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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-23-343-2023</article-id><title-group><article-title>Assessing the relationship between weather conditions and rockfall using terrestrial laser scanning to improve risk management</article-title><alt-title>Weather conditions, rockfalls and risk management​​​​​​​</alt-title>
      </title-group><?xmltex \runningtitle{Weather conditions, rockfalls and risk management​​​​​​​}?><?xmltex \runningauthor{T. Birien and F. Gauthier}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes">
          <name><surname>Birien</surname><given-names>Tom</given-names></name>
          <email>tom_birien@uqar.ca</email>
        </contrib>
        <contrib contrib-type="author" corresp="no">
          <name><surname>Gauthier</surname><given-names>Francis</given-names></name>
          
        </contrib>
        <aff id="aff1"><institution>Centre d'étude nordiques (CEN), Laboratoire de
géomorphologie et de gestion des risques en montagne (LGGRM),
Université du Québec à Rimouski (UQAR), Rimouski, Canada</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Tom Birien (tom_birien@uqar.ca)</corresp></author-notes><pub-date><day>27</day><month>January</month><year>2023</year></pub-date>
      
      <volume>23</volume>
      <issue>1</issue>
      <fpage>343</fpage><lpage>360</lpage>
      <history>
        <date date-type="received"><day>11</day><month>May</month><year>2022</year></date>
           <date date-type="rev-request"><day>16</day><month>May</month><year>2022</year></date>
           <date date-type="rev-recd"><day>3</day><month>October</month><year>2022</year></date>
           <date date-type="accepted"><day>21</day><month>November</month><year>2022</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2023 Tom Birien</copyright-statement>
        <copyright-year>2023</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://nhess.copernicus.org/articles/23/343/2023/nhess-23-343-2023.html">This article is available from https://nhess.copernicus.org/articles/23/343/2023/nhess-23-343-2023.html</self-uri><self-uri xlink:href="https://nhess.copernicus.org/articles/23/343/2023/nhess-23-343-2023.pdf">The full text article is available as a PDF file from https://nhess.copernicus.org/articles/23/343/2023/nhess-23-343-2023.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d1e87">Since 1987, more than 13 200 rockfalls have been inventoried by the ministère des Transports du Québec (MTQ) as having impacted the national road Route 132 in northern Gaspésie. This natural hazard represents a nearly
permanent danger for road users. Traditional mitigation measures can be
ineffective on poorly consolidated, deformed and highly fractured rockwalls
such as those found in northern Gaspésie. To address this issue,
implementing preventive risk management based on the factors that trigger
rock instabilities could be the most effective method. Earthquake, rainfall
and freeze–thaw cycles are commonly considered to be the main rockfall-triggering factors. This study aims to better understand the climatic
conditions conducive to rockfalls in northern Gaspésie in order to
provide knowledge to implement an appropriate risk management strategy.
Three rockwalls were scanned with terrestrial laser scanning (TLS) instruments during
specific pre-targeted weather conditions. Over a period of 18 months, 17
surveys have allowed us to identify 1287 rockfalls with a magnitude above
0.005 m<inline-formula><mml:math id="M1" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> on a scanned surface of 12 056 m<inline-formula><mml:math id="M2" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>.
In addition, meteorological instruments and a 550 cm thermistor string have been installed directly on a vertical rockwall. It appears that some weather conditions influence the occurrence, frequency and magnitude of rockfalls. In winter, rockfall frequency is 12 times higher during a superficial thaw than
during a cold period in which temperature remains below 0 <inline-formula><mml:math id="M3" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C. In
summer, rockfall frequency is 22 times higher during a heavy rainfall event
than during a mainly dry period. Superficial freeze–thaw cycles (<inline-formula><mml:math id="M4" display="inline"><mml:mo lspace="0mm">&lt;</mml:mo></mml:math></inline-formula> 50 cm) cause mostly a high frequency of small-magnitude events, while deeper spring thaw (<inline-formula><mml:math id="M5" display="inline"><mml:mo lspace="0mm">&gt;</mml:mo></mml:math></inline-formula> 100 cm) results in a high frequency of large-magnitude events. The influence of weather conditions on rockfall frequency and magnitude is crucial in order to improve risk management, since large-magnitude events represent higher potential hazards. This study provides a classification of weather conditions based on their ability to trigger rockfalls of different magnitudes. This knowledge could be used to implement a risk management strategy.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e140">Rockfall is hillslope movement in which blocks detach from the surface of
rocky escarpments (Budetta, 2004; Michoud et al.,
2012; Piteau and Peckover, 1978; Selby, 1993). Rock mass properties, such as
lithology, degree of alteration, discontinuity network characteristics and
slope, are predisposing factors in the occurrence, magnitude and failure
mode (e.g. planar, wedge or toppling) of rock instabilities
(e.g. Selby, 1993; Turner and Schustler, 1996). Although they are spontaneous, rockfalls result from the long-term interaction of a series of processes (Birien and Gauthier, 2022; Schovanec, 2020). They never result solely from the latest visible change (Draebing
and Krautblatter, 2019; Gunzburger et al., 2005). Many factors can
contribute to the development of rock instabilities, but two recur
in the literature: precipitation and freeze–thaw cycles (e.g.
Collins and Stock, 2016; Coutard and Francou, 1989; D'Amato et al., 2016;
Hungr et al., 1999; Matsuoka and Sakai, 1999; Rapp, 1960; Wieczorek and
Jäger, 1996).</p>
      <p id="d1e143">While there is consensus in the literature on the influence of
meteorological variables on rockfall, quantifying their respective roles is
often difficult because they are challenging to differentiate
(Schovanec, 2020). Studies of rockwall dynamics have
long been complicated by the poor accessibility and dangerous nature of terrain (Abellán et al., 2014). The
recent development of remote sensing techniques, particularly lidar (light
detection and ranging), has considerably improved our ability to study
rockwall dynamics (Abellán
et al., 2014; Guerin et al., 2014; van Veen et al., 2017). Terrestrial laser
scanning (TLS) makes it possible to carry out topographical surveys of vast
areas with good accuracy and very high resolution (Abellán
et al., 2014; Santana et al., 2012; Williams et al., 2018). By comparing the
point clouds from several surveys, rock instabilities that occurred between
the surveys (e.g. van Veen et al., 2017) and developing future instabilities
(e.g. Kromer et al., 2018; Oppikofer et al., 2008, 2009; Royán et al., 2014) can be identified.</p>
      <p id="d1e146">Given the unpredictability of rock instabilities, evasive action is near
impossible when an event occurs (Volkwein et al., 2011). Rockfall is a daily occurrence in mountainous areas (Dorren, 2003; Laliberté et al.,
2022). The literature describes many examples of the resulting
infrastructure damage and human mortality (e.g.
Badger and Lowell, 1992; Badoux et al., 2016; Bunce et al., 1997; Chau et
al., 2003; Hilker et al., 2009; Porter and Orombelli, 1980). To reduce this
risk to infrastructure and human life, a better understanding of this hazard
is needed (Dorren, 2003; Erismann and Abele, 2001). TLS is a key tool in achieving that objective. It can help identify unstable rockwall portions that require monitoring (e.g.
Kromer et al., 2018; Oppikofer et al., 2008; Royán et al., 2014) and
improve our understanding of rockfall-triggering factors (e.g.
Kromer et al., 2018; Oppikofer et al., 2008; Royán et al., 2014).</p>
      <p id="d1e149">This study looks at the influence of weather conditions on the rockfall
dynamics in Haute-Gaspésie (Quebec, Canada). Composed of Cloridorme
Formation sedimentary rock (flysch) (Slivitzky et al., 1991),
these rockwalls are poorly consolidated, deformed and highly fractured.
Weidner and Walton (2021) showed that in similar
geology in Colorado, mitigation activities including mechanical scaling,
stabilization with reinforcement rock bolts, wire mesh installation and
polyurethane resin injections could be ineffective. They even observed a
higher frequency of rockfall after mitigation measures were implemented.
Some measures, such as mechanical scaling, were unsuited to highly altered
rockwalls. Following scaling operations, the newly exposed rockwall could be
just as altered and unstable as the previously exposed surfaces. Traditional
mitigation measures are ineffective on low- and moderate-magnitude (<inline-formula><mml:math id="M6" display="inline"><mml:mo lspace="0mm">&lt;</mml:mo></mml:math></inline-formula> 1 m<inline-formula><mml:math id="M7" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula>) instabilities, which correspond to the magnitude of
instabilities caused by weather processes (Weidner
and Walton, 2021; Wyllie and Mah, 2004). For highly altered rockwalls such
as those found in Haute-Gaspésie, implementing hazard mitigation methods
based on the factors that trigger rock instabilities could therefore be the
most effective method of limiting hazards associated with rockfall
(Laliberté et al., 2022).</p>
      <p id="d1e169">Recent literature illustrates significant advances in our understanding of
the impact of weather variables on rockfall (D'Amato
et al., 2016; Delonca et al., 2014; Macciotta et al., 2015; Matsuoka, 2019;
Pratt et al., 2019; Ravanel and Deline, 2011; Weidner and Walton, 2021). The
primary objective of our study is to strengthen this knowledge for a
geological context neglected by the literature and fill in its main gaps:
<list list-type="bullet"><list-item>
      <p id="d1e174">Lidar data make it possible to accurately quantify rock instabilities, but
they are not always linked to suitable weather data. For example,
freeze–thaw cycles are often derived from air temperature without
consideration of the influence of solar radiation, even on south-facing
rockwalls (e.g. Weidner and Walton, 2021).
Furthermore, air temperature provides no insight into the freezing-front depth in
the rock. This makes it difficult to relate spring thaw to the rockfalls
that occur (e.g. Macciotta et al., 2015).</p></list-item><list-item>
      <p id="d1e178">The relationship between rock instabilities and weather conditions is often studied at the monthly or seasonal scale (e.g. Kromer
et al., 2018; Macciotta et al., 2017). While this temporality can reveal
interesting trends, it cannot differentiate the respective impacts of
different meteorological events on rockfall dynamics. For example, on a
monthly scale, the respective roles of precipitation events and freeze–thaw
cycles cannot be easily distinguished, since their occurrences can overlap.
Consequently, this temporality is not useful in the preventive hazard
management of rock instability triggers.</p></list-item><list-item>
      <p id="d1e182">Many studies have highlight the strong relationship between rockfall frequency and magnitude (e.g.
Guerin et al., 2014, 2020; Rosser et al., 2005; Santana et al., 2012;
van Veen et al., 2017; Williams et al., 2018). However, studies into the
influence of weather variables on rockwall dynamics focus almost exclusively
on rockfall frequency. One exception is Matsuoka (2019), who investigated
the relationship between weather conditions and rockfall magnitude. In order
to mitigate the risk, the relationship between the magnitude of rock
instabilities and their triggering factors is an essential area of study,
since the damage caused by instabilities is proportional to their magnitude.</p></list-item></list>
Our study therefore aims to link rockfall dynamics to specific adequately
measured weather conditions. We use TLS to quantify the frequency and
magnitude of rock instabilities for each targeted weather condition. We also
propose a classification of weather conditions based on their level of
concern for preventive hazard management.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Study sites</title>
      <p id="d1e194">In Haute-Gaspésie, Route 132 is the sole transportation corridor linking
a number of villages to the rest of the region. For the local population, it
is critical infrastructure for accessing essential services. The national
road runs along the Gulf of Saint Lawrence shoreline and is subject to coastal
flooding and erosion (e.g Drejza et al., 2019). The rockwalls
that tower above the road expose it to other natural hazards: snow
avalanches (Fortin et al., 2011; Hétu, 2007), falling ice blocks
(Gauthier et al., 2015, 2017), debris flows (Fortin et al., 2015) and rockfall.
Those same rockwalls make moving the roadway inland from the shore
unfeasible. To limit risk to road users, the ministère des Transports du Québec (Ministry of Transport, MTQ) created a 24/7 patrol to
monitor the 70 km of national road that runs along the rockwall of
Gaspé's uplands. The patrol is also responsible for clearing the road
when it is obstructed by rock, snow or ice from hillslope movements. Between
1987 and 2020, the patrol responded to 13 261 rockfall events along the
25 km where rockwalls overhang Route 132, or 16 rockfalls yr<inline-formula><mml:math id="M8" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> km<inline-formula><mml:math id="M9" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (Ministère des Transports du Québec, 2021).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><?xmltex \currentcnt{1}?><?xmltex \def\figurename{Figure}?><label>Figure 1</label><caption><p id="d1e223">Location of the three study sites (MAR, GMO, MAE), of the rain and
snow gauge (white star), and of the thermistor strings that measured the
temperature to a depth of 550 cm (white circle). The red line is for the
exposed-to-rockfalls Route 132.</p></caption>
        <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://nhess.copernicus.org/articles/23/343/2023/nhess-23-343-2023-f01.jpg"/>

      </fig>

      <p id="d1e232">Lidar was used to monitor three rockwalls (Figs. 1, A1 and A2) that overhang Route 132 in
Haute-Gaspésie. From east to west, the sites are near the villages of
Manche-d'Épée (MAE), Gros-Morne (GMO) and Marsoui (MAR). The total
area scanned was 12 056 m<inline-formula><mml:math id="M10" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>. Rockwalls were selected using five
criteria: (1) structural and lithologic characteristics representative of
Haute-Gaspésie rockwalls, (2) frequent rockfall incursions onto the
national road, (3) year-round accessibility, (4) general morphology
(verticality, height) and microtopography (roughness) compatible with lidar
acquisition from the national road, and (5) absence of vegetation (occlusion)
and drainage (signal reflection). The three sites are sedimentary rockwalls
(flysch) with horizontal or subhorizontal bedding planes. The easternmost
study site, MAE, covers an area of 3154 m<inline-formula><mml:math id="M11" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>. It has a vertical
(<inline-formula><mml:math id="M12" display="inline"><mml:mo lspace="0mm">&gt;</mml:mo></mml:math></inline-formula> 80<inline-formula><mml:math id="M13" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>) natural rockwall that is 35 m high and is
oriented north (350<inline-formula><mml:math id="M14" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>). It rises over an unvegetated 30 m long
scree slope with an average gradient of 38<inline-formula><mml:math id="M15" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>. The rockwall is
primarily composed of siltstone (50 %), shale (30 %) and greywacke
(20 %). Rockfall of greywacke blocks is most likely to reach the national
road, which runs about 10 m from the base of the scree slope. GMO is a
rockwall with alternating spurs and re-entrants. On that site, three rock
spurs with a total area of 5370 m<inline-formula><mml:math id="M16" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> were scanned, most of which were dynamited. The orientation of the spurs ranges from 330 to
20<inline-formula><mml:math id="M17" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>, and their gradients range between 70 and
90<inline-formula><mml:math id="M18" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>. Their bases do not have scree slopes, and rockfall regularly
reaches the national road. Only the lower 25 m of the three spurs was
scanned to limit occlusion as much as possible. The rock spurs are composed
of greywacke (50 %), siltstone (40 %) and shale (10 %). Lastly, MAR is a vertical (90<inline-formula><mml:math id="M19" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>) dynamited rockwall composed primarily of
sandstone (70 %), siltstone (20 %) and shale (10 %). The thickness of
the siltstone strata tends to result in decimeter-sized instabilities. Since
the national road runs right along the base of the rockwall (no scree slope
is present), these instabilities regularly reach the roadway. However, its
low height (<inline-formula><mml:math id="M20" display="inline"><mml:mo lspace="0mm">&lt;</mml:mo></mml:math></inline-formula> 30 m) and verticality limit the distance of rockfall
travel from the rockwall.</p>
      <p id="d1e332">Haute-Gaspésie has a humid continental climate with short cool summers,
according to the Köppen climate classification system
(Beck et al., 2018). During the period
1991–2020, it had an annual mean temperature of 3.9 <inline-formula><mml:math id="M21" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C. The mean
temperatures of the warmest (July) and coldest (January) months were
16.3 and <inline-formula><mml:math id="M22" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>9.2 <inline-formula><mml:math id="M23" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, respectively. Over that same 30 years, average annual precipitation was 888 mm, 33 % of which fell as snow
(Environment Canada, 2021).</p>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Methods</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Rockfall detection using TLS</title>
      <p id="d1e375">Over the 554 d period from 14 June 2019 to 18 December 2020, 17 lidar
surveys were performed. Two TLS instruments were used for data acquisition. The four
first surveys used a Leica Geosystems ScanStation C10. A RIEGL VZ-400i was
used for the 13 subsequent surveys. To obtain dense point clouds with the
fewest possible occlusions, multiple surveys were conducted to adequately
cover the scanned surfaces at each site (Fig. 2a
and b). Depending on site morphology and surface area, four to twelve
360<inline-formula><mml:math id="M24" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> surveys were needed. The resulting point clouds were
processed in the Cyclone 2.5 software. For each date, all these point clouds
have been assembled together by a visual alignment using the “2D Scan
Thumbnails” tool. Then, the point clouds were optimized using the
“point clouds autocorrelation” tool. This method allows us to minimize the
number of occlusions and to produce point clouds with a centimeter-level
density for each survey (Fig. 2c and d). The same
strategy was used to align the point clouds corresponding to the different
dates of acquisition. For each of these dates, we have measured the surface
differences between the cloud points using the M3C2 plugin of the open-source free software CloudCompare v2.12.4 (Lague et al., 2013).
The M3C2 algorithm operates directly on point clouds without meshing or
gridding and computes the local distance between cloud points along the
normal surface direction which tracks 3D variations in surface orientation.
Because it considers the surface roughness, this algorithm is particularly
accurate for measuring small surface changes, and so, it is suitable for comparing
rockwall surfaces (Lague et al., 2013).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><?xmltex \currentcnt{2}?><?xmltex \def\figurename{Figure}?><label>Figure 2</label><caption><p id="d1e389">Protocol used to identify and quantify rockfalls from point
clouds.</p></caption>
          <?xmltex \igopts{width=355.659449pt}?><graphic xlink:href="https://nhess.copernicus.org/articles/23/343/2023/nhess-23-343-2023-f02.png"/>

        </fig>

      <p id="d1e398">Once the surface differences between each survey had been calculated, we
quantified the rockfall volumes between these periods
(Fig. 2e). Each significative negative change was
isolated from the whole point clouds and then, the 2.5D volume calculation
method was applied to compute its volume.
Štroner et al. (2019) have compared this
method, also available in CloudCompare, with software solutions using point
clouds capable of calculating volume (Atlas DMT, 3DReshaper, Leica Cyclone
and Trimble RealWorks). They have proven than the 2.5D volume calculation
method provides results identical to those computed by the best commercial
solutions and has a much better time demand <inline-formula><mml:math id="M25" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> accuracy ratio
(Štroner et al., 2019). Finally, to avoid
misinterpretation of rockfall volumes with, for example, wind deflation of
snow or the presence of vegetation, we have focused the analyses on
vegetation-free cliff sections. A visual examination of the shape of each of
the quantified volumes also helped to minimize interpretation errors
(van Veen et al., 2017).</p>
</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Protocol to monitor the influence of weather conditions on rockfalls</title>
      <p id="d1e416">To study the influence of weather conditions on rockfall frequency and
magnitude, sufficiently high spatial resolution is needed to identify all
events at the lowest quantified magnitude
(Abellán et al., 2014). Nevertheless,
small-scale rockfalls can be difficult to distinguish from other processes
such as wind deflation of snow over the rock slope surfaces. In order to
avoid misinterpretation, a threshold of 10 cm for negative change has been
determined and the scarce areas where vegetation is present were excluded from
the studied areas. Ultimately, this method allows exhaustive detection of
rockfalls larger than 0.005 m<inline-formula><mml:math id="M26" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula>.</p>
      <p id="d1e428">Regarding the temporal resolution, Barlow et al. (2012) showed that a 19-month interval
between surveys leads to an underestimation of small-scale events. With
overly long intervals, several distinct but spatially overlapping events can
be erroneously interpreted as a single larger-scale event. Williams et al. (2018) compared rockfall frequencies
detected at temporal resolutions of 1 h and of 30 d. They found that
the number of low-magnitude events (<inline-formula><mml:math id="M27" display="inline"><mml:mo lspace="0mm">&lt;</mml:mo></mml:math></inline-formula> 0.1 m<inline-formula><mml:math id="M28" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula>) detected was
3 orders of magnitude greater at a temporal resolution of 1 h.
However, to achieve this high temporal resolution, a fixed scanner is
required. This leads to other issues, such as greater occlusion on the
rockwall surface and more limited scanned areas. Barlow et al. (2012) showed that while environmental
factors influence rockfall, defining a constant frequency is not necessary
for data acquisition. Lidar surveys must be more frequent during periods
when a greater rock instability frequency is expected. Conversely, intervals
between surveys can be longer during periods with a lower rockfall
frequency. The protocol we implemented was designed to limit the scanning
effort by targeting selected periods rather than performing regular scans.
This resulted in an inconsistent survey frequency that is justified by the
influence of weather conditions on rockfalls. The scanning periods were
selected based on knowledge of the weather conditions that cause major rock
surface deformations and are likely to result in rockfall
(Birien and Gauthier, 2022). Target periods could run over
several dozen days (dry period, rainy period, autumn period with near-daily
freeze–thaw cycles and cold winter period) or monitor specific
meteorological events (heavy and high-intensity rainfall; winter freeze–thaw
cycles; and spring surface, 1 m deep and full rockwall thaws).</p>
      <p id="d1e447">The periods to scan were determined over the course of the study using
Environment Canada weather forecasts and then validated with local weather
measurements. A Campbell TE525WS-L rain gauge was used to measure
precipitation (mm). In winter, it was equipped with a CS705 adapter to
measure the water equivalent of solid precipitation. A thermistor string
(with a GeoPrecision data logger operating at 915 MHz) inserted into a
horizontal borehole measured the temperature (<inline-formula><mml:math id="M29" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C) every 30 cm to
a depth of 550 cm. Using linear interpolation between the thermistors, we
produced a temperature profile at different depths over time, quantified the
number and depth of freeze–thaw cycles, and tracked the depth of the freezing
front in winter and the thawing front in spring. All weather instruments
took data readings every 15 min. The instrumented rockwall is located
200 m west of the study site GMO (49<inline-formula><mml:math id="M30" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>15<inline-formula><mml:math id="M31" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula>21.0<inline-formula><mml:math id="M32" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>′</mml:mo><mml:mo>′</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula> N, 65<inline-formula><mml:math id="M33" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>33<inline-formula><mml:math id="M34" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula>52.2<inline-formula><mml:math id="M35" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>′</mml:mo><mml:mo>′</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula> W), and the precipitation data come from a weather station located
in a roadside rest area along the Gulf of the Saint Lawrence (49<inline-formula><mml:math id="M36" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>13<inline-formula><mml:math id="M37" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula>49.92<inline-formula><mml:math id="M38" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>′</mml:mo><mml:mo>′</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula> N, 65<inline-formula><mml:math id="M39" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>51<inline-formula><mml:math id="M40" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula>3.53<inline-formula><mml:math id="M41" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>′</mml:mo><mml:mo>′</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula> W​​​​​​​) (Fig. 1).</p>
      <p id="d1e581">Finally, the rockfall spatial distribution as well as its frequency and the
rock slopes erosion rates is presented individually for the three study
sites, but the influence of weather conditions is based on the whole rockfall
database. This approach has proved necessary to avoid misinterpretation of
the occurrence or non-occurrence of events during short microclimatic
periods (e.g. heavy and high-intensity rainfall or winter freeze–thaw
cycles). Monitoring over a longer period would make it possible to establish
links between the meteorological conditions and the geological and
structural context of each of the studied rock slopes.</p>
</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Hazard assessment</title>
      <p id="d1e592">Lidar surveys make it possible to quantify rockfall frequency and to
calculate the individual volume of rockfalls. Based on these data, we can study the
influence of different weather scenarios on rockfall magnitude. Because a
high frequency of high-magnitude events does not have the same significance
as a high frequency of low-magnitude events, the magnitude of rockfalls is a
major issue for risk management. Following this precept, we have grouped and
classified the nine main weather scenarios in a matrix according to their
ability to trigger rockfalls of different magnitudes. This matrix is
composed of three magnitude classes (“low”, “intermediate” and “high”)
and five frequency classes from “low” to “extreme”. This table provides
a classification of weather conditions based on their ability to trigger
rockfalls of different magnitudes. This knowledge could be used to implement
a risk management strategy based on triggering factors.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><?xmltex \currentcnt{3}?><?xmltex \def\figurename{Figure}?><label>Figure 3</label><caption><p id="d1e597">Relationship between rockfall occurrence and magnitude <bold>(a)</bold> and between cumulative daily rockfall frequency and magnitude <bold>(b)</bold>.</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://nhess.copernicus.org/articles/23/343/2023/nhess-23-343-2023-f03.png"/>

        </fig>

</sec>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Results</title>
<sec id="Ch1.S4.SS1">
  <label>4.1</label><title>Frequency–magnitude</title>
      <p id="d1e628">Over the study period, 1287 rockfalls over 0.005 m<inline-formula><mml:math id="M42" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> in volume were
identified and their volumes measured. Rockfall frequency decreased rapidly
with magnitude (Fig. 3a). The frequency–magnitude curves generally fit a power law (Guerin
et al., 2014, 2020; Hungr et al., 1999; Rosser et al., 2005; Santana et al.,
2012; van Veen et al., 2017; Williams et al., 2018). In this case, it can be
defined as
            <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M43" display="block"><mml:mrow><mml:mi>f</mml:mi><mml:mfenced close=")" open="("><mml:mi>V</mml:mi></mml:mfenced><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.0168</mml:mn><mml:msup><mml:mi>V</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.06</mml:mn></mml:mrow></mml:msup><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          where <inline-formula><mml:math id="M44" display="inline"><mml:mrow><mml:mi>f</mml:mi><mml:mo>(</mml:mo><mml:mi>V</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is the mean daily frequency of rockfalls with a volume greater
than or equal to <inline-formula><mml:math id="M45" display="inline"><mml:mi>V</mml:mi></mml:math></inline-formula> over the entire study period for the
12 056 m<inline-formula><mml:math id="M46" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> of scanned rockwalls. This frequency is the
equivalent of 2.2 rockfalls d<inline-formula><mml:math id="M47" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> for events greater than or equal
to 0.01 m<inline-formula><mml:math id="M48" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula>, 0.2 rockfalls d<inline-formula><mml:math id="M49" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> for events
greater than or equal to 0.1 m<inline-formula><mml:math id="M50" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula>, and 0.02 rockfalls d<inline-formula><mml:math id="M51" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> for events greater than or equal to 1.0 m<inline-formula><mml:math id="M52" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula>. A total of 69
rockfalls have a volume higher than 0.15 m<inline-formula><mml:math id="M53" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> (i.e. 5.3 %
of the total), of which 17 have a volume higher than 0.5 m<inline-formula><mml:math id="M54" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> (i.e. 1.3 % of the total) and 7 have a volume higher than 1 m<inline-formula><mml:math id="M55" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> (i.e. 0.5 % of the total)
(Fig. 3). Where the frequency or spatial resolution of the lidar surveys is insufficient, low-magnitude instabilities are underrepresented (Barlow
et al., 2012; Guerin et al., 2014; Malamud et al., 2004). The absence of a
rollover in the logarithmic frequency–magnitude distribution obtained in
this study makes it possible to validate whether a suitable instability
detection threshold was chosen (Fig. 3b). This
result confirms that the selected survey frequency and spatial resolution
were appropriate for individually identifying the large majority of events
with a volume exceeding 0.005 m<inline-formula><mml:math id="M56" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula>.</p>
</sec>
<sec id="Ch1.S4.SS2">
  <label>4.2</label><title>Global rockwall erosion rate</title>
      <p id="d1e804">The annual rockwall erosion rates and the rockfall frequency were calculated
using the entire 554 d time series of two summers and two autumns but only
one winter and one spring series. The 1287 recorded rockfalls were distributed
across the three study sites as follows: 363 at MAE, 486 at GMO and 438 at
MAR. Figures 4, A1 and A2 show the surface
differential at the three study sites between the first survey in June 2019
and the last survey in December 2020. In these figures, we have filtered out
any change less than <inline-formula><mml:math id="M57" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>1 cm, green clusters of points correspond to
positive change and red clusters of points correspond to negative changes.
Over the 554 d period, many changes were visible on the rockwall surfaces.
Most of the positive changes (in green) to the rockwall and scree slope are
explained by low snow accumulation during the last lidar surveys on 18 December 2020. These positive changes can also be attributed to the
development of rock instabilities large enough to be detected by lidar (Kromer et al., 2018; Oppikofer et al., 2008, 2009; Royán et al., 2014). For example, measurements taken at MAE show that between the months of June 2019 and December 2020, a rock mass measuring 3 m high separated from the
rockwall by 4 to 5 cm at its top and 1 to 2 cm at its base
(Fig. 4a). The increased rate of displacement at
the top of the rock mass suggests a toppling failure. This type of
pre-failure deformation was not considered in the rockfall volume
calculation. Only rockfalls that produced a negative change of more than
0.005 m<inline-formula><mml:math id="M58" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> in the surface differential were considered in the erosion
rate calculation. Because rockfalls of very small magnitude (<inline-formula><mml:math id="M59" display="inline"><mml:mo lspace="0mm">&lt;</mml:mo></mml:math></inline-formula> 0.005 m<inline-formula><mml:math id="M60" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula>) were not considered, the erosion rates are slightly
underestimated. It is important to recall that what appears to be a high-magnitude event over the entire study period may correspond to several
successive smaller-scale events (Fig. 4b) (Abellán
et al., 2014; Barlow et al., 2012; van Veen et al., 2017; Williams et al.,
2018). The change detection of <inline-formula><mml:math id="M61" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>1 cm applied in
Figs. 4, A1 and A2 was only used to visualize the
overall picture of the rock slope dynamic (e.g. snow accumulation,
pre-failure deformation), but as described before, a filter of <inline-formula><mml:math id="M62" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>10 cm
was applied to quantify rockfalls.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4"><?xmltex \currentcnt{4}?><?xmltex \def\figurename{Figure}?><label>Figure 4</label><caption><p id="d1e856">Point clouds of main changes (MAE rockwall) between the first (14 June 2019) and last (18 December 2020) scan surveys. Positive changes are
mainly relative to unstable rock mass <bold>(a)</bold>, and negative changes highlight rockfall <bold>(b)</bold>.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://nhess.copernicus.org/articles/23/343/2023/nhess-23-343-2023-f04.jpg"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><?xmltex \currentcnt{5}?><?xmltex \def\figurename{Figure}?><label>Figure 5</label><caption><p id="d1e873">Mean annual rockfall frequency <bold>(a)</bold>, rockwall erosion rate <bold>(b)</bold> and total volume of rockfall for the overall studied period <bold>(c)</bold>.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://nhess.copernicus.org/articles/23/343/2023/nhess-23-343-2023-f05.png"/>

        </fig>

      <p id="d1e892">Considering the scanned surfaces separately, all three sites had fairly
similar annual rockfall frequencies: 0.08 rockfalls m<inline-formula><mml:math id="M63" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> for MAE and MAR, and 0.06 rockfalls m<inline-formula><mml:math id="M64" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> for GMO (Fig. 5a). In
contrast, the differences between the erosion rates of the three rockwalls
were more pronounced. Over the study period, the erosion rate was higher for
MAR (5.4 mm yr<inline-formula><mml:math id="M65" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) than for MAE (3.0 mm yr<inline-formula><mml:math id="M66" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) or GMO
(2.8 mm yr<inline-formula><mml:math id="M67" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) (Fig. 5b). Therefore,
despite comparable rockfall frequencies, MAR had a higher erosion rate than
the other sites. This distinction shows that on average, MAR experienced
higher-magnitude events. This is borne out by the fact that in the entire
time series, five of the seven recorded events with a volume of over 1 m<inline-formula><mml:math id="M68" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula>
occurred at MAR. These events account for 33 % of the total volume lost by the three rockwalls in the study period. At MAR, the 8 largest-magnitude events contributed as much to the erosion rate of the studied surface as the 430 lower-magnitude events. Meanwhile, at GMO and MAE, the 5 and 20 highest-magnitude events represented the volume of the 481 and 343 smallest events, respectively. Clearly, high-magnitude events affect more substantially the erosion rate of the rockwalls (Fig. 5c).</p>
</sec>
<sec id="Ch1.S4.SS3">
  <label>4.3</label><title>Weather conditions related to rockfalls</title>
      <p id="d1e973">In this study, lidar surveys made it possible to quantify instabilities over
16 distinct periods (Fig. 6). Three of them
totaling 104 d with a mean precipitation of 1.4 mm d<inline-formula><mml:math id="M69" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> were
defined as dry periods (DRY). Two periods totaling 100 d and a mean
precipitation of 4.1 mm d<inline-formula><mml:math id="M70" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> were defined as rainy periods (RAINY). Two
periods totaling 93 d with a mean air temperature below the freezing point
(<inline-formula><mml:math id="M71" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>6.2 <inline-formula><mml:math id="M72" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C) and very low winter freeze–thaw frequency (0.02 thaws d<inline-formula><mml:math id="M73" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) were defined as cold winter periods (WIN. <inline-formula><mml:math id="M74" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0 <inline-formula><mml:math id="M75" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C). The autumn periods (AUT. FT) experienced the first freeze–thaw cycles after summer. Two autumn periods totaling 79 d were
scanned. The specific meteorological events that were monitored included a
heavy (54 mm) and high-intensity (4 mm h<inline-formula><mml:math id="M76" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> for 12 h 45 min) rainfall
event in September 2019 (HEAVY RF) and two winter freeze–thaw cycles (WIN. FT) in winter 2020. One of these two winter freeze–thaw cycles was
accompanied by rainfall. Since this kind of liquid precipitation event is
only possible because of the thaw occurrence, we made the choice to consider
this period a WIN. FT. Four lidar surveys were used to segment the spring
thaw (SPR. MELT) into three periods (Fig. 7).
The first phase corresponds to the initiation of the thawing season
including two freeze–thaw events reaching a depth of 50 cm from the rockwall
surface (SPR.0–50). The second phase is characterized by a thaw that
penetrates to a depth of 95 cm and by a thaw of 77 cm from depth
(SPR.50–100). The third phase corresponds to the complete thaw of the
rockwall (SPR.100–350) (Fig. 7). Lastly, the
period between 25 May and 16 September 2020 experienced a range of weather
conditions too varied for categorization (Fig. 6).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6" specific-use="star"><?xmltex \currentcnt{6}?><?xmltex \def\figurename{Figure}?><label>Figure 6</label><caption><p id="d1e1059">Targeted weather conditions for each scan survey period, 14 June
2019–18 December 2020 (553 d).</p></caption>
          <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://nhess.copernicus.org/articles/23/343/2023/nhess-23-343-2023-f06.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7" specific-use="star"><?xmltex \currentcnt{7}?><?xmltex \def\figurename{Figure}?><label>Figure 7</label><caption><p id="d1e1070">Rock temperature evolution along a perpendicular profile from
the surface to 360 cm depth, 21 March–6 May 2020. Dark time series are for
freeze–thaw depth (0 <inline-formula><mml:math id="M77" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C). Vertical lines delimit scan periods.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://nhess.copernicus.org/articles/23/343/2023/nhess-23-343-2023-f07.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8" specific-use="star"><?xmltex \currentcnt{8}?><?xmltex \def\figurename{Figure}?><label>Figure 8</label><caption><p id="d1e1091">Rockfall occurrence <bold>(a)</bold> and frequency <bold>(b)</bold> for each scanned survey period, grouped by targeted weather conditions for all sites.</p></caption>
          <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://nhess.copernicus.org/articles/23/343/2023/nhess-23-343-2023-f08.png"/>

        </fig>

      <p id="d1e1106">In decreasing order, 241 rockfalls were associated with RAINY periods, 178
with AUT. FT periods, 145 with DRY periods, 120 with SPR. MELT periods, 97
with WIN. <inline-formula><mml:math id="M78" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0 <inline-formula><mml:math id="M79" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C periods, 91 with the HEAVY RF period,
and 44 with WIN. FT periods (Fig. 8a). However,
rockfall occurrence under these meteorological conditions is not
representative of the dynamics of rockwall instability, since some of those
conditions occur over a much longer period than others. For example, DRY
periods total 104 d, while WIN. FT periods total just 4 d. Considering
rockfall frequency rather than occurrence revealed different meteorological
conditions as triggering factors of instabilities. WIN. <inline-formula><mml:math id="M80" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0 <inline-formula><mml:math id="M81" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C and DRY were associated with the lowest daily rockfall
frequencies of 0.9 and 1.4 events d<inline-formula><mml:math id="M82" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, respectively, across the full
scanned surface area (12 056 m<inline-formula><mml:math id="M83" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>). This frequency tended to
double under AUT. FT (2.2 events d<inline-formula><mml:math id="M84" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>), RAINY (2.4 events d<inline-formula><mml:math id="M85" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) and SPR. MELT (2.6 events d<inline-formula><mml:math id="M86" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) conditions. Winter freeze–thaw cycles (WIN. FT) and heavy rainfall events (HEAVY RF) produced
the highest rockfall frequencies. Frequencies for WIN. FT and HEAVY RF were
11.0 and 30.3 events d<inline-formula><mml:math id="M87" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, respectively
(Fig. 8b). Compared to a cold winter period (WIN. <inline-formula><mml:math id="M88" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0 <inline-formula><mml:math id="M89" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C), rockfall frequency was multiplied by a factor of
1.5 during DRY periods, 2.3 in AUT. FT periods, 2.8 in SPR. MELT periods,
11.7 in WIN. FT periods and 32.3 in HEAVY RF periods.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9" specific-use="star"><?xmltex \currentcnt{9}?><?xmltex \def\figurename{Figure}?><label>Figure 9</label><caption><p id="d1e1230">Main weather conditions <bold>(a)</bold>, erosion rates <bold>(b)</bold> and rockfall frequency <bold>(c)</bold> for each scanned survey period. Erosion rates and rockfall frequency are relative to mean erosion rates and mean rockfall frequency, respectively, between 14 June 2019 and 18 December 2020.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://nhess.copernicus.org/articles/23/343/2023/nhess-23-343-2023-f09.png"/>

        </fig>

      <p id="d1e1248">For each scanned survey period, precipitation intensity and freeze–thaw
cycles were compared with rockwall erosion rates and rockfall frequency
(Fig. 9). The erosion rate and frequency shown for
each period are relative to their respective mean values over the entire
time series (standard score). Where values for a period were under 1, the
rockwall erosion rate and rockfall frequency were less than the time series
mean. On 7 September 2019, Category-5 Hurricane Dorian arrived in the Gulf
of Saint Lawrence as a post-tropical storm. It dropped 54 mm of heavy rain
(4 mm h<inline-formula><mml:math id="M90" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> for 12 h 45 min) on the study site. Between 1987 and
2021, only 16 precipitation events of over 50 mm were recorded in
Haute-Gaspésie, which represents a return period of 776 d
(Environment Canada, 2021). The heavy rain event resulted in
a rockwall erosion rate and rockfall frequencies that were 9.3 and 13.8 times the mean, respectively (Fig. 9). Calculated
for the full 72 h period between the two surveys (7 and 10 September 2019),
those values would undoubtedly have been higher had they had been based
solely on the actual duration of the event (14 h).</p>
      <p id="d1e1263">Between 23 and 26 February 2020, a series of three freeze–thaw cycles
occurred (Fig. 9). They followed a long period (70 d) of below-freezing-point temperatures. During these three freeze–thaw cycles, the air temperature rose to 3.1, 8.3 and 2.1 <inline-formula><mml:math id="M91" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, respectively, separated by 8 h periods around <inline-formula><mml:math id="M92" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2 <inline-formula><mml:math id="M93" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C. They resulted in a thaw of 10 cm depth from the rockwall surface.
The rockwall erosion rate and rockfall frequency were 6.3 and 8.5 above the
mean, respectively. The absence of rain during this period highlights the
leading role of surface thaws in rockslide dynamics
(Fig. 9). The air temperature remained below the
freezing point until 20 March 2020 before rising above zero for 24 h,
briefly reaching a high of 8.1 <inline-formula><mml:math id="M94" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C. This produced a surface thaw
to a depth of 14 cm accompanied by rockwall retreat and rockfall frequency
rates of 2.3 and 4.4 times the mean, respectively (Fig. 9). In the spring, the frequency and magnitude of freeze–thaw cycles increased (Figs. 7
and 9). Rockfall frequency remained fairly
low and lower than during the last winter freeze–thaw event (1.7 times more
than the mean). In contrast, erosion rates were higher than during the
freeze–thaw event on 23 and 26 February and remained high for a period of 24 d (2.5 times more than the mean). This combination of a high erosion rate
and fairly low rockfall frequency indicates an increased mean rockfall
volume during the spring thaw.</p>
      <p id="d1e1301">Over the study period, the weather conditions that most contributed to rock
instability dynamics were the winter freeze–thaw cycles, the spring thaw, and
the heavy and high-intensity rainfall event
(Fig. 9). In contrast, other weather conditions
were associated with high stability in the studied rockwalls. In the period
5 December 2019–23 February 2020, both the rockwall erosion rate and
the rockfall frequency were very low, 0.6 and 0.3 times less than the mean,
respectively (Fig. 9). Temperatures remained below
freezing point on all but 2 d of this 81 d period. The 19 d period
6–25 May 2020 had very low rockwall erosion rates and rockfall frequency
(0.2 and 0.6 times less than the mean, respectively). During that period,
rockwall temperature remained constantly below freezing and only 5.6 mm of
rain was recorded. In the study period, the cold winter and dry summer
periods experienced the weather conditions associated with the highest
stability in the scanned rockwalls (Fig. 9).</p>
</sec>
<sec id="Ch1.S4.SS4">
  <label>4.4</label><title>Hazard assessment</title>
      <p id="d1e1312">Lidar surveys make it possible to quantify rockfall frequency and calculate
the individual volume of each rockfall. Using these data, we can study the
influence of different weather conditions on rockfall magnitude.
Figure 10a presents a matrix of the weather
conditions associated with different rockfall frequencies and magnitudes. We
defined three classes of low, intermediate and high magnitudes.
The first one includes 1100 low-magnitude (0.005–0.05 m<inline-formula><mml:math id="M95" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula>)
events. The second class comprises 119 events of intermediate magnitude
(0.05–0.15 m<inline-formula><mml:math id="M96" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula>), while the third includes 68 events of the
highest magnitude (<inline-formula><mml:math id="M97" display="inline"><mml:mo lspace="0mm">≥</mml:mo></mml:math></inline-formula> 0.15 m<inline-formula><mml:math id="M98" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula>). We also defined five
frequency classes for the matrix: low (<inline-formula><mml:math id="M99" display="inline"><mml:mo lspace="0mm">&lt;</mml:mo></mml:math></inline-formula> 75 % mean frequency for
the study period), moderate (75 %–125 %), high (125 %–300 %), very high
(300 %–500 %) and extreme (<inline-formula><mml:math id="M100" display="inline"><mml:mo lspace="0mm">&gt;</mml:mo></mml:math></inline-formula> 500 %).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F10" specific-use="star"><?xmltex \currentcnt{10}?><?xmltex \def\figurename{Figure}?><label>Figure 10</label><caption><p id="d1e1366">Hazard assessment matrix showing the relationship between
rockfall magnitude and frequency for specific weather conditions <bold>(a)</bold> and cumulative daily occurrence of those conditions during the first complete
year of this study (14 June 2019 to 13 June 2020) <bold>(b)</bold>.</p></caption>
          <?xmltex \igopts{width=384.112205pt}?><graphic xlink:href="https://nhess.copernicus.org/articles/23/343/2023/nhess-23-343-2023-f10.png"/>

        </fig>

      <p id="d1e1381">The HEAVY RF weather condition coincides with extreme rockfall frequency of both
low- and high-magnitude events. In contrast, DRY, WIN. <inline-formula><mml:math id="M101" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0 <inline-formula><mml:math id="M102" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, SPR.0–50 and AUT. FT conditions were associated with low-frequency rockfall, irrespective of magnitude. All of those weather
conditions had an impact on rockfall frequency, resulting in either
widespread instability (HEAVY RF) or, conversely, widespread stability (DRY,
WIN. <inline-formula><mml:math id="M103" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0 <inline-formula><mml:math id="M104" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, SPR.0–50 and AUT. FT). However, while there
is no clear relationship between those conditions and rock instability
magnitude, the WIN. FT, SPR.50–100, SPR.100–350 and RAINY conditions led to
rockfall frequencies that varied by magnitude. WIN. FT is associated with
extreme frequencies of low- and moderate-magnitude instabilities but only
high frequencies of large instabilities. Similarly, RAINY and SPR.50–100 are
associated with high frequencies of low-magnitude events but moderate to low
frequencies of high-magnitude events. The inverse relationship was observed
during the thawing period in depth (SPR.100–350). This critical period was
dominated by high-magnitude rockfalls that outnumbered low-magnitude ones
(Fig. 10a).</p>
      <p id="d1e1417">The cumulative daily occurrence of targeted weather conditions draws
only on data collected during the first year of the study (14 June 2019–13 June 2020) rather than the entire time series in order to give each season an equal weight (Fig. 10b). In that year, HEAVY RF
and SPR.100–350 periods accounted for just 11 d. There was therefore a
low occurrence of periods with weather conditions favorable to extreme-frequency high-magnitude events. The WIN. FT, SPR.0–50, SPR.50–100 and AUT.
FT periods were also associated with high-frequency or high-magnitude
rockfall and represent a cumulative occurrence of 44 d between 14 June
2019 and 13 June 2020 (Fig. 10b). Lastly, the DRY,
WIN. <inline-formula><mml:math id="M105" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0 <inline-formula><mml:math id="M106" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C and RAINY periods, which do not coincide with
periods of high instability, accounted for 310 d, or 85 % of the year
(Fig. 10b). Thus, on an annual scale, the weather
conditions that resulted in high-frequency or high-magnitude rockfall are in a
small minority.</p>
</sec>
</sec>
<sec id="Ch1.S5">
  <label>5</label><title>Discussion</title>
<sec id="Ch1.S5.SS1">
  <label>5.1</label><title>Flysch rockwall erosion rate</title>
      <p id="d1e1453">The annual erosion rates measured over 554 d for the three flysch
rockwalls in Haute-Gaspésie are very high (between 2.8 and 5.4 mm yr<inline-formula><mml:math id="M107" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) compared to reported rates for various lithologies and climate patterns (e.g.
André, 1997; Barsch, 1977; Beylich, 2000; Curry and Morris, 2004;
Hinchliffe and Ballantyne, 1999; Höllerman, 1983; Humlum, 2000;
Olyphant, 1983; Sass, 1998). They are nonetheless perfectly consistent with
those reported by Hétu and Gray (2000) for a 40 m flysch
rockwall in the same study area (3.2 mm yr<inline-formula><mml:math id="M108" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>). Those rates were
measured by weighing the sediment accumulated on plastic tarps placed at the
foot of rockwalls (Hétu and Gray, 2000). Direct
measurements by TLS are extremely accurate, making it possible to quantify
the erosion rates of rockwalls in their morphoclimatic environments with a
greater degree of certainty. The agreement between the results from the two
methods demonstrates that they are both valid. However, surveys over very
short periods clearly tend to underestimate actual rates by limiting the
likelihood of observing very high magnitude events that would have a
significant influence on erosion rate (e.g. Korup and Clague, 2009;
Krautblatter and Dikau, 2007). Continuing to survey these rockwalls would
confirm the accuracy of the erosion rates presented here. TLS is a modern
method that merits more widespread use in monitoring projects of this type
and to build on our understanding of rockwall retreat and erosional feature
dynamics (e.g. Ballantyne and
Kirkbride, 1987; Duszyński et al., 2019; Higgins and Coates, 1990; Rapp,
1960).</p>
</sec>
<sec id="Ch1.S5.SS2">
  <label>5.2</label><title>Relationship between meteorological conditions and rockfall</title>
      <p id="d1e1488">Rockfall frequency during RAINY periods was 1.7 times higher than the mean
relative to DRY periods. The highest-magnitude and strongest-intensity rain
event (HEAVY RF) was associated with rockfall frequency 9.3 times higher
than the study period mean or 21.6 times higher than during a dry period.
Only RAINY conditions led to an increased frequency of low-magnitude
instabilities, while HEAVY RF conditions resulted in a significant increase
in the frequency of high-magnitude instabilities (Fig. 10). These results agree with those obtained in other geological and climatic contexts. For the limestone rockwalls of Isère, France, D'Amato et al. (2016)
showed that rockfall frequency was 2.5 to 3 times higher during rain events
than during the dry summer period, up to 7.5 higher during high-magnitude
rain (<inline-formula><mml:math id="M109" display="inline"><mml:mo lspace="0mm">&gt;</mml:mo></mml:math></inline-formula> 30 mm) and 27 higher during high-intensity rain
(<inline-formula><mml:math id="M110" display="inline"><mml:mo lspace="0mm">&gt;</mml:mo></mml:math></inline-formula> 5 mm h<inline-formula><mml:math id="M111" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>). For the rockwalls of the island of Réunion,
Delonca et al. (2014) showed
that high-magnitude rain (<inline-formula><mml:math id="M112" display="inline"><mml:mo lspace="0mm">&gt;</mml:mo></mml:math></inline-formula> 120 mm) resulted in an 8-fold
increase in the probability of daily rockfall. The lack of a time lag
between rain events and instabilities shows that this precipitation has a
nearly immediate (<inline-formula><mml:math id="M113" display="inline"><mml:mo lspace="0mm">&lt;</mml:mo></mml:math></inline-formula> 24 h) triggering effect on rock instabilities.
In the Japanese Alps, Matsuoka (2019)
demonstrated the impact of liquid precipitation on increased water content
and subsequent rockfall triggering. Certain high-intensity rain events were
associated with instabilities of 1 m to multiple meters in size. These
studies, like our own, clearly show that rain events are aggravating and
triggering factors of rockfall. However, they do not detail the process by
which rainwater contributes to the formation of instabilities or improve our
understanding of how water moves through the highly fractured rock layer
near rockwall surfaces (Magnin et al., 2021; Stoll et
al., 2020). It is well known that an increase in hydrostatic pressure in
discontinuities reduces shear strength (Selby, 1993;
Wieczorek and Jäger, 1996; Wyllie and Mah, 2004). Groundwater recharge
and hydrostatic pressure at depth have been put forward as kinematic factors
in large rockslides (Cloutier et al.,
2015; Crosta et al., 2013). However, how rainwater influences the
development of superficial instabilities is less well documented. In
clay-rich rock, it has been shown that water content variations at the
rockwall surface lead to irreversible mechanical deformations
(Birien and Gauthier, 2022) that could trigger rockfall.
Rockwall surfaces can experience wide fluctuations in water content. Rain
events result in subsurface runoff in the altered surface layer of rockwalls
and represent a significant water input. This input can be amplified when
wind spreads a layer of rainwater over rockwall surfaces
(Sass, 2005). This type of subsurface runoff can
clearly contribute to reducing shear strength and trigger rockfall during
high-intensity rain events (Selby, 1993). Conversely, direct
solar radiation on rockwall surfaces can lead to rapid and significant
drying of the first decimeters of rock (Burnett et al., 2008). Limited access
to rockwalls and the challenge of directly measuring water pressure limit
our ability to measure moisture dynamics in this surface layer of rock and
interpret its influence on the development of rock instabilities.</p>
      <p id="d1e1531">In this study, rockfall frequency was 11.7 times higher during winter
freeze–thaw cycles (WIN. FT) than during cold periods when the temperature
remains below the freezing point (WIN. <inline-formula><mml:math id="M114" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0 <inline-formula><mml:math id="M115" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C). We
therefore observe that high rockfall frequencies occur during thawing
periods (WIN. FT), while rockwalls remain very stable during the phases of
the freezing process (WIN. <inline-formula><mml:math id="M116" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0 <inline-formula><mml:math id="M117" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C). The freezing phase
can cause fractures to open (Coutard
and Francou, 1989; Matsuoka, 2008; Matsuoka and Sakai, 1999). However,
cohesion at the ice–rock interface is generally sufficient to hold newly
unstable blocks of rock in place (Fiorio et al., 2002; Krautblatter et
al., 2013). Consequently, rockfalls occur when the ice melts, such as during
winter freeze–thaw cycles. This finding supports those of
D'Amato et al. (2016), who showed that in
limestone rockwalls in Isère, France, the frequency of rock
instabilities is 7 times higher during freeze–thaw cycles. Similarly,
Delonca et al. (2014) found
that rockfall frequency was doubled on basalt and granite rockwalls in
Auvergne, France, for freeze–thaw cycles with a minimum temperature of
<inline-formula><mml:math id="M118" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5 <inline-formula><mml:math id="M119" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C. Our results also show that freeze–thaw cycles are
associated with a very high frequency of low- and moderate-magnitude events
but that their impact is limited when it comes to higher-magnitude events
(Fig. 10a). This is consistent with the fact that winter freeze–thaw cycles influenced only the first 15 cm from the surface (Fig. 9a). Winter thaws can be accompanied by rainfall (Fig. 9), and a compounding effect of
these conditions probably occurs when they are combined. Autumn freeze–thaw
cycles (AUT. FT) do not appear to be as effective at developing rock
instabilities as winter freeze–thaw cycles. Their associated frequency of
rockfall is near the annual mean for both low- and high-magnitude
instabilities (Fig. 10a). This is likely partly
due to the fact that autumn freeze–thaw cycles were not studied
individually. The two AUT. FT periods were 28 and 51 d long,
respectively. They also coincided with weather conditions unmarked by high
rockfall frequency that decreased the average frequency of rockfall specific
to autumn freeze–thaw cycles. Matsuoka (2019) also
notes that even if the temperature fluctuations around the freezing point
penetrate to 40 cm in depth, the water in the pores and discontinuities does
not necessarily freeze – or freeze completely – due to its high heat
capacity. Lastly, the high-intensity autumn rain events that preceded the
period of many autumn freeze–thaw cycles (AUT. FT) may have purged the
rockwall surface of its most unstable rock, leaving very little rock in a
nearly unbalanced state.</p>
      <p id="d1e1583">The superficial spring thawing phase (SPR.0–50) does not appear to be a
particularly unstable period, even for low-magnitude events
(Fig. 10a). However, the thaw in the first meter
of rockwall (SPR.50–100) results in very high frequency of moderate-magnitude instabilities. When thawing at depth (SPR.100–350) occurs, the
frequency of high-magnitude instabilities increases
(Fig. 10a). This relationship between seasonal
freezing depth and rockfall magnitude is widely recognized (e.g.
Dramis et al., 1995; Matsuoka, 2019; Matsuoka and Murton, 2008), but for the
first time, this study compares the magnitude of rock instabilities with
measurements of the spring thawing front at depth. The winter freeze–thaw
cycles (WIN. FT) that occurred before the first thawing phase (SPR.0–50) may
have been responsible for purging the first decimeters of rockwall surfaces
and explain why SPR.0–50 conditions are not associated with an unstable
period. This surface thaw phase lasted 23 d. During that period, negative
temperatures continued to dominate (conditions equivalent to WIN. <inline-formula><mml:math id="M120" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0 <inline-formula><mml:math id="M121" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C) and probably tended to attenuate rockfall frequency
throughout the period. At greater depth, the spring thaw is the only thaw of
the year (Figs. 7 and 9). Consequently, the mechanical action of
this high-amplitude freeze–thaw cycle has strong potential to destabilize
rock portions (Dramis
et al., 1995; Matsuoka, 2019; Matsuoka and Murton, 2008). The impact of the
spring thaw on high-magnitude rockfall is amplified by water advection
associated with snow cover melting, groundwater recharge, and ice melting in
rock discontinuities and pores. As spring progresses, rain precipitation
becomes predominant, further increasing water inputs
(Hasler et al., 2011). Large-magnitude rockfall is
likely to result from the reduced cohesion associated with ice melt and
increases in hydrostatic and interstitial pressure in the altered layer of
rockwall surfaces (Matsuoka,
2019; Schovanec, 2020; Wieczorek and Jäger, 1996).</p>
      <p id="d1e1602">Among the contributing factors to rock instability development, the roles of
precipitation and freeze–thaw cycles are predominant (e.g.
Collins and Stock, 2016; Coutard and Francou, 1989; D'Amato et al., 2016;
Hungr et al., 1999; Matsuoka and Sakai, 1999; Rapp, 1960; Wieczorek and
Jäger, 1996). To a lesser degree, other weather phenomena can trigger
rockfall. Large temperature fluctuations cause expansion and contraction
within rock masses that can eventually result in rockfall (Collins
and Stock, 2016; Eppes et al., 2016; Matsuoka, 2019). The impact of thermal
cycles on the rockfall dynamics of the highly altered north-facing rockwalls
of Haute-Gaspésie was considered to be minor and was not quantified in
this study.</p>
</sec>
<sec id="Ch1.S5.SS3">
  <label>5.3</label><title>Rockfall hazard management</title>
      <p id="d1e1613">The magnitude of rockfalls is a major issue in risk management. Large-dimension blocks tend to travel longer distances (e.g. Dorren, 2003). If they reach part of the natural or built environment that is exposed, they have a larger probability of causing damage. Therefore, in risk management, a high
frequency of high-magnitude events does not have the same significance as a
high frequency of low-magnitude events. The rockfall on 16 April 2019 that
occurred 1.3 km west of the MAE site resulted in the temporary closure of
Route 132 (Fig. 11). It took place 18 h after
the first thaw to 60 cm in depth and coincided with the spring thaw
(SPR.50–100). It also occurred immediately after a 20.1 mm rainfall event
(HEAVY RF). In retrospect, the SPR.50–100 and HEAVY RF conditions meant that
extremely high frequency high-magnitude rockfall was likely
(Fig. 10). From a risk management standpoint,
forecasting a major event such as the one on 16 April 2019 is possible using
the risk assessment matrix developed in this study. High-intensity rain
(HEAVY RF) and spring thaw SPR.100–350 were identified as the weather
conditions of greatest concern for public safety, since they result in
extreme-frequency high-magnitude events (Fig. 10a). In our first full year of data collection (14 June 2019–13 June 2020), these conditions only occurred on 11 d (Fig. 10b). The other weather conditions
that lead to increased rockfall frequency and magnitude (WIN. FT, SPR.0–50,
SPR.50–100 and AUT. FT) add 44 more days of concern. From the perspective of
rockfall forecasting, it is noteworthy that potentially hazardous conditions
are present on only 55 d annually for users of Route 132. In the year under
study, heightened vigilance was needed on only 15 % of the days on an annual
scale (Fig. 10b) that has wide seasonal disparities (Figs. 9 and 10). The ministère des Transports
du Québec could implement different risk mitigation measures targeted
for the weather conditions forecast by the weather models.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F11"><?xmltex \currentcnt{11}?><?xmltex \def\figurename{Figure}?><label>Figure 11</label><caption><p id="d1e1618">Rockfall that occurred on 16 April 2019, obstructing Route 132.
© Philippe Langlais, TVA Nouvelles.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://nhess.copernicus.org/articles/23/343/2023/nhess-23-343-2023-f11.jpg"/>

        </fig>

      <p id="d1e1627">While RAINY conditions do not stand out in this study for causing high-frequency and/or high-magnitude rock instabilities, rain events should be given
special attention. Our methodology did not make it possible to clearly
encompass all rain events on an annual scale. Given that HEAVY RF conditions
are associated with extreme-frequency high-magnitude events, moderate-intensity rain events must also feed back into frequencies and magnitudes of
concern for the safety of Route 132 users. The same reasoning applies to the
AUT. FT period. Had it been possible to better monitor autumn freeze–thaw
cycles, they would likely have shown a frequency of associated rock
instabilities more similar to that of winter freeze–thaw cycles (WIN. FT).</p>
      <p id="d1e1631">This study highlights that rockfall dynamics are strongly controlled by the
weather conditions and by the thermal regime of the rock slopes. Some of
these conditions are associated with rockwall stability, while others
significantly increase rockfall frequency and/or magnitude
(Figs. 8, 9 and 10). Because of the inconsistency of weather
conditions in terms of duration (e.g. a cold winter period versus a winter
thaw), we propose to focus on an event-based monitoring approach rather than
a period-based approach to survey rockfalls. This approach allows us to
differentiate the respective impacts of different meteorological events that
cannot be easily distinguished on a periodic scale, since their occurrences
overlap. For an equivalent number of surveys and therefore for the same
effort, this event-based monitoring approach is more relevant to identifying
weather conditions conducive to rockfalls of different magnitudes.</p>
</sec>
</sec>
<sec id="Ch1.S6" sec-type="conclusions">
  <label>6</label><title>Conclusion</title>
      <p id="d1e1643">The influence of weather conditions on the occurrence of rock instabilities
is now widely recognized in the scientific community. This study proposed to
quantify rockfall volumes using lidar during previously selected weather
conditions rather than taking regular surveys (weekly, monthly, seasonal).
For an equivalent number of surveys and therefore for the same effort, this
protocol made it possible to efficiently monitor the influence of weather
conditions on rockfall frequency and magnitude. Over 18 months, 17 surveys
were carried out on three rockwalls with a total area of 12 056 m<inline-formula><mml:math id="M122" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>.
They made it possible to monitor a range of weather conditions and identify
1287 rockfalls. The rockwall erosion rate during that period was
2.8–5.4 mm yr<inline-formula><mml:math id="M123" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, which is among the highest in the world but
comparable to other observations in this type of lithology (e.g.
André, 1997; Barsch, 1977; Beylich, 2000; Curry and Morris, 2004;
Hinchliffe and Ballantyne, 1999; Höllerman, 1983; Humlum, 2000;
Olyphant, 1983; Sass, 1998).</p>
      <p id="d1e1667">Some of the weather conditions are associated with periods of rockwall
stability (dry summer and cold winter periods), while others significantly
increase rockfall frequency and/or magnitude (winter freeze–thaw cycles,
spring thaw, high-intensity rainfall). Winter freeze–thaw cycles and
moderate rainfall lead to an increase in the frequency of low-magnitude rock
instabilities. High-intensity rainfall and spring thaw coincide with a
significant increase in the frequency of large-dimension rockfall. In the
realm of rockfall prevention, this study showed the importance of
quantifying rockfall magnitude, since the relationship between weather
conditions and rockfall frequency is not necessarily applicable to rockfall
magnitude. The results allow weather conditions to be categorized by their
ability to trigger rock instabilities of varying magnitudes. Using this
combined with current or forecast weather conditions, different risk
mitigation measures to limit safety hazards can be implemented.</p><?xmltex \hack{\newpage}?>
</sec>

      
      </body>
    <back><app-group>

<app id="App1.Ch1.S1">
  <?xmltex \currentcnt{A}?><label>Appendix A</label><title/>

      <?xmltex \floatpos{h!}?><fig id="App1.Ch1.S1.F12"><?xmltex \currentcnt{A1}?><?xmltex \def\figurename{Figure}?><label>Figure A1</label><caption><p id="d1e1683">Point cloud of main changes between the first (14 June 2019) and
last (18 December 2020) scan surveys of MAR and MAE sites. Red points show
negative changes; green points show positive changes.</p></caption>
        <?xmltex \igopts{width=233.312598pt}?><graphic xlink:href="https://nhess.copernicus.org/articles/23/343/2023/nhess-23-343-2023-f12.jpg"/>

      </fig>

      <?xmltex \floatpos{h!}?><fig id="App1.Ch1.S1.F13"><?xmltex \currentcnt{A2}?><?xmltex \def\figurename{Figure}?><label>Figure A2</label><caption><p id="d1e1694">Point cloud of main changes between the first (14 June 2019) and
last (18 December 2020) scan surveys of three GMO sites. Red points show
negative changes; green points show positive changes.</p></caption>
        <?xmltex \igopts{width=233.312598pt}?><graphic xlink:href="https://nhess.copernicus.org/articles/23/343/2023/nhess-23-343-2023-f13.jpg"/>

      </fig>

<?xmltex \hack{\newpage}?>
</app>
  </app-group><notes notes-type="codedataavailability"><title>Code and data availability</title>

      <p id="d1e1709">All the data collected during this study are available on request. Codes were only used to realize Fig. 7 and can also be sent on request.</p>
  </notes><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e1715">TB carried out the fieldwork, developed the data processing, carried out the data analysis and wrote the manuscript. FGa helped to develop the initial idea and to prepare the manuscript.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e1721">The contact author has declared that neither of the authors has any competing interests.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d1e1727">Publisher's note: Copernicus Publications remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.</p>
  </notes><notes notes-type="sistatement"><title>Special issue statement</title>

      <p id="d1e1733">This article is part of the special issue “Hydro-meteorological extremes and hazards: vulnerability, risk, impacts, and mitigation”. It is a result of the European Geosciences Union General Assembly 2022, Vienna, Austria, 23–27 May 2022.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e1739">We thank the ministère des Transports du Québec (MTQ) as well the
Natural Sciences and Engineering Research Council of Canada (NSERC) for
funding this research. We acknowledge the LGGRM members who helped us with the
instrumentation process of the study sites, maintenance and data
collection. We also would like to thank the two anonymous referees of <italic>Natural Hazards and Earth System Sciences</italic> whose valuable comments improved the quality of the paper.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e1748">This research has been supported by the service de la géotechnique et de la géologie of the ministère des Transports du Québec (MTQ) and by the Natural Sciences and Engineering Research Council of Canada (NSERC).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e1754">This paper was edited by Nadav Peleg and reviewed by two anonymous referees.</p>
  </notes><ref-list>
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