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MPI and Multidimensional Poverty AnalysisWhat we knew before joining West Bank and Gaza Poverty Assessment team
Nobuo YoshidaApril 21, 2011
Multidimensional poverty analysis and Oxford-UNDP MPI In July, 2010, UNDP issued a press release
“Oxford and UNDP launch a better way of measuring poverty”◦ Oxford and UNDP published a new measure of
poverty: Multidimensional Poverty Index (MPI)
Is that true?
More important, what do we want to know from multidimensional poverty analysis?
Multidimensional Poverty Index (Alkire-Foster method)
n
kckcaverageM
kcif0kcifc
kc
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n refers to population, z a vector of cutoffs for each dimension, k a cutoff for the weighted average of deprivation
Weighted average of dummies of each indicators
Critical Reviews
1. Estimation of weights2. Robustness of results against weighting
1. Estimation of weights Ravallion (2011) and Decancq and Lugo
(2010) show ideally weights should reflect MRS of different dimensions
In reality, since it is difficult to know MRS; many other approaches are proposed◦ Equal/arbitrary weight◦ Principal component◦ Expert opinion weight◦ Shadow price◦ Stated preference approach◦ Revealed preference approach
Revealed preference approach Regress a welfare indicator on a bunch of
indicators and use the coefficients for weights◦ Regression results tell us what is affecting their
welfare status Challenges◦ Regression results are often unstable over time and
across areas◦ MPI is in the end a predictor of the LHS, like
subjective poverty◦ Why do we need the predictor if we have the original
variable? In our analysis with Brazil data, correlation between subjective
poverty and its predictor is just 0.33
2. Robustness of ranking against weighting We examined robustness of ranking against weighting An interesting trade-off between stability of ranking
and multidimensionality◦ If ranking is not sensitive to weighting, then information
from MPI can be summarized by one single indicator◦ If ranking is sensitive to weighting, results from MPI are
not robust!
“a multidimensional approach is called upon precisely because important dimensions of well-being are not strongly related” (Somarriba and Pena 2009).
What do we want know from multidimensional poverty analysis? MPI is not a goal Do we want to know the characteristics and
trends of non-monetary poverty?◦ Then, dash board approach (analysis on each
dimension independently) is enough Emerging conclusion from the second MPI
workshop◦ Interaction of multiple dimensions of poverty is
important◦ Many different ways of showing the interactions
What is an interesting way to show the interactions?
Depth and Width (interaction)
Con
sum
ptio
n Po
vert
y
Educ
atio
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priv
atio
n
Hea
lth d
epri
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Une
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Dep
th
Width/Interaction
Overlaps of deprivations by Venn Diagram for Brazil’s case
EL
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61.6
3.0
2.5
7.20.2
22.1
3.6
How should we evaluate the pain from multiple problems? Implicit assumption in MPI◦ If one has problems in two dimensions, then
the person’s MPI is the sum of weights for the dimensions◦ For example, c=0.33*dH+0.33*dE+0.33*dL◦ Then, if you have both health and education
deprivations, your MPI score is 0.66
Do we think like this?◦ Multiple problems can be bigger than the sum
What we tried for West Bank and Gaza poverty assessment We wanted to think about an interesting
way to show◦ Interactions◦ Assessment of the interactions
Now let’s move to Nandini’spresentation
Principal Component Approach Decancq and Lugo (2010) refer a very
powerful quote
Principal components analysis will assign lower weights to dimensions that are poorly correlated, while one could argue that a multidimensional approach is called upon precisely because important dimensions of well-being are not strongly related
(Somarriba and Pena 2009).
Stated preference approach
Carry out a survey, asking individuals their preference over multiple dimensions of deprivations
Use population averages of these valuations for each dimension as a weight
Assumption: Each individual knows what dimension affects his/her living standard by how much
Equal weight“In terms of both absolute dollar values and the
rate of GDP growth needed to make up for lower longevity, the construction of the HDI assumes that life is far less valuable in poor countries than in rich ones”
Ravallion (1997)
“equal weighting as obviously convenient but also universally considered to be wrong."
Chowdhury and Squire 2006, p. 762
Nobuo Yoshida and Nandini KrishnanApril 21, 2011
Was the “recovery” in poverty rates in Gaza in 2009 reflected in other dimensions?
Does a broader measure of deprivation better capture the lack of improvement in Gaza? Can we better reconcile popular opinion with poverty estimates?
Can we learn anything more about the 2007 crisis?
What do Palestinians place value on in evaluating their own well being?
0.0
10.0
20.0
30.0
40.0
50.0
60.0
2004 2005 2006 2007 2009
Total West Bank Gaza
Poverty headcount rates, West Bank and Gaza: 2004-2009
Consumption poor=1 Unemployed or Out of the
labor force=1
Less than secondary education or any member of household illiterate=1
Registered refugees=1
0.00
0.10
0.20
0.30
0.40
0.50
0.60
0.70
0.80
2004 2005 2006 2007 2009
West Bank
Consumption Labor
Education Refugee status
0.00
0.10
0.20
0.30
0.40
0.50
0.60
0.70
0.80
2004 2005 2006 2007 2009
Gaza
Consumption Labor
Education Refugee status
Small increase in population with at least one deprivation in 2007 in Gaza, large increase in those with multiple deprivations; Remain high in 2009 in Gaza
36
39
41
41
45
36
38
38
35
36
28
23
21
24
19
2004
2005
2006
2007
2009
West Bank
No deprivation Single deprivation
Multiple deprivations
16
18
18
16
13
44
39
46
33
45
39
43
36
51
42
2004
2005
2006
2007
2009
Gaza
No deprivation Single deprivation
Multiple deprivations
εββββββββββββββββ
++++++++++++++++=
ALLRCERCLRLECLERERLRCCLECELRCLEPoorS
151413121110
9876543210_
Valuations of Dimensions of Deprivation in Subjective PovertyWest Bank Gaza
2004 2005 2006 2007 2009 2004 2005 2006 2007 2009E 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 (dropped) 0.00L 0.00 0.52 0.00 0.41 0.36 0.47 0.51 1.00 0.00 0.00C 0.59 0.64 1.15 0.68 0.50 0.52 0.68 0.00 0.00 0.49R 0.00 0.00 0.00 0.00 0.12 0.00 0.00 0.00 0.00 0.00
EL 0.00 0.38 0.00 0.54 0.29 0.63 0.00 (dropped) 1.00 0.53EC 0.58 0.62 1.02 0.59 0.38 0.00 0.00 1.45 1.26 1.18CL 1.22 1.00 2.08 1.20 0.91 0.84 1.15 0.94 0.60 0.49RC 0.78 0.58 1.27 0.75 0.85 0.72 0.47 0.00 0.37 0.63RL 0.50 0.54 0.00 0.31 0.66 0.32 0.40 0.64 0.48 0.42RE 0.00 0.00 0.00 0.00 0.00 0.32 0.00 (dropped) 1.61 0.00
CLE 0.64 1.12 1.08 0.84 1.00 0.84 1.24 (dropped) 1.04 0.69RLE 0.53 0.59 1.39 0.00 0.44 0.51 0.00 0.00 0.00 0.48RCL 0.91 1.08 0.00 1.22 0.89 0.89 1.26 2.63 0.87 0.81RCE 0.74 0.93 (dropped) (dropped) 0.69 1.02 1.20 (dropped) 0.78 1.22All 1.49 0.00 0.00 1.45 0.91 0.93 1.10 1.34 0.00 1.06
Source: PECSNote: Coefficients reported are from probit regressions by year and region of subjective poverty status and are normalized so as to be compatible with the creation of a broader poverty index. If a coefficient is not statistically significantly different from zero or negative, we assign zero values instead of the estimated coefficient. The constant terms are not reported here.
0% 10% 20% 30% 40% 50% 60% 70% 80% 90% 100%
Incidence of Deprivation
Intensity of Deprivation
Gaza, 2009
E L C R EL EC CL RC RL RE CLE RLE RCL RCE All
Multiple Deprivations
A confirmation of the fragility of poverty decline in Gaza: While poverty rates fell by 16 percentage points between 2007 and 2009, the incidence of simultaneous multiple deprivations fell by only 3 percentage points.
In Gaza in 2007, as consumption poverty increased, households became increasingly vulnerable in the sense that they simultaneously suffered along multiple dimensions of deprivation
Linking subjective assessments of well-being to objective measures of deprivation Weights have an interesting interpretation: measure the value placed on
each dimension and its combination by people Multiple overlapping deprivations matter a lot more to people but are
volatile Useful for policy makers? In a region where consumption poverty rates
are relatively low in many countries, and arguably do not capture the whole story, a multidimensional approach linked to popular perception may provide insights…