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Development of the GEM 
Vulnerability Database 
Catalina Yepes-Estrada, Vitor Silva, Helen Crowley 
GEM Foundation, Pavia, Italy
Development of the GEM Vulnerability Database
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 for 
Seismic Risk Assessment and Loss 
Estimation
Development of the GEM Vulnerability Database
Development of the GEM Vulnerability Database
Development of the GEM Vulnerability Database
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 
• Sa(T) 
• PGV 
• Sd(T) 
• PGD 
• MMI 
• IA 
• CAV 
• RSD 
• Discrete  5% and 95% prediction interval 
• Continuous  Coefficient of variation of the Mean 
and the Standard deviation 
Correlation matrix 
Method of estimation Uncertainty 
• Analytical 
• Empirical 
• Expert Opinion
Vulnerability Functions 
Vulnerability functions represent 
the probabilistic distribution of 
loss ratio given a certain level of 
ground motion 
• Discrete 
• Continuous 
Response variable 
• Damage factor 
• Fatality rate per occupant 
• Nonfatal injury rate per occupant 
• Fatality rate per exposed population 
• Direct economic factor 
• 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 
Response variable 
• Damage factor 
• Fatality rate per occupant 
• Nonfatal injury rate per occupant 
• Fatality rate per exposed 
population 
• Direct economic factor 
Uncertainty 
• Coefficient of variation 
• Lognormal or Beta distribution 
shapes
Damage-to-loss Functions 
Fragility + Damage-to-loss = Vulnerability
Capacity Curves 
Capacity curves characterise the 
structural behaviour in terms of 
physical damage 
Engineering demand 
parameter (EDP) 
• Interstorey drift 
• Global drift 
• Lateral roof displacement 
• Chord rotation 
• Curvature 
• Spectral displacement 
Response variable 
• Base shear 
• Base bending moment 
• Spectral acceleration 
They are used to derive 
fragility functions using 
nonlinear static procedures
Development of the GEM Vulnerability Database
Development of the GEM Vulnerability Database
Development of the GEM Vulnerability Database
Development of the GEM Vulnerability Database
Development of the GEM Vulnerability Database
Data inventory 
More than 750 functions for 37 countries/regions
Thank you! 
Data inventory 
More than 750 functions for 37 countries/regions
Please attribute to the GEM Foundation with a link to - 
www.globalearthquakemodel.org 
Except where otherwise noted, this work is licensed under: 
creativecommons.org/licenses/by-nc-nd/4.0/

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Development of the GEM Vulnerability Database

  • 1. Development of the GEM Vulnerability Database Catalina Yepes-Estrada, Vitor Silva, Helen Crowley GEM Foundation, Pavia, Italy
  • 3. 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 for Seismic Risk Assessment and Loss Estimation
  • 7. 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 • Sa(T) • PGV • Sd(T) • PGD • MMI • IA • CAV • RSD • Discrete  5% and 95% prediction interval • Continuous  Coefficient of variation of the Mean and the Standard deviation Correlation matrix Method of estimation Uncertainty • Analytical • Empirical • Expert Opinion
  • 8. Vulnerability Functions Vulnerability functions represent the probabilistic distribution of loss ratio given a certain level of ground motion • Discrete • Continuous Response variable • Damage factor • Fatality rate per occupant • Nonfatal injury rate per occupant • Fatality rate per exposed population • Direct economic factor • 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
  • 9. 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 Response variable • Damage factor • Fatality rate per occupant • Nonfatal injury rate per occupant • Fatality rate per exposed population • Direct economic factor Uncertainty • Coefficient of variation • Lognormal or Beta distribution shapes
  • 10. Damage-to-loss Functions Fragility + Damage-to-loss = Vulnerability
  • 11. Capacity Curves Capacity curves characterise the structural behaviour in terms of physical damage Engineering demand parameter (EDP) • Interstorey drift • Global drift • Lateral roof displacement • Chord rotation • Curvature • Spectral displacement Response variable • Base shear • Base bending moment • Spectral acceleration They are used to derive fragility functions using nonlinear static procedures
  • 17. Data inventory More than 750 functions for 37 countries/regions
  • 18. Thank you! Data inventory More than 750 functions for 37 countries/regions
  • 19. Please attribute to the GEM Foundation with a link to - www.globalearthquakemodel.org Except where otherwise noted, this work is licensed under: creativecommons.org/licenses/by-nc-nd/4.0/

Editor's Notes

  • #2: In GEM Foundation we are working on the development of a Database in which FF, VF, D-T-LF and CC can be stored and globally shared. Users will be able to visualize each function, export the info and also to upload their own functions
  • #3: The database will be publically available through the OQ-platform Web-based platform that hosts a wide range of seismic hazard, exposure and vulnerability models databases and tools - OQ-engine
  • #4: Because a VM capable of providing either the distribution of loss ratio or the PoE a number of DS, for a set of IM levels But the construction of a physical VM is a very challenging task. It involves a robust data that characterize the material and geometrical properties of the structure + Adequate understanding of structural modelling and statistical methodologies Information is commonly NOT presented in a usable format
  • #6: Mandatory fields
  • #7: If a new function is going to be updated… to the type of assessment selected, different input information will be required
  • #12: Capacity Spectrum method ATC-40 Displacement coefficient method FEMA-440 N2 Method – Fajfar SPO2IDA
  • #13: The available curves can be visualized….
  • #16: QR provides useful information regarding the reliability of the data, methodology and results, and it helps users to understand what is the best fit for their purposes Presentation about this topic will be given during this conference by Dr Meslem
  • #17: To extract FF/VF in the format required by the OQ-engine
  • #18: Global Vulnerability Consortium European SYNER-G project GEM Risk Team
  • #19: Information for countries located in seismic prone regions We invite you to participate in the database