Simulation estimation of two‐tiered dynamic panel Tobit models with an application to the labor supply of married women

In this paper a computationally practical simulation estimator is proposed for the two‐tiered dynamic panel Tobit model originally developed by Cragg ( 1971 ). The log‐likelihood function simulated through procedures based on a recursive algorithm formulated by the Geweke–Hajivassiliou–Keane simulator is maximized. The simulation estimators are then applied to study the labor supply of married women. The rich dynamic structure of the labor force participation decision as well as hours worked decisions that are conditional on the participation of married women are identified by using the proposed simulation estimators. The average partial effects of the participation and hours worked decisions for married women in response to fertility decisions and increases in the husband's income are also investigated. It is found that the hypothesis that the fertility decision is exogenous and the hypothesis that the husband's income is exogenous to married women's labor supply function are both rejected in the dynamic and static two‐tiered models. Moreover, children aged between 6 and 13 years old may have a negative impact on the hours worked decision for married women that is conditional on their participation. However, these children may provide some positive incentives for married women to participate in the labor force. Copyright © 2009 John Wiley & Sons, Ltd.     

Accounting for wage and employment changes in the US from 1968–2000: A dynamic model of labor market equilibrium

In this article, we present a unified treatment of and explanation for the evolution of wages and employment in the US over the last 30 years. Specifically, we account for the pattern of changes in wage inequality, for the increased relative wage and employment of women, for the emergence of the college wage premium and for the shift in employment from the goods to the service-producing sector. The underlying theory we adopt is neoclassical, a two-sector competitive labor market economy in which the supply of and demand for labor of heterogeneous skill determines spot market skill rental prices. The empirical approach is structural. The model embeds many of the features that have been posited in the literature to have contributed to the changing US wage and employment structure including skill-biased technical change, capital-skill complementarity, changes in relative product-market prices, changes in the productivity of labor in home production and demographics such as changing cohort size and fertility.     

Fertility and female employment dynamics in Europe: the effect of using alternative econometric modeling assumptions

We investigate the direct and long‐run effects of fertility on employment in Europe, estimating dynamic models of labor supply under different assumptions regarding the exogeneity of fertility and modeling assumptions related to initial conditions, unobserved heterogeneity and serial correlation in the error terms. We find overall large direct and long‐run effects of giving birth on employment probabilities, and these effects differ considerably across countries. We find that within countries the results are sensitive to the statistical assumption made on initial conditions, the inclusion of serial correlation and the assumption of strict exogeneity of children. However, the pattern across countries is robust to these assumptions. We show that such patterns are largely consistent with prevailing institutional differences related to the flexibility of the labor markets and family policies. Copyright © 2009 John Wiley & Sons, Ltd.     

Joint estimation of sequential labor force participation and fertility decisions using Markov chain Monte Carlo techniques

We analyze the effect of children on the labor supply of married women in a framework that accounts for the endogeneity of labor market and fertility decisions, for the heterogeneity of the effects of children and their correlation with the fertility decisions, and for the correlation of sequential labor market decisions. Women with stronger propensity for market work have fewer children, work more before the first birth, and face larger negative effects of children. The total effect of a child remains considerable long after birth; prior birth-related reductions in labor supply account for a significant share of the total effect.     

Labor supply,income, and welfare of the farm household

Considering family labor and hired labor as heterogeneous inputs, we present a theoretical framework in which the optimal decisions of a farm household on on-farm family and hired labor, off-farm labor supply, and leisure are determined uniquely and endogenously. Focusing on two alternative settings with and without off-farm employment constraints, we show that imperfect substitutability between family labor and hired labor is not critical to the separation of household production and consumption. The validity of the separation proposition is shown to depend crucially on whether or not the availability of off-farm job opportunities is limited. We further examine how changes in external economic conditions and government policies affect the time allocation decisions of the household, as well as the composition of household income (i.e., on-farm income and off-farm labor earnings).     

On the role of labor supply for the optimal size of Social Security

The paper studies the welfare effects of a Social Security system in a stylized overlapping generations economy with random production and capital accumulation. Different welfare concepts including long run optimality, social optimality, and time consistency are employed to determine the optimal size of the system. When labor supply is exogenous, a unique contribution level can be identified which is optimal according to all three concepts. When labor supply is endogenous, however, this result generically fails to hold and the long-run optimal solution is only constrained socially optimal while the time-consistent policy may even lead to an inefficient equilibrium.     

The effect of labor supply changes on output: empirical evidence from US industries

In this paper we examine the relationship between labor supply and industry-level output in the context of the specific factors model. Jones (Trade, balance of payment and growth: essays in honor of Charles P. Kindleberger, Amsterdam, pp 3–21, 1971) shows that a rise in the amount of labor in the economy will increase the output in all industries. We empirically show which industry output is predicted to expand more when the size of labor force grows. Unlike the commonly used Rybczynski Theorem (Economica 22:336–341, 1955) of the Heckscher-Ohlin model, the specific factors model shows that a comparison both of labor intensities and labor demand elasticities plays an important role in determining which output expands relatively more when the size of labor force grows. For this purpose, we illustrate the importance of the parameters of the model in determining how changes in the labor supply affect the output change, with special reference to elasticities of substitution in production. We estimate the elasticity of substitution by using CES production function and show how these estimates describe the general equilibrium of production with one mobile factor (labor) and 25 industries of the US economy using data for 1979–2001. We show that the increase in the supply of labor raise output in all industries, but the magnitudes of the increases in some industries are more than others depending on the value of the elasticity of substitution along with factor intensities between industries. The largest output effect occurs for educational, health care and social service, where a 1 % supply of labor increase would raise output 10.5 %. However, the growth in the labor supply has a small impact on output growth in the range of 0.1–0.6 % in agriculture, petroleum, coal product and finance and insurance industries.     

Family planning in a life-cycle model with income risk

Several US states have recently restricted the access to abortions. We study fertility intentions and how family planning and abortions are used as mechanisms to control fertility among couples facing income risk. We formulate and estimate a life-cycle consumption-saving model with uninsurable income risk and imperfect contraceptive control that matches fertility behavior in the British Household Panel Survey (BHPS) well. We use the estimated model to investigate how family planning and abortions are used to control fertility in our model. Our simulations suggest that income risk affects family planning and that abortion is used to control fertility due to the presence of income risk. This indicates that the availability of abortions might play a role as an insurance mechanism.     

Population,pensions, and endogenous economic growth

We study the effect of a declining labor force on the incentives to engage in labor-saving technical change and ask how this effect is influenced by institutional characteristics of the pension scheme. When labor is scarcer it becomes more expensive and innovation investments that increase labor productivity are more profitable. We incorporate this channel in a new dynamic general equilibrium model with endogenous economic growth and heterogeneous overlapping generations. We calibrate the model for the US economy and obtain the following results. First, the effect of a decline in population growth on labor productivity growth is positive and quantitatively significant. In our benchmark, it is predicted to increase from an average annual growth rate of 1.74% over 1990–2000 to 2.41% in 2100. Second, institutional characteristics of the pension system matter both for the growth performance and for individual welfare. Third, the assessment of pension reform proposals may depend on whether economic growth is endogenous or exogenous.     

Labor supply responses to the 1990s Japanese tax reforms

The consumption-leisure choice model implies that an exogenous change in tax rates will induce a change in labor supply. This implication is expected to be important to labor supplied by secondary earners under a progressive tax system when spousal income alters effective marginal tax rates. This paper examines labor supply responses to the income tax changes associated with Japanese tax reforms during the 1990s. The results indicate that the hours-of-work elasticity with respect to the net-of-tax rate is 0.8 for married women.     

Heterogeneous effects of child disability on maternal labor supply: Evidence from the 2000 US Census

Previous research has documented a negative relationship between child disability and maternal labor supply. Because of data limitations, most studies in this literature use broad measures of disability, which may obscure important differences among children with limiting health conditions. This paper presents new evidence on the labor supply of women with disabled children, exploiting disability information provided by 2000 US Census. This large nationally representative sample allows us to test for differences across different types of disabling conditions. We find that accounting for this heterogeneity in conditions is important. Using a broad definition of disability results in small differences between women with and without a disabled child. When we use a more detailed classification, we find larger labor supply reductions for mothers of children with physical disabilities or limitations in their ability to care for themselves. There is less evidence that having a child with either mental or emotional limitations or a sensory impairment is negatively related to employment or weekly hours. We also test for heterogeneous effects related to child age and maternal education. We find no clear pattern with respect to age and some evidence that the relationship between child disability and maternal labor supply is stronger for less educated mothers.     

Can child care policy encourage employment and fertility?: Evidence from a structural model

We develop a structural model of female employment and fertility which accounts for intertemporal feedback effects between these two outcomes. To identify the effect of financial incentives on employment and fertility we exploit variation in the tax and transfer system, which differs by employment state and number of children. Specifically, we simulate in detail the effects of the tax and transfer system, including child care costs. The model provides estimates of the structural preferences of women that can be used to study the effect of various policy reforms. Results show that increasing child care subsidies, conditional on employment, increases the labor supply of all women as well as the fertility rates of the childless and highly educated women.     

Increasing the credibility of the twin birth instrument

Twin births are an important instrument for the endogenous fertility decision. However, twin births are not exogenous either as dizygotic twinning is correlated with maternal characteristics. Following the medical literature, we assume that monozygotic twins are exogenous, and construct a new instrument, which corrects for the selection although monozygotic twinning is usually unobserved in survey and administrative datasets. Using administrative data from Sweden, we show that the usual twin instrument is related to observed and unobserved determinants of economic outcomes, while our new instrument is not. In our applications we find that the classical twin instrument underestimates the negative effect of fertility on labor income. This finding is in line with the observation that high earners are more likely to delay childbearing and hence have a higher risk to get dizygotic twins.     

Indeterminacy in discrete-time infinite-horizon models with non-linear utility and endogenous labor

We consider a discrete-time two-sector model with sector specific externalities in which the technologies are given by CES functions with asymmetric elasticities of capital–labor substitution, and the preferences of the representative agent are given by a CES additively separable utility function defined over consumption and leisure. We first show that when the labor supply is infinitely elastic, the steady state is always saddle-point stable, no matter what the elasticity of intertemporal substitution in consumption and the size of externalities are. We then prove that when the elasticity of intertemporal substitution in consumption is sufficiently large, local indeterminacy requires a low enough elasticity of the labor supply.     

Household debt and labor market fluctuations

The co-movements of labor productivity with output, total hours, vacancies and unemployment have changed since the mid 1980s. This paper offers an explanation for the sharp break in the fluctuations of labor market variables based on endogenous labor supply decisions following the mortgage market deregulation. We set up a search model with efficient bargaining and financial frictions, in which impatient borrowers can take an amount of credit that cannot exceed a proportion of the expected value of their real estate holdings. When borrowers' equity requirements are low, the impact of a positive technology shock on the marginal utility of consumption is strengthened, which in turn results in lower hours per worker and higher wages in the bargaining process. This shift in labor supply discourages firms from opening vacancies, reducing the impact of the shock on employment. We simulate the effects of an increase in both the loan-to-value ratio and the share of borrowers in total population. Our exercise shows that the response of labor market variables might have been substantially affected by the increase in household leverage in the US in the last twenty years.     

Tax enforcement policies,tax evasion and time allocation

Several studies examine the effect of tax rates on households’ labor supply decisions in attempts to account for observed differences in work hours across countries. Interestingly, these studies fail to consider a fundamental action associated with taxation: tax evasion. This paper introduces, into a general equilibrium model of household labor supply, the possibility that households can evade labor income taxes. We show that the relationship between tax-enforcement policies, the elasticity of substitution between consumption and leisure and the elasticity of substitution between formal and informal work is key to explain formal labor supply in major OECD countries. In a model without informal work, there is a positive relationship between the elasticity of substitution and the tax rate on formal income and people tend to work more. This is the case for the United States, Greece, Finland and the United Kingdom. This relationship becomes negative once informal activities are introduced and the model can explain formal labor supply better in countries where agents work relative less, i.e., in Austria, Denmark, France, Germany, Spain, Norway and Sweden. We also obtain estimates of hours worked in the informal sector for these countries.     

Family size and child outcomes: Is there really no trade-off?

We study the impact of family size on intermediate and long-term outcomes using twin births as an exogenous source of variation in family size in an unusually rich dataset. Similar to recent studies, we find no evidence of a causal effect on long-term outcomes and show that not taking selection effects into account will likely overstate the effects. We do, however, find a small but significant negative impact of family size on grades in compulsory and secondary school among children who are likely to be vulnerable to further restrictions on parental investments.     

THEORETICAL AND PRACTICAL ARGUMENTS FOR MODELING LABOR SUPPLY AS A CHOICE AMONG LATENT JOBS

Models of labor supply derived from stochastic utility representations and discretized sets of feasible hours of work have gained popularity because they are more practical than the standard approaches based on marginal calculus. In this paper we argue that practicality is not the only feature that can be addressed by means of stochastic choice theory. This theory also offers a powerful framework for developing a more realistic model for labor supply choices, founded on individuals having preferences over jobs and facing restrictions on the choice of jobs and hours of work. We discuss and clarify how this modeling framework deviates from both the conventional discrete approach [Van Soest, A. ( 1995 ) Structural models of family labor supply. A discrete choice approach. Journal of Human Resources 30: 63–88), as well as the standard textbook approach based on marginal calculus (Hausman, J.A. ( 1992 ) The econometrics of nonlinear budget sets. Econometrica 53: 1255–1282]. We furthermore discuss how the model based on job choice can be applied to simulate effects of alternative restrictions on hours of work.     

Time costs,aspirations and the effect of economic growth on German fertility

Recent research has shown strong support for the model of reproductive behavior derived from the new home economics, and it is shown in this discussion that the evidence from the Federal Republic of Germany is consistent with the new home economics model. There is little support for Easterlin's relative economic hypothesis, but there is limited endorsement for model which adds the influence of experience based material aspirations to the new home economics model. Easterlin's relative income model is reviewed before directing attention to the new home economics model and an explanation of fertility movements in West Germany. The new home economics model focuses on the family division of labor between home activities and work outside the home. The marked decline in German fertility during the 1970s is mostly attributable to factors such as expanding women's earning capacities which increased the importance of 2 earner families, who have a different family division of labor and possibly preferences biased towards "quality" of children rather than numbers. Also, real wage growth lagged behind the growth in experience based aspirations, and this drop in relative income is more dramatic if it is presumed that material aspirations are based upon the family's income experienced by a young adult during his/her adolescence, rather than just the father's earnings. The mother's contribution to family income will contribute to her family's actual standard of living and the desired standard of living of her children. The labor force participation rates of married, middle-aged German women increased markedly during the 1st half of the 1950s, thus tending to enhance the increase in the standard of living desired by the young adults reaching marrying and childbearing ages in the mid-1960s. The analysis indicates that if there is not a substantial reduction in the proportion of young married women in the labor force, fertility will move countercyclically. In that there must be some floor to fertility, one should be cautious of using these parameter estimates considerably outside the 1950-1977 period. Nonetheless, the estimates indicate that economic growth will not bring a substantial rise in German fertility, and, outside the unlikely situation of sustained economic decline, fertility will remain low.     

Can progressive taxation account for cross-country variation in labor supply?

The difference between average hours worked in the US and average hours worked in Continental European countries has been increasing since the early 1970s. To explain this phenomenon, this paper develops an endogenous growth model with two key properties: agents are heterogeneous in their rates of time preference and labor skills, and the model incorporates progressive income taxes. The model is calibrated to US and German data for the periods 1971-1974 and 1986-1989. Our findings suggest that the degree of progressivity is a major factor in explaining the patterns of the US and German labor supply over time. Predictions of the model also match the distributional trends in both countries during this time period.