
Fig.
1: Classification of elements participating to natural risk linked
to landslides for landslides (modified after Jaboyedoff et al., 1999).

Fig.
2: Illustration of a cost benefit analysis. Here the costs of mitigation
increased dramatically with degree of mitigation and the benefit reaches
a plateau. The optimal result is obtained in for an intermediate value
of mitigation (Modified after Nebel and Wright, 1996)
The global
approach of natural risk management must lead to acceptable costs. This
point must never be forgotten for scientists and engineers in the design
of methodology and design of countermeasures.

Fig.
3: Different level of knowledge that must be clearly identified
for a risk analysis. The use of GIS is recommended (modified after Jaboyedoff
et al., 1999).
Elements
leading to risks assessment in short: Example of slope landslide
Adapted
from: Multilingual glossary of
rock-fall hazard and risks (Related sites: www.crealp.ch
and www.risknat.org)
Danger
D describes the characteristics, i.e. the intensity
or magnitude of a localized existing or potential phenomenon of slope
instability, with specific geometric and mechanical characteristics.
The Probability of failure Pr of a landslide
is that a specific volume, within a given time unit and within the considered
slope break appart. Probability
of propagation Pp is the probability
that a portion of the landslide, with given characteristics, and located
in a given portion of the slope, moves or transits across a considered
area. Hazard
H is the probability of occurrence in a given location
and time period of a dangerous phenomenon (landslide) of a given type.
Coupling Pr (frequency) and Pp (spatial ratio) the
hazard is given for a point x and the danger D:
H(x,D)
= Pr(D) * Pp(x,D)
Their
dimension is a frequency.
Elements
at risk E are population, property,
economic activity, public services or environmental goods situated in
a location exposed to danger. The
Worth of element at risk W is the economic value, or number of units of each element at risk situated
in a given location:
W
= W(E)
Vulnerability
V is the degree of loss of one or more elements at risk resulting from
a dangerous phenomenon with a given intensity:
V = V(D, E)
It
varies from 0% (no loss) to 100% (total loss).
Potential
worth of loss Wl
Potential
loss caused by an event with a given intensity.
Wl
= Wl(D;E) = W(E) * V(D;E)
It
is expressed either in number of exposed unites or in economic value.
Specific
risk Rs is the expected degree of loss within
a given period of time of an element at risk that can be caused by a
dangerous phenomenon with a given intensity:
Rs
= Rs(D;E) = H(D) * V(D;E)
It
is expressed as an annual probability. Total
risk Rt is the expected losses of
lives, persons injured, property damaged, and economic activity disrupted
due to a particular dangerous phenomenon:
Rt
= Rt (D;E) = H(I) * V(D;E) * W(E)
Rt
= Rs(D;E) * W(E)
Rt
= H(D) * Wl(D;E)
It
is expressed either in terms of number of exposed units, or in financial
terms.
REFERENCES
- Canuti,
P., and N. Casagli, Considerazioni sulla valutazione del rischio
di frana, fenopmeni franosi e centri abitati, Atti del congresso
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1994.
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Caractérisation et cartographie de l'aléa dû aux mouvements de
terrain. Collection "Environnement - Les risques naturels",
pp. 91, Laboratoire Central des Ponts et Chaussées, 2000.
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D. M., and D. J. Varnes, Landslide types and processes, in
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Mitigation, vol. Special Report 247, edited by, pp. 36-75, National
Academy Press, Washington, D.C., 1996.
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H. H., Landslide risk - Systematic approaches to assessment management,
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Glossary: international agreed glossary of basics terms related
to Disaster Management, pp. 83, DHA-Geneva, 1992.
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D.:Terminologie. In, Prévention des mouvements de versants et des
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B.J. and Wright, R.T., Environmental Science. Fifth ed. Prentice Hall.
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de terrain. Guide méthodologique, pp. 71, Ministère de
l'aménagement du territoire et de l'environnement, ministère de l'équipement,
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A suggested method for reporting a landslide. The International
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