Reflecting inequality in each dimension of the HDI addresses an objective first stated in the Human Development Report 1990. The 2010 Report introduced the Inequality-adjusted HDI (IHDI), a measure of the level of human development of people in a society that accounts for inequality. Under perfect equality the IHDI is equal to the HDI, but falls below the HDI when inequality rises. In this sense, the IHDI is the actual level of human development (taking into account inequality), while the HDI can be viewed as an index of the potential human development that could be achieved if there is no inequality. The IHDI accounts for inequality in HDI dimensions by “discounting” each dimension’s average value according to its level of inequality measured by the Atkinson index. We apply this index to 132 countries.
Countries with less human development tend to have greater inequality in more dimensions—and thus larger losses in human development.To learn more:
The HDI represents a national average of human development achievements in the three basic dimensions making up the HDI: health, education and income. Like all averages, it conceals disparities in human development across the population within the same country. Two countries with different distributions of achievements can have the same average HDI value. The IHDI takes into account not only the average achievements of a country on health, education and income, but also how those achievements are distributed among its citizens by “discounting” each dimension’s average value according to its level of inequality.
Although this is the third year that the IHDI has been calculated, the IHDI was not recalculated for previous years primarily due to the lack of time series data for inequality in education and income for a majority of countries.
The approach is based on a distribution-sensitive class of composite indices proposed by Foster, Lopez-Calva, and Szekely (2005), which draws on the Atkinson (1970) family of inequality measures. It is computed as the geometric mean of dimension indices adjusted for inequality. The inequality in each dimension is estimated by the Atkinson inequality measure, which is based on the assumption that a society has a certain level of aversion to inequality.
The IHDI relies on data on income/consumption and years of schooling from major publicly available databases, which contain national household surveys harmonized to common international standards: Eurostat’s EU Survey on Income and Living Conditions, Luxembourg Income Study, World Bank’s International Income Distribution Database, United Nations Children’s Fund’s Multiple Indicators Cluster Survey, US Agency for International Development’s Demographic and Health Survey, World Health Organization’s World Health Survey, and United Nations University’s World Income Inequality Database. For inequality in the health dimension, we used the abridged life tables from the United Nations Population Division.
The IHDI uses the HDI indicators that refer to 2012 and measures of inequality that are based on household surveys from 2002 to 2011 and life tables that refer to the 2010-2015 period. We therefore use the year to which the HDI indicators refer to, especially because we report the inequality-adjusted indicators/indices in tables.
The IHDI uses the HDI indicators that refer to 2012 and measures of inequality that are based on household surveys from 2002 to 2011 and life tables that refer to the 2010-2015 period. We therefore use the year to which the HDI indicators refer to, especially because we report the inequality-adjusted indicators/indices in tables.
The IHDI and its components can be useful as a guide to helping governments better understand the inequalities across populations and their contribution to the overall loss of inequality.
The IHDI in its current form was inspired by a similar index produced by Mexico’s National Human Development Report. The IHDI can be adapted to compare the inequalities in different subpopulations within a country, providing that the appropriate data is available. National teams can use proxy distributions for indicators, which may make more sense in their particular case.
The IHDI is one of three experimental indices introduced in 2010, alongside the Gender Inequality Index and the Multidimensional Poverty Index. It will evolve over time like all the other human development indices.
This is the most difficult aspect as life expectancy data are aggregate indicators. However, the inequality is estimated from the abridged life table (usually five-year age cohort) data and reflects the current inequality in mortality patterns—some people die under the age of one and others die at 75 or later. Undoubtedly, the quality of these estimates is no better than the data in the life table itself.
One of the key properties of the approach is that it is “subgroup consistent.” This means that if inequality declines in one subgroup and remains unchanged in the rest of population, then the overall inequality declines. The second important property is that the IHDI can be obtained by first computing inequality for each dimension and then across dimensions, which further implies that it can be computed by combining data from different sources.
The Gini index is commonly used as a measure of inequality of income, consumption or wealth. There was an attempt to apply the Gini index to measure multidimensional inequality (Hicks, 1998).
The choice of the Atkinson index was guided by three factors: (i) subgroup consistency, (ii) emphasis on the inequality in the lower end of distribution, and (iii) simplicity of computation and mathematical elegance of the resulting composite Inequality-adjusted Human Development Index.
(i) Subgroup consistency means that if inequality declines in one subgroup (region, ethnic group, etc.) and remains unchanged in the rest of population, then the overall inequality declines. The Gini coefficient does not have this property.
(ii) By its construction, the Gini coefficient puts equal weights to the entire distribution, while the Atkinson index puts more weight to the lower end, thus accounting better for child mortality, illiteracy, and income poverty.
Finally, the geometric form of the HDI in combination with the Atkinson index provides a simple and elegant path-independent composite IHDI, obtained by first computing inequality for each dimension and then across dimensions, which further implies that it can be computed by combining data from different sources (life tables and different surveys for education and income).Expected years of schooling is an aggregate measure and inequality in its distribution would be reflected in current school enrolment ratios. Certainly, there is a difference in inequalities in the two distributions, with the distribution of expected years of schooling across the school-age population being lower. Thus, one can speculate that overall inequality in the HDI distribution would be reduced if expected years of schooling were used.
Years of schooling of adults is mostly derived from the highest level of schooling achieved. Using UNESCO’s country information on the duration of schooling needed for each level, the highest level of schooling is converted into years. While the duration of primary, secondary and most of post-secondary education is more or less standardized, the very high levels—masters and doctoral studies—vary across countries. However, the Atkinson measure of inequality which is used to assess inequality in HDI education components is less sensitive to differences at the upper end of a distribution.