<?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">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-10-6029-2013</article-id>
<title-group>
<article-title>Biogeochemical origins of particles obtained from the inversion of the volume scattering function and spectral absorption in coastal waters</article-title>
</title-group>
<contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Zhang</surname>
<given-names>X.</given-names>
<ext-link>https://orcid.org/0000-0002-2982-210X</ext-link>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Huot</surname>
<given-names>Y.</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>Gray</surname>
<given-names>D. J.</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>Weidemann</surname>
<given-names>A.</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>Rhea</surname>
<given-names>W. J.</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
</contrib>
</contrib-group><aff id="aff1">
<label>1</label>
<addr-line>Earth System Science and Policy, University of North Dakota, Grand Forks, North Dakota 58202, USA</addr-line>
</aff>
<aff id="aff2">
<label>2</label>
<addr-line>Centre d&apos;applications et de recherches en télédétection, Université de Sherbrooke, Sherbrooke, QC J1K 2R1, Canada</addr-line>
</aff>
<aff id="aff3">
<label>3</label>
<addr-line>US Naval Research Laboratory Code 7231, Washington, DC 20375, USA</addr-line>
</aff>
<aff id="aff4">
<label>4</label>
<addr-line>US Naval Research Laboratory Code 7330, Stennis Space Center, MS 39529, USA</addr-line>
</aff>
<pub-date pub-type="epub">
<day>13</day>
<month>09</month>
<year>2013</year>
</pub-date>
<volume>10</volume>
<issue>9</issue>
<fpage>6029</fpage>
<lpage>6043</lpage>
<permissions>
<copyright-statement>Copyright: &#x000a9; 2013 X. Zhang 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/10/6029/2013/bg-10-6029-2013.html">This article is available from https://bg.copernicus.org/articles/10/6029/2013/bg-10-6029-2013.html</self-uri>
<self-uri xlink:href="https://bg.copernicus.org/articles/10/6029/2013/bg-10-6029-2013.pdf">The full text article is available as a PDF file from https://bg.copernicus.org/articles/10/6029/2013/bg-10-6029-2013.pdf</self-uri>
<abstract>
<p>In the aquatic environment, particles can be broadly separated into
phytoplankton (PHY), non-algal particle (NAP) and dissolved (or very small
particle, VSP) fractions. Typically, absorption spectra are inverted to
quantify these fractions, but volume scattering functions (VSFs) can also be
used. Both absorption spectra and VSFs were used to estimate particle
fractions for an experiment in the Chesapeake Bay. A complete set of water
inherent optical properties was measured using a suite of commercial
instruments and a prototype Multispectral Volume Scattering Meter (MVSM);
the chlorophyll concentration, [Chl] was determined using the HPLC method.
The total scattering coefficient measured by an ac-s and the VSF at a few
backward angles measured by a HydroScat-6 and an ECO-VSF agreed with the
LISST and MVSM data within 5%, thus indicating inter-instrument
consistency. The size distribution and scattering parameters for PHY, NAP
and VSP were inverted from measured VSFs. For the absorption inversion, the
&quot;dissolved&quot; absorption spectra were measured for filtrate passing through
a 0.2 μm filter, whereas [Chl] and NAP absorption spectra were
inverted from the particulate fraction. Even though the total scattering
coefficient showed no correlation with [Chl], estimates of [Chl] from the
VSF-inversion agreed well with the HPLC measurements (&lt;i&gt;r&lt;/i&gt; = 0.68, mean
relative errors = −20%). The scattering associated with NAP and VSP
both correlated well with the NAP and &quot;dissolved&quot; absorption coefficients,
respectively. While NAP dominated forward, and hence total, scattering, our
results also suggest that the scattering by VSP was far from negligible and
dominated backscattering. Since the sizes of VSP range from 0.02 to 0.2 μm, covering (a portion of) the operationally defined &quot;dissolved&quot;
matter, the typical assumption that colored dissolved organic matter (i.e.,
CDOM) does not scatter may not hold, particularly in a coastal or estuarine
environment.</p>
</abstract>
<counts><page-count count="15"/></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">Aas, E.: Refractive index of phytoplankton derived from its metabolite composition, J. Plankton Res., 18, 2223–2249, &lt;a href=&quot;http://dx.doi.org/10.1093/plankt/18.12.2223&quot;&gt;https://doi.org/10.1093/plankt/18.12.2223&lt;/a&gt;, 1996.</mixed-citation>
</ref>
<ref id="ref2">
<label>2</label><mixed-citation publication-type="other" xlink:type="simple">Antoine, D., Siegel, D. A., Kostadinov, T., Maritorena, S., Nelson, N. B., Gentili, B., Vellucci, V., and Guillocheau, N.: Variability in optical particle backscattering in contrasting bio-optical oceanic regimes, Limnol. Oceanogr., 56, 955–973, 2011.</mixed-citation>
</ref>
<ref id="ref3">
<label>3</label><mixed-citation publication-type="other" xlink:type="simple">Babin, M. and Stramski, D.: Variations in the mass-specific absorption coefficient of mineral particles suspended in water, Limnol. Oceanogr., 49, 756–767, 2004.</mixed-citation>
</ref>
<ref id="ref4">
<label>4</label><mixed-citation publication-type="other" xlink:type="simple">Babin, M., Stramski, D., Ferrari, G. M., Claustre, H., Bricaud, A., Obolensky, G., and Hoepffner, N.: Variations in the light absorption coefficients of phytoplankton, nonalgal particles, and dissolved organic matter in coastal waters around Europe, J. Geophys. Res., 108, 3211, &lt;a href=&quot;http://dx.doi.org/10.1029/2001JC000882&quot;&gt;https://doi.org/10.1029/2001JC000882&lt;/a&gt;, 2003.</mixed-citation>
</ref>
<ref id="ref5">
<label>5</label><mixed-citation publication-type="other" xlink:type="simple">Berthon, J.-F., Shybanov, E., Lee, M. E. G., and Zibordi, G.: Measurements and modeling of the volume scattering function in the coastal northern Adriatic Sea, Appl. Optics, 46, 5189–5203, 2007.</mixed-citation>
</ref>
<ref id="ref6">
<label>6</label><mixed-citation publication-type="other" xlink:type="simple">Bi, L., Yang, P., Kattawar, G. W., and Kahn, R.: Modeling optical properties of mineral aerosol particles by using nonsymmetric hexahedra, Appl. Optics, 49, 334–342, 2010.</mixed-citation>
</ref>
<ref id="ref7">
<label>7</label><mixed-citation publication-type="other" xlink:type="simple">Bogucki, D. J., Domaradzki, J. A., Stramski, D., and Zaneveld, J. R. V.: Comparison of near-forward light scattering on oceanic turbulence and particles, Appl. Optics, 37, 4669–4677, 1998.</mixed-citation>
</ref>
<ref id="ref8">
<label>8</label><mixed-citation publication-type="other" xlink:type="simple">Boss, E., Pegau, W. S., Gardner, W. D., Zaneveld, J. R. V., Barnard, A. H., Twardowski, M. S., Chang, G. C., and Dickey, T. D.: Spectral particulate attenuation and particle size distribution in the bottom boundary layer of a continental shelf, J. Geophys. Res., 106, 9509–9516, &lt;a href=&quot;http://dx.doi.org/10.1029/2000jc900077&quot;&gt;https://doi.org/10.1029/2000jc900077&lt;/a&gt;, 2001.</mixed-citation>
</ref>
<ref id="ref9">
<label>9</label><mixed-citation publication-type="other" xlink:type="simple">Boss, E., Pegau, W. S., Lee, M., Twardowski, M., Shybanov, E., and Korotaev, G.: Particulate backscattering ratio at LEO 15 and its use to study particle composition and distribution, J. Geophys. Res., 109, C01014, &lt;a href=&quot;http://dx.doi.org/10.1029/2002JC001514&quot;&gt;https://doi.org/10.1029/2002JC001514&lt;/a&gt;, 2004.</mixed-citation>
</ref>
<ref id="ref10">
<label>10</label><mixed-citation publication-type="other" xlink:type="simple">Boss, E., Collier, R., Larson, G., Fennel, K., and Pegau, W. S.: Measurements of spectral optical properties and their relation to biogeochemical variables and processes in Crater Lake, Crater Lake National Park, OR, Hydrobiologia, 574, 149–159, 2007.</mixed-citation>
</ref>
<ref id="ref11">
<label>11</label><mixed-citation publication-type="other" xlink:type="simple">Boss, E., Slade, W. H., Behrenfeld, M., and Dall&apos;Olmo, G.: Acceptance angle effects on the beam attenuation in the ocean, Opt. Express, 17, 1535–1550, 2009.</mixed-citation>
</ref>
<ref id="ref12">
<label>12</label><mixed-citation publication-type="other" xlink:type="simple">Bricaud, A., Morel, A., and Prieur, L.: Optical efficiency factors of some phytoplankters, Limnol. Oceanogr., 28, 816–832, 1983.</mixed-citation>
</ref>
<ref id="ref13">
<label>13</label><mixed-citation publication-type="other" xlink:type="simple">Bricaud, A., Bédhomme, A.-L., and Morel, A.: Optical properties of diverse phytoplanktonic species: experimental results and theoretical interpretation, J. Plankton Res., 10, 851–873, 1988.</mixed-citation>
</ref>
<ref id="ref14">
<label>14</label><mixed-citation publication-type="other" xlink:type="simple">Bricaud, A., Morel, A., Babin, M., Allali, K., and Claustre, H.: Variations of light absorption by suspended particles with chlorophyll &lt;i&gt;a&lt;/i&gt; concentration in oceanic (case 1) waters: Analysis and implication for bio-optical models, J. Geophys. Res., 103, 31033–31044, 1998.</mixed-citation>
</ref>
<ref id="ref15">
<label>15</label><mixed-citation publication-type="other" xlink:type="simple">Campbell, J. W.: The lognormal distribution as a model for bio-optical variability in the sea, J. Geophys. Res., 100, 13237–13254, 1995.</mixed-citation>
</ref>
<ref id="ref16">
<label>16</label><mixed-citation publication-type="other" xlink:type="simple">Carder, K., Betzer, P., and Eggimann, D.: Physical, Chemical, and Optical Measures of Suspended-Particle Concentrations: Their Intercomparison and Application to the West African Shelf, in: Suspended Solids in Water, edited by: Gibbs, R., Marine Science, Springer US, 173–193, 1974.</mixed-citation>
</ref>
<ref id="ref17">
<label>17</label><mixed-citation publication-type="other" xlink:type="simple">Chami, M., Shybanov, E. B., Churilova, T. Y., Khomenko, G. A., Lee, M. E. G., Martynov, O. V., Berseneva, G. A., and Korotaev, G. K.: Optical properties of the particles in the Crimea coastal waters (Black Sea), J. Geophys. Res., 110, C11020, &lt;a href=&quot;http://dx.doi.org/10.1029/2005jc003008&quot;&gt;https://doi.org/10.1029/2005jc003008&lt;/a&gt;, 2005.</mixed-citation>
</ref>
<ref id="ref18">
<label>18</label><mixed-citation publication-type="other" xlink:type="simple">Chami, M., Shybanov, E. B., Khomenko, G. A., Lee, M. E.-G., Martynov, O. V., and Korotaev, G. K.: Spectral variation of the volume scattering function measured over the full range of scattering angles in a coastal environment, Appl. Optics, 45, 3605–3619, 2006.</mixed-citation>
</ref>
<ref id="ref19">
<label>19</label><mixed-citation publication-type="other" xlink:type="simple">Chang, G. and Whitmire, A. L.: Effects of bulk particle characteristics on backscattering and optical closure, Opt. Express, 17, 2132–2142, 2009.</mixed-citation>
</ref>
<ref id="ref20">
<label>20</label><mixed-citation publication-type="other" xlink:type="simple">Chavez, F. P., Buck, K. R., Bidigare, R. R., Karl, D. M., Hebel, D., Latasa, M., Campbell, L., and Newton, J.: On the chlorophyll &lt;i&gt;a&lt;/i&gt; retention properties of glass-fiber GF/F filters, Limnol. Oceanogr., 40, 428–433, 1995.</mixed-citation>
</ref>
<ref id="ref21">
<label>21</label><mixed-citation publication-type="other" xlink:type="simple">Chin, J. H., Sliepcevich, C. M., and Tribus, M.: Particle Size Distributions from Angular Variation of Intensity of Forward-Scattered Light at Very Small Angles, J. Phys. Chem., 59, 841–844, &lt;a href=&quot;http://dx.doi.org/10.1021/j150531a010&quot;&gt;https://doi.org/10.1021/j150531a010&lt;/a&gt;, 1955.</mixed-citation>
</ref>
<ref id="ref22">
<label>22</label><mixed-citation publication-type="other" xlink:type="simple">Ciotti, A. M., Lewis, M. R., and Cullen, J. J.: Assessment of the relationships between dominant cell size in natural phytoplankton communities and the spectral shape of the absorption coefficient, Limnol. Oceanogr., 47, 404–417, 2002.</mixed-citation>
</ref>
<ref id="ref23">
<label>23</label><mixed-citation publication-type="other" xlink:type="simple">Clavano, W. R., Boss, E., and Karp-Boss, L.: Inherent Optical Properties of Non-Spherical Marine-Like Particles – From Theory to Observation, in: Oceanography and Marine Biology: An Annual Review, edited by: Gibson, R. N., Atkinson, R. J. A., and Gordon, J. D. M., Taylor &amp; Francis, Boca Raton, 1–38, 2007.</mixed-citation>
</ref>
<ref id="ref24">
<label>24</label><mixed-citation publication-type="other" xlink:type="simple">Coston, S. D. and George, N.: Particle sizing by inversion of the optical transform pattern, Appl. Optics, 30, 4785–4794, 1991.</mixed-citation>
</ref>
<ref id="ref25">
<label>25</label><mixed-citation publication-type="other" xlink:type="simple">Czerski, H., Twardowski, M., Zhang, X., and Vagle, S.: Resolving size distributions of bubbles with radii less than 30 μm with optical and acoustical methods, J. Geophys. Res., 116, C00H11, &lt;a href=&quot;http://dx.doi.org/10.1029/2011jc007177&quot;&gt;https://doi.org/10.1029/2011jc007177&lt;/a&gt;, 2011.</mixed-citation>
</ref>
<ref id="ref26">
<label>26</label><mixed-citation publication-type="other" xlink:type="simple">Dall&apos;Olmo, G., Westberry, T. K., Behrenfeld, M. J., Boss, E., and Slade, W. H.: Significant contribution of large particles to optical backscattering in the open ocean, Biogeosciences, 6, 947–967, &lt;a href=&quot;http://dx.doi.org/10.5194/bg-6-947-2009&quot;&gt;https://doi.org/10.5194/bg-6-947-2009&lt;/a&gt;, 2009.</mixed-citation>
</ref>
<ref id="ref27">
<label>27</label><mixed-citation publication-type="other" xlink:type="simple">Doxaran, D., Babin, M., and Leymarie, E.: Near-infrared light scattering by particles in coastal waters, Opt. Express, 15, 12834–12849, 2007.</mixed-citation>
</ref>
<ref id="ref28">
<label>28</label><mixed-citation publication-type="other" xlink:type="simple">Doxaran, D., Ruddick, K., McKee, D., Gentili, B., Tailliez, D., Chami, M., and Babin, M.: Spectral variations of light scattering by marine particles in coastal waters, from visible to near infrared, Limnol. Oceanogr., 54, 1257–1271, 2009.</mixed-citation>
</ref>
<ref id="ref29">
<label>29</label><mixed-citation publication-type="other" xlink:type="simple">Estapa, M. L., Boss, E., Mayer, L. M., and Roesler, C. S.: Role of iron and organic carbon in mass-specific light absorption by particulate matter from Louisiana coastal waters, Limnol. Oceanogr., 57, 97–112, &lt;a href=&quot;http://dx.doi.org/10.4319/lo.2012.57.1.0097&quot;&gt;https://doi.org/10.4319/lo.2012.57.1.0097&lt;/a&gt;, 2012.</mixed-citation>
</ref>
<ref id="ref30">
<label>30</label><mixed-citation publication-type="other" xlink:type="simple">Fournier, G. R. and Forand, J. L.: Analytical phase function for ocean water, SPIE Ocean Optics XII, 2258, 194–201, 1994.</mixed-citation>
</ref>
<ref id="ref31">
<label>31</label><mixed-citation publication-type="other" xlink:type="simple">Fujiki, T. and Taguchi, S.: Variability in chlorophyll &lt;i&gt;a&lt;/i&gt; specific absorption coefficient in marine phytoplankton as a function of cell size and irradiance, J. Plankton Res., 24, 859–874, &lt;a href=&quot;http://dx.doi.org/10.1093/plankt/24.9.859&quot;&gt;https://doi.org/10.1093/plankt/24.9.859&lt;/a&gt;, 2002.</mixed-citation>
</ref>
<ref id="ref32">
<label>32</label><mixed-citation publication-type="other" xlink:type="simple">Gordon, H. R. and Brown, O. B.: A theoretical model of light scattering by Sargasso Sea particulates, Limnol. Oceanogr., 17, 826–832, 1972.</mixed-citation>
</ref>
<ref id="ref33">
<label>33</label><mixed-citation publication-type="other" xlink:type="simple">Gordon, H. R., Brown, O. B., Evans, R. H., Brown, J. W., Smith, R. C., Baker, K. S., and Clark, D. K.: A semianalytic radiance model of ocean color, J. Geophys. Res., 93, 10909–10924, 1988.</mixed-citation>
</ref>
<ref id="ref34">
<label>34</label><mixed-citation publication-type="other" xlink:type="simple">Gould, R. W., Arnone, J. R. A., and Martinolich, P. M.: Spectral dependence of the scattering coefficient in case 1 and case 2 waters, Appl. Optics, 38, 2377–2383, 1999.</mixed-citation>
</ref>
<ref id="ref35">
<label>35</label><mixed-citation publication-type="other" xlink:type="simple">Green, R. E., Sosik, H. M., Olson, R. J., and DuRand, M. D.: Flow cytometric determination of size and complex refractive index for marine particles: comparison with independent and bulk estimates, Appl. Optics, 42, 526–541, 2003.</mixed-citation>
</ref>
<ref id="ref36">
<label>36</label><mixed-citation publication-type="other" xlink:type="simple">Haardt, H. and Maske, H.: Specific in vivo absorption coefficient of chlorophyll &lt;i&gt;a&lt;/i&gt; at 675 nm, Limnol. Oceanogr., 32, 608–619, 1987.</mixed-citation>
</ref>
<ref id="ref37">
<label>37</label><mixed-citation publication-type="other" xlink:type="simple">Huot, Y., Morel, A., Twardowski, M. S., Stramski, D., and Reynolds, R. A.: Particle optical backscattering along a chlorophyll gradient in the upper layer of the eastern South Pacific Ocean, Biogeosciences, 5, 495–507, &lt;a href=&quot;http://dx.doi.org/10.5194/bg-5-495-2008&quot;&gt;https://doi.org/10.5194/bg-5-495-2008&lt;/a&gt;, 2008.</mixed-citation>
</ref>
<ref id="ref38">
<label>38</label><mixed-citation publication-type="other" xlink:type="simple">Kirk, J. T. O. and Oliver, R. L.: Optical closure in an ultraturbid lake, J. Geophys. Res., 100, 13221–13225, &lt;a href=&quot;http://dx.doi.org/10.1029/95jc00533&quot;&gt;https://doi.org/10.1029/95jc00533&lt;/a&gt;, 1995.</mixed-citation>
</ref>
<ref id="ref39">
<label>39</label><mixed-citation publication-type="other" xlink:type="simple">Kitchen, J. C. and Zaneveld, J. R. V.: A three-layered sphere model of the optical properties of phytoplankton, Limnol. Oceanogr., 37, 1680-1690, 1992.</mixed-citation>
</ref>
<ref id="ref40">
<label>40</label><mixed-citation publication-type="other" xlink:type="simple">Knight, J. C., Ball, D., and Robertson, G. N.: Analytical inversion for laser diffraction spectrometry giving improved resolution and accuracy in size distribution, Appl. Optics, 30, 4795–4799, 1991.</mixed-citation>
</ref>
<ref id="ref41">
<label>41</label><mixed-citation publication-type="other" xlink:type="simple">Kullenberg, G.: Scattering of light by Sargasso Sea water, Deep-Sea Res., 15, 423–432, 1968.</mixed-citation>
</ref>
<ref id="ref42">
<label>42</label><mixed-citation publication-type="other" xlink:type="simple">Lambert, C. E., Jehanno, C., Silverberg, N., Brun-Cottan, J. C., and Chesselet, R.: Log-normal distribution of suspended particles in the open ocean, J. Mar. Res., 39, 77–98, 1981.</mixed-citation>
</ref>
<ref id="ref43">
<label>43</label><mixed-citation publication-type="other" xlink:type="simple">Lee, M. E. and Lewis, M. R.: A New Method for the Measurement of the Optical Volume Scattering Function in the Upper Ocean, J. Atmos. Ocean Tech., 20, 563–571, 2003.</mixed-citation>
</ref>
<ref id="ref44">
<label>44</label><mixed-citation publication-type="other" xlink:type="simple">Lee, Z., Carder, K. L., and Arnone, R. A.: Deriving inherent optical properties from water color: a multiband quasi-analytical algorithm for optically deep waters, Appl. Optics, 41, 5755–5772, 2002.</mixed-citation>
</ref>
<ref id="ref45">
<label>45</label><mixed-citation publication-type="other" xlink:type="simple">Leymarie, E., Doxaran, D., and Babin, M.: Uncertainties associated to measurements of inherent optical properties in natural waters, Appl. Optics, 49, 5415–5436, 2010.</mixed-citation>
</ref>
<ref id="ref46">
<label>46</label><mixed-citation publication-type="other" xlink:type="simple">Magnuson, A., Harding Jr., L. W., Mallonee, M. E., and Adolf, J. E.: Bio-optical model for Chesapeake Bay and the Middle Atlantic Bight, Estuar. Coast. Shelf. S., 61, 403–424, &lt;a href=&quot;http://dx.doi.org/10.1016/j.ecss.2004.06.020&quot;&gt;https://doi.org/10.1016/j.ecss.2004.06.020&lt;/a&gt;, 2004.</mixed-citation>
</ref>
<ref id="ref47">
<label>47</label><mixed-citation publication-type="other" xlink:type="simple">Marshall, H. G., Burchardt, L., and Lacouture, R.: A review of phytoplankton composition within Chesapeake Bay and its tidal estuaries, J. Plankton Res., 27, 1083–1102, 10.1093/plankt/fbi079, 2005.</mixed-citation>
</ref>
<ref id="ref48">
<label>48</label><mixed-citation publication-type="other" xlink:type="simple">Martinez-Vicente, V., Dall&apos;Olmo, G., Tarran, G., Boss, E., and Sathyendranath, S.: Optical backscattering is correlated with phytoplankton carbon across the Atlantic Ocean, Geophys. Res. Lett., 40, 1–5, &lt;a href=&quot;http://dx.doi.org/10.1002/grl.50252&quot;&gt;https://doi.org/10.1002/grl.50252&lt;/a&gt;, 2013.</mixed-citation>
</ref>
<ref id="ref49">
<label>49</label><mixed-citation publication-type="other" xlink:type="simple">McKee, D., Piskozub, J., and Brown, I.: Scattering error corrections for in situ absorption and attenuation measurements, Opt. Express, 16, 19480–19492, 2008.</mixed-citation>
</ref>
<ref id="ref50">
<label>50</label><mixed-citation publication-type="other" xlink:type="simple">Meyer, R. A.: Light scattering from biological cells: Dependence of backscattering radiation on membrane thickness and refractive index, Appl. Optics, 18, 585–588, 1979.</mixed-citation>
</ref>
<ref id="ref51">
<label>51</label><mixed-citation publication-type="other" xlink:type="simple">Mishchenko, M. I., Travis, L. D., and Lacis, A. A.: Multiple Scattering of Light by Particles: Radiative Transfer and Coherent Backscattering, Cambridge University Press, Cambridge, 478 pp., 2006.</mixed-citation>
</ref>
<ref id="ref52">
<label>52</label><mixed-citation publication-type="other" xlink:type="simple">Morel, A.: The scattering of light by seawater: experimental results and theoretical approach, NATO Advisory Group for Aerospace Research and Development, No. 61, 171, 1973.</mixed-citation>
</ref>
<ref id="ref53">
<label>53</label><mixed-citation publication-type="other" xlink:type="simple">Morel, A.: Optical modeling of the upper ocean in relation to its biogenous matter content (Case I waters), J. Geophys. Res., 93, 10749–10768, 1988.</mixed-citation>
</ref>
<ref id="ref54">
<label>54</label><mixed-citation publication-type="other" xlink:type="simple">Morel, A. and Ahn, Y.-H.: Optics of heterotrophic nanoflagellates and ciliates: A tentative assessment of their scattering role in oceanic waters compared to those of bacterial and algal cells, J. Mar. Res., 49, 177–202, 1991.</mixed-citation>
</ref>
<ref id="ref55">
<label>55</label><mixed-citation publication-type="other" xlink:type="simple">Morel, A. and Bricaud, A.: Theoretical results concerning light absorption in a discrete medium and application to specific absorption of phytoplankton, Deep-Sea Res., 28, 1375–1393, 1981.</mixed-citation>
</ref>
<ref id="ref56">
<label>56</label><mixed-citation publication-type="other" xlink:type="simple">Morel, A. and Maritorena, S.: Bio-optical properties of oceanic waters: A reappraisal, J. Geophys. Res., 106, 7163–7180, 2001.</mixed-citation>
</ref>
<ref id="ref57">
<label>57</label><mixed-citation publication-type="other" xlink:type="simple">Morel, A. and Prieur, L.: Analysis of variations in ocean color, Limnol. Oceanogr., 22, 709–722, 1977.</mixed-citation>
</ref>
<ref id="ref58">
<label>58</label><mixed-citation publication-type="other" xlink:type="simple">Osborne, B. A. and Geider, R. J.: Problems in the assessment of the package effect in five small phytoplankters, Mar. Biol., 100, 151–159, 10.1007/bf00391954, 1989.</mixed-citation>
</ref>
<ref id="ref59">
<label>59</label><mixed-citation publication-type="other" xlink:type="simple">Pegau, W. S., Zaneveld, J. R. V., and Voss, K. J.: Toward closure of the inherent optical properties of natural waters, J. Geophys. Res., 100, 13193–13199, 1995.</mixed-citation>
</ref>
<ref id="ref60">
<label>60</label><mixed-citation publication-type="other" xlink:type="simple">Peng, F. and Effler, S. W.: Characterizations of individual suspended mineral particles in western Lake Erie: Implications for light scattering and water clarity, J. Great Lakes Res., 36, 686–698, &lt;a href=&quot;http://dx.doi.org/10.1016/j.jglr.2010.08.003&quot;&gt;https://doi.org/10.1016/j.jglr.2010.08.003&lt;/a&gt;, 2010.</mixed-citation>
</ref>
<ref id="ref61">
<label>61</label><mixed-citation publication-type="other" xlink:type="simple">Petzold, T. J.: Volume scattering function for selected ocean waters, Scripps Institute of Oceanography, La JollaSIO Ref. 72–78, 79, 1972.</mixed-citation>
</ref>
<ref id="ref62">
<label>62</label><mixed-citation publication-type="other" xlink:type="simple">Preisendorfer, R. W.: Hydrologic Optics: Introduction, Pacific Mar. Environ. lab/NOAA, Seattle, 218 pp., 1976.</mixed-citation>
</ref>
<ref id="ref63">
<label>63</label><mixed-citation publication-type="other" xlink:type="simple">Privoznik, K. G., Daniel, K. J., and Incropera, F. P.: Absorption, extinction and phase function measurements for algal suspensions of chlorella pyrenoidosa, J. Quant. Spectrosc. Ra., 20, 345–352, 1978.</mixed-citation>
</ref>
<ref id="ref64">
<label>64</label><mixed-citation publication-type="other" xlink:type="simple">Quirantes, A. and Bernard, S.: Light-scattering methods for modelling algal particles as a collection of coated and/or nonspherical scatterers, J. Quant. Spectrosc. Ra., 100, 315–324, &lt;a href=&quot;http://dx.doi.org/10.1016/j.jqsrt.2005.11.048&quot;&gt;https://doi.org/10.1016/j.jqsrt.2005.11.048&lt;/a&gt;, 2006.</mixed-citation>
</ref>
<ref id="ref65">
<label>65</label><mixed-citation publication-type="other" xlink:type="simple">Riley, J. B. and Agrawal, Y. C.: Sampling and inversion of data in diffraction particle sizing, Appl. Optics, 30, 4800–4817, 1991.</mixed-citation>
</ref>
<ref id="ref66">
<label>66</label><mixed-citation publication-type="other" xlink:type="simple">Sathyendranath, S., Prieur, L., and Morel, A.: A three-component model of ocean colour and its application to remote sensing of phytoplankton pigments in coastal waters, Int. J. Remote Sens., 10, 1373–1394, &lt;a href=&quot;http://dx.doi.org/10.1080/01431168908903974&quot;&gt;https://doi.org/10.1080/01431168908903974&lt;/a&gt;, 1989.</mixed-citation>
</ref>
<ref id="ref67">
<label>67</label><mixed-citation publication-type="other" xlink:type="simple">Siegel, D. A., Maritorena, S., Nelson, N. B., and Behrenfeld, M. J.: Independence and interdependencies among global ocean color properties: Reassessing the bio-optical assumption, J. Geophys. Res.-Oceans, 110, C07011, &lt;a href=&quot;http://dx.doi.org/10.1029/2004JC002527&quot;&gt;https://doi.org/10.1029/2004JC002527&lt;/a&gt;, 2005.</mixed-citation>
</ref>
<ref id="ref68">
<label>68</label><mixed-citation publication-type="other" xlink:type="simple">Slade, W. H. and Boss, E. S.: Calibrated near-forward volume scattering function obtained from the LISST particle sizer, Opt. Express, 14, 3602–3615, 2006.</mixed-citation>
</ref>
<ref id="ref69">
<label>69</label><mixed-citation publication-type="other" xlink:type="simple">Stramski, D. and Kiefer, D. A.: Light scattering by microorganisms in the open ocean, Prog. Oceanogr., 28, 343–383, 1991.</mixed-citation>
</ref>
<ref id="ref70">
<label>70</label><mixed-citation publication-type="other" xlink:type="simple">Stramski, D. and Wozniak, S. B.: On the role of colloidal particles in light scattering in the ocean, Limnol. Oceanogr., 50, 1581–1591, 2005.</mixed-citation>
</ref>
<ref id="ref71">
<label>71</label><mixed-citation publication-type="other" xlink:type="simple">Stramski, D., Bricaud, A., and Morel, A.: Modeling the inherent optical properties of the ocean based on the detailed composition of the planktonic community, Appl. Optics, 40, 2929–2945, 2001.</mixed-citation>
</ref>
<ref id="ref72">
<label>72</label><mixed-citation publication-type="other" xlink:type="simple">Stramski, D., Boss, E., Bogucki, D., and Voss, K. J.: The role of seawater constituents in light backscattering in the ocean, Prog. Oceanogr., 61, 27–56, 2004.</mixed-citation>
</ref>
<ref id="ref73">
<label>73</label><mixed-citation publication-type="other" xlink:type="simple">Sullivan, J. M., Twardowski, M. S., Donaghay, P. L., and Freeman, S. A.: Use of optical scattering to discriminate particle types in coastal waters, Appl. Optics, 44, 1667–1680, 2005.</mixed-citation>
</ref>
<ref id="ref74">
<label>74</label><mixed-citation publication-type="other" xlink:type="simple">Sullivan, J. M., Twardowski, M. S., Zaneveld, J. R. V., Moore, C. M., Barnard, A. H., Donaghay, P. L., and Rhoades, B.: Hyperspectral temperature and salt dependencies of absorption by water and heavy water in the 400–750 nm spectral range, Appl. Optics, 45, 5294–5309, 2006.</mixed-citation>
</ref>
<ref id="ref75">
<label>75</label><mixed-citation publication-type="other" xlink:type="simple">Sullivan, J. M. and Twardowski, M. S.: Angular shape of the oceanic particulate volume scattering function in the backward direction, Appl. Optics, 48, 6811–6819, 2009.</mixed-citation>
</ref>
<ref id="ref76">
<label>76</label><mixed-citation publication-type="other" xlink:type="simple">Taguchi, S.: Relationship between photosynthesis and cell size of marine diatom, J. Phycol., 12, 185–189, &lt;a href=&quot;http://dx.doi.org/10.1111/j.1529-8817.1976.tb00499.x&quot;&gt;https://doi.org/10.1111/j.1529-8817.1976.tb00499.x&lt;/a&gt;, 1976.</mixed-citation>
</ref>
<ref id="ref77">
<label>77</label><mixed-citation publication-type="other" xlink:type="simple">Twardowski, M., Zhang, X., Vagle, S., Sullivan, J., Freeman, S., Czerski, H., You, Y., Bi, L., and Kattawar, G.: The optical volume scattering function in a surf zone inverted to derive sediment and bubble particle subpopulations, J. Geophys. Res., 117, C00H17, &lt;a href=&quot;http://dx.doi.org/10.1029/2011JC007347&quot;&gt;https://doi.org/10.1029/2011JC007347&lt;/a&gt;, 2012.</mixed-citation>
</ref>
<ref id="ref78">
<label>78</label><mixed-citation publication-type="other" xlink:type="simple">Twardowski, M. S., Sullivan, J. M., Donaghay, P. L., and Zaneveld, J. R. V.: Microscale Quantification of the Absorption by Dissolved and Particulate Material in Coastal Waters with an ac-9, J. Atmos. Ocean Tech., 16, 691–707, &lt;a href=&quot;http://dx.doi.org/10.1175/1520-0426(1999)016&lt;0691:MQOTAB&lt;2.0.CO;2&quot;&gt;https://doi.org/10.1175/1520-0426(1999)016&lt;0691:MQOTAB&lt;2.0.CO;2&lt;/a&gt;, 1999.</mixed-citation>
</ref>
<ref id="ref79">
<label>79</label><mixed-citation publication-type="other" xlink:type="simple">Twardowski, M. S., Boss, E., Macdonald, J. B., Pegau, W. S., Barnard, A. H., and Zaneveld, J. R. V.: A model for estimating bulk refractive index from the optical backscattering ratio and the implications for understanding particle composition in case I and case II waters, J. Geophys. Res., 106, 14129–14142, 2001.</mixed-citation>
</ref>
<ref id="ref80">
<label>80</label><mixed-citation publication-type="other" xlink:type="simple">Twardowski, M. S., Claustre, H., Freeman, S. A., Stramski, D., and Huot, Y.: Optical backscattering properties of the &quot;clearest&quot; natural waters, Biogeosciences, 4, 1041–1058, &lt;a href=&quot;http://dx.doi.org/10.5194/bg-4-1041-2007&quot;&gt;https://doi.org/10.5194/bg-4-1041-2007&lt;/a&gt;, 2007.</mixed-citation>
</ref>
<ref id="ref81">
<label>81</label><mixed-citation publication-type="other" xlink:type="simple">Twomey, S.: Introduction to the mathematics of inversion in remote sensing and indirect measurements, Developments in Geomathematics, Elsevier Scientific Publishing Company, Amsterdam, 243 pp., 1977.</mixed-citation>
</ref>
<ref id="ref82">
<label>82</label><mixed-citation publication-type="other" xlink:type="simple">Ulloa, O., Sathyendranath, S., and Platt, T.: Effect of the particle-size distribution on the backscattering ratio in seawater, Appl. Optics, 33, 7070–7077, 1994.</mixed-citation>
</ref>
<ref id="ref83">
<label>83</label><mixed-citation publication-type="other" xlink:type="simple">Vaillancourt, R. D. and Balch, W. M.: Size distribution of marine submicron particles determined by flow field-flow fractionation, Limnol. Oceanogr., 45, 485–492, 2000.</mixed-citation>
</ref>
<ref id="ref84">
<label>84</label><mixed-citation publication-type="other" xlink:type="simple">van de Hulst, H. C.: Light Scattering by Small Particles, Dover Publications, Inc., New York, 1981.</mixed-citation>
</ref>
<ref id="ref85">
<label>85</label><mixed-citation publication-type="other" xlink:type="simple">Van Heukelem, L. and Thomas, C. S.: Computer-assisted high-performance liquid chromatography method development with applications to the isolation and analysis of phytoplankton pigments, J. Chromatogr. A, 910, 31–49, &lt;a href=&quot;http://dx.doi.org/10.1016/S0378-4347(00)00603-4&quot;&gt;https://doi.org/10.1016/S0378-4347(00)00603-4&lt;/a&gt;, 2001.</mixed-citation>
</ref>
<ref id="ref86">
<label>86</label><mixed-citation publication-type="other" xlink:type="simple">Westberry, T. K., Dall&apos;Olmo, G., Boss, E., Behrenfeld, M. J., and Moutin, T.: Coherence of particulate beam attenuation and backscattering coefficients in diverse open ocean environments, Opt. Express, 18, 15419–15425, 2010.</mixed-citation>
</ref>
<ref id="ref87">
<label>87</label><mixed-citation publication-type="other" xlink:type="simple">Whitmire, A. L., Pegau, W. S., Karp-Boss, L., Boss, E., and Cowles, T. J.: Spectral backscattering properties of marine phytoplankton cultures, Opt. Express, 18, 15073–15093, 2010.</mixed-citation>
</ref>
<ref id="ref88">
<label>88</label><mixed-citation publication-type="other" xlink:type="simple">Wozniak, B. and Dera, J.: Light Absorption in Sea Water, Atmospheric and Oceanographic Sciences Library, edited by: Mysak, L. A. and Hamilton, K., Springer, New York, 452 pp., 2007.</mixed-citation>
</ref>
<ref id="ref89">
<label>89</label><mixed-citation publication-type="other" xlink:type="simple">Yentsch, C. S.: Measurement of visible light absorption by particulate matter in the ocean, Limnol. Oceanogr., 7, 207–217, 1962.</mixed-citation>
</ref>
<ref id="ref90">
<label>90</label><mixed-citation publication-type="other" xlink:type="simple">Zaneveld, J. R. V.: Optical Closure: From theory to measurement, in: Ocean Optics, edited by: Spinrad, R. W., Carder, K. L., and Perry, M. J., Oxford University Press, New York, 59–73, 1994.</mixed-citation>
</ref>
<ref id="ref91">
<label>91</label><mixed-citation publication-type="other" xlink:type="simple">Zaneveld, J. R. V., Roach, D. M., and Pak, H.: The determination of the index of refraction distribution of oceanic particulates, J. Geophys. Res., 79, 4091–4095, 1974.</mixed-citation>
</ref>
<ref id="ref92">
<label>92</label><mixed-citation publication-type="other" xlink:type="simple">Zaneveld, J. R. V., Kitchen, J. C., and Moore, C.: The scattering error correction of reflecting-tube absorption meters, SPIE Ocean Optics XII, 2258, 44–55, 1994.</mixed-citation>
</ref>
<ref id="ref93">
<label>93</label><mixed-citation publication-type="other" xlink:type="simple">Zhang, X., Lewis, M. R., and Johnson, B. D.: Influence of bubbles on scattering of light in the ocean, Appl. Optics, 37, 6525–6536, 1998.</mixed-citation>
</ref>
<ref id="ref94">
<label>94</label><mixed-citation publication-type="other" xlink:type="simple">Zhang, X., Hu, L., and He, M.-X.: Scattering by pure seawater: Effect of salinity, Opt. Express, 17, 5698–5710, 2009.</mixed-citation>
</ref>
<ref id="ref95">
<label>95</label><mixed-citation publication-type="other" xlink:type="simple">Zhang, X., Twardowski, M., and Lewis, M.: Retrieving composition and sizes of oceanic particle subpopulations from the volume scattering function, Appl. Optics, 50, 1240–1259, 2011.</mixed-citation>
</ref>
<ref id="ref96">
<label>96</label><mixed-citation publication-type="other" xlink:type="simple">Zhang, X., Gray, D., Huot, Y., You, Y., and Bi, L.: Comparison of optically derived particle size distributions: scattering over the full angular range versus diffraction at near forward angles, Appl. Optics, 51, 5085–5099, 2012.</mixed-citation>
</ref>
</ref-list>
</back>
</article>