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

    <article-meta>
      <article-id pub-id-type="doi">10.5194/acp-17-13071-2017</article-id><title-group><article-title>Marine cloud brightening – as effective without clouds</article-title>
      </title-group><?xmltex \runningtitle{Marine cloud brightening -- as effective without clouds}?><?xmltex \runningauthor{L.~Ahlm et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff2 aff3">
          <name><surname>Ahlm</surname><given-names>Lars</given-names></name>
          <email>lars.ahlm@misu.su.se</email>
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Jones</surname><given-names>Andy</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-1814-7601</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3 aff5">
          <name><surname>Stjern</surname><given-names>Camilla W.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-3608-9468</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Muri</surname><given-names>Helene</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-4738-493X</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff6">
          <name><surname>Kravitz</surname><given-names>Ben</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-6318-1150</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3 aff7">
          <name><surname>Kristjánsson</surname><given-names>Jón Egill</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>Department of Meteorology, Stockholm University, Stockholm, Sweden</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Bolin Centre for Climate Research, Stockholm University, Stockholm, Sweden</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Department of Geosciences, University of Oslo, Oslo, Norway</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Met Office Hadley Centre, Exeter, UK</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>Center for International Climate and Environmental Research – Oslo (CICERO), Oslo, Norway</institution>
        </aff>
        <aff id="aff6"><label>6</label><institution>Atmospheric Sciences and Global Change Division, Pacific Northwest National Laboratory, Richland, WA, USA</institution>
        </aff>
        <aff id="aff7"><label>†</label><institution>deceased</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Lars Ahlm (lars.ahlm@misu.su.se)</corresp></author-notes><pub-date><day>6</day><month>November</month><year>2017</year></pub-date>
      
      <volume>17</volume>
      <issue>21</issue>
      <fpage>13071</fpage><lpage>13087</lpage>
      <history>
        <date date-type="received"><day>19</day><month>May</month><year>2017</year></date>
           <date date-type="accepted"><day>6</day><month>October</month><year>2017</year></date>
           <date date-type="rev-recd"><day>27</day><month>September</month><year>2017</year></date>
           <date date-type="rev-request"><day>29</day><month>May</month><year>2017</year></date>
      </history>
      <permissions>
<license license-type="open-access">
<license-p>This work is licensed under the Creative Commons Attribution 3.0 Unported License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/3.0/">https://creativecommons.org/licenses/by/3.0/</ext-link></license-p>
</license>
</permissions><self-uri xlink:href="https://acp.copernicus.org/articles/17/13071/2017/acp-17-13071-2017.html">This article is available from https://acp.copernicus.org/articles/17/13071/2017/acp-17-13071-2017.html</self-uri>
<self-uri xlink:href="https://acp.copernicus.org/articles/17/13071/2017/acp-17-13071-2017.pdf">The full text article is available as a PDF file from https://acp.copernicus.org/articles/17/13071/2017/acp-17-13071-2017.pdf</self-uri>


      <abstract>
    <p>Marine cloud brightening through sea spray injection has been proposed as
a climate engineering method for avoiding the most severe consequences of
global warming. A limitation of most of the previous modelling studies on
marine cloud brightening is that they have either considered individual
models or only investigated the effects of a specific increase in the number
of cloud droplets. Here we present results from coordinated simulations with
three Earth system models (ESMs) participating in the Geoengineering Model
Intercomparison Project (GeoMIP) G4sea-salt experiment. Injection rates of
accumulation-mode sea spray aerosol particles over ocean between
30<inline-formula><mml:math id="M1" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N and 30<inline-formula><mml:math id="M2" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S are set in each model to generate
a global-mean effective radiative forcing (ERF) of <inline-formula><mml:math id="M3" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.0 <inline-formula><mml:math id="M4" display="inline"><mml:mrow><mml:mi mathvariant="normal">W</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>
at the top of the atmosphere. We find that the injection increases the cloud
droplet number concentration in lower layers, reduces the cloud-top effective
droplet radius, and increases the cloud optical depth over the injection
area. We also find, however, that the global-mean clear-sky ERF by the
injected particles is as large as the corresponding total ERF in all three
ESMs, indicating a large potential of the aerosol direct effect in regions of
low cloudiness. The largest enhancement in ERF due to the presence of clouds
occur as expected in the subtropical stratocumulus regions off the west
coasts of the American and African continents. However, outside these
regions, the ERF is in general equally large in cloudy and clear-sky
conditions. These findings suggest a more important role of the aerosol
direct effect in sea spray climate engineering than previously thought.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

      <?xmltex \hack{\newpage}?>
<sec id="Ch1.S1" sec-type="intro">
  <title>Introduction</title>
      <p>Attempts to lower global emissions of <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> have so far been mostly
unsuccessful. As a result, climate engineering is increasingly being
discussed as a way to dampen the climate effects of anthropogenic greenhouse
gas emissions. One of the climate engineering methods proposed to counteract
global warming is by seeding marine clouds with sea spray aerosol to enhance
the number of activated cloud droplets (Latham, 1990). It has been suggested
that this could be generated in practice through the use of unmanned
wind-driven vessels spraying sea water into the air (Salter et al., 2008),
and as the sea water evaporates it would leave behind sea spray aerosol
particles which may be transported into the cloud layer. If the cloud liquid
water content in the seeded clouds remains constant, an increase in the cloud
droplet number concentration (CDNC) will lead to a reduction in cloud
droplet size and thereby an increase in droplet surface area and cloud albedo
(Twomey, 1977). Increasing the cloud albedo through this indirect effect of
the injected particles is the original idea of sea spray climate engineering,
and this method is therefore often referred to as marine cloud brightening.
The reduction in cloud droplet size following from an enhanced number of
droplets may also lead to a second indirect effect in which the decreased
size of the cloud droplets may reduce precipitation and thereby increase the
cloud lifetime (Albrecht, 1989).</p>
      <p>Earlier modelling studies on sea spray climate engineering investigated the
radiative effects of marine cloud brightening mainly by prescribing an
increase in CDNC (Latham et al., 2008; Jones et al., 2009; Rasch
et al., 2009). However, more recent studies have included the sea salt
injection process and the activation of the injected particles to cloud
droplets, thereby taking into account radiative effects of both activated
cloud droplets and non-activated particles (Jones and Haywood, 2012; Partanen
et al., 2012; Alterskjær et al., 2013). As a result, sea spray climate
engineering is now sometimes referred to as marine sky brightening (Muri
et al., 2015), as it may include radiative impacts of injected particles both
through cloud brightening (the aerosol indirect effect) and due to increased
scattering of solar radiation outside clouds (the aerosol direct effect). One
of the more recent modelling studies on sea spray climate engineering applied
emission patterns to maximize either the direct or the indirect radiative
effect of the injected particles, limiting the emission area in both cases to
10 % of the ocean (Jones and Haywood, 2012). In that study, maximizing
the indirect effect generated the largest radiative impact and resulted in
the largest cooling, but it should be noted that the direct effect was of
comparable magnitude to that of the indirect effect within the region
specified to maximize the aerosol indirect effect. In another recent
modelling study, the aerosol direct effect was estimated to contribute
29 % to the total radiative forcing when sea spray climate engineering
was assumed to take place over the global oceans (Partanen et al., 2012). In
contrast, one recent study indicated a dominant contribution from the aerosol
direct effect to the total radiative forcing (Kravitz et al., 2013).</p>
      <p>A weakness of almost all of the previous studies on sea spray climate
engineering is that they have only considered individual models. It is
therefore uncertain to what extent the results in many of the previous
studies are robust, considering the differences in parameterizations across
models of, for example, clouds and their interaction with aerosols. Furthermore,
results from individual model studies in the past are generally not directly
comparable because of discrepancies in the model set-up or in the details of
what was actually simulated. Therefore, the idea behind the Geoengineering
Model Intercomparison Project (GeoMIP) (Kravitz et al., 2011, 2013) is that
model experiments should be standardized, and that an ensemble of multiple
Earth system models (ESMs) should be executed for a number of climate
engineering experiments. By the use of such ensembles, it is possible to
estimate an uncertainty in the predicted climate response.</p>
      <p>In this study we use three fully coupled atmosphere–ocean ESMs and run the
GeoMIP G4sea-salt experiment (see Kravitz et al., 2013, and Sect. 2) focusing
on the response of Earth's radiation balance to injection of sea salt
particles, both in clear-sky conditions and from changes in cloud properties.</p>
</sec>
<sec id="Ch1.S2">
  <title>Methods</title>
<sec id="Ch1.S2.SS1">
  <title>Models</title>
      <p>Coupled state-of-the-art Earth system models provide the best tools for
assessing the climate response to solar climate engineering. Three fully
coupled ESMs – NorESM1-M (Bentsen et al., 2013), GISS-E2-R (Schmidt et al.,
2014), and HadGEM2-ES (Collins et al., 2011) – were used in this study. For
the atmospheric component, NorESM1-M runs at <inline-formula><mml:math id="M6" display="inline"><mml:mrow><mml:msup><mml:mn mathvariant="normal">1.9</mml:mn><mml:mo>∘</mml:mo></mml:msup><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">2.5</mml:mn><mml:mo>∘</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> in the horizontal with 26 vertical layers, GISS-E2-R runs at
<inline-formula><mml:math id="M7" display="inline"><mml:mrow><mml:msup><mml:mn mathvariant="normal">2</mml:mn><mml:mo>∘</mml:mo></mml:msup><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">2.5</mml:mn><mml:mo>∘</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> in the horizontal with 20 vertical layers,
and HadGEM2-ES runs at <inline-formula><mml:math id="M8" display="inline"><mml:mrow><mml:msup><mml:mn mathvariant="normal">1.3</mml:mn><mml:mo>∘</mml:mo></mml:msup><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">1.9</mml:mn><mml:mo>∘</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> in the horizontal
with 38 vertical layers. For the ocean component, NorESM1-M runs at <inline-formula><mml:math id="M9" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:msup><mml:mn mathvariant="normal">1</mml:mn><mml:mo>∘</mml:mo></mml:msup><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">1</mml:mn><mml:mo>∘</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> in the horizontal with 70 layers, GISS-E2-R
runs at <inline-formula><mml:math id="M10" display="inline"><mml:mrow><mml:msup><mml:mn mathvariant="normal">1</mml:mn><mml:mo>∘</mml:mo></mml:msup><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">1.3</mml:mn><mml:mo>∘</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> in the horizontal with 32 layers,
and HadGEM2-ES runs at <inline-formula><mml:math id="M11" display="inline"><mml:mrow><mml:msup><mml:mn mathvariant="normal">1</mml:mn><mml:mo>∘</mml:mo></mml:msup><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">1</mml:mn><mml:mo>∘</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> in the horizontal
between the poles and 30<inline-formula><mml:math id="M12" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> latitude with the meridional resolution
increasing smoothly to <inline-formula><mml:math id="M13" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M14" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> at the Equator and with 40 vertical
layers.</p>
      <p>The treatment of the natural emissions of sea salt is prognostic in NorESM1-M
and GISS-E2-R, with emission fluxes depending on wind speed and sea surface
temperatures in NorESM1-M (Struthers et al., 2011), and on wind speed only in
GISS-E2-R (Monahan et al., 1986). HadGEM2-ES uses a diagnostic treatment of
natural sea salt aerosol number concentration with concentrations depending
on wind speed (Jones et al., 2001). Hygroscopic growth of aerosol particles
is accounted for in all three models, and this process affects dry removal
rates as well as aerosol–radiation interactions. In NorESM1-M, hygroscopic
growth is treated as described by Seland et al. (2008), by applying the form
of Köhler equation given in Kirkevåg and Iversen (2002). In
GISS-E2-R, uptake of water by hygroscopic species such as sea salt and
sulfate is parameterized in terms in terms of an external mixture of the dry
aerosol and a pure water aerosol with sizes set to reproduce the extinction
efficiency and asymmetry parameters of the solute aerosol at the laboratory
wavelength of 633 <inline-formula><mml:math id="M15" display="inline"><mml:mi mathvariant="normal">nm</mml:mi></mml:math></inline-formula> (Schmidt et al., 2006). In HadGEM2-ES,
hygroscopic growth of sea salt, and sulfate is modelled following Fitzgerald
(1975). NorESM1-M and GISS-E2-R have fully prognostic treatment of
CDNC. In HadGEM2-ES, the CDNC is a function of sulfate, sea
salt and carbonaceous particle number concentrations (Jones and Haywood,
2012).</p>
      <p>Dry deposition of aerosol particles in all three models is parameterized
using resistance schemes analogous to electrical resistance (e.g. Seinfeld
and Pandis, 1998). The dry deposition velocity thus depends on particle size.
Gravitational settling is included in the calculation of the dry deposition
velocity. Rainout is determined by autoconversion in all models and includes
re-evaporation of precipitation. Wet deposition in NorESM1-M is parameterized
as in Iversen and Seland (2002), with an in-cloud scavenging coefficient
defined as the mass fraction of the aerosol mode within the cloud droplet.
Wet deposition in GISS-E2-R and HadGEM2-ES are described in more detail by
Koch et al. (2007) and Bellouin et al. (2011), respectively.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <title>Experiments</title>
      <p>The following experiments are analysed in this study:
<list list-type="order"><list-item><p>RCP4.5: Representative Concentration Pathway 4.5 (Meinshausen et al., 2011), where the total radiative forcing reaches
4.5 <inline-formula><mml:math id="M16" display="inline"><mml:mrow><mml:mi mathvariant="normal">W</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> in year 2100, following the CMIP5 protocol (Taylor
et al., 2011).</p></list-item><list-item><p>G4sea-salt: this experiment follows the experimental design of the Geoengineering Model Intercomparison Project (GeoMIP) G4sea-salt experiment
(Kravitz et al., 2013). Sea spray climate engineering is implemented on top
of an RCP4.5 scenario to generate a top-of-the-atmosphere (TOA) global-mean
effective radiative forcing (ERF) of <inline-formula><mml:math id="M17" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.0 <inline-formula><mml:math id="M18" display="inline"><mml:mrow><mml:mi mathvariant="normal">W</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. Although sea
spray aerosol consists of both sea salt and ocean-derived organic species
(e.g. de Leeuw et al., 2011), here we only consider the injection of sea salt
particles. The injection is applied at a constant rate in the marine boundary
layer between 30<inline-formula><mml:math id="M19" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N and 30<inline-formula><mml:math id="M20" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S, as this is the area where
the largest radiative effects have been predicted from sea salt seeding
(Alterskjær et al., 2012; Jones and Haywood, 2012; Kravitz et al., 2013).
The sea salt is injected in the lowest model layer of the ESMs, and the
injection flux is equally large for each grid cell over the ocean within this
latitudinal band. Sea spray climate engineering starts in year 2020 and
continues until year 2070, whereupon the simulations are carried on for
another 20 years such that the termination effect can be assessed.</p></list-item><list-item><p>Fixed sea surface temperature (SST) experiments: the G4sea-salt and RCP4.5 experiments were simulated also with fixed SST, as taken
from year 2020 of the RCP4.5 simulation (Kravitz et al., 2013). All other
forcing was kept the same as in year 2020 of RCP4.5, with the only difference
being increased sea salt emissions. The experiments were run for 10 years
for each model in order to determine the injection rate of sea salt aerosol
in each model required to generate a global-mean ERF of
<inline-formula><mml:math id="M21" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.0 <inline-formula><mml:math id="M22" display="inline"><mml:mrow><mml:mi mathvariant="normal">W</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> compared to the RCP4.5 scenario. The ERF by the
injected particles in these simulations is equal to the change in net total
radiation (shortwave <inline-formula><mml:math id="M23" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> longwave) at the TOA between the G4sea-salt
simulation (with sea salt injection) and the RCP4.5 simulation (without sea
salt injection). The injection rates required to generate the
<inline-formula><mml:math id="M24" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.0 <inline-formula><mml:math id="M25" display="inline"><mml:mrow><mml:mi mathvariant="normal">W</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> ERF at the TOA were then applied in the fully
coupled simulations between years 2020 and 2070.</p></list-item></list></p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1"><caption><p>Size distributions for total sea salt injections (30<inline-formula><mml:math id="M26" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N and
30<inline-formula><mml:math id="M27" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S) of <bold>(a)</bold> particle number <inline-formula><mml:math id="M28" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mi mathvariant="normal">N</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>,
<bold>(b)</bold> particle surface area <inline-formula><mml:math id="M29" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mi mathvariant="normal">S</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, and <bold>(c)</bold> particle mass <inline-formula><mml:math id="M30" display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mi mathvariant="normal">M</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> for NorESM1-M (blue), GISS-E2-R (red), and
HadGEM2-ES (black).</p></caption>
          <?xmltex \igopts{width=190.633465pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/13071/2017/acp-17-13071-2017-f01.png"/>

        </fig>

      <p>The injected sea salt particles within the G4sea-salt experiment have
a median dry radius of 0.13 <inline-formula><mml:math id="M31" display="inline"><mml:mrow><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> in NorESM1-M, 0.44 <inline-formula><mml:math id="M32" display="inline"><mml:mrow><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>
in GISS-E2-R, and 0.10 <inline-formula><mml:math id="M33" display="inline"><mml:mrow><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> in HadGEM2-ES, equal to the median dry
radius of the naturally emitted accumulation-mode sea spray particles in each
model. The geometric standard deviations of the size distributions are 1.5,
2.0, and 1.9 for NorESM1-M, GISS-E2-R, and HadGEM2-ES, respectively. Size
distributions of the injected sea salt particles are shown in Fig. 1 for
particle number (Fig. 1a), particle surface area (Fig. 1b), and particle mass
(Fig. 1c). These size distributions represent the total injection per second
within the injection area.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><caption><p>Cloud fraction for low clouds averaged over 2020–2030 within the
RCP4.5 scenario for <bold>(a)</bold> NorESM1-M, <bold>(b)</bold> GISS-E2-R, and
<bold>(c)</bold> HadGEM2-ES. Cloud fractions have been estimated by assuming
random overlapping for layers below 850 <inline-formula><mml:math id="M34" display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula> <bold>(a, c)</bold> and below
600 <inline-formula><mml:math id="M35" display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula> <bold>(b)</bold>.</p></caption>
          <?xmltex \igopts{width=441.017717pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/13071/2017/acp-17-13071-2017-f02.png"/>

        </fig>

      <p>There is large uncertainty in which particle size would be optimal for sea
spray climate engineering. The mass scattering efficiency of NaCl particles
with a refractive index of 1.544 at a wavelength of 550 <inline-formula><mml:math id="M36" display="inline"><mml:mi mathvariant="normal">nm</mml:mi></mml:math></inline-formula> has its
maximum for a particle radius of <inline-formula><mml:math id="M37" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M38" display="inline"><mml:mrow><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> (Seinfeld and
Pandis, 1998). However, within the atmosphere hygroscopic growth and
condensation of other species like sulfuric acid will modify the size
of the injected particles, which will influence the aerosol direct effect.
Latham et al. (2008) estimated that the optimal sea spray dry radius for
cloud seeding is in the range of 0.10 to 0.50 <inline-formula><mml:math id="M39" display="inline"><mml:mrow><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>. In contrast,
Connolly et al. (2014) found using a parcel model that injection of Aitken-mode particles would be most efficient, as hygroscopic growth of such
injected sea salt particles was shown to significantly enhance the albedo of
the cloud layer. Injection of Aitken-mode particles, however, generated
a positive forcing in NorESM1-M in a previous study by Alterskjær and
Kristjánsson (2013), caused by a strong competition effect combined with
high critical supersaturation of Aitken-mode particles. Representing sea
spray climate engineering in our simulations obviously requires injections
that produce a negative forcing. The size of the injected particles in this
study is in the same size range as most previous ESM studies on sea spray
climate engineering that simulate the aerosol injection (e.g. Alterskjær
et al., 2012, 2013; Jones and Haywood, 2012; Korhonen et al., 2010; Muri
et al., 2015; and Wang et al., 2011). It should also be mentioned that
extensive measurements show that organics contribute substantially to the
composition of sea spray aerosol, and in many areas is even the dominant
constituent (e.g. de Leeuw et al., 2011). As sea spray climate engineering
would likely produce particles with a similar composition as natural sea
spray, the injected particles would thus need to be larger to activate to
cloud droplets compared to when assuming pure sea salt as in the study by
Connolly et al. (2014). In particular, the presence of organics suppresses
hygroscopic growth compared to pure sea salt, which may be relevant since
Connolly et al. (2014) found that interstitial particles play an important
role in controlling the albedo in their study.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><caption><p>Global-mean TOA effective radiative forcing of the injected
particles in total <bold>(a)</bold> and in clear-sky conditions
<bold>(b)</bold>. The ERF for each model was determined from 10-year simulations with fixed SST with and without sea salt injection.</p></caption>
          <?xmltex \igopts{width=298.753937pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/13071/2017/acp-17-13071-2017-f03.png"/>

        </fig>

      <p>The fully coupled RCP4.5 simulations include two realizations with NorESM1-M,
three realizations with GISS-E2-R, and four realizations with HadGEM2-ES. The
fully coupled G4sea-salt simulations include two realizations with NorESM1-M,
three realizations with GISS-E2-R, and one realization with HadGEM2-ES.</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <title>Results and discussion</title>
      <p>A key variable in the models when considering sea spray climate engineering
is the amount of low clouds over the ocean, in particular subtropical
stratocumulus clouds off the west coasts of North America, South America, and
southern and northern Africa. These regions have been assessed to be most
susceptible to brightening (Salter et al., 2008; Alterskjær et al., 2012;
Jones and Haywood, 2012). Figure 2 shows the low-level cloud fraction below
850 <inline-formula><mml:math id="M40" display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula> for NorESM1-M (Fig. 2a) and HadGEM2-ES (Fig. 2c), and below
600 <inline-formula><mml:math id="M41" display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula> for GISS-E2-R (Fig. 2b), averaged over years 2020–2030 in
the RCP4.5 scenario. Here we use the assumption of random overlapping cloud
layers for the estimates of the cloud cover. NorESM1-M (Fig. 2a) and
HadGEM2-ES (Fig. 2c) capture the maxima in low-level cloud cover associated
with the subtropical high-pressure cells in the eastern parts of the Pacific
Ocean and the Atlantic Ocean (e.g. Rossow and Schiffer, 1999). The reason for
including layers higher than 850 <inline-formula><mml:math id="M42" display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula> in the estimate of low-level
cloud cover for GISS-E2-R is that for the region west of Peru the model
reaches its maximum in cloud cover slightly above 850 <inline-formula><mml:math id="M43" display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula>. From
Fig. 2 it is clear that the low-cloud amounts over tropical and subtropical
ocean are considerably lower in GISS-E2-R than in NorESM1-M and HadGEM2-ES,
in particular when it comes to stratocumulus clouds in the subtropical high-pressure cells in the eastern parts of the Pacific Ocean and Atlantic Ocean.
This needs to be taken into account in the assessment of the impact of sea
spray climate engineering in GISS-E2-R.</p>
<sec id="Ch1.S3.SS1">
  <title>Effective radiative forcing by the injected particles</title>
      <p>The sea salt injection rates between 30<inline-formula><mml:math id="M44" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N and 30<inline-formula><mml:math id="M45" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S
required to generate a global-mean ERF of <inline-formula><mml:math id="M46" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.0 <inline-formula><mml:math id="M47" display="inline"><mml:mrow><mml:mi mathvariant="normal">W</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> at the TOA
are 250 <inline-formula><mml:math id="M48" display="inline"><mml:mrow><mml:mi mathvariant="normal">Tg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> in NorESM1-M, 590 <inline-formula><mml:math id="M49" display="inline"><mml:mrow><mml:mi mathvariant="normal">Tg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> in
GISS-E2-R, and 200 <inline-formula><mml:math id="M50" display="inline"><mml:mrow><mml:mi mathvariant="normal">Tg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> in HadGEM2-ES. The fact that GISS-E2-R
requires a larger injection rate than the two other ESMs is likely due to the
larger dry radius of the injected particles in GISS-E2-R
(0.44 <inline-formula><mml:math id="M51" display="inline"><mml:mrow><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>) than in NorESM1-M (0.13 <inline-formula><mml:math id="M52" display="inline"><mml:mrow><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>) and HadGEM2-ES
(0.10 <inline-formula><mml:math id="M53" display="inline"><mml:mrow><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>). This means that a specific injection rate in GISS-E2-R
results in fewer particles than in the two other ESMs (Fig. 1a). The smaller
amount of low clouds in GISS-E2-R (Fig. 2b) may also be a contributing factor
to the larger injection rates required in this model. The injection rates in
this study are close to the rate reported by Partanen et al. (2012), who
obtained a <inline-formula><mml:math id="M54" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5.1 <inline-formula><mml:math id="M55" display="inline"><mml:mrow><mml:mi mathvariant="normal">W</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> global-mean ERF in the aerosol–climate
model ECHAM5.5-HAM2 from wind-speed-dependent global sea salt injections at
a rate of 440 <inline-formula><mml:math id="M56" display="inline"><mml:mrow><mml:mi mathvariant="normal">Tg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. Our injection rates are also similar to
those reported by Alterskjær et al. (2013), who applied gradually
increasing sea salt injection rates between 30<inline-formula><mml:math id="M57" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N and 30<inline-formula><mml:math id="M58" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S
in three different ESMs to keep the TOA radiative forcing of an RCP4.5
scenario at the 2020 level for 50 years. The radiative forcing change
within the RCP4.5 scenario between 2020 and 2070 is
<inline-formula><mml:math id="M59" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>1.64 <inline-formula><mml:math id="M60" display="inline"><mml:mrow><mml:mi mathvariant="normal">W</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. During the last decade of their simulations, the
injection rates required varied between 266 and 560 <inline-formula><mml:math id="M61" display="inline"><mml:mrow><mml:mi mathvariant="normal">Tg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>
across their three models.</p>
      <p>The global-mean ERF by the injected sea salt particles, for the rates given
above, is relatively constant at <inline-formula><mml:math id="M62" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.0 <inline-formula><mml:math id="M63" display="inline"><mml:mrow><mml:mi mathvariant="normal">W</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> throughout the
10-year fixed SST simulation in all three ESMs (Fig. 3a). The radiative
fluxes in the ESMs are calculated also for clear-sky conditions. These
clear-sky radiative fluxes can be used to determine the clear-sky global-mean
ERF (Fig. 3b). This variable is not equal to the aerosol direct effect of the
injected particles, because the aerosol direct effect is larger in clear-sky
conditions than when clouds are present. This is because most of the injected
particles are located below cloud base when clouds are present, which reduces
the aerosol direct effect due to the high albedo of most clouds.
Nevertheless, it is interesting to note that the clear-sky global-mean ERF
(Fig. 3b) is almost equal to the total global-mean ERF (Fig. 3a) throughout
the 10 years in the three ESMs, indicating a large potential of the aerosol
direct effect in regions of low cloudiness. Although we cannot estimate the
contribution of the aerosol direct effect to the total ERF from Fig. 3, it is
evident that sea spray climate engineering can be effective even without
clouds.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4" specific-use="star"><caption><p>TOA mean effective radiative forcing over the 10 years of
simulation with fixed SST for <bold>(a)</bold> NorESM1-M, <bold>(b)</bold> GISS-E2-R,
and <bold>(c)</bold> HadGEM2-ES.</p></caption>
          <?xmltex \igopts{width=441.017717pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/13071/2017/acp-17-13071-2017-f04.png"/>

        </fig>

      <p>The clear-sky ERF by the injected particles in Fig. 3b is of comparable
magnitude for the three models, despite the higher sea salt mass injection
rates and larger size of the injected particles in GISS-E2-R compared to the
other two models. The surface area size distribution (Fig. 1b) is closely
related to the amount of light scattered by the sea salt particles and
thereby the clear-sky ERF in Fig. 3b. For a full description of Mie
scattering, however, one also needs to take into account variations in the
scattering coefficient with particle size, which is done in the radiative
transfer calculations in the models. The total particle number injections
(integrated over the particle number size distributions in Fig. 1a) are
<inline-formula><mml:math id="M64" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.8</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">20</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M65" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.7</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M66" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.1</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">20</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M67" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for NorESM1-M, GISS-E2-R, and HadGEM2-ES; thus the number of injections is almost
2 orders of magnitude smaller in GISS-E2-R compared to the
other models. The corresponding particle surface injections (integrated over
the particle surface distributions in Fig. 1b) are <inline-formula><mml:math id="M68" display="inline"><mml:mrow><mml:mn mathvariant="normal">5.2</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>,
<inline-formula><mml:math id="M69" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.7</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M70" display="inline"><mml:mrow><mml:mn mathvariant="normal">3.1</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M71" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for
NorESM1-M, GISS-E2-R, and HadGEM2-ES. Thus, although the difference in total
particle number injection between GISS-E2-R and the other two models is
large, the difference in total particle surface area injection is
considerably smaller. Hygroscopic growth is accounted for in all the three
models (Sect. 2.1), and this process will modify the injected particle size
distributions in the atmosphere, since the relative humidity within the
injection area is generally above the deliquescence relative humidity for sea
salt. The light-scattering enhancement factor (e.g. Titos et al., 2016)
describes the relative increase in aerosol light scattering at a certain
relative humidity compared to dry conditions. This parameter is not diagnosed
in the models for the injected sea salt particles, but decreases with
increasing particle dry diameter for a certain relative humidity (e.g. Zieger
et al., 2013). This means that hygroscopic growth of the injected particles
is expected to generate a larger increase in clear-sky ERF in NorESM1-M and
HadGEM2-ES than in GISS-E2-R, since the injected particles are larger in
GISS-E2-R than in the two other models. The main reason that sea salt
injections in GISS-E2-R still generates a clear-sky ERF as large as the other
two models, or even slightly larger (Fig. 3b), is likely due to GISS-E2-R
having the lowest background clear-sky atmospheric optical depth of the three
models (not shown). This means that GISS-E2-R is more sensitive to injections
than the two other models.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><caption><p>The ratio of the total ERF to the clear-sky ERF at the TOA averaged
over the 10 years of simulation with fixed SST for <bold>(a)</bold> NorESM1-M,
<bold>(b)</bold> GISS-E2-R, and <bold>(c)</bold> HadGEM2-ES.</p></caption>
          <?xmltex \igopts{width=441.017717pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/13071/2017/acp-17-13071-2017-f05.png"/>

        </fig>

      <p>The effective radiative forcing by the injected particles at the TOA varies
spatially between <inline-formula><mml:math id="M72" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.0 and <inline-formula><mml:math id="M73" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>10 <inline-formula><mml:math id="M74" display="inline"><mml:mrow><mml:mi mathvariant="normal">W</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> across the injection
area in the three ESMs (Fig. 4). The mean values over the injection area are
<inline-formula><mml:math id="M75" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>4.3 <inline-formula><mml:math id="M76" display="inline"><mml:mrow><mml:mi mathvariant="normal">W</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> in NorESM1-M, <inline-formula><mml:math id="M77" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>4.9 <inline-formula><mml:math id="M78" display="inline"><mml:mrow><mml:mi mathvariant="normal">W</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> in GISS-E2-R,
and <inline-formula><mml:math id="M79" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>4.7 <inline-formula><mml:math id="M80" display="inline"><mml:mrow><mml:mi mathvariant="normal">W</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> in HadGEM2-ES. The injection area here, and for
later calculations, represents all grid cells over ocean between
30<inline-formula><mml:math id="M81" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N and 30<inline-formula><mml:math id="M82" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S. In NorESM1-M (Fig. 4a), maximum ERF
appears
in the stratocumulus regions off the west coasts of northern South America
and southern Africa (Fig. 2a), locally exceeding <inline-formula><mml:math id="M83" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>10 <inline-formula><mml:math id="M84" display="inline"><mml:mrow><mml:mi mathvariant="normal">W</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>.
This means that the ERF over these regions is a factor of 2–3 larger than
the average over the injection area. The location of these maxima is in
agreement with the studies by Jones and Haywood (2012) and Partanen
et al. (2012), who observed a strong aerosol indirect effect in these areas
from sea spray climate engineering. The ERF maximum off the west coast of
southern Africa is also pronounced in HadGEM2-ES (Fig. 4c), although weaker
in forcing than in NorESM1-M. In addition, there are maxima in ERF in the
marine stratocumulus regions west of northern Africa and west of Australia
for both NorESM1-M and HadGEM2-ES. Jones and Haywood (2012) saw a strong
aerosol indirect effect from sea spray climate engineering in these regions
in the HadGEM2-ES model.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6" specific-use="star"><caption><p>Mean difference in sea salt mass concentration in the lowest model
layer between G4sea-salt and RCP4.5 averaged over 2035 and 2065, for
<bold>(a)</bold> NorESM1-M, <bold>(b)</bold> GISS-E2-R, and <bold>(c)</bold> HadGEM2-ES.</p></caption>
          <?xmltex \igopts{width=441.017717pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/13071/2017/acp-17-13071-2017-f06.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7" specific-use="star"><caption><p>Mean relative change in CDNC due to sea salt injection for NorESM1-M
<bold>(a)</bold>, GISS-E2-R <bold>(b)</bold>, and HadGEM2-ES <bold>(c)</bold>. CDNC
represents the cloud droplet number concentration within the model layer
below 700 <inline-formula><mml:math id="M85" display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula> with maximum concentration, and the maps represent
averages over 2035–2065.</p></caption>
          <?xmltex \igopts{width=441.017717pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/13071/2017/acp-17-13071-2017-f07.png"/>

        </fig>

      <p>Although the effective radiative forcing by the injected particles in
NorESM1-M and HadGEM2-ES is at a maximum over some of the marine subtropical
stratocumulus regions previously identified as optimal for marine cloud
brightening, the ERFs in Fig. 4 are not as dominated by these regions as in
the study by Partanen et al. (2012) with ECHAM5.5-HAM2. In that study, the
maximum ERF of their sea spray climate engineering exceeded
<inline-formula><mml:math id="M86" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>30 <inline-formula><mml:math id="M87" display="inline"><mml:mrow><mml:mi mathvariant="normal">W</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> in the stratocumulus regions west of Peru and
southern Africa, whereas the mean ERF outside these regions was around
<inline-formula><mml:math id="M88" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5 <inline-formula><mml:math id="M89" display="inline"><mml:mrow><mml:mi mathvariant="normal">W</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. This means that the ERF by the injected particles in
the subtropical stratocumulus regions was more than a factor of 6 higher
than the typical ERF outside these regions. Such a large difference in ERF
between subtropical stratocumulus regions and other regions within the
injection area is not seen here. For NorESM1-M and HadGEM2-ES the sea salt
injection also generates a strong ERF over large regions of the central and
western parts of the Pacific Ocean, where a low cloud-weighted susceptibility
to sea salt injections (Alterskjær et al., 2012) and a strong aerosol
direct effect from sea spray climate engineering (Jones and Haywood, 2012)
have been identified. The correlation between the strength of the effective
radiative forcing and low-level cloud cover (as defined in Fig. 2), when
including all grid cells over ocean within the injection area, is weak for
these two models (the Pearson correlation coefficient <inline-formula><mml:math id="M90" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula> is equal to 0.28
and 0.16 for NorESM1-M, and HadGEM2-ES respectively). Thus, over the
injection area as a whole, the presence of low-level clouds gives no clear
advantage for obtaining a large ERF from sea spray climate engineering.</p>
      <p>Although GISS-E2-R (Fig. 4b) has maxima in ERF in the same subtropical
stratocumulus regions as the other two models, there is less horizontal
variability in ERF in GISS-E2-R. An exception is the Intertropical
Convergence Zone (ITCZ), where the ERF is considerably weaker, likely due to
the large amounts of high clouds in these regions (not shown). The presence
of middle to high-level clouds is not optimal for sea spray climate
engineering as these clouds block out some of the incoming solar radiation
and make a negligible contribution to the aerosol indirect effect. A weaker
ERF along the ITCZ can be seen to some extent also over the Pacific in
NorESM1-M (Fig. 4a). The more homogeneous ERF field for GISS-E2-R compared to
the two other models is likely due to the smaller amount of low-level clouds
in GISS-E2-R compared to the two other ESMs (Fig. 2). This means that the
aerosol direct effect likely contributes more to the total ERF in GISS-E2-R,
leading to fewer horizontal variations in ERF. This hypothesis of a low
contribution of the aerosol indirect effect to the ERF in GISS-E2-R is
supported by the absence of correlation between the strength of the ERF and
low-level cloud cover (<inline-formula><mml:math id="M91" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.10</mml:mn></mml:mrow></mml:math></inline-formula>) for this model.</p>
      <p>Figure 5 shows the ratio of the total ERF to clear-sky ERF at the TOA for
each of the three models. This figure provides information on whether the
clouds that are present increase the ERF by the injected particles compared
to clear-sky conditions. Red-coloured areas indicate an increased ERF when
clouds are present, and thereby an effective aerosol indirect effect, whereas
blue-coloured regions indicate an enhanced ERF for clear-sky conditions. The
impact of the subtropical stratocumulus clouds on the ERF by the injected
particles, relative to clear-sky conditions, is largest in HadGEM2-ES
(Fig. 5c), with the ratio of total ERF to clear-sky ERF locally being higher
than <inline-formula><mml:math id="M92" display="inline"><mml:mrow><mml:mn mathvariant="normal">4</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> in regions west of California and Mexico, west of southern Africa,
and west of Australia. In NorESM1-M (Fig. 5a), the corresponding enhancement
in ERF in these regions due to the presence of low clouds is considerably
smaller, although with a ratio locally above <inline-formula><mml:math id="M93" display="inline"><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> in the Atlantic region
west of northern Africa. In GISS-E2-R (Fig. 5b), the maximum values of the
total ERF to clear-sky ERF ratio appear in the same subtropical high-pressure
regions as in the other models, although much less pronounced due to the
smaller amount of low-level clouds in this model. For GISS-E2-R, there are
regions along the ITCZ where the presence of clouds reduces the ERF by the
injected particles (blue-coloured regions), likely due to the high presence
of high-level clouds in these regions, as discussed above. Total ERF to
clear-sky ERF ratios lower than one along the ITCZ indicate that the aerosol
direct effect of the injected particles in clear-sky conditions is larger
than the total radiative effect of the injected particles when clouds are
present, and such ratios also appear locally in the other two ESMs.</p>
      <p>In summary, the presence of low clouds in the subtropical high-pressure
regions has the effect of increasing the ERF by the injected particles
compared to clear-sky conditions, and this enhancement in ERF due to the
aerosol indirect effect is most pronounced in HadGEM2-ES. However, in most
other regions within the area of sea salt injection, the ratio of total ERF
to clear-sky ERF is close to one in all the models, which indicates that the
presence of clouds in most regions does not significantly increase the ERF
compared to clear-sky conditions. This finding, together with the relatively
small horizontal variability in ERF compared to Partanen et al. (2012) and
weak or non-existent correlations between ERF and low-level cloud cover,
suggests that the aerosol direct effect probably makes a larger contribution
to the total ERF in this study compared to the study by Partanen
et al. (2012), where the aerosol direct effect contributed 29 % to the
total ERF by sea spray climate engineering.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8" specific-use="star"><caption><p>Mean relative change between G4sea-salt and RCP4.5 in cloud-top
effective radius for NorESM1-M <bold>(a)</bold> and HadGEM2-ES <bold>(c)</bold> and
in cloud optical depth for NorESM1-M <bold>(b)</bold> and HadGEM2-ES
<bold>(d)</bold>. The maps represent average change due to sea spray climate
engineering over the period 2035–2065. Hatching denotes areas where changes
are not significant at the 95 % confidence level (Student <inline-formula><mml:math id="M94" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> test with
respect to variance of annual mean values).</p></caption>
          <?xmltex \igopts{width=441.017717pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/13071/2017/acp-17-13071-2017-f08.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS2">
  <title>Coupled simulations</title>
<sec id="Ch1.S3.SS2.SSS1">
  <title>Change in sea salt concentrations, cloud properties, and atmospheric circulation</title>
      <p>The injection rates generating a global-mean effective radiative forcing of
<inline-formula><mml:math id="M95" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.0 <inline-formula><mml:math id="M96" display="inline"><mml:mrow><mml:mi mathvariant="normal">W</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> at the TOA in the simulations with fixed SST were
applied in the fully coupled G4sea-salt simulations between 2020 and 2070 in
the three ESMs. These sea salt injections elevate the sea salt mass
concentration within the injection area in all the models compared to the
RCP4.5 scenario (Fig. 6). As mentioned in Sect. 3.1, the injection rate in
GISS-E2-R was 2–3 times higher than in the two other ESMs, which explains
the larger enhancement in mass concentration in GISS-E2-R compared to the
other models. Despite equal sea salt flux increase in all grid cells within
the injection area, there are large spatial variations in the increase in sea
salt concentration in the lowest model layer in all the models. This is due
to differences in precipitation, boundary layer depth, and horizontal and
vertical transport across different regions. In NorESM1-M (Fig. 6a),
comparatively large increases in sea salt concentration occur in the
subtropical high-pressure regions. This is likely a combined effect of low
precipitation, thin boundary layer, and generally little vertical mixing in
these regions compared to regions with more convection. Similar patterns can
be seen in GISS-E2-R (Fig. 6b) and in part in HadGEM2-ES (Fig. 6c).
HadGEM2-ES has further peak increases in sea salt concentrations closer to
the Equator, which could indicate either more efficient aerosol transport
equatorward by trade winds or less efficient wet removal in the ITCZ.</p>

      <?xmltex \floatpos{p}?><fig id="Ch1.F9" specific-use="star"><caption><p>The multi-model mean difference between the G4sea-salt experiment
and RCP4.5 averaged over years 2035–2065. The multi-model mean difference
refers to the mean of all three models, NorESM1-M, GISS-E2, and HadGEM2-ES.
Hatching denotes areas where the models disagree on the sign of the change.
Change in <bold>(a)</bold> omega-vertical velocity at 500 <inline-formula><mml:math id="M97" display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula> (positive
values corresponds to reduced upward motion) (centipascal per second),
<bold>(b)</bold> cloud water path (vertically integrated cloud water content)
(%), and <bold>(c)</bold> precipitation rate (%).</p></caption>
            <?xmltex \igopts{width=441.017717pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/13071/2017/acp-17-13071-2017-f09.png"/>

          </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F10" specific-use="star"><caption><p>Relations between the relative change in cloud optical depth
(<inline-formula><mml:math id="M98" display="inline"><mml:mi mathvariant="italic">τ</mml:mi></mml:math></inline-formula>) due to sea salt injection against the corresponding changes in
<inline-formula><mml:math id="M99" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> for <bold>(a)</bold> NorESM1-M and <bold>(b)</bold> HadGEM2-ES;
CDNC for <bold>(c)</bold> NorESM1-M and <bold>(d)</bold> HadGEM2-ES; and
LWP for <bold>(e)</bold> NorESM1-M and <bold>(f)</bold> HadGEM2-ES. The
relations represent averages over the period 2035–2065 within the injection
area. Pearson's correlation coefficient (<inline-formula><mml:math id="M100" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula>) is given for each relation.</p></caption>
            <?xmltex \igopts{width=298.753937pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/13071/2017/acp-17-13071-2017-f10.png"/>

          </fig>

      <p>One of the advantages of simulating sea spray climate engineering in ESMs
through sea salt aerosol emissions, compared to just increasing the
CDNC, is that the cloud droplet activation process is taken into
account. Previous studies have shown that injection of sea spray particles in
some circumstances may actually reduce the CDNC due to increased
competition for water vapour and reduced activation of background aerosol
particles (Korhonen et al., 2010; Alterskjær et al., 2012).
Alterskjær and Kristjánsson (2013) showed in a single-model study
that while the injection of accumulation-mode particles increased the
CDNC, the injections of Aitken- or coarse-mode particles could have the
opposite effect with a reduction in CDNC. As mentioned in Sect. 2.2,
the injected particles in this study are accumulation-mode particles with
a median dry radius between 0.10 and 0.44 <inline-formula><mml:math id="M101" display="inline"><mml:mrow><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>. The background
CDNC within the injection area at an altitude of <inline-formula><mml:math id="M102" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">1000</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M103" display="inline"><mml:mi mathvariant="normal">m</mml:mi></mml:math></inline-formula>
averaged over 2035–2065 for RCP4.5 varies for NorESM1-M from
10–20 <inline-formula><mml:math id="M104" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> in the remote areas of Pacific and reaches a maximum
of <inline-formula><mml:math id="M105" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">100</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M106" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> south of Mexico, west of northern Africa,
south-east of China, and over the northern parts of the Indian Ocean.
HadGEM2-ES has its maxima in CDNC at similar locations within the
injection area. However, HadGEM2-ES has somewhat higher concentrations with
a typical CDNC of 20–40 <inline-formula><mml:math id="M107" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> in the remote Pacific Ocean
and CDNC reaching 250 <inline-formula><mml:math id="M108" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> at coastal locations closer to
continental sources. GISS-E2-R has higher background CDNC than the
other models, with concentrations of 50–100 <inline-formula><mml:math id="M109" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> in the remote
Pacific Ocean and concentrations higher than 1000 <inline-formula><mml:math id="M110" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> in some
coastal regions influenced by continental sources. Whereas NorESM1-M and
HadGEM2-ES simulate CDNC close to estimates using MODIS (Moderate
Resolution Imaging Spectroradiometer) data for cloud-top CDNC (e.g.
Wood, 2012), GISS-E2-R predicts higher background CDNC than estimated
from MODIS.</p>
      <p>As shown in Fig. 7, the sea salt injection enhances the CDNC in lower
layers within the whole injection area in all three ESMs. The mean percentage
increase in CDNC within the injection area averaged for the period
2035–2065 (only grid cells over ocean included) is 153 % in NorESM1-M,
42 % in GISS-E2-R, and 89 % in HadGEM2-ES (Table 1). The largest
enhancements in CDNC generally occur in regions where the background
CDNC is low. The smaller percentage increase in CDNC in
GISS-E2-R compared to the other two models is likely due to the higher
background CDNC in GISS-E2-R. Over the Arctic region, there is
a relatively large reduction in CDNC in NorESM1-M (Fig. 7a) and
HadGEM2-ES (Fig. 7c). However, the CDNC in the Arctic region is as low
as <inline-formula><mml:math id="M111" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M112" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, which implies that a very small absolute change
in concentration can result in a large relative change in CDNC. The
mechanism for the reduction of CDNC in the Arctic is likely related to
the cooling induced by the sea salt: the cooling increases the sea ice cover
in the Arctic and therefore reduces the source of natural sea salt and
dimethyl sulfide (DMS), both of which cause a reduction in CDNC. The
cooling also reduces the liquid water in the clouds, which may also
contribute to the reduction in CDNC, as this variable represents the
number concentration of cloud liquid water particles in the air.</p>

<?xmltex \floatpos{p}?><table-wrap id="Ch1.T1" specific-use="star"><caption><p>Mean percentage changes in CDNC, cloud-top effective radius, cloud
water path, cloud cover, cloud optical depth,
precipitation, and surface air temperature (<inline-formula><mml:math id="M113" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C) due to sea spray climate engineering. The changes represent the percentage
difference between G4sea-salt (with climate engineering) and RCP4.5 (without climate engineering) averaged over the period 2035–2065
for the injection area and globally. The change in CDNC represents the change in cloud droplet number concentration within the model
layer below 700 <inline-formula><mml:math id="M114" display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula> with maximum concentration. Cloud-top effective radius and cloud optical depth could only be diagnosed
for NorESM1-M and HadGEM2-ES. Cloud optical depth has been estimated using Eq. (1) (Stephens, 1978).</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="7">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right" colsep="1"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right" colsep="1"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:thead>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry rowsep="1" namest="col2" nameend="col3" align="center" colsep="1">NorESM1-M </oasis:entry>  
         <oasis:entry rowsep="1" namest="col4" nameend="col5" align="center" colsep="1">GISS-E2-R </oasis:entry>  
         <oasis:entry rowsep="1" namest="col6" nameend="col7" align="center">HadGEM2-ES </oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">Injection</oasis:entry>  
         <oasis:entry colname="col3">Global</oasis:entry>  
         <oasis:entry colname="col4">Injection</oasis:entry>  
         <oasis:entry colname="col5">Global</oasis:entry>  
         <oasis:entry colname="col6">Injection</oasis:entry>  
         <oasis:entry colname="col7">Global</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">area mean</oasis:entry>  
         <oasis:entry colname="col3">mean</oasis:entry>  
         <oasis:entry colname="col4">area mean</oasis:entry>  
         <oasis:entry colname="col5">mean</oasis:entry>  
         <oasis:entry colname="col6">area mean</oasis:entry>  
         <oasis:entry colname="col7">mean</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">CDNC (%)</oasis:entry>  
         <oasis:entry colname="col2">153</oasis:entry>  
         <oasis:entry colname="col3">65</oasis:entry>  
         <oasis:entry colname="col4">28</oasis:entry>  
         <oasis:entry colname="col5">15</oasis:entry>  
         <oasis:entry colname="col6">89</oasis:entry>  
         <oasis:entry colname="col7">36</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Cloud-top effective radius (%)</oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math id="M115" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>8.6</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M116" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5.5</oasis:entry>  
         <oasis:entry colname="col4">–</oasis:entry>  
         <oasis:entry colname="col5">–</oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math id="M117" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>6.4</oasis:entry>  
         <oasis:entry colname="col7"><inline-formula><mml:math id="M118" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.8</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Cloud water path (%)</oasis:entry>  
         <oasis:entry colname="col2">0.53</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M119" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.11</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M120" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.3</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math id="M121" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.9</oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math id="M122" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.3</oasis:entry>  
         <oasis:entry colname="col7"><inline-formula><mml:math id="M123" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.4</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Cloud cover (%)</oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math id="M124" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.8</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M125" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.0</oasis:entry>  
         <oasis:entry colname="col4">0.05</oasis:entry>  
         <oasis:entry colname="col5">0.11</oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math id="M126" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.11</oasis:entry>  
         <oasis:entry colname="col7"><inline-formula><mml:math id="M127" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.24</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Cloud optical depth (%)</oasis:entry>  
         <oasis:entry colname="col2">10</oasis:entry>  
         <oasis:entry colname="col3">5.9</oasis:entry>  
         <oasis:entry colname="col4">–</oasis:entry>  
         <oasis:entry colname="col5">–</oasis:entry>  
         <oasis:entry colname="col6">5.7</oasis:entry>  
         <oasis:entry colname="col7">2.1</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Precipitation (%)</oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math id="M128" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.7</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M129" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.7</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M130" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.2</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math id="M131" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.1</oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math id="M132" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.6</oasis:entry>  
         <oasis:entry colname="col7"><inline-formula><mml:math id="M133" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.0</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Surface temperature (<inline-formula><mml:math id="M134" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C)</oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math id="M135" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.68</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math id="M136" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.54</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math id="M137" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.83</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math id="M138" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.62</oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math id="M139" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.76</oasis:entry>  
         <oasis:entry colname="col7"><inline-formula><mml:math id="M140" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.62</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <?xmltex \floatpos{t}?><fig id="Ch1.F11" specific-use="star"><caption><p>Difference in net SW radiation at the TOA between G4sea-salt and
RCP4.5 <bold>(a)</bold> global mean, <bold>(b)</bold> clear-sky global mean,
<bold>(c)</bold> injection area mean, and <bold>(d)</bold> clear-sky injection area
mean. The colours denote NorESM1-M (blue), GISS-E2-R (red), and HadGEM2-ES
(black). Only grid cells over ocean have been included in the mean values
representative of the injection area.</p></caption>
            <?xmltex \igopts{width=298.753937pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/13071/2017/acp-17-13071-2017-f11.png"/>

          </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F12" specific-use="star"><caption><p>Mean change in net SW radiation (<inline-formula><mml:math id="M141" display="inline"><mml:mrow><mml:mi mathvariant="normal">W</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) at the TOA
between G4sea-salt and RCP4.5 for the period 2035–2065 for
<bold>(a)</bold> NorESM1-M, <bold>(b)</bold> GISS-E2-R, and <bold>(c)</bold> HadGEM2-ES.
Hatching denotes areas where changes are not significant at the 95 %
confidence level (Student <inline-formula><mml:math id="M142" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> test with respect to variance of annual mean
values).</p></caption>
            <?xmltex \igopts{width=441.017717pt}?><graphic xlink:href="https://acp.copernicus.org/articles/17/13071/2017/acp-17-13071-2017-f12.png"/>

          </fig>

      <p>As expected, the cloud-top effective droplet radius, <inline-formula><mml:math id="M143" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, is
reduced due to the sea salt injection over the whole injection area (Fig. 8a
and c). The mean reductions in <inline-formula><mml:math id="M144" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> within the injection area are
<inline-formula><mml:math id="M145" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>8.6 % for NorESM1-M and <inline-formula><mml:math id="M146" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>6.4 % for HadGEM2-ES (<inline-formula><mml:math id="M147" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
could not be diagnosed in GISS-E2-R) (Table 1). Although the change in cloud
water path (vertically integrated cloud water content including both liquid
water and ice) due to the sea spray climate engineering is more than 15 %
locally in all three ESMs (shown as multi-model mean in Fig. 9b), the mean
changes globally and over the injection area are less than 2 % in all
three models (Table 1). Interestingly, there is no correlation between the
change in CDNC and the change in cloud water path within the injection
area for mean values of these variables over years 2035–2065. The Pearson
correlation coefficient <inline-formula><mml:math id="M148" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula> for this relation is 0.09 for NorESM1-M, <inline-formula><mml:math id="M149" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.24
for GISS-E2-R, and <inline-formula><mml:math id="M150" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.09 for HadGEM2-ES. The lack of such a correlation and
the fact that the mean change in cloud water path within the injection area
is small, and even negative in two of the models (Table 1), indicate that the
second aerosol indirect effect is weak (Malavelle et al., 2017). Local
changes in cloud water path within the injection area appear instead to be
linked to changes in the atmospheric circulation. This is seen in the
correlation between the change in cloud water path and the change in
omega-vertical velocity (Fig. 9a; <inline-formula><mml:math id="M151" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mo>-</mml:mo></mml:mrow></mml:math></inline-formula>0.70 for NorESM1-M, <inline-formula><mml:math id="M152" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mo>-</mml:mo></mml:mrow></mml:math></inline-formula>0.59 for
GISS-E2-R, and <inline-formula><mml:math id="M153" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mo>-</mml:mo></mml:mrow></mml:math></inline-formula>0.63 for HadGEM2-ES). The negative <inline-formula><mml:math id="M154" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula> coefficients
here indicate an increasing cloud water path under increasing upward motion
in the atmosphere.</p>
      <p>The cloud optical depth (<inline-formula><mml:math id="M155" display="inline"><mml:mi mathvariant="italic">τ</mml:mi></mml:math></inline-formula>) can be estimated from the cloud liquid water
path (LWP) and the cloud droplet effective radius at cloud top
(<inline-formula><mml:math id="M156" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) through the following relation (Stephens, 1978):

                  <disp-formula id="Ch1.E1" content-type="numbered"><mml:math id="M157" display="block"><mml:mstyle class="stylechange" displaystyle="true"/><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mi mathvariant="italic">τ</mml:mi><mml:mo>≈</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">3</mml:mn><mml:mn mathvariant="normal">2</mml:mn></mml:mfrac></mml:mstyle><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mtext>LWP</mml:mtext><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>

            LWP has units of g <inline-formula><mml:math id="M158" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M159" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is in
<inline-formula><mml:math id="M160" display="inline"><mml:mrow><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>. Note that Table 1 gives the change in cloud water path
including ice, whereas LWP in Eq. (1) only refers to liquid water. As
the estimate of <inline-formula><mml:math id="M161" display="inline"><mml:mi mathvariant="italic">τ</mml:mi></mml:math></inline-formula> using Eq. (1) requires the variable <inline-formula><mml:math id="M162" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>,
<inline-formula><mml:math id="M163" display="inline"><mml:mi mathvariant="italic">τ</mml:mi></mml:math></inline-formula> could only be estimated for NorESM1-M (Fig. 8b) and HadGEM2-ES
(Fig. 8d). As seen in Fig. 8, the sea salt injection results in an increase
in <inline-formula><mml:math id="M164" display="inline"><mml:mi mathvariant="italic">τ</mml:mi></mml:math></inline-formula> in most regions within the injection area in both ESMs. The mean
increase in <inline-formula><mml:math id="M165" display="inline"><mml:mi mathvariant="italic">τ</mml:mi></mml:math></inline-formula> over the injection area is 10 % for NorESM1-M and
6 % for HadGEM2-ES (Table 1). However, locally <inline-formula><mml:math id="M166" display="inline"><mml:mi mathvariant="italic">τ</mml:mi></mml:math></inline-formula> increases by more
than 20 % in both models. An anti-correlation between the relative change
in <inline-formula><mml:math id="M167" display="inline"><mml:mi mathvariant="italic">τ</mml:mi></mml:math></inline-formula> and the corresponding change in <inline-formula><mml:math id="M168" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> exists, although
moderate to weak, in the two models (Fig. 10a and b). A negative correlation
coefficient is expected due to the Twomey effect. The correlation between the
relative changes in <inline-formula><mml:math id="M169" display="inline"><mml:mi mathvariant="italic">τ</mml:mi></mml:math></inline-formula> and CDNC is even weaker (Fig. 10c and d).
By far the strongest correlation is the one between the relative changes in
<inline-formula><mml:math id="M170" display="inline"><mml:mi mathvariant="italic">τ</mml:mi></mml:math></inline-formula> and LWP (Fig. 10e and f). Thus, despite the increase in
CDNC due to the sea salt injection, it seems that local changes in
<inline-formula><mml:math id="M171" display="inline"><mml:mi mathvariant="italic">τ</mml:mi></mml:math></inline-formula> are controlled largely by changes in LWP, which in turn are
caused mainly by changes in the atmospheric circulation.</p>
      <p>Figure 9 shows the multi-model mean changes in omega-vertical velocity (a),
cloud water path (b), and precipitation (c). In large regions over the
eastern Pacific Ocean, reduced ascent (or increased subsidence) (Fig. 9a) is
accompanied by reductions in cloud water path (Fig. 9b) and precipitation
(Fig. 9c). On the other hand, enhanced ascent over, for example, Africa, northern South America, and in
the South Pacific Convergence Zone coincides with
increased cloud water path and precipitation. These patterns of enhanced
cloud water, precipitation, and atmospheric upward motion over low-latitude
continents combined with reduced cloud water, precipitation, and ascent over
some low-latitude ocean regions have been reported previously by Bala
et al. (2011), Alterskjær et al. (2013), Niemeier et al. (2013), Crook
et al. (2015), and Stjern et al. (2017). This is a result of reduced
absorption of solar radiation over ocean where sea salt concentrations are
elevated while continental regions are left less affected, increasing the
land–sea gradient over the tropics. This induces enhanced convection over
land and thereby increased cloud formation and precipitation and reduced
cloud formation over ocean due to reduced upward motion or increased
subsidence. Furthermore, the increase in upward motion and cloud water
content north-east of Australia, and the reduction in these variables over
the eastern Pacific Ocean west of South America, indicate a strengthening of
the Pacific Walker cell and South Pacific Convergence Zone.</p>
      <p>In summary, the aerosol indirect effect of the injected sea salt particles
can be seen in the mean increase in CDNC, mean decrease in cloud-top
effective droplet radius, and mean increase in cloud optical depth over the
injection area. However, in these fully coupled simulations the aerosol
direct and indirect effects of the injected sea salt particles also cause
changes in the atmospheric circulation that generate a redistribution of
cloud water, with increasing cloud water and precipitation in regions of
enhanced atmospheric ascent and decreasing cloud water and precipitation in
regions of decreased atmospheric upward motion. Within the injection area,
the local response in cloud optical depth is controlled to a larger extent by
these changes in cloud water than by changes in CDNC or
<inline-formula><mml:math id="M172" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. This means that it is not necessarily the regions that are
exposed to the largest aerosol indirect effect of the injected particles that
are exposed to the largest enhancement in cloud albedo.</p>
</sec>
<sec id="Ch1.S3.SS2.SSS2">
  <title>Change in net SW radiation at the TOA</title>
      <p>The global-mean difference in net SW radiation at the TOA (Fig. 11a) between
G4sea-salt and RCP4.5 is rather constant at <inline-formula><mml:math id="M173" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.0 <inline-formula><mml:math id="M174" display="inline"><mml:mrow><mml:mi mathvariant="normal">W</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>
throughout the 50 years of sea spray climate engineering in NorESM1-M and
GISS-E2-R, and hence similar in magnitude to the global-mean ERF by the sea salt
injection. Thus, in these two ESMs a constant sea salt injection in time
increases the planetary albedo by a factor that is roughly constant in
time, despite slow feedbacks being included in these fully coupled
simulations. In HadGEM2-ES, the difference in net SW radiation at the TOA
between G4sea-salt and RCP4.5 is increasing somewhat during the 50 years of
sea spray climate engineering, which means that a constant sea salt injection
rate in HadGEM2-ES generates a slowly increasing planetary albedo. Positive
cloud feedback should be contributing to this in HadGEM2-ES, which will act
to increase the radiative effect of climate engineering over time, in
contrast to the negative cloud feedback in NorESM1-M (Andrews et al., 2012).
However, there is also some indication of an increasing difference in net SW
radiation between G4sea-salt and RCP4.5 over time in HadGEM2-ES for the
clear-sky fluxes (Fig. 11b), indicating a contribution from the sea ice
albedo feedback. The reduction in net SW radiation at the TOA over the Arctic
region, caused by the sea spray climate engineering, is larger in HadGEM2-ES
(Fig. 12c) than in the two other ESMs (Fig. 12a and b), which indicates that
the sea ice albedo feedback is strongest in HadGEM2-ES. HadGEM2-ES also has
a larger reduction in surface temperature than the other two models for the
Arctic region (not shown). However, reductions in global-mean surface
temperature are very similar in the three models (Table 1).</p>
      <p>Whereas the global-mean changes in net SW radiation at the TOA shown in
Fig. 11a and b are to some extent influenced by changes in surface albedo,
the corresponding changes over the injection area over ocean between
30<inline-formula><mml:math id="M175" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N and 30<inline-formula><mml:math id="M176" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S are only due to atmospheric changes
(Fig. 11c and d). As expected, the reductions in net SW radiation are on
average larger between 30<inline-formula><mml:math id="M177" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N and 30<inline-formula><mml:math id="M178" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S, where the sea salt
injection occurs, than globally. The total change in net SW radiation over
the injection area (Fig. 11c) is rather constant with time in NorESM1-M and
GISS-E2-R, similar to the global-mean curves in Fig. 11a, but slowly
increasing with time in HadGEM2-ES. The change in clear-sky net SW radiation
over the injection area (Fig. 11d) is rather constant with time in all three
ESMs. Similar to the ERF in Fig. 3, the change in clear-sky net SW radiation
over the injection area is almost equal to the total change in net SW
radiation in the three ESMs, again indicating a large potential of the
aerosol direct effect in regions of low cloudiness. In GISS-E2-R and
NorESM1-M, the change in net SW radiation is even larger in clear-sky
conditions than in total.</p>
</sec>
</sec>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <title>Conclusions</title>
      <p>In this study, we have analysed the GeoMIP G4sea-salt experiment using three
different ESMs: NorESM1-M, GISS-E2-R, and HadGEM2-ES. Sea spray climate
engineering is applied on top of the RCP4.5 scenario between years 2020 and
2070, with sea salt injection rates set to generate a global-mean ERF of
<inline-formula><mml:math id="M179" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.0 <inline-formula><mml:math id="M180" display="inline"><mml:mrow><mml:mi mathvariant="normal">W</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>.</p>
      <p>Although sea spray climate engineering is often referred to as marine cloud
brightening, we find that the global-mean clear-sky ERF is as large as the
total ERF in all three ESMs, indicating the large potential of the aerosol
direct effect in regions of low cloudiness. The largest regional enhancement
in ERF due to the presence of clouds, compared to the ERF in clear-sky
conditions, occurs as expected in the subtropical stratocumulus regions off
the west coasts of the American and African continents. However, in most
regions outside these subtropical regions, the clear-sky ERF is as large as
the total ERF. Furthermore, the correlation between low-level cloud cover and
the strength of the ERF by the injected particles within the injection area
is weak or non-existent in the models. These factors together indicate that,
with the exception of the subtropical stratocumulus regions, sea spray
climate engineering is as efficient in clear-sky conditions as in cloudy-sky
conditions.</p>
      <p>The aerosol indirect effect of the injected particles is seen in the increase
in CDNC, reduction in <inline-formula><mml:math id="M181" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, and increase in cloud optical
depth over the injection area. However, sea spray climate engineering also
causes changes in the atmospheric circulation, which results in
a redistribution of cloud water. We find that the local response of the cloud
optical depth depends to a larger extent on changes in the LWP than on
changes in CDNC or in <inline-formula><mml:math id="M182" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>.</p>
      <p>These results show that many important secondary effects on clouds are
neglected if sea spray climate engineering is investigated by the simplified
method of increasing the number of cloud droplets, as has been done
previously in a number of studies (Latham et al., 2008; Jones at al., 2009;
Rasch et al., 2009), or when considering injection in a limited area (Jones
and Haywood, 2012). The results here may also have implications for which
regions may be most effective in generating a cooling from sea spray
injection, as the aerosol direct effect likely plays a more important role
than previously thought.</p>
</sec>

      
      </body>
    <back><notes notes-type="dataavailability">

      <p>All model data are available through the Earth System Grid
or upon request to the contact author.</p>
  </notes><notes notes-type="competinginterests">

      <p>The authors declare that they have no conflict of
interest.</p>
  </notes><notes notes-type="sistatement">

      <p>This article is part of the special issue “The Geoengineering
Model Intercomparison Project (GeoMIP): Simulations of solar radiation
reduction methods (ACP/GMD inter-journal SI)”. It is not associated with a
conference.</p>
  </notes><ack><title>Acknowledgements</title><p>Lars Ahlm, Helene Muri, Camilla W. Stjern, and Jón Egill Kristjánsson were supported by the Research Council of Norway (grant
number 229760/E10) (EXPECT). Lars Ahlm was also supported by the NordForsk approved Nordic Centre of Excellence “CRAICC”, and by
the Swedish Research Council FORMAS (grant 2015-748). Helene Muri received further funding from RCN grant 261862/E10. Norwegian
Research Council's Program for supercomputing, NOTUR, provided computing time (NN9182K). Data storage on Norstore (NS9033K,
NS2345K). Simulations with GISS-E2-R, performed by Ben Kravitz, were supported by the NASA High-End Computing (HEC) Program through
the NASA Center for Climate Simulation (NCCS) at Goddard Space Flight Center. The Pacific Northwest National Laboratory is operated
for the US Department of Energy by Battelle Memorial Institute under contract DE-AC05-76RL01830. We also thank all participants of
the Geoengineering Model Intercomparison Project and their model development teams, CLIVAR/WCRP Working Group on Coupled Modeling for
endorsing GeoMIP, and the scientists managing the Earth System Grid data nodes who have assisted with making GeoMIP and CMIP5 output
available.<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?>
Edited by: Ulrike Lohmann<?xmltex \hack{\newline}?>
Reviewed by:  two anonymous referees</p></ack><ref-list>
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  </ref-list><app-group content-type="float"><app><title/>

    </app></app-group></back>
    <!--<article-title-html>Marine cloud brightening – as effective without clouds</article-title-html>
<abstract-html><p class="p">Marine cloud brightening through sea spray injection has been proposed as
a climate engineering method for avoiding the most severe consequences of
global warming. A limitation of most of the previous modelling studies on
marine cloud brightening is that they have either considered individual
models or only investigated the effects of a specific increase in the number
of cloud droplets. Here we present results from coordinated simulations with
three Earth system models (ESMs) participating in the Geoengineering Model
Intercomparison Project (GeoMIP) G4sea-salt experiment. Injection rates of
accumulation-mode sea spray aerosol particles over ocean between
30° N and 30° S are set in each model to generate
a global-mean effective radiative forcing (ERF) of −2.0 W m<sup>−2</sup>
at the top of the atmosphere. We find that the injection increases the cloud
droplet number concentration in lower layers, reduces the cloud-top effective
droplet radius, and increases the cloud optical depth over the injection
area. We also find, however, that the global-mean clear-sky ERF by the
injected particles is as large as the corresponding total ERF in all three
ESMs, indicating a large potential of the aerosol direct effect in regions of
low cloudiness. The largest enhancement in ERF due to the presence of clouds
occur as expected in the subtropical stratocumulus regions off the west
coasts of the American and African continents. However, outside these
regions, the ERF is in general equally large in cloudy and clear-sky
conditions. These findings suggest a more important role of the aerosol
direct effect in sea spray climate engineering than previously thought.</p></abstract-html>
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