<?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-9-677-2009</article-id>
<title-group>
<article-title>Scaling behaviour of the global tropopause</article-title>
</title-group>
<contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Varotsos</surname>
<given-names>C.</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>Efstathiou</surname>
<given-names>M.</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>Tzanis</surname>
<given-names>C.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
</contrib-group><aff id="aff1">
<label>1</label>
<addr-line>Department of Applied Physics, University of Athens, Athens, Greece</addr-line>
</aff>
<pub-date pub-type="epub">
<day>28</day>
<month>01</month>
<year>2009</year>
</pub-date>
<volume>9</volume>
<issue>2</issue>
<fpage>677</fpage>
<lpage>683</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/9/677/2009/acp-9-677-2009.html">This article is available from http://www.atmos-chem-phys.net/9/677/2009/acp-9-677-2009.html</self-uri>
<self-uri xlink:href="http://www.atmos-chem-phys.net/9/677/2009/acp-9-677-2009.pdf">The full text article is available as a PDF file from http://www.atmos-chem-phys.net/9/677/2009/acp-9-677-2009.pdf</self-uri>
<abstract>
<p>Detrended fluctuation analysis is applied to the time series of the global
tropopause height derived from the 1980–2004 daily radiosonde data, in
order to detect long-range correlations in its time evolution.
&lt;br&gt;&lt;br&gt;
Global tropopause height fluctuations in small time-intervals are found to
be positively correlated to those in larger time intervals in a power-law
fashion. The exponent of this dependence is larger in the tropics than in
the middle and high latitudes in both hemispheres. Greater persistence is
observed in the tropopause of the Northern than in the Southern Hemisphere.
A plausible physical explanation of the fact that long-range correlations in
tropopause variability decreases with increasing latitude is that the column
ozone fluctuations (that are closely related with the tropopause ones)
exhibit long range correlations, which are larger in tropics than in the
middle and high latitudes at long time scales.
&lt;br&gt;&lt;br&gt;
This finding for the tropopause height variability should reduce the
existing uncertainties in assessing the climatic characteristics. More
specifically the reliably modelled values of a climatic variable (i.e. past
and future simulations) must exhibit the same scaling behaviour with that
possibly existing in the real observations of the variable under
consideration. An effort has been made to this end by applying the detrended
fluctuation analysis to the global mean monthly land and sea surface
temperature anomalies during the period January 1850–August 2008. The result obtained
supports the findings presented above, notably: the correlations between the
fluctuations in the global mean monthly land and sea surface temperature
display scaling behaviour which must characterizes any projection.</p>
</abstract>
<counts><page-count count="7"/></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"> Allen, G., Vaughan, G., Bower, K. N., Williams, P. I., Crosier, J., Flynn, M., Connolly, P., Hamilton, J. F., Lee, J. D., Saxton, J. E., Watson, N. M., Gallagher, M., Coe, H., Allan, J., Choularton, T. W., and Lewis, A. C.: Aerosol and trace-gas measurements in the Darwin area during the wet season, J. Geophys. Res.-Atmos., 113(D6), D06306, doi:10.1029/2007JD008706, 2008. </mixed-citation>
</ref>
<ref id="ref2">
<label>2</label><mixed-citation publication-type="other" xlink:type="simple"> Camp, C. D., Roulston, M. S., and Yung, Y. L.: Temporal and spatial patterns of the interannual variability of total ozone in the tropics, J. Geophys. Res., 108(D20), No. 4643, 25 October, doi:10.1029/2001JD001504, 2003. </mixed-citation>
</ref>
<ref id="ref3">
<label>3</label><mixed-citation publication-type="other" xlink:type="simple"> Chandra, S. and Varotsos, C. A.: Recent trends of the total column ozone - implications for the Mediterranean region, Int. J. Remote Sens., 16, 1765–1769, 1995. </mixed-citation>
</ref>
<ref id="ref4">
<label>4</label><mixed-citation publication-type="other" xlink:type="simple"> Chen, Z., Ivanov, P. C., Hu, K., and Stanley, H. E.: Effect of nonstationarities on detrended fluctuation analysis, Phys. Rev. E., 65, 041107, doi:10.1103/PhysRevE.65.041107, 2002. </mixed-citation>
</ref>
<ref id="ref5">
<label>5</label><mixed-citation publication-type="other" xlink:type="simple"> Chen, Z., Hu, K., Carpena, P., Bernaola-Galvan, P., Stanley, H. E., and Ivanov P. C.: Effect of nonlinear filters on detrended fluctuation analysis, Phys. Rev. E., 71, 011104, doi:10.1103/PhysRevE.71.011104, 2005. </mixed-citation>
</ref>
<ref id="ref6">
<label>6</label><mixed-citation publication-type="other" xlink:type="simple"> Cortesi, U., Lambert, J. C., De Clercq, C., Bianchini, G., Blumenstock, T., Bracher, A., Castelli, E., Catoire, V., Chance, K. V., De Mazière, M., Demoulin, P., Godin Beekmann, S., Jones, N., Jucks, K., Keim, C., Kerzenmacher, T., Kuellmann, H., Kuttippurath, J., Iarlori, M., Liu, G.Y., Liu, Y., McDermid, I. S., Meijer, Y. J., Mencaraglia, F., Mikuteit, S., Oelhaf, H., Piccolo, C., Pirre, M., Raspollini, P., Ravegnani, F., Reburn, W. J., Redaelli, G., Remedios, J. J., Sembhi, H., Smale, D., Steck, T., Taddei, A., Varotsos, C., Vigouroux, C., Waterfall, A., Wetzel, G., and Wood, S.: Geophysical validation of MIPAS-ENVISAT operational ozone data, Atmos. Chem. Phys., 7, 4807–4867, 2007. </mixed-citation>
</ref>
<ref id="ref7">
<label>7</label><mixed-citation publication-type="other" xlink:type="simple"> Dameris, M., Grewe, V., Ponater, M., Deckert, R., Eyring, V., Mager, F., Matthes, S., Schnadt, C., Stenke, A., Steil, B., Bruhl, C., Giorgetta, and M. A.: Long-term changes and variability in a transient simulation with a chemistry-climate model employing realistic forcing, Atmos. Chem. Phys., 5, 2121–2145, 2005. </mixed-citation>
</ref>
<ref id="ref8">
<label>8</label><mixed-citation publication-type="other" xlink:type="simple"> Ebel, A.: Evaluation and reliability of meso-scale air pollution simulations, Lect. Notes Comput. Sc., 2179, 255–263, 2001. </mixed-citation>
</ref>
<ref id="ref9">
<label>9</label><mixed-citation publication-type="other" xlink:type="simple"> Efstathiou, M. N., Varotsos, C. and Kondratyev, K.Y.: An estimation of the surface solar ultraviolet irradiance during an extreme total ozone minimum, Meteorol. Atmos. Phys., 68(3–4), 171–176, 1998. </mixed-citation>
</ref>
<ref id="ref10">
<label>10</label><mixed-citation publication-type="other" xlink:type="simple"> Efstathiou, M. N., Varotsos, C., Singh, R. P., Cracknell, A. P., and Tzanis, C.: On the longitude dependence of total ozone trends over middle-latitudes, Int. J. Remote Sens., 24, 1361–1367, 2003. </mixed-citation>
</ref>
<ref id="ref11">
<label>11</label><mixed-citation publication-type="other" xlink:type="simple"> Gernandt, H., Goersdorf, U., Claude, H. and Varotsos, C. A.: Possible impact of polar stratospheric processes on mid-latitude vertical ozone distributions, Int. J. Remote Sens., 16, 1839–1850, 1995. </mixed-citation>
</ref>
<ref id="ref12">
<label>12</label><mixed-citation publication-type="other" xlink:type="simple"> Hoinka, K. P.: Statistics of the Global Tropopause Pressure, Mon. Weather Rev., 126, 12, 3303–3325, 1998. </mixed-citation>
</ref>
<ref id="ref13">
<label>13</label><mixed-citation publication-type="other" xlink:type="simple"> Hoinka, K. P.: Temperature, Humidity, and Wind at the Global Tropopause, Mon. Weather Rev., 127 (10), 2248–2265, 1999. </mixed-citation>
</ref>
<ref id="ref14">
<label>14</label><mixed-citation publication-type="other" xlink:type="simple"> Hu, K., Ivanov, P. C., Chen, Z., Carpena, P., and Stanley, H. E.: Effect of trends on detrended fluctuation analysis, Phys. Rev. E, 64, 011114, 2001. </mixed-citation>
</ref>
<ref id="ref15">
<label>15</label><mixed-citation publication-type="other" xlink:type="simple"> Jones, P. D., Osborn, T. J., Briffa, K. R., Folland, C. K., Horton, E. B., Alexander, L. V., Parker, D., and Rayner, N. A.: Adjusting for sampling density in grid box land and ocean surface temperature time series. J. Geophys. Res., 106, 3371–3380, 2001. </mixed-citation>
</ref>
<ref id="ref16">
<label>16</label><mixed-citation publication-type="other" xlink:type="simple"> Kantelhardt, J. W., Zschiegner, S. A., Koscielny-Bunde, E., Havlin, S., Bunde, A., and Stanley, H. E.: Multifractal detrended fluctuation analysis of nonstationary time series, Physica A, 316(1–4), 87–114, 2002. </mixed-citation>
</ref>
<ref id="ref17">
<label>17</label><mixed-citation publication-type="other" xlink:type="simple"> Kondratyev, K. Y., Varotsos, C. A., and Cracknell, A. P.: Total ozone amount trend at St-Petersburg as deduced from NIMBUS-7 TOMS observations, Int. J. Remote Sens., 15, 2669–2677, 1994. </mixed-citation>
</ref>
<ref id="ref18">
<label>18</label><mixed-citation publication-type="other" xlink:type="simple"> Kondratyev, K. Y. and Varotsos, C. A.: Volcanic eruptions and global ozone dynamics, Int. J. Remote Sens., 16, 1887–1895., 1995a. </mixed-citation>
</ref>
<ref id="ref19">
<label>19</label><mixed-citation publication-type="other" xlink:type="simple"> Kondratyev, K. Y. and Varotsos, C. A.: Atmospheric ozone variability in the context of global change, Int. J. Remote Sens., 16, 1851–1881, 1995b. </mixed-citation>
</ref>
<ref id="ref20">
<label>20</label><mixed-citation publication-type="other" xlink:type="simple"> Kondratyev, K. Y. and Varotsos, C.: Atmospheric greenhouse effect in the context of global climat change. Nuovo Cimento della Societa Italiana di Fisica C-Geophysics and Space Physics, 18, 123–151, 1995c. </mixed-citation>
</ref>
<ref id="ref21">
<label>21</label><mixed-citation publication-type="other" xlink:type="simple"> Kondratyev, K. Y. and Varotsos, C. A.: Global total ozone dynamics – Impact on surface solar ultraviolet radiation variability and ecosystems 1. Global ozone dynamics and environmental safety, Environ. Sci. Pollut. Res., 3, 153–157, 1996. </mixed-citation>
</ref>
<ref id="ref22">
<label>22</label><mixed-citation publication-type="other" xlink:type="simple"> Kondratyev, K. Y. and Varotsos, C. A.: Global tropospheric ozone dynamics – Part II: Numerical modelling of tropospheric ozone variability – Part I: Tropospheric ozone precursors, Environ. Sci. Pollut. Res., 8(2), 113–119, 2001. </mixed-citation>
</ref>
<ref id="ref23">
<label>23</label><mixed-citation publication-type="other" xlink:type="simple"> Kostopoulos, D., Varotsos, P. A., and Mourikis, S.: Conductivity of crystalline NaI., Can. J. Phys., 53, 1318–1320, 1975. </mixed-citation>
</ref>
<ref id="ref24">
<label>24</label><mixed-citation publication-type="other" xlink:type="simple"> Peng, C. K., Buldyrev, S. V., Havlin, S., Simons, M., Stanley, H. E., and Goldberger, A. L.: Mosaic organization of DNA nucleotides, Phys. Rev. E., 49(2), 1685–1689, 1994. </mixed-citation>
</ref>
<ref id="ref25">
<label>25</label><mixed-citation publication-type="other" xlink:type="simple"> Rayner, N. A., Brohan, P., Parker, D. E., Folland, C. K., Kennedy, J., Vanicek, M., Ansell, T., and Tett, S. F. B.: Improved analyses of changes and uncertainties in sea-surface temperature measured in situ since the mid-nineteenth century: HadSST2 data set, J. Climate, 19(3), 446–469, 2006. </mixed-citation>
</ref>
<ref id="ref26">
<label>26</label><mixed-citation publication-type="other" xlink:type="simple"> Reichler, T., Dameris, M., and Sausen R.:Determining the tropopause height from gridded data, Geophys. Res. Lett., 30(20): No. 2042, 2003. </mixed-citation>
</ref>
<ref id="ref27">
<label>27</label><mixed-citation publication-type="other" xlink:type="simple"> Reid, S. J., Vaughan, G., Mitchell, N. J., Prichard, I. T., Smit, H. J., Jorgensen, T. S., Varotsos, C., and De Backer, H.: Distribution of the ozone laminae during EASOE and the possible influence of inertia-gravity waves, Geophys. Res. Lett., 21, 1479–1482, 1994. </mixed-citation>
</ref>
<ref id="ref28">
<label>28</label><mixed-citation publication-type="other" xlink:type="simple"> Reid, S. J., Rex, M., von den Gathen, P., Floisand, I., Stordal, F., Carver, G. D., Beck, A., Reimer, E., Kruger-Carstensen, R., De Haan, L. L., Braathen, G., Doronkov, V., Fast, H., Kyro, E., Gil, M. Litynska, Z., Molyneux, M., Murphy, G., O&apos;Connor, F., Ravengani, F., Varotsos, C., Wenger, J., and Zerefos, C.: A study of ozone laminae using diabatic trajectories, contour advection and photochemical trajectory model simulations, J. Atmos. Chem., 30, 187–207, 1998. </mixed-citation>
</ref>
<ref id="ref29">
<label>29</label><mixed-citation publication-type="other" xlink:type="simple"> Sausen, R., and Santer, B. D.: Use of changes in tropopause height to detect human influences on climate, Meteorologische Zeitschrift, 12(3), 131–136, 2003. </mixed-citation>
</ref>
<ref id="ref30">
<label>30</label><mixed-citation publication-type="other" xlink:type="simple"> Seidel, D. J. and Randel, W. J.: Variability and trends in the global tropopause estimated from radiosonde data, J. Geophys. Res., 111, D21101, doi:10.1029/2006JD007363, 2006. </mixed-citation>
</ref>
<ref id="ref31">
<label>31</label><mixed-citation publication-type="other" xlink:type="simple"> Stanley, E.: Scaling, universality, and renormalization: Three pillars of modern critical phenomena, Rev. Mod. Phys., 71(2), S358–S366, 1999. </mixed-citation>
</ref>
<ref id="ref32">
<label>32</label><mixed-citation publication-type="other" xlink:type="simple"> Steinbrecht, W., Hassler, B., Bruhl, C., Dameris, M., Giorgetta, M. A., Grewe, V., Manzini, E., Matthes, S., Schnadt, C., Steil, B., and Winkler, P.: Interannual variation patterns of total ozone and lower stratospheric temperature in observations and model simulations, Atmos. Chem. Phys., 6, 349–374, 2006. </mixed-citation>
</ref>
<ref id="ref33">
<label>33</label><mixed-citation publication-type="other" xlink:type="simple"> Talkner, P., and Weber, R. O.: Power spectrum and detrended fluctuation analysis: Application to daily temperatures, Phys. Rev. E., 62(1), 150–160, 2000. </mixed-citation>
</ref>
<ref id="ref34">
<label>34</label><mixed-citation publication-type="other" xlink:type="simple"> Varotsos, P. A.: Estimate of pressure dependence of dielectric constant in alkali halides, Phys. Status Solidi B, 90, 339–343, 1978. </mixed-citation>
</ref>
<ref id="ref35">
<label>35</label><mixed-citation publication-type="other" xlink:type="simple"> Varotsos, P. A.: Determination of the composition of the maximum conductivity or diffusivity in mixed alkali halides, J. Phys. Chem. Sol., 42, 405–407, 1981. </mixed-citation>
</ref>
<ref id="ref36">
<label>36</label><mixed-citation publication-type="other" xlink:type="simple"> Varotsos, P. A., Sarlis, N. V., and Skordas, E. S.: Electric fields that &quot;arrive&quot; before the time-derivative of the magnetic field prior to major earthquakes, Phys. Rev. Lett., 91, 148501, doi:10.1103/PhysRevLett.91.148501, 2003. </mixed-citation>
</ref>
<ref id="ref37">
<label>37</label><mixed-citation publication-type="other" xlink:type="simple"> Varotsos, C.: Comment on connection between the 11-year solar cycle, the Q. B. O. and the total ozone, J. Atmos. Terr. Phys., 51, 367–370, 1989. </mixed-citation>
</ref>
<ref id="ref38">
<label>38</label><mixed-citation publication-type="other" xlink:type="simple"> Varotsos, C. A. and Cracknell, A. P.: Ozone depletion over Greece as deduced from nimbus-7 Toms measurements, Int. J. Remote Sens., 14, 2053–2059, 1993. </mixed-citation>
</ref>
<ref id="ref39">
<label>39</label><mixed-citation publication-type="other" xlink:type="simple"> Varotsos, C. A. and Cracknell, A. P.: Three years of total ozone measurements over Athens obtained using the remote sensing technique of a Dobson spectrophotometer, Int. J. Remote Sens., 15, 1519–1524, 1994. </mixed-citation>
</ref>
<ref id="ref40">
<label>40</label><mixed-citation publication-type="other" xlink:type="simple"> Varotsos, C., Kondratyev, K. Y., and Katsikis, S.: On the relationship between total ozone and solar ultraviolet radiation at St. Petersburg, Russia, Geophys. Res. Lett., 22, 3481–3484, 1995. </mixed-citation>
</ref>
<ref id="ref41">
<label>41</label><mixed-citation publication-type="other" xlink:type="simple"> Varotsos, C. A., Kondratyev, K. Y., and Cracknell, A. P.: New evidence for ozone depletion over Athens, Greece, Int. J. Remote Sens., 21, 2951–2955, 2000. </mixed-citation>
</ref>
<ref id="ref42">
<label>42</label><mixed-citation publication-type="other" xlink:type="simple"> Varotsos, C.: The southern hemisphere ozone hole split in 2002, Environ. Sci. and Pollut. Res., 9, 375–376, 2002. </mixed-citation>
</ref>
<ref id="ref43">
<label>43</label><mixed-citation publication-type="other" xlink:type="simple"> Varotsos, C.: Atmospheric pollution and remote sensing: implications for the southern hemisphere ozone hole splitnon 2002 and the northern mid-latitude ozone trend, Monitoring of Changes Related to natural and Manmade Hazards Using Space Technology, Adv. Space Res., 33, 249–253, 2004. </mixed-citation>
</ref>
<ref id="ref44">
<label>44</label><mixed-citation publication-type="other" xlink:type="simple"> Varotsos, C., Cartalis, C., Vlamakis, A., Tzanis, C., and Keramitsoglou, I.: The long-term coupling between column ozone and tropopause properties, J. Climate, 17, 3843–3854, 2004. </mixed-citation>
</ref>
<ref id="ref45">
<label>45</label><mixed-citation publication-type="other" xlink:type="simple"> Varotsos, C.: Modern computational techniques for environmental data. Application to the global ozone layer. Computational Science – ICCS 2005, PT 3, Lecture Notes in Computer Science, 3516, 504–510, 2005. </mixed-citation>
</ref>
<ref id="ref46">
<label>46</label><mixed-citation publication-type="other" xlink:type="simple"> Varotsos, C., Ondov, J., and Efstathiou, M.: Scaling properties of air pollution in Athens, Greece, and Baltimore, Maryland, Atmos. Environ., 39(22) 4041–4047, 2005. </mixed-citation>
</ref>
<ref id="ref47">
<label>47</label><mixed-citation publication-type="other" xlink:type="simple"> Varotsos, C. and Kirk-Davidoff, D.: Long-memory processes in ozone and temperature variations at the region 60 S–60 N, Atmos. Chem. Phys., 6, 4093–4100, 2006. </mixed-citation>
</ref>
<ref id="ref48">
<label>48</label><mixed-citation publication-type="other" xlink:type="simple"> Varotsos, C. A., Ondov, J. M., Cracknell, A. P., Efstathiou, M. N., and Assimakopoulos, M. N.: Long-range persistence in global Aerosol Index dynamics, Int. J. Remote Sens., 27(16), 3593–3603, 2006. </mixed-citation>
</ref>
<ref id="ref49">
<label>49</label><mixed-citation publication-type="other" xlink:type="simple"> Varotsos, C., Assimakopoulos, M. N., and Efstathiou, M.: Technical Note: Long-term memory effect in the atmospheric CO&lt;sub&gt;2&lt;/sub&gt; concentration at Mauna Loa, Atmos. Chem. Phys., 7, 629–634, 2007. </mixed-citation>
</ref>
<ref id="ref50">
<label>50</label><mixed-citation publication-type="other" xlink:type="simple"> Weber, R. O. and Talkner, P.: Spectra and correlations of climate data from days to decades, J. Geophys. Res., 106, 20131–20144, 2001. </mixed-citation>
</ref>
<ref id="ref51">
<label>51</label><mixed-citation publication-type="other" xlink:type="simple"> World Meteorological Organization: Definition of the tropopause, WMO Bull., 6, 136, Geneva, Switzerland, 1957. </mixed-citation>
</ref>
</ref-list>
</back>
</article>