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<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-12-3091-2012</article-id>
<title-group>
<article-title>Rainfall intensity–duration thresholds for bedload transport initiation in small Alpine watersheds</article-title>
</title-group>
<contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Badoux</surname>
<given-names>A.</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>Turowski</surname>
<given-names>J. M.</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>Mao</surname>
<given-names>L.</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Mathys</surname>
<given-names>N.</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Rickenmann</surname>
<given-names>D.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
</contrib-group><aff id="aff1">
<label>1</label>
<addr-line>Swiss Federal Research Institute WSL, Zürcherstrasse 111, 8903 Birmensdorf, Switzerland</addr-line>
</aff>
<aff id="aff2">
<label>2</label>
<addr-line>Pontificia Universidad Católica de Chile, Department of Ecosystems and Environment, Av. Vicuña Mackenna 4860, Macul, Santiago, Chile</addr-line>
</aff>
<aff id="aff3">
<label>3</label>
<addr-line>Irstea, ETGR Research Unit, BP 76, 38402 Saint Martin d&apos;Hères, France</addr-line>
</aff>
<pub-date pub-type="epub">
<day>18</day>
<month>10</month>
<year>2012</year>
</pub-date>
<volume>12</volume>
<issue>10</issue>
<fpage>3091</fpage>
<lpage>3108</lpage>
<permissions>
<copyright-statement>Copyright: &#x000a9; 2012 A. Badoux 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://nhess.copernicus.org/articles/12/3091/2012/nhess-12-3091-2012.html">This article is available from https://nhess.copernicus.org/articles/12/3091/2012/nhess-12-3091-2012.html</self-uri>
<self-uri xlink:href="https://nhess.copernicus.org/articles/12/3091/2012/nhess-12-3091-2012.pdf">The full text article is available as a PDF file from https://nhess.copernicus.org/articles/12/3091/2012/nhess-12-3091-2012.pdf</self-uri>
<abstract>
<p>Although channel discharge represents one of the primary controls of bedload
transport rates in mountain streams, it is rarely measured in small, steep
catchments. Thus, it is often impossible to use it as a predictor of
hazardous bedload events. In this study, the characteristics of rainfall
events leading to bedload transport were investigated in five small Alpine
catchments located in different geographical and morphological regions of
Switzerland, Italy and France. Using rainfall data at high temporal
resolution, a total of 370 rainfall events were identified that led to
abundant sediment transport in the different catchments, and corresponding
threshold lines were defined using a power law in intensity–duration space.
Even though considerable differences in the distribution of the rainfall
data were identified between catchments located in various regions, the
determined threshold lines show rather similar characteristics.
&lt;br&gt;&lt;br&gt;
Such threshold lines indicate critical conditions for bedload transport
initiation, but rainfall events that do not cause transport activity (so
called no-bedload events) can still plot above them. With 0.67 overall in
the Erlenbach (Swiss Prealps) and 0.90 for long-duration, low-intensity
rainfall, the false alarm rate is considerable. However, for short-duration,
high-intensity events, it is substantially smaller (0.33) and comparable to
values determined in previous studies on the triggering of Alpine debris
flows. Our results support the applicability of a traditional, generalized
threshold for prediction or warning purposes during high-intensity rainfall.
Such (often convective) rainfall events are unfortunately (i) difficult to
measure, even by dense rain gauge networks, and (ii) difficult to accurately
predict, both due to their small spatial and temporal scales. Still, for the
protection of human life (e.g. along transportation infrastructure such as
roads and railway) automated alerts based on power law threshold lines may
be useful.</p>
</abstract>
<counts><page-count count="18"/></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">Anagnostou, E. N., Grecu, M., and Anagnostou, M. N.: X-band polarimetric radar rainfall measurements in keys area microphysics project, J. Atmos. Sci., 63,  187–203, 2006.</mixed-citation>
</ref>
<ref id="ref2">
<label>2</label><mixed-citation publication-type="other" xlink:type="simple">Antoine, P., Giraud, A., Meunier, M., and  VanAsch, T.: Geological and geotechnical properties of the &quot;Terres Noires&quot; in southeastern France: Weathering, erosion, solid transport and instability, Eng. Geol., 40, 223–234, 1995.</mixed-citation>
</ref>
<ref id="ref3">
<label>3</label><mixed-citation publication-type="other" xlink:type="simple">Bacchini, M. and Zannoni, A.: Relations between rainfall and triggering of debris-flow: case study of Cancia (Dolomites, Northeastern Italy), Nat. Hazards Earth Syst. Sci., 3, 71–79, &lt;a href=&quot;http://dx.doi.org/10.5194/nhess-3-71-2003&quot;&gt;https://doi.org/10.5194/nhess-3-71-2003&lt;/a&gt;, 2003.</mixed-citation>
</ref>
<ref id="ref4">
<label>4</label><mixed-citation publication-type="other" xlink:type="simple">Badoux, A., Graf, C., Rhyner, J., Kuntner, R., and McArdell, B. W.: A debris-flow alarm system for the Alpine Illgraben catchment: design and performance, Nat. Hazards, 49, 517–539, 2009.</mixed-citation>
</ref>
<ref id="ref5">
<label>5</label><mixed-citation publication-type="other" xlink:type="simple">Bathurst, J. C., Graf, W. H., and Cao, H. H.: Bed load discharge equations for steep mountain rivers, in: Sediment Transport in Gravel-bed Rivers, edited by: Thorne, C. R., Bathurst, J. C., and Hey, R. D., 453–477, John Wiley, New York, 1987.</mixed-citation>
</ref>
<ref id="ref6">
<label>6</label><mixed-citation publication-type="other" xlink:type="simple">Berti, M. and Simoni, A.: Experimental evidences and numerical modelling of debris flow initiated by channel runoff, Landslides, 2, 171–182, 2005.</mixed-citation>
</ref>
<ref id="ref7">
<label>7</label><mixed-citation publication-type="other" xlink:type="simple">Bezzola, G. R. and Hegg, C. (Eds.): Ereignisanalyse Hochwasser 2005, Teil 1 – Prozesse, Schäden und erste Einordnung, Umwelt-Wissen Nr. 0707, Bundesamt für Umwelt BAFU und Eidg. Forschungsanstalt WSL, Bern, 215 pp., 2007.</mixed-citation>
</ref>
<ref id="ref8">
<label>8</label><mixed-citation publication-type="other" xlink:type="simple">Blijenberg, H. M.: Rolling Stones? Triggering and frequency of hillsope debris flows in the Bachelard Valley, southern French Alps., University of Utrecht, Utrecht, The Netherlands, 223 pp., 1998.</mixed-citation>
</ref>
<ref id="ref9">
<label>9</label><mixed-citation publication-type="other" xlink:type="simple">Brardinoni, F. and Hassan, M. A.: Glacially-induced organization of channel-reach morphology in mountain streams, J. Geophys. Res., 112, F03013, &lt;a href=&quot;http://dx.doi.org/10.1029/2006JF000741&quot;&gt;https://doi.org/10.1029/2006JF000741&lt;/a&gt;, 2007.</mixed-citation>
</ref>
<ref id="ref10">
<label>10</label><mixed-citation publication-type="other" xlink:type="simple">Buffington, J. M. and Montgomery, D. R.: A systematic analysis of eight decades of incipient motion studies, with special reference to gravel-bedded rivers, Water Resour. Res., 33, 1993–2029, 1997.</mixed-citation>
</ref>
<ref id="ref11">
<label>11</label><mixed-citation publication-type="other" xlink:type="simple">Burch, H., Forster, F., and Schleppi, P.: Zum Einfluss des Waldes auf die Hydrologie der Flysch-Einzugsgebiete des Alptals, Schweizerische Zeitschrift für Forstwesen, 147, 925–938, 1996.</mixed-citation>
</ref>
<ref id="ref12">
<label>12</label><mixed-citation publication-type="other" xlink:type="simple">Ceriani, M., Lauzi, S., and Padovan, N.: Rainfalls and landslides in the alpine area of Lombardia region – Central Alps – Italy, in: Interpraevent 1992, 2, 9–20, Bern, 1992.</mixed-citation>
</ref>
<ref id="ref13">
<label>13</label><mixed-citation publication-type="other" xlink:type="simple">Chan, R. K. S. and Pun, W. K.: Landslip warning system in Hong Kong, Geotechnical News, 22, 33–34, 2004.</mixed-citation>
</ref>
<ref id="ref14">
<label>14</label><mixed-citation publication-type="other" xlink:type="simple">Deganutti, A. M., Marchi, L., and Arattano, M: Rainfall and debris-flow occurrence in the Moscardo basin (Italian Alps), in: Debris-Flow Hazards Mitigation: Mechanics, Prediction, and Assessment, edited by: Wieczorek, G. F. and Naeser, N. D., Balkema, Rotterdam, 67–72, 2000.</mixed-citation>
</ref>
<ref id="ref15">
<label>15</label><mixed-citation publication-type="other" xlink:type="simple">Diakakis, M.: Rainfall thresholds for flood triggering, The case of Marathonas in Greece, Nat. Hazards, 60, 789–800, 2012.</mixed-citation>
</ref>
<ref id="ref16">
<label>16</label><mixed-citation publication-type="other" xlink:type="simple">Gregoretti, C. and Dalla Fontana, G.: Rainfall threshold for the initiation of debris flows by channel-bed failure in the Dolomites, in: Debris-Flow Hazards Mitigation: Mechanics, Prediction, and Assessment, edited by: Chen, C. L. and Major, J. J., Millpress, Rotterdam, 11–22, 2007.</mixed-citation>
</ref>
<ref id="ref17">
<label>17</label><mixed-citation publication-type="other" xlink:type="simple">Gregoretti, C. and Dalla Fontana, G.: The triggering of debris flow due to channel-bed failure in some alpine headwater basins of the Dolomites: analyses of critical runoff, Hydrol. Process., 22, 2248–2263, &lt;a href=&quot;http://dx.doi.org/10.1002/hyp.6821&quot;&gt;https://doi.org/10.1002/hyp.6821&lt;/a&gt;, 2008.</mixed-citation>
</ref>
<ref id="ref18">
<label>18</label><mixed-citation publication-type="other" xlink:type="simple">Guzzetti, F., Peruccacci, S., Rossi, M., and Stark, C. P.: The rainfall intensity–duration control of shallow landslides and debris flows: an update, Landslides, 5, 3–17, 2008.</mixed-citation>
</ref>
<ref id="ref19">
<label>19</label><mixed-citation publication-type="other" xlink:type="simple">Hegg, C., McArdell, B. W., and Badoux, A.: One hundred years of mountain hydrology in Switzerland by the WSL, Hydrol. Process., 20, 371–376, 2006.</mixed-citation>
</ref>
<ref id="ref20">
<label>20</label><mixed-citation publication-type="other" xlink:type="simple">Hilker, N., Badoux, A., and Hegg, C.: The Swiss flood and landslide damage database 1972–2007, Nat. Hazards Earth Syst. Sci., 9, 913–925, &lt;a href=&quot;http://dx.doi.org/10.5194/nhess-9-913-2009&quot;&gt;https://doi.org/10.5194/nhess-9-913-2009&lt;/a&gt;, 2009.</mixed-citation>
</ref>
<ref id="ref21">
<label>21</label><mixed-citation publication-type="other" xlink:type="simple">Holub, M. and Hübl, J.: Local protection against mountain hazards – state of the art and future needs, Nat. Hazards Earth Syst. Sci., 8, 81–99, &lt;a href=&quot;http://dx.doi.org/10.5194/nhess-8-81-2008&quot;&gt;https://doi.org/10.5194/nhess-8-81-2008&lt;/a&gt;, 2008.</mixed-citation>
</ref>
<ref id="ref22">
<label>22</label><mixed-citation publication-type="other" xlink:type="simple">Johnson, K. A. and Sitar, N.: Hydrologic conditions leading to debris-flow initiation, Can. Geotech. J., 27, 789–801, 1990.</mixed-citation>
</ref>
<ref id="ref23">
<label>23</label><mixed-citation publication-type="other" xlink:type="simple">Keefer, D. K., Wilson, R. C., Mark, R. K., Brabb, E. E., Brown, W. M., Ellen, S. D., Harp, E. L., Wieczorek, G. F., Alger, C. S., and Zatkin, R. S.: Real-Time Landslide Warning During Heavy Rainfall, Science, 238, 921–925, 1987.</mixed-citation>
</ref>
<ref id="ref24">
<label>24</label><mixed-citation publication-type="other" xlink:type="simple">Lenzi, M. A.: Step–pool evolution in the Rio Cordon, northeastern Italy, Earth Surf. Proc. Landf., 26, 991–1008, 2001.</mixed-citation>
</ref>
<ref id="ref25">
<label>25</label><mixed-citation publication-type="other" xlink:type="simple">Lenzi, M. A., D&apos;Agostino, V., and Billi, P.: Bedload transport in the instrumented catchment of the Rio Cordon: Part I: Analysis of bedload records, conditions and threshold of bedload entrainment, Catena, 36, 171–190, 1999.</mixed-citation>
</ref>
<ref id="ref26">
<label>26</label><mixed-citation publication-type="other" xlink:type="simple">Lenzi, M. A., Mao, L., and Comiti, F.: Magnitude-frequency analysis of bed load data in an Alpine boulder bed stream, Water Resour. Res, 40, W07201, &lt;a href=&quot;http://dx.doi.org/10.1029/2003WR002961&quot;&gt;https://doi.org/10.1029/2003WR002961&lt;/a&gt;, 2004.</mixed-citation>
</ref>
<ref id="ref27">
<label>27</label><mixed-citation publication-type="other" xlink:type="simple">Lenzi, M. A., Mao, L., and Comiti, F.: Effective discharge for sediment transport in a mountain river: Computational approaches and geomorphic effectiveness, J. Hydrol., 326, 257–276, 2006.</mixed-citation>
</ref>
<ref id="ref28">
<label>28</label><mixed-citation publication-type="other" xlink:type="simple">Mao, L., Uyttendaele, G. P., Iroumé, A., and Lenzi, M. A.: Field based analysis of sediment entrainment in two high gradient streams located in Alpine and Andine environments, Geomorphology, 93, 368–383, 2008.</mixed-citation>
</ref>
<ref id="ref29">
<label>29</label><mixed-citation publication-type="other" xlink:type="simple">Mao, L., Cavalli, M., Comiti, F., Marchi, L., Lenzi, M. A., and Arattano, M.: Sediment transfer processes in two Alpine catchments of contrasting morphological settings, J. Hydrol., 364, 88–98, 2009.</mixed-citation>
</ref>
<ref id="ref30">
<label>30</label><mixed-citation publication-type="other" xlink:type="simple">Mao, L., Comiti, F., and Lenzi, M. A.: Bedload Dynamics in Steep Mountain Rivers: Insights from the Rio Cordon Experimental Station (Italian Alps), in: Bedload-surrogate monitoring technologies, edited by: Gray, J. R., Laronne, J. B., and Marr, J. D. G., 253–265, 2010.</mixed-citation>
</ref>
<ref id="ref31">
<label>31</label><mixed-citation publication-type="other" xlink:type="simple">Marchi, L., Borga, M., Preciso, E., and Gaume, E.: Characterisation of selected extreme flash floods in Europe and implications for flood risk management, J. Hydrol., 394, 118–133, 2010.</mixed-citation>
</ref>
<ref id="ref32">
<label>32</label><mixed-citation publication-type="other" xlink:type="simple">Mathys, N.: Analyse et modélisation à différentes échelles des mécanismes d&apos;érosion et de transport de matériaux solides, Cas des petits bassins versants de montagne sur marne (Draix, Alpes-de-Haute-Provence), PhD thesis, Grenoble Institute of Technology, Grenoble, France, 341 pp., 2006.</mixed-citation>
</ref>
<ref id="ref33">
<label>33</label><mixed-citation publication-type="other" xlink:type="simple">Mathys, N., Brochot, S., Meunier, M., and Richard, D.: Erosion quantification in the small marly experimental catchments of Draix (Alpes de Haute Provance, France), Calibration of the ETC rainfall-runoff-erosion model, Catena, 50, 527–548, 2003.</mixed-citation>
</ref>
<ref id="ref34">
<label>34</label><mixed-citation publication-type="other" xlink:type="simple">Mathys, N., Klotz, S., Esteves, M., Descroix, L., and Lapetite, J. M.: Runoff and erosion in the Black Marls of the French Alps: Observations and measurements at the plot scale, Catena, 63, 261–281, 2005.</mixed-citation>
</ref>
<ref id="ref35">
<label>35</label><mixed-citation publication-type="other" xlink:type="simple">Mathys, N., Esteves, M., and Gresillon, J. M.: The seasonal cycle of deposition and scouring in the channel network as a key process for erosion response in badlands catchments, (Draix, Alpes-de-Haute-Provence, France), Geophys. Res. Abstr., 9, 08654, SRef-ID: 1607-7962/gra/EGU2007-A-08654, EGU General Assembly 2007, Vienna, Austria, 2007.</mixed-citation>
</ref>
<ref id="ref36">
<label>36</label><mixed-citation publication-type="other" xlink:type="simple">McArdell, B. W. and Badoux, A.: Influence of rainfall on the initiation of debris flows at the Illgraben catchment, canton of Valais, Switzerland, Geophys. Res. Abstr., 9, 08804, SRef-ID: 1607-7962/gra/EGU2007-A-08804, EGU General Assembly 2007, Vienna, Austria, 2007.</mixed-citation>
</ref>
<ref id="ref37">
<label>37</label><mixed-citation publication-type="other" xlink:type="simple">Nitsche, M., Rickenmann, D., Turowski, J. M., Badoux, A., and Kirchner, J. W.: Evaluation of bedload transport predictions using flow resistance equations to account for macro-roughness in steep mountain streams, Water Resour. Res., 47, W08513, &lt;a href=&quot;http://dx.doi.org/10.1029/2011WR010645&quot;&gt;https://doi.org/10.1029/2011WR010645&lt;/a&gt;, 2011.</mixed-citation>
</ref>
<ref id="ref38">
<label>38</label><mixed-citation publication-type="other" xlink:type="simple">Rickenmann, D.: Bedload transport capacity of slurry flows at steep slopes. Mitteilungen der Versuchsanstalt für Wasserbau, Hydrologie und Glaziologie Nr. 103, Eidgenössische Technische Hochschule Zürich, Zurich, Switzerland, 1990.</mixed-citation>
</ref>
<ref id="ref39">
<label>39</label><mixed-citation publication-type="other" xlink:type="simple">Rickenmann, D.: Sediment transport in Swiss torrents, Earth Surf. Proc. Landf., 22, 937–951, 1997.</mixed-citation>
</ref>
<ref id="ref40">
<label>40</label><mixed-citation publication-type="other" xlink:type="simple">Rickenmann, D. and Fritschi, B.: Bedload transport measurements using piezoelectric impact sensors and geophones, in: Bedload-surrogate Monitoring Technologies, edited by: Gray, J. R., Laronne, J. B., and Marr, J. D. G., US Geological Survey Scientific Investigations Report 2010–5091, US Geological Survey, Reston, VA, 407–423, available at: &lt;a href=&quot;http://pubs.usgs.gov/sir/2010/5091/papers/listofpapers.html&quot;&gt;http://pubs.usgs.gov/sir/2010/5091/papers/listofpapers.html&lt;/a&gt; (last access: 30 July 2012), 2010.</mixed-citation>
</ref>
<ref id="ref41">
<label>41</label><mixed-citation publication-type="other" xlink:type="simple">Rickenmann, D. and Koschni, A.: Sediment loads due to fluvial transport and debris flows during the 2005 flood events in Switzerland, Hydrol. Process., 24, 993–1007, 2010.</mixed-citation>
</ref>
<ref id="ref42">
<label>42</label><mixed-citation publication-type="other" xlink:type="simple">Rickenmann, D. and McArdell, B. W.: Continuous measurement of sediment transport in the Erlenbach stream using piezoelectric bedload impact sensors, Earth Surf. Proc. Landf., 32, 1362–1378, 2007.</mixed-citation>
</ref>
<ref id="ref43">
<label>43</label><mixed-citation publication-type="other" xlink:type="simple">Rickenmann, D. and McArdell, B. W.: Calibration of piezoelectric bedload impact sensors in the Pitzbach mountain stream, Geodin. Acta, 21, 35–52, 2008.</mixed-citation>
</ref>
<ref id="ref44">
<label>44</label><mixed-citation publication-type="other" xlink:type="simple">Rickenmann, D., Turowski, J. M., Fritschi, B., Klaiber, A., and Ludwig, A.: Bedload transport measurements at the Erlenbach stream with geophones and automated basket samplers, Earth Surf. Proc. Landf., 37, 1000–1011, &lt;a href=&quot;http://dx.doi.org/10.1002/esp.3225&quot;&gt;https://doi.org/10.1002/esp.3225&lt;/a&gt;, 2012.</mixed-citation>
</ref>
<ref id="ref45">
<label>45</label><mixed-citation publication-type="other" xlink:type="simple">Rickli, C., Raetzo, H., McArdell, B. W., and Presler, J.: Hanginstabilitäten, in: Ereignisanalyse Hochwasser 2005, Teil 2 – Analyse von Prozessen, Massnahmen und Gefahrengrundlagen, edited by: Bezzola, G. R. and Hegg, C., 97–116, Umwelt-Wissen Nr. 2508, Bundesamt für Umwelt BAFU und Eidg. Forschungsanstalt WSL, Bern, 2008.</mixed-citation>
</ref>
<ref id="ref46">
<label>46</label><mixed-citation publication-type="other" xlink:type="simple">Turowski, J. M.: Discussion of &quot;Can we link cause and effect in landscape evolution&quot; by T. Coulthard and M. Van De Wiel, in: Gravel Bed Rivers: Processes, tools, environments, edited by: Church, M., Biron, P., and Roy, A., John Wiley and Sons, Chichester, 518–520, 2012.</mixed-citation>
</ref>
<ref id="ref47">
<label>47</label><mixed-citation publication-type="other" xlink:type="simple">Turowski, J. M. and Rickenmann, D.: Tools and cover effects in bedload transport observations in the Pitzbach, Austria, Earth Surf. Proc. Landf., 34, 26–37, &lt;a href=&quot;http://dx.doi.org/10.1002/esp.1686&quot;&gt;https://doi.org/10.1002/esp.1686&lt;/a&gt;, 2009.</mixed-citation>
</ref>
<ref id="ref48">
<label>48</label><mixed-citation publication-type="other" xlink:type="simple">Turowski, J. M., Yager, E. M., Badoux, A., Rickenmann, D., and Molnar, P.: The impact of exceptional events on erosion, bedload transport and channel stability in a step-pool channel, Earth Surf. Proc. Landf., 34, 1661–1673, &lt;a href=&quot;http://dx.doi.org/10.1002/esp.1855&quot;&gt;https://doi.org/10.1002/esp.1855&lt;/a&gt;, 2009.</mixed-citation>
</ref>
<ref id="ref49">
<label>49</label><mixed-citation publication-type="other" xlink:type="simple">Turowski, J. M., Badoux, A., and Rickenmann, D.: Start and end of bedload transport in gravel-bed streams, Geophys. Res. Lett., 38, L04401, &lt;a href=&quot;http://dx.doi.org/10.1029/2010GL046558&quot;&gt;https://doi.org/10.1029/2010GL046558&lt;/a&gt;, 2011.</mixed-citation>
</ref>
<ref id="ref50">
<label>50</label><mixed-citation publication-type="other" xlink:type="simple">Zimmermann, M., Mani, P., Gamma, P., Gsteiger, P., Heiniger, O., and Hunziker, G.: Murganggefahr und Klimaänderung – ein GIS-basierter Ansatz (Schlussbericht NFP31), vdf Hochschulverlag, Zurich, Switzerland, 1997.</mixed-citation>
</ref>
</ref-list>
</back>
</article>