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<front>
<journal-meta>
<journal-id journal-id-type="publisher">ACP</journal-id>
<journal-title-group>
<journal-title>Atmospheric Chemistry and Physics</journal-title>
<abbrev-journal-title abbrev-type="publisher">ACP</abbrev-journal-title>
<abbrev-journal-title abbrev-type="nlm-ta">Atmos. Chem. Phys.</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">1680-7324</issn>
<publisher><publisher-name>Copernicus Publications</publisher-name>
<publisher-loc>Göttingen, Germany</publisher-loc>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.5194/acp-9-5751-2009</article-id>
<title-group>
<article-title>A simple model for cloud radiative forcing</article-title>
</title-group>
<contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Corti</surname>
<given-names>T.</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>Peter</surname>
<given-names>T.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
</contrib-group><aff id="aff1">
<label>1</label>
<addr-line>Institute for Atmospheric and Climate Science,  Swiss Federal Institute of Technology (ETH), Zurich, Switzerland</addr-line>
</aff>
<pub-date pub-type="epub">
<day>12</day>
<month>08</month>
<year>2009</year>
</pub-date>
<volume>9</volume>
<issue>15</issue>
<fpage>5751</fpage>
<lpage>5758</lpage>
<permissions>
<copyright-statement>Copyright: &#x000a9; 2009 T. Corti</copyright-statement>
<copyright-year>2009</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://acp.copernicus.org/articles/9/5751/2009/acp-9-5751-2009.html">This article is available from https://acp.copernicus.org/articles/9/5751/2009/acp-9-5751-2009.html</self-uri>
<self-uri xlink:href="https://acp.copernicus.org/articles/9/5751/2009/acp-9-5751-2009.pdf">The full text article is available as a PDF file from https://acp.copernicus.org/articles/9/5751/2009/acp-9-5751-2009.pdf</self-uri>
<abstract>
<p>We present a simple model for the longwave and shortwave cloud radiative
forcing based on the evaluation of extensive radiative transfer calculations,
covering a global range of conditions. The simplicity of the model equations
fosters the understanding on how clouds affect the Earth&apos;s energy balance.
In comparison with results from a comprehensive radiative transfer model, the
accuracy of our parameterization is typically better than 20%.
We demonstrate the usefulness of our model using the example of tropical cirrus clouds.
We conclude that possible applications for the model include the convenient
estimate of cloud radiative forcing for a wide range of conditions, the
evaluation of the sensitivity to changes in environmental conditions, and
as a tool in education. An online version of the model is available at
&lt;a href=&quot;http://www.iac.ethz.ch/url/crf&quot;target=&quot;_blank&quot;&gt;http://www.iac.ethz.ch/url/crf&lt;/a&gt;.</p>
</abstract>
<counts><page-count count="8"/></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">Allan, R.&amp;nbsp;P., Shine, K.&amp;nbsp;P., Slingo, A., and Pamment, J.&amp;nbsp;A.: The dependence of clear-sky outgoing long-wave radiation on surface temperature and relative humidity, Q. J. Roy. Meteor. Soc., 125, 2103–2126, 1999.</mixed-citation>
</ref>
<ref id="ref2">
<label>2</label><mixed-citation publication-type="other" xlink:type="simple">Baker, M.&amp;nbsp;B.: Cloud microphysics and climate, Science, 276, 1072–1078, 1997.</mixed-citation>
</ref>
<ref id="ref3">
<label>3</label><mixed-citation publication-type="other" xlink:type="simple">Barkstrom, B.&amp;nbsp;R.: The Earth Radiation Budget Experiment (Erbe), B. Am. Meteor. Soc., 65, 1170–1185, 1984.</mixed-citation>
</ref>
<ref id="ref4">
<label>4</label><mixed-citation publication-type="other" xlink:type="simple">Carlin, B., Fu, Q., Lohmann, U., Mace, G.&amp;nbsp;G., Sassen, K., and Comstock, J.&amp;nbsp;M.: High-cloud horizontal inhomogeneity and solar albedo bias, J. Clim., 15, 2321–2339, 2002.</mixed-citation>
</ref>
<ref id="ref5">
<label>5</label><mixed-citation publication-type="other" xlink:type="simple">Chen, T., Rossow, W.&amp;nbsp;B., and Zhang, Y.&amp;nbsp;C.: Radiative effects of cloud-type variations, J. Clim., 13, 264–286, 2000.</mixed-citation>
</ref>
<ref id="ref6">
<label>6</label><mixed-citation publication-type="other" xlink:type="simple">Chylek, P. and Wong, J. G.&amp;nbsp;D.: Cloud radiative forcing ratio – An analytical model, Tellus A, 50, 259–264, 1998.</mixed-citation>
</ref>
<ref id="ref7">
<label>7</label><mixed-citation publication-type="other" xlink:type="simple">Coakley, J.&amp;nbsp;A. and Chylek, P.: The 2-stream approximation in radiative transfer - including angle of incident radiation, J. Atmos. Sci., 32, 409–418, 1975.</mixed-citation>
</ref>
<ref id="ref8">
<label>8</label><mixed-citation publication-type="other" xlink:type="simple">Corti, T., Luo, B.&amp;nbsp;P., Peter, T., Vomel, H., and Fu, Q.: Mean radiative energy balance and vertical mass fluxes in the equatorial upper troposphere and lower stratosphere, Geophys. Res. Lett., 32, L06802, https://doi.org/10.1029/2004GL021889, 2005.</mixed-citation>
</ref>
<ref id="ref9">
<label>9</label><mixed-citation publication-type="other" xlink:type="simple">Fu, Q. and Liou, K.&amp;nbsp;N.: On the Correlated K-Distribution Method for Radiative-Transfer in Nonhomogeneous Atmospheres, J. Atmos. Sci., 49, 2139–2156, 1992.</mixed-citation>
</ref>
<ref id="ref10">
<label>10</label><mixed-citation publication-type="other" xlink:type="simple">Fu, Q. and Liou, K.&amp;nbsp;N.: Parameterization of the Radiative Properties of Cirrus Clouds, J. Atmos. Sci., 50, 2008–2025, 1993.</mixed-citation>
</ref>
<ref id="ref11">
<label>11</label><mixed-citation publication-type="other" xlink:type="simple">Fu, Q., Yang, P., and Sun, W.&amp;nbsp;B.: An accurate parameterization of the infrared radiative properties of cirrus clouds for climate models, J. Clim., 11, 2223–2237, 1998.</mixed-citation>
</ref>
<ref id="ref12">
<label>12</label><mixed-citation publication-type="other" xlink:type="simple">Fu, Q.&amp;nbsp;A.: An accurate parameterization of the solar radiative properties of cirrus clouds for climate models, J. Clim., 9, 2058–2082, 1996.</mixed-citation>
</ref>
<ref id="ref13">
<label>13</label><mixed-citation publication-type="other" xlink:type="simple">Glickman, T.&amp;nbsp;S.: Glossary Of Meteorology, American Meteorological Society, 2nd ed.,  855 pp., 2000.</mixed-citation>
</ref>
<ref id="ref14">
<label>14</label><mixed-citation publication-type="other" xlink:type="simple">Hartmann, D.&amp;nbsp;L., Ockertbell, M.&amp;nbsp;E., and Michelsen, M.&amp;nbsp;L.: The Effect of Cloud Type on Earths Energy-Balance – Global Analysis, J. Clim., 5, 1281–1304, 1992.</mixed-citation>
</ref>
<ref id="ref15">
<label>15</label><mixed-citation publication-type="other" xlink:type="simple">Hartmann, D.&amp;nbsp;L., Holton, J.&amp;nbsp;R., and Fu, Q.: The heat balance of the tropical tropopause, cirrus, and stratospheric dehydration, Geophys. Res. Lett., 28, 1969–1972, 2001.</mixed-citation>
</ref>
<ref id="ref16">
<label>16</label><mixed-citation publication-type="other" xlink:type="simple">Heymsfield, A.&amp;nbsp;J. and Platt, C. M.&amp;nbsp;R.: A Parameterization of the Particle-Size Spectrum of Ice Clouds in Terms of the Ambient-Temperature and the Ice Water-Content, J. Atmos. Sci., 41, 846–855, 1984.</mixed-citation>
</ref>
<ref id="ref17">
<label>17</label><mixed-citation publication-type="other" xlink:type="simple">IPCC: Climate Change 2007 – The Physical Science Basis, Cambridge University Press,  996 pp., 2007.</mixed-citation>
</ref>
<ref id="ref18">
<label>18</label><mixed-citation publication-type="other" xlink:type="simple">Johnson, R.&amp;nbsp;H., Rickenbach, T.&amp;nbsp;M., Rutledge, S.&amp;nbsp;A., Ciesielski, P.&amp;nbsp;E., and Schubert, W.&amp;nbsp;H.: Trimodal characteristics of tropical convection, J. Clim., 12, 2397–2418, 1999.</mixed-citation>
</ref>
<ref id="ref19">
<label>19</label><mixed-citation publication-type="other" xlink:type="simple">Liou, K.: Radiation and Cloud Processes in the Atmosphere, Oxford University Press, 1992.</mixed-citation>
</ref>
<ref id="ref20">
<label>20</label><mixed-citation publication-type="other" xlink:type="simple">Meerkotter, R., Schumann, U., Doelling, D.&amp;nbsp;R., Minnis, P., Nakajima, T., and Tsushima, Y.: Radiative forcing by contrails, Ann. Geophys.-Atmos. Hydrospheres Space Sci., 17, 1080–1094, 1999.</mixed-citation>
</ref>
<ref id="ref21">
<label>21</label><mixed-citation publication-type="other" xlink:type="simple">Paltridge, G.&amp;nbsp;W. and Platt, C.&amp;nbsp;M.&amp;nbsp;R., Radiative Processes in Meteorology and Climatology, Elsevier, Amsterdam, Netherlands, 1976.</mixed-citation>
</ref>
<ref id="ref22">
<label>22</label><mixed-citation publication-type="other" xlink:type="simple">Raval, A., Oort, A.&amp;nbsp;H., and Ramaswamy, V.: Observed Dependence of Outgoing Longwave Radiation on Sea-Surface Temperature and Moisture, J. Clim., 7, 807–821, 1994.</mixed-citation>
</ref>
<ref id="ref23">
<label>23</label><mixed-citation publication-type="other" xlink:type="simple">Rossow, W.&amp;nbsp;B. and Lacis, A.&amp;nbsp;A.: Global, Seasonal Cloud Variations from Satellite Radiance Measurements, 2. Cloud Properties and Radiative Effects, J. Clim., 3, 1204–1253, 1990.</mixed-citation>
</ref>
<ref id="ref24">
<label>24</label><mixed-citation publication-type="other" xlink:type="simple">Sassen, K.: Cirrus Clouds, in:  Cirrus, edited by: Lynch, D. K., Sassen, K., Starr, D. O., and Stephens G., Oxford University Press,  231–255, 2002.</mixed-citation>
</ref>
<ref id="ref25">
<label>25</label><mixed-citation publication-type="other" xlink:type="simple">Schumann, U.: Interactive comment on &quot;A simple model for cloud radiative forcing&quot; by T.&amp;nbsp;Corti and T.&amp;nbsp;Peter, Atmos. Chem. Phys. Discuss., 9, C2142–C2143, 2009.</mixed-citation>
</ref>
<ref id="ref26">
<label>26</label><mixed-citation publication-type="other" xlink:type="simple">Stephens, G.&amp;nbsp;L., Tsay, S.&amp;nbsp;C., Stackhouse, P.&amp;nbsp;W., and Flatau, P.&amp;nbsp;J.: The Relevance of the Microphysical and Radiative Properties of Cirrus Clouds to Climate and Climatic Feedback, J. Atmos. Sci., 47, 1742–1753, 1990.</mixed-citation>
</ref>
<ref id="ref27">
<label>27</label><mixed-citation publication-type="other" xlink:type="simple">Twomey, S.: Atmospheric Aerosols, Elsevier, Amsterdam, The Netherlands, 302 pp., 1977.</mixed-citation>
</ref>
</ref-list>
</back>
</article>