EQRM users,

 

This feature allows you to define points on a vulnerability curve to predict loss based on Modified Mercalli Intensity.

 

The run_type parameter has been modified to support this functionality:

 

-          ‘risk_csm’ – existing capacity spectrum method based model

-          ‘risk_mmi’ – user defined vulnerability curve

 

Note: to support existing parameter files run_type=’risk’ will automatically be modified to run_type=’risk_csm’ at run time.

 

Input File: <input_dir>/<site_tag>_vulnerability.xml

 

Vulnerability curves in EQRM use the Natural Hazard’s Risk Markup Language (NRML) specified by The GEM Foundation for use in OpenQuake. An example vulnerability file is shown below.

 

<?xml version="1.0"?>

<nrml xmlns="http://openquake.org/xmlns/nrml/0.3"

 xmlns:gml="http://www.opengis.net/gml" gml:id="nrml">

 <vulnerabilityModel>

  <discreteVulnerabilitySet vulnerabilitySetID="HAZUS"

   assetCategory="buildings" lossCategory="economic_loss">

   <IML IMT="MMI">5 5.5 6 6.5 7 7.5 8 8.5 9 9.5 10 10.5 11</IML>

   <discreteVulnerability vulnerabilityFunctionID="NEL 1.4.1"

    probabilisticDistribution="N">

    <lossRatio>2.01E-07 1.94E-05 0.000587335 0.007251983 0.044241602

     0.155404744 0.356384523 0.594100748 0.790940996 0.911550187

     0.968789668 0.990643449 0.997571724

    </lossRatio>

    <coefficientsVariation>0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3

     0.3 0.3

    </coefficientsVariation>

   </discreteVulnerability>

   <discreteVulnerability vulnerabilityFunctionID="NEH 4.1.1"

    probabilisticDistribution="N">

    <lossRatio>1.01E-13 3.73E-10 2.01E-07 2.37E-05 0.000840624

     0.011332954 0.070471569 0.237465156 0.5 0.750428967 0.906081768

     0.973002925 0.993935756

    </lossRatio>

    <coefficientsVariation>0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3

     0.3 0.3

    </coefficientsVariation>

   </discreteVulnerability>

   <discreteVulnerability vulnerabilityFunctionID="NEL 2.1.1"

    probabilisticDistribution="N">

    <lossRatio>8.80E-17 3.08E-12 8.87E-09 3.57E-06 0.000301138

     0.007243107 0.063879826 0.255612903 0.563409229 0.824333664

     0.952020555 0.990906067 0.998762343

    </lossRatio>

    <coefficientsVariation>0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3

     0.3 0.3

    </coefficientsVariation>

   </discreteVulnerability>

   <discreteVulnerability vulnerabilityFunctionID="ER 1.1.1.1"

    probabilisticDistribution="N">

    <lossRatio>1.60E-25 1.23E-17 8.52E-12 1.46E-07 0.000132954

     0.01170814 0.164580979 0.593551025 0.916184727 0.993076378

     0.999755826 0.999995957 0.999999965

    </lossRatio>

    <coefficientsVariation>0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3

     0.3 0.3

    </coefficientsVariation>

   </discreteVulnerability>

   <discreteVulnerability vulnerabilityFunctionID="NEL 3.2.1"

    probabilisticDistribution="N">

    <lossRatio>1.48E-08 1.46E-06 5.10E-05 0.00079375 0.006486951

     0.031635882 0.101942058 0.235937951 0.420815277 0.614746564

     0.775778887 0.885233282 0.947862317

    </lossRatio>

    <coefficientsVariation>0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3

     0.3 0.3

    </coefficientsVariation>

   </discreteVulnerability>

   <discreteVulnerability vulnerabilityFunctionID="NEL 1.2.1"

    probabilisticDistribution="N">

    <lossRatio>0.000113882 0.00240425 0.021250659 0.096643474

     0.265261475 0.5 0.721302041 0.872407761 0.951287624 0.98418236

     0.995542434 0.998889016 0.999750924

    </lossRatio>

    <coefficientsVariation>0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3

     0.3 0.3

    </coefficientsVariation>

   </discreteVulnerability>

   <discreteVulnerability vulnerabilityFunctionID="EC 2.2.2.1"

    probabilisticDistribution="N">

    <lossRatio>4.98E-06 7.76E-05 0.000681337 0.003805858 0.014823619

     0.043189199 0.099472641 0.18932183 0.308769217 0.444766991

     0.580456473 0.701364547 0.799114523

    </lossRatio>

    <coefficientsVariation>0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3

     0.3 0.3

    </coefficientsVariation>

   </discreteVulnerability>

   <discreteVulnerability vulnerabilityFunctionID="NEL 3.1.1"

    probabilisticDistribution="N">

    <lossRatio>3.78E-07 8.13E-06 9.54E-05 0.000693954 0.003434796

     0.012443628 0.034924284 0.079457911 0.15205226 0.252314833

     0.372489214 0.5 0.621770257

    </lossRatio>

    <coefficientsVariation>0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3

     0.3 0.3

    </coefficientsVariation>

   </discreteVulnerability>

   <discreteVulnerability vulnerabilityFunctionID="NEH 3.1.1"

    probabilisticDistribution="N">

    <lossRatio>1.38E-07 9.65E-06 0.000249076 0.002942808 0.018745441

     0.073088279 0.193120023 0.376258115 0.580939953 0.756728869

     0.877406954 0.945826618 0.978749341

    </lossRatio>

    <coefficientsVariation>0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3

     0.3 0.3

    </coefficientsVariation>

   </discreteVulnerability>

  </discreteVulnerabilitySet>

 </vulnerabilityModel>

</nrml>

 

The top level attributes are defined in discreteVulnerabilitySet:

 

<discreteVulnerabilitySet vulnerabilitySetID="HAZUS"

   assetCategory="buildings" lossCategory="economic_loss">

 

EQRM supports a single loss category option, economic loss, and the two other attributes are not currently used.

 

The curves in the set are all based on the intensity measure levels defined in IML:

 

<IML IMT="MMI">5 5.5 6 6.5 7 7.5 8 8.5 9 9.5 10 10.5 11</IML>

 

This is a list of intensity measure levels specified by the intensity measure type (IMT) attribute. EQRM supports conversion from spectral acceleration to Modified Mercalli Intensity, MMI, as per the example above.

 

The mean loss ratio and sigma are defined for each site type in discreteVulnerability:

 

   <discreteVulnerability vulnerabilityFunctionID="NEL 1.4.1"

    probabilisticDistribution="N">

    <lossRatio>

     2.01E-07 1.94E-05 0.000587335 0.007251983 0.044241602

     0.155404744 0.356384523 0.594100748 0.790940996 0.911550187

     0.968789668 0.990643449 0.997571724

    </lossRatio>

    <coefficientsVariation>

     0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.3

    </coefficientsVariation>

   </discreteVulnerability>

 

Where:

-          vulnerabiltyFunctionID: This specifies the site type that for this curve. It must match the STRUCTURE CLASSIFICATION defined in the sitedb file.

-          probabilisticDistribution: Options are LN (lognormal) and N (normal). The sampling technique will depend on the EQRM input parameter vulnerability_variability_method.

-          lossRatio: Mean loss values that correspond to the configured IML.

-          coefficientsVariation: Coefficient of variation that corresponds to the configured lossRatio (coefficientsVariation = sigma/lossRatio)

 

Further information is in the EQRM tech manual. If you do an svn update and recompile the manual in latex_sourcefiles/manual_tech have a look at section 2.6 and chapter 8 (and chapter 2 for the new input parameters). The requirements document is also located in Documentation/Vulnerability.

 

Please let me know if you have any questions.

 

Cheers,

Ben

 

 

Ben Cooper
Software Developer  |  Earth Monitoring and Hazards

Minerals and Natural Hazards Division  |  GEOSCIENCE AUSTRALIA

____________________________________________________________

Phone:  +61 2 6249 9247    Fax:  +61 2 6249 9999

Email:  Ben.Cooper@ga.gov.au    Web:  www.ga.gov.au

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GPO Box 378 Canberra ACT 2601 Australia

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