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	<journal>
		<journal_title>Biogeosciences</journal_title>
		<journal_url>www.biogeosciences.net</journal_url>
		<issn>1726-4170</issn>
		<eissn>1726-4189</eissn>
		<volume_number>4</volume_number>
		<issue_number>3</issue_number>
		<publication_year>2007</publication_year>
	</journal>
	<doi>10.5194/bg-4-331-2007</doi>
	<article_url>http://www.biogeosciences.net/4/331/2007/</article_url>
	<abstract_html>http://www.biogeosciences.net/4/331/2007/bg-4-331-2007.html</abstract_html>
	<fulltext_pdf>http://www.biogeosciences.net/4/331/2007/bg-4-331-2007.pdf</fulltext_pdf>
	<start_page>331</start_page>
	<end_page>352</end_page>
	<publication_date>2007-06-19</publication_date>
	<article_title content_type="html">A model for the benthic-pelagic coupling of silica in estuarine ecosystems: sensitivity analysis and system scale simulation</article_title>
	<authors>
		<author numeration="1" affiliations="1">
			<name>S. Arndt</name>
			<email>s.arndt@geo.uu.nl</email>
		</author>
		<author numeration="2" affiliations="1">
			<name>P. Regnier</name>
		</author>
	</authors>
	<affiliations>
		<affiliation numeration="1" content_type="html">Department of Earth Sciences, University of Utrecht, Utrecht, The Netherlands</affiliation>
	</affiliations>
	<abstract content_type="html">A transient, vertically resolved, analytical model for the early
diagenesis of silica has been developed to quantify the importance
of benthic-pelagic coupling in estuarine biogeochemical silica
cycling. A sensitivity analysis based on Monte-Carlo simulations is
carried out to assess the intensity and timing of benthic diffusive
fluxes in response to a pelagic diatom bloom. The diffusive flux
dynamics are analyzed over a realistic range of dissolution rate
constants (max &lt;i&gt;k&lt;/i&gt;&lt;sub&gt;Si&lt;/sub&gt; &amp;epsilon; [6&amp;times;10&lt;sup&gt;&amp;minus;3&lt;/sup&gt;&amp;ndash;3.6&amp;times;10&lt;sup&gt;&amp;minus;1&lt;/sup&gt; d&lt;sup&gt;&amp;minus;1&lt;/sup&gt;]), diffusion coefficients of dissolved silica
(&lt;i&gt;D&lt;/i&gt;&lt;sub&gt;Si&lt;/sub&gt; &amp;epsilon; [35&amp;times;10&lt;sup&gt;&amp;minus;6&lt;/sup&gt;&amp;ndash;35&amp;times;10&lt;sup&gt;&amp;minus;5&lt;/sup&gt; m&lt;sup&gt;2&lt;/sup&gt; d&lt;sup&gt;&amp;minus;1&lt;/sup&gt;]) and duration of dissolved silica depletion in the water
column (&lt;i&gt;w&lt;/i&gt;&lt;sub&gt;PDSI&lt;/sub&gt; &amp;epsilon; [1&amp;ndash;3 month]). Results show that the
diffusive silica flux responds with a time delay of 20 to 120 days
to the biogenic silica deposition pulse. For high max &lt;i&gt;k&lt;/i&gt;&lt;sub&gt;Si&lt;/sub&gt;,
simulated time lags are shortest and completely determined by the
dissolution kinetics. However, decreasing max &lt;i&gt;k&lt;/i&gt;&lt;sub&gt;Si&lt;/sub&gt; leads to a
slower benthic flux response. In addition, the variability increases
due to the increasing importance of transport processes. The
sensitivity study also allows us to constrain the uncertainties of a
system-scale simulation, where a large number of benthic
compartments (&amp;gt;50 000) are coupled to a high-resolution (100&amp;times;100 m)
pelagic model of a macrotidal river and estuary (Western Scheldt,
B/NL). The model is applied to a diatom bloom event recorded in
2003, characterized by pelagic silica depletion in August. Benthic
processes are mainly modulated by the combined influence of local
hydrodynamic conditions and pelagic primary production dynamics, and
show therefore a high degree of spatial heterogeneity over short
distances. Spatially integrated deposition fluxes and dissolution
rates of biogenic silica are high throughout the growth period, with
maxima of 1.3&amp;times;10&lt;sup&gt;5&lt;/sup&gt; mol d&lt;sup&gt;&amp;minus;1&lt;/sup&gt; (=8.0 mmol m&lt;sup&gt;2&lt;/sup&gt; d&lt;sup&gt;&amp;minus;1&lt;/sup&gt;)
and 7.8&amp;times;10&lt;sup&gt;4&lt;/sup&gt; mol d&lt;sup&gt;&amp;minus;1&lt;/sup&gt; (=4.8 mmol m&lt;sup&gt;2&lt;/sup&gt; d&lt;sup&gt;&amp;minus;1&lt;/sup&gt;) in mid-August. The spatially integrated diffusive
flux reaches a maximum of 1.5&amp;times;10&lt;sup&gt;4&lt;/sup&gt; mol d&lt;sup&gt;&amp;minus;1&lt;/sup&gt; at the
end of a pelagic silica depletion period in September. However, the
total amount of dissolved silica released from the estuarine
sediments between June and December 2003 is small (2&amp;times;10&lt;sup&gt;6&lt;/sup&gt; mol) compared to the much higher riverine influx of dissolved
silica (5.9&amp;times;10&lt;sup&gt;7&lt;/sup&gt; mol) and plays a minor role in the
pelagic primary production dynamics.</abstract>
	<references>
		<reference numeration="1" content_type="text"> Abramowitz, M. and Stegun, I A.: Handbook of mathematical functions, 9th Edition, Dover Publications, New York, 1972. </reference>
		<reference numeration="2" content_type="text"> Abril, G., Riou, S A., and Etcheber, H.: Transient, tidal time-scale, nitrogen transformations in an estuarine turbidity maximum-fluid mud system (the Gironde, South-West France), Estuarine, Coast. Shelf Sci., 50, 703&amp;ndash;715, 2000. </reference>
		<reference numeration="3" content_type="text"> Ariathurai, C R.: Finite element model for sediment transport in estuaries, Phd thesis, University of California, 1974. </reference>
		<reference numeration="4" content_type="text"> Arndt, S., Vanderborght, J.-P., and Regnier, P.: Diatom growth response to physical forcing in a macrotidal estuary: Coupling hydrodynamics, sediment transport, and biogeochemistry, J. Geophys. Res., 112, C05045, doi:10.1029/2006JC003581, 2007. </reference>
		<reference numeration="5" content_type="text"> Baeyens, W., Van~Eck, B., Lambert, C., Wollast, R., and Goyens, L.: General description of the Scheldt, Hydrobiologia, 366, 1&amp;ndash;14, 1998. </reference>
		<reference numeration="6" content_type="text"> Baird, M.: Csiro simple estuarine response model technical description of the ecological model, Tech. rep., CSIRO Marine Research, 2001. </reference>
		<reference numeration="7" content_type="text"> Berner, R A.: Early Diagenesis: A theoretical approach, Princeton University Press, Princeton, 1980. </reference>
		<reference numeration="8" content_type="text"> Blackford, J.: An analysis of benthic biological dynamics in a North Sea ecosystem model, J. Sea Res., 38, 213&amp;ndash;230, 1997. </reference>
		<reference numeration="9" content_type="text"> Chen, M S., Wartel, S., Van~Eck, B., and Van~Maldegem, D C.: Suspended matter in the Scheldt estuary, Hydrobiologia, 540, 79&amp;ndash;104, 2005. </reference>
		<reference numeration="10" content_type="text"> Chou, L. and Wollast, R.: Estuarine silicon dynamics, in: The Silicon Cycle: Human Perturbations and Impacts on Aquatic Systems, edited by: Ittekkot, D., Unger, C., Humborg, C., and Tac~An, N., Vol Scope 66, Island Press, Washington, Covelo, London, pp 93&amp;ndash;120, 2006. </reference>
		<reference numeration="11" content_type="text"> Conley, D J., Smith, W M., Cornwell, J C.: Transformation of particle-bound phosphorus at the land sea interface. Estuarine, Coast. Shelf Sci., 40, 161&amp;ndash;176, 1995. </reference>
		<reference numeration="12" content_type="text"> Cowan, J L. and Boynton, W R.: Sediment-water oxygen and nutrient exchange along the longitudinal axis of Chesapeake Bay: Seasonal patterns, controlling factors and ecological significance, Estuaries 19, 562&amp;ndash;580, 1996. </reference>
		<reference numeration="13" content_type="text"> Desmit, X., Vanderborght, J P., Regnier, P., and Wollast, R.: Control of primary production by physical forcing in a strongly tidal, well-mixed estuary, Biogeosciences, 2, 205&amp;ndash;218, 2005. </reference>
		<reference numeration="14" content_type="text"> Desmet, X.: Etude et modélisation de la production phytoplanctonique dans l&apos;estuaire de l&apos;Escaut, Phd thesis, Université Libre de Bruxelles, 2005. </reference>
		<reference numeration="15" content_type="text"> Dettman, E H.: Effect of water residence time on annual export and denitrification in estuaries: A model analysis, Estuaries 24, 481&amp;ndash;490, 2001. </reference>
		<reference numeration="16" content_type="text"> Domingues, R B., Barbosa, A., and Galvao, H.: Nutrients, light and phytoplankton succesion in a temperate estuary (the Guadiana, South-Western Iberia). Estuarine, Coast. Shelf Sci., 64, 249&amp;ndash;260, 2005. </reference>
		<reference numeration="17" content_type="text"> Ebenhöh, W., Kohlmeier, C., Radford, P J.: The benthic biological submodel in the european regional seas ecosystem model, Neth. J. Sea Res., 33, 423&amp;ndash;452, 1995. </reference>
		<reference numeration="18" content_type="text"> Einstein, H B. and Krone, R B.: Experiments to determine modes of cohesive sediment transport in salt water, J. Geophys. Res., 67(4), 1451&amp;ndash;1461, 1962. </reference>
		<reference numeration="19" content_type="text"> Ekebjaerg, L. and Justesen, P.: An explicit scheme for advection-diffusion modelling in two dimensions, Comput. Methods Appl. Mech. Eng., 88, 3&amp;ndash;8, 1991. </reference>
		<reference numeration="20" content_type="text"> Fennel, K., Wilkin, J., Levin, J., Moisan, J., O&apos;Reilly, J., and Haidvogel, D.: Nitrogen cycling in the middle Atlantic bight: Results from a three-dimensional model and implications for the North Atlantic nitrogen budget, Global Biogeochem. Cy., GB3007, doi:10.1029/2005GB002456, 2005. </reference>
		<reference numeration="21" content_type="text"> Garnier, J., Billen, G., Coste, M.: Seasonal succession of diatoms and chlorophyceae in the drainage network of the Seine river: Observations and modeling, Limnol. Oceanogr., 40, 750&amp;ndash;765, 1995. </reference>
		<reference numeration="22" content_type="text"> Grenz, C., Cloern, J E., Hager, S W., and Cole, B E.: Dynamics of nutrient cycling and related benthic nutrient and oxygen fluxes during a spring phytoplankton bloom in south San Francisco Bay (USA), Marine Ecology Progress Series 197, 67&amp;ndash;80, 2000. </reference>
		<reference numeration="23" content_type="text"> Hall, P. O J., Hulth, S., Hulthe, G., Landen, A., Tengberg, A.: Benthic nutrient fluxes on a basin-wide sclae in the Skagerrak (north-eastern North Sea), J. Sea Res., 35, 123&amp;ndash;137, 1996. </reference>
		<reference numeration="24" content_type="text"> Hansen, L S. and Blackburn, T H.: Effect of algal bloom deposition on sediment respiration and fluxes, Mar. Biol., 112, 147&amp;ndash;152, 1992. </reference>
		<reference numeration="25" content_type="text"> Hurd, D C.: Interactions of biogenic opal, sediment and seawater in the Central Equatorial Pacific, Geochimica et Cosmochimica Acta, 37, 2257&amp;ndash;2282, 1973. </reference>
		<reference numeration="26" content_type="text"> Icenhower, J P. and Dove, P M.: The dissolution kinetics of amorphous silica into sodium chloride solutions: Effects of temperature and ionic strength, Geochimica et Cosmochimica Acta, 64, 4193&amp;ndash;4203, 2000. </reference>
		<reference numeration="27" content_type="text"> Jeuken, M. C. J L.: On the behaviour of tidal channels in the Westerschelde estuary, Phd thesis, Utrecht University, 2000. </reference>
		<reference numeration="28" content_type="text"> Koop, K., Boynton, W R., Wulff, F., and Carman, R.: Sediment-water oxygen and nutrient exchange along a depth gradient in the Baltic Sea, Marine Ecology Progress Series, 63, 65&amp;ndash;77, 1990. </reference>
		<reference numeration="29" content_type="text"> Lancelot, C., Spitz, Y., and Gypens, N.: Modelling diatom and phaeocystis blooms and nutrient cycles in the southern bight of the North Sea: The MIRO model, Marine Ecology Progress Series, 289, 63&amp;ndash;78, 2005. </reference>
		<reference numeration="30" content_type="text"> Lee, J.-Y., Tett, P., Jones, K., Jones, S., Luyten, P., Smith, C., and Wild-Allen, K.: The PROWQM physical-biological model with benthic-pelagic coupling applied to the northern North Sea, J. Sea Res., 48, 287&amp;ndash;331, 2002. </reference>
		<reference numeration="31" content_type="text"> Li, Y H. and Gregory, S.: Diffusion of ions in sea-water and deep-sea sediments, Geochimica et Cosmochimica Acta, 38, 703&amp;ndash;714, 1974. </reference>
		<reference numeration="32" content_type="text"> Luff, R. and Moll, A.: Seasonal dynamics of the North Sea sediments using a three-dimensional coupled sediment-water model system, Cont. Shelf Res., 24, 1099&amp;ndash;1127, 2004. </reference>
		<reference numeration="33" content_type="text"> Malone, T C., Conley, D J., Fisher, T. R J., Gilbert, P M., and Harding, L W.: Scales of nutrient-limited phytoplankton productivity in Chesapeake Bay, Estuaries, 19, 371&amp;ndash;385, 1996. </reference>
		<reference numeration="34" content_type="text"> McKee, L J., Eyre, B D., and Hossain, S.: Transport and retention of nitrogen and phosphorus in the sub-tropical Richmond river estuary, Biogeochemistry, 50, 241&amp;ndash;278, 2000. </reference>
		<reference numeration="35" content_type="text"> Meire, P., Ysebaert, T., Van~Damme, S., Van~den Bergh, E., Maris, T., and Struyf, E.: The Scheldt estuary: A description of a changing ecosystem, Hydrobiologia, 540, 1&amp;ndash;11, 2005. </reference>
		<reference numeration="36" content_type="text"> Muylaert, K., Tackx, M L., and Vyeverman, W.: Phytoplankton growth rates in the freshwater tidel reaches of the Schelde estuary (Belgium) estimated using a simple light-limited primary production model, Hydrobiologia, 540, 127&amp;ndash;140, 2005. </reference>
		<reference numeration="37" content_type="text"> Muylaert, K., Sabbe, K., and Vyeverman, W.: Spatial and temporal dynamics of phytoplankton communities in a freshwater tidal estuary (Schelde, Belgium), Estuarine and Coastal Shelf Sciences, 50, 673&amp;ndash;687, 2000. </reference>
		<reference numeration="38" content_type="text"> Partheniades, E.: A study of erosion and deposition of cohesive soils in salt water, Ph.D. thesis, University of California, 1962. </reference>
		<reference numeration="39" content_type="text"> Press, W H., Teukolsky, S A., Vetterling, W T., Flannery, B P.: Numerical Recipies in C: The Art of Scientific Programming, Cambridge University Press, England, 1992. </reference>
		<reference numeration="40" content_type="text"> Regnier, P., Wollast, R., and Steefel, C I.: Long-term fluxes of reactive species in macrotidal estuaries: Estimates from a fully transient, multicomponent reaction-transport model, Mar. Chem., 58, 127&amp;ndash;145, 1997. </reference>
		<reference numeration="41" content_type="text"> Rousseau, V., Leynaert, A., Daoud, N., Lancelot, C.: Diatom succession, silification and silicic acid availability in Belgian coastal waters (southern North Sea), Marine Ecology Progress Series, 236, 61&amp;ndash;73, 2002. </reference>
		<reference numeration="42" content_type="text"> Ruardij, P. and Van~Raaphorst, W.: Benhtic nutrient regeneration in the ERSEM ecosystem model of the North Sea, Neth. J. Sea Res., 33, 453&amp;ndash;483, 1995. </reference>
		<reference numeration="43" content_type="text"> Sakamaki, T., Nishimura, O., and Sudo, R.: Tidal time-scale variation in nutrient flux across the sedimeny-water interface of an estuarine tidal flat, Estuarine, Coastal and Shelf Science, 67, 653&amp;ndash;663, 2006. </reference>
		<reference numeration="44" content_type="text"> Schink, D R., Guinasso, N L., and Fanning, K A.: Processes affecting the concentration of silica at the sediment-water interface in the Atlantic Ocean, Geophys. Res., 80, 3013&amp;ndash;3031, 1975. </reference>
		<reference numeration="45" content_type="text"> Struyf, E., Van Damme, S., Gribsholt, B., and Meire, P.: Freshwater marshes as dissolved silica recyclers in an estuarine environment (Schelde estuary, Belgium), Hydrobiologia, 540, 69&amp;ndash;77, 2005. </reference>
		<reference numeration="46" content_type="text"> Soetaert, K. and Herman, P.: Nitrogen dynamics in the Westerschelde estuary (SW netherlands estimated by means of the ecosystem model MOSES, Hydrobiologia, 311, 225&amp;ndash;246, 1995. </reference>
		<reference numeration="47" content_type="text"> Soetaert, K. and Herman, P. M J.: Carbon flows in the Westerschelde estuary (The Netherlands) evaluated by means of an ecosystem model (MOSES), Hydrobiologia, 311, 247&amp;ndash;266, 1995a. </reference>
		<reference numeration="48" content_type="text"> Soetaert, K. and Herman, P. M J.: Estimating estuarine residence times in the Westerschelde (The Netherlands) using a box model with fixed dispersion coefficients, Hydrobiologia, 311, 215&amp;ndash;224, 1995b. </reference>
		<reference numeration="49" content_type="text"> Townsend, D W., Pettigrw, N R., Thomas, A C.: Offshore blloms of the red tide dinoflagellate, alexandrium sp., in the Gulf of Maine, Cont. Shelf Res., 21, 347&amp;ndash;369, 2001. </reference>
		<reference numeration="50" content_type="text"> Trimmer, M., Nedwell, D B., Sivyer, D B., and Malcolm, S J.: Nitrogen fluxes through the lower estuary of the river Great Ouse, England: The role of the bottom sediments, Marine Ecology Progress Series, 163, 109&amp;ndash;124, 1998. </reference>
		<reference numeration="51" content_type="text"> Tuominen, L., Kairesalo, T., Hartikainen, H., and LTallberg, P.: Nutrient fluxes and microbial activity in sediment enriched with settled seston. Hydrobiologia, 335, 19&amp;ndash;31, 1996. </reference>
		<reference numeration="52" content_type="text"> Uncles, R J., Wood, R G., and Stephens, J A: Estuarine nutrient fluxes to the Humber coastal zone, UK, during June 1995, Mar. Poll. Bull., 37, 3&amp;ndash;7., 1998. </reference>
		<reference numeration="53" content_type="text"> Van~Cappellen, P. and Qiu, L.: Biogenic silica dissolution in sediments of the Southern Ocean. II. Kinetics, Deep-Sea Res. II, 44, 1129&amp;ndash;1149, 1997. </reference>
		<reference numeration="54" content_type="text"> Van~Damme, S., Struyf, E., Maris, T., Ysebaert, T., Dehairs, F., Tackx, M., Heip, C., and Meire, P.: Spatial and temporal patterns of water quality along the estuarine salinity gradient of the Scheldt estuary (Belgium and The Netherlands): results of an integrated monitoring approach, Hydrobiologia, 540, 29&amp;ndash;45, 2005. </reference>
		<reference numeration="55" content_type="text"> Vanderborght, J P., Folmer, I., Aguilera, D R., Uhrenholdt, T., Regnier, P.: Reactive-transport modelling of C, N and $O_2$ in a river-estuarine-coastal zone system: Application to the Scheldt estuary, Mar. Chem., in press, 2006. </reference>
		<reference numeration="56" content_type="text"> Vidal, M. and Morgui, J.-A.: Close and delayed benthic-pelagic coupling in coastal ecosystems: The role of physical constraints, Hydrobiologia, 429, 105&amp;ndash;113, 2000. </reference>
		<reference numeration="57" content_type="text"> Villars, M T. and Vos, R J.: Restwes: Remote sensing as a tool for integrated monitoring of the Western Scheldt, Tech. rep., WL Delft Hydraulics report Z2472, 1999. </reference>
		<reference numeration="58" content_type="text"> Winterwerp, J C., Wang, Z B., Stive, M. J F., Arends, A., Jeuken, C., Kuijper, C., and Thoolen, P. M C.: A new morphological schematization of the Western Scheldt estuary, The Netherlands. In: Proceedings 2nd IAHR Symposium on River, Coastal and Estuarine Morphodynamics, Obihiro, Japan, pp 525&amp;ndash;534, 2001. </reference>
		<reference numeration="59" content_type="text"> Wirtz, K W.: Modellierung von Anpassungsvorgängen in der belebten Natur, Phd thesis, Universität Kassel, 1997. </reference>
		<reference numeration="60" content_type="text"> Wirtz, K W. and Eckhardt, B.: Effective variables in ecosystem models with an application to phytoplankton succesion, Ecol. Model., 92, 33&amp;ndash;53, 1996. </reference>
		<reference numeration="61" content_type="text"> Wollast, R. and Mackenzie, F T.: Global cycle of silica, in: Silicon geochemistry and biogeochemistry, edited by: Aston, S R., Academic Press, New York, pp 39&amp;ndash;76, 1983. </reference>
	</references>
</article>

