An approach combining structural and machine-learning models
World Bank
2026-05-21
Standard per-capita measures of global poverty assume:
Standard per-capita measures of global poverty assume:
But the evidence shows:
This is the first global study to integrate all three facts.
Millions living in extreme poverty, 2024
Source: Nigeria Living Standards Survey 2018–2019
Household resources are not equally shared.
Each individual type \(i \in \{m, f, c\}\) receives a share \(\eta_i\) of total private resources \(C\):
\[ x_i = \eta_i C \tag{1} \]
Individual consumption \(x_i\) is not observed.
Instead, use assignable goods (e.g., clothing).
The individual’s budget share \(w_g\) on an assignable good \(g\) is:
\[ w_g = a_g + b_g \ln x_i \tag{2} \]
Combining (1) and (2), household budget share
\[ W_g = \eta_i \left[a_g + b_g \ln(\eta_i C)\right] \tag{3} \]
Differentiating (3) with respect to \(\ln C\) gives:
\[ \frac{\partial W_g}{\partial \ln C} = b_g \eta_i \tag{4} \]
Slope = preferences × resource shares
Under Similarity Across People (SAP), resource shares are proportional to Engel curve slopes:
\[ \eta_i = \frac{g_i}{g_m + g_f + g_c} \tag{5} \]
Higher spending response ⇒ larger share
Combine:
with
to construct an individualized global consumption distribution and re-estimate poverty.
| Country group | Women /Men | Children /Adult | Obs | Pop. (%) |
|---|---|---|---|---|
| East Asia & Pacific | 0.70 | 0.14 | 2 | 0.2 |
| Europe & Central Asia | 0.90 | 0.24 | 5 | 3 |
| Latin America & Caribbean | 0.88 | 0.45 | 11 | 77 |
| Middle East & North Africa | 0.72 | 0.20 | 4 | 42 |
| South Asia | 0.86 | 0.38 | 2 | 97 |
| Sub-Saharan Africa | 0.79 | 0.26 | 21 | 70 |
| Low-income countries | 0.81 | 0.27 | 15 | 61 |
| Lower-middle-income | 0.83 | 0.33 | 15 | 75 |
| Upper-middle-income | 0.84 | 0.40 | 13 | 21 |
| High-income countries | 1.03 | 1.03 | 2 | 2 |
| All | 0.83 | 0.34 | 45 | 42 |
Source: Aminjonov et al. (2025)
| Source | Description | Countries | Period | Variables |
|---|---|---|---|---|
| World Bank | Gender Data Portal | 217 | 1960–2025 | 1392 |
| World Bank | Poverty & Inequality Platform | 218 | 1977–2026 | 190 |
| Gethin & Saez (2025) | Hours worked by gender/age | 159 | 1900–2023 | 189 |
| Gallup Polls | Cultural values and beliefs | 165 | 2006–2024 | 135 |
| United Nations | Gender Development Index | 195 | 1990–2023 | 15 |
| World Values Survey | Cultural values and beliefs | 65 | 2017–2023 | 13 |
| Pew Research Center | Population shares of religions | 195 | 1990–2024 | 12 |
| World Bank | World Governance Indicators | 206 | 1996–2023 | 6 |
| World Economic Forum | Global Gender Gap Index | 157 | 2004–2021 | 5 |
| World Inequality Lab | Female labor income share | 211 | 1990–2023 | 1 |
| Jolliffe et al. (2025) | Food share of consumption | 167 | 2022–2022 | 1 |
| All data | 218 | 1900–2026 | 1959 |
\[ \hat{y}_i^{(t)} = \hat{y}_i^{(t-1)} + f_t(x_i) \tag{6} \]
The regularization term is given as: \[ \Omega(f_t) = \gamma T + \frac{\lambda}{2} \sum_{j=1}^{T} w_j^2 + \alpha \sum_{j=1}^{T} |w_j| \tag{7} \]
| Variable | Gain |
|---|---|
| Female GNI per capita (2021 PPP$) | 0.200 |
| Women’s employment rate | 0.106 |
| Female vocational enrollment (% of secondary) | 0.101 |
| Share of men who believe religion is important | 0.083 |
| Variable | Gain |
|---|---|
| GNI per capita, Atlas method (current US$) | 0.323 |
| Female road traffic injury mortality (per 100,000) | 0.126 |
| Life expectancy at birth, female (years) | 0.109 |
| Government effectiveness: estimate | 0.033 |
Note: Gain reflects each variable’s contribution to reducing prediction error.
\[ \frac{w_{shr}}{m_{shr}} = wm_{gap} \qquad\qquad \frac{c_{shr}}{0.5(m_{shr} + w_{shr})} = ca_{gap} \tag{8–9} \]
\[ T_{prv} = M \cdot m_{shr} + W \cdot w_{shr} + C \cdot c_{shr} \tag{10} \]
\[ m_{shr} = \frac{T_{prv}} {M + wm_{gap}\cdot W + 0.5\cdot ca_{gap}\cdot(1+wm_{gap})\cdot C} \tag{11} \]
\[ w_{shr} = wm_{gap}\cdot m_{shr} \qquad c_{shr} = 0.5\cdot ca_{gap}\cdot(1+wm_{gap})\cdot m_{shr} \tag{12-13} \]
Total household welfare is decomposed as:
\[ T = T_{pub} + T_{prv} \tag{13} \]
\[ T_{pub} = welf_{pc}\,(1 - pvt)\,N \tag{14} \]
\[ T_{prv} = Nwelf_{pc}\,pvt\,N/A \tag{15} \]
Note:
- Household size, \(N = W + M + C\)
- Adult-equivalent size, \(A = W + M + 0.6C\)
- \(welf_{pc}\): welfare per capita (2021 PPP$/day)
- \(pvt\): private share of household welfare
Allocation:
- Public consumption enjoyed by everyone
- Private consumption allocated via Eqs. (8-10)
Adjustments account for:
- Economies of scale
- Different needs of children and adults
Scaled, adult-equivalized poverty line \(z\) solves:
\[ F(z) = \int_0^z f(y(x))\,dx = P^0 \tag{16} \]
where:
- \(f(y(\cdot))\): transformed global distribution
- \(z\): equivalent poverty line
- \(P^0\): global per-capita poverty rate (11%)
Poverty lines used:
- International poverty line: $3.00 per capita
- Equivalent international poverty line: $7.50 per adult [60% for children (i.e. under 14)]
Global poverty looks different once we move from poor households to poor individuals.
The paper’s central conclusion is:
Even with these constraints, the paper provides a meaningful first global picture of poverty by age and gender under more realistic household assumptions.
Comments welcome
Samuel Tetteh-Baah
World Bank
stettehbaah@worldbank.org