Economic science/ 16.Macroeconomics
Kapelyuk S.D., senior
lecturer
Siberian University of Consumer Cooperatives, Russia
The main principles of the new human
development index
In 2010, the United Nations Development Programme
presented the new methodology of the most popular social indicator – the human
development index (HDI). This change was generally caused by the critique of
the old methodology. However, the new methodology immediately generated the new
wave of the critique. For example, Martin Ravallion, the Director of the World
Bank's Development Research Group, argued that the new functional form of the
HDI is inappropriate because it caused the “troubling trade-offs” between
longevity and income [5]. His article promoted a long discussion in the literature
[4; 6]. In our opinion, the determination of the principles of the new HDI
would be a significant contribution to this discussion.
The human development index is a summary measure of
three indicators: longevity, educational attainment and income. The index was
created by Pakistani economist Mahbub ul Haq. Until 2010 the index for country k was calculated by the arithmetic mean:
, (1)
where Jõ1 is longevity index, Jõ2 is education index, Jõ3 is income index, õi is the indicator for index i [1,
p. 269].
Life
expectancy of birth (õ1) was the indicator of longevity, the combination of adult literacy rate
and gross primary, secondary and tertiary enrollment ratio (õ2) formed the indicator of education,
GDP per capita in the purchasing power parity dollars (õ3) was the indicator of income. An individual index (Jõ1 , Jõ2, Jõ3) for country k was
calculated according to the formula:
, (2)
where max õi is
fixed maximum value of indicator i,
min õi is fixed minimum value of indicator i.
Computing the income index (Jõ3) had
differences:
. (3)
Logarithmic
functional form makes the composite index less sensitive to extremely high
values of income. In accordance with the main principles of human development
achieving a respectable level of well-being does not require high income.
Increasing of income is more important for medium and low human development
countries.
The
2010 Report presented four significant changes in constructing the HDI [2, pp.
263–264]. First, the index for country k is calculated now by the geometric
mean:
(4)
The geometric mean makes the index more sensitive to
outlying values of the indicators.
Second, the maximum values (max
õi ) are not fixed but defined as the actual
observed maximum values of the indicators.
Third, gross national income (GNI) per capita is
used for constructing the income index in place of GDP per capita.
Fourth, education index (Jõ2) is based on new indicators: mean years of
schooling and expected years of schooling. This subindex for country k is calculated now according to the
formula:
, (5)
where y is mean years of schooling index, z is expected years of schooling index.
We
marked out the principles of the new methodology by examination of substantiation
of the 2010 HDI by Krugman et al [3]. They are the following:
1. Reflecting opportunity freedoms. The opportunity freedom means the
opportunity to achieve the things that we have reason to value [7]. Another
kind of freedom, process freedom, is beyond the new human development index.
2. Diminishing returns from all of the components of the human development
index. It is achieved by the nonlinear functional form of the HDI. Transition
from arithmetic mean to geometric mean also eliminated the perfect
substitutability of the HDI components.
3. Neglect of inequality. Inequality is measured by other indices: the
Inequality-Adjusted HDI, the Gender Inequality Index, and the Multidimensional
Poverty Index.
These
principles have important implications for the broader domain of the human
development theory.
References:
1.
Human Development Report 2000. – New
York: United Nations Development Programme, 2000 [Electronic resource]. –
Access mode: http://hdr.undp.org/en/media/HDR_2000_EN.pdf
3.
Klugman
J., Rodriguez F., Choi H. The HDI 2010: new controversies, old critiques // Journal of Economic
Inequality. – 2011. – ¹ 9. – Pp. 241–288.
4.
Klugman
J., Rodriguez F., Choi H. Response to Martin
Ravallion // Journal of Economic Inequality. – 2011. – ¹ 9. – Pp. 497–499.
5.
Ravallion
M.
Troubling tradeoffs in the Human Development Index // Journal of Development
Economics. – 2012. – In press.
6.
Ravallion
M. The human development index: a response to Klugman,
Rodriguez and Choi // Journal of Economic Inequality. – 2011. – ¹ 9. – Pp. 475–478.
7.
Sen
A. Rationality and freedom. – Harvard University Press.
– 2004. – P. 506.