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<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-16-1137-2012</article-id>
<title-group>
<article-title>Influences on flood frequency distributions in Irish river catchments</article-title>
</title-group>
<contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Ahilan</surname>
<given-names>S.</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>O'Sullivan</surname>
<given-names>J. 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>Bruen</surname>
<given-names>M.</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 Civil, Structural and Environmental Engineering, University College Dublin, Dublin, Ireland</addr-line>
</aff>
<pub-date pub-type="epub">
<day>05</day>
<month>04</month>
<year>2012</year>
</pub-date>
<volume>16</volume>
<issue>4</issue>
<fpage>1137</fpage>
<lpage>1150</lpage>
<permissions>
<copyright-statement>Copyright: &#x000a9; 2012 S. Ahilan et al.</copyright-statement>
<copyright-year>2012</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://hess.copernicus.org/articles/16/1137/2012/hess-16-1137-2012.html">This article is available from https://hess.copernicus.org/articles/16/1137/2012/hess-16-1137-2012.html</self-uri>
<self-uri xlink:href="https://hess.copernicus.org/articles/16/1137/2012/hess-16-1137-2012.pdf">The full text article is available as a PDF file from https://hess.copernicus.org/articles/16/1137/2012/hess-16-1137-2012.pdf</self-uri>
<abstract>
<p>This study explores influences on flood frequency distributions in Irish
rivers. A Generalised Extreme Value (GEV) type I distribution is recommended
in Ireland for estimating flood quantiles in a single site flood frequency
analysis. This paper presents the findings of an investigation that
identified the GEV statistical distributions that best fit the annual maximum
(AM) data series extracted from 172 gauging stations of 126 rivers in
Ireland. Analysis of these data was undertaken to explore hydraulic and
hydro-geological factors that influence flood frequency distributions. A
hierarchical approach of increasing statistical power that used probability
plots, moment and L-moment diagrams, the Hosking goodness of fit algorithm
and a modified Anderson-Darling (A-D) statistical test was followed to
determine whether a type I, type II or type III distribution was valid.
Results of the Hosking et al. method indicated that of the 143 stations with
flow records exceeding 25 yr, data for 95 (67%) was best represented by
GEV type I distributions and a further 9 (6%) and 39 (27%) stations
followed type II and type III distributions respectively. Type I, type II and
type III distributions were determined for 83 (58%), 16 (11%) and 34
(24%) stations respectively using the modified A-D method (data from 10
stations was not represented by GEV family distributions). The influence of
karst terrain on these flood frequency distributions was assessed by
incorporating results on an Arc-GIS platform showing karst features and using
Monte Carlo simulations to assess the significance of the number and
clustering of the observed distributions. Floodplain effects were identified
by using two-sample t-tests to identify statistical correlations between the
distributions and catchment properties that are indicative of strong
floodplain activity. The data reveals that type I distributions are spatially
well represented throughout the country. While also well represented
throughout the country, the majority of type III distributions appear in
areas where attenuation influences from floodplains are likely. The majority
of type II distributions appear in a single cluster in a region in the west
of the country that is underlain by karst but importantly, is characterised
by shallow of glacial drift with frequent exposures of rock outcrops. The
presence of karst in river catchments would be expected to provide additional
subsurface storage and in this regard, type III distributions might be
expected. The prevalence of type II distributions in this area reflects the
finite nature of this storage. For prolonged periods of rainfall, rising
groundwater levels will fill karst voids, remove subsurface storage and
contribute to recharge related sinkhole flooding. Situations where rainfall
intensities exceed karst percolation rates also produce high levels of
surface runoff (discharge related flooding) that can promote type II
distributions in nearby river catchments. Results therefore indicate that in
some instances, assuming type I distributions is incorrect and may result in
erroneous estimates of flood quantiles at these locations. Where actual data
follows a type II distribution, flood quantiles may be underestimated by in
excess of 35% and for type III distributions, overestimates by over 25% can occur.</p>
</abstract>
<counts><page-count count="14"/></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">Acreman, M. C. and Sinclair, C. D.: Classification of drainage basin according to their physical characteristics; an application for flood frequency analysis in Scotland, J. Hydrol., 84, 365–380, 1986.</mixed-citation>
</ref>
<ref id="ref2">
<label>2</label><mixed-citation publication-type="other" xlink:type="simple">Ahmad, M. I., Sinclair, C. D., and Spurr, B. D.: Assessment of Flood Frequency Models Using Empirical Distribution Function Statistics, Water Resour. Res., 24, 1323–1328, 1988.</mixed-citation>
</ref>
<ref id="ref3">
<label>3</label><mixed-citation publication-type="other" xlink:type="simple">Archer, D.: Flood wave attenuation due to channel and floodplain storage and effects on flood frequency, in: Floods: Hydrological, Sedimentological and Geomorphological Implications, edited by: Beven, K. and Carling, P. A., John Wiley and Sons, Chichester, 37–46, 1989.</mixed-citation>
</ref>
<ref id="ref4">
<label>4</label><mixed-citation publication-type="other" xlink:type="simple">Archer, D. R.: A catchment approach to flood estimation, Proc. Instn Wat. Engrs Scient., 35, 275–289, 1980.</mixed-citation>
</ref>
<ref id="ref5">
<label>5</label><mixed-citation publication-type="other" xlink:type="simple">Bailly-Comte, V., Jourde, H., Roesch, A., Pistre, S., and Batiot-Guilhe, C.: Time series analyses for Karst/River interactions assessment: Case of the Coulazou River (Southern France), J. Hydrol., 349, 98–114, 2008.</mixed-citation>
</ref>
<ref id="ref6">
<label>6</label><mixed-citation publication-type="other" xlink:type="simple">Benson, M. A.: Uniform flood frequency estimation methods for federal agencies, Water Resour. Res., 4, 891–908, 1968.</mixed-citation>
</ref>
<ref id="ref7">
<label>7</label><mixed-citation publication-type="other" xlink:type="simple">Benzeden, E., Olcay, M.S. and Bagali, K.: Flood frequency analysis in karst river basins, Hydrological Processes in Karst Terranes, Proceedings of the Antalya Symposium and Field Seminar, October&amp;nbsp;1990, IAHS Publ., 207, 187–202, 1993.</mixed-citation>
</ref>
<ref id="ref8">
<label>8</label><mixed-citation publication-type="other" xlink:type="simple">Bhowmik, N. G.: Hydraulic geometry of floodplains, in: Global Water: Science and Engineering – The Ven Te Chow Memorial Volume, edited by: Stout, G. E. and Davis, G. H., J. Hydrol., 68, 369–401, 1984.</mixed-citation>
</ref>
<ref id="ref9">
<label>9</label><mixed-citation publication-type="other" xlink:type="simple">Bobee, B., Cavadias, G., Ashkar, F., Bernier, J., and Rasmussen, P.: Towards a systematic approach to comparing distributions used in flood frequency analysis, J. Hydrol., 142, 121–136, 1992.</mixed-citation>
</ref>
<ref id="ref10">
<label>10</label><mixed-citation publication-type="other" xlink:type="simple">Bonacci, O.: Analysis of the maximum discharge of karst springs, Hydrogeol. J., 9, 328–338, 2001.</mixed-citation>
</ref>
<ref id="ref11">
<label>11</label><mixed-citation publication-type="other" xlink:type="simple">Bonacci, O. and Zivaljevic, R.: Hydrological explanation of the flow in karst: example of the Crnojevica Spring, J. Hydrol., 146, 405–419, 1992.</mixed-citation>
</ref>
<ref id="ref12">
<label>12</label><mixed-citation publication-type="other" xlink:type="simple">Bonacci, O.: Hazards caused by natural and anthropogenic changes of catchment area in karst, Nat. Hazards Earth Syst. Sci., 4, 655-661, &lt;a href=&quot;http://dx.doi.org/10.5194/nhess-4-655-2004&quot;&gt;https://doi.org/10.5194/nhess-4-655-2004&lt;/a&gt;, 2004.</mixed-citation>
</ref>
<ref id="ref13">
<label>13</label><mixed-citation publication-type="other" xlink:type="simple">Bonacci, O., Ljubenkov, I., and Roje-Bonacci, T.: Karst flash floods: an example from the Dinaric karst (Croatia), Nat. Hazards Earth Syst. Sci., 6, 195–203, &lt;a href=&quot;http://dx.doi.org/10.5194/nhess-6-195-2006&quot;&gt;https://doi.org/10.5194/nhess-6-195-2006&lt;/a&gt;, 2006.</mixed-citation>
</ref>
<ref id="ref14">
<label>14</label><mixed-citation publication-type="other" xlink:type="simple">Castro, J. M. and Jackson, P. L.: Bankfull discharge recurrence intervals and regional hydraulic geometry relationships patterns in the Pacific Northwest, USA, J. Am. Water Resour. Assoc., 37, 1249–1262, 2001.</mixed-citation>
</ref>
<ref id="ref15">
<label>15</label><mixed-citation publication-type="other" xlink:type="simple">Coxon, C. E.: The spatial distribution of turloughs, Irish Geogr., 20, 11–23, 1987.</mixed-citation>
</ref>
<ref id="ref16">
<label>16</label><mixed-citation publication-type="other" xlink:type="simple">Coxon, C. E. and Drew, D.: Interdependence of groundwater and surface water in lowland karst areas of western Ireland: management issues arising from water and contaminant transfers, Geological Society, London, Special publications, 182, 81–88, 2000.</mixed-citation>
</ref>
<ref id="ref17">
<label>17</label><mixed-citation publication-type="other" xlink:type="simple">Cunnane, C.: Factors affecting choice of distribution for flood series, Hydrolog. Sci. J., 30, 25–36, 1985.</mixed-citation>
</ref>
<ref id="ref18">
<label>18</label><mixed-citation publication-type="other" xlink:type="simple">Cunnane, C.: Statistical distributions for flood frequency analysis, World Meteorological Organization, Operational hydrology Report No.&amp;nbsp;33, 73 pp., 1989.</mixed-citation>
</ref>
<ref id="ref19">
<label>19</label><mixed-citation publication-type="other" xlink:type="simple">Cunnane, C., Das, S., and Mandal, U.: Final report of Work-Package&amp;nbsp;2.2 &quot;Frequency analysis&quot; of the Irish Flood Studies Update Programme, A report submitted to Irish Office of Public Works, 2008.</mixed-citation>
</ref>
<ref id="ref20">
<label>20</label><mixed-citation publication-type="other" xlink:type="simple">Denic-Jukic, V. and Jukic, D.: Composite transfer functions for karst aquifers, J. Hydrol., 274, 80–94, 2002.</mixed-citation>
</ref>
<ref id="ref21">
<label>21</label><mixed-citation publication-type="other" xlink:type="simple">Diehl, T. H.: Hydrological and statistical characteristics of extreme floods, Ph.D.&amp;nbsp;dissertation, Univ.&amp;nbsp;of Wisc., Madison, 1990.</mixed-citation>
</ref>
<ref id="ref22">
<label>22</label><mixed-citation publication-type="other" xlink:type="simple">Drew, D. P.: Hydrogeology of the North Co.&amp;nbsp;Galway – South Co.&amp;nbsp;Mayo lowland karst area, Western Ireland, Proc.&amp;nbsp;6 Int. Spel. Cong., Olomouc, 1973, 4, 57–61, 1976.</mixed-citation>
</ref>
<ref id="ref23">
<label>23</label><mixed-citation publication-type="other" xlink:type="simple">Drew, D. P.: The effects of human activity on a lowland karst aquifer, in: Problems in karst hydrology, edited by: Burger, A., Int. Assoc. Hydrogelogists, 2, 1980.</mixed-citation>
</ref>
<ref id="ref24">
<label>24</label><mixed-citation publication-type="other" xlink:type="simple">Drew, D. P.: The Hydrology of the Burren, County Clare, Irish Geogr., 23, 69–89, 1990.</mixed-citation>
</ref>
<ref id="ref25">
<label>25</label><mixed-citation publication-type="other" xlink:type="simple">Drew, D. P.: Hydrogeology of lowland karst in Ireland, Q. J. Eng. Geol. Hydrogeol., 41, 61–72, 2008.</mixed-citation>
</ref>
<ref id="ref26">
<label>26</label><mixed-citation publication-type="other" xlink:type="simple">Drew, D. P. and Coxon, C. E.: Karst hydrogeology and karst environment protection, IAH 21st&amp;nbsp;Congress, 10–15&amp;nbsp;October, Guilin.&amp;nbsp;China, 204–209, 1988.</mixed-citation>
</ref>
<ref id="ref27">
<label>27</label><mixed-citation publication-type="other" xlink:type="simple">El Adlouni, S., Bobee, B., and Ouarda, T. B. M. J.: On the tails of extreme event distributions in hydrology, J. Hydrol., 355, 16–33, 2008.</mixed-citation>
</ref>
<ref id="ref28">
<label>28</label><mixed-citation publication-type="other" xlink:type="simple">Haider, S.: Effects of floodplain inundation on flood frequency, Trans. Am. Geophys. Union, 73, 242–243, 1992.</mixed-citation>
</ref>
<ref id="ref29">
<label>29</label><mixed-citation publication-type="other" xlink:type="simple">Hollis, G. E.: The effect of urbanization on floods of different recurrence interval, Water Resour. Res., 11, 431–435, 1975.</mixed-citation>
</ref>
<ref id="ref30">
<label>30</label><mixed-citation publication-type="other" xlink:type="simple">Hosking, J. R. M.: L-moments: analysis and estimation of distributions using linear combinations of order statistics, J. R. Stat. Soc.&amp;nbsp;B, 52, 105–124, 1990.</mixed-citation>
</ref>
<ref id="ref31">
<label>31</label><mixed-citation publication-type="other" xlink:type="simple">Hosking, J. R. M. and Wallis, J. R.: Regional frequency analysis: an approach based on L-moments, Cambridge, UK, Cambridge University Press, 1997.</mixed-citation>
</ref>
<ref id="ref32">
<label>32</label><mixed-citation publication-type="other" xlink:type="simple">Hosking, J. R. M., Wallis, J. R., and Wood, E. F.: Estimation of the generalized extreme value distribution by the method of Probability-Weighted Moments, Technometrics, 27, 251–260, 1985.</mixed-citation>
</ref>
<ref id="ref33">
<label>33</label><mixed-citation publication-type="other" xlink:type="simple">Jenkinson, A. F.: Statistics of extremes in estimation of Maximum Floods, WMO Tech.&amp;nbsp;Note&amp;nbsp;98, 183–228, 1969.</mixed-citation>
</ref>
<ref id="ref34">
<label>34</label><mixed-citation publication-type="other" xlink:type="simple">Jones, G. L. and Gunn, J.: Flood Alleviation in the Lowland Karst Area of Mullinahone, County Tipperary, Ireland, J. Earth Sci. R. Dubl. Soc., 5, 37–42, 1982.</mixed-citation>
</ref>
<ref id="ref35">
<label>35</label><mixed-citation publication-type="other" xlink:type="simple">Katimon, A. and Wahab, A. K. A.: Hydrological analysis of drained peat basin using time series correlation and cross correlation functions, Jurnal Teknologi., 39, 63–74, 2003.</mixed-citation>
</ref>
<ref id="ref36">
<label>36</label><mixed-citation publication-type="other" xlink:type="simple">Kirby, W.: Algebraic boundedness of sample statistics, Water Resour. Res., 10, 220–222, 1974.</mixed-citation>
</ref>
<ref id="ref37">
<label>37</label><mixed-citation publication-type="other" xlink:type="simple">Laio, F.: Cramer-von Mises and Anderson-Darling goodness of fit tests for extreme value distributions with unknown parameters, Water Resour. Res., 40, 1–10, 2004.</mixed-citation>
</ref>
<ref id="ref38">
<label>38</label><mixed-citation publication-type="other" xlink:type="simple">Lewin, J. and Hughes, D.: Welsh floodplain studies, II, Application of a qualitative inundation model, J. Hydrol., 46, 35–49, 1980.</mixed-citation>
</ref>
<ref id="ref39">
<label>39</label><mixed-citation publication-type="other" xlink:type="simple">Lewin, J. and Manton, M. M. M.: Welsh floodplain studies: the nature of floodplain geometry, J. Hydrol., 25, 37–50, 1975.</mixed-citation>
</ref>
<ref id="ref40">
<label>40</label><mixed-citation publication-type="other" xlink:type="simple">Mason, D. W.: Modelling the effect of Floodplain storage on the flood frequency curve, Ph.D.&amp;nbsp;thesis, University of Newcastle Upon Tyne, 1992.</mixed-citation>
</ref>
<ref id="ref41">
<label>41</label><mixed-citation publication-type="other" xlink:type="simple">Mason, D. W., O&apos; Connell, P. E., and Mawdsley, J. A.: The effect of floodplain storage on the flood frequency curve, Paper presented at International Association of Hydraulics Research, Int.&amp;nbsp;Symp.&amp;nbsp;on Stochastic Hydraulics, Birmingham, 1988.</mixed-citation>
</ref>
<ref id="ref42">
<label>42</label><mixed-citation publication-type="other" xlink:type="simple">McCartney, M. P. and Naden, P. S.: A Semi-Empirical investigation of the influence of flood-Plain Storage on Flood Flow, J. Inst. Water Environ. Manage., 9, 236–246, 1995.</mixed-citation>
</ref>
<ref id="ref43">
<label>43</label><mixed-citation publication-type="other" xlink:type="simple">McKerchar, A. I. and Pearson, C. P.: Maps of flood statistics for regional flood frequency analysis in New Zealand, Hydrolog. Sci., 35, 609–621, 1990.</mixed-citation>
</ref>
<ref id="ref44">
<label>44</label><mixed-citation publication-type="other" xlink:type="simple">McMahon, T. A. and Srikanthan, R.: Log Pearson&amp;nbsp;III distribution – is it applicable to flood frequency analysis of Australian streams?, J. Hydrol., 52, 139–147, 1981.</mixed-citation>
</ref>
<ref id="ref45">
<label>45</label><mixed-citation publication-type="other" xlink:type="simple">NERC – Natural Environment Research Council: Flood Studies Report, Vol.&amp;nbsp;I, Hydrological Studies, London, 1975.</mixed-citation>
</ref>
<ref id="ref46">
<label>46</label><mixed-citation publication-type="other" xlink:type="simple">Otten, A. and Van Montfort, M. A. J.: The power of two tests on the type of distribution of extremes, J. Hydrol., 37, 195–199, 1978.</mixed-citation>
</ref>
<ref id="ref47">
<label>47</label><mixed-citation publication-type="other" xlink:type="simple">Petit, F. and Pauquet, A.: Bankfull discharge recurrence interval in gravel-bed rivers, Earth Surf. Proc. Land., 22, 685–693, 1997.</mixed-citation>
</ref>
<ref id="ref48">
<label>48</label><mixed-citation publication-type="other" xlink:type="simple">Phien, H. N.: A review of methods of parameter estimation for the extreme value type-I distribution, J. Hydrol., 90, 251–268, 1987.</mixed-citation>
</ref>
<ref id="ref49">
<label>49</label><mixed-citation publication-type="other" xlink:type="simple">Reed, D. and Martin, J.: Flood Studies Update: A new look at flood estimation for Ireland, Proc.&amp;nbsp;of UNESCO International Hydrological Programme, OPW (Ireland), National Hydrology Seminar, 26–33, 2005.</mixed-citation>
</ref>
<ref id="ref50">
<label>50</label><mixed-citation publication-type="other" xlink:type="simple">Richards, K.: Rivers, Form and Process in Alluvial Channels, Methuen, 358 pp., 1982.</mixed-citation>
</ref>
<ref id="ref51">
<label>51</label><mixed-citation publication-type="other" xlink:type="simple">Sellin, R. H. J.: A laboratory investigation into the interaction between the flow in the channel of a river and that over its floodplain, La Houille Blanche, November, vol.&amp;nbsp;19, 793–801, 1964.</mixed-citation>
</ref>
<ref id="ref52">
<label>52</label><mixed-citation publication-type="other" xlink:type="simple">Subramanya, K.: Engineering Hydrology, McGraw-Hill Publishing, New Delhi, 1984.</mixed-citation>
</ref>
<ref id="ref53">
<label>53</label><mixed-citation publication-type="other" xlink:type="simple">Van Gelder, P. H. A. J. M.: Performance of parameter estimation techniques with inhomogeneous datasets of extreme water levels along the Dutch coast, Proceedings of the XXVIII&amp;nbsp;IAHR congress, Graz, Austria, CD-ROM, Abstract&amp;nbsp;174, 1–9, 1999.</mixed-citation>
</ref>
<ref id="ref54">
<label>54</label><mixed-citation publication-type="other" xlink:type="simple">Van Montfort, M. A. J.: On testing that the distribution of extremes is of type&amp;nbsp;I when type&amp;nbsp;II is the alternative, J. Hydrol., 11, 421–427, 1970.</mixed-citation>
</ref>
<ref id="ref55">
<label>55</label><mixed-citation publication-type="other" xlink:type="simple">Vogel, R. M. and Fennessey, N. M.: L&amp;nbsp;moment diagrams should replace product moment diagrams, Water Resour. Res., 29, 1745–1752, 1993.</mixed-citation>
</ref>
<ref id="ref56">
<label>56</label><mixed-citation publication-type="other" xlink:type="simple">White, W. B.: Karst hydrology: recent developments and open questions, Eng. Geol., 65, 85–105, 2002.</mixed-citation>
</ref>
<ref id="ref57">
<label>57</label><mixed-citation publication-type="other" xlink:type="simple">Williams, P. W.: Limestone morphology in Ireland, in: Irish Geographical Studies, edited by: Glasscock, R. and Stephens, N., Queen&apos;s University, Belfast, 105–124, 1970.</mixed-citation>
</ref>
<ref id="ref58">
<label>58</label><mixed-citation publication-type="other" xlink:type="simple">Wiltshire, S. W.: Regional flood frequency analysis&amp;nbsp;I: Homogeneity statistics, Hydrolog. Sci. J., 31, 321–333, 1986.</mixed-citation>
</ref>
<ref id="ref59">
<label>59</label><mixed-citation publication-type="other" xlink:type="simple">Wolff, C. G. and Burges, S. J.: An analysis of the influence of river channel properties on flood frequency, J. Hydrol., 153, 317–337, 1994.</mixed-citation>
</ref>
<ref id="ref60">
<label>60</label><mixed-citation publication-type="other" xlink:type="simple">Woltemade, C. J. and Potter, K. W.: A watershed modelling analysis of fluvial geomorphologic influences on flood peak attenuation, Water Resour. Res., 30, 1933–1942, 1994.</mixed-citation>
</ref>
<ref id="ref61">
<label>61</label><mixed-citation publication-type="other" xlink:type="simple">Zheleznyakov, G. V.: Relative deficit of mean velocity of instable river flow, kinematic effect in river beds with flood plains, Proceedings of the 11th&amp;nbsp;International congress of the Association for hydraulic research, Leningrad, USSR, 1965.</mixed-citation>
</ref>
<ref id="ref62">
<label>62</label><mixed-citation publication-type="other" xlink:type="simple">Zhou, W.: Drainage and flooding in karst terrains, Environ. Geol., 51, 963–973, 2007.</mixed-citation>
</ref>
</ref-list>
</back>
</article>