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Landslides triggered by the 2015 Mw 6.0 Sabah (Malaysia) earthquake: inventory and ESI-07 intensity assignment

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Abstract

On 4 June 2015, a Mw 6.0 earthquake occurred in the Sabah region (Malaysia), triggering widespread landslides along the slopes of Mt. Kinabalu. Despite the moderate magnitude, the Sabah earthquake was very efficient in triggering landslides: here I provide an inventory containing 5198 slope movements, mapped in an 810 km2-wide area. I investigate earthquake intensity using the Environmental Seismic Intensity (ESI-07) scale, which is a macroseismic scale based exclusively on earthquake environmental effects. The epicentral ESI-07 intensity is assessed at IX, considering the dimension of the area affected by secondary effects; such figure agrees well with a dataset of global earthquakes. I estimate the volume of individual landslides using area-volume scaling laws, then I assigned an ESI-07 intensity to each mapped landslide. I document that the selection of a given area-volume relation has a minor influence on the ESI-07 assignment. Then, I compare ESI-07 values to landslide density and areal percentage on a 1-km2 grid; such parameters are widely adopted in the description of earthquake-triggered landslide inventories. I argue that their integration with the ESI-07 scale may provide an effective way to compare earthquake damage on a variety of spatial and temporal scales. The methodological workflow here illustrated is useful in joining the scientific communities dealing with the realization of earthquake-triggered landslide inventories and with ESI-07 assignment; I believe this effort is beneficial for both the communities.
1
Landslides triggered by the 2015 Mw 6.0 Sabah (Malaysia)
earthquake: inventory and ESI-07 intensity assignment
Maria Francesca Ferrario1
1 Università dell’Insubria, Dipartimento di Scienza e Alta Tecnologia, Como 22100, Italy 5
Correspondence to: M. F. Ferrario (francesca.ferrario@uninsubria.it)
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Abstract. On 4 June 2015, a Mw 6.0 earthquake occurred in the Sabah region (Malaysia), triggering widespread landslides
along the slopes of Mt. Kinabalu. Despite the moderate magnitude, the Sabah earthquake was very efficient in triggering 10
landslides: here I provide an inventory containing 5198 slope movements, mapped in an 810 km2-wide area. I investigate
earthquake intensity using the Environmental Seismic Intensity (ESI-07) scale, which is a macroseismic scale based
exclusively on earthquake environmental effects. The epicentral ESI-07 intensity is assessed at IX, considering the
dimension of the area affected by secondary effects; such figure agrees well with a dataset of global earthquakes.
I estimate the volume of individual landslides using area-volume scaling laws, then I assigned an ESI-07 intensity to each 15
mapped landslide. I document that the selection of a given area-volume relation has a minor influence on the ESI-07
assignment. Then, I compare ESI-07 values to landslide density and areal percentage on a 1-km2 grid; such parameters are
widely adopted in the description of earthquake-triggered landslide inventories. I argue that their integration with the ESI-07
scale may provide an effective way to compare earthquake damage on a variety of spatial and temporal scales. The
methodological workflow here illustrated is useful in joining the scientific communities dealing with the realization of 20
earthquake-triggered landslide inventories and with ESI-07 assignment; I believe this effort is beneficial for both the
communities.
1 Introduction
Moderate to strong earthquakes cause widespread damage due to primary effects, i.e., those related to the seismogenic 25
source or due to ground shaking. Earthquakes often initiate a cascade of effects, which bring different degrees of hazard and
worsen the overall damage (Williams et al., 2018; Fan et al., 2019; Quigley et al., 2020). The frequency and impact of
disasters is increasing in the last years and this trend is not expected to change in the future; additionally, modern societies
are vulnerable due to the complex interdependencies existing among the territory and infrastructure systems (Harrison &
Williams, 2016). Cascading events are function of time and space and follow non-linear paths. When hitting critical nodes, 30
they lead to enhanced direct and indirect losses: thus, assessing systemic interdependencies and including cascading effects
into simulation tools is crucial for pursuing a more comprehensive knowledge and supporting preparedness, mitigation and
recovery measures (Pescaroli & Alexander, 2016; Zuccaro et al., 2018).
Earthquake damage is usually assessed by means of macroseismic intensity, i.e., a classification of effects on humans, the
built and the natural environment (Cecić and Musson, 2004). Among the different intensity scales, the Environmental 35
Seismic Intensity (ESI-07) is the only one based exclusively on environmental effects (Michetti et al., 2004, 2007; Serva et
al., 2016). Landslides are one of such environmental effects and may be a significant cause of damage and casualties
(Marano et al., 2010; Budimir et al., 2014). Inventories of landslides triggered by earthquakes are crucial for hazard analyses
and land planning (Keefer, 1984; Harp et al., 2011; Xu, 2015); currently tens of inventories are available for a variety of
territorial and climatic settings (Schmitt et al., 2017; Tanyas et al., 2017). Landslide inventories were usually derived from 40
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manual mapping on aerial or satellite images, but in the last years several efforts have been undertaken to automatically map
earthquake-triggered landslides (e.g., Burrows et al., 2020; Handwerger et al., 2020); nevertheless, manually-derived
inventories are needed to ascertain the validity and accuracy of (semi)-automatic methods. Landslide number, density and
areal percentage vary in the affected area and are often analyzed with respect to topography, seismological or geological
conditions (e.g., Chang et al., 2021; Fan et al., 2018; Ghaedi Vanani et al., 2021; Papathanassiou et al., 2021; Wang et al., 45
2019; Xu et al., 2014).
To date, the scientific communities dealing with the building of landslide inventories and with ESI-07 assignment have
proceeded on parallel paths with limited mutual interactions. I believe that an enhanced cooperation may benefit each other:
modern landslide inventories have a resolution higher than what is usually achieved by studies focused on the ESI-07 scale;
on the other hand, the ESI-07 scale enables the comparison of earthquakes damage through time and space. 50
Here I analyze the Mw 6.0 Sabah (Malaysia) earthquake, occurred on 4 June 2015. First, I build an inventory comprising
5198 landslides; then, I calculate the landslide number density (LND), landslide area percentage (LAP) and ESI-07 intensity
on a 1-km2 grid. ESI-07 assignment requires to convert landslide area to volumes: thus, I explore the epistemic uncertainty
associated to different scaling relations. I analyze the interdependency of LND, LAP and ESI-07; since it is expected to have
a regional validity, the analysis of additional case histories is needed to assess the reliability of empirical regressions and 55
their stability under different territorial settings. The methodological workflow presented here is aimed at strengthening the
exchange of information between different scientific communities; outputs will be useful to inform advancements in ground
failure models and for land planning and risk assessment.
2 Regional setting and the 2015 Sabah earthquake
2.1 Seismotectonic setting 60
Sabah region lies in a complex seismotectonic setting at the junction of Australian plate, Philippine plate and the Sundaland
block. Sabah belongs to Malaysia and it is located in the northern part of Borneo Island. Seismicity is diffuse along the plate
boundaries (Fig. 1a), where the subduction interface is located. Less frequent earthquakes have been recorded in the Ranau
region, including a Mw 5.3 in 1966 and a Mw 5.2 in 1991. Offshore Sabah, the NW Borneo trench is a deep-water fold-and-
thrust belt; its structural setting is debated and it has been related either to gravity sliding or to tectonic shortening (Hall, 65
2013; Sapin et al., 2013). GPS measurements show that, despite the absence of seismicity, the NW Borneo trench may
accommodate up to 5 mm/yr (Simons et al., 2007). GPS data also assess that Sabah is actively deforming, albeit at a slower
rate than the surroundings (Simons et al., 2007; Mustafar et al., 2017); this contradicts the earlier view of a rigid Sundaland
block.
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Figure 1: a) Regional seismotectonic setting of SE Asia showing main plate boundaries and M > 5 earthquakes (USGS/NEIC
catalogue); AUS: Australian Plate, SUN: Sundaland block; the red rectangle marks the area enlarged in b. b) Digital elevation
model derived from 30-m resolution ALOS DEM; focal mechanism is from USGS, epicenter and seismogenic box after Wang et al.
(2017); intensity data from DYFI program are shown as well. 75
2.2 The study area and the 2015 Sabah earthquake
Sabah is characterized by rugged topography, dominated by the Crocker and Trusmadi Ranges; the highest peak is Mount
Kinabalu, reaching 4100 m asl and representing the first World Heritage Site in Malaysia. It is a granitic pluton exposed over
a ca. 120 km2-wide area and it was exhumed about 7 My ago (Cottam et al., 2010). Beside the granitic pluton, Oligocene-80
Lower Miocene sandy turbidites constitutes the Crocker Formation, while the Trusmadi Formation comprises argillite, slate,
siltstone and sandstone with volcanics (Hutchinson et al., 2000). Sabah is covered by thick tropical forests and the climate is
characterized by monsoonal seasons (November to March and May to September); rainfall is high (> 3000 mm/yr) but
highly variable due to local topography (Menier et al., 2017).
Several faults have been mapped in the region, mainly based on tectonic geomorphology and watershed analyses (e.g., 85
Mathew et al., 2016; Menier et al., 2017; Shah et al., 2018). Sedimentary basins bounded by normal faults are indeed aligned
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along the Crocker and Trusmadi Ranges; geomorphological features pointing to a recent tectonic activity include triangular
facets, scarps and river anomalies (Tija, 2007; Tongkul, 2017; Wang et al., 2017). Laterally offset features (terraces, river
courses) allow to identify strike-slip structures that crosses Borneo (Shah et al., 2018).
The Mw 6.0 Sabah earthquake occurred on 4 June 2015 at 23.15 UTC at 10 km depth (USGS, 2018); it is the largest 90
instrumental event in the province. The event had a normal focal mechanism, with a NE-SW oriented main focal plane. The
seismogenic box and relocated epicenter after Wang et al. (2017) are shown in Fig. 1b. The seismogenic source of the 2015
Sabah earthquake belongs to a system of normal faults of about 200 km length that lies at the foothills of the Crocker Range
(Tjia, 2007; Tongkul, 2016, 2017; Wang et al., 2017).
Did You Feel It? data acquired by the USGS include sparse intensity estimations, with maximum values of 6.6 on the CDI 95
(Community Decimal Intensity) scale at Ranau. The earthquake did not generate primary surface faulting and a directivity
toward Mt. Kinabalu has been inferred based on teleseismic waveform inversion and space-based geodesy (Wang et al.,
2017). The event generated thousands of landslides and rockfalls (Tongkul, 2017; Wang et al., 2017) which caused the death
of 18 people along hiking routes on Mt. Kinabalu. Additionally, water infrastructures were damaged and local businesses
badly affected (Lehan et al., 2020). 100
The landslide deposits provided abundant sediments for subsequent remobilization as debris flows following heavy rainfall
(highest rainfall intensity of 14.2 mm/h on 15 June 2015; Rosli et al., 2021a). Some detailed studies of debris flow were
performed on limited areas through Lidar techniques (Yusoff et al., 2016; Rosli et al., 2021a, b), but a comprehensive
inventory of all the triggered landslides is still lacking and is the focus of this paper.
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3 Materials and methods 110
3.1 Landslide inventory
I realized a landslide inventory in an 810 km2-wide area (red polygon in Fig. 2a) using a GIS platform; the inventory is based
on visual interpretation of 3-m resolution PlanetScope satellite images. I used high resolution Google Earth images to gain a
regional overview, while individual landslides are mapped on ortho-rectified 4-band multispectral tiles. The landslide
inventory is realized on images taken on 23 February, 18 and 21 March 2016; such images postdate the earthquake by about 115
8 months and thus the inventory has to be intended as the cumulative damage due to the mainshock, aftershocks and
additional remobilization (e.g., debris flows, Rosli et al., 2021a, b). This is a limitation that should be considered when
comparing the obtained database with other case histories; it is due to persistent cloud cover that prevented the acquisition of
clear images over the entire area closer in time to the mainshock.
Landslides were mapped as polygons encompassing the source and deposit areas. Shallow landslides were easily 120
recognizable in forested regions, since they stripped off the vegetation (Fig. 2b). Mapping was more difficult in the higher
part of Mt. Kinabalu pluton, since bare rock was already outcropping before the earthquake; in this sector, brighter colors on
post-event images was used as an indication of the occurrence of slope movements. Landslide mapping may suffer from
problems related to amalgamation of coalescing polygons (Marc and Hovius, 2015), which further bias the computation of
landslide number. To avoid this problem, when multiple source areas coalesce in the lower sector, I used the split tool to 125
divide polygons.
3.2 Landslide number density (LND), landslide areal percentage (LAP) and ESI-07 intensity assignment
The study area (Fig. 2a) was divided in a grid of 1 km x 1 km cells and the centroids of each landslide polygon were
extracted. The LND is calculated as the sum of the centroids fitting in each 1 km x 1 km grid cell. LAP represents the
percentage of the area covered by the mapped polygons within each cell. Additionally, I define landslide area as the sum 130
of areas of individual landslides, while I use affected area to indicate the region encompassing all the mapped slope
movements.
ESI-07 intensity assignment requires to estimate volumes of each landslide. This can be achieved via field surveys, which
however are not feasible for all the landslide population, or by differencing of high resolution pre- and post-landslide
elevation models. When such data are not available, area-volume empirical relations are commonly used (Guzzetti et al., 135
2009; Fan et al., 2019); to assess the epistemic uncertainty related to the area-volume conversion, I tested multiple equations
(Table 1), which have the general form:
󰇛󰇜
Figure 2: a) Slope map and hillshade derived from 30-m resolution ALOS DEM; the red polygon is the study area, while landslides
are shown in black; b) Planet Labs image (3-m resolution) taken on 18 March 2016 showing widespread landslides; c) ©Google
Earth image of a rockfall on top of Mt. Kinabalu (location is the green dot in Fig 2a).
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Where V is volume in m3, Ai is the area of individual landslides in m2, and α and γ are fitting coefficients. 140
Table 1: Area-volume scaling relations considered in this study.
Nr.
Equation
α
γ
Notes
1
Guzzetti et al., 2009
0.074
1.450
Global, slide type, several triggering processes
2
Larsen et al., 2010 (all)
0.146
1.332
Global, all types
3
Larsen et al., 2010 (bedrock)
0.186
1.350
Global, bedrock
4
Larsen et al., 2010 (soil)
0.257
1.145
Global, soil
5
Xu et al., 2016
1.315
1.208
Subset of landslides triggered by 2008 Wenchuan
earthquake
6
Massey et al., 2020
0.891
1.109
Landslides triggered by 2016 Kaikoura earthquake; volume
estimated from Lidar-derived data
The ESI-07 guidelines (Michetti et al., 2004; 2007) include typical values of landslide volume for each intensity degree;
thus, I used the volume derived with Equation (1) to assign an ESI-07 intensity to each landslide polygon, following the 145
thresholds presented in Table 2. It must be noted that landslide dimension saturates at ESI-07 X (i.e., it is not possible to
define degrees higher than X based on individual landslides). To compare ESI-07 to LND and LAP values, the highest ESI-
07 value is retained for each grid cell, adopting an approach similar to Ota et al. (2009) and Silva et al. (2013).
Finally, the Sabah case study is compared to other landslide inventories on a global scale; in particular, I used the scaling
relations of Malamud et al. (2004a, b), which relate the number of triggered landslides, earthquake magnitude and total 150
landslide area:
 󰇛󰇜󰇛󰇜
  󰇛󰇜󰇛󰇜
   󰇛󰇜
155
Where N is the number of landslides, M is magnitude and ALT is the total landslide area in km2. Equations (2) and (3) are
from Malamud et al. (2004b), while Equation (4) is from Malamud et al. (2004a).
Table 2: Landslide volumes used in this study to assign ESI-07 local intensities.
ESI-07 degree
VI
VII
X - XII
Landslide volume (m3)
<103
103 104
>106
160
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4 Results and discussion
4.1 Spatial distribution of landslides
The inventory for the 2015 Sabah earthquake comprises 5198 landslides mapped in an 810-km2 wide area, thus resulting in
an average of 6.4 landslides/km2. Landslides have an average area of 3625 m2. The slope movements are not equally
distributed in space, but instead concentrates in a zone of high steepness along the slopes of Mt. Kinabalu (Fig. 2a). Outside 165
the Mt. Kinabalu pluton, landslides clusters in small patches, while the surrounding territory is unaffected. Summing the area
of single landslides, a total of 18.84 km2 is obtained, which represents the 2.33% of the investigated area. Landslides are
located north of the epicenter (Fig. 2a), possibly reflecting the rupture directivity which enhanced ground shaking in this
direction (Wang et al., 2017).
Fig. 3 presents the grid maps of landslide density number (LND) and of landslide area percentage (LAP). Maximum values 170
reach LND = 99 landslides/km2 and LAP = 68%; the mapped area includes 895 cells, but landslides were mapped only in
about 67% of the cells (see the distribution of landslides in Fig. 2a). Overall, there is a good agreement between LND and
LAP and the spatial distribution of the two descriptors is fairy similar (Fig. 3). The actual landslides can be compared to
expected ground failures: the USGS routinely provides such information in the aftermath of strong events, using models
based on seismological, topographic and geological variables (Nowicki Jessee et al., 2018). For the Sabah earthquake the 175
model correctly recognizes the slopes of Mt. Kinabalu as the focus of the highest damage and matches fairly well with actual
slope movements.
Figure 3: Grid maps of Landslide Number Density (LND, a) and Landslide Area Percentage (LAP, b). 180
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4.2 Scaling relations among LND, LAP and ESI-07 intensity
I compute the landslide volume using Equation (1); in order to test the influence of a given scaling relation, I test six
different models (see Table 1). They encompass different climatic and regional settings and have been derived either from
global (Guzzetti et al., 2009; Larsen et al., 2010) or regional (Xu et al., 2016; Massey et al., 2020) datasets. Two of the 185
equations (Xu et al., 2016; Massey et al., 2020) derive from earthquake-induced landslides, while the others refer to
landslides triggered by multiple processes (i.e., earthquakes, rainfall, snowmelt).
Fig. 4 presents the grid maps for the six scaling relations: when multiple landslides lie in a single cell (i.e., LND > 1), I retain
the highest ESI-07 value. Notwithstanding the selected scaling relation, the spatial distribution of ESI-07 values shows a
common pattern; this is further summarized in Fig. 4g, where the number of cells belonging to each ESI-07 intensity class is 190
shown for the six relations. The Larsen et al. (2010) soil regression results in lower intensities than the other equations,
while the Xu et al. (2016) regression provides the highest number of cells with intensity VIII. The number of cells having
an ESI-07 intensity X ranges from 2 (Larsen et al., 2010 soil) to 28 (Guzzetti et al., 2009; Xu et al., 2016), which
represent the 0.2 3.1% of the total cells. The comparable distribution of ESI-07 values demonstrates that input data (i.e.,
landslide inventory) are far more important that the choice of the area-volume relation. 195
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Figure 4: Grid maps of ESI-07 local intensity obtained by adopting different area-volume scaling relations.
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LND and LAP have been frequently explored in the realm of earthquake-triggered landslide inventories (e.g., Fan et al.,
2018; Ferrario, 2019; Ghaedi Vanani et al., 2021; Xu et al., 2014), while a grid approach has been seldom applied in the 200
assessment of ESI-07 intensity, with the exceptions of Ota et al. (2009) and Silva et al. (2013). The current work is the first
attempt toward a quantitative relation among LND/LAP and ESI-07. In Fig. 5 I show the distribution of ESI-07 intensity
with respect to LND and LAP values of each grid cell. The graphs refer to the results obtained with the Guzzetti et al. (2009)
equation, but a similar picture is obtained when applying the other equations of Table 1.
The median LND and LAP values for each ESI-07 intensity class are presented in Table 3: it can be noticed that in some 205
instances (Larsen et al., 2010 bedrock” and soil; Massey et al., 2020) LND values for the ESI-07 class IX are higher than
X, but this inversion is possibly driven by the limited number of cells in the ESI-07 X class. Median LAP values instead do
not show such inversions, eventually suggesting that LAP is a better descriptor than LND for assessing the damage. This fact
is not surprising, since LND has a point validity, while LAP is by definition intimately related to an area assessment.
Additionally, LAP may be more stable than LND with respect to epistemic uncertainty, because the number of mapped 210
landslides (and thus LND) is strongly dependent from the resolution of images used for building the inventory.
Figure 5: Plots of LND (a) and LAP (b) vs local ESI-07; intensity computed using the Guzzetti et al. (2009) scaling relation is
shown as an example. 215
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Table 3: Median values of LND and LAP for each ESI-07 intensity degree, obtained using the area-volume scaling relations of
Table 1.
Landslide Number Density
Landslide Area Percentage
ESI-
07
Guzzetti
Larsen
(all)
Larsen
(bedrock)
Larsen
(soil)
Xu
Massey
Guzzetti
Larsen
(all)
Larsen
(bedrock)
Larsen
(soil)
Xu
Massey
VI
1
1
1
2
1
1
0.049
0.050
0.041
0.088
0.022
0.041
VII
3
3
3
5
2
3
0.279
0.337
0.241
0.697
0.105
0.317
VIII
7
8
7
17
5
9
1.552
1.911
1.529
5.761
0.742
2.279
IX
27
29
27
33
17
35
7.391
13.548
8.229
29.852
5.867
21.600
X
33
26
32
23
33
23
30.354
33.020
30.355
55.477
30.103
44.992
The derivation of reliable scaling relations among ESI-07 intensity and LND/LAP cannot be based on the single case study 220
of the Sabah earthquake. Scaling relations are expected to have a regional validity and thus it is necessary to investigate the
inter-event variability (i.e., comparison among different earthquakes), by considering earthquakes occurred in different
seismotectonic and climatic settings.
The categorization of LND and LAP values may be useful to investigate the variable degree of damage on the territory. Xu
et al. (2013) propose numerical thresholds to correlate LND and LAP with macroseismic intensity (Chinese scale) following 225
the 2008 Wenchuan earthquake. Hancox et al. (2002) included information on landslides triggered by historical earthquakes
in New Zealand for assigning intensities on the Modified Mercalli (MM) scale. Beyond earthquake-induced landslides,
Bessette-Kirton et al. (2019) analyzed failures triggered in Puerto Rico (US) by Hurricane Maria using a 2 km x 2 km grid;
they classified the territory as either having no landslides, low density (1-25 landslides/km2) and high density (> 25
landslides/km2). 230
In Fig. 6, the median LND and LAP values (see Table 3) derived for the Sabah earthquake are compared to the thresholds
proposed by Xu et al. (2013). A striking inter-event variability can be noticed: the difference between Wenchuan and Sabah
earthquakes is much higher than the influence of the area-volume relation used to assess ESI-07 intensities. One limitation of
the data in Fig. 6 is that ESI-07 and Chinese intensity scales are not fully comparable. Inter-event variability is not
surprising, and a more comprehensive assessment may be the focus of future efforts: as a research hypothesis, I propose to 235
apply the workflow presented here for the Sabah case to several inventories of earthquake-triggered landslides (Schmitt et
al., 2017; Tanyas et al., 2017). The ESI-07 scale seems the most appropriate classification, since it is based only on EEEs
and it has a global validity. A statistical approach can then be pursued, investigating either the intra-event (e.g., dispersion of
LND and LAP values for each intensity class) and inter-event (comparison among different earthquakes) variability.
Geostatistical models (e.g., Lombardo et al., 2021) could be applied as well. 240
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Figure 6: Comparison among LAP and LND classes proposed for the Sabah and Wenchuan earthquakes (this study and Xu et al.,
2013, respectively). This study adopts the ESI-07 scale, while the classes by Xu et al. (2013) refer to the Chinese intensity scale.
245
4.3 Comparing the 2015 Sabah case study with worldwide data
Here I compare the Sabah case study to other landslide inventories on a global scale, to evaluate its characteristics in a
broader context; eventual peculiar characteristics are then discussed. Fig. 7 summarizes the characteristics of a number of
earthquake-triggered landslide inventories, represented as a function of earthquake moment magnitude. Open symbols
represent data collected from published literature; the dataset is available on the Zenodo repository (see Data availability 250
section). Fig. 7a shows the number of triggered landslides with respect to Mw; Equation (2) and its confidence bounds are
shown as well. The Sabah case history lies well above the expected value, probably because it includes both strictly
earthquake-triggered landslides and material remobilized by subsequent debris flows (Rosli et al., 2021a, b). Fig. 7b shows
the dimension of the area affected by landslides; in this case, the Sabah inventory is in good agreement with global studies
and lies just below the upper bound proposed by Keefer (1984; solid line). Fig. 7c presents the total landslide area (sum of 255
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areas of individual landslides), together with Equation (3) and relative confidence bounds; the Sabah earthquake seems an
outlier in the data population, although the debris flow remobilization may make the landslide area estimate not fully reliable
for the Sabah earthquake. On the contrary, by adopting the relation based on number of landslides (i.e., Equation 4), the
expected landslide area of 15.96 km2 is in fair agreement with the observed value of 18.84 km2. It must be noted that the
works by Keefer (1984) and Malamud et al. (2004b) were based on a subset of the datapoints in Fig. 7; many inventories 260
were realized in the last few years, possibly arguing for the need of updating the scaling relations. Nevertheless, for a given
Mw the plots show a high variability, spanning about 3 orders of magnitude in terms of number of landslides, affected area
and landslide area. Such behavior is related to inherent variability in landslide occurrence across varying geological settings:
the local conditions play a prominent role in driving secondary earthquake environmental effects (Keefer, 2002; Michetti et
al., 2007; Fan et al., 2019). Finally, Fig. 7d shows the distribution of ESI-07 epicentral intensity as a function of Mw. The 265
ESI-07 epicentral intensity is assigned based either on the dimension of the affected area, or on the dimension of the biggest
effects. I assign an ESI-07 epicentral intensity of IX to the Sabah case history: the area encompassing all the mapped
landslides is 810-km2 wide, which fits the description in the ESI-07 guidelines (the affected area is usually less than 1000
km2; Michetti et al., 2004). The Sabah case study is widely in agreement with the dataset.
270
Figure 7: Comparison of the Sabah earthquake with global studies: a) number of landslides vs Mw, regression is Equation (2); b)
affected area vs Mw, upper bound after Keefer, 1984; c) landslide area vs Mw, regression is Equation (3); d) ESI-07 epicentral
intensity.
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16
The Sabah earthquake produced a high number of slope movements and a high landslide area (sum of areas of individual 275
landslides) than events of similar magnitude. This fact can be related to two alternative explanations:
- The 2015 earthquake is the strongest event in Sabah in the instrumental era: infrequent strong events may be highly
efficient in triggering a large number of landslides.
- I realized the inventory on satellite images acquired 8 months after the earthquake, thus slope movements triggered
by processes other than the mainshock may be included. 280
The latter point highlights the challenge of documenting chains of hazards: indeed, prolonged rainfall reactivated the
landslide deposits as debris flows (Rosli et al., 2021); if the chain of hazards occurs in a short time interval (e.g., few days),
only the cumulative damage can be assessed. The remobilization of deposits results in enhanced rates of slope movements;
these processes may take 5-10 years (Avsar et al., 2016) and generate bank erosion or floodplain accretion downstream, thus
affecting flood frequency (Fan et al., 2019). Stochastic natural processes (e.g., earthquakes) and seasonal hazards (e.g., 285
rainfall, flood) imply different modeling tools and calls for complex risk reduction strategies (Quigley et al., 2020);
understanding cause-effect relationships and latent vulnerabilities helps in informing such efforts (Pescaroli & Alexander,
2016). Additionally, landslide phenomena triggered by human activities are increasing and have an influence comparable, if
not higher, than natural processes such as rainfall or earthquakes (Froude & Petley, 2018; Tanyas et al., 2022).
5 Conclusions 290
In this paper, I present an inventory of 5198 landslides triggered by the Mw 6.0 Sabah earthquake, occurred on 4 June 2015.
I investigate the spatial pattern of landslides by means of the Landslide Number Density (LND) and the Landslide Area
Percentage (LAP) on a regular grid of 1-km2 cells. I estimate the ESI-07 intensity for each cell taking advantage of published
area-volume scaling relations and demonstrating that the epistemic uncertainty related to the chosen equation has limited
implications on the final output. 295
I compare the Sabah earthquake with other events on a global scale, finding a good correspondence in terms of total affected
area and ESI-07 intensity. I believe that the methodological workflow presented in this paper can be successfully exported in
other territorial settings and that joining scientific communities that rarely share their results (e.g., communities responsible
for the realization of inventories and for ESI-07 scale assessment) is beneficial for a more comprehensive understanding of
the overall earthquake damage. 300
Data availability: The inventory in shapefile format and data used to draw Fig. 7 are available on the Zenodo repository
(https://zenodo.org/record/6107187#.Yg0AHZbSI2w). Plate boundaries (Fig 1a) are from
https://github.com/fraxen/tectonicplates, earthquakes are from the USGS catalogue 305
(https://earthquake.usgs.gov/earthquakes/search/). The USGS page (USGS, 2018) for the Sabah earthquake is available at
https://doi.org/10.5194/nhess-2022-69
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17
https://earthquake.usgs.gov/earthquakes/eventpage/us20002m5s/executive. ALOS-DEM AW3D30 is provided by JAXA
(Japan Aerospace Exploration Agency) and is available at
https://www.eorc.jaxa.jp/ALOS/en/dataset/aw3d30/aw3d30_e.htm.
310
Acknowledgments: Planet is thanked for providing PlanetScope imagery as part of the Education and Research program
(https://www.planet.com/). I chose the Sabah earthquake as a case history following the post appeared on The landslide
blog” by Dave Petley (https://blogs.agu.org/landslideblog/2019/12/15/mount-kinabalu-google-earth/). Six students from
Liceo Galilei (Erba, Italy) helped in realizing the inventory in the framework of a PCTO project.
315
Declaration of competing interests: The authors declare that they have no conflict of interest.
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