# Regional Loss

## Class Name

• RRegionalLossModel

## Location in Objects Pane

• Models > Model > Consequence > Economic > Regional Loss

## Model Description

### Model Form

$$l = \left( {\sum\limits_{k = 1}^K {{\eta _k} \cdot {A_k} \cdot {C_k}} } \right) \cdot \exp \left( { - r \cdot t} \right)$$ $$\ln \left( {{\eta _k}} \right) = \ln \left[ {{\vartheta _{1k}} \cdot \Phi \left( {{\vartheta _{2k}} \cdot Sa_2^{{\vartheta _{5k}}} + {\vartheta _{3k}} \cdot Sa_1^{{\vartheta _{5k}}} - {\vartheta _{4k}}} \right)} \right] + {\varepsilon _k}$$

• No

## Properties

### Object Name

• Name of the object in Rt
• Allowable characters are upper-case and lower-case letters, numbers, and underscore (“_”).
• The name is unique and case-sensitive.

### Display Output

• Determines whether the model is allowed to print messages to the Output Pane.

### Boundary Location List

• List of location objects of the corner points of the region

### Centroid Location

• A location object that will take the region’s centroid coordinates.

### Sa 1

• $${S_{a_1}}$$ = 5%-damped elastic spectral acceleration at the period of 1.0s at the region’s centroid.

### Sa 2

• $${S_{a_2}}$$ = 5%-damped elastic spectral acceleration at the period of 0.3s at the region’s centroid.

### Unit Area Cost List

• $${C_k}$$ = Unit area cost list for different zones within the region.

### Area Ratio List

• $${A_k}$$ = Area ratio list, that is the ratio of different zone areas to the total area of the region.

### Time

• $${t}$$ = Time object

### Annual Interest Rate

• $${r}$$ = Annual Interest Rate

### Theta 1 List

• $${\vartheta_{1k}}$$ = List of $${\vartheta_{1}}$$ model parameters for different zones within the region.

### Theta 2 List

• $${\vartheta_{2k}}$$ = List of $${\vartheta_{2}}$$ model parameters for different zones within the region.

### Theta 3 List

• $${\vartheta_{3k}}$$ = List of $${\vartheta_{3}}$$ model parameters for different zones within the region.

### Theta 4 List

• $${\vartheta_{4k}}$$ = List of $${\vartheta_{4}}$$ model parameters for different zones within the region.

### Theta 5 List

• $${\vartheta_{5k}}$$ = List of $${\vartheta_{5}}$$ model parameters for different zones within the region.

### Epsilon List

• $${\varepsilon_{k}}$$ = List of $${\varepsilon}$$ model error for different zones within the region.

### Color

• Color of the region on Google Maps

### Total Area

• Total Area of the region

## Output

• $${I}$$ = Total regional loss due to repair cost of buildings.
• The output is an automatically generated generic response object, which takes the object name of the model plus “Response”.

### Remove

• Removes the object.

### Display On Map

• Displays the object on map.

### Remove From Map

• Removes the object from map.

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