<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing DTD v3.0 20080202//EN" "http://dtd.nlm.nih.gov/publishing/3.0/journalpublishing3.dtd">
<article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" article-type="research-article" dtd-version="3.0" xml:lang="en">
<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>
</journal-title-group>
<issn pub-type="epub">1680-7324</issn>
<publisher><publisher-name>Copernicus GmbH</publisher-name>
<publisher-loc>Göttingen, Germany</publisher-loc>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.5194/acp-12-9041-2012</article-id>
<title-group>
<article-title>Adjoint sensitivity of global cloud droplet number to aerosol and  dynamical parameters</article-title>
</title-group>
<contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Karydis</surname>
<given-names>V. A.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Capps</surname>
<given-names>S. L.</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Russell</surname>
<given-names>A. G.</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Nenes</surname>
<given-names>A.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
</contrib-group><aff id="aff1">
<label>1</label>
<addr-line>School of Earth and Atmospheric Sciences, Georgia Institute of  Technology, Atlanta, GA, USA</addr-line>
</aff>
<aff id="aff2">
<label>2</label>
<addr-line>School of Chemical and Biomolecular Engineering, Georgia Institute of  Technology, Atlanta, GA, USA</addr-line>
</aff>
<aff id="aff3">
<label>3</label>
<addr-line>School of Civil and Environmental Engineering, Georgia Institute of  Technology, Atlanta, GA, USA</addr-line>
</aff>
<pub-date pub-type="epub">
<day>04</day>
<month>10</month>
<year>2012</year>
</pub-date>
<volume>12</volume>
<issue>19</issue>
<fpage>9041</fpage>
<lpage>9055</lpage>
<permissions>
<license xlink:type="simple">
<license-p>This is an open-access article ditributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.</license-p>
</license>
</permissions>
<self-uri xlink:href="http://www.atmos-chem-phys.net/12/9041/2012/acp-12-9041-2012.html">This article is available from http://www.atmos-chem-phys.net/12/9041/2012/acp-12-9041-2012.html</self-uri>
<self-uri xlink:href="http://www.atmos-chem-phys.net/12/9041/2012/acp-12-9041-2012.pdf">The full text article is available as a PDF file from http://www.atmos-chem-phys.net/12/9041/2012/acp-12-9041-2012.pdf</self-uri>
<abstract>
<p>We present the development of the adjoint of a comprehensive cloud droplet
  formation parameterization for use in aerosol-cloud-climate
  interaction studies. The adjoint efficiently and accurately calculates the
  sensitivity of cloud droplet number concentration (CDNC) to all
  parameterization inputs (e.g., updraft velocity, water uptake
  coefficient, aerosol number and hygroscopicity) with a single
  execution. The adjoint is then integrated within three
  dimensional (3-D) aerosol modeling frameworks to quantify the
  sensitivity of CDNC formation globally to each
  parameter. Sensitivities are computed for year-long executions of
  the NASA Global Modeling Initiative (GMI) Chemical Transport Model
  (CTM), using wind fields computed with the Goddard Institute for
  Space Studies (GISS) Global Circulation Model (GCM) II&apos;,
  and the GEOS-Chem CTM, driven by meteorological input from the
  Goddard Earth Observing System (GEOS) of the NASA Global Modeling
  and Assimilation Office (GMAO). We find that over polluted (pristine)
  areas, CDNC is more sensitive to updraft velocity
  and uptake coefficient (aerosol number and hygroscopicity).  Over
  the oceans of the Northern Hemisphere, addition of anthropogenic or biomass
  burning aerosol is predicted to increase CDNC in contrast to coarse-mode
  sea salt which tends to decrease CDNC. Over the Southern Oceans,
  CDNC is most sensitive to sea salt, which is the main aerosol
  component of the region. Globally, CDNC is predicted to be less
  sensitive to changes in the hygroscopicity of the aerosols than in
  their concentration with the exception of dust where CDNC is very
  sensitive to particle hydrophilicity over arid areas. Regionally,
  the sensitivities differ considerably between the two frameworks and
  quantitatively reveal why the models differ considerably in their indirect forcing
  estimates.</p>
</abstract>
<counts><page-count count="15"/></counts>
</article-meta>
</front>
<body/>
<back>
<ref-list>
<title>References</title>
<ref id="ref1">
<label>1</label><mixed-citation publication-type="other" xlink:type="simple"> Abdul-Razzak,~H. and Ghan,~S J.: A~parameterization of aerosol activation 2. Multiple aerosol types,~J. Geophys. Res., 105, 6837–6844, http://dx.doi.org/10.1029/1999JD901161doi:10.1029/1999JD901161, 2000. </mixed-citation>
</ref>
<ref id="ref2">
<label>2</label><mixed-citation publication-type="other" xlink:type="simple"> Alexander,~B., Park,~R J., Jacob,~D J., Li,~Q B., Yantosca,~R M., Savarino,~J., Lee,~C C W., and Thiemens,~M H.: Sulfate formation in sea-salt aerosols: constraints from oxygen isotopes,~J. Geophys. Res., 110, D10307, http://dx.doi.org/10.1029/2004jd005659doi:10.1029/2004jd005659, 2005. </mixed-citation>
</ref>
<ref id="ref3">
<label>3</label><mixed-citation publication-type="other" xlink:type="simple"> D&apos;Almeida,~G A.: On the variability of desert aerosol radiative characteristics,~J. Geophys. Res., 92, 3017–3026, 1987. </mixed-citation>
</ref>
<ref id="ref4">
<label>4</label><mixed-citation publication-type="other" xlink:type="simple"> Alterskjær, K., Kristjénsson, J. E., and Seland, Ø.: Sensitivity to deliberate sea salt seeding of marine clouds – observations and model simulations, Atmos. Chem. Phys., 12, 2795–2807, http://dx.doi.org/10.5194/acp-12-2795-2012doi:10.5194/acp-12-2795-2012, 2012. </mixed-citation>
</ref>
<ref id="ref5">
<label>5</label><mixed-citation publication-type="other" xlink:type="simple"> Amos, H. M., Jacob, D. J., Holmes, C. D., Fisher, J. A., Wang, Q., Yantosca, R. M., Corbitt, E. S., Galarneau, E., Rutter, A. P., Gustin, M. S., Steffen, A., Schauer, J. J., Graydon, J. A., Louis, V. L. St., Talbot, R. W., Edgerton, E. S., Zhang, Y., and Sunderland, E. M.: Gas-particle partitioning of atmospheric Hg(II) and its effect on global mercury deposition, Atmos. Chem. Phys., 12, 591–603, http://dx.doi.org/10.5194/acp-12-591-2012doi:10.5194/acp-12-591-2012, 2012. </mixed-citation>
</ref>
<ref id="ref6">
<label>6</label><mixed-citation publication-type="other" xlink:type="simple"> Anderson,~B E., Grant,~W B., Gregory,~G L., Browell,~E V., Collins,~J E., Sachse,~G W., Bagwell,~D R., Hudgins,~C H., Blake,~B R., and Blake,~N J.: Aerosols from biomass burning over the tropical South Atlantic region: distributions and impacts,~J. Geophys. Res., 101, 24117–24137, http://dx.doi.org/10.1029/96JD00717doi:10.1029/96JD00717, 1996. </mixed-citation>
</ref>
<ref id="ref7">
<label>7</label><mixed-citation publication-type="other" xlink:type="simple"> Anttila, T. and Kerminen, V.-M.: On the contribution of Aitken mode particles to cloud droplet populations at continental background areas – a parametric sensitivity study, Atmos. Chem. Phys., 7, 4625–4637, http://dx.doi.org/10.5194/acp-7-4625-2007doi:10.5194/acp-7-4625-2007, 2007. </mixed-citation>
</ref>
<ref id="ref8">
<label>8</label><mixed-citation publication-type="other" xlink:type="simple"> Barahona,~D. and Nenes,~A.: Parameterization of cloud droplet formation in large-scale models: including effects of entrainment,~J. Geophys. Res., 112, D16206, http://dx.doi.org/10.1029/2007JD008473doi:10.1029/2007JD008473, 2007. </mixed-citation>
</ref>
<ref id="ref9">
<label>9</label><mixed-citation publication-type="other" xlink:type="simple"> Barahona, D., West, R. E. L., Stier, P., Romakkaniemi, S., Kokkola, H., and Nenes, A.: Comprehensively accounting for the effect of giant CCN in cloud activation parameterizations, Atmos. Chem. Phys., 10, 2467–2473, http://dx.doi.org/10.5194/acp-10-2467-2010doi:10.5194/acp-10-2467-2010, 2010. </mixed-citation>
</ref>
<ref id="ref10">
<label>10</label><mixed-citation publication-type="other" xlink:type="simple"> Barahona,~D., Sotiropoulou,~R E P., and Nenes,~A.: Global distribution of cloud droplet number concentration, autoconversion rate and aerosol indirect effect under diabatic droplet activation,~J. Geophy. Res., 116, D09203, http://dx.doi.org/10.1029/2010JD015274doi:10.1029/2010JD015274, 2011.  </mixed-citation>
</ref>
<ref id="ref11">
<label>11</label><mixed-citation publication-type="other" xlink:type="simple"> Bartholomew-Biggs, M.: Using Forward Accumulation for Automatic Differentiation of Implicitly-Defined Functions, Computational Optimization and Applications, 9, 65–84, 1998.  </mixed-citation>
</ref>
<ref id="ref12">
<label>12</label><mixed-citation publication-type="other" xlink:type="simple"> Bey,~I., Jacob,~D J., Yantosca,~R M., Logan,~J A., Field,~B D., Fiore,~A M., Li,~Q B., Liu,~H G Y., Mickley,~L J., and Schultz,~M G.: Global modeling of tropospheric chemistry with assimilated meteorology: model description and evaluation,~J. Geophys. Res., 106, 23073–23095, http://dx.doi.org/10.1029/2001jd000807doi:10.1029/2001jd000807, 2001. </mixed-citation>
</ref>
<ref id="ref13">
<label>13</label><mixed-citation publication-type="other" xlink:type="simple"> Bond,~T C., Bhardwaj,~E., Dong,~R., Jogani,~R., Jung,~S K., Roden,~C., Streets,~D G., and Trautmann,~N M.: Historical emissions of black and organic carbon aerosol from energy-related combustion, 1850–2000, Global Biogeochem. Cy., 21, GB2018, http://dx.doi.org/10.1029/2006gb002840doi:10.1029/2006gb002840, 2007. </mixed-citation>
</ref>
<ref id="ref14">
<label>14</label><mixed-citation publication-type="other" xlink:type="simple"> Boucher,~O. and Lohmann,~U.: The sulfate-CCN-cloud albedo effect – a~sensitivity study with 2 general-circulation models, Tellus B, 47, 281–300, http://dx.doi.org/10.1034/j.1600-0889.47.issue3.1.xdoi:10.1034/j.1600-0889.47.issue3.1.x, 1995. </mixed-citation>
</ref>
<ref id="ref15">
<label>15</label><mixed-citation publication-type="other" xlink:type="simple"> Capps, S. L., Henze, D. K., Hakami, A., Russell, A. G., and Nenes, A.: ANISORROPIA: the adjoint of the aerosol thermodynamic model ISORROPIA, Atmos. Chem. Phys., 12, 527–543, http://dx.doi.org/10.5194/acp-12-527-2012doi:10.5194/acp-12-527-2012, 2012.  </mixed-citation>
</ref>
<ref id="ref16">
<label>16</label><mixed-citation publication-type="other" xlink:type="simple"> Chuang,~C C., Penner,~J E., Taylor,~K E., Grossman,~A S., and Walton,~J J.: An assessment of the radiative effects of anthropogenic sulfate,~J. Geophys. Res., 102, 3761–3778, 1997. </mixed-citation>
</ref>
<ref id="ref17">
<label>17</label><mixed-citation publication-type="other" xlink:type="simple"> Chuang,~P Y., Collins,~D R., Pawlowska,~H., Snider,~J R., Jonsson,~H H., Brenguier,~J L., Flagan,~R C., and Seinfeld,~J H.: CCN measurements during ACE-2 and their relationship to cloud microphysical properties, Tellus B, 52, 843–867, 2000.  </mixed-citation>
</ref>
<ref id="ref18">
<label>18</label><mixed-citation publication-type="other" xlink:type="simple"> Considine, D. B., Bergmann, D. J., and Liu, H.: Sensitivity of Global Modeling Initiative chemistry and transport model simulations of radon-222 and lead-210 to input meteorological data, Atmos. Chem. Phys., 5, 3389–3406, http://dx.doi.org/10.5194/acp-5-3389-2005doi:10.5194/acp-5-3389-2005, 2005.  </mixed-citation>
</ref>
<ref id="ref19">
<label>19</label><mixed-citation publication-type="other" xlink:type="simple"> Ervens,~B., Cubison,~M., Andrews,~E., Feingold,~G., Ogren,~J A., Jimenez,~J L., DeCarlo,~P., and Nenes,~A.: Prediction of cloud condensation nucleus number concentration using measurements of aerosol size distributions and composition and light scattering enhancement due to humidity,~J. Geophys. Res., 112, D10S32, http://dx.doi.org/10.1029/2006jd007426doi:10.1029/2006jd007426, 2007. </mixed-citation>
</ref>
<ref id="ref20">
<label>20</label><mixed-citation publication-type="other" xlink:type="simple"> Ervens, B., Cubison, M. J., Andrews, E., Feingold, G., Ogren, J. A., Jimenez, J. L., Quinn, P. K., Bates, T. S., Wang, J., Zhang, Q., Coe, H., Flynn, M., and Allan, J. D.: CCN predictions using simplified assumptions of organic aerosol composition and mixing state: a synthesis from six different locations, Atmos. Chem. Phys., 10, 4795–4807, http://dx.doi.org/10.5194/acp-10-4795-2010doi:10.5194/acp-10-4795-2010, 2010. </mixed-citation>
</ref>
<ref id="ref21">
<label>21</label><mixed-citation publication-type="other" xlink:type="simple"> Fairlie,~T D., Jacob,~D J., and Park,~R J.: The impact of transpacific transport of mineral dust in the United States, Atmos. Environ., 41, 1251–1266, http://dx.doi.org/10.1016/j.atmosenv.2006.09.048doi:10.1016/j.atmosenv.2006.09.048, 2007. </mixed-citation>
</ref>
<ref id="ref22">
<label>22</label><mixed-citation publication-type="other" xlink:type="simple"> Fisher,~J A., Jacob,~D J., Wang,~Q Q., Bahreini,~R., Carouge,~C C., Cubison,~M J., Dibb,~J E., Diehl,~T., Jimenez,~J L., Leibensperger,~E M., Lu,~Z F., Meinders,~M B J., Pye,~H O T., Quinn,~P K., Sharma,~S., Streets,~D G., van Donkelaar,~A., and Yantosca,~R M.: Sources, distribution, and acidity of sulfate-ammonium aerosol in the Arctic in winter-spring, Atmos. Environ., 45, 7301–7318, http://dx.doi.org/10.1016/j.atmosenv.2011.08.030doi:10.1016/j.atmosenv.2011.08.030, 2011. </mixed-citation>
</ref>
<ref id="ref23">
<label>23</label><mixed-citation publication-type="other" xlink:type="simple"> Fountoukis,~C. and Nenes,~A.: Continued development of a~cloud droplet formation parameterization for global climate models,~J. Geophys. Res., 110, D11212, http://dx.doi.org/10.1029/2004jd005591doi:10.1029/2004jd005591, 2005. </mixed-citation>
</ref>
<ref id="ref24">
<label>24</label><mixed-citation publication-type="other" xlink:type="simple"> Fountoukis,~C., Nenes,~A., Meskhidze,~N., Bahreini,~R., Conant,~W C., Jonsson,~H., Murphy,~S., Sorooshian,~A., Varutbangkul,~V., Brechtel,~F., Flagan,~R C., and Seinfeld,~J H.: Aerosol-cloud drop concentration closure for clouds sampled during the International Consortium for Atmospheric Research on Transport and Transformation 2004 campaign,~J. Geophys. Res., 112, D10S30, http://dx.doi.org/10.1029/2006jd007272doi:10.1029/2006jd007272, 2007. </mixed-citation>
</ref>
<ref id="ref25">
<label>25</label><mixed-citation publication-type="other" xlink:type="simple"> Ghan,~S J., Guzman,~G., and Abdul-Razzak,~H.: Competition between sea salt and sulfate particles as cloud condensation nuclei,~J. Atmos. Sci., 55, 3340–3347, 1998. </mixed-citation>
</ref>
<ref id="ref26">
<label>26</label><mixed-citation publication-type="other" xlink:type="simple"> Ghil,~M. and Malanotterizzoli,~P.: Data assimilation in meteorology and oceanography, Adv. Geophys., 33, 141–266, http://dx.doi.org/10.1016/s0065-2687(08)60442-2doi:10.1016/s0065-2687(08)60442-2, 1991. </mixed-citation>
</ref>
<ref id="ref27">
<label>27</label><mixed-citation publication-type="other" xlink:type="simple"> Giering,~R.: Tangent linear and adjoint biogeochemical models, in: Inverse Methods in Global Biogeochemical Cycles, edited by: Kasibhatla,~P., Heimann,~M., Rayner,~P., Mahowald,~N., Prinn,~R G., and Hartley,~D E., Geophysical Monograph Series, American Geophysical Union, Washington, 33–48, 2000. </mixed-citation>
</ref>
<ref id="ref28">
<label>28</label><mixed-citation publication-type="other" xlink:type="simple"> Guibert,~S., Snider,~J R., and Brenguier,~J L.: Aerosol activation in marine stratocumulus clouds: 1. measurement validation for a~closure study,~J. Geophys. Res., 108, 8628, http://dx.doi.org/10.1029/2002JD002678doi:10.1029/2002JD002678, 2003. </mixed-citation>
</ref>
<ref id="ref29">
<label>29</label><mixed-citation publication-type="other" xlink:type="simple"> Haerter,~J O., Roeckner,~E., Tomassini,~L., and von Storch,~J S.: Parametric uncertainty effects on aerosol radiative forcing, Geophys. Res. Lett., 36, L15707, http://dx.doi.org/10.1029/2009gl039050doi:10.1029/2009gl039050, 2009. </mixed-citation>
</ref>
<ref id="ref30">
<label>30</label><mixed-citation publication-type="other" xlink:type="simple"> Hakami,~A., Henze,~D K., Seinfeld,~J H., Chai,~T., Tang,~Y., Carmichael,~G R., and Sandu,~A.: Adjoint inverse modeling of black carbon during the Asian Pacific Regional Aerosol Characterization Experiment,~J. Geophys. Res., 110, D14301, http://dx.doi.org/10.1029/2004jd005671doi:10.1029/2004jd005671, 2005. </mixed-citation>
</ref>
<ref id="ref31">
<label>31</label><mixed-citation publication-type="other" xlink:type="simple"> Hall,~M C G.: Application of adjoint sensitivity theory to an atmospheric general-circulation model,~J. Atmos. Sci., 43, 2644–2651, 1986. </mixed-citation>
</ref>
<ref id="ref32">
<label>32</label><mixed-citation publication-type="other" xlink:type="simple"> Hascoët, L. and Pascual, V.: TAPENADE 2.1 user&apos;s guide (No. 0300), Sophia Antipolis Cedex: INRIA Sophia Antipolis, 2004.   </mixed-citation>
</ref>
<ref id="ref33">
<label>33</label><mixed-citation publication-type="other" xlink:type="simple"> Henze, D. K., Seinfeld, J. H., and Shindell, D. T.: Inverse modeling and mapping US air quality influences of inorganic PM$_2.5$ precursor emissions using the adjoint of GEOS-Chem, Atmos. Chem. Phys., 9, 5877–5903, http://dx.doi.org/10.5194/acp-9-5877-2009doi:10.5194/acp-9-5877-2009, 2009. </mixed-citation>
</ref>
<ref id="ref34">
<label>34</label><mixed-citation publication-type="other" xlink:type="simple"> Karydis,~V A., Kumar,~P., Barahona,~D., Sokolik,~I N., and Nenes,~A.: On the effect of dust particles on global cloud condensation nuclei and cloud droplet number,~J. Geophys. Res., 116, D23204, http://dx.doi.org/10.1029/2011jd016283doi:10.1029/2011jd016283, 2011. </mixed-citation>
</ref>
<ref id="ref35">
<label>35</label><mixed-citation publication-type="other" xlink:type="simple"> Kopacz, M., Mauzerall, D. L., Wang, J., Leibensperger, E. M., Henze, D. K., and Singh, K.: Origin and radiative forcing of black carbon transported to the Himalayas and Tibetan Plateau, Atmos. Chem. Phys., 11, 2837–2852, http://dx.doi.org/10.5194/acp-11-2837-2011doi:10.5194/acp-11-2837-2011, 2011. </mixed-citation>
</ref>
<ref id="ref36">
<label>36</label><mixed-citation publication-type="other" xlink:type="simple"> Korhonen, H., Carslaw, K. S., and Romakkaniemi, S.: Enhancement of marine cloud albedo via controlled sea spray injections: a global model study of the influence of emission rates, microphysics and transport, Atmos. Chem. Phys., 10, 4133–4143, http://dx.doi.org/10.5194/acp-10-4133-2010doi:10.5194/acp-10-4133-2010, 2010. </mixed-citation>
</ref>
<ref id="ref37">
<label>37</label><mixed-citation publication-type="other" xlink:type="simple"> Kumar, P., Sokolik, I. N., and Nenes, A.: Parameterization of cloud droplet formation for global and regional models: including adsorption activation from insoluble CCN, Atmos. Chem. Phys., 9, 2517–2532, http://dx.doi.org/10.5194/acp-9-2517-2009doi:10.5194/acp-9-2517-2009, 2009. </mixed-citation>
</ref>
<ref id="ref38">
<label>38</label><mixed-citation publication-type="other" xlink:type="simple"> Kumar, P., Sokolik, I. N., and Nenes, A.: Measurements of cloud condensation nuclei activity and droplet activation kinetics of fresh unprocessed regional dust samples and minerals, Atmos. Chem. Phys., 11, 3527–3541, http://dx.doi.org/10.5194/acp-11-3527-2011doi:10.5194/acp-11-3527-2011, 2011a. </mixed-citation>
</ref>
<ref id="ref39">
<label>39</label><mixed-citation publication-type="other" xlink:type="simple"> Kumar, P., Sokolik, I. N., and Nenes, A.: Cloud condensation nuclei activity and droplet activation kinetics of wet processed regional dust samples and minerals, Atmos. Chem. Phys., 11, 8661–8676, http://dx.doi.org/10.5194/acp-11-8661-2011doi:10.5194/acp-11-8661-2011, 2011b. </mixed-citation>
</ref>
<ref id="ref40">
<label>40</label><mixed-citation publication-type="other" xlink:type="simple"> Lance,~S., Nenes,~A., and Rissman,~T A.: Chemical and dynamical effects on cloud droplet number: Implications for estimates of the aerosol indirect effect,~J. Geophys. Res., 109, D22208, http://dx.doi.org/10.1029/2004jd004596doi:10.1029/2004jd004596, 2004. </mixed-citation>
</ref>
<ref id="ref41">
<label>41</label><mixed-citation publication-type="other" xlink:type="simple"> Le Dimet,~F X. and Talagrand,~O.: Variational algorithms for analysis and assimilation of meteorological observations: theoretical aspects, Tellus B, 38, 97–110, 1986. </mixed-citation>
</ref>
<ref id="ref42">
<label>42</label><mixed-citation publication-type="other" xlink:type="simple"> Lee,~C., Martin,~R V., van Donkelaar,~A., Lee,~H., Dickerson,~R R., Hains,~J C., Krotkov,~N., Richter,~A., Vinnikov,~K., and Schwab,~J J.: \chemSO_2 emissions and lifetimes: estimates from inverse modeling using in situ and global, space-based (SCIAMACHY and OMI) observations,~J. Geophys. Res., 116, D06304, http://dx.doi.org/10.1029/2010jd014758doi:10.1029/2010jd014758, 2011a. </mixed-citation>
</ref>
<ref id="ref43">
<label>43</label><mixed-citation publication-type="other" xlink:type="simple"> Lee, L. A., Carslaw, K. S., Pringle, K. J., Mann, G. W., and Spracklen, D. V.: Emulation of a complex global aerosol model to quantify sensitivity to uncertain parameters, Atmos. Chem. Phys., 11, 12253–12273, http://dx.doi.org/10.5194/acp-11-12253-2011doi:10.5194/acp-11-12253-2011, 2011b. </mixed-citation>
</ref>
<ref id="ref44">
<label>44</label><mixed-citation publication-type="other" xlink:type="simple"> Leibensperger, E. M., Mickley, L. J., Jacob, D. J., Chen, W.-T., Seinfeld, J. H., Nenes, A., Adams, P. J., Streets, D. G., Kumar, N., and Rind, D.: Climatic effects of 1950–2050 changes in US anthropogenic aerosols – Part 1: Aerosol trends and radiative forcing, Atmos. Chem. Phys., 12, 3333–3348, http://dx.doi.org/10.5194/acp-12-3333-2012doi:10.5194/acp-12-3333-2012, 2012. </mixed-citation>
</ref>
<ref id="ref45">
<label>45</label><mixed-citation publication-type="other" xlink:type="simple"> Lions,~J L.: Optimal control of systems governed by partial differential equations, Springer, Berlin, Germany, 1971. </mixed-citation>
</ref>
<ref id="ref46">
<label>46</label><mixed-citation publication-type="other" xlink:type="simple"> Liu,~H Y., Jacob,~D J., Bey,~I., and Yantosca,~R M.: Constraints from Pb-210 and Be-7 on wet deposition and transport in a~global three-dimensional chemical tracer model driven by assimilated meteorological fields,~J. Geophys. Res., 106, 12109–12128, http://dx.doi.org/10.1029/2000jd900839doi:10.1029/2000jd900839, 2001. </mixed-citation>
</ref>
<ref id="ref47">
<label>47</label><mixed-citation publication-type="other" xlink:type="simple"> Liu,~X H., Penner,~J E., and Herzog,~M.: Global modeling of aerosol dynamics: model description, evaluation, and interactions between sulfate and nonsulfate aerosols,~J. Geophys. Res., 110, D18206, http://dx.doi.org/10.1029/2004jd005674doi:10.1029/2004jd005674, 2005. </mixed-citation>
</ref>
<ref id="ref48">
<label>48</label><mixed-citation publication-type="other" xlink:type="simple"> Liu,~X H. and Wang,~J A.: How important is organic aerosol hygroscopicity to aerosol indirect forcing?,~Environ. Res. Lett., 5, 044010, http://dx.doi.org/10.1088/1748-9326/5/4/044010doi:10.1088/1748-9326/5/4/044010, 2010. </mixed-citation>
</ref>
<ref id="ref49">
<label>49</label><mixed-citation publication-type="other" xlink:type="simple"> Mari,~C., Jacob,~D J., and Bechtold,~P.: Transport and scavenging of soluble gases in a~deep convective cloud,~J. Geophys. Res., 105, 22255–22267, http://dx.doi.org/10.1029/2000jd900211doi:10.1029/2000jd900211, 2000. </mixed-citation>
</ref>
<ref id="ref50">
<label>50</label><mixed-citation publication-type="other" xlink:type="simple"> Martien,~P T. and Harley,~R A.: Adjoint sensitivity analysis for a~three-dimensional photochemical model: implementation and method comparison, Environ. Sci. Technol., 40, 2663–2670, http://dx.doi.org/10.1021/es0510257doi:10.1021/es0510257, 2006. </mixed-citation>
</ref>
<ref id="ref51">
<label>51</label><mixed-citation publication-type="other" xlink:type="simple"> Menut,~L., Vautard,~R., Beekmann,~M., and Honore,~C.: Sensitivity of photochemical pollution using the adjoint of a~simplified chemistry-transport model,~J. Geophys. Res., 105, 15379–15402, http://dx.doi.org/10.1029/1999jd900953doi:10.1029/1999jd900953, 2000. </mixed-citation>
</ref>
<ref id="ref52">
<label>52</label><mixed-citation publication-type="other" xlink:type="simple"> Meskhidze,~N., Nenes,~A., Conant,~W C., and Seinfeld,~J H.: Evaluation of a~new cloud droplet activation parameterization with in situ data from CRYSTAL-FACE and CSTRIPE,~J. Geophys. Res., 110, D16202, http://dx.doi.org/10.1029/2004jd005703doi:10.1029/2004jd005703, 2005. </mixed-citation>
</ref>
<ref id="ref53">
<label>53</label><mixed-citation publication-type="other" xlink:type="simple"> Minnis,~P., Heck,~P W., Young,~D F., Fairall,~C W., and Snider,~J B.: Stratocumulus cloud properties derived from simultaneous satellite and island-based instrumentation during fire,~J. Appl. Meteorol., 31, 317–339, 1992. </mixed-citation>
</ref>
<ref id="ref54">
<label>54</label><mixed-citation publication-type="other" xlink:type="simple"> Moore, R. H., Bahreini, R., Brock, C. A., Froyd, K. D., Cozic, J., Holloway, J. S., Middlebrook, A. M., Murphy, D. M., and Nenes, A.: Hygroscopicity and composition of Alaskan Arctic CCN during April 2008, Atmos. Chem. Phys., 11, 11807–11825, http://dx.doi.org/10.5194/acp-11-11807-2011doi:10.5194/acp-11-11807-2011, 2011. </mixed-citation>
</ref>
<ref id="ref55">
<label>55</label><mixed-citation publication-type="other" xlink:type="simple"> Moore,~R H., Cerully,~K., Bahreini,~R., Brock,~C A., Middlebrook,~A M., and Nenes,~A.: Hygroscopicity and composition of California CCN during summer 2010,~J. Geophys. Res., 117, D00V12, http://dx.doi.org/10.1029/2011JD017352doi:10.1029/2011JD017352, 2012. </mixed-citation>
</ref>
<ref id="ref56">
<label>56</label><mixed-citation publication-type="other" xlink:type="simple"> Morales,~R. and Nenes,~A.: Characteristic updrafts for computing distribution-averaged cloud droplet number and stratocumulus cloud properties,~J. Geophys. Res., 115, D18220, http://dx.doi.org/10.1029/2009jd013233doi:10.1029/2009jd013233, 2010. </mixed-citation>
</ref>
<ref id="ref57">
<label>57</label><mixed-citation publication-type="other" xlink:type="simple"> Morrison,~H. and Gettelman,~A.: A~new two-moment bulk stratiform cloud microphysics scheme in the community atmosphere model, version 3 (CAM3). Part I: description and numerical tests,~J. Climate, 21, 3642–3659, http://dx.doi.org/10.1175/2008jcli2105.1doi:10.1175/2008jcli2105.1, 2008. </mixed-citation>
</ref>
<ref id="ref58">
<label>58</label><mixed-citation publication-type="other" xlink:type="simple"> Nenes,~A. and Seinfeld,~J H.: Parameterization of cloud droplet formation in global climate models,~J. Geophys. Res., 108, 4415, http://dx.doi.org/10.1029/2002jd002911doi:10.1029/2002jd002911, 2003. </mixed-citation>
</ref>
<ref id="ref59">
<label>59</label><mixed-citation publication-type="other" xlink:type="simple"> Nenes,~A., Ghan,~S., Abdul-Razzak,~H., Chuang,~P Y., and Seinfeld,~J H.: Kinetic limitations on cloud droplet formation and impact on cloud albedo, Tellus B, 53, 133–149, http://dx.doi.org/10.1034/j.1600-0889.2001.d01-12.xdoi:10.1034/j.1600-0889.2001.d01-12.x, 2001. </mixed-citation>
</ref>
<ref id="ref60">
<label>60</label><mixed-citation publication-type="other" xlink:type="simple"> Olivier,~J G J. and Berdowski,~J J M.: Global emissions sources and sinks, in: The Climate System,~A A. Balkema Publishers/Swets &amp; Zeitlinger Publishers, Lisse, The Netherlands, 33–78, 2001. </mixed-citation>
</ref>
<ref id="ref61">
<label>61</label><mixed-citation publication-type="other" xlink:type="simple"> Park,~R J., Jacob,~D J., Chin,~M., and Martin,~R V.: Sources of carbonaceous aerosols over the United States and implications for natural visibility,~J. Geophys. Res., 108, 4355, http://dx.doi.org/10.1029/2002jd003190doi:10.1029/2002jd003190, 2003. </mixed-citation>
</ref>
<ref id="ref62">
<label>62</label><mixed-citation publication-type="other" xlink:type="simple"> Park,~R J., Jacob,~D J., Field,~B D., Yantosca,~R M., and Chin,~M.: Natural and transboundary pollution influences on sulfate-nitrate-ammonium aerosols in the United States: implications for policy,~J. Geophys. Res., 109, D15204, http://dx.doi.org/10.1029/2003jd004473doi:10.1029/2003jd004473, 2004. </mixed-citation>
</ref>
<ref id="ref63">
<label>63</label><mixed-citation publication-type="other" xlink:type="simple"> Partridge, D. G., Vrugt, J. A., Tunved, P., Ekman, A. M. L., Gorea, D., and Sorooshian, A.: Inverse modeling of cloud-aerosol interactions – Part 1: Detailed response surface analysis, Atmos. Chem. Phys., 11, 7269–7287, http://dx.doi.org/10.5194/acp-11-7269-2011doi:10.5194/acp-11-7269-2011, 2011. </mixed-citation>
</ref>
<ref id="ref64">
<label>64</label><mixed-citation publication-type="other" xlink:type="simple"> Pöschl, U., Martin, S. T., Sinha, B., Chen, Q., Gunthe, S.  S., Huffman, J. A., Borrmann, S., Farmer, D. K., Garland, R.  M., Helas, G., Jimenez, J. L., King, S. M., Manzi, A.,  Mikhailov, E., Pauliquevis, T., Petters, M. D., Prenni, A. J.,  Roldin, P., Rose, D., Schneider, J., Su, H., Zorn, S. R.,  Artaxo, P., and Andreae, M. O.: Rainforest Aerosols as Biogenic Nuclei of Clouds and Precipitation in  the Amazon, Science, 329, 1513–1516, 2010. </mixed-citation>
</ref>
<ref id="ref65">
<label>65</label><mixed-citation publication-type="other" xlink:type="simple"> Price,~C. and Rind,~D.: A~simple lightning parameterization for calculating global lightning distributions,~J. Geophys. Res., 97, 9919–9933, 1992. </mixed-citation>
</ref>
<ref id="ref66">
<label>66</label><mixed-citation publication-type="other" xlink:type="simple"> Prospero,~J M., Charlson,~R J., Mohnen,~V., Jaenicke,~R., Delany,~A C., Moyers,~J., Zoller,~W., and Rahn,~K.: The atmospheric aerosol system – an~overview, Rev. Geophys., 21, 1607–1629, 1983. </mixed-citation>
</ref>
<ref id="ref67">
<label>67</label><mixed-citation publication-type="other" xlink:type="simple"> Pye,~H O T., Liao,~H., Wu,~S., Mickley,~L J., Jacob,~D J., Henze,~D K., and Seinfeld,~J H.: Effect of changes in climate and emissions on future sulfate-nitrate-ammonium aerosol levels in the United States,~J. Geophys. Res.-Atmos., 114, D01205, http://dx.doi.org/10.1029/2008jd010701doi:10.1029/2008jd010701, 2009. </mixed-citation>
</ref>
<ref id="ref68">
<label>68</label><mixed-citation publication-type="other" xlink:type="simple"> Rissman,~T A., Nenes,~A., and Seinfeld,~J H.: Chemical amplification (or dampening) of the Twomey effect: conditions derived from droplet activation theory,~J. Atmos. Sci., 61, 919–930, 2004. </mixed-citation>
</ref>
<ref id="ref69">
<label>69</label><mixed-citation publication-type="other" xlink:type="simple"> Rotman,~D A., Tannahill,~J R., Kinnison,~D E., Connell,~P S., Bergmann,~D., Proctor,~D., Rodriguez,~J M., Lin,~S J., Rood,~R B., Prather,~M J., Rasch,~P J., Considine,~D B., Ramaroson,~R., and Kawa,~S R.: Global Modeling Initiative assessment model: model description, integration, and testing of the transport shell,~J. Geophys. Res., 106, 1669–1691, http://dx.doi.org/10.1029/2000jd900463doi:10.1029/2000jd900463, 2001. </mixed-citation>
</ref>
<ref id="ref70">
<label>70</label><mixed-citation publication-type="other" xlink:type="simple"> Saide,~P E., Carmichael,~G., Spak,~S N., Minnis,~P., and Ayers,~J K.: Improving aerosol distributions below clouds by assimilating satellite-retrieved cloud droplet number, P. Natl. Acad. Sci. USA, 109, 11939–11943, http://dx.doi.org/10.1073/pnas.1205877109doi:10.1073/pnas.1205877109, 2012. </mixed-citation>
</ref>
<ref id="ref71">
<label>71</label><mixed-citation publication-type="other" xlink:type="simple"> Sandu,~A., Liao,~W., Carmichael,~G R., Henze,~D K., and Seinfeld,~J H.: Inverse modeling of aerosol dynamics using adjoints: theoretical and numerical considerations, Aerosol Sci. Tech., 39, 677–694, http://dx.doi.org/10.1080/02786820500182289doi:10.1080/02786820500182289, 2005. </mixed-citation>
</ref>
<ref id="ref72">
<label>72</label><mixed-citation publication-type="other" xlink:type="simple"> Sasaki,~Y.: Some basic formalisms in numerical variational analysis, Mon. Weather Rev., 98, 875–883, http://dx.doi.org/10.1175/1520-0493(1970)098&lt;0875:SBFINV&gt;2.3.CO;2doi:10.1175/1520-0493(1970)098&lt;0875:SBFINV&gt;2.3.CO;2, 1970. </mixed-citation>
</ref>
<ref id="ref73">
<label>73</label><mixed-citation publication-type="other" xlink:type="simple"> Segal,~Y. and Khain,~A.: Dependence of droplet concentration on aerosol conditions in different cloud types: application to droplet concentration parameterization of aerosol conditions,~J. Geophys. Res., 111, D15204, http://dx.doi.org/10.1029/2005jd006561doi:10.1029/2005jd006561, 2006. </mixed-citation>
</ref>
<ref id="ref74">
<label>74</label><mixed-citation publication-type="other" xlink:type="simple"> Seifert,~A. and Beheng,~K D.: A~two-moment cloud microphysics parameterization for mixed-phase clouds. Part 1: model description, Meteorol. Atmos. Phys., 92, 45–66, http://dx.doi.org/10.1007/s00703-005-0112-4doi:10.1007/s00703-005-0112-4, 2006. </mixed-citation>
</ref>
<ref id="ref75">
<label>75</label><mixed-citation publication-type="other" xlink:type="simple"> Sotiropoulou,~R E P., Medina,~J., and Nenes,~A.: CCN predictions: is theory sufficient for assessments of the indirect effect?, Geophys. Res. Lett., 33, L05816, http://dx.doi.org/10.1029/2005gl025148doi:10.1029/2005gl025148, 2006. </mixed-citation>
</ref>
<ref id="ref76">
<label>76</label><mixed-citation publication-type="other" xlink:type="simple"> Sotiropoulou,~R E P., Nenes,~A., Adams,~P J., and Seinfeld,~J H.: Cloud condensation nuclei prediction error from application of Köhler theory: importance for the aerosol indirect effect,~J. Geophys. Res., 112, D12202, http://dx.doi.org/10.1029/2006jd007834doi:10.1029/2006jd007834, 2007. </mixed-citation>
</ref>
<ref id="ref77">
<label>77</label><mixed-citation publication-type="other" xlink:type="simple"> Spracklen, D. V., Pringle, K. J., Carslaw, K. S., Chipperfield, M. P., and Mann, G. W.: A global off-line model of size-resolved aerosol microphysics: II. Identification of key uncertainties, Atmos. Chem. Phys., 5, 3233–3250, http://dx.doi.org/10.5194/acp-5-3233-2005doi:10.5194/acp-5-3233-2005, 2005. </mixed-citation>
</ref>
<ref id="ref78">
<label>78</label><mixed-citation publication-type="other" xlink:type="simple"> Streets,~D G., Zhang,~Q., Wang,~L T., He,~K B., Hao,~J M., Wu,~Y., Tang,~Y H., and Carmichael,~G R.: Revisiting China&apos;s CO emissions after the Transport and Chemical Evolution over the Pacific (TRACE-P) mission: synthesis of inventories, atmospheric modeling, and observations,~J. Geophys. Res., 111, D14306, http://dx.doi.org/10.1029/2006jd007118doi:10.1029/2006jd007118, 2006. </mixed-citation>
</ref>
<ref id="ref79">
<label>79</label><mixed-citation publication-type="other" xlink:type="simple"> van Donkelaar, A., Martin, R. V., Leaitch, W. R., Macdonald, A. M., Walker, T. W., Streets, D. G., Zhang, Q., Dunlea, E. J., Jimenez, J. L., Dibb, J. E., Huey, L. G., Weber, R., and Andreae, M. O.: Analysis of aircraft and satellite measurements from the Intercontinental Chemical Transport Experiment (INTEX-B) to quantify long-range transport of East Asian sulfur to Canada, Atmos. Chem. Phys., 8, 2999–3014, http://dx.doi.org/10.5194/acp-8-2999-2008doi:10.5194/acp-8-2999-2008, 2008. </mixed-citation>
</ref>
<ref id="ref80">
<label>80</label><mixed-citation publication-type="other" xlink:type="simple"> Vukićević,~T. and Hess,~P.: Analysis of tropospheric transport in the Pacific basin using the adjoint technique,~J. Geophys. Res., 105, 7213–7230, http://dx.doi.org/10.1029/1999jd901110doi:10.1029/1999jd901110, 2000. </mixed-citation>
</ref>
<ref id="ref81">
<label>81</label><mixed-citation publication-type="other" xlink:type="simple"> Wang,~Y H., Jacob,~D J., and Logan,~J A.: Global simulation of tropospheric \chemO_3-NO&lt;sub&gt;x&lt;/sub&gt;-hydrocarbon chemistry 1. model formulation,~J. Geophys. Res., 103, 10713–10725, http://dx.doi.org/10.1029/98jd00158doi:10.1029/98jd00158, 1998. </mixed-citation>
</ref>
<ref id="ref82">
<label>82</label><mixed-citation publication-type="other" xlink:type="simple"> Wang,~Y X X., McElroy,~M B., Jacob,~D J., and Yantosca,~R M.: A~nested grid formulation for chemical transport over Asia: applications to CO,~J. Geophys. Res., 109, D22307, http://dx.doi.org/10.1029/2004jd005237doi:10.1029/2004jd005237, 2004. </mixed-citation>
</ref>
<ref id="ref83">
<label>83</label><mixed-citation publication-type="other" xlink:type="simple"> van der Werf, G. R., Morton, D. C., DeFries, R. S., Giglio, L., Randerson, J. T., Collatz, G. J., and Kasibhatla, P. S.: Estimates of fire emissions from an active deforestation region in the southern Amazon based on satellite data and biogeochemical modelling, Biogeosciences, 6, 235–249, http://dx.doi.org/10.5194/bg-6-235-2009doi:10.5194/bg-6-235-2009, 2009. </mixed-citation>
</ref>
<ref id="ref84">
<label>84</label><mixed-citation publication-type="other" xlink:type="simple"> Wesely,~M L.: Parametirization of surface resistances to gaseous dry deposition in regional-scale numerical-models, Atmos. Environ., 23, 1293–1304, http://dx.doi.org/10.1016/0004-6981(89)90153-4doi:10.1016/0004-6981(89)90153-4, 1989. </mixed-citation>
</ref>
<ref id="ref85">
<label>85</label><mixed-citation publication-type="other" xlink:type="simple"> Woodhouse, M. T., Carslaw, K. S., Mann, G. W., Vallina, S. M., Vogt, M., Halloran, P. R., and Boucher, O.: Low sensitivity of cloud condensation nuclei to changes in the sea-air flux of dimethyl-sulphide, Atmos. Chem. Phys., 10, 7545–7559, http://dx.doi.org/10.5194/acp-10-7545-2010doi:10.5194/acp-10-7545-2010, 2010. </mixed-citation>
</ref>
<ref id="ref86">
<label>86</label><mixed-citation publication-type="other" xlink:type="simple"> Yienger,~J J. and Levy,~H.: Empirical-model of global soil-biogenic NO&lt;sub&gt;x&lt;/sub&gt; emissions~J. Geophys. Res., 100, 11447–11464, http://dx.doi.org/10.1029/95jd00370doi:10.1029/95jd00370, 1995.  </mixed-citation>
</ref>
<ref id="ref87">
<label>87</label><mixed-citation publication-type="other" xlink:type="simple"> Zhang, W., Capps, S. L., Hu, Y., Nenes, A., Napelenok, S. L., and Russell, A. G.: Development of the high-order decoupled direct method in three dimensions for particulate matter: enabling advanced sensitivity analysis in air quality models, Geosci. Model Dev., 5, 355–368, http://dx.doi.org/10.5194/gmd-5-355-2012doi:10.5194/gmd-5-355-2012, 2012.  </mixed-citation>
</ref>
</ref-list>
</back>
</article>