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<front>
<journal-meta>
<journal-id journal-id-type="publisher">BG</journal-id>
<journal-title-group>
<journal-title>Biogeosciences</journal-title>
<abbrev-journal-title abbrev-type="publisher">BG</abbrev-journal-title>
<abbrev-journal-title abbrev-type="nlm-ta">Biogeosciences</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">1726-4189</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/bg-10-2711-2013</article-id>
<title-group>
<article-title>Factors challenging our ability to detect long-term trends in ocean chlorophyll</article-title>
</title-group>
<contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Beaulieu</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>Henson</surname>
<given-names>S. A.</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>Sarmiento</surname>
<given-names>Jorge L.</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>Dunne</surname>
<given-names>J. P.</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>Doney</surname>
<given-names>S. C.</given-names>
</name>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Rykaczewski</surname>
<given-names>R. R.</given-names>
</name>
<xref ref-type="aff" rid="aff5">
<sup>5</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Bopp</surname>
<given-names>L.</given-names>
</name>
<xref ref-type="aff" rid="aff6">
<sup>6</sup>
</xref>
</contrib>
</contrib-group><aff id="aff1">
<label>1</label>
<addr-line>Program in Atmospheric and Oceanic Sciences, Princeton University, Princeton, New Jersey, USA</addr-line>
</aff>
<aff id="aff2">
<label>2</label>
<addr-line>National Oceanography Centre, Southampton, UK</addr-line>
</aff>
<aff id="aff3">
<label>3</label>
<addr-line>Geophysical Fluid Dynamics Laboratory, Princeton, New Jersey, USA</addr-line>
</aff>
<aff id="aff4">
<label>4</label>
<addr-line>Woods Hole Oceanographic Institution, Woods Hole, Massachusetts, USA</addr-line>
</aff>
<aff id="aff5">
<label>5</label>
<addr-line>Marine Science Program and Biological Sciences Department, University of South Carolina, Columbia, South Carolina, USA</addr-line>
</aff>
<aff id="aff6">
<label>6</label>
<addr-line>Laboratoire des Sciences du Climat et de l&apos;Environnement, Gif sur Yvette, France</addr-line>
</aff>
<pub-date pub-type="epub">
<day>23</day>
<month>04</month>
<year>2013</year>
</pub-date>
<volume>10</volume>
<issue>4</issue>
<fpage>2711</fpage>
<lpage>2724</lpage>
<permissions>
<copyright-statement>Copyright: &#x000a9; 2013 C. Beaulieu et al.</copyright-statement>
<copyright-year>2013</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://bg.copernicus.org/articles/10/2711/2013/bg-10-2711-2013.html">This article is available from https://bg.copernicus.org/articles/10/2711/2013/bg-10-2711-2013.html</self-uri>
<self-uri xlink:href="https://bg.copernicus.org/articles/10/2711/2013/bg-10-2711-2013.pdf">The full text article is available as a PDF file from https://bg.copernicus.org/articles/10/2711/2013/bg-10-2711-2013.pdf</self-uri>
<abstract>
<p>Global climate change is expected to affect the ocean&apos;s biological
productivity. The most comprehensive information available about the global
distribution of contemporary ocean primary productivity is derived from
satellite data. Large spatial patchiness and interannual to multidecadal
variability in chlorophyll &lt;i&gt;a&lt;/i&gt; concentration challenges efforts to distinguish
a global, secular trend given satellite records which are limited in
duration and continuity. The longest ocean color satellite record comes from
the Sea-viewing Wide Field-of-view Sensor (SeaWiFS), which failed in
December 2010. The Moderate Resolution Imaging Spectroradiometer (MODIS)
ocean color sensors are beyond their originally planned operational
lifetime. Successful retrieval of a quality signal from the current Visible
Infrared Imager Radiometer Suite (VIIRS) instrument, or successful launch of
the Ocean and Land Colour Instrument (OLCI) expected in 2014 will hopefully
extend the ocean color time series and increase the potential for detecting
trends in ocean productivity in the future. Alternatively, a potential
discontinuity in the time series of ocean chlorophyll &lt;i&gt;a&lt;/i&gt;, introduced by a
change of instrument without overlap and opportunity for cross-calibration,
would make trend detection even more challenging. In this paper, we
demonstrate that there are a few regions with statistically significant
trends over the ten years of SeaWiFS data, but at a global scale the trend
is not large enough to be distinguished from noise. We quantify the degree
to which red noise (autocorrelation) especially challenges trend detection
in these observational time series. We further demonstrate how
discontinuities in the time series at various points would affect our
ability to detect trends in ocean chlorophyll &lt;i&gt;a&lt;/i&gt;. We highlight the importance
of maintaining continuous, climate-quality satellite data records for
climate-change detection and attribution studies.</p>
</abstract>
<counts><page-count count="14"/></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">Aksnes, D. L. and Ohman, M. D.: Multi-decadal shoaling of the euphotic zone in the southern sector of the California Current System, Limnol. Oceanogr., 54, 1272–1281, &lt;a href=&quot;http://dx.doi.org/10.4319/lo.2009.54.4.1272&quot;&gt;https://doi.org/10.4319/lo.2009.54.4.1272&lt;/a&gt;, 2009.</mixed-citation>
</ref>
<ref id="ref2">
<label>2</label><mixed-citation publication-type="other" xlink:type="simple">Antoine, D., Morel, A., Gordon, H. R., Banzon, V. F., and Evans, R. H.: Bridging ocean color observations of the 1980s and 2000s in search of long-term trends, J. Geophys. Res.-Oceans, 110, C06009, &lt;a href=&quot;http://dx.doi.org/10.1029/2004jc002620&quot;&gt;https://doi.org/10.1029/2004jc002620&lt;/a&gt;, 2005.</mixed-citation>
</ref>
<ref id="ref3">
<label>3</label><mixed-citation publication-type="other" xlink:type="simple">Aumont, O. and Bopp, L.: Globalizing results from ocean in situ iron fertilization studies, Global Biogeochem. Cy., 20, GB2017, &lt;a href=&quot;http://dx.doi.org/10.1029/2005gb002591&quot;&gt;https://doi.org/10.1029/2005gb002591&lt;/a&gt;, 2006.</mixed-citation>
</ref>
<ref id="ref4">
<label>4</label><mixed-citation publication-type="other" xlink:type="simple">Beaulieu, C., Seidou, O., Ouarda, T., Zhang, X., Boulet, G., and Yagouti, A.: Intercomparison of homogenization techniques for precipitation data, Water Resour. Res., 44, W02425, &lt;a href=&quot;http://dx.doi.org/10.1029/2006wr005615&quot;&gt;https://doi.org/10.1029/2006wr005615&lt;/a&gt;, 2008.</mixed-citation>
</ref>
<ref id="ref5">
<label>5</label><mixed-citation publication-type="other" xlink:type="simple">Behrenfeld, M. J., O&apos;Malley, R. T., Siegel, D. A., McClain, C. R., Sarmiento, J. L., Feldman, G. C., Milligan, A. J., Falkowski, P. G., Letelier, R. M., and Boss, E. S.: Climate-driven trends in contemporary ocean productivity, Nature, 444, 752–755, &lt;a href=&quot;http://dx.doi.org/10.1038/nature05317&quot;&gt;https://doi.org/10.1038/nature05317&lt;/a&gt;, 2006.</mixed-citation>
</ref>
<ref id="ref6">
<label>6</label><mixed-citation publication-type="other" xlink:type="simple">Bopp, L., Aumont, O., Cadule, P., Alvain, S., and Gehlen, M.: Response of diatoms distribution to global warming and potential implications: A global model study, Geophys. Res. Lett., 32, L19606, &lt;a href=&quot;http://dx.doi.org/10.1029/2005GL023653&quot;&gt;https://doi.org/10.1029/2005GL023653&lt;/a&gt;, 2005.</mixed-citation>
</ref>
<ref id="ref7">
<label>7</label><mixed-citation publication-type="other" xlink:type="simple">Boss, E., Swift, D., Taylor, L., Brickley, P., Zaneveld, R., Riser, S., Perry, M. J., and Strutton, P. G.: Observations of pigment and particle distributions in the western North Atlantic from an autonomous float and ocean color satellite, Limnol. Oceanogr., 53, 2112–2122, &lt;a href=&quot;http://dx.doi.org/10.4319/lo.2008.53.5_part_2.2112&quot;&gt;https://doi.org/10.4319/lo.2008.53.5_part_2.2112&lt;/a&gt;, 2008.</mixed-citation>
</ref>
<ref id="ref8">
<label>8</label><mixed-citation publication-type="other" xlink:type="simple">Box, G. E. P. and Tiao, G. C.: Intervention analysis with applications to economic and environmental problems, J. Am. Stat. Assoc., 70, 70–79, &lt;a href=&quot;http://dx.doi.org/10.2307/2285379&quot;&gt;https://doi.org/10.2307/2285379&lt;/a&gt;, 1975.</mixed-citation>
</ref>
<ref id="ref9">
<label>9</label><mixed-citation publication-type="other" xlink:type="simple">Boyce, D. G., Lewis, M. R., and Worm, B.: Global phytoplankton decline over the past century, Nature, 466, 591–596, &lt;a href=&quot;http://dx.doi.org/10.1038/nature09268&quot;&gt;https://doi.org/10.1038/nature09268&lt;/a&gt;, 2010.</mixed-citation>
</ref>
<ref id="ref10">
<label>10</label><mixed-citation publication-type="other" xlink:type="simple">Brockwell, P. J. and Davis, R. A.: Introduction to time series and forecasting, 2nd Edn., Springer, New York, NY, 2002.</mixed-citation>
</ref>
<ref id="ref11">
<label>11</label><mixed-citation publication-type="other" xlink:type="simple">Campbell, J. W.: The Lognormal distribution as a model for biooptical variability in the sea, J. Geophys. Res.-Oceans, 100, 13237–13254, &lt;a href=&quot;http://dx.doi.org/10.1029/95jc00458&quot;&gt;https://doi.org/10.1029/95jc00458&lt;/a&gt;, 1995.</mixed-citation>
</ref>
<ref id="ref12">
<label>12</label><mixed-citation publication-type="other" xlink:type="simple">Corno, C., Karl, D.M., Church, M. J., Letelier, R. M., Lukas, R., Bidigare, R. R., and Abbott, M. R.: Impact of climate forcing on ecosystem processes in the North Pacific Subtropical Gyre, J. Geophys. Res., 112, C04021, &lt;a href=&quot;http://dx.doi.org/10.1029/2006JC003730&quot;&gt;https://doi.org/10.1029/2006JC003730&lt;/a&gt;, 2007.</mixed-citation>
</ref>
<ref id="ref13">
<label>13</label><mixed-citation publication-type="other" xlink:type="simple">Doney, S. C., Lima, I., Moore, J. K., Lindsay, K., Behrenfeld, M. J., Westberry, T. K., Mahowald, N., Glover, D. M., and Takahashi, T.: Skill metrics for confronting global upper ocean ecosystem-biogeochemistry models against field and remote sensing data, J. Marine Syst., 76, 95–112, &lt;a href=&quot;http://dx.doi.org/10.1016/j.jmarsys.2008.05.015&quot;&gt;https://doi.org/10.1016/j.jmarsys.2008.05.015&lt;/a&gt;, 2009.</mixed-citation>
</ref>
<ref id="ref14">
<label>14</label><mixed-citation publication-type="other" xlink:type="simple">Dunne, J. P., Armstrong, R. A., Gnanadesikan, A., and Sarmiento, J. L.: Empirical and mechanistic models for the particle export ratio, Global Biogeochem. Cy., 19, GB4026, &lt;a href=&quot;http://dx.doi.org/10.1029/2004gb002390&quot;&gt;https://doi.org/10.1029/2004gb002390&lt;/a&gt;, 2005.</mixed-citation>
</ref>
<ref id="ref15">
<label>15</label><mixed-citation publication-type="other" xlink:type="simple">Dunne, J. P., Sarmiento, J. L., and Gnanadesikan, A.: A synthesis of global particle export from the surface ocean and cycling through the ocean interior and on the seafloor, Global Biogeochem. Cy., 21, GB4006, &lt;a href=&quot;http://dx.doi.org/10.1029/2006gb002907&quot;&gt;https://doi.org/10.1029/2006gb002907&lt;/a&gt;, 2007.</mixed-citation>
</ref>
<ref id="ref16">
<label>16</label><mixed-citation publication-type="other" xlink:type="simple">Fargion, G. S. and McClain, C. R.: MODIS validation, data merger and other activities accomplished by the SIMBIOS project: 2002-2003, NASA/TM-2003-212249, National Aeronautics and Space Administration, Goddard Space Flight center, Greenbelt, Maryland, 2003.</mixed-citation>
</ref>
<ref id="ref17">
<label>17</label><mixed-citation publication-type="other" xlink:type="simple">Gregg, W. W., Casey, N. W., and McClain, C. R.: Recent trends in global ocean chlorophyll, Geophys. Res. Lett., 32, L03606, &lt;a href=&quot;http://dx.doi.org/10.1029/2004gl021808&quot;&gt;https://doi.org/10.1029/2004gl021808&lt;/a&gt;, 2005.</mixed-citation>
</ref>
<ref id="ref18">
<label>18</label><mixed-citation publication-type="other" xlink:type="simple">Hasselmann, K.: Stochastic climate models. 1. Theory, Tellus, 28, 473–485, 1976.</mixed-citation>
</ref>
<ref id="ref19">
<label>19</label><mixed-citation publication-type="other" xlink:type="simple">Hegerl, G. C., Zwiers, F. W., Braconnot, P., Gillett, N. P., Luo, Y., Marengo Orsini, J. A., Nicholls, N., Penner J. E., and Stott, P. A.: Understanding and Attributing Climate Change, in: Climate Change 2007: The Physical Science Basis, Contribution of Working Group I to the Fourth Assessment Report of the Intergovernmental Panel on Climate Change, Cambridge University Press, Cambridge, UK and New York, NY, USA, 2007.</mixed-citation>
</ref>
<ref id="ref20">
<label>20</label><mixed-citation publication-type="other" xlink:type="simple">Henson, S., Cole, H., Beaulieu, C., and Yool, A.: The impact of global warming on seasonality of ocean primary production, Biogeosciences Discuss., 10, 1421–1450, &lt;a href=&quot;http://dx.doi.org/10.5194/bgd-10-1421-2013&quot;&gt;https://doi.org/10.5194/bgd-10-1421-2013&lt;/a&gt;, 2013.</mixed-citation>
</ref>
<ref id="ref21">
<label>21</label><mixed-citation publication-type="other" xlink:type="simple">Henson, S. A., Sarmiento, J. L., Dunne, J. P., Bopp, L., Lima, I., Doney, S. C., John, J., and Beaulieu, C.: Detection of anthropogenic climate change in satellite records of ocean chlorophyll and productivity, Biogeosciences, 7, 621–640, &lt;a href=&quot;http://dx.doi.org/10.5194/bg-7-621-2010&quot;&gt;https://doi.org/10.5194/bg-7-621-2010&lt;/a&gt;, 2010.</mixed-citation>
</ref>
<ref id="ref22">
<label>22</label><mixed-citation publication-type="other" xlink:type="simple">Hooker, S. B. and McClain, C. R.: The calibration and validation of SeaWiFS data, Prog. Oceanogr., 45, 427–465, &lt;a href=&quot;http://dx.doi.org/10.1016/s0079-6611(00)00012-4&quot;&gt;https://doi.org/10.1016/s0079-6611(00)00012-4&lt;/a&gt;, 2000.</mixed-citation>
</ref>
<ref id="ref23">
<label>23</label><mixed-citation publication-type="other" xlink:type="simple">Karl, D. M., Bidigare, R. R., and Letelier, R. M.: Long-term changes in plankton community structure and productivity in the North Pacific subtropical gyre: The domain shift hypothesis, Deep-Sea Res. II, 48, 1449–1470, &lt;a href=&quot;http://dx.doi.org/10.1016/S0967-0645(00)00149-1&quot;&gt;https://doi.org/10.1016/S0967-0645(00)00149-1&lt;/a&gt;, 2001.</mixed-citation>
</ref>
<ref id="ref24">
<label>24</label><mixed-citation publication-type="other" xlink:type="simple">Lomas, M. W., Steinberg, D. K., Dickey, T., Carlson, C. A., Nelson, N. B., Condon, R. H., and Bates, N. R.: Increased ocean carbon export in the Sargasso Sea linked to climate variability is countered by its enhanced mesopelagic attenuation, Biogeosciences, 7, 57–70, &lt;a href=&quot;http://dx.doi.org/10.5194/bg-7-57-2010&quot;&gt;https://doi.org/10.5194/bg-7-57-2010&lt;/a&gt;, 2010.</mixed-citation>
</ref>
<ref id="ref25">
<label>25</label><mixed-citation publication-type="other" xlink:type="simple">Mackas, D. L.: Does blending of chlorophyll data bias temporal trend?, Nature, 472, E4–E5, &lt;a href=&quot;http://dx.doi.org/10.1038/nature09951&quot;&gt;https://doi.org/10.1038/nature09951&lt;/a&gt;, 2011.</mixed-citation>
</ref>
<ref id="ref26">
<label>26</label><mixed-citation publication-type="other" xlink:type="simple">Maritorena, S. and Siegel, D. A.: Consistent merging of satellite ocean color data sets using a bio-optical model, Remote Sens. Environ., 94, 429-440, &lt;a href=&quot;http://dx.doi.org/10.1016/j.rse.2004.08.014&quot;&gt;https://doi.org/10.1016/j.rse.2004.08.014&lt;/a&gt;, 2005.</mixed-citation>
</ref>
<ref id="ref27">
<label>27</label><mixed-citation publication-type="other" xlink:type="simple">Martinez, E., Antoine, D., D&apos;Ortenzio, F., and Gentili, B.: Climate-Driven Basin-Scale Decadal Oscillations of Oceanic Phytoplankton, Science, 326, 1253–1256, &lt;a href=&quot;http://dx.doi.org/10.1126/science.1177012&quot;&gt;https://doi.org/10.1126/science.1177012&lt;/a&gt;, 2009.</mixed-citation>
</ref>
<ref id="ref28">
<label>28</label><mixed-citation publication-type="other" xlink:type="simple">McClain, C. R.: A Decade of Satellite Ocean Color Observations, Annual Review of Marine Science, 1, 19–42, &lt;a href=&quot;http://dx.doi.org/10.1146/annurev.marine.010908.163650&quot;&gt;https://doi.org/10.1146/annurev.marine.010908.163650&lt;/a&gt;, 2009.</mixed-citation>
</ref>
<ref id="ref29">
<label>29</label><mixed-citation publication-type="other" xlink:type="simple">McQuatters-Gollop, A., Reid, P. C., Edwards, M., Burkill, P. H., Castellani, C., Batten, S., Gieskes, W., Beare, D., Bidigare, R. R., Head, E., Johnson, R., Kahru, M., Koslow, J. A., and Pena, A.: Is there a decline in marine phytoplankton?, Nature, 472, E6–E7, &lt;a href=&quot;http://dx.doi.org/10.1038/nature09950&quot;&gt;https://doi.org/10.1038/nature09950&lt;/a&gt;, 2011.</mixed-citation>
</ref>
<ref id="ref30">
<label>30</label><mixed-citation publication-type="other" xlink:type="simple">Meister, G., Franz, B. A., Kwiatkowska, E. J., and McClain, C. R.: Corrections to the Calibration of MODIS Aqua Ocean Color Bands Derived From SeaWiFS Data, IEEE T. Geosci. Remote, 50, 310–319, &lt;a href=&quot;http://dx.doi.org/10.1109/tgrs.2011.2160552&quot;&gt;https://doi.org/10.1109/tgrs.2011.2160552&lt;/a&gt;, 2012.</mixed-citation>
</ref>
<ref id="ref31">
<label>31</label><mixed-citation publication-type="other" xlink:type="simple">Nakicenovic, N., Alcamo, J., Davis, G., de vries, B., Fenhann, J., Gaffin, S., Gregory, K., Grübler, A., Tae Yong, J., Kram, T., La Rovere, E. L., Michaelis, L., Mori, S., Morita, T., Pepper, W., Pitcher, H., Price, L., Riahi, K., Roehrl, A., Rogner, H.-H., Sankovski, A., Schlesinger, M., Shukla, P., Smith, S., Swart, R., van Rooijen, S., Victor, N., and Dadi, Z.: Special report on emissions scenarios., Working Group III of the Intergovernmental Panel on Climate Change, Cambridge University Press, Cambridge, 2000.</mixed-citation>
</ref>
<ref id="ref32">
<label>32</label><mixed-citation publication-type="other" xlink:type="simple">National Research Council – Committee on Climate Data Records from NOAA Operational Satellites: Climate data records from environmental satellites, National Academies Press, Washington, DC, 2004.</mixed-citation>
</ref>
<ref id="ref33">
<label>33</label><mixed-citation publication-type="other" xlink:type="simple">Perry, M. J., Sackmann, B. S., Eriksen, C. C., and Lee, C. M.: Seaglider observations of blooms and subsurface chlorophyll maxima off the Washington coast, Limnol. Oceanogr., 53, 2169–2179, &lt;a href=&quot;http://dx.doi.org/10.4319/lo.2008.53.5_part_2.2169&quot;&gt;https://doi.org/10.4319/lo.2008.53.5_part_2.2169&lt;/a&gt;, 2008.</mixed-citation>
</ref>
<ref id="ref34">
<label>34</label><mixed-citation publication-type="other" xlink:type="simple">Peterson, T. C., Easterling, D. R., Karl, T. R., Groisman, P., Nicholls, N., Plummer, N., Torok, S., Auer, I., Boehm, R., Gullett, D., Vincent, L., Heino, R., Tuomenvirta, H., Mestre, O., Szentimrey, T., Salinger, J., Forland, E. J., Hanssen-Bauer, I., Alexandersson, H., Jones, P., and Parker, D.: Homogeneity adjustments of in situ atmospheric climate data: A review, Int. J. Climatol., 18, 1493–1517, &lt;a href=&quot;http://dx.doi.org/10.1002/(sici)1097-0088(19981115)18:13&lt; 1493::aid-joc329&gt;3.0.co;2-t&quot;&gt;https://doi.org/10.1002/(sici)1097-0088(19981115)18:13&lt; 1493::aid-joc329&gt;3.0.co;2-t&lt;/a&gt;, 1998.</mixed-citation>
</ref>
<ref id="ref35">
<label>35</label><mixed-citation publication-type="other" xlink:type="simple">Polovina, J. J., Howell, E. A., and Abecassis, M.: Ocean&apos;s least productive waters are expanding, Geophys. Res. Lett., 35, L03618, &lt;a href=&quot;http://dx.doi.org/10.1029/2007gl031745&quot;&gt;https://doi.org/10.1029/2007gl031745&lt;/a&gt;, 2008.</mixed-citation>
</ref>
<ref id="ref36">
<label>36</label><mixed-citation publication-type="other" xlink:type="simple">Polovina, J. J., Dunne, J. P., Woodworth, P. A., and Howell, E. A.: Projected expansion of the subtropical biome and contraction of the temperate and equatorial upwelling biomes in the North Pacific under global warming, ICES J. Mar. Sci., 68, 986–995, &lt;a href=&quot;http://dx.doi.org/10.1093/icesjms/fsq198&quot;&gt;https://doi.org/10.1093/icesjms/fsq198&lt;/a&gt;, 2011.</mixed-citation>
</ref>
<ref id="ref37">
<label>37</label><mixed-citation publication-type="other" xlink:type="simple">Pottier, C., Garcon, V., Larnicol, G., Sudre, J., Schaeffer, P., and Le Traon, P. Y.: Merging SeaWiFS and MODIS/Aqua ocean color data in North and Equatorial Atlantic using weighted averaging and objective analysis, IEEE T. Geosci. Remote, 44, 3436–3451, &lt;a href=&quot;http://dx.doi.org/10.1109/tgrs.2006.878441&quot;&gt;https://doi.org/10.1109/tgrs.2006.878441&lt;/a&gt;, 2006.</mixed-citation>
</ref>
<ref id="ref38">
<label>38</label><mixed-citation publication-type="other" xlink:type="simple">R Development Core Team, R: A Language and Environment for Statistical Computing, R Foundation for Statistical Computing, 409 pp., available at: &lt;a href=&quot;http://www.R-project.org.&quot;&gt;http://www.R-project.org.&lt;/a&gt;, 2008</mixed-citation>
</ref>
<ref id="ref39">
<label>39</label><mixed-citation publication-type="other" xlink:type="simple">Rudnick, D. L. and Davis, R. E.: Red noise and regime shifts, Deep-Sea Res. I, 50, 691–699, &lt;a href=&quot;http://dx.doi.org/10.1016/s0967-0637(03)00053-0&quot;&gt;https://doi.org/10.1016/s0967-0637(03)00053-0&lt;/a&gt;, 2003.</mixed-citation>
</ref>
<ref id="ref40">
<label>40</label><mixed-citation publication-type="other" xlink:type="simple">Rykaczewski, R. R. and Dunne, J. P.: A measured look at ocean chlorophyll trends, Nature, 472, E5–E6, &lt;a href=&quot;http://dx.doi.org/10.1038/nature09952&quot;&gt;https://doi.org/10.1038/nature09952&lt;/a&gt;, 2011.</mixed-citation>
</ref>
<ref id="ref41">
<label>41</label><mixed-citation publication-type="other" xlink:type="simple">Saba, V. S., Friedrichs, M. A. M., Carr, M. E., Antoine, D., Armstrong, R. A., Asanuma, I., Aumont, O., Bates, N. R., Behrenfeld, M. J., Bennington, V., Bopp, L., Bruggeman, J., Buitenhuis, E. T., Church, M. J., Ciotti, A. M., Doney, S. C., Dowell, M., Dunne, J., Dutkiewicz, S., Gregg, W., Hoepffner, N., Hyde, K. J. W., Ishizaka, J., Kameda, T., Karl, D. M., Lima, I., Lomas, M. W., Marra, J., McKinley, G. A., Melin, F., Moore, J. K., Morel, A., O&apos;Reilly, J., Salihoglu, B., Scardi, M., Smyth, T. J., Tang, S. L., Tjiputra, J., Uitz, J., Vichi, M., Waters, K., Westberry, T. K., and Yool, A.: Challenges of modeling depth-integrated marine primary productivity over multiple decades: A case study at BATS and HOT, Global Biogeochem. Cy., 24, GB3020, &lt;a href=&quot;http://dx.doi.org/10.1029/2009gb003655&quot;&gt;https://doi.org/10.1029/2009gb003655&lt;/a&gt;, 2010.</mixed-citation>
</ref>
<ref id="ref42">
<label>42</label><mixed-citation publication-type="other" xlink:type="simple">Sarmiento, J. L., Slater, R., Barber, R., Bopp, L., Doney, S. C., Hirst, A. C., Kleypas, J., Matear, R., Mikolajewicz, U., Monfray, P., Soldatov, V., Spall, S. A., and Stouffer, R.: Response of ocean ecosystems to climate warming, Global Biogeochem. Cy., 18, GB3003, &lt;a href=&quot;http://dx.doi.org/10.1029/2003gb002134&quot;&gt;https://doi.org/10.1029/2003gb002134&lt;/a&gt;, 2004.</mixed-citation>
</ref>
<ref id="ref43">
<label>43</label><mixed-citation publication-type="other" xlink:type="simple">Siegel, D. A., Behrenfeld, M. J., Maritorena, S., McClain, C. R., Antoine, D., Bailey, S. W., Bontempi, P. S., Boss, E. S., Dierssen, H. M., Doney, S. C., Eplee, R. E. J., Evans, R. H., Feldman, G. C., Fields, E., Franz, B. A., Kuring, N. A., Mengalt, C., Nelson, N. B., Patt, F. S., Robinson, W. S., Sarmiento, J. S., Swan, C. M., Werdell, P. J., Westberry, T. K., Wilding, J. G., and Yoder, J. A.: Regional to global assessments of decadal scale phytoplankton dynamics from the SeaWiFS mission, Remote Sens. Environ., in press, 2013.</mixed-citation>
</ref>
<ref id="ref44">
<label>44</label><mixed-citation publication-type="other" xlink:type="simple">Steinacher, M., Joos, F., Frölicher, T. L., Bopp, L., Cadule, P., Cocco, V., Doney, S. C., Gehlen, M., Lindsay, K., Moore, J. K., Schneider, B., and Segschneider, J.: Projected 21st century decrease in marine productivity: a multi-model analysis, Biogeosciences, 7, 979–1005, &lt;a href=&quot;http://dx.doi.org/10.5194/bg-7-979-2010&quot;&gt;https://doi.org/10.5194/bg-7-979-2010&lt;/a&gt;, 2010.</mixed-citation>
</ref>
<ref id="ref45">
<label>45</label><mixed-citation publication-type="other" xlink:type="simple">Thornton, P. E., Doney, S. C., Lindsay, K., Moore, J. K., Mahowald, N., Randerson, J. T., Fung, I., Lamarque, J.-F., Feddema, J. J., and Lee, Y.-H.: Carbon-nitrogen interactions regulate climate-carbon cycle feedbacks: results from an atmosphere-ocean general circulation model, Biogeosciences, 6, 2099–2120, &lt;a href=&quot;http://dx.doi.org/10.5194/bg-6-2099-2009&quot;&gt;https://doi.org/10.5194/bg-6-2099-2009&lt;/a&gt;, 2009.</mixed-citation>
</ref>
<ref id="ref46">
<label>46</label><mixed-citation publication-type="other" xlink:type="simple">Tiao, G. C., Reinsel, G. C., Xu, D. M., Pedrick, J. H., Zhu, X. D., Miller, A. J., Deluisi, J. J., Mateer, C. L., and Wuebbles, D. J.: Effects of autocorrelation and temporal sampling schemes on estimates of trend and spatial correlation, J. Geophys. Res.-Atmos., 95, 20507–20517, &lt;a href=&quot;http://dx.doi.org/10.1029/JD095iD12p20507&quot;&gt;https://doi.org/10.1029/JD095iD12p20507&lt;/a&gt;, 1990.</mixed-citation>
</ref>
<ref id="ref47">
<label>47</label><mixed-citation publication-type="other" xlink:type="simple">Vantrepotte, V. and Mélin, F.: Temporal variability of 10-year global SeaWiFS time-series of phytoplankton chlorophyll a concentration, ICES J. Mar. Sci., 66, 1547–1556, &lt;a href=&quot;http://dx.doi.org/10.1093/icesjms/fsp107&quot;&gt;https://doi.org/10.1093/icesjms/fsp107&lt;/a&gt;, 2009.</mixed-citation>
</ref>
<ref id="ref48">
<label>48</label><mixed-citation publication-type="other" xlink:type="simple">Weatherhead, E. C., Reinsel, G. C., Tiao, G. C., Meng, X. L., Choi, D. S., Cheang, W. K., Keller, T., DeLuisi, J., Wuebbles, D. J., Kerr, J. B., Miller, A. J., Oltmans, S. J., and Frederick, J. E.: Factors affecting the detection of trends: Statistical considerations and applications to environmental data, J. Geophys. Res.-Atmos., 103, 17149–17161, &lt;a href=&quot;http://dx.doi.org/10.1029/98jd00995&quot;&gt;https://doi.org/10.1029/98jd00995&lt;/a&gt;, 1998.</mixed-citation>
</ref>
<ref id="ref49">
<label>49</label><mixed-citation publication-type="other" xlink:type="simple">Wei, W. W. S.: Time series analysis – univariate and multivariate methods, Addison-Wesley, New York, NY, 1990.</mixed-citation>
</ref>
<ref id="ref50">
<label>50</label><mixed-citation publication-type="other" xlink:type="simple">Wunsch, C.: The interpretation of short climate records, with comments on the North Atlantic and Southern Oscillations, Bulletin of the American Meteorological Society, 80, 245–255, &lt;a href=&quot;http://dx.doi.org/10.1175/1520-0477(1999)080&lt;0245:tioscr&gt;2.0.co;2&quot;&gt;https://doi.org/10.1175/1520-0477(1999)080&lt;0245:tioscr&gt;2.0.co;2&lt;/a&gt;, 1999.</mixed-citation>
</ref>
<ref id="ref51">
<label>51</label><mixed-citation publication-type="other" xlink:type="simple">Yoder, J. A. and Kennelly, M. A.: Seasonal and ENSO variability in global ocean phytoplankton chlorophyll derived from 4 years of SeaWiFS measurements, Global Biogeochem. Cy., 17, 1112, &lt;a href=&quot;http://dx.doi.org/10.1029/2002gb001942&quot;&gt;https://doi.org/10.1029/2002gb001942&lt;/a&gt;, 2003.</mixed-citation>
</ref>
<ref id="ref52">
<label>52</label><mixed-citation publication-type="other" xlink:type="simple">Yoder, J. A., Kennelly, M. A., Doney, S. C., and Lima, I. D.: Are trends in SeaWiFS chlorophyll time-series unusual relative to historic variability, Acta Oceanol. Sin., 29, 1–4, &lt;a href=&quot;http://dx.doi.org/10.1007/s13131-010-0016-o&quot;&gt;https://doi.org/10.1007/s13131-010-0016-o&lt;/a&gt;, 2010.</mixed-citation>
</ref>
</ref-list>
</back>
</article>