<?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">OS</journal-id>
<journal-title-group>
<journal-title>Ocean Science</journal-title>
<abbrev-journal-title abbrev-type="publisher">OS</abbrev-journal-title>
<abbrev-journal-title abbrev-type="nlm-ta">Ocean Sci.</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">1812-0792</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/os-6-413-2010</article-id>
<title-group>
<article-title>Modeling the effects of size on patch dynamics of an inert tracer</article-title>
</title-group>
<contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Xiu</surname>
<given-names>P.</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>Chai</surname>
<given-names>F.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
</contrib-group><aff id="aff1">
<label>1</label>
<addr-line>School of Marine Sciences, University of Maine, Orono, Maine, USA</addr-line>
</aff>
<pub-date pub-type="epub">
<day>26</day>
<month>03</month>
<year>2010</year>
</pub-date>
<volume>6</volume>
<issue>1</issue>
<fpage>413</fpage>
<lpage>421</lpage>
<permissions>
<copyright-statement>Copyright: &#x000a9; 2010 P. Xiu</copyright-statement>
<copyright-year>2010</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://os.copernicus.org/articles/6/413/2010/os-6-413-2010.html">This article is available from https://os.copernicus.org/articles/6/413/2010/os-6-413-2010.html</self-uri>
<self-uri xlink:href="https://os.copernicus.org/articles/6/413/2010/os-6-413-2010.pdf">The full text article is available as a PDF file from https://os.copernicus.org/articles/6/413/2010/os-6-413-2010.pdf</self-uri>
<abstract>
<p>Mesoscale iron enrichment experiments have revealed that additional iron
affects the phytoplankton productivity and carbon cycle. However, the role
of initial size of fertilized patch in determining the patch evolution is
poorly quantified due to the limited observational capability and complex of
physical processes. Using a three-dimensional ocean circulation model, we
simulated different sizes of inert tracer patches that were only regulated
by physical circulation and diffusion. Model results showed that during the
first few days since release of inert tracer, the calculated dilution rate
was found to be a linear function with time, which was sensitive to the
initial patch size with steeper slope for smaller size patch. After the
initial phase of rapid decay, the relationship between dilution rate and
time became an exponential function, which was also size dependent.
Therefore, larger initial size patches can usually last longer and
ultimately affect biogeochemical processes much stronger than smaller
patches.</p>
</abstract>
<counts><page-count count="9"/></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">Abraham, E. R., Law, C. S., Boyd, P. W., Lavender, S. J., Maldonado, M. T., and Bowie, A. R.: Importance of stirring in the development of an iron-fertilized phytoplankton bloom, Nature, 407, 727–730, 2000.</mixed-citation>
</ref>
<ref id="ref2">
<label>2</label><mixed-citation publication-type="other" xlink:type="simple">Bowie, A. R., Maldonado, M. T., Frew, R. D., Croot, P. L., Achterberg, E. P., Mantoura, R. F. C., Worsfold, P. J., Law, C. S., and Boyd, P. W.: The fate of added iron during a mesoscale fertilisation experiment in the Southern Ocean, Deep-Sea Res. Pt.&amp;nbsp;II, 48, 2703–2743, 2001.</mixed-citation>
</ref>
<ref id="ref3">
<label>3</label><mixed-citation publication-type="other" xlink:type="simple">Boyd, P. W., Watson, A. J., Law, C. S., Abraham, E. R., Trull, T., Murdoch, R., Bakker, D. C. E., Bowie, A. R., Buesseler, K. O., Chang, H., Charette, M., Croot, P., Downing, K., Frew, R., Gall, M., Hadfield, M., Hall, J., Harvey, M., Jameson, G., LaRoche, J., Liddicoat, M., Ling, R., Maldonado, M. T., McKay, R. M., Nobber, S., Pickmere, S., Pridmore, R., Rintoul, S., Safi, K., Sutton, P., Strzepek, R., Tanneberger, K., Turner, S., Waite, A., and Zeldis, J.: Phytoplankton bloom upon mesoscale iron fertilization of polar Southern Ocean water, Nature, 407, 695–702, 2000.</mixed-citation>
</ref>
<ref id="ref4">
<label>4</label><mixed-citation publication-type="other" xlink:type="simple">Boyd, P. W., Law, C. S., Wong, C. S., Nojiri, Y., Tsuda, A., Levasseur, M., Takeda, S., Rivkin, R., Harrison, P. J., Strzepek, R., Gower, J., McKay, R. M., Abraham, E., Arychuk, M., Barwell-Clarke, J., Crawford, W., Crawford, D., Hale, M., Harada, K., Johnson, K., Kiyosawa, H., Kudo, I., Marchetti, A., Miller, W., Needoba, J., Nishioka, J., Ogawa, H., Page, J., Robert, M., Saito, H., Sastri, A., Sherry, N., Soutar, T., Sutherland, N., Taira, Y., Whitney, F., Wong, S. K. E., and Yoshimura, T.: The decline and fate of an iron-induced subarctic phytoplankton bloom, Nature, 428, 549–553, 2004.</mixed-citation>
</ref>
<ref id="ref5">
<label>5</label><mixed-citation publication-type="other" xlink:type="simple">Boyd, P. W., Jickells, T., Law, C. S., Blain, S., Boyle, E. A., Buesseler, K. O., Coale, K. H., Cullen, J. J., de Baar, H. J. W., Follows, M., Harvey, M., Lancelot, C., Levasseur, M., Owens, N. P. J., Pollard, R., Rivikin, R. B., Sarmiento, J., Schoemann, V., Smetacek, V., Takeda, S., Tsuda, A., Turner, S., and Watson, A. J.: Mesoscale iron enrichment experiments 1993–2005: Synthesis and future directions, Science, 315, 612–617, 2007.</mixed-citation>
</ref>
<ref id="ref6">
<label>6</label><mixed-citation publication-type="other" xlink:type="simple">Buesseler, K. O. and Boyd, P. W.: Will ocean fertilization work? Nature., 300, 67–68, 2003.</mixed-citation>
</ref>
<ref id="ref7">
<label>7</label><mixed-citation publication-type="other" xlink:type="simple">Buesseler, K. O., Doney, S. C., Karl, D. M., Boyd, P. W., Caldeira, K., Chai, F., Coale, K. H., de Baar, H. J. W., Falkowski, P. G., Johnson, K. S., Lampitt, R. S., Michaels, A. F., Naqvi, S. W. A., Smetacek, V., Takeda, S., and Watson, A. J.: Ocean iron fertilization-Moving forward in a sea of uncertainty, Science, 319, 162, 2008.</mixed-citation>
</ref>
<ref id="ref8">
<label>8</label><mixed-citation publication-type="other" xlink:type="simple">Chai, F., Dugdale, R. C., Peng, T. H., Wilkerson, F. P., and Barber, R. T.: One dimensional ecosystem model of the Equatorial Pacific upwelling system, Part I: Model development and silicon and nitrogen cycle, Deep-Sea Res. Pt.&amp;nbsp;II, 49, 2713–2745, 2002.</mixed-citation>
</ref>
<ref id="ref9">
<label>9</label><mixed-citation publication-type="other" xlink:type="simple">Chai, F., Jiang, M., Chao, Y., Dugdale, R. C., Chavez, F., and Barber, R. T.: Modeling responses of diatom productivity and biogenic silica export to iron enrichment in the equatorial Pacific Ocean, Global Biogeochem. Cy., 21, GB3S90, https://doi.org/ 10.1029/2006GB002804, 2007.</mixed-citation>
</ref>
<ref id="ref10">
<label>10</label><mixed-citation publication-type="other" xlink:type="simple">Chai, F., Liu, G., Xue, H., Shi, L., Chao, Y., Tseng, C. M., Chou, W. C., and Liu, K. K.: Seasonal and interannual variability of carbon cycle in South China Sea: a three dimensional physical-biogeochemical modeling study, J. Oceanogr., 65, 703–720, 2009.</mixed-citation>
</ref>
<ref id="ref11">
<label>11</label><mixed-citation publication-type="other" xlink:type="simple">Coale, K. H., Johnson, K. S., Fitzwater, S. E., Gordon, R. M., Tanner, S., Chavez, F. P., Ferioli, L., Sakamoto, C., Rogers, P., Millero, F., Steinberg, P., Nightingale, P., Cooper, D., Cochlan, W. P., Landry, M. R., Constantinou, J., Rollwagen, G., Trasvina, A., and Kudela, R.: A massive phytoplankton bloom induced by an ecosystem-scale iron fertilisation experiment in the equatorial Pacific Ocean, Nature, 383, 495–501, 1996.</mixed-citation>
</ref>
<ref id="ref12">
<label>12</label><mixed-citation publication-type="other" xlink:type="simple">Coale, K. H., Johnson, K. S., Chavez, F. P., Buesseler, K. O., Barber, R. T., Brzezinski, M. A., Cochlan, W. P., Millero, F. J., Falkowski, P. G., Bauer, J. E., Wanninkhof, R. H., Kudela, R. M., Altabet, M. A., Hales, B. E., Takahashi, T., Landry, M. R., Bidigare, R. R., Wang, X., Chase, Z., Strutton, P. G., Friederich, G. E., Gorbunov, M. Y., Lance, V. P., Hilting, A. K., Hiscock, M. R., Demarest, M., Hiscock, W. T., Sullivan, K. F., Tanner, S. J., Gordon, R. M., Hunter, C. N., Elrod, V. A., Fitzwater, S. E., Jones, J. L., Tozzi, S., Koblizek, M., Roberts, A. E., Herndon, J., Brewster, J., Ladizinsky, N., Smith, G., Cooper, D., Timothy, D., Brown, S. L., Selph, K. E., Sheridan, C. C., Twining, B. S., and Johnson, Z. I.: Southern Ocean iron enrichment experiment: carbon cycling in high- and low-Si water, Science, 304, 408–414, 2004.</mixed-citation>
</ref>
<ref id="ref13">
<label>13</label><mixed-citation publication-type="other" xlink:type="simple">de Baar, H. J. W., Boyd, P. W., Coale, K. H., Landry, M. R., Tsuda, A., Assmy, P., Bakker, D. C. E., Bozec, Y., Barber, R. T., Brzeinski, M. A., Buesseler, K. O., Boyé, M., Croot, P. L., Gervais, F., Gorbunov, M. Y., Harrison, P. J., Hiscock, W. T., Laan, P., Lancelot, C., Law., C. S., Levasseur, M., Marchetti, A., Millero, F. J., Nishioka, J., Nojiri, Y., van Oijen, T., Riebesell, U., Rijkenberg, M. J. A., Saito, H., Takeda, S., Timmermans, K. R., Veldhuis, M. J. W., Waite, A. M., and Wong, C. S.: Synthesis of iron fertilization experiments: From the iron age in the age of enlightenment, J. Geophys. Res., 110, C09S16, https://doi.org/10.1029/2004JC002601, 2005.</mixed-citation>
</ref>
<ref id="ref14">
<label>14</label><mixed-citation publication-type="other" xlink:type="simple">Elliott, S. and Chu, S.: Comment on &quot;Ocean fertilization experiments may initiate a large scale phytoplankton bloom&quot; by Z. Neufeld et al., Geophys. Res. Lett., 30(6), 1274, https://doi.org/10.1029/2002GL016255, 2003.</mixed-citation>
</ref>
<ref id="ref15">
<label>15</label><mixed-citation publication-type="other" xlink:type="simple">Fujii, M., Yoshie, N., Yamanka, Y., and Chai, F.: Simulated biogeochemical responses to iron enrichments in three high nutrient, low chlorophyll (HNLC) regions, Prog. Oceanogr., 64, 307–324, 2005.</mixed-citation>
</ref>
<ref id="ref16">
<label>16</label><mixed-citation publication-type="other" xlink:type="simple">Garrett, C.: On the initial streakiness of a dispersing tracer in two- and three-dimensional turbulence, Dyn. Atmos. Oceans., 7, 265–277, 1983.</mixed-citation>
</ref>
<ref id="ref17">
<label>17</label><mixed-citation publication-type="other" xlink:type="simple">Gnanadesikan, A., Sarmiento, J. L., and Slater, R. D.: Effects of patchy ocean fertilization on atmospheric carbon dioxide and biological productivity, Global Biogeochem. Cy., 17(2), 1050, https://doi.org/10.1029/2002GB001940, 2003.</mixed-citation>
</ref>
<ref id="ref18">
<label>18</label><mixed-citation publication-type="other" xlink:type="simple">Gordon, R. M., Coale, K. H., and Johnson, K. S.: Iron distributions in the Equatorial Pacific: Implications for new production, Limnol. Oceangr., 42, 419–431, 1997.</mixed-citation>
</ref>
<ref id="ref19">
<label>19</label><mixed-citation publication-type="other" xlink:type="simple">Jiang, M. and Chai, F.: Iron and silicate regulation on new and export production in the equatorial Pacific: A physical-biological model study, Geophys. Res. Lett., 31, L07307, https://doi.org/10.1029/2003GL018598, 2004.</mixed-citation>
</ref>
<ref id="ref20">
<label>20</label><mixed-citation publication-type="other" xlink:type="simple">Jin, X., Gruber, N., Frenzel, H., Doney, S. C., and McWilliams, J. C.: The impact on atmospheric CO&lt;sub&gt;2&lt;/sub&gt; of iron fertilization induced changes in the ocean&apos;s biological pump, Biogeosciences, 5, 385–406, 2008.</mixed-citation>
</ref>
<ref id="ref21">
<label>21</label><mixed-citation publication-type="other" xlink:type="simple">Kalnay, E., Kanamitsu, M., Kistler, R., Collins, W., Deaven, D., Gandin, L., Iredell, M., Saha, S., White, G., Woollen, J., Zhu, Y., Chelliah, M., Ebisuzaki, W., Higgins, W., Janowiak, J., Mo, K. C., Ropelewski, C., Wang, J., Jenne, R., and Joseph, D.: The NCEP/NCAR 40-year reanalysis project, Bull. Am. Meteor. Soc., 77, 437–471, 1996.</mixed-citation>
</ref>
<ref id="ref22">
<label>22</label><mixed-citation publication-type="other" xlink:type="simple">Kaupp, L., Measures, C., Selph, K., Mackenzie, F.: The distribution of dissolved Fe and Al in the upper waters of the eastern equatorial Pacific. Deep Sea-Res. Pt.&amp;nbsp;II, in press, 2010.</mixed-citation>
</ref>
<ref id="ref23">
<label>23</label><mixed-citation publication-type="other" xlink:type="simple">Large, W. G. and Pond, S.: Sensible and latent heat flux measurements over the ocean, J. Phys. Oceanogr., 12, 464–482, 1982.</mixed-citation>
</ref>
<ref id="ref24">
<label>24</label><mixed-citation publication-type="other" xlink:type="simple">Large, W. G., McWilliams, J. C., and Doney, S. C.: Oceanic vertical mixing: A review and a model with nonlocal boundary layer parameterization, Rev. Geophys., 32, 363–403. 1994.</mixed-citation>
</ref>
<ref id="ref25">
<label>25</label><mixed-citation publication-type="other" xlink:type="simple">Law, C. S., Watson, A. J., Liddicoat, M. I., and Stanton, T.: Sulphur hexafluoride as a tracer of biogeochemical and physical processes in an open-ocean iron fertilisation experiment, Deep Sea-Res. Pt.&amp;nbsp;II, 45, 977–994, 1998.</mixed-citation>
</ref>
<ref id="ref26">
<label>26</label><mixed-citation publication-type="other" xlink:type="simple">Law, C. S., Crawford, W. R., Smith, M. J., Boyd, P. W., Wong, C. S., Nojiri, Y., Robert, M., Abraham, E. R., Johnson, W. K., Forsland, V., and Arychuk, M.: Patch evolution and the biogeochemical impact of entrainment during an iron fertilisation experiment in the sub-Arctic Pacific, Deep Sea-Res. Pt.&amp;nbsp;II, 53, 2012–2033, 2006.</mixed-citation>
</ref>
<ref id="ref27">
<label>27</label><mixed-citation publication-type="other" xlink:type="simple">Ledwell, J. R., Watson, A. J., and Law, C. S.: Mixing of a tracer in the pycnocline, J. Geophys. Res., 103, 21499–21529, 1998.</mixed-citation>
</ref>
<ref id="ref28">
<label>28</label><mixed-citation publication-type="other" xlink:type="simple">Liu, G. and Chai, F.: Seasonal and interannual variability of primary and export production in the South China Sea: a three-dimensional physical–biogeochemical model study, ICES J. Marine Syst., 66, 420–431, 2009.</mixed-citation>
</ref>
<ref id="ref29">
<label>29</label><mixed-citation publication-type="other" xlink:type="simple">Martin, J. H.: Glacial-interglacial CO&lt;sub&gt;2&lt;/sub&gt; change: the iron hypothesis, Paleoceanography, 5, 1–13, 1990.</mixed-citation>
</ref>
<ref id="ref30">
<label>30</label><mixed-citation publication-type="other" xlink:type="simple">Neufeld, Z., Haynes, P. H., Garçon, V., and Sudre, J.: Ocean fertilization experiments may initiate a large scale phytoplankton bloom, Geophys. Res. Lett., 29(11), 1534, https://doi.org/10.1029/2001GL013677, 2002.</mixed-citation>
</ref>
<ref id="ref31">
<label>31</label><mixed-citation publication-type="other" xlink:type="simple">Sundermeyer, M. A. and Price, J. F.: Lateral mixing and the north Atlantic tracer release experiment: observations and numerical simulations of Lagrangian particles and a passive tracer, J. Geophys. Res., 103, 21481–21497, 1998.</mixed-citation>
</ref>
<ref id="ref32">
<label>32</label><mixed-citation publication-type="other" xlink:type="simple">Timonthy, D. A., Wong, C. S., Nojiri, Y., Ianson, D. C., and Whitney, F. A.: The effects of patch expansion on budgets of C,N and Si for the Subarctic Ecosystem Response to Iron Enrichment Study (SERIES), Deep Sea-Res. Pt.&amp;nbsp;II, 53, 2034–2052, 2006.</mixed-citation>
</ref>
<ref id="ref33">
<label>33</label><mixed-citation publication-type="other" xlink:type="simple">Tsuda, A., Takeda, S., Saito, H., Nishioka, J., Nojiri, Y., Kudo, I., Kiyosawa, H., Shiomoto, A., Imai, K., Ono, T., Shimamoto, A., Tsumune, D., Yoshimura, T., Aono, T., Hinuma, A., Kinugasa, M., Suzuki, K., Sohrin, Y., Noiri, Y., Tani, H., Deguchi, Y., Tsurushima, N., Ogawa, H., Fukami, K., Kuma, K., and Saino, T.: A mesoscale iron enrichment in the western subarctic Pacific induces a large centric diatom bloom, Science, 300, 958–961, 2003.</mixed-citation>
</ref>
<ref id="ref34">
<label>34</label><mixed-citation publication-type="other" xlink:type="simple">Wang, X. and Chao, Y.: Simulated sea surface salinity variability in the tropical Pacific, Geophys. Res. Lett., 31, L02302, https://doi.org/10.1029/2003GLD18146, 2004.</mixed-citation>
</ref>
<ref id="ref35">
<label>35</label><mixed-citation publication-type="other" xlink:type="simple">Zhang, H. M., Bates, J. J., and Reynolds, R. W.: Assessment of composite global sampling: Sea surface wind speed, Geophys. Res. Lett., 33, L17714, https://doi.org/10.1029/2006GL027086, 2006.</mixed-citation>
</ref>
</ref-list>
</back>
</article>