The counting approach to multidimensional poverty. The case of four African countries

Published date01 June 2019
AuthorValérie Berenger
Date01 June 2019
DOIhttp://doi.org/10.1111/saje.12217
South African Journal of Economics Vol. 87:2 June 2019
doi : 10.1111/ saje .12217
200
THE COUNTING APPROACH TO MULTIDIMENSIONAL
POVERTY. THE CASE OF FOUR AFRICAN COUNTRIES
VALÉRIE BERENGER†,*
Abstract
This paper investigates the levels and evolution of poverty in Malawi, Mozambique, Tanzania and
Zimbabwe using the decomposability properties of poverty measures based on a counting
approach. We compare poverty measures such as the Alkire and Foster index with alternative
poverty indices that are sensitive to inequality. Poverty is estimated using Demographic and Health
Surveys for different years for Malawi (2004, 2010 and 2015), for Mozambique (2003 and 2011),
Tanzania (2004, 2010 and 2015) and for Zimbabwe (2005, 2010 and 2015). Our findings show
that one obtains insightful information when looking at the breadth and inequality components
of multidimensional poverty.
JEL Classification: I32, D63
Keywords: Countin g approach, multidimensional poverty measur ement, Malawi, Mozambique,
Tanzania, Zimbabwe
1. INTRODUCTION
In September 2015, the adoption by the international community of Sustainable
Development Goal (SDG) 1.2 of ending poverty in a ll its forms everywhere incorporates
an explicit multidimensional focus. Simultaneously, the SDGs encompass implicit or
explicit goals addressing inequality.
The recent adoption by the United Nations Development Programme (UNDP) of the
so-called Multidimensional Poverty Index (MPI) illustrates the importance of taking
multiple dimensions of poverty into account and addressing them. The MPI draws on
the counting approach developed by Alkire a nd Foster (2011) and assesses poverty along
the same dimensions as the Human Development Index (HDI). It not only counts the
share of the population deprived in at least 30% of the dimensions, but it also provides a
snapshot of the breadth of poverty. This new measure, computed for over 100 countries
using global standa rds such as the international monetar y poverty line, is somehow sim-
ilar to the calculation of monetary poverty.
However, recent literature stresses some conceptual and empirical weaknesses of the
MPI. Among its conceptual shortcomings is its lack of sensitivity to inequality in the
distribution of deprivations. The MPI does not provide any information on whether
* Corresponding author: University of Toulon, LEAD, France, a nd University Côte d’Azur,
CNRS, GR EDEG, France. E-ma il: berenger@univ-tln.fr
University Côte d’Azur, CNRS, GR EDEG
This is an ope n access arti cle under the terms of t he Creative Commons A ttribution-NonComm ercial-Share Alike Licen se, which
permits use a nd distribution in a ny medium, provided t he original work is pr operly cited, the use i s non-commercial a nd the content
is offered und er identical terms .
© 2019 UNU-WIDER. South A frican Journa l of Economics published by John W iley & Sons Ltd on behal f of
Economic Societ y of South Africa.
South African Journal
of Economics
201South African Journal of Economics Vol. 87:2 June 2019
© 2019 UNU-WIDER. South A frican Journa l of Economics published by John W iley & Sons Ltd on behal f of
Economic Societ y of South Africa.
a decrease in poverty af fects the poorest of the poor. Before Alkire and Foster (2011)
suggested their measures, independent studies proposed several poverty measures using
a counting approach. These papers suggested alternative ways of defining multidimen-
sional poverty indices that comply with the basic axiomatic properties of multidimen-
sional poverty indices based on continuous variables (Bossert et al. , 2013).
Recently, Silber and Yalonetzky (2013) proposed a general framework that integrates
ordinal variables into the measurement of multidimensional poverty. Drawing on this
framework, Bérenger (2017) put special emphasis on the decomposability properties of
the three “I”s of poverty of the main inequality sensitive poverty measures based on a
counting approach. She showed the complementarities between several measures when
analysing trends in poverty levels in Egypt and Jordan and in three South East Asian
countries (Bérenger, 2016).
Drawing on Bérenger (2017), the main goal of th is paper is to make use of the decom-
posability properties of four main counting-based poverty measures found in the liter-
ature. We show how to use them in a way that complements the information provided
by the MPI to assess the levels and trends in multidimensional poverty in Mozambique,
Malawi, Tanzania and Zimbabwe in the 2000s. We compare the results obtained when
using poverty measures based on Alkire and Foster (2011), such as the UNDP’s MPI,
and counting-based poverty measures sensitive to inequality. These include measures
proposed by Chakravarty and D’Ambrosio (2006), by Rippin (2010), and the one sug-
gested by Silber and Yalonetzky (2013). As these measu res cover all deprived individuals,
using a union approach, it is possible to manipulate them to adopt a more flexible ap-
proach that fits the identification approach of the MPI.
Section 2 presents four main multidimensional povert y indices based on the counting
approach. Section 3 shows the results obtained when applying these multidimensional
poverty indices to data from the Demographic and Health Surveys (DHS) of Malawi,
Mozambique, Tanzania and Zimbabwe. Section 4 gives concluding comments.
2. MULTIDIMENSIONA L POVERTY USING A COU NTING-BASED APPROACH
WITH OR DINAL VAR IABLES
In the counting approach, the way to summarise information amounts to determining a
poverty line in each dimension and aggregating the dimensions for each individual, and
then across individuals, in order to derive a summa ry measure of deprivations in multiple
attributes. This order of aggregation preserves the essence of the multiple facets of pov-
erty as it embeds the association between simultaneous deprivations experienced by the
individual. Moreover, the central features of the counting approach are the use of binary
variables and the comparison of individual achievements in a given dimension with a
dimension-specific poverty line. Using solely binar y indicators of well-being, the MPI
summarises the information by counting the number of dimensions in which an indi-
vidual suffers from deprivations. The ma in innovative feature of Alkire and Foster (2011)
is that they combined the counting approach that has been widely used at the empirical
level in social sciences to construct indices of deprivation or social exclusion measures
with the axiomatic approach to multidimensional poverty. Based on the extension of the
Foster et al. (1984) indices, they suggested a class of poverty mea sures “the adjusted FGT”
measures that are able to capture the three “I”s of poverty (Jenkins and Lambert, 1997)

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