Development of the GEM Vulnerability DatabaseCatalina Yepes-Estrada, Vitor Silva, Helen Crowley

GEM Foundation, Pavia, Italy

Why do we need a vulnerability database?

• To take advantage of existing models

• To facilitate the modelling process

• To compare similar functions

• To develop new physical vulnerability models

• To share the results with the scientific/engineering community

Vulnerability Models forSeismic Risk Assessment and Loss

Estimation

Fragility Functions

Set of curves that describe the probability of exceedance certain damage states given an intensity measure level.

Continuous Discrete

Intensity measure (IM)• PGA• PGV• PGD

• Sa(T)• Sd(T)• MMI

• IA• CAV• RSD

• Discrete 5% and 95% prediction interval• Continuous Coefficient of variation of the Mean

and the Standard deviation Correlation matrix

UncertaintyMethod of estimation• Analytical• Empirical• Expert Opinion

Vulnerability Functions

Vulnerability functions represent the probabilistic distribution of loss ratio given a certain level of ground motion

• Discrete• Continuous

• Damage factor• Fatality rate per occupant• Nonfatal injury rate per occupant• Fatality rate per exposed population• Direct economic factor

Response variable

• Discrete Mean and Coefficient of variation Lognormal or Beta distributions

• Continuous Mean and Standard deviation + Coefficient of variation of the Mean and the Standard deviation

Uncertainty

Damage-to-loss Functions

Damage-to-loss Functions represent the distribution of loss given a damage state.

They are used to transform fragility functions into

vulnerability functions

• Damage factor• Fatality rate per occupant• Nonfatal injury rate per

occupant• Fatality rate per exposed

population• Direct economic factor

Response variable

• Coefficient of variation• Lognormal or Beta distribution

shapes

Uncertainty

Damage-to-loss Functions

+Fragility Damage-to-loss = Vulnerability

Capacity Curves

Capacity curves characterise the structural behaviour in terms of physical damage

• Base shear• Base bending moment• Spectral acceleration

Response variable

• Interstorey drift• Global drift• Lateral roof displacement • Chord rotation• Curvature• Spectral displacement

Engineering demand parameter (EDP)

They are used to derive fragility functions using nonlinear static procedures

Data inventory

More than 750 functions for 37 countries/regions

Thank you!

Data inventory

More than 750 functions for 37 countries/regions

Except where otherwise noted, this work is licensed under: creativecommons.org/licenses/by-nc-nd/4.0/

Please attribute to the GEM Foundation with a link to - www.globalearthquakemodel.org