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<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">HESS</journal-id>
<journal-title-group>
<journal-title>Hydrology and Earth System Sciences</journal-title>
<abbrev-journal-title abbrev-type="publisher">HESS</abbrev-journal-title>
<abbrev-journal-title abbrev-type="nlm-ta">Hydrol. Earth Syst. Sci.</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">1607-7938</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/hess-2-257-1998</article-id>
<title-group>
<article-title>Non-linearity and spatial resolution in a cellular automaton model of a small upland basin</article-title>
</title-group>
<contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Coulthard</surname>
<given-names>T. J.</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Kirkby</surname>
<given-names>M. J.</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>Macklin</surname>
<given-names>M. G.</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 Geography, University of Leeds, Leeds, LS2 9JT United Kingdom.</addr-line>
</aff>
<aff id="aff2">
<label>2</label>
<addr-line>Tel: +44 (0)113 2333326 Fax: +44 (0)113 2333308 E-mail: T.Coulthard@geog.leeds.ac.uk</addr-line>
</aff>
<pub-date pub-type="epub">
<day>30</day>
<month>09</month>
<year>1998</year>
</pub-date>
<volume>2</volume>
<issue>2/3</issue>
<fpage>257</fpage>
<lpage>264</lpage>
<permissions>
<copyright-statement>Copyright: &#x000a9; 1998 T. J. Coulthard et al.</copyright-statement>
<copyright-year>1998</copyright-year>
<license license-type="open-access">
<license-p>This work is licensed under the Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Generic License. To view a copy of this licence, visit <ext-link ext-link-type="uri"  xlink:href="https://creativecommons.org/licenses/by-nc-sa/2.5/">https://creativecommons.org/licenses/by-nc-sa/2.5/</ext-link></license-p>
</license>
</permissions>
<self-uri xlink:href="https://hess.copernicus.org/articles/2/257/1998/hess-2-257-1998.html">This article is available from https://hess.copernicus.org/articles/2/257/1998/hess-2-257-1998.html</self-uri>
<self-uri xlink:href="https://hess.copernicus.org/articles/2/257/1998/hess-2-257-1998.pdf">The full text article is available as a PDF file from https://hess.copernicus.org/articles/2/257/1998/hess-2-257-1998.pdf</self-uri>
<abstract>
<p>The continuing development of computational
fluid dynamics is allowing the high resolution study of hydraulic and sediment transport
processes but, due to computational complexities, these are rarely applied to areas larger
than a reach. Existing approaches, based upon linked cross sections, can give a quasi
two-dimensional view, effectively simulating sediment transport for a single river reach.
However, a basin represents a whole discrete dynamic system within which channel,
floodplain and slope processes operate over a wide range of space and time scales. Here, a
cellular automaton (CA) approach has been used to overcome some of these difficulties, in
which the landscape is represented as a series of fixed size cells. For every model
iteration, each cell acts only in relation to the influence of its immediate neighbours in
accordance with appropriate rules. 
&lt;br&gt;The model presented here takes approximations of existing flow and
sediment transport equations, and integrates them, together with slope and floodplain
approximations, within a cellular automaton framework. This method has been applied to the
basin of Cam Gill Beck (4.2 km&lt;sup&gt;2&lt;/sup&gt; ) above Starbotton, upper Wharfedale, a
tributary of the River Wharfe, North Yorkshire, UK. 
&lt;br&gt;This approach provides, for the first time, a workable model of the
whole basin at a 1 m resolution. Preliminary results show the evolution of bars, braids,
terraces and alluvial fans which are similar to those observed in the field, and examples
of large and small scale non-linear behaviour which may have considerable implications for
future models.</p>
</abstract>
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</article-meta>
</front>
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