</ext-link>, 2008.</mixed-citation></ref>
      <ref id="bib1.bibx44"><label>Ploeger et al.(2015)Ploeger, Abalos, Birner, Konopka, Legras,
Müller, and Riese</label><mixed-citation>
Ploeger, F., Abalos, M., Birner, T., Konopka, P., Legras, B., Müller, R.,
and Riese, M.: Quantifying the effects of mixing and residual circulation on
trends of stratospheric mean age of air, Geophys. Res. Lett., 42,
2047–2054, 2015.</mixed-citation></ref>
      <ref id="bib1.bibx45"><label>Plumb(2002)</label><mixed-citation>Plumb, R. A.: Stratospheric transport, J. Meteorol. Soc. Jpn., 80, 793–809,
<ext-link xlink:href="http://dx.doi.org/10.2151/jmsj.80.793" ext-link-type="DOI">10.2151/jmsj.80.793</ext-link>, 2002.</mixed-citation></ref>
      <ref id="bib1.bibx46"><label>Polvani et al.(2017)Polvani, Wang, Aquila, and Waugh</label><mixed-citation>
Polvani, L., Wang, L., Aquila, V., and Waugh, D.: The impact of ozone
depleting
substances on tropical upwelling, as revealed by the absence of cooling
trends since the late 1990ss, J. Climate, in press, 2017.</mixed-citation></ref>
      <ref id="bib1.bibx47"><label>Ray et al.(2010)Ray, Moore, Rosenlof, Davis, Boenisch, Morgenstern,
Smale, Rozanov, Hegglin, Pitari et al.</label><mixed-citation>Ray, E. A., Moore, F. L., Rosenlof, K. H., Davis, S. M., Boenisch, H.,
Morgenstern, O., Smale, D., Rozanov, E., Hegglin, M., Pitari, G., and
Mancini, E.:
Evidence for changes in stratospheric transport and mixing over the past
three decades based on multiple data sets and tropical leaky pipe analysis,
J. Geophys. Res.-Atmos., 115, D21304,
<ext-link xlink:href="http://dx.doi.org/10.1029/2010JD014206" ext-link-type="DOI">10.1029/2010JD014206</ext-link>, 2010.</mixed-citation></ref>
      <ref id="bib1.bibx48"><label>Ray et al.(2014)Ray, Moore, Rosenlof, Davis, Sweeney, Tans, Wang,
Elkins, Bönisch, Engel et al.</label><mixed-citation>Ray, E. A., Moore, F. L., Rosenlof, K. H., Davis, S. M., Sweeney, C., Tans,
P., Wang, T., Elkins, J. W., Bönisch, H., Engel, A., and Sugawara, S.:
Improving stratospheric transport trend analysis based on SF6 and CO<inline-formula><mml:math id="M45" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
measurements, J. Geophys. Res.-Atmos., 119, 14–110, 2014.</mixed-citation></ref>
      <ref id="bib1.bibx49"><label>Rayner et al.(2006)Rayner, Brohan, Parker, Folland, Kennedy, Vanicek,
Ansell, and Tett</label><mixed-citation>Rayner, N., Brohan, P., Parker, D., Folland, C., Kennedy, J., Vanicek, M.,
Ansell, T., and Tett, S.: Improved analyses of changes and uncertainties in
sea surface temperature measured in situ since the mid-nineteenth century:
The HadSST2 dataset, J. Climate, 19, 446–469,
<ext-link xlink:href="http://dx.doi.org/10.1175/JCLI3637.1" ext-link-type="DOI">10.1175/JCLI3637.1</ext-link>, 2006.</mixed-citation></ref>
      <ref id="bib1.bibx50"><label>Reynolds et al.(2002)Reynolds, Rayner, Smith, Stokes, and
Wang</label><mixed-citation>Reynolds, R. W., Rayner, N. A., Smith, T. M., Stokes, D. C., and Wang, W.: An
improved in situ and satellite SST analysis for climate, J. Climate,
15, 1609–1625, <ext-link xlink:href="http://dx.doi.org/10.1175/1520-0442(2002)015&lt;1609:AIISAS&gt;2.0.CO;2" ext-link-type="DOI">10.1175/1520-0442(2002)015&lt;1609:AIISAS&gt;2.0.CO;2</ext-link>, 2002.
</mixed-citation></ref><?xmltex \hack{\newpage}?>
      <ref id="bib1.bibx51"><label>Rienecker et al.(2008)</label><mixed-citation>Rienecker, M. M., Suarez, M. J., Todling, R., Bacmeister, J., Takacs, L.,
Liu, H.-C., Gu, W., Sienkiewicz, M., Koster, R. D., Gelaro, R., Stajner, I.,
and Nielsen, J. E.: The GEOS-5 Data Assimilation System – Documentation of
Versions 5.0.1, 5.1.0, and 5.2.0, Technical Report Series on Global Modeling
and Data Assimilation, 27,
<uri>http://gmao.gsfc.nasa.gov/pubs/docs/Rienecker369.pdf</uri> (last access:
21 January 2017), 2008.</mixed-citation></ref>
      <ref id="bib1.bibx52"><label>Rosenlof(1995)</label><mixed-citation>Rosenlof, K. H.: Seasonal cycle of the residual mean meridional
circulation
in the stratosphere, J. Geophys. Res., 100, 5173–5192,
<ext-link xlink:href="http://dx.doi.org/10.1029/94JD03122" ext-link-type="DOI">10.1029/94JD03122</ext-link>, 1995.</mixed-citation></ref>
      <ref id="bib1.bibx53"><label>Santer et al.(2008)Santer, Thorne, Haimberger, Taylor, Wigley,
Lanzante, Solomon, Free, Gleckler, Jones et al.</label><mixed-citation>
Santer, B. D., Thorne, P. W., Haimberger, L., Taylor, K. E., Wigley, T. M.
L., Lanzante, J. R., Solomon, S., Free, M., Gleckler, P. J., Jones, P. D.,
and Karl, T. R.: Consistency of
modelled and observed temperature trends in the tropical troposphere,
Int. J. Climatol., 28, 1703–1722, 2008.</mixed-citation></ref>
      <ref id="bib1.bibx54"><label>Shepherd and McLandress(2011)</label><mixed-citation>
Shepherd, T. G. and McLandress, C.: A robust mechanism for strengthening of
the
Brewer-Dobson circulation in response to climate change: critical-layer
control of subtropical wave breaking, J. Atmos. Sci.,
68, 784–797, 2011.</mixed-citation></ref>
      <ref id="bib1.bibx55"><label>SPARC-CCMVal(2010)</label><mixed-citation>SPARC-CCMVal: SPARC Report on the Evaluation of Chemistry-Climate Models,
SPARC Report, 5, WCRP-132, WMO/TD-No. 1526, available at:
<uri>http://www.sparc-climate.org/publications/sparc-reports/sparc-report-no5/</uri>
(last access: 21 January 2017), 2010.</mixed-citation></ref>
      <ref id="bib1.bibx56"><label>Stiller et al.(2008)Stiller, Clarmann, Höpfner, Glatthor,
Grabowski, Kellmann, Kleinert, Linden, Milz, Reddmann et al.</label><mixed-citation>Stiller, G. P., von Clarmann, T., Höpfner, M., Glatthor, N., Grabowski,
U., Kellmann, S., Kleinert, A., Linden, A., Milz, M., Reddmann, T., Steck,
T., Fischer, H., Funke, B., López-Puertas, M., and Engel, A.: Global
distribution of mean age of stratospheric air from MIPAS SF6 measurements,
Atmos. Chem. Phys., 8, 677–695, <ext-link xlink:href="http://dx.doi.org/10.5194/acp-8-677-2008" ext-link-type="DOI">10.5194/acp-8-677-2008</ext-link>, 2008.</mixed-citation></ref>
      <ref id="bib1.bibx57"><label>Stiller et al.(2012)Stiller, Clarmann, Haenel, Funke, Glatthor,
Grabowski, Kellmann, Kiefer, Linden, Lossow et al.</label><mixed-citation>Stiller, G. P., von Clarmann, T., Haenel, F., Funke, B., Glatthor, N.,
Grabowski, U., Kellmann, S., Kiefer, M., Linden, A., Lossow, S., and
López-Puertas, M.: Observed temporal evolution of global mean age of
stratospheric air for the 2002 to 2010 period, Atmos. Chem. Phys., 12,
3311–3331, <ext-link xlink:href="http://dx.doi.org/10.5194/acp-12-3311-2012" ext-link-type="DOI">10.5194/acp-12-3311-2012</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bibx58"><label>Strahan et al.(2009)Strahan, Schoeberl, and Steenrod</label><mixed-citation>Strahan, S. E., Schoeberl, M. R., and Steenrod, S. D.: The impact of tropical
recirculation on polar composition, Atmos. Chem. Phys., 9, 2471–2480,
<ext-link xlink:href="http://dx.doi.org/10.5194/acp-9-2471-2009" ext-link-type="DOI">10.5194/acp-9-2471-2009</ext-link>, 2009.</mixed-citation></ref>
      <ref id="bib1.bibx59"><label>Ueyama et al.(2013)Ueyama, Gerber, Wallace, and Frierson</label><mixed-citation>Ueyama, R., Gerber, E. P., Wallace, J. M., and Frierson, D. M.: The role of
high-latitude waves in the intraseasonal to seasonal variability of tropical
upwelling in the Brewer–Dobson circulation, J. Atmos.
Sci., 70, 1631–1648, <ext-link xlink:href="http://dx.doi.org/10.1175/JAS-D-12-0174.1" ext-link-type="DOI">10.1175/JAS-D-12-0174.1</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bibx60"><label>Waugh(2009)</label><mixed-citation>Waugh, D.: Atmospheric dynamics: The age of stratospheric air, Nat.
Geosci., 2, 14–16, <ext-link xlink:href="http://dx.doi.org/10.1038/ngeo397" ext-link-type="DOI">10.1038/ngeo397</ext-link>, 2009.</mixed-citation></ref>
      <ref id="bib1.bibx61"><label>Waugh and Hall(2002)</label><mixed-citation>
Waugh, D. and Hall, T.: Age of stratospheric air: Theory, observations, and
models, Rev. Geophys., 40, 1–1, 2002.</mixed-citation></ref>
      <ref id="bib1.bibx62"><label>World Meteorological Organization(2011)</label><mixed-citation>
World Meteorological Organization: Scientific Assessment of Ozone
Depletion:
2010, Global Ozone Research and Monitoring Project Rep. No. 52, 2011.</mixed-citation></ref>
      <ref id="bib1.bibx63"><label>World Meteorological Organization(2014)</label><mixed-citation>
World Meteorological Organization: Scientific Assessment of Ozone
Depletion:
2014, Global Ozone Research and Monitoring Project Rep. No. 55, 2014.</mixed-citation></ref>

  </ref-list><app-group content-type="float"><app><title/>

    </app></app-group></back>
    <!--<article-title-html>Time-varying changes in the simulated structure of the Brewer–Dobson Circulation</article-title-html>
<abstract-html><p class="p">A series of simulations using the NASA Goddard Earth Observing System
Chemistry Climate Model are analyzed in order to assess changes in the
Brewer–Dobson Circulation (BDC) over the past 55 years. When trends are
computed over the past 55 years, the BDC accelerates throughout the
stratosphere, consistent with previous modeling results. However, over the
second half of the simulations (i.e., since the late 1980s), the model
simulates structural changes in the BDC as the temporal evolution of the BDC
varies between regions in the stratosphere. In the mid-stratosphere in the
midlatitude Northern Hemisphere, the BDC does not accelerate in the ensemble
mean of our simulations despite increases in greenhouse gas concentrations
and warming sea surface temperatures, and it even decelerates in one ensemble
member. This deceleration is reminiscent of changes inferred from satellite
instruments and in situ measurements. In contrast, the BDC in the lower
stratosphere continues to accelerate. The main forcing agents for the recent
slowdown in the mid-stratosphere appear to be declining ozone-depleting
substance (ODS) concentrations and the timing of volcanic eruptions. Changes
in both mean age of air and the tropical
upwelling of the residual circulation indicate a lack of recent acceleration.
We therefore clarify that the statement that is often made that climate
models simulate a decreasing age throughout the stratosphere only applies
over long time periods and is not necessarily the case for the past 25 years,
when most tracer measurements were taken.</p></abstract-html>
<ref-html id="bib1.bib1"><label>Abalos et al.(2014)Abalos, Randel, and Serrano</label><mixed-citation>
Abalos, M., Randel, W. J., and Serrano, E.: Dynamical forcing of subseasonal
variability in the tropical Brewer–Dobson circulation, J. Atmos. Sci., 71,
3439–3453, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib2"><label>Abalos et al.(2015)Abalos, Legras, Ploeger, and Randel</label><mixed-citation>
Abalos, M., Legras, B., Ploeger, F., and Randel, W. J.: Evaluating the
advective Brewer-Dobson circulation in three reanalyses for the period
1979–2012, J. Geophys. Res.-Atmos., 120, 7534–7554,
2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib3"><label>Aquila et al.(2016)Aquila, Swartz, Colarco, Pawson, Polvani,
Stolarski, and Waugh</label><mixed-citation>
Aquila, V., Swartz, W. H., Colarco, P. R., Pawson, S., Polvani, L. M.,
Stolarski, R. S., and Waugh, D. W.: Attributing changes in global
stratospheric temperatures using model integrations with incrementally added
single forcings, J. Geophys. Res.-Atmos., 121, 8067–8082,
<a href="http://dx.doi.org/10.1002/2015JD023841" target="_blank">doi:10.1002/2015JD023841</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib4"><label>Aschmann et al.(2014)Aschmann, Burrows, Gebhardt, Rozanov, Hommel,
Weber, and Thompson</label><mixed-citation>
Aschmann, J., Burrows, J. P., Gebhardt, C., Rozanov, A., Hommel, R., Weber,
M., and Thompson, A. M.: On the hiatus in the acceleration of tropical
upwelling since the beginning of the 21st century, Atmos. Chem. Phys., 14,
12803–12814, <a href="http://dx.doi.org/10.5194/acp-14-12803-2014" target="_blank">doi:10.5194/acp-14-12803-2014</a>, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib5"><label>Bönisch et al.(2011)Bönisch, Engel, Birner, Hoor, Tarasick,
and Ray</label><mixed-citation>
Bönisch, H., Engel, A., Birner, Th., Hoor, P., Tarasick, D. W., and Ray,
E. A.: On the structural changes in the Brewer-Dobson circulation after 2000,
Atmos. Chem. Phys., 11, 3937–3948, <a href="http://dx.doi.org/10.5194/acp-11-3937-2011" target="_blank">doi:10.5194/acp-11-3937-2011</a>, 2011.
</mixed-citation></ref-html>
<ref-html id="bib1.bib6"><label>Butchart(2014)</label><mixed-citation>
Butchart, N.: The Brewer-Dobson circulation, Rev. Geophys., 52, 157–184,
<a href="http://dx.doi.org/10.1002/2013RG000448" target="_blank">doi:10.1002/2013RG000448</a>, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib7"><label>Butchart and Scaife(2001)</label><mixed-citation>
Butchart, N. and Scaife, A. A.: Removal of chlorofluorocarbons by increased
mass exchange between the stratosphere and troposphere in a changing climate,
Nature, 410, 799–802, <a href="http://dx.doi.org/10.1038/35071047" target="_blank">doi:10.1038/35071047</a>, 2001.
</mixed-citation></ref-html>
<ref-html id="bib1.bib8"><label>Butchart et al.(2006)Butchart, Scaife, Bourqui, de Grandpre, Hare,
Kettleborough, Langematz, Manzini, Sassi, Shibata, Shindell, and
Sigmond</label><mixed-citation>
Butchart, N., Scaife, A. A., Bourqui, M., de Grandpre, J., Hare, S. H. E.,
Kettleborough, J., Langematz, U., Manzini, E., Sassi, F., Shibata, K.,
Shindell, D., and Sigmond, M.: Simulations of anthropogenic change in the
strength of the Brewer-Dobson circulation, Clim. Dynam., 27, 727–741,
<a href="http://dx.doi.org/10.1007/s00382-006-0162-4" target="_blank">doi:10.1007/s00382-006-0162-4</a>, 2006.
</mixed-citation></ref-html>
<ref-html id="bib1.bib9"><label>Butchart et al.(2010)Butchart, Cionni, Eyring, Shepherd, Waugh,
Akiyoshi, Austin, Brühl, Chipperfield, Cordero et al.</label><mixed-citation>
Butchart, N., Cionni, I., Eyring, V., Shepherd, T. G., Waugh, D. W.,
Akiyoshi, H., Austin, J., Brühl, C., Chipperfield, M. P., Cordero, E.,
and Dameris, M.:
Chemistry-climate model simulations of twenty-first century stratospheric
climate and circulation changes, J. Climate, 23, 5349–5374,
<a href="http://dx.doi.org/10.1175/2010JCLI3404.1" target="_blank">doi:10.1175/2010JCLI3404.1</a>, 2010.
</mixed-citation></ref-html>
<ref-html id="bib1.bib10"><label>Carn et al.(2015)Carn, Yang, Prata, and Krotkov</label><mixed-citation>
Carn, S., Yang, K., Prata, A., and Krotkov, N.: Extending the long-term
record
of volcanic SO<sub>2</sub> emissions with the Ozone Mapping and Profiler Suite nadir
mapper, Geophys. Res. Lett., 42, 925–932,
<a href="http://dx.doi.org/10.1002/2014GL062437" target="_blank">doi:10.1002/2014GL062437</a>, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib11"><label>Chen and Held(2007)</label><mixed-citation>
Chen, G. and Held, I. M.: Phase speed spectra and the recent poleward
shift of Southern Hemisphere surface westerlies, Geophys. Res. Lett., 34,
L21805, <a href="http://dx.doi.org/10.1029/2007GL031200" target="_blank">doi:10.1029/2007GL031200</a>, 2007.
</mixed-citation></ref-html>
<ref-html id="bib1.bib12"><label>Colarco et al.(2010)Colarco, da Silva, Chin, and Diehl</label><mixed-citation>
Colarco, P., da Silva, A., Chin, M., and Diehl, T.: Online simulations of
global aerosol distributions in the NASA GEOS-4 model and comparisons to
satellite and ground-based aerosol optical depth, J. Geophys.
Res.-Atmos., 115, D14207, <a href="http://dx.doi.org/10.1029/2009JD012820" target="_blank">doi:10.1029/2009JD012820</a>, 2010.
</mixed-citation></ref-html>
<ref-html id="bib1.bib13"><label>Deser and Phillips(2009)</label><mixed-citation>
Deser, C. and Phillips, A. S.: Atmospheric circulation trends, 1950–2000:
The
relative roles of sea surface temperature forcing and direct atmospheric
radiative forcing, J. Climate, 22, 396–413,
<a href="http://dx.doi.org/10.1175/2008JCLI2453.1" target="_blank">doi:10.1175/2008JCLI2453.1</a>, 2009.
</mixed-citation></ref-html>
<ref-html id="bib1.bib14"><label>Diallo et al.(2012)Diallo, Legras, and Chédin</label><mixed-citation>
Diallo, M., Legras, B., and Chédin, A.: Age of stratospheric air in the
ERA-Interim, Atmos. Chem. Phys., 12, 12133–12154,
<a href="http://dx.doi.org/10.5194/acp-12-12133-2012" target="_blank">doi:10.5194/acp-12-12133-2012</a>, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib15"><label>Diehl et al.(2012)Diehl, Heil, Chin, Pan, Streets, Schultz, and
Kinne</label><mixed-citation>
Diehl, T., Heil, A., Chin, M., Pan, X., Streets, D., Schultz, M., and Kinne,
S.: Anthropogenic, biomass burning, and volcanic emissions of black carbon,
organic carbon, and SO<sub>2</sub> from 1980 to 2010 for hindcast model experiments,
Atmos. Chem. Phys. Discuss., 12, 24895–24954,
<a href="http://dx.doi.org/10.5194/acpd-12-24895-2012" target="_blank">doi:10.5194/acpd-12-24895-2012</a>, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib16"><label>Engel et al.(2009)Engel, Möbius, Bönisch, Schmidt, Heinz,
Levin, Atlas, Aoki, Nakazawa, Sugawara et al.</label><mixed-citation>
Engel, A., Möbius, T., Bönisch, H., Schmidt, U., Heinz, R., Levin,
I., Atlas, E., Aoki, S., Nakazawa, T., Sugawara, S., and Moore, F.: Age of
stratospheric
air unchanged within uncertainties over the past 30 years, Nat. Geosci.,
2, 28–31, <a href="http://dx.doi.org/10.1038/ngeo388" target="_blank">doi:10.1038/ngeo388</a>, 2009.
</mixed-citation></ref-html>
<ref-html id="bib1.bib17"><label>Eyring et al.(2006)Eyring, Butchart, Waugh, Akiyoshi,
Austin, Bekki, Bodeker, Boville, Brühl, Chipperfield,
Cordero, Dameris, Deushi, Fioletov, Frith, Garcia, Gettelman,
Giorgetta, Grewe, Jourdain, Kinnison, Mancini, Manzini,
Marchand, Marsh, Nagashima, Newman, Nielsen, Pawson, Pitari,
Plummer, Rozanov, Schraner, Shepherd, Shibata, Stolarski,
Struthers, Tian, and Yoshiki</label><mixed-citation>
Eyring, V., Butchart, N., Waugh, D. W., Akiyoshi, H., Austin, J.,
Bekki, S., Bodeker, G. E., Boville, B. A., Brühl, C.,
Chipperfield, M. P., Cordero, E., Dameris, M., Deushi, M.,
Fioletov, V. E., Frith, S. M., Garcia, R. R., Gettelman, A.,
Giorgetta, M. A., Grewe, V., Jourdain, L., Kinnison, D. E.,
Mancini, E., Manzini, E., Marchand, M., Marsh, D. R., Nagashima,
T., Newman, P. A., Nielsen, J. E., Pawson, S., Pitari, G., Plummer,
D. A., Rozanov, E., Schraner, M., Shepherd, T. G., Shibata, K.,
Stolarski, R. S., Struthers, H., Tian, W., and Yoshiki, M.:
Assessment of temperature, trace species, and ozone in chemistry-climate
model simulations of the recent past, J. Geophys. Res.-Atmos., 111, D22308, <a href="http://dx.doi.org/10.1029/2006JD007327" target="_blank">doi:10.1029/2006JD007327</a>, 2006.
</mixed-citation></ref-html>
<ref-html id="bib1.bib18"><label>Garcia and Randel(2008)</label><mixed-citation>
Garcia, R. R. and Randel, W. J.: Acceleration of the Brewer–Dobson
Circulation
due to Increases in Greenhouse Gases, J. Atmos. Sci., 65, 2731–2739, 2008.
</mixed-citation></ref-html>
<ref-html id="bib1.bib19"><label>Garcia et al.(2011)Garcia, Randel, and Kinnison</label><mixed-citation>
Garcia, R. R., Randel, W. J., and Kinnison, D. E.: On the determination of
age
of air trends from atmospheric trace species, J. Atmos.
Sci., 68, 139–154, <a href="http://dx.doi.org/10.1175/2010JAS3527.1" target="_blank">doi:10.1175/2010JAS3527.1</a>, 2011.
</mixed-citation></ref-html>
<ref-html id="bib1.bib20"><label>Garfinkel et al.(2013)Garfinkel, Waugh, and Gerber</label><mixed-citation>
Garfinkel, C. I., Waugh, D. W., and Gerber, E. P.: The Effect of Tropospheric
Jet Latitude on Coupling between the Stratospheric Polar Vortex and the
Troposphere, J. Climate, 26, 2077–2095, <a href="http://dx.doi.org/10.1175/JCLI-D-12-00301.1" target="_blank">doi:10.1175/JCLI-D-12-00301.1</a>, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib21"><label>Garfinkel et al.(2015)Garfinkel, Hurwitz, and Oman</label><mixed-citation>
Garfinkel, C. I., Hurwitz, M. M., and Oman, L. D.: Effect of Recent Sea
Surface Temperature Trends on the Arctic Stratospheric Vortex, J. Geophys.
Res., 120, 5404–5416, <a href="http://dx.doi.org/10.1002/2015JD023284" target="_blank">doi:10.1002/2015JD023284</a>, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib22"><label>Gerber(2012)</label><mixed-citation>
Gerber, E. P.: Stratospheric versus Tropospheric Control of the Strength and
Structure of the Brewer–Dobson Circulation, J. Atmos. Sci., 69, 2857–2877,
<a href="http://dx.doi.org/10.1175/JAS-D-11-0341.1" target="_blank">doi:10.1175/JAS-D-11-0341.1</a>, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib23"><label>Granier et al.(2011)</label><mixed-citation>
Granier, C., Bessagnet, B., Bond, T., D'Angiola, A., van Der Gon, H. D.,
Frost, G. J., Heil, A., Kaiser, J. W., Kinne, S., Klimont, Z., and Kloster,
S.:
Evolution of anthropogenic and biomass burning emissions of air pollutants at
global and regional scales during the 1980–2010 period, Climatic Change,
109, 163–190, <a href="http://dx.doi.org/10.1007/s10584-011-0154-1" target="_blank">doi:10.1007/s10584-011-0154-1</a>, 2011.
</mixed-citation></ref-html>
<ref-html id="bib1.bib24"><label>Haenel et al.(2015)Haenel, Stiller, von Clarmann, Funke, Eckert,
Glatthor, Grabowski, Kellmann, Kiefer, Linden et al.</label><mixed-citation>
Haenel, F. J., Stiller, G. P., von Clarmann, T., Funke, B., Eckert, E.,
Glatthor, N., Grabowski, U., Kellmann, S., Kiefer, M., Linden, A., and
Reddmann, T.: Reassessment of MIPAS age of air trends and variability, Atmos.
Chem. Phys., 15, 13161–13176, <a href="http://dx.doi.org/10.5194/acp-15-13161-2015" target="_blank">doi:10.5194/acp-15-13161-2015</a>, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib25"><label>Haynes et al.(1991)Haynes, McIntyre, Shepherd, Marks, and
Shine</label><mixed-citation>
Haynes, P. H., McIntyre, M. E., Shepherd, T. G., Marks, C. J., and
Shine, K. P.: On the “Downward Control” of Extratropical Diabatic
Circulations by Eddy-Induced Mean Zonal Forces, J. Atmos.
Sci., 48, 651–680, <a href="http://dx.doi.org/10.1175/1520-0469(1991)048&lt;0651:OTCOED&gt;2.0.CO;2" target="_blank">doi:10.1175/1520-0469(1991)048&lt;0651:OTCOED&gt;2.0.CO;2</a>, 1991.
</mixed-citation></ref-html>
<ref-html id="bib1.bib26"><label>Hegglin et al.(2014)Hegglin, Plummer, Shepherd, Scinocca, Anderson,
Froidevaux, Funke, Hurst, Rozanov, Urban et al.</label><mixed-citation>
Hegglin, M. I., Plummer, D. A., Shepherd, T. G., Scinocca, J. F., Anderson,
J., Froidevaux, L., Funke, B., Hurst, D., Rozanov, A., Urban, J., and Von
Clarmann, T.: Vertical structure
of stratospheric water vapour trends derived from merged satellite data,
Nat. Geosci., 7, 768–776, <a href="http://dx.doi.org/10.1038/ngeo2236" target="_blank">doi:10.1038/ngeo2236</a>, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib27"><label>Holton et al.(1995)Holton, Haynes, McIntyre, Douglass, Rood, and
Pfister</label><mixed-citation>
Holton, J. R., Haynes, P. H., McIntyre, M. E., Douglass, A. R., Rood, R. B.,
and Pfister, L.: Stratosphere-troposphere exchange, Rev. Geophys.,
33, 403–439, <a href="http://dx.doi.org/10.1029/95RG02097" target="_blank">doi:10.1029/95RG02097</a>, 1995.
</mixed-citation></ref-html>
<ref-html id="bib1.bib28"><label>Lean(2000)</label><mixed-citation>
Lean, J.: Evolution of the Sun's spectral irradiance since the Maunder
Minimum, Geophys. Res. Lett., 27, 2425–2428, <a href="http://dx.doi.org/10.1029/2000GL000043" target="_blank">doi:10.1029/2000GL000043</a>,
2000.
</mixed-citation></ref-html>
<ref-html id="bib1.bib29"><label>Li et al.(2008)Li, Austin, and Wilson</label><mixed-citation>
Li, F., Austin, J., and Wilson, J.: The Strength of the Brewer Dobson
Circulation in a Changing Climate: Coupled Chemistry Climate Model
Simulations, J. Climate, 21, 40–57, <a href="http://dx.doi.org/10.1175/2007JCLI1663.1" target="_blank">doi:10.1175/2007JCLI1663.1</a>, 2008.
</mixed-citation></ref-html>
<ref-html id="bib1.bib30"><label>Li et al.(2012)Li, Waugh, Douglass, Newman, Strahan, Ma, Nielsen, and
Liang</label><mixed-citation>
Li, F., Waugh, D. W., Douglass, A. R., Newman, P. A., Strahan, S. E., Ma, J.,
Nielsen, J. E., and Liang, Q.: Long-term changes in stratospheric age spectra
in the 21st century in the Goddard Earth Observing System Chemistry-Climate
Model (GEOSCCM), J. Geophys. Res.-Atmos.,
117, D20119, <a href="http://dx.doi.org/10.1029/2012JD017905" target="_blank">doi:10.1029/2012JD017905</a>, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib31"><label>Lin and Fu(2013)</label><mixed-citation>
Lin, P. and Fu, Q.: Changes in various branches of the Brewer–Dobson
circulation from an ensemble of chemistry climate models, J.
Geophys. Res.-Atmos., 118, 73–84, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib32"><label>Lin et al.(2015)Lin, Ming, and Ramaswamy</label><mixed-citation>
Lin, P., Ming, Y., and Ramaswamy, V.: Tropical climate change control of the
lower stratospheric circulation, Geophys. Res. Lett., 42, 941–948,
2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib33"><label>Manzini et al.(2014)Manzini, Karpechko, Anstey, Baldwin, Black,
Cagnazzo, Calvo, Charlton-Perez, Christiansen, Davini et al.</label><mixed-citation>
Manzini, E., Karpechko, A. Y., Anstey, J., Baldwin, M. P., Black, R. X.,
Cagnazzo, C., Calvo, N., Charlton-Perez, A., Christiansen, B., Davini, P.,
and Gerber, E.:
Northern winter climate change: Assessment of uncertainty in CMIP5
projections related to stratosphere-troposphere coupling, J.
Geophys. Res.-Atmos., 119, 7979–7998, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib34"><label>McLandress et al.(2010)McLandress, Jonsson, Plummer, Reader,
Scinocca, and Shepherd</label><mixed-citation>
McLandress, C., Jonsson, A. I., Plummer, D. A., Reader, M. C., Scinocca,
J. F.,
and Shepherd, T. G.: Separating the dynamical effects of climate change and
ozone depletion. Part I: Southern Hemisphere stratosphere, J.
Climate, 23, 5002–5020, <a href="http://dx.doi.org/10.1175/2010JCLI3586.1" target="_blank">doi:10.1175/2010JCLI3586.1</a>, 2010.
</mixed-citation></ref-html>
<ref-html id="bib1.bib35"><label>Meinshausen et al.(2011)Meinshausen, Smith, Calvin, Daniel, Kainuma,
Lamarque, Matsumoto, Montzka, Raper, Riahi et al.</label><mixed-citation>
Meinshausen, M., Smith, S. J., Calvin, K., Daniel, J. S., Kainuma, M. L. T.,
Lamarque, J. F., Matsumoto, K., Montzka, S. A., Raper, S. C. B., Riahi, K.,
and Thomson, A. G. J. M. V.: The
RCP greenhouse gas concentrations and their extensions from 1765 to 2300,
Climatic change, 109, 213–241, 2011.
</mixed-citation></ref-html>
<ref-html id="bib1.bib36"><label>Molod et al.(2012)Molod, Takacs, Suarez, Bacmeister, Song, and
Eichmann</label><mixed-citation>
Molod, A., Takacs, L., Suarez, M., Bacmeister, J., Song, I.-S., and Eichmann,
A.: The GEOS-5 Atmospheric General Circulation Model: Mean Climate and
Development from MERRA to Fortuna, Technical Report Series on Global
Modeling and Data Assimilation, available at:
<a href="https://gmao.gsfc.nasa.gov/pubs/docs/Molod484.pdf" target="_blank">https://gmao.gsfc.nasa.gov/pubs/docs/Molod484.pdf</a> (last access:
21 January 2017), 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib37"><label>Monge-Sanz et al.(2013)Monge-Sanz, Chipperfield, Dee, Simmons, and
Uppala</label><mixed-citation>
Monge-Sanz, B., Chipperfield, M., Dee, D., Simmons, A., and Uppala, S.:
Improvements in the stratospheric transport achieved by a chemistry transport
model with ECMWF (re) analyses: identifying effects and remaining challenges,
Q. J. Roy. Meteor. Soc., 139, 654–673, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib38"><label>Muthers et al.(2016)Muthers, Kuchar, Stenke, Schmitt, Anet, Raible,
and Stocker</label><mixed-citation>
Muthers, S., Kuchar, A., Stenke, A., Schmitt, J., Anet, J. G., Raible, C. C.,
and Stocker, T. F.: Stratospheric age of air variations between 1600–2100,
Geophys. Res. Lett., 43, 5409–5418, <a href="http://dx.doi.org/10.1002/2016GL068734" target="_blank">doi:10.1002/2016GL068734</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib39"><label>Newman et al.(2007)Newman, Daniel, Waugh, and Nash</label><mixed-citation>
Newman, P. A., Daniel, J. S., Waugh, D. W., and Nash, E. R.: A new
formulation of equivalent effective stratospheric chlorine (EESC), Atmos.
Chem. Phys., 7, 4537–4552, <a href="http://dx.doi.org/10.5194/acp-7-4537-2007" target="_blank">doi:10.5194/acp-7-4537-2007</a>, 2007.
</mixed-citation></ref-html>
<ref-html id="bib1.bib40"><label>Oberländer-Hayn et al.(2015)Oberländer-Hayn, Meul, Langematz,
Abalichin, and Haenel</label><mixed-citation>
Oberländer-Hayn, S., Meul, S., Langematz, U., Abalichin, J., and Haenel,
F.: A chemistry-climate model study of past changes in the Brewer-Dobson
circulation, J. Geophys. Res.-Atmos., 120, 6742–6757,
<a href="http://dx.doi.org/10.1002/2014JD022843" target="_blank">doi:10.1002/2014JD022843</a>, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib41"><label>Oman et al.(2009)Oman, Waugh, Pawson, Stolarski, and
Newman</label><mixed-citation>
Oman, L., Waugh, D. W., Pawson, S., Stolarski, R. S., and Newman, P. A.: On
the
influence of anthropogenic forcings on changes in the stratospheric mean age,
J. Geophys. Res.-Atmos., 114, D03105,
<a href="http://dx.doi.org/10.1029/2008JD010378" target="_blank">doi:10.1029/2008JD010378</a>, 2009.
</mixed-citation></ref-html>
<ref-html id="bib1.bib42"><label>Oman and Douglass(2014)</label><mixed-citation>
Oman, L. D. and Douglass, A. R.: Improvements in total column ozone in
GEOSCCM and comparisons with a new ozone-depleting substances scenario, J.
Geophys. Res.-Atmos., 119, 5613–5624, <a href="http://dx.doi.org/10.1002/2014JD021590" target="_blank">doi:10.1002/2014JD021590</a>, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib43"><label>Pawson et al.(2008)Pawson, Stolarski, Douglass, Newman,
Nielsen, Frith, and Gupta</label><mixed-citation>
Pawson, S., Stolarski, R. S., Douglass, A. R., Newman, P. A.,
Nielsen, J. E., Frith, S. M., and Gupta, M. L.: Goddard Earth
Observing System chemistry-climate model simulations of stratospheric
ozone-temperature coupling between 1950 and 2005, J. Geophys.
Res.-Atmos., 113, D12103, <a href="http://dx.doi.org/10.1029/2007JD009511" target="_blank">doi:10.1029/2007JD009511</a>, 2008.
</mixed-citation></ref-html>
<ref-html id="bib1.bib44"><label>Ploeger et al.(2015)Ploeger, Abalos, Birner, Konopka, Legras,
Müller, and Riese</label><mixed-citation>
Ploeger, F., Abalos, M., Birner, T., Konopka, P., Legras, B., Müller, R.,
and Riese, M.: Quantifying the effects of mixing and residual circulation on
trends of stratospheric mean age of air, Geophys. Res. Lett., 42,
2047–2054, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib45"><label>Plumb(2002)</label><mixed-citation>
Plumb, R. A.: Stratospheric transport, J. Meteorol. Soc. Jpn., 80, 793–809,
<a href="http://dx.doi.org/10.2151/jmsj.80.793" target="_blank">doi:10.2151/jmsj.80.793</a>, 2002.
</mixed-citation></ref-html>
<ref-html id="bib1.bib46"><label>Polvani et al.(2017)Polvani, Wang, Aquila, and Waugh</label><mixed-citation>
Polvani, L., Wang, L., Aquila, V., and Waugh, D.: The impact of ozone
depleting
substances on tropical upwelling, as revealed by the absence of cooling
trends since the late 1990ss, J. Climate, in press, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib47"><label>Ray et al.(2010)Ray, Moore, Rosenlof, Davis, Boenisch, Morgenstern,
Smale, Rozanov, Hegglin, Pitari et al.</label><mixed-citation>
Ray, E. A., Moore, F. L., Rosenlof, K. H., Davis, S. M., Boenisch, H.,
Morgenstern, O., Smale, D., Rozanov, E., Hegglin, M., Pitari, G., and
Mancini, E.:
Evidence for changes in stratospheric transport and mixing over the past
three decades based on multiple data sets and tropical leaky pipe analysis,
J. Geophys. Res.-Atmos., 115, D21304,
<a href="http://dx.doi.org/10.1029/2010JD014206" target="_blank">doi:10.1029/2010JD014206</a>, 2010.
</mixed-citation></ref-html>
<ref-html id="bib1.bib48"><label>Ray et al.(2014)Ray, Moore, Rosenlof, Davis, Sweeney, Tans, Wang,
Elkins, Bönisch, Engel et al.</label><mixed-citation>
Ray, E. A., Moore, F. L., Rosenlof, K. H., Davis, S. M., Sweeney, C., Tans,
P., Wang, T., Elkins, J. W., Bönisch, H., Engel, A., and Sugawara, S.:
Improving stratospheric transport trend analysis based on SF6 and CO<sub>2</sub>
measurements, J. Geophys. Res.-Atmos., 119, 14–110, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib49"><label>Rayner et al.(2006)Rayner, Brohan, Parker, Folland, Kennedy, Vanicek,
Ansell, and Tett</label><mixed-citation>
Rayner, N., Brohan, P., Parker, D., Folland, C., Kennedy, J., Vanicek, M.,
Ansell, T., and Tett, S.: Improved analyses of changes and uncertainties in
sea surface temperature measured in situ since the mid-nineteenth century:
The HadSST2 dataset, J. Climate, 19, 446–469,
<a href="http://dx.doi.org/10.1175/JCLI3637.1" target="_blank">doi:10.1175/JCLI3637.1</a>, 2006.
</mixed-citation></ref-html>
<ref-html id="bib1.bib50"><label>Reynolds et al.(2002)Reynolds, Rayner, Smith, Stokes, and
Wang</label><mixed-citation>
Reynolds, R. W., Rayner, N. A., Smith, T. M., Stokes, D. C., and Wang, W.: An
improved in situ and satellite SST analysis for climate, J. Climate,
15, 1609–1625, <a href="http://dx.doi.org/10.1175/1520-0442(2002)015&lt;1609:AIISAS&gt;2.0.CO;2" target="_blank">doi:10.1175/1520-0442(2002)015&lt;1609:AIISAS&gt;2.0.CO;2</a>, 2002.

</mixed-citation></ref-html>
<ref-html id="bib1.bib51"><label>Rienecker et al.(2008)</label><mixed-citation>
Rienecker, M. M., Suarez, M. J., Todling, R., Bacmeister, J., Takacs, L.,
Liu, H.-C., Gu, W., Sienkiewicz, M., Koster, R. D., Gelaro, R., Stajner, I.,
and Nielsen, J. E.: The GEOS-5 Data Assimilation System – Documentation of
Versions 5.0.1, 5.1.0, and 5.2.0, Technical Report Series on Global Modeling
and Data Assimilation, 27,
<a href="http://gmao.gsfc.nasa.gov/pubs/docs/Rienecker369.pdf" target="_blank">http://gmao.gsfc.nasa.gov/pubs/docs/Rienecker369.pdf</a> (last access:
21 January 2017), 2008.
</mixed-citation></ref-html>
<ref-html id="bib1.bib52"><label>Rosenlof(1995)</label><mixed-citation>
Rosenlof, K. H.: Seasonal cycle of the residual mean meridional
circulation
in the stratosphere, J. Geophys. Res., 100, 5173–5192,
<a href="http://dx.doi.org/10.1029/94JD03122" target="_blank">doi:10.1029/94JD03122</a>, 1995.
</mixed-citation></ref-html>
<ref-html id="bib1.bib53"><label>Santer et al.(2008)Santer, Thorne, Haimberger, Taylor, Wigley,
Lanzante, Solomon, Free, Gleckler, Jones et al.</label><mixed-citation>
Santer, B. D., Thorne, P. W., Haimberger, L., Taylor, K. E., Wigley, T. M.
L., Lanzante, J. R., Solomon, S., Free, M., Gleckler, P. J., Jones, P. D.,
and Karl, T. R.: Consistency of
modelled and observed temperature trends in the tropical troposphere,
Int. J. Climatol., 28, 1703–1722, 2008.
</mixed-citation></ref-html>
<ref-html id="bib1.bib54"><label>Shepherd and McLandress(2011)</label><mixed-citation>
Shepherd, T. G. and McLandress, C.: A robust mechanism for strengthening of
the
Brewer-Dobson circulation in response to climate change: critical-layer
control of subtropical wave breaking, J. Atmos. Sci.,
68, 784–797, 2011.
</mixed-citation></ref-html>
<ref-html id="bib1.bib55"><label>SPARC-CCMVal(2010)</label><mixed-citation>
SPARC-CCMVal: SPARC Report on the Evaluation of Chemistry-Climate Models,
SPARC Report, 5, WCRP-132, WMO/TD-No. 1526, available at:
<a href="http://www.sparc-climate.org/publications/sparc-reports/sparc-report-no5/" target="_blank">http://www.sparc-climate.org/publications/sparc-reports/sparc-report-no5/</a>
(last access: 21 January 2017), 2010.
</mixed-citation></ref-html>
<ref-html id="bib1.bib56"><label>Stiller et al.(2008)Stiller, Clarmann, Höpfner, Glatthor,
Grabowski, Kellmann, Kleinert, Linden, Milz, Reddmann et al.</label><mixed-citation>
Stiller, G. P., von Clarmann, T., Höpfner, M., Glatthor, N., Grabowski,
U., Kellmann, S., Kleinert, A., Linden, A., Milz, M., Reddmann, T., Steck,
T., Fischer, H., Funke, B., López-Puertas, M., and Engel, A.: Global
distribution of mean age of stratospheric air from MIPAS SF6 measurements,
Atmos. Chem. Phys., 8, 677–695, <a href="http://dx.doi.org/10.5194/acp-8-677-2008" target="_blank">doi:10.5194/acp-8-677-2008</a>, 2008.
</mixed-citation></ref-html>
<ref-html id="bib1.bib57"><label>Stiller et al.(2012)Stiller, Clarmann, Haenel, Funke, Glatthor,
Grabowski, Kellmann, Kiefer, Linden, Lossow et al.</label><mixed-citation>
Stiller, G. P., von Clarmann, T., Haenel, F., Funke, B., Glatthor, N.,
Grabowski, U., Kellmann, S., Kiefer, M., Linden, A., Lossow, S., and
López-Puertas, M.: Observed temporal evolution of global mean age of
stratospheric air for the 2002 to 2010 period, Atmos. Chem. Phys., 12,
3311–3331, <a href="http://dx.doi.org/10.5194/acp-12-3311-2012" target="_blank">doi:10.5194/acp-12-3311-2012</a>, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib58"><label>Strahan et al.(2009)Strahan, Schoeberl, and Steenrod</label><mixed-citation>
Strahan, S. E., Schoeberl, M. R., and Steenrod, S. D.: The impact of tropical
recirculation on polar composition, Atmos. Chem. Phys., 9, 2471–2480,
<a href="http://dx.doi.org/10.5194/acp-9-2471-2009" target="_blank">doi:10.5194/acp-9-2471-2009</a>, 2009.
</mixed-citation></ref-html>
<ref-html id="bib1.bib59"><label>Ueyama et al.(2013)Ueyama, Gerber, Wallace, and Frierson</label><mixed-citation>
Ueyama, R., Gerber, E. P., Wallace, J. M., and Frierson, D. M.: The role of
high-latitude waves in the intraseasonal to seasonal variability of tropical
upwelling in the Brewer–Dobson circulation, J. Atmos.
Sci., 70, 1631–1648, <a href="http://dx.doi.org/10.1175/JAS-D-12-0174.1" target="_blank">doi:10.1175/JAS-D-12-0174.1</a>, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib60"><label>Waugh(2009)</label><mixed-citation>
Waugh, D.: Atmospheric dynamics: The age of stratospheric air, Nat.
Geosci., 2, 14–16, <a href="http://dx.doi.org/10.1038/ngeo397" target="_blank">doi:10.1038/ngeo397</a>, 2009.
</mixed-citation></ref-html>
<ref-html id="bib1.bib61"><label>Waugh and Hall(2002)</label><mixed-citation>
Waugh, D. and Hall, T.: Age of stratospheric air: Theory, observations, and
models, Rev. Geophys., 40, 1–1, 2002.
</mixed-citation></ref-html>
<ref-html id="bib1.bib62"><label>World Meteorological Organization(2011)</label><mixed-citation>
World Meteorological Organization: Scientific Assessment of Ozone
Depletion:
2010, Global Ozone Research and Monitoring Project Rep. No. 52, 2011.
</mixed-citation></ref-html>
<ref-html id="bib1.bib63"><label>World Meteorological Organization(2014)</label><mixed-citation>
World Meteorological Organization: Scientific Assessment of Ozone
Depletion:
2014, Global Ozone Research and Monitoring Project Rep. No. 55, 2014.
</mixed-citation></ref-html>--></article>
