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| Isolation Index× | Lorenz Curve× | |
|---|---|---|
| Field | Sociology | Sociology |
| Family | Process / pipeline | Process / pipeline |
| Year of origin≠ | 1954 | 1905 |
| Originator≠ | Wendell Bell (formalization of P* indices) | Max Otto Lorenz |
| Type≠ | Exposure-dimension segregation index | Graphical representation of distributional inequality |
| Seminal source≠ | Bell, W. (1954). A probability model for the measurement of ecological segregation. Social Forces, 32(4), 357–364. DOI ↗ | Lorenz, M. O. (1905). Methods of measuring the concentration of wealth. Publications of the American Statistical Association, 9(70), 209–219. DOI ↗ |
| Aliases≠ | P* isolation index, interaction index, exposure index, Bell isolation index | Lorenz concentration curve, Lorenz diagram, cumulative share curve |
| Related | 5 | 5 |
| Summary≠ | The isolation index measures the exposure dimension of segregation: the extent to which members of a minority group are exposed only to one another rather than to members of other groups. It answers the question 'what is the own-group share of the typical neighbor (or classmate, or coworker) that a member of the focal group encounters?' Unlike evenness measures, it depends on the relative size of the group as well as its spatial distribution. | The Lorenz curve is a graphical device that displays the full shape of inequality in a distribution by plotting the cumulative share of a quantity (such as income) held by the cumulative share of the population, ranked from poorest to richest. Introduced by Max Lorenz in 1905, it underlies the Gini coefficient and provides the basis for ranking distributions by inequality when one curve lies entirely above another. |
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