<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing DTD v3.0 20080202//EN" "https://jats.nlm.nih.gov/nlm-dtd/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">GMD</journal-id>
<journal-title-group>
<journal-title>Geoscientific Model Development</journal-title>
<abbrev-journal-title abbrev-type="publisher">GMD</abbrev-journal-title>
<abbrev-journal-title abbrev-type="nlm-ta">Geosci. Model Dev.</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">1991-9603</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/gmd-7-2345-2014</article-id>
<title-group>
<article-title>Droplet activation parameterization: the population-splitting concept revisited</article-title>
</title-group>
<contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Morales Betancourt</surname>
<given-names>R.</given-names>
<ext-link>https://orcid.org/0000-0002-5475-8605</ext-link>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</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, Georgia, USA</addr-line>
</aff>
<aff id="aff2">
<label>2</label>
<addr-line>School of Chemical and Biomolecular Engineering, Georgia Institute of Technology, Atlanta, Georgia, USA</addr-line>
</aff>
<pub-date pub-type="epub">
<day>14</day>
<month>10</month>
<year>2014</year>
</pub-date>
<volume>7</volume>
<issue>5</issue>
<fpage>2345</fpage>
<lpage>2357</lpage>
<permissions>
<copyright-statement>Copyright: &#x000a9; 2014 R. Morales Betancourt</copyright-statement>
<copyright-year>2014</copyright-year>
<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://gmd.copernicus.org/articles/7/2345/2014/gmd-7-2345-2014.html">This article is available from https://gmd.copernicus.org/articles/7/2345/2014/gmd-7-2345-2014.html</self-uri>
<self-uri xlink:href="https://gmd.copernicus.org/articles/7/2345/2014/gmd-7-2345-2014.pdf">The full text article is available as a PDF file from https://gmd.copernicus.org/articles/7/2345/2014/gmd-7-2345-2014.pdf</self-uri>
<abstract>
<p>In this work, we postulate, implement and evaluate modifications to
  the &quot;population-splitting&quot; concept, introduced by Nenes and Seinfeld (2003), for
  calculation of water-condensation rates in droplet-activation
  parameterizations. The population-splitting approximation consists of
  dividing the population of growing droplets into two categories: those that experience
  significant growth after exposed to a supersaturation
  larger than their critical supersaturation, and those that do not grow
  much larger than their critical diameter. The modifications introduced here lead to an
  improved accuracy and precision of the parameterization-derived
  maximum supersaturation, &lt;i&gt;s&lt;/i&gt;&lt;sub&gt;max&lt;/sub&gt;, and droplet-number
  concentration, &lt;i&gt;N&lt;/i&gt;&lt;sub&gt;d&lt;/sub&gt;, as determined by comparing
  against those of detailed numerical simulations of the activation
  process. A numerical computation of the first-order derivatives
  &amp;part; &lt;i&gt;N&lt;/i&gt;&lt;sub&gt;d&lt;/sub&gt;/&amp;part; &amp;chi;&lt;sub&gt;j&lt;/sub&gt; of the parameterized
  &lt;i&gt;N&lt;/i&gt;&lt;sub&gt;d&lt;/sub&gt; to input variables &amp;chi;&lt;sub&gt;i&lt;/sub&gt; was performed and
  compared against the corresponding parcel-model-derived
  sensitivities, providing a thorough evaluation of the impacts of the
  introduced modifications in the parameterization ability to respond
  to aerosol characteristics. An evaluation of the parameterization computation of
  &lt;i&gt;N&lt;/i&gt;&lt;sub&gt;d&lt;/sub&gt; and &lt;i&gt;s&lt;/i&gt;&lt;sub&gt;max&lt;/sub&gt; against detailed numerical simulations
  of the activation process   showed a relative error of −6.0% ± 6.2%
  for &lt;i&gt;s&lt;/i&gt;&lt;sub&gt;max&lt;/sub&gt;, and −2.7% ± 4.8% for &lt;i&gt;N&lt;/i&gt;&lt;sub&gt;d&lt;/sub&gt;,
  which represents a considerable reduction in prediction bias when compared to earlier versions of
  the parameterization. The proposed modifications require only minor
  changes for their numerical implementation in existing codes based on the
  population-splitting concept.</p>
</abstract>
<counts><page-count count="13"/></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.: A parameterization of aerosol activation: 2. Multiple aerosol types, J. Geophys. Res., 105, 6837–6844, 2000.</mixed-citation>
</ref>
<ref id="ref2">
<label>2</label><mixed-citation publication-type="other" xlink:type="simple">Abdul-Razzak, H., Ghan, S., and Rivera-Carpio, C.: A parameterization of aerosol activation: 1. Single aerosol type, J. Geophys. Res., 103, 6123–6131, 1998.</mixed-citation>
</ref>
<ref id="ref3">
<label>3</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, &lt;a href=&quot;http://dx.doi.org/10.1029/2007JD008473&quot;&gt;https://doi.org/10.1029/2007JD008473&lt;/a&gt;, 2007.</mixed-citation>
</ref>
<ref id="ref4">
<label>4</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, &lt;a href=&quot;http://dx.doi.org/10.5194/acp-10-2467-2010&quot;&gt;https://doi.org/10.5194/acp-10-2467-2010&lt;/a&gt;, 2010.</mixed-citation>
</ref>
<ref id="ref5">
<label>5</label><mixed-citation publication-type="other" xlink:type="simple">Chuang, P. Y., Charlson, R. J., and Seinfeld, J. H.: Kinetic limitations on droplet formation in clouds, Nature, 390, 594–596, 1997.</mixed-citation>
</ref>
<ref id="ref6">
<label>6</label><mixed-citation publication-type="other" xlink:type="simple">Feingold, G. and Heymsfield, A.: Parameterizations of condensational growth of droplets for use in general circulation models, J. Atmos. Sci., 49, 2325–2342, 1992.</mixed-citation>
</ref>
<ref id="ref7">
<label>7</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, &lt;a href=&quot;http://dx.doi.org/10.1029/2004JD005591&quot;&gt;https://doi.org/10.1029/2004JD005591&lt;/a&gt;, 2005.</mixed-citation>
</ref>
<ref id="ref8">
<label>8</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, &lt;a href=&quot;http://dx.doi.org/10.1029/2006JD007272&quot;&gt;https://doi.org/10.1029/2006JD007272&lt;/a&gt;, 2007.</mixed-citation>
</ref>
<ref id="ref9">
<label>9</label><mixed-citation publication-type="other" xlink:type="simple">Ghan, S., Chuang, C., and Penner, J.: A parameterization of cloud droplet nucleation. Part I: Single aerosol type, Atmos. Res., 30, 198–221, &lt;a href=&quot;http://dx.doi.org/10.1016/0169-8095(93)90024-I&quot;&gt;https://doi.org/10.1016/0169-8095(93)90024-I&lt;/a&gt;, 1993.</mixed-citation>
</ref>
<ref id="ref10">
<label>10</label><mixed-citation publication-type="other" xlink:type="simple">Ghan, S., 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="ref11">
<label>11</label><mixed-citation publication-type="other" xlink:type="simple">Ghan, S., Abdul-Razzak, H., Nenes, A., Ming, Y., Liu, X., Ovchinnikov, M., Meskhidze, N., Xu, J., and Shi, X.: Droplet nucleation: physically-based parameterization and comparative evaluation, J. Adv. Model. Earth. Syst., 3, D10S30, &lt;a href=&quot;http://dx.doi.org/10.1029/2011MS000074&quot;&gt;https://doi.org/10.1029/2011MS000074&lt;/a&gt;, 2011.</mixed-citation>
</ref>
<ref id="ref12">
<label>12</label><mixed-citation publication-type="other" xlink:type="simple">Intergovernmental Panel on Climate Change, .: Fourth Assessment Report: Climate Change 2007: Working Group I Report: The Physical Science Basis, Geneva, IPCC 2007.</mixed-citation>
</ref>
<ref id="ref13">
<label>13</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, &lt;a href=&quot;http://dx.doi.org/10.5194/acp-9-2517-2009&quot;&gt;https://doi.org/10.5194/acp-9-2517-2009&lt;/a&gt;, 2009.</mixed-citation>
</ref>
<ref id="ref14">
<label>14</label><mixed-citation publication-type="other" xlink:type="simple">Lamarque, J.-F., Bond, T. C., Eyring, V., Granier, C., Heil, A., Klimont, Z., Lee, D., Liousse, C., Mieville, A., Owen, B., Schultz, M. G., Shindell, D., Smith, S. J., Stehfest, E., Van Aardenne, J., Cooper, O. R., Kainuma, M., Mahowald, N., McConnell, J. R., Naik, V., Riahi, K., and van Vuuren, D. P.: Historical (1850–2000) gridded anthropogenic and biomass burning emissions of reactive gases and aerosols: methodology and application, Atmos. Chem. Phys., 10, 7017–7039, &lt;a href=&quot;http://dx.doi.org/10.5194/acp-10-7017-2010&quot;&gt;https://doi.org/10.5194/acp-10-7017-2010&lt;/a&gt;, 2010.</mixed-citation>
</ref>
<ref id="ref15">
<label>15</label><mixed-citation publication-type="other" xlink:type="simple">Lathem, T. L., Kumar, P., Nenes, A., Dufek, J., Sokolik, I. N., Trail, M., and Russel, A.: Hygroscopic properties of volcanic ash, Geophys. Res. Lett., 38, L11802, &lt;a href=&quot;http://dx.doi.org/10.1029/2011GL047298&quot;&gt;https://doi.org/10.1029/2011GL047298&lt;/a&gt;, 2011.</mixed-citation>
</ref>
<ref id="ref16">
<label>16</label><mixed-citation publication-type="other" xlink:type="simple">Liu, X., Easter, R. C., Ghan, S. J., Zaveri, R., Rasch, P., Shi, X., Lamarque, J.-F., Gettelman, A., Morrison, H., Vitt, F., Conley, A., Park, S., Neale, R., Hannay, C., Ekman, A. M. L., Hess, P., Mahowald, N., Collins, W., Iacono, M. J., Bretherton, C. S., Flanner, M. G., and Mitchell, D.: Toward a minimal representation of aerosols in climate models: description and evaluation in the Community Atmosphere Model CAM5, Geosci. Model Dev., 5, 709–739, &lt;a href=&quot;http://dx.doi.org/10.5194/gmd-5-709-2012&quot;&gt;https://doi.org/10.5194/gmd-5-709-2012&lt;/a&gt;, 2012.</mixed-citation>
</ref>
<ref id="ref17">
<label>17</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, &lt;a href=&quot;http://dx.doi.org/10.1029/2004JD005703&quot;&gt;https://doi.org/10.1029/2004JD005703&lt;/a&gt;, 2005.</mixed-citation>
</ref>
<ref id="ref18">
<label>18</label><mixed-citation publication-type="other" xlink:type="simple">Ming, Y., Ramaswamy, V., Donner, L. J., and Phillips, V. T. J.: A new parameterization of cloud droplet activation applicable to general circulation models, J. Atmos. Sci., 63, 1348–1356, 2006.</mixed-citation>
</ref>
<ref id="ref19">
<label>19</label><mixed-citation publication-type="other" xlink:type="simple">Morales Betancourt, R. and Nenes, A.: Understanding the contributions of aerosol properties and parameterization discrepancies to droplet number variability in a global climate model, Atmos. Chem. Phys., 14, 4809–4826, &lt;a href=&quot;http://dx.doi.org/10.5194/acp-14-4809-2014&quot;&gt;https://doi.org/10.5194/acp-14-4809-2014&lt;/a&gt;, 2014.</mixed-citation>
</ref>
<ref id="ref20">
<label>20</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, &lt;a href=&quot;http://dx.doi.org/10.1029/2002JD002911&quot;&gt;https://doi.org/10.1029/2002JD002911&lt;/a&gt;, 2003.</mixed-citation>
</ref>
<ref id="ref21">
<label>21</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, 53B, 133–149, 2001.</mixed-citation>
</ref>
<ref id="ref22">
<label>22</label><mixed-citation publication-type="other" xlink:type="simple">Petters, M. D. and Kreidenweis, S. M.: A single parameter representation of hygroscopic growth and cloud condensation nucleus activity, Atmos. Chem. Phys., 7, 1961–1971, &lt;a href=&quot;http://dx.doi.org/10.5194/acp-7-1961-2007&quot;&gt;https://doi.org/10.5194/acp-7-1961-2007&lt;/a&gt;, 2007.</mixed-citation>
</ref>
<ref id="ref23">
<label>23</label><mixed-citation publication-type="other" xlink:type="simple">Pinsky, M., Khain, A., Mazin, I., and Korolev, A.: Analytical estimation of droplet concentration at cloud base, J. Geophys. Res., 117, D18211, &lt;a href=&quot;http://dx.doi.org/10.1029/2012JD017753&quot;&gt;https://doi.org/10.1029/2012JD017753&lt;/a&gt;, 2012.</mixed-citation>
</ref>
<ref id="ref24">
<label>24</label><mixed-citation publication-type="other" xlink:type="simple">Pruppacher, H. and Klett, J.: Microphysics of clouds and precipitation, Atmospheric and oceanographic sciences library, Kluwer Academic Publishers, 2nd rev, 1997.</mixed-citation>
</ref>
<ref id="ref25">
<label>25</label><mixed-citation publication-type="other" xlink:type="simple">Seinfeld, J. and Pandis, S.: Atmospheric chemistry and physics: from air pollution to climate change, A Wiley-Intersciencie publications, Wiley, 2006.</mixed-citation>
</ref>
<ref id="ref26">
<label>26</label><mixed-citation publication-type="other" xlink:type="simple">Shipway, B. and Abel, S.: Analytical estimation of cloud droplet nucleation based on an underlying aerosol population, Atmos. Res., 96, 344–355, &lt;a href=&quot;http://dx.doi.org/10.1016/j.atmosres.2009.10.005&quot;&gt;https://doi.org/10.1016/j.atmosres.2009.10.005&lt;/a&gt;, 2010.</mixed-citation>
</ref>
<ref id="ref27">
<label>27</label><mixed-citation publication-type="other" xlink:type="simple">Sorjamaa, R. and Laaksonen, A.: The effect of H&lt;sub&gt;2&lt;/sub&gt;O adsorption on cloud drop activation of insoluble particles: a theoretical framework, Atmos. Chem. Phys., 7, 6175–6180, &lt;a href=&quot;http://dx.doi.org/10.5194/acp-7-6175-2007&quot;&gt;https://doi.org/10.5194/acp-7-6175-2007&lt;/a&gt;, 2007.</mixed-citation>
</ref>
<ref id="ref28">
<label>28</label><mixed-citation publication-type="other" xlink:type="simple">Twomey, S.: The nuclei of natural cloud formation. Part II: The supersaturation in natural clouds and the variation of cloud droplet concentration, Geof. Pura Appl., 43, 243–249, 1959.</mixed-citation>
</ref>
</ref-list>
</back>
</article>