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| # Equity Metric | ||
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| **Description** | ||
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| The algorithm computes equity metrics to characterize the inequity present in the infrastructure service provision | ||
| between two groups of concerns’ (e.g., low income vs. non-low income, minority vs non-minority, etc.). The metrics are | ||
| built upon Theil’s T, which is a common metric to compute the inequality present in the dispersion of a scarce | ||
| resource (e.g., income). The metrics could also be implemented to assess inequity in different scenarios with other | ||
| scarce resources of concern. | ||
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| To compute the metrics, a scarce resource should be formulated and calculated for an infrastructure application. The | ||
| scarce resource for infrastructure can be taken as any user defined relevant values, such as a resilience score (i.e., | ||
| probability of service provision) or recovery time. We've included a companion utility class where we define and | ||
| prepare recovery time as a scarce resource. Other scarce resources can and could be explored if provided by the user. | ||
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| The equity metric allows for an equity assessment of the current infrastructure service provision. It also enables the | ||
| assessment of equity gains for a given retrofit plan and can be integrated into an overall decision-making process.. | ||
| The output metrics tell the following information 1) Theil's T - overall amount of inequality in scarce resource's | ||
| dispersion across a community (distributional inequity) 2) Between Zone Inequality (BZI) - amount of inequality | ||
| attributed to scarce resource differences between groups (restorative inequity), and 3) Within Zone Inequality (WZI) - | ||
| amount of inequality due to resource differences among singular groups. | ||
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| **Contributors** | ||
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| - Science: Abigail L. Beck, Ph.D, Eun Jeong Cha, Ph.D, Walter Peacock, Ph.D | ||
| - Implementation: NCSA IN-CORE Dev Team | ||
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| **Related publications** | ||
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| - Beck, A.L., Cha, E.J. & Peacock, W.G. "Incorporation of Equity into Infrastructure Decision-Making: Development of an | ||
| Equity Metric for Infrastructure Retrofitting," The 14th International Conference on Applications of Statistics and | ||
| Probability in Civil Engineering (ICASP14), Dublin, Ireland, July, 2023. http://hdl.handle.net/2262/103309 | ||
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| **Input parameters** | ||
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| key name | type | name | description | ||
| -----------------------------------------|-------|-------------------------------|-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- | ||
| `result_name` <sup>*</sup> | `str` | Result name | Name of the result dataset. | ||
| `division_decision_column` <sup>*</sup> | `str` | Division decision column name | Column name of a binary variable associated with each household used to group it into two groups (e.g. low income vs non low income, minority vs non-minority, social vulnerability) | ||
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| **Input datasets** | ||
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| key name | type | name | description | ||
| ----------------------------------------|---------------------------------------------------------------------------------------------------------------------|--------------------|------------------------------------------------------------------------ | ||
| `housing_unit_allocation` <sup>*</sup> | [`incore:housingUnitAllocation`](https://incore.ncsa.illinois.edu/semantics/api/types/incore:housingUnitAllocation) | Housing allocation | A housing unit allocation dataset. | ||
| `scarce_resource` <sup>*</sup> | [`incore:scarceResource`](https://incore.ncsa.illinois.edu/semantics/api/types/incore:scarceResource) | Scarce resource | Scarce resource dataset e.g. probability of service, return time, etc. | ||
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| **Output datasets** | ||
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| key name | type | parent key | name | description | ||
| ------------------------------|---------------------------------------------------------------------------------------------------|------------|---------------|------------------------------------------------------------------------------------------------------- | ||
| `equity_metric` <sup>*</sup> | [`incore:equityMetric`](https://incore.ncsa.illinois.edu/semantics/api/types/incore:equityMetric) | | Equity Metric | CSV file of equity metric, including Theil’s T Value, Between Zone Inequality, Within Zone Inequality | ||
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| <small>(* required)</small> | ||
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| **Execution** | ||
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| code snippet: | ||
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| ``` | ||
| client = IncoreClient() | ||
| datasvc = DataService(client) | ||
| # Example of preparing scarce resource | ||
| repair_time_df = Dataset.from_data_service(housing_recovery_id, datasvc).get_dataframe_from_csv() | ||
| scarce_resource_df = EquityMetricUtil.prepare_return_time_as_scarce_resource( | ||
| repair_time_df | ||
| ) | ||
| scarce_resource = Dataset.from_dataframe( | ||
| scarce_resource_df, "scarce_resource", data_type="incore:scarceResource" | ||
| ) | ||
| # Example of running equity metric analysis | ||
| equity_metric = EquityMetric(client) | ||
| equity_metric.set_parameter("result_name", "Galveston_recovery_time") | ||
| equity_metric.set_parameter("division_decision_column", "SVI") | ||
| equity_metric.load_remote_input_dataset( | ||
| "housing_unit_allocation", housing_unit_allocation_id | ||
| ) | ||
| equity_metric.set_input_dataset("scarce_resource", scarce_resource) | ||
| equity_metric.run_analysis() | ||
| ``` | ||
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| full analysis: [equity_metric.ipynb](https://github.com/IN-CORE/incore-docs/blob/main/notebooks/equity_metric.ipynb) |
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