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  <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-19-4763-2019</article-id><title-group><article-title>BVOC–aerosol–climate feedbacks investigated using NorESM</article-title><alt-title>BVOC–aerosol–climate feedbacks investigated using NorESM</alt-title>
      </title-group><?xmltex \runningtitle{BVOC--aerosol--climate feedbacks investigated using NorESM}?><?xmltex \runningauthor{M.~K. Sporre et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Sporre</surname><given-names>Moa K.</given-names></name>
          <email>m.k.sporre@geo.uio.no</email>
        <ext-link>https://orcid.org/0000-0002-9240-5114</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Blichner</surname><given-names>Sara M.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-9055-5330</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Karset</surname><given-names>Inger H. H.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2 aff3">
          <name><surname>Makkonen</surname><given-names>Risto</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff4">
          <name><surname>Berntsen</surname><given-names>Terje K.</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>Department of Geosciences, University of Oslo, Oslo, Norway</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Climate System Research, Finnish Meteorological Institute, P.O. Box
503, Helsinki, Finland</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Institute for Atmospheric and Earth
System Research/Physics, Faculty of Science, P.O. Box 64, 00014, <?xmltex \hack{\break}?>University
of Helsinki, Helsinki, Finland</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>CICERO Center for International
Climate Research, Oslo, Norway</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Moa K. Sporre (m.k.sporre@geo.uio.no)</corresp></author-notes><pub-date><day>9</day><month>April</month><year>2019</year></pub-date>
      
      <volume>19</volume>
      <issue>7</issue>
      <fpage>4763</fpage><lpage>4782</lpage>
      <history>
        <date date-type="received"><day>4</day><month>September</month><year>2018</year></date>
           <date date-type="rev-request"><day>10</day><month>October</month><year>2018</year></date>
           <date date-type="rev-recd"><day>22</day><month>February</month><year>2019</year></date>
           <date date-type="accepted"><day>14</day><month>March</month><year>2019</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2019 </copyright-statement>
        <copyright-year>2019</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</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><title>Abstract</title>
    <p id="d1e139">Both higher temperatures and increased <inline-formula><mml:math id="M1" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations are
(separately) expected to increase the emissions of biogenic volatile organic
compounds (BVOCs). This has been proposed to initiate negative climate
feedback mechanisms through increased formation of secondary organic aerosol
(SOA). More SOA can make the clouds more reflective, which can provide a
cooling. Furthermore, the increase in SOA formation has also been proposed to
lead to increased aerosol scattering, resulting in an increase in diffuse
radiation. This could boost gross primary production (GPP) and further
increase BVOC emissions. In this study, we have used the Norwegian Earth
System Model (NorESM) to investigate both these feedback mechanisms. Three
sets of experiments were set up to quantify the feedback with respect to (1) doubling
the <inline-formula><mml:math id="M2" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, (2) increasing temperatures corresponding to a doubling of
<inline-formula><mml:math id="M3" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and (3) the combined effect of both doubling <inline-formula><mml:math id="M4" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and a
warmer climate. For each of these experiments, we ran two simulations, with
identical setups, except for the BVOC emissions. One simulation was run with
interactive BVOC emissions, allowing the BVOC emissions to respond to changes
in <inline-formula><mml:math id="M5" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and/or climate. In the other simulation, the BVOC emissions
were fixed at present-day conditions, essentially turning the feedback off.
The comparison of these two simulations enables us to investigate each step
along the feedback as well as estimate their overall relevance for the future
climate.</p>
    <p id="d1e197">We find that the BVOC feedback can have a significant impact on the climate.
The annual global BVOC emissions are up to 63 % higher when the feedback
is turned on compared to when the feedback is turned off, with the largest
response when both <inline-formula><mml:math id="M6" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and climate are changed. The higher BVOC
levels lead to the formation of more SOA mass (max 53 %) and result in
more particles through increased new particle formation as well as larger
particles through increased condensation. The corresponding changes in the
cloud properties lead to a <inline-formula><mml:math id="M7" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.43</mml:mn></mml:mrow></mml:math></inline-formula> W m<inline-formula><mml:math id="M8" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> stronger net cloud forcing.
This effect becomes about 50 % stronger when the model is run with
reduced anthropogenic aerosol emissions, indicating that the feedback will
become even more important as we decrease aerosol and precursor emissions. We
do not find a boost in GPP due to increased aerosol scattering on a global
scale. Instead, the fate of the GPP seems to be controlled by the BVOC effects
on the clouds. However, the higher aerosol scattering associated with the
higher BVOC emissions is found to also contribute with a potentially
important enhanced negative direct forcing (<inline-formula><mml:math id="M9" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.06</mml:mn></mml:mrow></mml:math></inline-formula> W m<inline-formula><mml:math id="M10" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>). The global
total aerosol forcing associated with the feedback is <inline-formula><mml:math id="M11" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.49</mml:mn></mml:mrow></mml:math></inline-formula> W m<inline-formula><mml:math id="M12" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>,
indicating that it has the potential to offset about 13 % of the forcing
associated with a doubling of <inline-formula><mml:math id="M13" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <?pagebreak page4764?><p id="d1e298">Our climate is warming due to rising atmospheric levels of greenhouse gases
originating from human activities <xref ref-type="bibr" rid="bib1.bibx16" id="paren.1"/>. Feedback mechanisms that
arise from increasing temperatures and/or greenhouse gas concentrations can
enhance or dampen the temperature increase, and contribute to the overall
uncertainty in predicting the future climate. Increased emissions of biogenic
volatile organic compounds (BVOCs) from terrestrial vegetation caused by
increasing temperature and <inline-formula><mml:math id="M14" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> levels have been proposed to induce a
negative climate feedback <xref ref-type="bibr" rid="bib1.bibx25 bib1.bibx26" id="paren.2"/>. Higher BVOC
concentrations result in higher aerosol number and mass concentration, which
cool the climate by inducing changes in cloud properties
<xref ref-type="bibr" rid="bib1.bibx54 bib1.bibx2" id="paren.3"/>. Aerosol particles and their interactions
with clouds and climate constitute one of the largest uncertainties in
assessing our future climate <xref ref-type="bibr" rid="bib1.bibx16" id="paren.4"/>.</p>
      <p id="d1e324">BVOCs are important sources of aerosol particles <xref ref-type="bibr" rid="bib1.bibx10" id="paren.5"/>,
especially in pristine forest regions <xref ref-type="bibr" rid="bib1.bibx53" id="paren.6"/>. The most important
BVOC compounds for aerosol formation are isoprene, monoterpenes and
sesquiterpenes <xref ref-type="bibr" rid="bib1.bibx26" id="paren.7"/>, and their emissions have been estimated
to be 700–1000 Tg C annually <xref ref-type="bibr" rid="bib1.bibx28" id="paren.8"/>. Through
oxidation in the atmosphere, these compounds become less volatile and may
contribute to aerosol formation. The main oxidation agents are OH, <inline-formula><mml:math id="M15" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
and <inline-formula><mml:math id="M16" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> radicals <xref ref-type="bibr" rid="bib1.bibx46" id="paren.9"/>. The oxidation products from
monoterpenes have been found to be particularly important for new particle
formation, while the oxidation products from isoprene have been found to
predominantly participate in condensation onto pre-existing aerosols
<xref ref-type="bibr" rid="bib1.bibx18" id="paren.10"/>. How sensitive the aerosol number concentration is to
changes in BVOC emissions depends on the anthropogenic and natural aerosol
load. It has been shown that the BVOCs had greater influence on the number
and mass concentration in the pre-industrial (PI) atmosphere
<xref ref-type="bibr" rid="bib1.bibx12" id="paren.11"/>. The importance of new particle formation and condensation
from organic vapours to the global aerosol load, cloud formation and climate
has been getting increasing attention over the past 10 years
<xref ref-type="bibr" rid="bib1.bibx10" id="paren.12"/>. However, there are still large uncertainties associated
with these processes and this contributes to the overall uncertainty of
aerosol particles' impact on climate <xref ref-type="bibr" rid="bib1.bibx26" id="paren.13"/>.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1"><?xmltex \currentcnt{1}?><label>Figure 1</label><caption><p id="d1e379">The BVOC feedback driven by
increasing <inline-formula><mml:math id="M17" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and temperature. The upper branch of the feedback is
the T branch, while the lower part is the GPP branch. The red arrows in the
figure indicate that if the variable at the start of the arrow increases,
then the variable at the end of the arrow is also expected to increase. A
blue arrow on the other hand means that an increase in the variable at the
start of the arrow is expected to result in a decrease in the variable at the
end of the arrow. The figure is modified after
<xref ref-type="bibr" rid="bib1.bibx27" id="text.14"/>.</p></caption>
        <?xmltex \igopts{width=184.942913pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/4763/2019/acp-19-4763-2019-f01.png"/>

      </fig>

      <p id="d1e403">In this paper, we investigate the potential climate feedback associated with
increasing BVOC emissions due to rising <inline-formula><mml:math id="M18" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations and
temperature, shown in Fig. <xref ref-type="fig" rid="Ch1.F1"/>. Note that the word “feedback” is
used somewhat differently in this paper compared to traditional climate
science, since not only temperature but also the <inline-formula><mml:math id="M19" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentration is
directly involved in the change in BVOC emissions. The increase in
atmospheric <inline-formula><mml:math id="M20" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> results in increasing temperature but also gross
primary production (GPP) through <inline-formula><mml:math id="M21" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
fertilisation <xref ref-type="bibr" rid="bib1.bibx34" id="paren.15"/>. Higher GPP results in more vegetation that
can produce BVOCs <xref ref-type="bibr" rid="bib1.bibx13" id="paren.16"/>. Increasing temperature also has a
positive effect on the emissions of BVOCs because of the exponential
relationship between BVOC volatility and temperature <xref ref-type="bibr" rid="bib1.bibx26" id="paren.17"/>.
Additionally, rising levels of <inline-formula><mml:math id="M22" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> may have a direct impact on the
BVOC emissions, as isoprene emissions have been found to decrease with
increasing <inline-formula><mml:math id="M23" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> levels <xref ref-type="bibr" rid="bib1.bibx57" id="paren.18"><named-content content-type="pre">e.g.</named-content></xref>, but whether the
same is true for monoterpenes is not yet clear <xref ref-type="bibr" rid="bib1.bibx3" id="paren.19"/>. Higher
concentrations of BVOCs give an
increase in aerosol number concentration (<inline-formula><mml:math id="M24" display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mtext>a</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) since oxidation
products of BVOCs contribute to new
particle formation and early particle growth, as well as more secondary
organic aerosol (SOA) mass due to increased condensation. The feedback loop
then divides into two different branches.</p>
      <p id="d1e504">The upper branch of the feedback loop involves aerosol effects on clouds,
radiation and temperature (the T branch). The increase in SOA contributes
to more cloud condensation nuclei (CCN), both through the formation of more
aerosol particles and through increased condensation, which increases the
diameter of existing particles and makes them large enough to act as seeds
for cloud droplets <xref ref-type="bibr" rid="bib1.bibx25" id="paren.20"/>. The increase in CCN will result in
clouds with a higher cloud droplet number concentration (CDNC) and smaller
droplets leading to a higher cloud albedo <xref ref-type="bibr" rid="bib1.bibx54" id="paren.21"/>. Smaller cloud
droplets can also lead to a delay in the onset of precipitation, which leads
to a longer cloud lifetime <xref ref-type="bibr" rid="bib1.bibx2" id="paren.22"/>. Higher cloud albedo and
longer cloud lifetime lead to decreasing temperature, giving rise to a
negative climate feedback.</p>
      <p id="d1e516">The lower branch of the feedback involves the impact of aerosol particle
scattering on GPP (the GPP branch). More particles and more aerosol mass mean
more scattering by aerosol particles in the atmosphere, which increases the
fraction of diffuse radiation to global radiation (<inline-formula><mml:math id="M25" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula>). Increased fraction
of diffuse radiation, at relatively stable levels of total radiation, has been
found to boost photosynthesis through increased photosynthetically active
radiation in shaded regions <xref ref-type="bibr" rid="bib1.bibx43" id="paren.23"/>. More photosynthesis
increases the GPP, which results in larger emissions of BVOCs and a positive
feedback on BVOC emissions. Increased BVOC emissions have also been proposed
to have other indirect forcing<?pagebreak page4765?> effects, e.g. on methane lifetime and ozone
concentrations, but these effects will not be investigated in this study.</p>
      <p id="d1e529">Both measurement and modelling studies have previously investigated parts of
the BVOC feedback shown in Fig. <xref ref-type="fig" rid="Ch1.F1"/>. Using long-term data of aerosol
properties from 11 measurement stations, <xref ref-type="bibr" rid="bib1.bibx39" id="text.24"/> estimated
the feedback associated with the T loop to globally be about
<inline-formula><mml:math id="M26" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula> W m<inline-formula><mml:math id="M27" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> K<inline-formula><mml:math id="M28" 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>. <xref ref-type="bibr" rid="bib1.bibx44" id="text.25"/> found a similar number
(<inline-formula><mml:math id="M29" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.013</mml:mn></mml:mrow></mml:math></inline-formula> W m<inline-formula><mml:math id="M30" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> K<inline-formula><mml:math id="M31" 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>) using a global aerosol model together with an
offline radiative transfer model. In <xref ref-type="bibr" rid="bib1.bibx27" id="text.26"/>, the T branch of the
feedback was estimated with an atmospheric model by doubling monoterpene
emissions. This resulted in a global cloud radiative forcing of approximately
<inline-formula><mml:math id="M32" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn></mml:mrow></mml:math></inline-formula> W m<inline-formula><mml:math id="M33" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>. <xref ref-type="bibr" rid="bib1.bibx31" id="text.27"/> found this number to be
<inline-formula><mml:math id="M34" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula> W m<inline-formula><mml:math id="M35" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> at lower anthropogenic aerosol emissions, using emissions
from 2100 according to RCP4.5. The GPP branch has been investigated using
measurement data from a station in central Finland, which supported a
statistically significant correlation between an increase in diffuse
radiation ratio and higher aerosol loading during cloud-free conditions, as
well as a resulting increase in GPP <xref ref-type="bibr" rid="bib1.bibx26 bib1.bibx27" id="paren.28"/>.
<xref ref-type="bibr" rid="bib1.bibx42" id="text.29"/> combined a global aerosol model, a radiation model and a land
surface scheme and found the GPP branch to contribute with a gain in global
BVOC emissions by 1.07. To our knowledge, no study has so far used an Earth
system model to investigate both branches of the BVOC feedback.</p>
      <p id="d1e654">This study provides a comprehensive global investigation of the BVOC feedback
using an Earth system model. The model setup enables the vegetation and
emissions in the land model to respond to changes in climate, <inline-formula><mml:math id="M36" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and
radiation, capturing diurnal as well as seasonal variations in the emissions
of BVOCs. Both emissions of isoprene and monoterpenes are calculated
interactively by the land model and are included in the SOA formation in the
atmospheric model. The scientific objectives of the study are to investigate
the impact of <inline-formula><mml:math id="M37" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and temperature on the BVOC feedback separately and
combined. We aim to determine the importance of each step along the
BVOC-feedback loop globally and regionally. Moreover, we want to determine
the relative importance of the two branches of the feedback loop, as well as
the overall relevance of the BVOC-feedback loop for estimating the future
climate.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Method</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Model description</title>
      <p id="d1e694">In this study, the Norwegian Earth System Model (NorESM)
<xref ref-type="bibr" rid="bib1.bibx4 bib1.bibx21 bib1.bibx17" id="paren.30"/> has been used to investigate the
feedback loop described in the previous section. NorESM is based on the
Community Earth System Model (CESM) but uses a different ocean model and a
different aerosol module in the Community Atmosphere Model (CAM). The
atmospheric model in NorESM is therefore called CAM-Oslo
<xref ref-type="bibr" rid="bib1.bibx21" id="paren.31"/>. We used CAM5.3-Oslo <xref ref-type="bibr" rid="bib1.bibx22" id="paren.32"/> coupled to the
Community Land Model version 4.5 (CLM4.5) <xref ref-type="bibr" rid="bib1.bibx37" id="paren.33"/>. CLM4.5 was run
in the BGC (biogeochemistry) mode, which includes active carbon and nitrogen
biogeochemical cycling. In this mode, the plants respond to changes in
environmental conditions by enhanced or reduced growth, but the geographical
vegetation distribution does not change. Included in CLM4.5 is the Model of
Emissions of Gases and Aerosols from Nature (MEGAN) version 2.1
<xref ref-type="bibr" rid="bib1.bibx14" id="paren.34"/> that provides emissions of BVOC from the plant
functional types in CLM4.5. The BVOCs include isoprene and the following
compounds which are lumped together as monoterpenes in CAM-Oslo; myrcene,
sabinene, limonene, 3-carene, t-B-ocimene, <inline-formula><mml:math id="M38" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula>-pinene, <inline-formula><mml:math id="M39" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-pinene.
Both the vegetation and the emissions respond to changes in diffuse
radiation, <inline-formula><mml:math id="M40" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and other climate variables. <inline-formula><mml:math id="M41" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> inhibition is
included in MEGAN for isoprene <xref ref-type="bibr" rid="bib1.bibx14" id="paren.35"/>.</p>
      <p id="d1e752">The aerosol scheme in CAM5.3-Oslo is called OsloAero <xref ref-type="bibr" rid="bib1.bibx22" id="paren.36"/> and
has been developed at the Meteorological Institute of Norway and the
University of Oslo. OsloAero can be described as a “production-tagged”
aerosol scheme where the aerosol tracers are defined according to their
formation mechanism. The tracers include 15 lognormal background modes, which
are modified by condensation, coagulation and cloud processing. CAM5.3-Oslo
also includes some changes to the gas-phase chemistry compared to CAM5.3. In
CAM5.3-Oslo, isoprene and monoterpene can react with <inline-formula><mml:math id="M42" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, OH and
<inline-formula><mml:math id="M43" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. The reaction between monoterpene and <inline-formula><mml:math id="M44" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> yields low
volatile SOA (LVSOA), while the other five reactions between BVOCs and the
oxidants yield semi-volatile SOA (SVSOA). The yields for the isoprene
reactions are 0.05 and the yields for the monoterpene reactions are 0.15,
which reflects the findings in, e.g. <xref ref-type="bibr" rid="bib1.bibx18" id="text.37"/>. LVSOA and SVSOA can
also be formed from dimethyl sulfide as a proxy for methane sulfonic acid
(MSA). Only the LVSOA takes part in the nucleation in the model, while the
SVSOA condenses onto already formed aerosol particles <xref ref-type="bibr" rid="bib1.bibx32" id="paren.38"/>.
In NorESM, both LVSOA and SVSOA are treated as non-volatile with condensation
being kinetically limited.</p>
      <p id="d1e798">The nucleation scheme was introduced into CAM-Oslo in <xref ref-type="bibr" rid="bib1.bibx32" id="text.39"/>
but has since then been further developed <xref ref-type="bibr" rid="bib1.bibx22" id="paren.40"/>. The
nucleation scheme includes binary homogeneous sulfuric acid–water nucleation
<xref ref-type="bibr" rid="bib1.bibx56" id="paren.41"/>, as well as an activation-type nucleation in the
boundary layer. The activation-type nucleation rate is calculated from the
concentrations of <inline-formula><mml:math id="M45" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and LVSOA available for nucleation according
to Eq. (18) (<inline-formula><mml:math id="M46" display="inline"><mml:mrow><mml:mi>J</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">6.1</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">7</mml:mn></mml:mrow></mml:msup><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow><mml:mo>]</mml:mo><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.39</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">7</mml:mn></mml:mrow></mml:msup><mml:mo>[</mml:mo><mml:mtext>LVSOA</mml:mtext><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula>) from <xref ref-type="bibr" rid="bib1.bibx38" id="text.42"/>. The subsequent growth and
survival to the smallest mode (median radius 23.6 nm) is modelled by a
parameterisation from <xref ref-type="bibr" rid="bib1.bibx29" id="text.43"/>, depending<?pagebreak page4766?> mainly on the ratio
between coagulation sink and growth rate (from LVSOA and <inline-formula><mml:math id="M47" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>). The
treatment of early growth of aerosols has been adjusted in this version of
the model due to too-high concentrations of particles from new particle
formation. This was due to the survival percentage from nucleation (radius
2 nm) to the smallest mode being unrealistically high. In OsloAero,
coagulation is calculated only between small modes and larger modes, while
autocoagulation and coagulation between smaller modes are considered
negligible. In order to improve this, we added coagulation onto all
pre-existing particles to the coagulation sink used in the survival
calculation <xref ref-type="bibr" rid="bib1.bibx29" id="paren.44"/>.</p>
      <p id="d1e910">The hygroscopicity of aerosol particles in NorESM is calculated for each
“mixture”, which is what the background modes are called after they have
changed composition and shape through condensation, coagulation and cloud
processing. The hygroscopicity is a mass-weighted average of all components in the mixtures if the particles are
uncoated or have thin coating. If the particles have a thick coating
(<inline-formula><mml:math id="M48" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> nm), the hygroscopicity is instead a mass-weighted average of the coating itself
<xref ref-type="bibr" rid="bib1.bibx22" id="paren.45"/>. Both the size and hygroscopicity of the aerosol
particles are used in the calculations of CCN and the activation of aerosols
to cloud droplets.</p>
      <p id="d1e927">The cloud schemes in CAM5.3-Oslo include a deep convection scheme
<xref ref-type="bibr" rid="bib1.bibx58" id="paren.46"/>, a shallow convection scheme <xref ref-type="bibr" rid="bib1.bibx40" id="paren.47"/> and the
microphysical two-moment scheme MG1.5
<xref ref-type="bibr" rid="bib1.bibx35 bib1.bibx8" id="paren.48"/> for stratiform clouds. The
microphysical scheme includes aerosol activation according to
<xref ref-type="bibr" rid="bib1.bibx1" id="text.49"/>, which depends on updraft velocity and the
properties of the different aerosol modes. For both liquid and ice, the mass
and number are prognostic and the autoconversion scheme
<xref ref-type="bibr" rid="bib1.bibx20" id="paren.50"/> includes subgrid variability of cloud water
<xref ref-type="bibr" rid="bib1.bibx35" id="paren.51"/>. In this paper, the methods from <xref ref-type="bibr" rid="bib1.bibx9" id="text.52"/> are
used to calculate the forcing from clouds and aerosols. The net direct
forcing (NDF<inline-formula><mml:math id="M49" display="inline"><mml:msub><mml:mi/><mml:mtext>Ghan</mml:mtext></mml:msub></mml:math></inline-formula>) is calculated as the difference between the net
top-of-the-atmosphere radiative flux and the radiative flux, neglecting the
scattering and absorption of solar radiation by the aerosols
(<inline-formula><mml:math id="M50" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mtext>clean</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>). This is calculated in a separate call to the radiation
code. Similarly, the net cloud forcing (NCF<inline-formula><mml:math id="M51" display="inline"><mml:msub><mml:mi/><mml:mtext>Ghan</mml:mtext></mml:msub></mml:math></inline-formula>) is calculated as
the difference between <inline-formula><mml:math id="M52" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mtext>clean</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and the flux neglecting the
scattering and absorption by both clouds and aerosols
(<inline-formula><mml:math id="M53" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mtext>clear,clean</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>). In the model, the forcings are calculated
separately for the short-wave and long-wave radiation, which we have used to
calculate the net forcing.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Experimental setup</title>
      <p id="d1e1012">In order to investigate the feedback loop presented above, three different
sets of experiments were performed with NorESM. The first experiment was set
up to simulate impacts of the change in BVOC emissions when plants respond to
enhanced <inline-formula><mml:math id="M54" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations. The <inline-formula><mml:math id="M55" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> was doubled with respect
to year 2000 level (denoted <inline-formula><mml:math id="M56" display="inline"><mml:mrow class="chem"><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), but note that the fixed
SSTs highly restricted the temperature increase from the radiative forcing
associated with doubling the <inline-formula><mml:math id="M57" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. The second experiment simulated the
impact of a warmer climate driven by a change in the sea surface temperature
(SST) and sea ice to year 2080 conditions according to the RCP8.5 scenario
(denoted <inline-formula><mml:math id="M58" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi></mml:mrow></mml:math></inline-formula>SST) but with fixed <inline-formula><mml:math id="M59" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations at the year
2000. The year 2080 was chosen because the <inline-formula><mml:math id="M60" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> levels at this time
are approximately equal to the <inline-formula><mml:math id="M61" display="inline"><mml:mrow class="chem"><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> experiment. The
temperature difference over land resulting from the increase in SST is shown
in Fig. S1. In the last experiment, we doubled both the <inline-formula><mml:math id="M62" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and
changed the SSTs and sea ice as described previously (<inline-formula><mml:math id="M63" display="inline"><mml:mrow class="chem"><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M64" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi></mml:mrow></mml:math></inline-formula>SST). The experiments enable us to investigate the response
of the BVOC feedback to increased <inline-formula><mml:math id="M65" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and temperature separately and
then to see their combined effect in the last experiment. Because the aerosol
loading is expected to decrease in the future <xref ref-type="bibr" rid="bib1.bibx47" id="paren.53"/>, we also ran
a simulation identical to the <inline-formula><mml:math id="M66" display="inline"><mml:mrow class="chem"><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M67" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi></mml:mrow></mml:math></inline-formula>SST but where we
changed the emissions of aerosol and precursor gases to PI levels (1850),
denoted <inline-formula><mml:math id="M68" display="inline"><mml:mrow class="chem"><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M69" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi></mml:mrow></mml:math></inline-formula>SST LA (low aerosol). This simulation
was done in order to investigate whether the importance of the BVOC feedback
will be larger if the aerosol loading is smaller in the future. The doubling
of <inline-formula><mml:math id="M70" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, the SST increase and the reduction in aerosol emissions are
all at the top end of possible future scenarios and are not the most likely future.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2"><?xmltex \currentcnt{2}?><label>Figure 2</label><caption><p id="d1e1225">The simulation setup. The CTRL simulation has <inline-formula><mml:math id="M71" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and SSTs
at present-day (PD) levels. The <inline-formula><mml:math id="M72" display="inline"><mml:mrow class="chem"><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> simulations have doubled
<inline-formula><mml:math id="M73" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> with respect to the year 2000. In the <inline-formula><mml:math id="M74" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi></mml:mrow></mml:math></inline-formula>SST simulations,
the SST and sea ice are increased to the year 2080 levels. In the <inline-formula><mml:math id="M75" display="inline"><mml:mrow class="chem"><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M76" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi></mml:mrow></mml:math></inline-formula>SST simulation, the <inline-formula><mml:math id="M77" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is doubled and the SST
and sea ice are changed to the year 2080 levels. The CTRL, as well as all
FB-ON and FB-OFF simulations, is nudged to their respective met simulation.
All FB-ON simulations have interactive emissions, while the FB-OFF
simulations have fixed emissions from the CTRL simulation.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/4763/2019/acp-19-4763-2019-f02.png"/>

        </fig>

      <p id="d1e1318">To be able to determine the importance of each step along the BVOC-feedback
loop, each of the experiments described were run with the feedback loop
turned on (FB-ON) and turned off (FB-OFF). In the FB-OFF simulations, we did
not want changes in <inline-formula><mml:math id="M78" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, temperature or GPP to affect the BVOC
emissions, essentially keeping concentrations constant at present-day
(PD) levels. This was done by
generating emission fields from a control simulation and using these as input
into the FB-OFF simulations; see Fig. <xref ref-type="fig" rid="Ch1.F2"/> and
Table <xref ref-type="table" rid="Ch1.T1"/>. We found that reproducing the diurnal variations
in the BVOC emissions in the FB-OFF simulations was important in order to get
the BVOC concentrations in the model representative of those in the control
simulation. The column burdens of isoprene and monoterpene became much higher
when no diurnal variation in the BVOC emissions was included, since the BVOC
emissions were high also when the oxidant concentrations were low. Moreover,
the reaction rates between the BVOCs and the oxidants are temperature
dependent and thus lower during the nights. In order to produce emission
fields for the FB-OFF simulations with correct diurnal variations, 6 years of
control run emission data at half an hour time resolution were averaged to
create a yearly input file with half an hour time resolution (the time step
used in the model). Thus, the FB-ON simulations and the FB-OFF simulations
are set up exactly the same way, except that the FB-ON simulations are run
with interactive BVOC emissions, while in the FB-OFF simulations the BVOC
emissions are fixed at PD conditions; see Table <xref ref-type="table" rid="Ch1.T1"/>.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><?xmltex \currentcnt{1}?><label>Table 1</label><caption><p id="d1e1342">Specifications of the <inline-formula><mml:math id="M79" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> levels, year of the SSTs, BVOC
emissions and which meteorology was used for the nudging for each of the
simulations. “Met” stands for meteorology and refers to the simulations
denoted by met in Fig. <xref ref-type="fig" rid="Ch1.F2"/>.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="6">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:colspec colnum="5" colname="col5" align="center"/>
     <oasis:colspec colnum="6" colname="col6" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Experiment</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M80" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">SSTs and sea ice</oasis:entry>
         <oasis:entry colname="col4">BVOC emissions</oasis:entry>
         <oasis:entry colname="col5">Aerosol emissions</oasis:entry>
         <oasis:entry colname="col6">Meteorology</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">CTRL</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M81" display="inline"><mml:mrow class="chem"><mml:mn mathvariant="normal">1</mml:mn><mml:mo>×</mml:mo><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">PD</oasis:entry>
         <oasis:entry colname="col4">Interactive</oasis:entry>
         <oasis:entry colname="col5">PD</oasis:entry>
         <oasis:entry colname="col6">CTRL met</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M82" display="inline"><mml:mrow class="chem"><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> FB ON</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M83" display="inline"><mml:mrow class="chem"><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">PD</oasis:entry>
         <oasis:entry colname="col4">Interactive</oasis:entry>
         <oasis:entry colname="col5">PD</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M84" display="inline"><mml:mrow class="chem"><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> met</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M85" display="inline"><mml:mrow class="chem"><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> FB OFF</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M86" display="inline"><mml:mrow class="chem"><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">PD</oasis:entry>
         <oasis:entry colname="col4">Fixed (CTRL)</oasis:entry>
         <oasis:entry colname="col5">PD</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M87" display="inline"><mml:mrow class="chem"><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> met</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M88" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi></mml:mrow></mml:math></inline-formula>SST FB ON</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M89" display="inline"><mml:mrow class="chem"><mml:mn mathvariant="normal">1</mml:mn><mml:mo>×</mml:mo><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">2080</oasis:entry>
         <oasis:entry colname="col4">Interactive</oasis:entry>
         <oasis:entry colname="col5">PD</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M90" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi></mml:mrow></mml:math></inline-formula>SST met</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M91" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi></mml:mrow></mml:math></inline-formula>SST FB OFF</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M92" display="inline"><mml:mrow class="chem"><mml:mn mathvariant="normal">1</mml:mn><mml:mo>×</mml:mo><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">2080</oasis:entry>
         <oasis:entry colname="col4">Fixed (CTRL)</oasis:entry>
         <oasis:entry colname="col5">PD</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M93" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi></mml:mrow></mml:math></inline-formula>SST met</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M94" display="inline"><mml:mrow class="chem"><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M95" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi></mml:mrow></mml:math></inline-formula>SST FB ON</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M96" display="inline"><mml:mrow class="chem"><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">2080</oasis:entry>
         <oasis:entry colname="col4">Interactive</oasis:entry>
         <oasis:entry colname="col5">PD</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M97" display="inline"><mml:mrow class="chem"><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M98" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi></mml:mrow></mml:math></inline-formula>SST met</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M99" display="inline"><mml:mrow class="chem"><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M100" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi></mml:mrow></mml:math></inline-formula>SST FB OFF</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M101" display="inline"><mml:mrow class="chem"><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">2080</oasis:entry>
         <oasis:entry colname="col4">Fixed (CTRL)</oasis:entry>
         <oasis:entry colname="col5">PD</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M102" display="inline"><mml:mrow class="chem"><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>,<inline-formula><mml:math id="M103" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi></mml:mrow></mml:math></inline-formula>SST met</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M104" display="inline"><mml:mrow class="chem"><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M105" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi></mml:mrow></mml:math></inline-formula>SST FB ON LA</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M106" display="inline"><mml:mrow class="chem"><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">2080</oasis:entry>
         <oasis:entry colname="col4">Interactive</oasis:entry>
         <oasis:entry colname="col5">PI</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M107" display="inline"><mml:mrow class="chem"><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M108" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi></mml:mrow></mml:math></inline-formula>SST met LA</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M109" display="inline"><mml:mrow class="chem"><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M110" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi></mml:mrow></mml:math></inline-formula>SST FB OFF LA</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M111" display="inline"><mml:mrow class="chem"><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">2080</oasis:entry>
         <oasis:entry colname="col4">Fixed (CTRL)</oasis:entry>
         <oasis:entry colname="col5">PI</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M112" display="inline"><mml:mrow class="chem"><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M113" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi></mml:mrow></mml:math></inline-formula>SST met LA</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <?pagebreak page4767?><p id="d1e2013">Furthermore, to not have changes in weather patterns between the FB-ON and
FB-OFF simulations mask the effects of the different BVOC emissions, we have
used nudging <xref ref-type="bibr" rid="bib1.bibx24" id="paren.54"/> of horizontal winds and surface pressure
<xref ref-type="bibr" rid="bib1.bibx59" id="paren.55"/>. Since meteorological conditions change significantly with
doubling of <inline-formula><mml:math id="M114" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and temperature increase, the FB-ON/FB-OFF
simulations for each experiment are nudged to separate NorESM runs with the
corresponding temperature/<inline-formula><mml:math id="M115" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> changes (see Fig. <xref ref-type="fig" rid="Ch1.F2"/>
and Table <xref ref-type="table" rid="Ch1.T1"/>). The nudging changes some of the
meteorological variables in the model slightly and therefore also the
control simulation (CTRL), from which the fixed BVOC emission fields are
generated, was nudged to another CTRL simulation (see
Fig. <xref ref-type="fig" rid="Ch1.F2"/>).</p>
      <p id="d1e2051">NorESM was run with a <inline-formula><mml:math id="M116" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.9</mml:mn><mml:mo>×</mml:mo><mml:mn mathvariant="normal">2.5</mml:mn></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M117" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> horizontal resolution, 30
vertical levels and fixed sea ice and SSTs. The emissions of aerosols and
precursor gases were set to the year 2000, except for the simulations where we
decrease the aerosol loading to PI levels, where the emissions from 1850 are
used. Prescribed oxidant fields and land use at PD conditions are used for
all simulations. CTRL and the other four
experiments described above were run for 30 years as a spin-up (see
Fig. <xref ref-type="fig" rid="Ch1.F2"/>). After this, another 8 years were run to create
the meteorological data for nudging for each experiment. The FB-ON
simulations were initialised from the spin-up simulations and run for 8 years
using nudging with a relaxation time of 6 h. The FB-OFF simulations were run
in the same manner, except that the BVOC emissions were read from file (as
described above). The first 2 years of the FB-ON and FB-OFF simulations are
considered a spin-up, due to the nudging and the change in the emissions in
the FB-OFF simulations. Thus, the last 6 years of the simulations are used
for the analysis.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><?xmltex \currentcnt{3}?><label>Figure 3</label><caption><p id="d1e2078">The relative difference between the FB-ON and FB-OFF simulations of
the annual average surface emissions of isoprene <bold>(a)</bold> and
monoterpenes <bold>(c)</bold> for the <inline-formula><mml:math id="M118" display="inline"><mml:mrow class="chem"><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M119" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi></mml:mrow></mml:math></inline-formula>SST
experiment. The relative difference is defined as the
(FB-ON <inline-formula><mml:math id="M120" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula> FB-OFF) <inline-formula><mml:math id="M121" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> FB-OFF. In the bar plots, the yearly global
surface emissions of isoprene <bold>(b)</bold> and monoterpenes <bold>(d)</bold> for
the CTRL simulation as well as the three experiments (both FB-ON and FB-OFF
simulations) are shown.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/4763/2019/acp-19-4763-2019-f03.png"/>

        </fig>

</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results and discussions</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>BVOC emissions and SOA</title>
      <p id="d1e2155">We will start by discussing the part of the BVOC feedback common to the two
branches and then discuss each branch of the feedback separately.</p>
<sec id="Ch1.S3.SS1.SSS1">
  <label>3.1.1</label><title>BVOC emissions</title>
      <?pagebreak page4768?><p id="d1e2165">The BVOC emissions calculated by NorESM are in line with previous studies. In
the CTRL run, the BVOC emissions are 366 Tg yr<inline-formula><mml:math id="M122" 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 isoprene and
115 Tg yr<inline-formula><mml:math id="M123" 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 monoterpenes. These values are in the range of those
in <?xmltex \hack{\mbox\bgroup}?><xref ref-type="bibr" rid="bib1.bibx14" id="text.56"/><?xmltex \hack{\egroup}?> for monoterpenes but on the lower end for
isoprene. For the <inline-formula><mml:math id="M124" display="inline"><mml:mrow class="chem"><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M125" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi></mml:mrow></mml:math></inline-formula>SST FB-ON simulation, the
emissions are 586 Tg yr<inline-formula><mml:math id="M126" 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> (<inline-formula><mml:math id="M127" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">60</mml:mn></mml:mrow></mml:math></inline-formula> %) for isoprene and
198 Tg yr<inline-formula><mml:math id="M128" 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> (<inline-formula><mml:math id="M129" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">73</mml:mn></mml:mrow></mml:math></inline-formula> %) for monoterpenes. The emissions are somewhat
lower than estimated for the future climate in previous studies
<xref ref-type="bibr" rid="bib1.bibx28" id="paren.57"/> but the relative increases are on the high end
<xref ref-type="bibr" rid="bib1.bibx6" id="paren.58"/>. The isoprene emissions increase more when the
temperature is increased (<inline-formula><mml:math id="M130" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi></mml:mrow></mml:math></inline-formula>SST) than when the <inline-formula><mml:math id="M131" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is doubled,
but the opposite is true for monoterpenes; see Fig. <xref ref-type="fig" rid="Ch1.F3"/>c and d.</p>
      <p id="d1e2297">The emissions of isoprene and monoterpenes are higher almost everywhere in
the FB-ON simulations with <inline-formula><mml:math id="M132" display="inline"><mml:mrow class="chem"><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M133" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi></mml:mrow></mml:math></inline-formula>SST and <inline-formula><mml:math id="M134" display="inline"><mml:mrow class="chem"><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M135" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi></mml:mrow></mml:math></inline-formula>SST than in the FB-OFF simulations with the same setup
(see Figs. <xref ref-type="fig" rid="Ch1.F3"/> and S2), in line with the BVOC feedback. The
absolute increase in the emissions is largest over the tropical forests, while
the relative increase in emissions is greatest over the boreal forests in the
Northern Hemisphere (NH). Generally, the <inline-formula><mml:math id="M136" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> inhibition of isoprene
is masked by the <inline-formula><mml:math id="M137" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and temperature boosts of the vegetation, which
leads to a higher leaf area index (LAI) and GPP. In the experiment with only
increased <inline-formula><mml:math id="M138" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, there are a few areas in Africa and India that seem to
have lower isoprene emissions due to <inline-formula><mml:math id="M139" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> inhibition. This can be seen
as lower isoprene emissions and higher monoterpene emissions in the same
place (Fig. S2a and c). This does not occur in the experiments where also the
SSTs are increased. Over some regions in the tropics (parts of Africa and
the Amazon), especially in the <inline-formula><mml:math id="M140" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi></mml:mrow></mml:math></inline-formula>SST experiment, both monoterpene and
isoprene emissions decrease. This is caused by a decrease in the LAI
associated with plant mortality that seems to occur because of heat stress.
The decrease in LAI leads to a lower albedo in these forest regions, which
further increases the temperature, causing more heat stress and creating a
feedback mechanism on the vegetation. Nevertheless, the vegetation has had
time to adapt to the new temperatures and stabilise by the end of the 30-year
spin-up period. The decreases in LAI are smaller in the <inline-formula><mml:math id="M141" display="inline"><mml:mrow class="chem"><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M142" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi></mml:mrow></mml:math></inline-formula>SST experiments as the vegetation is seeded by <inline-formula><mml:math id="M143" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
(Fig. <xref ref-type="fig" rid="Ch1.F3"/>a).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4" specific-use="star"><?xmltex \currentcnt{4}?><label>Figure 4</label><caption><p id="d1e2448">The relative difference between the FB-ON and FB-OFF simulations in
the annual average column burden SOA <bold>(a)</bold> and <inline-formula><mml:math id="M144" display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mtext>a</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> in the
boundary layer <bold>(c)</bold> for the <inline-formula><mml:math id="M145" display="inline"><mml:mrow class="chem"><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M146" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi></mml:mrow></mml:math></inline-formula>SST
experiment. In the bar plots, the average yearly global production of
SOA <bold>(b)</bold> and the global average <inline-formula><mml:math id="M147" display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mtext>a</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> in the boundary
layer <bold>(d)</bold> are shown for the CTRL simulation as well as the three
experiments (both FB-ON and FB-OFF simulations).</p></caption>
            <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/4763/2019/acp-19-4763-2019-f04.png"/>

          </fig>

</sec>
<sec id="Ch1.S3.SS1.SSS2">
  <label>3.1.2</label><title>SOA</title>
      <?pagebreak page4769?><p id="d1e2525">The higher BVOC emissions in the FB-ON simulations lead to larger SOA
production (see Fig. <xref ref-type="fig" rid="Ch1.F4"/>b), as expected from the BVOC feedback. The
SOA production in the CTRL simulation is 75 Tg yr<inline-formula><mml:math id="M148" 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>, which is in the
range previously estimated by global models
<xref ref-type="bibr" rid="bib1.bibx52 bib1.bibx10" id="paren.59"/>. The SOA production in the FB-ON
simulations is similar for the <inline-formula><mml:math id="M149" display="inline"><mml:mrow class="chem"><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M150" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi></mml:mrow></mml:math></inline-formula>SST
experiments (90 and 92 Tg yr<inline-formula><mml:math id="M151" 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>) while the combined effect of higher
<inline-formula><mml:math id="M152" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and temperature gives a higher SOA production, with values of
115 Tg yr<inline-formula><mml:math id="M153" 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>. The column burden of SOA is higher over the entire globe
when the BVOC feedback is on compared to when it is turned off, except in the
<inline-formula><mml:math id="M154" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi></mml:mrow></mml:math></inline-formula>SST experiment over and downwind of the regions where the BVOC
emissions decrease; see Figs. <xref ref-type="fig" rid="Ch1.F4"/>a and S3b. The largest absolute
increase of column burden SOA is over the tropical forests, while the largest
relative increases are over the Arctic and sub-Arctic. The fraction of SOA in
the aerosol particles is also higher when the feedback is turned on, which
leads to a reduction in the hygroscopicity of the particles (not shown).</p>
</sec>
<sec id="Ch1.S3.SS1.SSS3">
  <label>3.1.3</label><title>Aerosol number and size</title>
      <p id="d1e2626">Not only is the mass of the aerosol particles affected by higher levels of
BVOCs but also the number concentration of aerosol particles and their sizes.
The changes in the number concentration and size of the particles vary with
region. The largest difference in <inline-formula><mml:math id="M155" display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mtext>a</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> between the FB-ON and FB-OFF
simulations occurs over, and downwind of, the tropical rain forests, as well
as over the boreal forests in the NH (see Fig. <xref ref-type="fig" rid="Ch1.F4"/>c). The relative
difference is largest over the boreal forests in the NH where the particle
number concentrations are generally low. The largest absolute differences on
the other hand occur in the tropics. Over regions where the emissions
decrease (in the <inline-formula><mml:math id="M156" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi></mml:mrow></mml:math></inline-formula>SST experiment), the <inline-formula><mml:math id="M157" display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mtext>a</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> decreases
(Fig. S3d).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><?xmltex \currentcnt{5}?><label>Figure 5</label><caption><p id="d1e2665">Annually averaged aerosol number size distributions in the boundary
layer for the boreal forest region (lat.: 55 to 70<inline-formula><mml:math id="M158" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, long.:
<inline-formula><mml:math id="M159" display="inline"><mml:mn mathvariant="normal">180</mml:mn></mml:math></inline-formula><inline-formula><mml:math id="M160" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W to 180<inline-formula><mml:math id="M161" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E) and the region around
the tropical islands in southeast Asia (lat.: <inline-formula><mml:math id="M162" display="inline"><mml:mn mathvariant="normal">20</mml:mn></mml:math></inline-formula><inline-formula><mml:math id="M163" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S to
20<inline-formula><mml:math id="M164" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, long.: 90–130<inline-formula><mml:math id="M165" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E). In
panels <bold>(a)</bold> and <bold>(c)</bold>, the distributions from the CTRL and the
three experiments are plotted, while in panels <bold>(b)</bold> and <bold>(d)</bold>,
the differences between the FB-ON and FB-OFF simulations are
plotted.</p></caption>
            <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/4763/2019/acp-19-4763-2019-f05.png"/>

          </fig>

      <p id="d1e2753"><?xmltex \hack{\newpage}?>In order to investigate the effect on the sizes of the particles, we analysed
the averaged boundary layer aerosol size distributions for two of the regions
most affected by the feedback: the boreal forests and the tropical islands in
southeast Asia. The size distributions are created from the number median
radius and standard deviations of the 12 particle mixtures in OsloAero
<xref ref-type="bibr" rid="bib1.bibx22" id="paren.60"/>. Over the boreal forests, the higher BVOC emissions
result in more particles in the Aitken mode (Fig. <xref ref-type="fig" rid="Ch1.F5"/>a
and b). The enhanced growth of the particles also results in more particles
in the accumulation mode and in a shift to larger sizes of the Aitken mode,
which results in a small decrease in the number of particles below 25 nm. In
the tropics, there is a larger (smaller) absolute (relative) increase in
Aitken-mode particles. The shift in the size distribution due to more
condensing vapours is larger here than over the boreal forests and results in
decreasing particle concentrations up to 70 nm. The biggest changes in both
number and shift in size distribution are seen in the <inline-formula><mml:math id="M166" display="inline"><mml:mrow class="chem"><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M167" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi></mml:mrow></mml:math></inline-formula>SST experiment. The changes in particle sizes occur further
downwind from the sources than the changes in aerosol number concentrations
which are more restricted to areas close to the sources, in particular in the
tropics.</p>
</sec>
</sec>
<?pagebreak page4770?><sec id="Ch1.S3.SS2">
  <label>3.2</label><title>The T-feedback branch</title>
<sec id="Ch1.S3.SS2.SSS1">
  <label>3.2.1</label><title>CCN</title>
      <p id="d1e2803">The CCN response of the feedback is a combination of the changes in
<inline-formula><mml:math id="M168" display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mtext>a</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, particle sizes and hygroscopicity. The CCN concentrations are
generally higher when the feedback is turned on, as is expected from the
feedback (Fig. <xref ref-type="fig" rid="Ch1.F1"/>). However, at low supersaturations (0.2 %), the
CCN concentration over some regions (in particular over the boreal forests),
is lower in the simulations with the feedback turned on
(Fig. <xref ref-type="fig" rid="Ch1.F6"/>a). The cause for this is the large amount of Aitken-mode
particles formed through new particle formation. The smaller particles
compete with the larger particles for the water vapour, which reduces the
number of aerosol particles that can activate into cloud droplets at low
supersaturations. The concentrations of CCN in these regions are very low and
the absolute decrease in CCN is small. Moreover, it should be noted that the
CCN concentration in the model is calculated only for the cloud-free areas in
the grid boxes. Thus, the particles that are activated into cloud droplets
are not included in the CCN concentrations. At higher supersaturations
(1 %), also particles at smaller sizes can be activated, and thus the
feedback results in more CCN almost everywhere (Fig. <xref ref-type="fig" rid="Ch1.F6"/>c). The
areas downwind of the tropics, where the feedback mainly results in an
increase in particle size, have higher CCN at both levels of supersaturation.
The effect of increasing particle sizes and number generally dominates the
effect of decreased particle hygroscopicity since the feedback contributes
with increasing number of CCN.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6" specific-use="star"><?xmltex \currentcnt{6}?><label>Figure 6</label><caption><p id="d1e2825">The relative difference between the FB-ON and FB-OFF simulations in
the annual average CCN at 0.2 % <bold>(a)</bold> and 1 % <bold>(c)</bold> in
the boundary layer, for the <inline-formula><mml:math id="M169" display="inline"><mml:mrow class="chem"><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M170" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi></mml:mrow></mml:math></inline-formula>SST experiment. In
the bar plots, the globally averaged CCN at 0.2 % <bold>(b)</bold> and
1 % <bold>(d)</bold> in the boundary layer are shown for the CTRL simulation
as well as the three experiments (both FB-ON and FB-OFF
simulations).</p></caption>
            <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/4763/2019/acp-19-4763-2019-f06.png"/>

          </fig>

</sec>
<?pagebreak page4771?><sec id="Ch1.S3.SS2.SSS2">
  <label>3.2.2</label><title>Cloud properties</title>
      <p id="d1e2880">The effect from the BVOC feedback on the clouds is mainly seen over and
downwind of the regions where the BVOC emissions change the most. The
vertically averaged CDNC generally increase (as is expected from the BVOC
feedback), mainly north of 45<inline-formula><mml:math id="M171" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N and in the tropics
Fig. <xref ref-type="fig" rid="Ch1.F7"/>a. The weakest response of the CDNC to the feedback occurs
in the experiment where only <inline-formula><mml:math id="M172" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> has been changed
(Figs. <xref ref-type="fig" rid="Ch1.F7"/>b and S5). In the experiment with only increased SST,
the CDNC is higher mainly in the Northern Hemisphere since the BVOC emissions
in parts of the tropics decrease (Fig. S5b). The higher levels of CDNC occur
predominantly during the local summer when the BVOC emissions are the
highest.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7" specific-use="star"><?xmltex \currentcnt{7}?><label>Figure 7</label><caption><p id="d1e2909">The relative/absolute difference between the FB-ON and FB-OFF
simulations in the annual vertically averaged CDNC <bold>(a)</bold>, the
vertically averaged <inline-formula><mml:math id="M173" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mtext>e</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> <bold>(c)</bold>, the CWP <bold>(e)</bold> and the
total CF <bold>(g)</bold> for the <inline-formula><mml:math id="M174" display="inline"><mml:mrow class="chem"><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M175" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi></mml:mrow></mml:math></inline-formula>SST experiment.
In the bar plots <bold>(b, d, f, h)</bold>, the globally averaged values of the
same variables are shown for the CTRL simulation as well as the three
experiments (both FB-ON and FB-OFF simulations). For the CDNC, <inline-formula><mml:math id="M176" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mtext>e</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>
and CWP, the in-cloud values are used.</p></caption>
            <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/4763/2019/acp-19-4763-2019-f07.png"/>

          </fig>

      <p id="d1e2981">The increasing CDNC associated with the feedback is accompanied by a decrease
in cloud droplet effective radius (<inline-formula><mml:math id="M177" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mtext>e</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) and an increasing cloud
water path (CWP) (Fig. <xref ref-type="fig" rid="Ch1.F7"/>c and e). The total cloud fraction (CF)
does however not seem to be impacted to the same extent (see
Fig. <xref ref-type="fig" rid="Ch1.F7"/>g and h), which may be an effect of the nudging. There is
an increase in the CF over the boreal forests, mainly during winter, by up to
4 %. In summer, there is an increase in low- and mid-level clouds over the
Arctic and NH midlatitudes. This is accompanied by a decrease in the
high-level clouds and therefore  does not show up clearly in
Fig. <xref ref-type="fig" rid="Ch1.F7"/>g. In the tropics, there are no systematic changes in the
cloud fraction as a result of the feedback.</p>
      <p id="d1e3002">The strongest and most widespread difference in the cloud microphysical
effects occurs in the NH midlatitudes and high latitudes. One cause for this is the
cloud cover and cloud types present close to the emission regions. The clouds
in the midlatitudes and high latitudes are commonly stratiform, for which the model
includes <inline-formula><mml:math id="M178" display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mtext>a</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> in the calculations of CDNC (through the
<xref ref-type="bibr" rid="bib1.bibx1" id="altparen.61"/> scheme for activation). The differences in CDNC
are not as widespread in the tropics, since shallow and deep convection
(which aerosols generally do not affect in ESMs) are the dominant cloud types
here. Another cause for the more widespread cloud changes in the NH is the
larger land areas here, i.e. larger areas where the emissions differ.</p>
</sec>
<sec id="Ch1.S3.SS2.SSS3">
  <label>3.2.3</label><title>Cloud forcing</title>
      <p id="d1e3027">The potential of the BVOC feedback to affect future climate will now be
evaluated by investigating the changes in cloud forcing between the FB-ON and
FB-OFF simulations. Since we cannot determine the full temperature response
of the feedback, the differences in forcing between the FB-ON and FB-OFF
simulations will be used to estimate the potential climate impact of the
changed cloud properties. The patterns of the difference in the cloud forcing
between the simulations with the FB turned on and the FB turned off
(Fig. <xref ref-type="fig" rid="Ch1.F8"/>a and c) resemble the patterns of the difference in CDNC
(Fig. <xref ref-type="fig" rid="Ch1.F7"/>a). The higher CDNC in the high latitudes and<?pagebreak page4772?> midlatitudes
associated with the FB is accompanied by a decrease in the NCF<inline-formula><mml:math id="M179" display="inline"><mml:msub><mml:mi/><mml:mtext>Ghan</mml:mtext></mml:msub></mml:math></inline-formula>
by up to <inline-formula><mml:math id="M180" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">11</mml:mn></mml:mrow></mml:math></inline-formula> W m<inline-formula><mml:math id="M181" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> during the 3 summer months; see
Fig. <xref ref-type="fig" rid="Ch1.F8"/>a. The effect of the feedback is seen mainly during the
local summer when the BVOC emissions are the highest. The differences in
NCF<inline-formula><mml:math id="M182" display="inline"><mml:msub><mml:mi/><mml:mtext>Ghan</mml:mtext></mml:msub></mml:math></inline-formula> are smallest in the <inline-formula><mml:math id="M183" display="inline"><mml:mrow class="chem"><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> experiment and
strongest in the <inline-formula><mml:math id="M184" display="inline"><mml:mrow class="chem"><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M185" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi></mml:mrow></mml:math></inline-formula>SST experiment
(Figs. <xref ref-type="fig" rid="Ch1.F8"/> and S6).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8" specific-use="star"><?xmltex \currentcnt{8}?><label>Figure 8</label><caption><p id="d1e3121">The absolute difference between the FB-ON and FB-OFF simulations for
the NCF<inline-formula><mml:math id="M186" display="inline"><mml:msub><mml:mi/><mml:mtext>Ghan</mml:mtext></mml:msub></mml:math></inline-formula> during June, July and August <bold>(a)</bold>, December
January and February <bold>(c)</bold>, as well as the NCF<inline-formula><mml:math id="M187" display="inline"><mml:msub><mml:mi/><mml:mtext>S</mml:mtext></mml:msub></mml:math></inline-formula> during
December, January and February <bold>(e)</bold> for the <inline-formula><mml:math id="M188" display="inline"><mml:mrow class="chem"><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M189" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi></mml:mrow></mml:math></inline-formula>SST experiment. In the bar plots <bold>(b, d, f)</bold>, the
globally averaged values of the same variables are shown for the CTRL
simulation as well as the three experiments (both FB-ON and FB-OFF
simulations).</p></caption>
            <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/4763/2019/acp-19-4763-2019-f08.png"/>

          </fig>

      <p id="d1e3186">The feedback does not only contribute with an enhanced negative cloud forcing
though. The difference in NCF at the surface (<inline-formula><mml:math id="M190" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula> NCF<inline-formula><mml:math id="M191" display="inline"><mml:msub><mml:mi/><mml:mtext>S</mml:mtext></mml:msub></mml:math></inline-formula>)
between the FB-ON and FB-OFF simulations is positive over the NH boreal
forests during winter in the experiments with increased SST
(Figs. <xref ref-type="fig" rid="Ch1.F8"/>e and S6f). The changes in microphysical properties as
well as cloud cover lead to an increase in the positive long-wave cloud
forcing<?pagebreak page4773?> (LWCF) at the surface, which is larger than the corresponding
increase in negative short-wave cloud forcing (SWCF). It can be concluded
that the BVOC feedback can contribute to both enhanced and reduced negative
cloud forcing depending on region and season. Nevertheless, the difference in
yearly global average NCF<inline-formula><mml:math id="M192" display="inline"><mml:msub><mml:mi/><mml:mtext>Ghan</mml:mtext></mml:msub></mml:math></inline-formula> is <inline-formula><mml:math id="M193" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.43</mml:mn></mml:mrow></mml:math></inline-formula> W m<inline-formula><mml:math id="M194" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>
(SWCF<inline-formula><mml:math id="M195" display="inline"><mml:msub><mml:mi/><mml:mtext>Ghan</mml:mtext></mml:msub></mml:math></inline-formula> <inline-formula><mml:math id="M196" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.45</mml:mn></mml:mrow></mml:math></inline-formula> W m<inline-formula><mml:math id="M197" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, LWCF<inline-formula><mml:math id="M198" display="inline"><mml:msub><mml:mi/><mml:mtext>Ghan</mml:mtext></mml:msub></mml:math></inline-formula>
<inline-formula><mml:math id="M199" display="inline"><mml:mn mathvariant="normal">0.02</mml:mn></mml:math></inline-formula> W m<inline-formula><mml:math id="M200" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) between the FB-ON and FB-OFF simulations in the <inline-formula><mml:math id="M201" display="inline"><mml:mrow class="chem"><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M202" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi></mml:mrow></mml:math></inline-formula>SST experiment, indicating that the feedback can
contribute with a potentially important impact on the future climate on a
global scale.</p>
      <p id="d1e3325">The strongest and most widespread negative cloud forcing associated with the
feedback is seen in the Arctic during summer. This is interesting since the
Arctic is currently, and is expected to continue, experiencing the largest
warming in response to the increasing atmospheric concentrations of
greenhouse gases <xref ref-type="bibr" rid="bib1.bibx16" id="paren.62"/>. The strong impact of the BVOC feedback in
the Arctic during summer could possibly counteract part of this Arctic
amplification. The large impact of the feedback in the NH midlatitudes and high
latitudes also results in a quite large difference in the effect of the
feedback between the hemispheres. The difference in the NCF<inline-formula><mml:math id="M203" display="inline"><mml:msub><mml:mi/><mml:mtext>Ghan</mml:mtext></mml:msub></mml:math></inline-formula>,
between the FB-ON and FB-OFF simulations for the <inline-formula><mml:math id="M204" display="inline"><mml:mrow class="chem"><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M205" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi></mml:mrow></mml:math></inline-formula>SST experiments, is <inline-formula><mml:math id="M206" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.56</mml:mn></mml:mrow></mml:math></inline-formula> W m<inline-formula><mml:math id="M207" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in the NH, while in
the SH it is <inline-formula><mml:math id="M208" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.30</mml:mn></mml:mrow></mml:math></inline-formula> W m<inline-formula><mml:math id="M209" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9" specific-use="star"><?xmltex \currentcnt{9}?><label>Figure 9</label><caption><p id="d1e3412">The relative difference between the FB-ON and FB-OFF simulations in
the annually average AOD <bold>(a)</bold>, <inline-formula><mml:math id="M210" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> <bold>(c)</bold> and GPP <bold>(e)</bold>
for the <inline-formula><mml:math id="M211" display="inline"><mml:mrow class="chem"><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M212" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi></mml:mrow></mml:math></inline-formula>SST experiment. In the bar
plots <bold>(b, d, f)</bold>, the globally averaged values of the same variables
are shown for the CTRL simulation as well as the three experiments (both
FB-ON and FB-OFF simulations).</p></caption>
            <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/4763/2019/acp-19-4763-2019-f09.png"/>

          </fig>

</sec>
</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>The GPP-feedback branch</title>
<sec id="Ch1.S3.SS3.SSS1">
  <label>3.3.1</label><title>AOD</title>
      <p id="d1e3482">The higher aerosol loading associated with the feedback also results in higher
values for the aerosol optical depth (AOD), in line with the feedback in
Fig. <xref ref-type="fig" rid="Ch1.F1"/>. The largest relative differences between the FB-ON and
FB-OFF simulations<?pagebreak page4774?> occur over, and downwind of, the tropical forest and the
boreal forests in the NH; see Fig. <xref ref-type="fig" rid="Ch1.F9"/>a. The AOD effects are
largest in the local summer when the emissions are the highest.</p>
</sec>
<sec id="Ch1.S3.SS3.SSS2">
  <label>3.3.2</label><title>Diffuse radiation</title>
      <p id="d1e3497">The ratio between the diffuse radiation and the global radiation is,
according the BVOC-feedback hypotheses, expected to increase with higher
aerosol scattering. Our model simulations show only a small relative
difference in <inline-formula><mml:math id="M213" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> (maximum 5 %) between the FB-ON and FB-OFF simulations
(Fig. <xref ref-type="fig" rid="Ch1.F9"/>c). The regions where there is a strong difference in <inline-formula><mml:math id="M214" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula>
between the FB-ON and FB-OFF simulations correspond to the regions with the
largest change in AOD. However, a statistical analysis of the differences
between the monthly means from the FB-ON and FB-OFF simulations shows that
the correlation coefficient between the difference in <inline-formula><mml:math id="M215" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> and the difference
in total cloud cover (0.53) is higher than between the difference in <inline-formula><mml:math id="M216" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> and
the difference in AOD (0.08); see Fig. <xref ref-type="fig" rid="Ch1.F10"/>a and b. Small
changes in the cloud cover can offset the AOD effects on <inline-formula><mml:math id="M217" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula>. Changes in
cloud cover can therefore explain the decreases in <inline-formula><mml:math id="M218" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> over, e.g. Scandinavia
(Fig. <xref ref-type="fig" rid="Ch1.F9"/>), even though the AOD increases there. The increase in
<inline-formula><mml:math id="M219" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> is expected from the
BVOC feedback but the larger dependency in <inline-formula><mml:math id="M220" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> on cloud fraction than AOD was not expected.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F10" specific-use="star"><?xmltex \currentcnt{10}?><label>Figure 10</label><caption><p id="d1e3565">Scatter plots of the absolute differences (FB-ON <inline-formula><mml:math id="M221" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula> FB-OFF) in
AOD and <inline-formula><mml:math id="M222" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> in panel <bold>(a)</bold>, CF and <inline-formula><mml:math id="M223" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> in panel <bold>(b)</bold>, GPP and
<inline-formula><mml:math id="M224" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> in panel <bold>(c)</bold> and GPP and temperature in the lowest model layer
in panel <bold>(d)</bold>. Data from all three experiments (<inline-formula><mml:math id="M225" display="inline"><mml:mrow class="chem"><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>,
 <inline-formula><mml:math id="M226" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi></mml:mrow></mml:math></inline-formula>SST and <inline-formula><mml:math id="M227" display="inline"><mml:mrow class="chem"><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M228" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi></mml:mrow></mml:math></inline-formula>SST) are included. Each dot
is a monthly average for one grid box. Only grid boxes with a land fraction
of 1 and GPP greater than zero are included. The dots are coloured according
to latitude bands (high latitudes: 90–55<inline-formula><mml:math id="M229" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S and 55–90<inline-formula><mml:math id="M230" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N,
midlatitudes: 55–30<inline-formula><mml:math id="M231" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S and 30–55<inline-formula><mml:math id="M232" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, low latitudes:
30<inline-formula><mml:math id="M233" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S–30<inline-formula><mml:math id="M234" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N) and the correlations coefficient <inline-formula><mml:math id="M235" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula> for each
region is shown in the legend. Based on the model output, AOD does not drive
diffuse radiation fraction, but cloud fraction does; and diffuse radiation
does not drive gross primary product, but temperature
does.</p></caption>
            <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/4763/2019/acp-19-4763-2019-f10.png"/>

          </fig>

</sec>
<sec id="Ch1.S3.SS3.SSS3">
  <label>3.3.3</label><title>GPP</title>
      <?pagebreak page4775?><p id="d1e3736">Next, we will investigate the relationship between <inline-formula><mml:math id="M236" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> and GPP. Neither in the
maps nor in the statistical analyses do we find any strong relationship
between <inline-formula><mml:math id="M237" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> and GPP; see Figs. <xref ref-type="fig" rid="Ch1.F9"/>e and <xref ref-type="fig" rid="Ch1.F10"/>c. The
positive effect of diffuse radiation on vegetation growth is included in CLM
<xref ref-type="bibr" rid="bib1.bibx37" id="paren.63"/> but it seems like other factors perturbed by the T branch
are affecting the vegetation more. Moreover, the difference in <inline-formula><mml:math id="M238" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> between
the FB-ON and FB-OFF simulations was quite small. The relationship between
<inline-formula><mml:math id="M239" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> and GPP is also affected by changes in the total amount of radiation. If
the total radiation decreases sufficiently, an increase in <inline-formula><mml:math id="M240" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> will not boost
GPP <xref ref-type="bibr" rid="bib1.bibx23" id="paren.64"/>. There is a negative correlation between the change in
<inline-formula><mml:math id="M241" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> and the change in the total visible radiation in our experiments, and the
total visible radiation is generally lower in the feedback on simulations
(see Fig. S8a). The hypothesised boost of GPP by <inline-formula><mml:math id="M242" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> might therefore be
masked by the change in the total visible radiation. Since the focus of this
study is the effect of the feedback on a global scale, we have chosen not to
look into if we can find the effect of <inline-formula><mml:math id="M243" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> on GPP in certain conditions or
locations.</p>
      <p id="d1e3807">The GPP instead seems to respond to changes associated with the T-feedback
branch (Fig. <xref ref-type="fig" rid="Ch1.F10"/>d). In particular, there is a decrease of GPP
in the sub-Arctic during the summer months associated with lower temperatures
caused by the enhanced negative NCF<inline-formula><mml:math id="M244" display="inline"><mml:msub><mml:mi/><mml:mtext>Ghan</mml:mtext></mml:msub></mml:math></inline-formula>. Even though we are running
with fixed SSTs, the temperatures over land can change somewhat in response
to the changed forcing. In addition, a decrease in total visible radiation
reaching the vegetation, associated with the increase in low-cloud cover in
this region, can contribute to the decrease in GPP. Overall, the GPP is
slightly lower in the simulations where we include the feedback, which is
opposite to what is expected from the feedback in Fig. <xref ref-type="fig" rid="Ch1.F1"/>. These
results are in contrast to the results by <xref ref-type="bibr" rid="bib1.bibx42" id="text.65"/>, which did not
include the effects from the T branch in their study. In our study, it seems
that the effects from the T branch of the BVOC-feedback loop is dominating
over the GPP branch. The GPP branch may however be important on local scales
ot resolvable by NorESM.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F11" specific-use="star"><?xmltex \currentcnt{11}?><label>Figure 11</label><caption><p id="d1e3828">The absolute difference between the FB-ON and FB-OFF simulations in
the annual average NDF<inline-formula><mml:math id="M245" display="inline"><mml:msub><mml:mi/><mml:mtext>Ghan</mml:mtext></mml:msub></mml:math></inline-formula> <bold>(a)</bold> for the <inline-formula><mml:math id="M246" display="inline"><mml:mrow class="chem"><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M247" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi></mml:mrow></mml:math></inline-formula>SST experiment. In panel <bold>(b)</bold>, the globally averaged
NDF<inline-formula><mml:math id="M248" display="inline"><mml:msub><mml:mi/><mml:mtext>Ghan</mml:mtext></mml:msub></mml:math></inline-formula> for the CTRL simulation as well as the three experiments
(both FB-ON and FB-OFF simulations) are shown.</p></caption>
            <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/4763/2019/acp-19-4763-2019-f11.png"/>

          </fig>

</sec>
</sec>
<?pagebreak page4776?><sec id="Ch1.S3.SS4">
  <label>3.4</label><title>Direct aerosol forcing</title>
      <p id="d1e3896">The scattering of radiation from aerosols in the atmosphere did not seem to
impact the GPP significantly in our experiments, but we do find a direct
impact on climate. The annual average NDF<inline-formula><mml:math id="M249" display="inline"><mml:msub><mml:mi/><mml:mtext>Ghan</mml:mtext></mml:msub></mml:math></inline-formula> is locally down to
<inline-formula><mml:math id="M250" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2.2</mml:mn></mml:mrow></mml:math></inline-formula> W m<inline-formula><mml:math id="M251" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> when the feedback is turned on; see Fig. <xref ref-type="fig" rid="Ch1.F11"/>a.
The largest differences in NDF<inline-formula><mml:math id="M252" display="inline"><mml:msub><mml:mi/><mml:mtext>Ghan</mml:mtext></mml:msub></mml:math></inline-formula> between the FB-ON and FB-OFF
simulations is seen close to the sources and over the regions that have large
absolute changes in the emissions, i.e. the tropics. Globally averaged, the
difference in NDF<inline-formula><mml:math id="M253" display="inline"><mml:msub><mml:mi/><mml:mtext>Ghan</mml:mtext></mml:msub></mml:math></inline-formula> is <inline-formula><mml:math id="M254" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.06</mml:mn></mml:mrow></mml:math></inline-formula> W m<inline-formula><mml:math id="M255" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> for the <inline-formula><mml:math id="M256" display="inline"><mml:mrow class="chem"><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M257" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi></mml:mrow></mml:math></inline-formula>SST experiment. This is approximately 15 % of the
difference in forcing from the clouds. The magnitude of the differences in
the NDF<inline-formula><mml:math id="M258" display="inline"><mml:msub><mml:mi/><mml:mtext>Ghan</mml:mtext></mml:msub></mml:math></inline-formula> indicates that the BVOC feedback can provide an, at
least regionally, enhanced negative forcing also through the direct aerosol
forcing.</p>
</sec>
<sec id="Ch1.S3.SS5">
  <label>3.5</label><title>Future lower aerosol loading</title>
      <p id="d1e4016">In order to investigate how the impact of the feedback changes if the aerosol
emissions decrease in the future, we also ran the <inline-formula><mml:math id="M259" display="inline"><mml:mrow class="chem"><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M260" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi></mml:mrow></mml:math></inline-formula>SST experiment with lower anthropogenic aerosol emissions.
The BVOC emissions in <inline-formula><mml:math id="M261" display="inline"><mml:mrow class="chem"><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M262" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi></mml:mrow></mml:math></inline-formula>SST LA FB-ON simulation
are almost the same as those in the <inline-formula><mml:math id="M263" display="inline"><mml:mrow class="chem"><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M264" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi></mml:mrow></mml:math></inline-formula>SST FB-ON
simulation (4 % and 3 % higher for isoprene and monoterpenes). The
response to the feedback is however larger in the experiment with lower
anthropogenic emissions. The relative differences in <inline-formula><mml:math id="M265" display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mtext>a</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> are larger,
especially over regions with large anthropogenic emissions in PD. This
indicates that BVOCs will be more important for aerosol formation in the
future, if the anthropogenic emissions decrease. The relative CDNC difference
is also greater in the experiment with low anthropogenic emissions in both
the tropics and the NH. There are areas (such as southeast Asia) where the
relative differences in CDNC are close to zero in the <inline-formula><mml:math id="M266" display="inline"><mml:mrow class="chem"><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M267" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi></mml:mrow></mml:math></inline-formula>SST experiment and up to 30 % in the <inline-formula><mml:math id="M268" display="inline"><mml:mrow class="chem"><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M269" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi></mml:mrow></mml:math></inline-formula>SST LA experiment. That the effects on the clouds are largest
in the <inline-formula><mml:math id="M270" display="inline"><mml:mrow class="chem"><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M271" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi></mml:mrow></mml:math></inline-formula>SST LA experiment is not surprising,
since clouds formed in clean condition are most susceptible to aerosol
perturbations <xref ref-type="bibr" rid="bib1.bibx49" id="paren.66"/>.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2"><?xmltex \currentcnt{2}?><label>Table 2</label><caption><p id="d1e4188">Difference in the global annual average NCF<inline-formula><mml:math id="M272" display="inline"><mml:msub><mml:mi/><mml:mtext>Ghan</mml:mtext></mml:msub></mml:math></inline-formula>,
NDF<inline-formula><mml:math id="M273" display="inline"><mml:msub><mml:mi/><mml:mtext>Ghan</mml:mtext></mml:msub></mml:math></inline-formula> and total aerosol forcing (TAF<inline-formula><mml:math id="M274" display="inline"><mml:msub><mml:mi/><mml:mtext>Ghan</mml:mtext></mml:msub></mml:math></inline-formula>) between the
FB-ON and FB-OFF simulations.</p></caption><oasis:table frame="topbot"><?xmltex \begin{scaleboxenv}{.97}[.97]?><oasis:tgroup cols="4">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M275" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>NCF<inline-formula><mml:math id="M276" display="inline"><mml:msub><mml:mi/><mml:mtext>Ghan</mml:mtext></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M277" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>NDF<inline-formula><mml:math id="M278" display="inline"><mml:msub><mml:mi/><mml:mtext>Ghan</mml:mtext></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M279" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>TAF<inline-formula><mml:math id="M280" display="inline"><mml:msub><mml:mi/><mml:mtext>Ghan</mml:mtext></mml:msub></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Experiments</oasis:entry>
         <oasis:entry colname="col2">(W m<inline-formula><mml:math id="M281" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col3">(W m<inline-formula><mml:math id="M282" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col4">(W m<inline-formula><mml:math id="M283" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M284" display="inline"><mml:mrow class="chem"><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M285" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.11</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M286" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.014</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M287" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.12</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M288" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi></mml:mrow></mml:math></inline-formula>SST</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M289" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.19</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M290" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.025</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M291" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.22</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M292" display="inline"><mml:mrow class="chem"><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M293" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi></mml:mrow></mml:math></inline-formula>SST</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M294" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.43</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M295" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.058</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M296" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.49</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M297" display="inline"><mml:mrow class="chem"><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M298" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi></mml:mrow></mml:math></inline-formula>SST LA</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M299" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.66</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M300" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.074</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M301" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.73</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup><?xmltex \end{scaleboxenv}?></oasis:table></table-wrap>

      <?pagebreak page4777?><p id="d1e4571">The stronger BVOC impact on the clouds in the experiment with lower aerosol
loading result in a larger impact from the feedback on the radiation budget.
The difference in the yearly global average NCF<inline-formula><mml:math id="M302" display="inline"><mml:msub><mml:mi/><mml:mtext>Ghan</mml:mtext></mml:msub></mml:math></inline-formula> for the <inline-formula><mml:math id="M303" display="inline"><mml:mrow class="chem"><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M304" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi></mml:mrow></mml:math></inline-formula>SST LA is 53 % higher than for the <inline-formula><mml:math id="M305" display="inline"><mml:mrow class="chem"><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M306" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi></mml:mrow></mml:math></inline-formula>SST experiment; see Table <xref ref-type="table" rid="Ch1.T2"/>. In addition, the
direct effect associated with the feedback is larger when the anthropogenic
aerosol load is reduced. The difference in NDF<inline-formula><mml:math id="M307" display="inline"><mml:msub><mml:mi/><mml:mtext>Ghan</mml:mtext></mml:msub></mml:math></inline-formula> is 29 %
higher for the experiment with lower aerosol loading. These results show that
the importance of the BVOC feedback will become substantially greater if, as
expected, the anthropogenic aerosol emissions are reduced in the future.
These results are interesting, especially since some large emitters have
already started reducing their <inline-formula><mml:math id="M308" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions <xref ref-type="bibr" rid="bib1.bibx30" id="paren.67"/>. The
total aerosol forcing associated with the feedback in the <inline-formula><mml:math id="M309" display="inline"><mml:mrow class="chem"><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M310" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi></mml:mrow></mml:math></inline-formula>SST (LA) experiment is <inline-formula><mml:math id="M311" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.49</mml:mn></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M312" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.73</mml:mn></mml:mrow></mml:math></inline-formula>) W m<inline-formula><mml:math id="M313" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, which
is 13 (20) % of the positive radiative forcing (calculated according to
<xref ref-type="bibr" rid="bib1.bibx36" id="altparen.68"/>) associated with a similar doubling of <inline-formula><mml:math id="M314" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>.
<?xmltex \hack{\newpage}?></p>
</sec>
<sec id="Ch1.S3.SS6">
  <label>3.6</label><title>Limitations and uncertainties</title>
      <p id="d1e4740">The investigation of the effects of BVOCs is challenging since it involves
complex interactions not only in the atmosphere but also in the biosphere.
In this investigation, the focus has been on the potential atmospheric
consequences of increased BVOC emissions. However, the future BVOC emissions
are highly sensitive to what will happen to the vegetation. This was clearly
seen in our simulations where we increased only the SST and found that GPP is
reduced in several regions due to heat stress. This cancels or even reverses
the BVOC feedback in these regions. How future vegetation will respond to
climate change is still highly uncertain <xref ref-type="bibr" rid="bib1.bibx7" id="paren.69"/>.</p>
      <p id="d1e4746">Our simulations do not allow changes in the distribution of the vegetation
and therefore do not include any effects of geographical shifts in
vegetation. A poleward shift in the vegetation could increase the BVOC
emissions in these regions <xref ref-type="bibr" rid="bib1.bibx41" id="paren.70"/>. Nevertheless, changes in
surface albedo, as well as latent and sensible heat fluxes associated with
such shifts <xref ref-type="bibr" rid="bib1.bibx5" id="paren.71"/>, could counteract/dominate parts of the effects
seen from the increased BVOC emissions. Changes in land use also have the
potential to affect the BVOC emissions but have not been taken into account
in this study. A recent study by <xref ref-type="bibr" rid="bib1.bibx15" id="text.72"/> including land use
found no increase in BVOC emissions at the end of the century. However, they
also note that the land use scenarios are highly uncertain.</p>
      <p id="d1e4758">There are also uncertainties associated with the emissions from the plants
themselves. In MEGAN2.1, used in this study, <inline-formula><mml:math id="M315" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> inhibition is
included for isoprene. There are indications that the inhibition also affects
monoterpenes and some studies include it also for monoterpenes
<xref ref-type="bibr" rid="bib1.bibx3" id="paren.73"/>. Including <inline-formula><mml:math id="M316" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> inhibition for monoterpenes could
have reduced the difference in monoterpene emissions between the FB-ON and
FB-OFF simulations and reduced the effect of the feedback. Plant stress due
to heat or insect infestations can affect the magnitude and type of BVOC
emissions <xref ref-type="bibr" rid="bib1.bibx60" id="paren.74"/>. These effects are very complex and have not been
included in this study.</p>
      <p id="d1e4789">During the setup of the experiments of this study, we found that the model
was sensitive to the diurnal variation in the BVOC emissions (also described
in Sect. 2.2). The column burden of isoprene (monoterpene) was, on a global
average, 57 (13) % higher when monthly averaged emission files without
diurnal variation were used in the model instead of the interactive
emissions. Adding a diurnal variation (the one included in CAM5.3) to the
monthly emissions field improves the column burden values for isoprene, but
for monoterpenes, the column burdens stay high. The resulting difference in
the column burden of SOA (<inline-formula><mml:math id="M317" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> % on a global average) is dampened by
complex processes associated with nucleation and condensation. However, the
lack of autocorrelation between the emissions and oxidants (when using
monthly emissions) can result in longer lifetimes for the BVOC and a shift
in region and level where the SOA formation occurs. This has been shown to
affect the indirect aerosol effect <xref ref-type="bibr" rid="bib1.bibx19" id="paren.75"/>. Monthly BVOC emission
files should therefore be used with caution. In this study, prescribed
oxidant fields at PD conditions with applied diurnal variation for OH and
HO<inline-formula><mml:math id="M318" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> were used. Running the model with more advanced gas-phase chemistry
would have simulated the interactions between the BVOCs and the oxidants more
realistically.</p>
      <p id="d1e4815">New particle formation, BVOC and SOA parameterisations are now implemented in
many ESMs but are still under development and associated with uncertainties
<xref ref-type="bibr" rid="bib1.bibx51 bib1.bibx32 bib1.bibx11" id="paren.76"><named-content content-type="pre">e.g.</named-content></xref>. The BVOC feedback
mechanism is highly sensitive to the parameterisations associated with new
particle and SOA formation. The yields associated with the formation of LVSOA
and SVSOA from monoterpenes and isoprene are largely uncertain, which may
significantly affect the feedback. The parameterisations of nucleation rates
and early growth of the particles can also have a strong impact on the
simulations of the feedback. Moreover, the SOA scheme in NorESM does not
account for effects of temperature on partitioning of SOA precursors. Warmer
temperatures might lead to less SOA formation with same amount of precursors,
which would reduce the feedback. In addition, the SOA formation from biogenic
precursors could be highly susceptible to modification by anthropogenic
emissions of VOCs <xref ref-type="bibr" rid="bib1.bibx50" id="paren.77"/>, which are not currently included in
NorESM. We hope that the importance of the feedback found in this study will
inspire further development of these parameterisations in ESMs.</p>
      <p id="d1e4826">Running the model with fixed SSTs and nudging provides a nice setup to study
each step in the feedback loops at low computational cost, but it also comes
with some limitations. The nudging enabled us to run the FB-ON and FB-OFF
simulations with the same meteorological conditions. We can therefore
conclude that the difference between the simulations was only associated
with the BVOC emissions and the feedback and not caused by natural
variability. The nudging does however mean that any impacts of the feedback
on horizontal winds and pressure are not captured in this investigation.
Moreover, the fixed SSTs and sea ice limit the temperature response to the
feedback. There is some temperature response to forcing induced by the
feedback over land but not over the oceans. The second-order feedbacks, such
as decreasing BVOC emissions associated with the temperature decrease due to
the enhanced negative cloud and direct forcing, will not be properly simulated
with this setup. Investigating the feedback with free-running simulations
using a coupled version of NorESM would be a very nice complement to this
study.</p>
      <p id="d1e4829">In this paper, we have focused on the BVOC feedback mechanisms shown in
Fig. <xref ref-type="fig" rid="Ch1.F1"/>, but there are other indirect effects of BVOCs that could
influence the feedback that are not included in this study. Two such effects
involve impacts on ozone production and methane lifetime. When BVOCs<?pagebreak page4778?> are
oxidised in the atmosphere, they affect the chemical composition as well as
the oxidising capacity of the atmosphere. Firstly, BVOCs can contribute to
enhanced ozone production if sufficient <inline-formula><mml:math id="M319" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is available,
while they can give a net consumption in low <inline-formula><mml:math id="M320" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> conditions
<xref ref-type="bibr" rid="bib1.bibx33" id="paren.78"/>. Secondly, the oxidation of BVOCs can
decrease the oxidation capacity of the atmosphere, thus increasing the
atmospheric lifetime of methane. Both of these effects could result in a
positive radiative forcing with increased BVOC emissions. Previous studies
have found BVOC-induced changes in the direct aerosol forcing to be roughly
balanced by the changes in the forcing from ozone and methane
<xref ref-type="bibr" rid="bib1.bibx55 bib1.bibx45" id="paren.79"/>. This indicates that part of  the  forcing
(the NDF in this study is 12 % of the total forcing) associated with BVOC
feedback investigated in this paper could be offset by changes in ozone and
methane lifetime.</p>
      <p id="d1e4862">Moreover, some of the processes in the BVOC feedback investigated here may
affect the carbon budget; however, such effects are out of the scope of this
paper.</p>
</sec>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <label>4</label><title>Conclusions</title>
      <p id="d1e4874">An ESM has been used to investigate two feedbacks induced by increased
emissions of BVOCs in response to higher <inline-formula><mml:math id="M321" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations and/or
temperature (Fig. <xref ref-type="fig" rid="Ch1.F1"/>). We find that higher BVOC emissions indeed
lead to the formation of more SOA mass, as well as both higher aerosol number
concentrations and larger particle sizes. This leads to clouds with more and
smaller droplets and higher cloud water path. The changes in the clouds are
found to contribute with an enhanced negative cloud forcing, confirming the
possibility for BVOCs to contribute with a negative climate feedback. The
feedback is strongest over and downwind of the boreal and tropical forests.
Solely increasing the <inline-formula><mml:math id="M322" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> levels produces a somewhat weaker feedback
response than solely increasing the temperatures, but the strongest response
comes from increasing both <inline-formula><mml:math id="M323" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and temperature.</p>
      <p id="d1e4912">In this investigation, we do not find that the enhanced aerosol scattering
leads to a boost of GPP globally (see Fig. <xref ref-type="fig" rid="Ch1.F1"/>). The response of the
GPP is instead dominated by the BVOC-induced changes of the clouds. The
enhanced aerosol scattering associated with the feedback is however found to
lead to a stronger negative forcing (direct effect). We would therefore
suggest modifying the BVOC feedback in Fig. <xref ref-type="fig" rid="Ch1.F1"/> as can be seen in
Fig. <xref ref-type="fig" rid="Ch1.F12"/>. Because the GPP seems to be more affected by the cloud
changes than the AOD changes, the arrows between AOD and GPP have been dashed.
However, AOD can now be seen having a negative feedback on temperature. The
combined effects from both altered cloud properties and AOD are found to
contribute with a negative radiative effect of <inline-formula><mml:math id="M324" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.49</mml:mn></mml:mrow></mml:math></inline-formula> W m<inline-formula><mml:math id="M325" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. To put
this number in context, the radiative forcing from a doubling of <inline-formula><mml:math id="M326" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
is about 3.7 W m<inline-formula><mml:math id="M327" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. Thus, the forcing associated with the BVOC
feedback could offset this by about 13 %, or even up to 20 %, given a
strong reduction in anthropogenic aerosols. This leads us to conclude that
the BVOC feedback is very relevant for estimating climate sensitivity with
ESMs and providing model-based projections of the future climate.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F12"><?xmltex \currentcnt{12}?><label>Figure 12</label><caption><p id="d1e4969">Our modified version of the BVOC feedback according to the results
from this study. The red arrows in the figure indicate that if the variable
at the start of the arrow increases, then the variable at the end of the arrow
is also expected to increase. A blue arrow on the other hand means that an
increase in the variable at the start of the arrow is expected to result in a
decrease in the variable at the end of the arrow. The GPP branch of the
feedback now has dashed lines and the changed AOD has been found to impact
temperature.</p></caption>
        <?xmltex \igopts{width=184.942913pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/4763/2019/acp-19-4763-2019-f12.png"/>

      </fig>

      <p id="d1e4979">There are still large uncertainties associated with the processes associated
with the BVOC feedback, both in models and measurements. The aim of this
study was not to provide a final answer regarding the importance of the feedback.
Instead, we wanted to use the current knowledge implemented in NorESM to test
the potential importance of including these processes in an ESM when
predicting the future climate. The results from this study should encourage
and inspire further research to improve the representation of these processes
in ESMs.</p>
</sec>

      
      </body>
    <back><notes notes-type="dataavailability"><title>Data availability</title>

      <p id="d1e4987">The CAM5.3-Oslo code is available for registered users by
signing a respective license. In order to initiate this process, please
contact noresm-ncc@met.no. Users should briefly state themselves as CESM
users on the CESM website
(<uri>http://www.cesm.ucar.edu/models/register/register.html</uri>, last access: 4
April 2019). The temporally averaged model output from the nine simulations
in Table 1 is available here: <ext-link xlink:href="https://doi.org/10.11582/2019.00008" ext-link-type="DOI">10.11582/2019.00008</ext-link> <xref ref-type="bibr" rid="bib1.bibx48" id="paren.80"/>.
The monthly data and the data from the spin-up and meteorological simulations
will be shared upon request. The reason for not supplying and storing all the
data online is the large size of the entire dataset.</p>
  </notes><app-group>
        <supplementary-material position="anchor"><?pagebreak page4779?><p id="d1e4999">The supplement related to this article is available online at: <inline-supplementary-material xlink:href="https://doi.org/10.5194/acp-19-4763-2019-supplement" xlink:title="pdf">https://doi.org/10.5194/acp-19-4763-2019-supplement</inline-supplementary-material>.<?xmltex \hack{\newpage}?></p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e5009">MKS performed the model simulations, conducted the data analysis
and wrote the manuscript. IHHK provided support during the setup of the
model. SMB, IHKK, RM and TKB contributed with discussions regarding the
experimental design, data analysis and manuscript.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e5015">The authors declare that they have no conflict of
interest.</p>
  </notes><notes notes-type="sistatement"><title>Special issue statement</title>

      <p id="d1e5021">This article is part of the special issue “BACCHUS – Impact of
Biogenic versus Anthropogenic emissions on Clouds and Climate: towards a
Holistic UnderStanding (ACP/AMT/GMD inter-journal SI)”. It is not associated
with a conference.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e5027">The research leading to these results has received funding from the European
Union's Seventh Framework Programme (FP7/2007-2013) project BACCHUS under
grant agreement no. 603445. This work was supported by LATICE, a strategic
research area funded by the Faculty of Mathematics and Natural Sciences at
the University of Oslo. This work has been financed by the research council
of Norway (RCN) through the NOTUR/Norstore project NN9485K “Biogenic aerosols
and climate feedbacks”. Inger H. H. Karset has been financed by the research
council of Norway through the project EVA and the NOTUR/Norstore projects
(Sigma2 account: nn2345k, Norstore account: NS2345K). We would like to thank
Alf Kirkevåg and Øivind Sealand for support in the work with NorESM.</p></ack><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e5032">This paper was edited by Holger Tost and reviewed by two
anonymous referees.</p>
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    <!--<article-title-html>BVOC–aerosol–climate feedbacks investigated using NorESM</article-title-html>
<abstract-html><p>Both higher temperatures and increased CO<sub>2</sub> concentrations are
(separately) expected to increase the emissions of biogenic volatile organic
compounds (BVOCs). This has been proposed to initiate negative climate
feedback mechanisms through increased formation of secondary organic aerosol
(SOA). More SOA can make the clouds more reflective, which can provide a
cooling. Furthermore, the increase in SOA formation has also been proposed to
lead to increased aerosol scattering, resulting in an increase in diffuse
radiation. This could boost gross primary production (GPP) and further
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System Model (NorESM) to investigate both these feedback mechanisms. Three
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the CO<sub>2</sub>, (2) increasing temperatures corresponding to a doubling of
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warmer climate. For each of these experiments, we ran two simulations, with
identical setups, except for the BVOC emissions. One simulation was run with
interactive BVOC emissions, allowing the BVOC emissions to respond to changes
in CO<sub>2</sub> and/or climate. In the other simulation, the BVOC emissions
were fixed at present-day conditions, essentially turning the feedback off.
The comparison of these two simulations enables us to investigate each step
along the feedback as well as estimate their overall relevance for the future
climate.</p><p>We find that the BVOC feedback can have a significant impact on the climate.
The annual global BVOC emissions are up to 63&thinsp;% higher when the feedback
is turned on compared to when the feedback is turned off, with the largest
response when both CO<sub>2</sub> and climate are changed. The higher BVOC
levels lead to the formation of more SOA mass (max 53&thinsp;%) and result in
more particles through increased new particle formation as well as larger
particles through increased condensation. The corresponding changes in the
cloud properties lead to a −0.43&thinsp;W&thinsp;m<sup>−2</sup> stronger net cloud forcing.
This effect becomes about 50&thinsp;% stronger when the model is run with
reduced anthropogenic aerosol emissions, indicating that the feedback will
become even more important as we decrease aerosol and precursor emissions. We
do not find a boost in GPP due to increased aerosol scattering on a global
scale. Instead, the fate of the GPP seems to be controlled by the BVOC effects
on the clouds. However, the higher aerosol scattering associated with the
higher BVOC emissions is found to also contribute with a potentially
important enhanced negative direct forcing (−0.06&thinsp;W&thinsp;m<sup>−2</sup>). The global
total aerosol forcing associated with the feedback is −0.49&thinsp;W&thinsp;m<sup>−2</sup>,
indicating that it has the potential to offset about 13&thinsp;% of the forcing
associated with a doubling of CO<sub>2</sub>.</p></abstract-html>
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