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Africa Rising, a Narrative for Life Expectancy Gains? Evidence from a Health Production Function Cover

Africa Rising, a Narrative for Life Expectancy Gains? Evidence from a Health Production Function

Open Access
|Apr 2019

Figures & Tables

Table 1

Descriptive statistics of variables.

ObservationMean (Range)
Life expectancy at birth, total (years)103457.03 (31.96–75.64)
Health expenditure per capita, PPP (US$)1032202.06 (5.94–1768.68)
Out-of-pocket health expenditure (% of total health expenditure)103239.65% (2.00–80.91)
Gross domestic product, PPP † (US$)102141.16 (2.72–384.41)
Mean years of schooling population 25+ years†9594.46 (0.90–10.30)
Food production index1037100.67 (55.77–182.51)
Urban population (% of total)103739.53% (7.21–86.92)
CO2 emissions (metric tons per capita)*1036112.90 (1.57–1004.37)
Improved water source (% of population with access)102568.72% (19.50–99.90)
Improved sanitation facilities (% of the population with access)103837.26% (3.00–98.40)
Total alcohol consumption, per capita*‡934305.50 (1.00–1189.00)

[i] – Divided by 100; * – Multiplied by 100.

Total alcohol consumption and mean years of schooling had the most data gaps, with a missing analysis of 10.2% and 7.8% respectively. This was addressed using standard linear interpolation with linear extrapolation outside of the known data range.

Table 2

Regression coefficients of model estimations.

Explanatory VariablesModel 1 – Life expectancy coefficient (t-ratio)Model 2 – Life expectancy coefficient (t-ratio)
Health Expenditure0.0023 (2.6494)0.0027 (2.8082)
Out-of-pocket Expenditure0.0015 (1.9770)0.0009 (0.8500)
Income0.0064 (4.9465)0.0146 (7.4467)
Education0.0132 (5.4185)0.0190 (7.7176)
Food Production–0.0007 (–1.9799)–0.0021 (–2.4424)
Urbanization0.3537 (46.3057)0.2385 (22.3734)
CO2 emissions0.0019 (2.2721)–0.0002 (–0.2572)
Water Access–0.0156 (–1.7724)0.1054 (8.1903)
Sanitation Access0.0402 (6.9397)0.0471 (8.4221)
Alcohol Consumption0.0000 (0.1579)–0.0003 (–0.7965)
Intercept2.6208 (0.0467)2.5203 (0.0322)
Observations (countries)1040 (52)780 (52)
NRMSE Accuracy0.9850.990
R20.8130.911

[i] Model 1 = Generalized least square regressions, with country-fixed effects, error terms following a country-specific AR(1) and correction for heteroskedasticity. Model 2 = As Per model 1, with 5-year, lagged explanatory variables. NRMSE = normalized root mean square error. R2 = Efron’s pseudo r-squared.

Table 3

Relative contributions of the explanatory variables to life expectancy gains over time: 1995 to 2009 (from estimated coefficients in Table 2).

Explanatory variablesRegression Coefficient1Contribution to Life Expectancy1995 Value2009 Value
%Months
Health Expenditure0.0027**0.211.4123.6264.8
Out-of-pocket Expenditure0.0009    nsns43.937.4
Income0.0146**1.117.72403.85154.9
Education0.0190**0.513.53.64.7
Food Production–0.0021*  –0.02–0.1394.6103.7
Urbanization0.2385**3.3623.135.841.3
CO2 emissions–0.0002    nsns0.91.2
Water Access0.1054**1.5610.762.172
Sanitation Access0.0471**0.674.633.939.1
Alcohol Consumption–0.0003    nsns2.93.1
Countries Average    687.6

[i] 1 = model 2, with 5-year, lagged explanatory variables. Regression based on 780 Observations across 52 countries. Significant code: ** indicates significance at 1%; * indicates at 5%; ‘ns’ indicates not significant.

Figure 1

Life expectancy gains associated with percentage change in explanatory variables over time.

°indicates not significant.

Table I

Alternative model specification excluding GDP per capita.

Explanatory VariablesFull Model1Model excluding Income2
Health Expenditure0.0027 (2.8082)0.0041 (4.6023)
Out-of-pocket Expenditure0.0009 (0.8500)–0.0000 (–0.0136)
Education0.0190 (7.7176)0.0281 (10.0765)
Food Production–0.0021 (–2.4424)–0.0013 (–1.4477)
Urbanization0.2385 (22.3734)0.2811 (26.5612)
CO2 emissions–0.0002 (–0.2572)0.0011 (1.1730)
Water Access0.1054 (8.1903)0.0412 (5.2916)
Sanitation Access0.0471 (8.4221)0.0686 (12.2647)
Alcohol Consumption–0.0003 (–0.7965)–0.0001 (–0.6496)
Income0.0146 (7.4467)    
Intercept2.5203 (0.0322)2.5710 (0.0293)
Observations (countries)780 (52)780 (52)
NRMSE Accuracy0.9900.990
R20.9110.907

[i] 1 GLS Model, with country-fixed effects, error terms following a country-specific AR(1) and correction for heteroskedasticity, with 5-year lagged explanatory variables.

2 As per full model specification, excluding income (GDP per capita).

Table II

Definition and sources of all variables.

VariableDefinitionAggregation MethodSource
Life expectancy at birth, total (years)Life expectancy at birth indicates the number of years a newborn infant would live if prevailing patterns of mortality at the time of its birth were to stay the same throughout its life.Total (years)
Weighted average
World Bank
Health expenditure per capitaTotal health expenditure is the sum of public and private health expenditures as a ratio of total population. It covers the provision of health services (preventive and curative), family planning activities, nutrition activities, and emergency aid designated for health but does not include the provision of water and sanitation.PPP (constant 2011 international $)
Weighted average
World Bank
Out-of-pocket expenditureOut of pocket expenditure is any direct outlay by households, including gratuities and in-kind payments, to health practitioners and suppliers of pharmaceuticals, therapeutic appliances, and other goods and services whose primary intent is to contribute to the restoration or enhancement of the health status of individuals or population groups. It is a part of private health expenditure.% of total expenditure on health
Weighted average
World Bank
Gross domestic product – GDP, PPP (constant 2011 international $)PPP GDP is gross domestic product converted to international dollars using purchasing power parity rates. GDP is the sum of gross value added by all resident producers in the economy plus any product taxes and minus any subsidies not included in the value of the products.PPP (constant 2011 international $)
Weighted average
World Bank
Mean years of schooling population 25+ yearsAn average number of completed years of education of a country’s population aged 25 years and older, excluding years spent repeating individual grades.Total (years)
Weighted average
UNESCO Institute for Statistics
Food Production index (Production Indices)Food production index covers food crops that are considered edible and that contain nutrients. Coffee and tea are excluded because, although edible, they have no nutritive value.Gross per capita Production Index Number (2004–2006 = 100): International US$Food and Agriculture Organization of the United Nations (FAO)
Urban population (% of total)Urban population refers to people living in urban areas as defined by national statistical offices.% of population
Weighted average
World Bank
CO2 emissions (metric tons per capita)Carbon dioxide emissions are those stemming from the burning of fossil fuels and the manufacture of cement. They include carbon dioxide produced during consumption of solid, liquid, and gas fuels and gas flaring.Metric tons per capitaWorld Bank
Improved water source (% of the population with access)Access to an improved water source refers to the percentage of the population using an improved drinking water source. The improved drinking water source includes piped water on premises (piped household water connection located inside the user’s dwelling, plot or yard), and other improved drinking water sources (public taps or standpipes, tube wells or boreholes, protected dug wells, protected springs, and rainwater collection).% of population
Weighted average
World Bank
Improved sanitation facilities (% of the population with access)Access to improved sanitation facilities refers to the percentage of the population using improved sanitation facilities. Improved sanitation facilities are likely to ensure hygienic separation of human excreta from human contact. They include flush/pour flush (to the piped sewer system, septic tank, pit latrine), ventilated improved pit (VIP) latrine, pit latrine with slab, and composting toilet.% of population
Weighted average
World Bank
Total alcohol consumption per capita (liters of pure alcohol, projected estimates, 15+ years of age)Total alcohol consumption per capita is based on projections for the amount of alcohol consumption (liters of pure alcohol) per person ages 15+ per year.Liters of alcohol consumed per capita.
Weighted average
World bank
DOI: https://doi.org/10.5334/aogh.2307 | Journal eISSN: 2214-9996
Language: English
Published on: Apr 29, 2019
Published by: Ubiquity Press
In partnership with: Paradigm Publishing Services
Publication frequency: 1 issue per year

© 2019 Donald Salami, Ahmed Nabil Shaaban, Maria do Rosário Oliveira Martins, published by Ubiquity Press
This work is licensed under the Creative Commons Attribution 4.0 License.