<?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">NHESS</journal-id>
<journal-title-group>
<journal-title>Natural Hazards and Earth System Sciences</journal-title>
<abbrev-journal-title abbrev-type="publisher">NHESS</abbrev-journal-title>
<abbrev-journal-title abbrev-type="nlm-ta">Nat. Hazards Earth Syst. Sci.</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">1684-9981</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/nhess-15-381-2015</article-id>
<title-group>
<article-title>Developing an effective 2-D urban flood inundation model for city emergency management based on cellular automata</article-title>
</title-group>
<contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Liu</surname>
<given-names>L.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Liu</surname>
<given-names>Y.</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>Wang</surname>
<given-names>X.</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>Yu</surname>
<given-names>D.</given-names>
<ext-link>https://orcid.org/0000-0003-1350-0437</ext-link>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Liu</surname>
<given-names>K.</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>Huang</surname>
<given-names>H.</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>Hu</surname>
<given-names>G.</given-names>
</name>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
</contrib>
</contrib-group><aff id="aff1">
<label>1</label>
<addr-line>Center of Integrated Geographic Information Analysis, School of Geography and Planning, Sun Yat-sen University, Guangzhou, PR China</addr-line>
</aff>
<aff id="aff2">
<label>2</label>
<addr-line>Department of Geography, University of Cincinnati, Cincinnati, Ohio, USA</addr-line>
</aff>
<aff id="aff3">
<label>3</label>
<addr-line>Centre for Hydrological and Ecosystem Science, Department of Geography, Loughborough University, Loughborough, UK</addr-line>
</aff>
<aff id="aff4">
<label>4</label>
<addr-line>School of Geography and Planning, Guangdong Key Laboratory for Urbanization and Geo-simulation, SunYat-sen University, Guangzhou, PR China</addr-line>
</aff>
<pub-date pub-type="epub">
<day>04</day>
<month>03</month>
<year>2015</year>
</pub-date>
<volume>15</volume>
<issue>3</issue>
<fpage>381</fpage>
<lpage>391</lpage>
<permissions>
<copyright-statement>Copyright: &#x000a9; 2015 L. Liu et al.</copyright-statement>
<copyright-year>2015</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://nhess.copernicus.org/articles/15/381/2015/nhess-15-381-2015.html">This article is available from https://nhess.copernicus.org/articles/15/381/2015/nhess-15-381-2015.html</self-uri>
<self-uri xlink:href="https://nhess.copernicus.org/articles/15/381/2015/nhess-15-381-2015.pdf">The full text article is available as a PDF file from https://nhess.copernicus.org/articles/15/381/2015/nhess-15-381-2015.pdf</self-uri>
<abstract>
<p>Flash floods have occurred frequently in the urban areas of southern China. An
effective process-oriented urban flood inundation model is urgently
needed for urban storm-water and emergency management. This study develops an
efficient and flexible cellular automaton (CA) model to simulate storm-water
runoff and the flood inundation process during extreme storm events. The
process of infiltration, inlets discharge and flow dynamics can be simulated
with little preprocessing on commonly available basic urban geographic
data. In this model, a set of gravitational diverging rules are implemented
to govern the water flow in a rectangular template of three cells by three cells of a
raster layer. The model is calibrated by one storm event and validated by
another in a small urban catchment in Guangzhou of southern China. The depth
of accumulated water at the catchment outlet is interpreted from street-monitoring closed-circuit television (CCTV) videos and verified by on-site survey. A
good level of agreement between the simulated process and the reality is
reached for both storm events. The model reproduces the changing extent and
depth of flooded areas at the catchment outlet with an accuracy of 4 cm in
water depth. Comparisons with a physically based 2-D model (FloodMap) show
that the model is capable of effectively simulating flow dynamics. The high
computational efficiency of the CA model can meet the needs of city
emergency management.</p>
</abstract>
<counts><page-count count="11"/></counts>
<funding-group>
<award-group id="gs1">
<funding-source></funding-source>
<award-id>2012AA121402</award-id>
</award-group>
<award-group id="gs2">
<funding-source></funding-source>
<award-id>2012AA121403</award-id>
</award-group>
<award-group id="gs3">
<funding-source></funding-source>
<award-id>2012CB955903</award-id>
</award-group>
</funding-group>
</article-meta>
</front>
<body/>
<back>
<ref-list>
<title>References</title>
<ref id="ref1">
<label>1</label><mixed-citation publication-type="other" xlink:type="simple">Avolio, M. V., Crisci, G. M., D&apos;Ambrosio, D., Di Gregorio, S., Iovine, G., Rongo, R., and Spataro, W.: An extended notion of Cellular Automata for surface flows modelling, WSEAS Trans. Comput., 2, 1080–1085, 2003.</mixed-citation>
</ref>
<ref id="ref2">
<label>2</label><mixed-citation publication-type="other" xlink:type="simple">Bates, P. D. and De Roo, A. P. J.: A simple raster-based model for flood inundation simulation, J. Hydrol., 236, 54–77, 2000.</mixed-citation>
</ref>
<ref id="ref3">
<label>3</label><mixed-citation publication-type="other" xlink:type="simple">Bates, P. D., Horritt, M. S., and Fewtrell, T. J.: A simple inertial formulation of the shallow water equations for efficient two-dimensional flood inundation modelling, J. Hydrol., 387, 33–45, 2010.</mixed-citation>
</ref>
<ref id="ref4">
<label>4</label><mixed-citation publication-type="other" xlink:type="simple">Bidur Ghimire, A. S. C. M.: Formulation of a fast 2-D urban pluvial flood model using a cellular automata approach, J. Hydroinform., 15, 676–686, 2013.</mixed-citation>
</ref>
<ref id="ref5">
<label>5</label><mixed-citation publication-type="other" xlink:type="simple">Burks, A. W.: Essays on Cellular Automata, University of Illinois Press, Paris, 1970.</mixed-citation>
</ref>
<ref id="ref6">
<label>6</label><mixed-citation publication-type="other" xlink:type="simple">Chang, L.-C., Shen, H.-Y., Wang, Y.-F., Huang, J.-Y., and Lin, Y.-T.: Clustering-based hybrid inundation model for forecasting flood inundation depths, J. Hydrol., 385, 257–268, 2010.</mixed-citation>
</ref>
<ref id="ref7">
<label>7</label><mixed-citation publication-type="other" xlink:type="simple">Chen, A. S., Evans, B., Djordjevi, S., and Savi, D. A.: Multi-layered coarse grid modelling in 2D urban flood simulations, J. Hydrol., 470/471, 1–11, 2012.</mixed-citation>
</ref>
<ref id="ref8">
<label>8</label><mixed-citation publication-type="other" xlink:type="simple">Chen, J. and Adams, B. J.: Development of analytical models for estimation of urban stormwater runoff, J. Hydrol., 336, 458–469, 2007.</mixed-citation>
</ref>
<ref id="ref9">
<label>9</label><mixed-citation publication-type="other" xlink:type="simple">Chen, J., Hill, A. A., and Urbano, L. D.: A GIS-based model for urban flood inundation, J. Hydrol., 373, 184–192, 2009.</mixed-citation>
</ref>
<ref id="ref10">
<label>10</label><mixed-citation publication-type="other" xlink:type="simple">Coulthard, T. J., Macklin, M. G., and Kirkby, M. J.: A cellular model of Holocene upland river basin and alluvial fan evolution, Earth. Surf. Proc. Land., 27, 269–288, 2002.</mixed-citation>
</ref>
<ref id="ref11">
<label>11</label><mixed-citation publication-type="other" xlink:type="simple">D&apos;Ambrosio, D., Di Gregorio, S., Gabriele, S., and Gaudio, R.: A Cellular Automata model for soil erosion by water, Phys. Chem. Earth B, 26, 33–39, 2001.</mixed-citation>
</ref>
<ref id="ref12">
<label>12</label><mixed-citation publication-type="other" xlink:type="simple">Di Gregorio, S. and Serra, R.: An empirical method for modelling and simulating some complex macroscopic phenomena by cellular automata, Future Generation Computer Systems, 16, 259–271, 1999.</mixed-citation>
</ref>
<ref id="ref13">
<label>13</label><mixed-citation publication-type="other" xlink:type="simple">Dunn, G., Harris, L., Cook, C., and Prystajecky, N.: A comparative analysis of current microbial water quality risk assessment and management practices in British Columbia and Ontario, Canada, Sci. Total. Environ., 468/469, 544–552, 2014.</mixed-citation>
</ref>
<ref id="ref14">
<label>14</label><mixed-citation publication-type="other" xlink:type="simple">Fewtrell, T. J., Bates, P. D., Horritt, M., and Hunter, N. M.: Evaluating the effect of scale in flood inundation modelling in urban environments, Hydrol. Process., 22, 5107–5118, 2008.</mixed-citation>
</ref>
<ref id="ref15">
<label>15</label><mixed-citation publication-type="other" xlink:type="simple">Fewtrell, T. J., Duncan, A., Sampson, C. C., Neal, J. C., and Bates, P. D.: Benchmarking urban flood models of varying complexity and scale using high resolution terrestrial LiDAR data, Phys. Chem. Earth, 36, 281–291, 2011.</mixed-citation>
</ref>
<ref id="ref16">
<label>16</label><mixed-citation publication-type="other" xlink:type="simple">Gilbert, J. K. and Clausen, J. C.: Stormwater runoff quality and quantity from asphalt, paver, and crushed stone driveways in Connecticut, Water. Res., 40, 826–832, 2006.</mixed-citation>
</ref>
<ref id="ref17">
<label>17</label><mixed-citation publication-type="other" xlink:type="simple">He, J., Valeo, C., Chu, A., and Neumann, N. F.: Prediction of event-based stormwater runoff quantity and quality by ANNs developed using PMI-based input selection, J. Hydrol., 400, 10–23, 2011.</mixed-citation>
</ref>
<ref id="ref18">
<label>18</label><mixed-citation publication-type="other" xlink:type="simple">Horritt, M. S. and Bates, P. D.: Predicting floodplain inundation: Raster-based modelling versus the finite-element approach, Hydrol. Process., 15, 825–842, 2001.</mixed-citation>
</ref>
<ref id="ref19">
<label>19</label><mixed-citation publication-type="other" xlink:type="simple">Horritt, M. S. and Bates, P. D.: Evaluation of 1D and 2D numerical models for predicting river flood inundation, J. Hydrol., 268, 87–99, 2002.</mixed-citation>
</ref>
<ref id="ref20">
<label>20</label><mixed-citation publication-type="other" xlink:type="simple">Hunter, N. M., Bates, P. D., Horritt, M. S., De Roo, A. P. J., and Werner, M. G. F.: Utility of different data types for calibrating flood inundation models within a GLUE framework, Hydrol. Earth Syst. Sci., 9, 412–430, &lt;a href=&quot;http://dx.doi.org/10.5194/hess-9-412-2005&quot;&gt;https://doi.org/10.5194/hess-9-412-2005&lt;/a&gt;, 2005a.</mixed-citation>
</ref>
<ref id="ref21">
<label>21</label><mixed-citation publication-type="other" xlink:type="simple">Hunter, N. M., Horritt, M. S., Bates, P. D., Wilson, M. D., and Werner, M. G. F.: An adaptive time step solution for raster-based storage cell modelling of floodplain inundation, Adv. Water. Resour., 28, 975–991, 2005b.</mixed-citation>
</ref>
<ref id="ref22">
<label>22</label><mixed-citation publication-type="other" xlink:type="simple">Krupka, M., Pender, G., Wallis, S., Sayers, P. B., and Mulet-Marti, J.: A rapid flood inundation model, Progress of the Congress-International Association for Hydraulic Research, Venice, p. 28, 2007.</mixed-citation>
</ref>
<ref id="ref23">
<label>23</label><mixed-citation publication-type="other" xlink:type="simple">Kubal, C., Haase, D., Meyer, V., and Scheuer, S.: Integrated urban flood risk assessment – adapting a multicriteria approach to a city, Nat. Hazards Earth Syst. Sci., 9, 1881–1895, &lt;a href=&quot;http://dx.doi.org/10.5194/nhess-9-1881-2009&quot;&gt;https://doi.org/10.5194/nhess-9-1881-2009&lt;/a&gt;, 2009.</mixed-citation>
</ref>
<ref id="ref24">
<label>24</label><mixed-citation publication-type="other" xlink:type="simple">Lamb, R., Crossley, M., and Waller, S.: A fast two-dimensional floodplain inundation model, Proc. Ice-Water Manage., 162, 363–370, 2009.</mixed-citation>
</ref>
<ref id="ref25">
<label>25</label><mixed-citation publication-type="other" xlink:type="simple">Leandro, J., Chen, A. S., and Schumann, A.: A 2D parallel diffusive wave model for floodplain inundation with variable time step (P-DWave), J. Hydrol., 517, 250–259, 2014.</mixed-citation>
</ref>
<ref id="ref26">
<label>26</label><mixed-citation publication-type="other" xlink:type="simple">Lhomme, J., Sayers, P. B., Gouldby, B. P., Samuels, P. G., Wills, M., and Mulet-Marti, J.: Recent development and application of a rapid flood spreading method, in: FLOODrisk 2008, 30 September–2 October 2008, Keble College, Oxford, UK, 2008.</mixed-citation>
</ref>
<ref id="ref27">
<label>27</label><mixed-citation publication-type="other" xlink:type="simple">Liu, Y. and Pender, G.: A new rapid flood inundation model, proceedings of the first IAHR European Congress, Edinburgh, 4–6, 2010.</mixed-citation>
</ref>
<ref id="ref28">
<label>28</label><mixed-citation publication-type="other" xlink:type="simple">Mahmoudi, H., Renn, O., Vanclay, F., Hoffmann, V., and Karami, E.: A framework for combining social impact assessment and risk assessment, Environ. Impact. Asses., 43, 1–8, 2013.</mixed-citation>
</ref>
<ref id="ref29">
<label>29</label><mixed-citation publication-type="other" xlink:type="simple">Mark, O., Weesakul, S., Apirumanekul, C., Aroonnet, S. B., and Djordjevi, S.: Potential and limitations of 1D modelling of urban flooding, J. Hydrol., 299, 284–299, 2004.</mixed-citation>
</ref>
<ref id="ref30">
<label>30</label><mixed-citation publication-type="other" xlink:type="simple">Nash, J. and Sutcliffe, J.: River flow forecasting through conceptual models part I – a discussion of principles, J. Hydrol., 10, 282–290, 1970.</mixed-citation>
</ref>
<ref id="ref31">
<label>31</label><mixed-citation publication-type="other" xlink:type="simple">Neal, J. C., Bates, P. D., Fewtrell, T. J., Hunter, N. M., Wilson, M. D., and Horritt, M. S.: Distributed whole city water level measurements from the Carlisle 2005 urban flood event and comparison with hydraulic model simulations, J. Hydrol., 368, 42–55, 2009.</mixed-citation>
</ref>
<ref id="ref32">
<label>32</label><mixed-citation publication-type="other" xlink:type="simple">Parsons, J. A. and Fonstad, M. A.: cellular automata model of surface water, Hydrol. Process., 2189–2195, 2007.</mixed-citation>
</ref>
<ref id="ref33">
<label>33</label><mixed-citation publication-type="other" xlink:type="simple">Rossman, L.: Storm Water Management Model (SWMM version 5.0) user&apos;s manual, United States Environment Protection Agency, Cincinnati, Ohio, 2004.</mixed-citation>
</ref>
<ref id="ref34">
<label>34</label><mixed-citation publication-type="other" xlink:type="simple">Sampson, C. C., Fewtrell, T. J., Duncan, A., Shaad, K., Horritt, M. S., and Bates, P. D.: Use of terrestrial laser scanning data to drive decimetric resolution urban inundation models, Adv. Water. Resour., 41, 1–17, 2012.</mixed-citation>
</ref>
<ref id="ref35">
<label>35</label><mixed-citation publication-type="other" xlink:type="simple">Sanders, B. F., Schubert, J. E., and Detwiler, R. L.: ParBreZo: A parallel, unstructured grid, Godunov-type, shallow-water code for high-resolution flood inundation modeling at the regional scale, Adv. Water. Resour., 33, 1456–1467, 2010.</mixed-citation>
</ref>
<ref id="ref36">
<label>36</label><mixed-citation publication-type="other" xlink:type="simple">Schumann, G. J. P., Neal, J. C., Mason, D. C., and Bates, P. D.: The accuracy of sequential aerial photography and SAR data for observing urban flood dynamics, a case study of the UK summer 2007 floods, Remote. Sens. Environ., 115, 2536–2546, 2011.</mixed-citation>
</ref>
<ref id="ref37">
<label>37</label><mixed-citation publication-type="other" xlink:type="simple">Sun, X.: Drainage engineering (I), China Building Industry Press, Beijing, 1999.</mixed-citation>
</ref>
<ref id="ref38">
<label>38</label><mixed-citation publication-type="other" xlink:type="simple">Taubenböck, H., Wurm, M., Netzband, M., Zwenzner, H., Roth, A., Rahman, A., and Dech, S.: Flood risks in urbanized areas – multi-sensoral approaches using remotely sensed data for risk assessment, Nat. Hazards Earth Syst. Sci., 11, 431–444, &lt;a href=&quot;http://dx.doi.org/10.5194/nhess-11-431-2011&quot;&gt;https://doi.org/10.5194/nhess-11-431-2011&lt;/a&gt;, 2011.</mixed-citation>
</ref>
<ref id="ref39">
<label>39</label><mixed-citation publication-type="other" xlink:type="simple">Thomas, R. and Nicholas, A. P.: Simulation of braided river flow using a new cellular routing scheme, Geomorphology, 43, 179–195, 2002.</mixed-citation>
</ref>
<ref id="ref40">
<label>40</label><mixed-citation publication-type="other" xlink:type="simple">Tsakiris, G.: Flood risk assessment: concepts, modelling, applications, Nat. Hazards Earth Syst. Sci., 14, 1361–1369, &lt;a href=&quot;http://dx.doi.org/10.5194/nhess-14-1361-2014&quot;&gt;https://doi.org/10.5194/nhess-14-1361-2014&lt;/a&gt;, 2014.</mixed-citation>
</ref>
<ref id="ref41">
<label>41</label><mixed-citation publication-type="other" xlink:type="simple">Versini, P.-A., Gaume, E., and Andrieu, H.: Application of a distributed hydrological model to the design of a road inundation warning system for flash flood prone areas, Nat. Hazards Earth Syst. Sci., 10, 805–817, &lt;a href=&quot;http://dx.doi.org/10.5194/nhess-10-805-2010&quot;&gt;https://doi.org/10.5194/nhess-10-805-2010&lt;/a&gt;, 2010.</mixed-citation>
</ref>
<ref id="ref42">
<label>42</label><mixed-citation publication-type="other" xlink:type="simple">Von Neumann, J.: Theory of Self-Reproducing Automata, University of Illinois Press, Champaign, Illinois, 1966.</mixed-citation>
</ref>
<ref id="ref43">
<label>43</label><mixed-citation publication-type="other" xlink:type="simple">Wang, J. P. and Liang, Q.: Testing a new adaptive grid-based shallow flow model for different types of flood simulations, J. Flood Risk Manage., 4, 96–103, 2011.</mixed-citation>
</ref>
<ref id="ref44">
<label>44</label><mixed-citation publication-type="other" xlink:type="simple">Wolfram, S.: Computation theory of cellular automata, Commun. Math. Phys., 96, 15–57, 1984.</mixed-citation>
</ref>
<ref id="ref45">
<label>45</label><mixed-citation publication-type="other" xlink:type="simple">Wolfram, S.: Origins of randomness in physical systems, Phys. Rev. Lett., 55, 449–452, 1985a.</mixed-citation>
</ref>
<ref id="ref46">
<label>46</label><mixed-citation publication-type="other" xlink:type="simple">Wolfram, S.: Undecidability and intractability in theoretical physics, Phys. Rev. Lett., 54, 735–738, 1985b.</mixed-citation>
</ref>
<ref id="ref47">
<label>47</label><mixed-citation publication-type="other" xlink:type="simple">Wolfram, S.: Random sequence generation by cellular automata, Adv. Appl. Math., 7, 123–169, 1986a.</mixed-citation>
</ref>
<ref id="ref48">
<label>48</label><mixed-citation publication-type="other" xlink:type="simple">Wolfram, S.: Cellular automaton fluids 1: Basic theory, J. Stat. Phys., 45, 471–526, 1986b.</mixed-citation>
</ref>
<ref id="ref49">
<label>49</label><mixed-citation publication-type="other" xlink:type="simple">Yu, D.: Parallelization of a two-dimensional flood inundation model based on domain decomposition, Environ. Model. Softw., 25, 935–945, 2010.</mixed-citation>
</ref>
<ref id="ref50">
<label>50</label><mixed-citation publication-type="other" xlink:type="simple">Yu, D. and Lane, S. N.: Urban fluvial flood modelling using a two-dimensional diffusion-wave treatment, part 2: development of a sub-grid-scale treatment, Hydrol. Process., 20, 1567–1583, 2006a.</mixed-citation>
</ref>
<ref id="ref51">
<label>51</label><mixed-citation publication-type="other" xlink:type="simple">Yu, D. and Lane, S. N.: Urban fluvial flood modelling using a two-dimensional diffusion-wave treatment, part 1: mesh resolution effects, Hydrol. Process., 20, 1541–1565, 2006b.</mixed-citation>
</ref>
<ref id="ref52">
<label>52</label><mixed-citation publication-type="other" xlink:type="simple">Zanobetti, D., Lorgeré, H., Preissman, A., and Cunge, J. A.: Mekong delta mathematical model program construction, J. Waterways Harbors Div., 96, 181–199, 1970.</mixed-citation>
</ref>
<ref id="ref53">
<label>53</label><mixed-citation publication-type="other" xlink:type="simple">Zhang, S. and Pan, B.: An urban storm-inundation simulation method based on GIS, J. Hydrol., 517, 260–268, 2014.</mixed-citation>
</ref>
<ref id="ref54">
<label>54</label><mixed-citation publication-type="other" xlink:type="simple">Zhang, S., Wang, T., and Zhao, B.: Calculation and visualization of flood inundation based on a topographic triangle network, J. Hydrol., 509, 406–415, 2014.</mixed-citation>
</ref>
</ref-list>
</back>
</article>