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Dr. Ka-fu Wong. ECON1003 Analysis of Economic Data. A test of the relation between fertility rate and mortality rate?. Ka-fu WONG (Presenter) & Alice LEE (Writer). Are mortality and fertility related?.
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Dr. Ka-fu Wong ECON1003 Analysis of Economic Data
A test of the relation between fertility rate and mortality rate? Ka-fu WONG (Presenter) & Alice LEE (Writer)
Are mortality and fertility related? • Demographers have pointed out that in many cases mortality decline precedes fertility decline, which suggests a causal link from falling mortality to falling fertility. • The model of Barro and Becker (1989) implies falling mortality rates tend to lower the cost of having a surviving child, hence fertility actually increases, not decreases, as mortality declines. (Instead of emphasizing mortality decline, the Barro-Becker framework points to the quantity-quality tradeoff as an explanation for fertility decline: parents choose to have smaller families in order to invest more in the education of each child.) Barro, Robert and Gary S. Becker (1989): “Fertility Choice in a Model of Economic Growth,” Econometrica 57(2): 481-501.
Are mortality and fertility related? • Kalemli-Ozcan (2002) argues when mortality is stochastic and parents want to avoid the possibility of ending up with very few (or zero) surviving children, a “precautionary” demand for children arises. • Extending the theoretical model of Barro and Becker (1989), Doepke (2002) predicts a negative relationship between mortality and fertility. Kalemli-Ozcan, Sebnem (2002) “A Stochastic Model of Mortality, Fertility, and Human Capital Investment.” Forthcoming, Journal of Development Economics. Doepke, Matthias (2002): “Child Mortality and Fertility Decline: Does the Barro-Becker Model Fit the Facts?” Manuscript, UCLA.
Are income and fertility related? • Burdsall (1988) suggest the so-called Norm curve, which describes fertility as a monotonically declining function of per capita income. Birdsall, N. (1988): “Economic Approaches to Population Growth”, in Handbook of Development Economics, by H. Chenery and T.N. Srinivasan, Eds, Vol. 1, Elsevier: Amsterdam.
Theme of this project • We use fertility data across countries to estimate the relationship between fertility and mortality and per capita income.
Data sources and description • World Development Indicator (WDI) 2002, available from the HKU main library. • Time: year 2000 only. • 172 countries (out of 207) with relevant variables • GDP per capita (in 1995 US$) – a proxy for income per capita. • Infant mortality rate (per 1,000 live births) • Fertility rate (births per woman) • Drop 35 countries: • 32 countries do not report GDP per capita. • Additional 3 countries do not report fertility rate. • Also consider adult illiteracy rate but substantial number of developed countries (such as UK and US) do not report this variable. • Not considered in our final analysis.
Descriptive statistics: Fertility rate 34.3% countries below replacement fertility rate: (=2.1). Hong Kong
Descriptive statistics: Mortality rate Hong Kong
Descriptive statistics: GDP per capita Hong Kong Luxembourg
Regression model I: Statistically different from zero at 1% level of significance. Economically, we expect fertility rate to lower by 0.07005 per woman when the per capita income increases by US$1000.
Regression model I: Rejects the hypothesis that all coefficients are jointly zero. The explanatory variable (per capita income) explains 22.5% of the variation in fertility rate.
Regression model II: Statistically different from zero at 1% level of significance. Not statistically different from zero even at 10% level of significance. Economically, holding per capita income constant, we expect the fertility rate to rise by 0.0367 per woman when mortality increases by 1 infant death per thousand births. Economically, holding mortality rate constant, we expect fertility rate to lower by 0.00973 per woman when the per capita income increases by US$1000.
Regression model II: Rejects the hypothesis that all coefficients are jointly zero. The explanatory variables together explain 74.2% of the variation in fertility rate.
Regression model III: Statistically different from zero at 1% level of significance. Economically, we expect fertility rate to increase by 0.0382 per womanwhen mortality increases by 1 infant death 1 per 1000 birth.
Regression model III: Rejects the hypothesis that all coefficients are jointly zero. The explanatory variable (per capita income) explains 73.9% of the variation in fertility rate.
Conclusion • Fertility rate is strongly directly related to mortality rate. • When mortality rate is included, the explanatory power of income per capita on fertility rate seems small. • Cautions: • Although the model setup seems to suggest a low mortality rate will cause a low fertility rate. The reverse could be true. Countries with a low fertility rate may spend more on infant survival and hence a low mortality rate. • The true relationship may not be linear, e.g., Strulik and Sikandar (2002). Strulik, Holger and Siddiqui Sikandar (2002): “Tracing the income-fertility nexus: Nonparametric Estimates for a Panel of Countries,” Economics Bulletin, 15 (5), pp. 1-9.
A test of the relation between fertility rate and mortality rate? - End -