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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>
</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-7-4537-2007</article-id>
<title-group>
<article-title>A new formulation of equivalent effective stratospheric chlorine (EESC)</article-title>
</title-group>
<contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Newman</surname>
<given-names>P. 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>Daniel</surname>
<given-names>J. S.</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>Waugh</surname>
<given-names>D. W.</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>Nash</surname>
<given-names>E. R.</given-names>
</name>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
</contrib>
</contrib-group><aff id="aff1">
<label>1</label>
<addr-line>Atmospheric Chemistry and Dynamics Branch, NASA Goddard Space Flight Center, Greenbelt, MD, USA</addr-line>
</aff>
<aff id="aff2">
<label>2</label>
<addr-line>NOAA Earth System Research Laboratory/Chemical Sciences Division, Boulder, CO, USA</addr-line>
</aff>
<aff id="aff3">
<label>3</label>
<addr-line>Johns Hopkins University, Baltimore, MD, USA</addr-line>
</aff>
<aff id="aff4">
<label>4</label>
<addr-line>Science Systems and Applications, Inc., Lanham, MD, USA</addr-line>
</aff>
<pub-date pub-type="epub">
<day>03</day>
<month>09</month>
<year>2007</year>
</pub-date>
<volume>7</volume>
<issue>17</issue>
<fpage>4537</fpage>
<lpage>4552</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>
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<self-uri xlink:href="http://www.atmos-chem-phys.net/7/4537/2007/acp-7-4537-2007.pdf">The full text article is available as a PDF file from http://www.atmos-chem-phys.net/7/4537/2007/acp-7-4537-2007.pdf</self-uri>
<abstract>
<p>Equivalent effective stratospheric chlorine (EESC) is a convenient
parameter to quantify the effects of halogens (chlorine and bromine) on
ozone depletion in the stratosphere.  We show, discuss, and analyze a
new formulation of  EESC that now includes the effects of age-of-air
dependent fractional release values and an age-of-air spectrum.  This
EESC can be more appropriately applied to  various parts of the
stratosphere because of this dependence on mean age-of-air. This new
formulation provides quantitative estimates of EESC that can be directly
related to inorganic chlorine and bromine throughout the stratosphere.
In this paper, we first provide a detailed  description of the EESC
calculation.  We then use this EESC  formulation to estimate that
human-produced ozone depleting substances will recover to 1980 levels in
2041 in the midlatitudes, and 2067 over Antarctica.  These recovery
dates are based upon the assumption that the international agreements
for regulating ozone-depleting substances are adhered to.  In addition
to recovery dates, we also estimate the uncertainties and possible
problems in the estimated times of  recovery.  The midlatitude recovery
of 2041 has a 95% confidence uncertainty from 2028 to 2049, while the
2067 Antarctic recovery has a 95% confidence uncertainty from 2056 to
2078.  The principal uncertainties are from the estimated mean
age-of-air and fractional release values, and the assumption that these
quantities are time independent.  Using other model estimates of age
decrease due to climate change, we estimate that midlatitude recovery
may be significantly accelerated.</p>
</abstract>
<counts><page-count count="16"/></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"> Anderson, J., Russell III, J M., Solomon, S., and Deaver, L E.: Halogen Occultation Experiment confirmation of stratospheric chlorine decreases in accordance with the Montreal Protocol, J. Geophys. Res., 103(D4), 4483&amp;ndash;4490, doi:10.1029/1999JD901075, 2000. </mixed-citation>
</ref>
<ref id="ref2">
<label>2</label><mixed-citation publication-type="other" xlink:type="simple"> Andrews, A E., Boering, K A., Daube, B C., Wofsy, S C., Loewenstein, M., Jost, H., Podolske, J R., Webster, C R., Herman, R L., Scott, D C., Flesch, G J., Moyer, E J., Elkins, J W., Dutton, G S., Hurst, D F., Moore, F L., Ray, E A., Romashkin, P A., and Strahan, S E.: Mean ages of stratospheric air derived from in situ observations of \chemCO_2, \chemCH_4, and \chemN_2O, J. Geophys. Res., 106(D23), 32 295&amp;ndash;32 314, doi:10.1029/2001JD000465, 2001. </mixed-citation>
</ref>
<ref id="ref3">
<label>3</label><mixed-citation publication-type="other" xlink:type="simple"> Austin, J. and Li, F.: On the relationship between the strength of the Brewer-Dobson circulation and the age of stratospheric air, Geophys. Res. Lett., 33, L17807, doi:10.1029/2006GL026867, 2006. </mixed-citation>
</ref>
<ref id="ref4">
<label>4</label><mixed-citation publication-type="other" xlink:type="simple"> Bodeker, G E., Waugh, D W., Akiyoshi,, H., Braesicke, P., Eyring, V., Fahey, D W., Manzini, E., Newchurch, M J., Portmann, R W., Robock, A., Shine, K P., Steinbrecht, W., and Weatherhead. E C.: The ozone layer in the 21$^\mathrmst$ Century, Chapter 6 in World Meteorological Organization: Scientific assessment of ozone depletion: 2006, Global Ozone Research and Monitoring Project &amp;ndash; Report No. 50, Geneva, 43~pp., 2007. </mixed-citation>
</ref>
<ref id="ref5">
<label>5</label><mixed-citation publication-type="other" xlink:type="simple"> Chipperfield, M P., Randel, W J., Bodeker, G E., Dameris, M., Fioletov, V E., Friedl, R R., Harris, N R P., Logan. J A., McPeters, R D., Muthama, N J., Peter, T., Shepherd, T G., Shine, K~.P., Solomon, S., Thomason, L W., and Zawodny, J M.: Global ozone: Past and future, Chapter 4 in World Meteorological Organization: Scientific assessment of ozone depletion: 2002, Global Ozone Research and Monitoring Project &amp;ndash; Report No. 47, Geneva, 91~pp., 2003. </mixed-citation>
</ref>
<ref id="ref6">
<label>6</label><mixed-citation publication-type="other" xlink:type="simple"> Clerbaux, C., Cunnold, D M., Anderson, J., Engel, A., Fraser, P J., Mahieu, E., Manning, A., Miller, J., Montzka, S A., Nassar, R., Prinn, R., Reimann, S., Rinsland, C P., Simmonds, P., Verdonik, D., Weiss, R., Wuebbles, D., and Yokouchi, Y.: Long-lived Compounds, Chapter 1 in World Meteorological Organization: Scientific assessment of ozone depletion: 2006, Global Ozone Research and Monitoring Project &amp;ndash; Report No. 50, Geneva, 63~pp., 2007. </mixed-citation>
</ref>
<ref id="ref7">
<label>7</label><mixed-citation publication-type="other" xlink:type="simple"> Daniel, J S., Solomon, S., and Albritton, D L.: On the evaluation of halocarbon radiative forcing and global warming potentials, J. Geophys. Res., 100(D1), 1271&amp;ndash;1285, doi:10.1029/94JD02516, 1995. </mixed-citation>
</ref>
<ref id="ref8">
<label>8</label><mixed-citation publication-type="other" xlink:type="simple"> Daniel, J S., Solomon, S., Portmann, R W., and Garcia, R R.: Stratospheric ozone destruction: The importance of bromine relative to chlorine, J. Geophys. Res., 104(D19), 23 871&amp;ndash;23 880, doi:10.1029/1999JD900381, 1999. </mixed-citation>
</ref>
<ref id="ref9">
<label>9</label><mixed-citation publication-type="other" xlink:type="simple"> Daniel, J S., Velders, G J M., Douglass, A R., Forster, P M D., Hauglustaine, D A., Isaksen, I S A., Kuijpers, L J M., McCulloch, A., and Wallington, T J.: Halocarbon scenarios, ozone depletion potentials, and global warming potentials, Chapter 8 in World Meteorological Organization: Scientific assessment of ozone depletion: 2006, Global Ozone Research and Monitoring Project &amp;ndash; Report No. 50, Geneva, 39~pp., 2007. </mixed-citation>
</ref>
<ref id="ref10">
<label>10</label><mixed-citation publication-type="other" xlink:type="simple"> Danilin, M Y., Sze, N.-D., Ko, M K., Rodriguez, J M., and Prather, M J.: Bromine-chlorine coupling in the Antarctic ozone hole, Geophys. Res. Lett., 23(2), 153&amp;ndash;156, doi:10.1029/95GL03783, 1996. </mixed-citation>
</ref>
<ref id="ref11">
<label>11</label><mixed-citation publication-type="other" xlink:type="simple"> Dhomse, S., Weber, M., Wohltmann, I., Rex, M., and Burrows, J P.: On the possible causes of recent increases in northern hemispheric total ozone from a statistical analysis of satellite data from 1979 to 2003, Atmos. Chem. Phys., 6, 1165&amp;ndash;1180, 2006. </mixed-citation>
</ref>
<ref id="ref12">
<label>12</label><mixed-citation publication-type="other" xlink:type="simple"> Dorf, M., Bösch, H. Butz, A., Camy-Peyret, C., Chipperfield, M P., Engel, A., Goutail, F., Grunow, K., Hendrick, F., Hrechanyy, S., Naujokat, B., Pommereau, J.-P., Van Roozendael, M., Sioris, C., Stroh, F., Weidner, F., and Pfeilsticker, K.: Balloon-borne stratospheric BrO measurements: comparison with Envisat/SCIAMACHY BrO limb profiles, Atmos. Chem. Phys., 6, 2483&amp;ndash;2501, 2006. </mixed-citation>
</ref>
<ref id="ref13">
<label>13</label><mixed-citation publication-type="other" xlink:type="simple"> Farman, J C., Gardiner, B G., and Shanklin, J D.: Large losses of total ozone in Antarctica reveal seasonal \chemClO_x/NO_x interaction, Nature, 315, 207&amp;ndash;210, doi:10.1038/315207a0, 1985. </mixed-citation>
</ref>
<ref id="ref14">
<label>14</label><mixed-citation publication-type="other" xlink:type="simple"> Fioletov, V E., Bodeker, G E., Miller, A J., McPeters, R D., and Stolarski, R.: Global and zonal total ozone variations estimated from ground-based and satellite measurements, J. Geophys. Res., 107(D22), 4647, doi:10.1029/2001JD001350, 2002. </mixed-citation>
</ref>
<ref id="ref15">
<label>15</label><mixed-citation publication-type="other" xlink:type="simple"> Fleming, E L., Jackman, C H., Stolarski, R S., and Considine, D B.: Simulation of stratospheric tracers using an improved empirically based two-dimensional model transport formulation, J. Geophys. Res., 104(D1), 1759&amp;ndash;1766, doi:10.1029/1998JD10028, 1999. </mixed-citation>
</ref>
<ref id="ref16">
<label>16</label><mixed-citation publication-type="other" xlink:type="simple"> Guillas, S., Tiao, G C., Wuebbles, D J., and Zubrow, A.: Statistical diagnostic and correction of a chemistry-transport model for the prediction of total column ozone, Atmos. Chem. Phys., 6, 525&amp;ndash;537, 2006. %</mixed-citation>
</ref>
<ref id="ref17">
<label>17</label><mixed-citation publication-type="other" xlink:type="simple"> </mixed-citation>
</ref>
<ref id="ref18">
<label>18</label><mixed-citation publication-type="other" xlink:type="simple"> Law, K S., Sturges, W T., Blake, D R., Blake, N J., Burkholder, J B., Butler, J H., Cox, R A., Haynes, P H., Ko, M K W., Kreher, K., Mari, C., Pfeilsticker, K., Plane, J .M C., Salawitch, R J., Schiller, C., Sinnhuber, B.-M., von Glasow, R., Warwick, N J., Wuebbles, D J., and Yvon-Lewis, S A.: Halogenated very short-lived substances, Chapter 2 in World Meteorological Organization: Scientific assessment of ozone depletion: 2006, Global Ozone Research and Monitoring Project &amp;ndash; Report No. 50, Geneva, 57~pp., 2007. </mixed-citation>
</ref>
<ref id="ref19">
<label>19</label><mixed-citation publication-type="other" xlink:type="simple"> Madronich, S., Velders, G J M., Daniel, J S., Lal, M., McCulloch, A., and Slaper, H.: Halocarbon scenarios for the future ozone layer and related consequences, Chapter 11 in World Meteorological Organization: Scientific assessment of ozone depletion: 1998, Global Ozone Research and Monitoring Project &amp;ndash; Report No. 44, Geneva, 38~pp., 1999. </mixed-citation>
</ref>
<ref id="ref20">
<label>20</label><mixed-citation publication-type="other" xlink:type="simple"> Montzka, S A., Butler, J H., Myers, R C., Thompson, T M., Swanson, T H., Clarke, A D., Lock, L T., and Elkins, J W.: Decline in the tropospheric abundance of halogen from halocarbons: Implications for stratospheric ozone depletion, Science, 272, 1318&amp;ndash;1322, doi:10.1126/science.272.5266.1318, 1996. </mixed-citation>
</ref>
<ref id="ref21">
<label>21</label><mixed-citation publication-type="other" xlink:type="simple"> Montzka, S A., Fraser, P J., Butler, J H., Connell, P S., Cunnold, D M., Daniel, J S., Derwent, R G., Lal, S., McCulloch, A., Oram, D E., Reeves, C E., Sanhueza, E., Steele, L P., Velders, G J M., Weiss, R F., and Zander, R J.: Controlled substances and other source gases, Chapter 1 in World Meteorological Organization: Scientific assessment of ozone depletion: 2002, Global Ozone Research and Monitoring Project &amp;ndash; Report No. 47, Geneva, 83~pp., 2003. </mixed-citation>
</ref>
<ref id="ref22">
<label>22</label><mixed-citation publication-type="other" xlink:type="simple"> Newchurch, M J., Yang, E.-S., Cunnold, D M., Reinsel, G C., Zawodny, J M., , and Russel III, J. M.: Evidence for slowdown in stratospheric ozone loss: First stage of ozone recovery, J. Geophys. Res., 108(D16), 4507, doi:10.1029/2003JD003471, 2003. </mixed-citation>
</ref>
<ref id="ref23">
<label>23</label><mixed-citation publication-type="other" xlink:type="simple"> Newman, P A., Pyle, J A., Austin, J., Braathen, G O., Canziani, P O., Carslaw, K S., Forster, P M de~F., Godin-Beekman, S., Knudsen, B M., Kreher, K., Nakane, H., Pawson, S., Ramaswamy, V., Rex, M., Salawitch, R J., Shindell, D T., Tabazadeh, A., and Toohey, D W.: Polar stratospheric ozone: Past and future, Chapter 3 in World Meteorological Organization: Scientific assessment of ozone depletion: 2002, Global Ozone Research and Monitoring Project &amp;ndash; Report No. 47, Geneva, 104~pp., 2003. </mixed-citation>
</ref>
<ref id="ref24">
<label>24</label><mixed-citation publication-type="other" xlink:type="simple"> Newman, P A., Nash, E R., Kawa, S R., Montzka, S A., and Schauffler, S M.: When will the Antarctic ozone hole recover?, Geophys. Res. Lett., 33, L12814, doi:10.1029/2005GL025232, 2006. </mixed-citation>
</ref>
<ref id="ref25">
<label>25</label><mixed-citation publication-type="other" xlink:type="simple"> Prinn, R G., Zander, R, Cunnold, D M., Elkins, J W., Engel, A., Fraser, P J., Gunson, M R., Ko, M K W., Mahieu, E., Midgley, P M., Russell III, J M., Volk, C M., and Weiss, R F.: Long-lived ozone-related compounds, Chapter 1 in World Meteorological Organization: Scientific assessment of ozone depletion: 1998, Global Ozone Research and Monitoring Project &amp;ndash; Report No. 44, Geneva, 54~pp., 1999. </mixed-citation>
</ref>
<ref id="ref26">
<label>26</label><mixed-citation publication-type="other" xlink:type="simple"> Sarma, K M. and Bankobeza, G M. (Eds.): The Montreal protocol on substances that deplete the ozone layer, United Nations Environment Programme, Nairobi, Kenya, 2000. </mixed-citation>
</ref>
<ref id="ref27">
<label>27</label><mixed-citation publication-type="other" xlink:type="simple"> Schauffler, S M., Atlas, E L., Donnelly, S G., Andrews, A., Montzka, S A., Elkins, J W., Hurst, D F., Romashkin, P A., Dutton, G S., and Stroud, V.: Chlorine budget and partitioning during the Stratospheric Aerosol and Gas Experiment (SAGE) III Ozone Loss and Validation Experiment (SOLVE), J. Geophys. Res., 108(D5), 4173, doi:10.1029/2001JD002040, 2003. </mixed-citation>
</ref>
<ref id="ref28">
<label>28</label><mixed-citation publication-type="other" xlink:type="simple"> Schoeberl, M R., Douglass, A R., Polansky, B., Boone, C., Walker, K A., and Bernath, P.: Estimation of stratospheric age spectrum from chemical tracers, J. Geophys. Res., 110, D21303, doi:10.1029/2005JD006125, 2005. </mixed-citation>
</ref>
<ref id="ref29">
<label>29</label><mixed-citation publication-type="other" xlink:type="simple"> Sinnhuber, B.-M., Sheode, N., Sinnhuber, M., Chipperfield, M P., and Feng, W.: The contribution of anthropogenic bromine emissions to past stratospheric ozone trends: a modelling study, Atmos. Chem. Phys. Discuss., 6, 6497&amp;ndash;6524, 2006. </mixed-citation>
</ref>
<ref id="ref30">
<label>30</label><mixed-citation publication-type="other" xlink:type="simple"> Solomon, S. and Albritton, D.: Time-dependent ozone depletion potentials for short- and long-term forecasts, Nature, 357, 33&amp;ndash;37, doi:10.1038/357033a0, 1992. </mixed-citation>
</ref>
<ref id="ref31">
<label>31</label><mixed-citation publication-type="other" xlink:type="simple"> Solomon, S., Wuebbles, D., Isaksen, I., Kiehl, J. Lal, M., Simon, P., and Sze, N.-D.: Ozone depletion potentials, global warming potentials, and future chlorine/bromine loading, Chapter 13 in World Meteorological Organization: Scientific assessment of ozone depletion: 1994, Global Ozone Research and Monitoring Project &amp;ndash; Report No. 37, Geneva, 36~pp., 1995. </mixed-citation>
</ref>
<ref id="ref32">
<label>32</label><mixed-citation publication-type="other" xlink:type="simple"> Stolarski, R S., Douglass, A R., Steenrod, S., and Pawson, S.: Trends in stratospheric ozone: Lessons learned from a 3D chemical transport model, J. Atmos. Sci., 63, 1028&amp;ndash;1041, doi:10.1175/JAS3650.1, 2006a. </mixed-citation>
</ref>
<ref id="ref33">
<label>33</label><mixed-citation publication-type="other" xlink:type="simple"> Stolarski, R S., Douglass, A R., Gupta, M., Newman, P A., Pawson, S., Schoeberl, M R., and Nielsen, J E.: An ozone increase in the Antarctic summer stratosphere: A dynamical response to the ozone hole, Geophys. Res. Lett., 33, L21805, doi:10.1029/2006GL026820, 2006b. </mixed-citation>
</ref>
<ref id="ref34">
<label>34</label><mixed-citation publication-type="other" xlink:type="simple"> Volk, C M., Elkins, J W., Fahey, D W., Dutton, G S., Gilligan, J M., Loewenstein, M., Podolske, J .R., Chan, K R., and Gunson, M R.: Evaluation of source gas lifetimes from Stratospheric observations, J. Geophys. Res., 102(D21), 25 543&amp;ndash;25 564, doi:10.1029/97JD02215, 1997. </mixed-citation>
</ref>
<ref id="ref35">
<label>35</label><mixed-citation publication-type="other" xlink:type="simple"> Waugh, D W. and Hall, T M.: Age of stratospheric air: Theory, observations, and models, Rev. Geophys., 40(4), 1010, doi:10.1029/2000RG000101, 2002. </mixed-citation>
</ref>
<ref id="ref36">
<label>36</label><mixed-citation publication-type="other" xlink:type="simple"> World Meteorological Organization: Scientific assessment of ozone depletion: 1994, Global Ozone Research and Monitoring Project &amp;ndash; Report No. 37, Geneva, 1995. </mixed-citation>
</ref>
<ref id="ref37">
<label>37</label><mixed-citation publication-type="other" xlink:type="simple"> World Meteorological Organization: Scientific assessment of ozone depletion: 1998, Global Ozone Research and Monitoring Project &amp;ndash; Report No. 44, Geneva, 1999. </mixed-citation>
</ref>
<ref id="ref38">
<label>38</label><mixed-citation publication-type="other" xlink:type="simple"> World Meteorological Organization: Scientific assessment of ozone depletion: 2002, Global Ozone Research and Monitoring Project &amp;ndash; Report No. 47, Geneva, 2003. </mixed-citation>
</ref>
<ref id="ref39">
<label>39</label><mixed-citation publication-type="other" xlink:type="simple"> World Meteorological Organization: Scientific assessment of ozone depletion: 2006, Global Ozone Research and Monitoring Project &amp;ndash; Report No. 50, Geneva, 2007. </mixed-citation>
</ref>
<ref id="ref40">
<label>40</label><mixed-citation publication-type="other" xlink:type="simple"> Yang, E.-S., Cunnold, D M., Newchurch, M J., and Salawitch, R J.: Change in ozone trends at southern high latitudes, Geophys. Res. Lett., 32, L12812, doi:10.1029/2004GL022296, 2005. </mixed-citation>
</ref>
</ref-list>
</back>
</article>