<?xml version="1.0" encoding="utf-8" standalone="no"?>
<!DOCTYPE article SYSTEM "http://www.nonlin-processes-geophys.net/inc/npg/copernicus.dtd">
<article language="en">
	<journal>
		<journal_title>Nonlinear Processes  in Geophysics</journal_title>
		<journal_url>www.nonlin-processes-geophys.net</journal_url>
		<issn>1023-5809</issn>
		<eissn>1607-7946</eissn>
		<volume_number>17</volume_number>
		<issue_number>5</issue_number>
		<publication_year>2010</publication_year>
	</journal>
	<doi>10.5194/npg-17-395-2010</doi>
	<article_url>http://www.nonlin-processes-geophys.net/17/395/2010/</article_url>
	<abstract_html>http://www.nonlin-processes-geophys.net/17/395/2010/npg-17-395-2010.html</abstract_html>
	<fulltext_pdf>http://www.nonlin-processes-geophys.net/17/395/2010/npg-17-395-2010.pdf</fulltext_pdf>
	<start_page>395</start_page>
	<end_page>404</end_page>
	<publication_date>2010-09-02</publication_date>
	<article_title content_type="html">The use of artificial neural networks to analyze and predict alongshore sediment transport</article_title>
	<authors>
		<author numeration="1" affiliations="1,2">
			<name>B. van Maanen</name>
			<email>b.vanmaanen@niwa.co.nz</email>
		</author>
		<author numeration="2" affiliations="1">
			<name>G. Coco</name>
		</author>
		<author numeration="3" affiliations="2">
			<name>K. R. Bryan</name>
		</author>
		<author numeration="4" affiliations="3">
			<name>B. G. Ruessink</name>
		</author>
	</authors>
	<affiliations>
		<affiliation numeration="1" content_type="html">National Institute of Water and Atmospheric Research (NIWA), P.O. Box 11-115, Hamilton, New Zealand</affiliation>
		<affiliation numeration="2" content_type="html">Department of Earth and Ocean Sciences, University of Waikato, Private Bag 3105, Hamilton, New Zealand</affiliation>
		<affiliation numeration="3" content_type="html">Department of Physical Geography, Faculty of Geosciences, Institute for Marine and Atmospheric Research, Utrecht University, The Netherlands</affiliation>
	</affiliations>
	<abstract content_type="html">An artificial neural network (ANN) was developed to predict the
depth-integrated alongshore suspended sediment transport rate using 4 input
variables (water depth, wave height and period, and alongshore velocity).
The ANN was trained and validated using a dataset obtained on the intertidal
beach of Egmond aan Zee, the Netherlands. Root-mean-square deviation between
observations and predictions was calculated to show that, for this specific
dataset, the ANN (&amp;epsilon;&lt;sub&gt;rms&lt;/sub&gt;=0.43) outperforms the commonly used
Bailard (1981) formula (&amp;epsilon;&lt;sub&gt;rms&lt;/sub&gt;=1.63), even when this formula
is calibrated (&amp;epsilon;&lt;sub&gt;rms&lt;/sub&gt;=0.66). Because of correlations between
input variables, the predictive quality of the ANN can be improved further
by considering only 3 out of the 4 available input variables (&amp;epsilon;&lt;sub&gt;rms&lt;/sub&gt;=0.39). Finally, we use the partial derivatives method to &quot;open
and lighten&quot; the generated ANNs with the purpose of showing that, although
specific to the dataset in question, they are not &quot;black-box&quot; type models
and can be used to analyze the physical processes associated with alongshore
sediment transport. In this case, the alongshore component of the velocity,
by itself or in combination with other input variables, has the largest
explanatory power. Moreover, the behaviour of the ANN indicates that
predictions can be unphysical and therefore unreliable when the input lies
outside the parameter space over which the ANN has been developed. Our
approach of combining the strong predictive power of ANNs with
&quot;lightening&quot; the black box and testing its sensitivity, demonstrates that
the use of an ANN approach can result in the development of generalized
models of suspended sediment transport.</abstract>
	<references>
		<reference numeration="1" content_type="text"> Bailard, J. A.: An energetics total load sediment transport model for a plane sloping beach, J. Geophys. Res., 86, 10938–10954, 1981. </reference>
		<reference numeration="2" content_type="text"> Bayram, A., Larson, M., Miller, H. C., and Kraus, N. C.: Cross-shore distribution of longshore sediment transport: comparison between predictive formulas and field measurements, Coast. Eng., 44, 79–99, 2001. </reference>
		<reference numeration="3" content_type="text"> Benítez, J. M., Castro, J. L., and Requena, I.: Are artifical neural networks black boxes?, IEEE Transactions on Neural Networks, 8, 1156–1164, 1997. </reference>
		<reference numeration="4" content_type="text"> Browne, M., Castelle, B., Strauss, D., Tomlinson, R., Blumenstein, M., and Lane, C.: Near-shore swell estimation from a global wind-wave model: Spectral process, linear and artificial neural network models, Coast. Eng., 54, 445–460, 2007. </reference>
		<reference numeration="5" content_type="text"> Burnham, K. P. and Anderson, D. R.: Model Selection and Multimodel Inference: A Practical Information-Theoretic Approach, Springer, New York, NY, 488 pp., 2002. </reference>
		<reference numeration="6" content_type="text"> Dayhoff, J. E. and DeLeo, J. M.: Artificial neural networks: Opening the black box, Cancer, 91, 1615–1635, 2001. </reference>
		<reference numeration="7" content_type="text"> Dimopoulos, I., Bourret, P., and Lek, S.: Use of some sensitivity criteria for choosing networks with good generalization ability, Neural Process. Lett., 2, 1–4, 1995. </reference>
		<reference numeration="8" content_type="text"> Dimopoulos, I., Chronopoulos, J., Chronopoulos-Sereli, A., and Lek, S.: Neural network models to study relationships between lead concentration in grasses and permanent urban descriptors in Athens city (Greece), Ecol. Model., 120, 157–165, 1999. </reference>
		<reference numeration="9" content_type="text"> Faraway, J. and Chatfield, C.: Time series forecasting with neural networks: a comparative study using the airline data, Appl. Statistics, 47, 231–250, 1998. </reference>
		<reference numeration="10" content_type="text"> Gardner, M. W. and Dorling, S. R.: Artificial neural networks (the multilayer perceptron) – a review of applications in the atmospheric sciences, Atmos. Environ., 32, 2627–2636, 1998. </reference>
		<reference numeration="11" content_type="text"> Gevrey, M., Dimopoulos, I., and Lek, S.: Review and comparison of methods to study the contribution of variables in artificial neural network models, Ecol. Model., 160, 249–264, 2003. </reference>
		<reference numeration="12" content_type="text"> Gevrey, M., Dimopoulos, I., and Lek, S.: Two-way interaction of input variables in the sensitivity analysis of neural network models, Ecol. Model., 195, 43–50, 2006. </reference>
		<reference numeration="13" content_type="text"> Green, M. O. and Boon, J. D.: The measurement of constituent concentration in nonhomogeneous sediment suspensions using optical backscatter sensors, Mar. Geol., 110, 73–81, 1993. </reference>
		<reference numeration="14" content_type="text"> Kingston, K. S., Ruessink, B. G., van Enckevort, I. M. J., and Davidson, M. A.: Artificial neural network correction of remotely sensed sandbar location, Mar. Geol., 169, 137–160, 2000. </reference>
		<reference numeration="15" content_type="text"> Kolen, J. F. and Pollack, J. B.: Back propagation is sensitive to initial conditions, Complex Systems, 4, 269–280, 1990. </reference>
		<reference numeration="16" content_type="text"> Krasnopolsky, V. M.: Neural network emulations for complex multidimensional geophysical mappings: Applications of neural network techniques to atmospheric and oceanic satellite retrievals and numerical modeling, Rev. Geophys., 45, RG3009, doi:10.1029/2006RG000200, 2007. </reference>
		<reference numeration="17" content_type="text"> Lin, B. and Namin, M. M.: Modelling suspended sediment transport using an integrated numerical and ANNs model, J. Hydraul. Res., 43, 302–310, 2005. </reference>
		<reference numeration="18" content_type="text"> McCann, D. W.: A neural network short-term forecast of significant thunderstorms, Forecasting Techniques, 7, 525–534, 1992. </reference>
		<reference numeration="19" content_type="text"> Nagy, H. M., Watanabe, K., and Hirano, M.: Prediction of sediment load concentration in rivers using artificial neural network model, J. Hydraulic Eng., 128, 588–595, 2002. </reference>
		<reference numeration="20" content_type="text"> Olden, J. D.: An artificial neural network approach for studying phytoplankton succession, Hydrobiologia, 436, 131–143, 2000. </reference>
		<reference numeration="21" content_type="text"> Olden, J. D. and Jackson, D. A.: Illuminating the &quot;black box&quot;: a randomization approach for understanding contributions in artificial neural networks, Ecol. Model., 154, 135–150 2002. </reference>
		<reference numeration="22" content_type="text"> Olden, J. D., Joy, M. K., and Death, R. G.: An accurate comparison of methods for quantifying variable importance in artificial neural networks using simulated data, Ecol. Model., 178, 389–397, 2004. </reference>
		<reference numeration="23" content_type="text"> Pape, L., Ruessink, B. G., Wiering, M. A., and Turner, I. L.: Recurrent neural network modeling of nearshore sandbar behavior, Neural Networks, 20, 509–518, 2007. </reference>
		<reference numeration="24" content_type="text"> Puleo, J. A., Johnson, R. V., Butt, T., Kooney, T. N., and Holland, K. T.: The effect of air bubbles on optical backscatter sensors, Mar. Geol., 230, 86–96, 2006. </reference>
		<reference numeration="25" content_type="text"> Rumelhart, D. E., Hinton, G. E., and Williams, R. J.: Learning representations by back-propagating errors, Nature, 323, 533–536, 1986. </reference>
		<reference numeration="26" content_type="text"> Sztobryn, M.: Forecast of storm surge by means of artificial neural network, J. Sea Res., 49, 317–322, 2003. </reference>
		<reference numeration="27" content_type="text"> Tsai, C. P. and Lee, T.: Back-propagation neural network in tidal-level forecasting, Journal of Waterway, Port, Coastal and Ocean Engineering, 125, 195–202, 1999. </reference>
		<reference numeration="28" content_type="text"> Tsai, C. P., Hsu, J. R. C., and Pan, K. L.: Prediction of storm-built beach profile parameters using neural networks, in Proceedings of the 27th International Conference on Coastal Engineering, ASCE, 3048–3061, 2000. </reference>
		<reference numeration="29" content_type="text"> Van Maanen, B., de Ruiter, P. J., and Ruessink, B. G.: An evaluation of two alongshore transport equations with field measurements, Coast. Eng., 56, 313–319, 2009. </reference>
		<reference numeration="30" content_type="text"> Van Rijn, L. C.: Sediment transport, part II: suspended load transport, J. Hydraulic Engineering, 110, 1613–1641, 1984. </reference>
		<reference numeration="31" content_type="text"> Vaughn, M. L.: Interpretation and knowledge discovery from the multilayer perceptron network: opening the black box, Neural Comput. Appl., 4, 72–82, 1996. </reference>
		<reference numeration="32" content_type="text"> Werbos, P. J.: Beyond regression: new tools for prediction and analysis in the behavioral sciences, PhD thesis, Cambridge, (MA), Harvard Univ., 1974. </reference>
	</references>
</article>

