Human capital,technological progress and the demographic transition*

We emphasize the importance to consider components of population growth — fertility and mortality ‐ separately, when modeling the mutual interaction between population and economic growth. Our model implies that two countries with the same population growth will not converge towards the same level of per capita income. The country with the lower level of birth and death rates will be better off in the long run. Introducing a spill over effect of average human capital on total productivity our model implies multiple equilibria as illustrated in Becker el al. (1990) and Strulik (1999). Besides the existence of a low and high level equilibrium ‐ as characterized by low and high levels of per capita output respectively ‐ we show the existence of multiple low level (Malthusian) equilibria. Initial conditions and parameters of technological progress and human capital investment determine whether an economy is capable to escape the low level equilibrium trap and to enjoy sustained economic growth.     

Fertility and endogenous gender bargaining power

We develop an intra-household bargaining model to examine the feedback effect of household fertility decisions on gender bargaining power. In our model, the household balance of power is endogenously determined reflecting social interactions, i.e., the fertility choices by the other couples in society. We show the presence of multiple equilibria in fertility outcome: one equilibrium characterized by patriarchal society with a high fertility rate, and another in which women are sufficiently empowered and the fertility rate is low. In other circumstances, this study also demonstrates a positive relationship between female wage rates and the fertility outcomes. Finally, we discuss its policy implications, comparing the effects of two family policies: the child allowance and the subsidies for market childcare.     

Economic growth and stagnation with endogenous health and fertility

This article offers a theory of economic growth, stagnation, and demo-economic transition that originates from external effects of child-bearing, health expenditure, and education under endogenous mortality. Facing a hierarchy of needs, parents always consume and want to have a family. Child quality, measured as a two-dimensional vector of child health and schooling, becomes only affordable when uncontrollable mortality is sufficiently low. Child quality expenditure initiates an economic take-off and convergence towards perpetual growth while its absence may cause convergence towards an equilibrium of economic stagnation and high fertility. This way, the article provides an explanation for diverging growth rates from a cross-country perspective.I would like to thank Noël Bonneuil, Piero Manfredi, Nikolaus Siegfried, Richard Tol, and two anonymous referees for useful comments. Responsible editor: Alessandro Cigno.     

Adieu Rabenmutter—culture,fertility, female labour supply,the gender wage gap and childcare

This paper studies the effect of cultural attitudes on childcare provision, fertility, female labour supply and the gender wage gap. Cross-country data show that fertility, female labour force participation and childcare provision are positively correlated with each other, while the gender wage gap seems to be negatively correlated with these variables. The paper presents a model with endogenous fertility, female labour supply and childcare choices driven by cultural attitudes which fits these facts. There may exist multiple equilibria: one with zero childcare provision, low fertility and female labour supply and high wage gap and one with high childcare provision, high fertility and female labour supply and low wage gap.     

A model of endogenous divorce and endogenous fertility

This paper examines the interaction between decisions on divorce and fertility. The analysis generates two major implications. Firstly, it complements the existing literature on endogenous fertility to explain why population growth and economic growth can be negatively correlated after an economy develops to a certain level. Secondly, it indicates that economic development leads to a simultaneous increase in divorce rates and decrease in fertility rates. Received: 05 February 1999/Accepted: 20 December 1999     

Endogenous fertility and human capital in a Schumpeterian growth model

This study develops a scale-invariant Schumpeterian growth model with endogenous fertility and human capital accumulation. The model features two engines of long-run economic growth: R&D-based innovation and human capital accumulation. One novelty of this study is endogenous fertility, which negatively affects the growth rate of human capital. Given this growth-theoretic framework, we characterize the dynamics of the model and derive comparative statics of the equilibrium growth rates with respect to structural parameters. As for policy implications, we analyze how patent policy affects economic growth through technological progress, human capital accumulation, and endogenous fertility. In summary, we find that strengthening patent protection has (a) a positive effect on technological progress, (b) a negative effect on human capital accumulation through a higher rate of fertility, and (c) an ambiguous overall effect on economic growth.     

Population aging and endogenous economic growth

We investigate the consequences of population aging for long-run economic growth perspectives. Our framework incorporates endogenous growth models and semi-endogenous growth models as special cases. We show that (1) increases in longevity have a positive impact on per capita output growth, (2) decreases in fertility have a negative impact on per capita output growth, (3) the positive longevity effect dominates the negative fertility effect in case of the endogenous growth framework, and (4) population aging fosters long-run growth in the endogenous growth framework, while its effect depends on the relative change between fertility and mortality in the semi-endogenous growth framework.     

Life expectancy, fertility, and educational investment

In this study, we develop a model of overlapping generations where adults make decisions on consumption, fertility, and their personal education. We show that under the assumption of exogenous mortality, there are multiple steady states with club convergence occurring when mortality is sufficiently high. If mortality is sufficiently low, there will be a unique, stable steady state, and the economy will converge to a “good” steady state irrespective of where it starts from. Under the assumption of endogenous mortality with “threshold effects,” we find that club convergence will occur if the threshold is sufficiently high; conversely, a low threshold can help the economy to steer clear of the underdevelopment trap.     

Neoclassical growth with endogenous age distribution. Poverty vs low-fertility traps as steady states of demographic transitions

Compared to other factors, the role of the age distribution of the population as a key endogenous determinant of economic growth trajectories has traditionally been overlooked. This is unrealistic, especially when dealing with major epochs of structural change, such as demographic transitions. We set up a model combining a simple representation of the economy, based on the neoclassical growth model of Solow, with a comprehensive representation of population dynamics. The model is used to investigate the structure of balanced growth states of the population and the economy in the presence of demographic transitions. The analysis shows that proper inclusion of age structure enriches the spectrum of the long-run equilibria of the neoclassical model, allowing up to five states of balanced growth, and shows the onset of “poverty” and “low-fertility” traps as different facets of fertility transitions. The role of different timing of fertility, mortality and savings transitions, and of more realistic demography of capital, is also considered.     

On demographic transition,structural change,and economic growth and stagnation

The paper analyzes an economy with an agrarian and an industrial sector. Demand is determined by Engel's Law. Population growth follows a non‐linear income dependent path according to the theory of demographic transition. In case of decreasing returns to scale in the agrarian sector the existence of a stable low‐income equilibrium with high population growth can be shown. If this equilibrium is globally unstable, the system evolves towards a steady‐state of perpetual economic growth and low population growth. The path of demographic transition coincides with a path of structural change from an economy specialized in agriculture to a fully industrialized economy. The introduction of an income dependent savings rate allows the interpretation of the low‐income equilibrium as a limit cycle and, therefore, the explanation of high fluctuations in population growth and per capita income in least developed economies.     

对我国未来“内生型”极低生育率水平的预警分析

本文通过对世界“内生型”极低生育率国家和地区的生育率主要影响因素分析,采用横截面替代方法得出了在极低生育率条件下生育率影响因素的替代系数,并对我国生育意愿达到“内生型”极低生育率的时间进行了估测,为我国调整生育政策避免进入“逆马尔萨斯”陷阱的人口危机做出了预警,并结合实际对我国生育政策微调提出了相关建议。     

Pay-as-you-go financed public pensions in a model of endogenous growth and fertility

Employing an overlapping generations endogenous growth model in which parents derive utility from having children and, additionally, expect children to support them in old age, this paper explores the interrelation between growth, fertility, and the size of pay-as-you-go financed public pensions. It is shown that small sized public pensions stimulate per capita income growth, but further increases in public pensions eventually reduce it. Fertility, on the other hand, falls by an increase in public pensions if they are either small or large. Medium sized public pensions, however, may stimulate fertility. Received: 9 September 1997 / Accepted: 10 April 1998     

Land cover change and fertility in West-Central Africa: rural livelihoods and the vicious circle model

The vicious circle argument, rooted in a neo-Malthusian tradition, states that resource scarcity increases the demand for child labor and leads to higher fertility. The rural livelihood framework, on the other hand, contends that households employ multiple strategies, only one of which involves adjusting their fertility levels as a response to environmental pressures. This study provides a unique test of both theories by examining the relationship between land cover change and fertility across hundreds of rural communities in four West-Central African countries. The findings reveal a complex relationship between natural capital and fertility. In communities where natural capital was initially low, a further decline in that capital is associated with both higher fertility preferences and levels. However, we find that fertility preferences and behavior are often discordant, with notable within-community differences in response to decline in natural capital across levels of household wealth.     

Growth and inequality: a demographic explanation

This paper investigates the relationship between growth and inequality from a demographic point of view. In an extended model of the accidental bequest with endogenous fertility, we analyze the effects of a decrease in old-age mortality rate on the equilibrium growth rate as well as on the income distribution. We show that the relationship between growth and inequality is at first positive and then may be negative in the process of population aging. The results are consistent with the empirical evidence in some developed countries.

Fertility decisions when infant survival is endogenous

There is evidence that fertility is positively correlated with infant mortality, and that a child‘s chance of surviving to maturity increases with the level of nutrition, medical care, etc. received in the early stages of life. By modelling parental decisions as a problem of choice under uncertainty, the paper shows that fertility and infant mortality are most likely to move in opposite directions if, as implicitly assumed by existing economic theories, parents believe that there is nothing they can do to improve the survival chances of their own children. By contrast, if parents realize that those chances improve with the amount they spend for the health, nutrition, etc. of each child that they put into the world, then fertility and infant mortality may move in the same direction. Under such an assumption, the model has the strong policy implication that directly death-reducing public expenditures are most effective, but stimulate population growth, at low levels of development. By contrast, at high levels of development, such expenditures tend to crowd out parental expenditures, and are a factor in fertility decline. Received: 14 October 1996 / Accepted: 28 July 1997     

Assessing Parfit’s Repugnant Conclusion within a canonical endogenous growth set-up

Parfit’s Repugnant Conclusion stipulates that under total utilitarianism, it might be optimal to choose increasing population size while consumption per capita goes to zero. We evaluate this claim within a canonical AK model with endogenous population size and a reduced form relationship between demographic and economic growth. First we characterize the optimal solution paths for any capital dilution function. Second, we prove that while the Repugnant Conclusion can never occur for realistic values of intertemporal substitution in the traditional linear dilution model, it does occur when population growth is linked to economic growth via an inverted U-shaped relationship.     

Endogenous fertility,endogenous lifetime and economic growth: the role of child policies

We examine the effects of child policies on both transitional dynamics and long-term demo-economic outcomes in an overlapping-generations neoclassical growth model à la Chakraborty (J Econ Theory 116(1):119–137, 2004) extended with endogenous fertility under the assumption of weak altruism towards children. The government invests in public health, and an individual’s survival probability at the end of youth depends on health expenditure. We show that multiple development regimes can exist. However, poverty or prosperity does not necessarily depend on the initial conditions, since they are the result of how a child policy is designed. A child tax, for example, can be used effectively to enable those economies that were entrapped in poverty to prosper. There is also a long-term welfare-maximising level of the child tax. We show that a child tax can be used to increase capital accumulation, escape from poverty and maximise long-term welfare also when (a) a public pay-as-you-go pension system is in place and (b) the government issues an amount of public debt. Interestingly, there also exists a couple child tax–health tax that can be used to find the second-best optimum optimorum. In addition, we show that results are robust to the inclusion of decisions regarding the child quantity–quality trade-off under the assumption of impure altruism. In particular, there exists a threshold value of the child tax below (resp. above) which child quality spending is unaffordable (resp. affordable) and different scenarios are in existence.     

Pensions with heterogenous individuals and endogenous fertility

We study the design of pension schemes when fertility is endogenous and parents differ in ability to raise children. Pay-as-you-go schemes require, under perfect information, a marginal subsidy on fertility to correct for the externality they create, equal pensions, and contributions that increase or decrease with the number of children. Under asymmetric information, incentive-related distortions supplement the Pigouvian subsidy. These require an additional subsidy or an offsetting tax depending on whether the redistribution is towards people with more or with less children. In the former case, pensions are decreasing in the number of children; otherwise, they are increasing.     

Explaining spousal differences in reproductive preferences: A gender inequality approach

Using data from the 1988 Ghana Demographic and Health Survey we show that, contrary to some earlier findings, substantial differences in fertility goals exist between spouses in sub-Saharan Africa. Further, we indicate that gender inequality is associated with these differences in fertility goals. Women in dyads that give nonnumeric responses to questions on preferred family size are very likely to have low status, which may lead them to have high fertility. The need for more research at the micro level is stressed, given the social, economic, and environmental costs of neglecting to do so.     

The multistate stable population model with immigration

This paper outlines the discrete‐time and continuous‐time formulations of the stable population model with immigration, showing their commonality. It then illustrates how the model can be extended to include multiple interacting populations, and goes on to consider a multistate version of reproductive value that further illuminates the evolutionary dynamics of an “open”; model of multistate population growth and redistribution. Attention is restricted to results arising from a fertility regime that is below replacement level.