Assessing the use of sample selection models in the estimation of fertility postponement effects

Abstract.Several studies have shown that at the individual level there exists a negative relationship between age at first birth and completed fertility. Using twin data in order to control for unobserved heterogeneity as possible source of bias, Kohler et al. (2001) showed the significant presence of such "postponement effect" at the micro level. In this paper, we apply sample selection models, where selection is based on having or not having had a first birth at all, to estimate the impact of postponing first births on subsequent fertility for four European nations, three of which have now lowest-low fertility levels. We use data from a set of comparative surveys (Fertility and Family Surveys), and we apply sample selection models on the logarithm of total fertility and on the progression to the second birth. Our results show that postponement effects are only very slightly affected by sample selection biases, so that sample selection models do not improve significantly the results of standard regression techniques on selected samples. Our results confirm that the postponement effect is higher in countries with lowest-low fertility levels.

[1]  R. Lesthaeghe,et al.  Is Low Fertility a Temporary Phenomenon in the European Union , 1999 .

[2]  P. Schmidt,et al.  Limited-Dependent and Qualitative Variables in Econometrics. , 1984 .

[3]  G. D. Zuanna The banquet of Aeolus: A familistic interpretation of Italy's lowest low fertility , 2001 .

[4]  H. Leridon Can assisted reproduction technology compensate for the natural decline in fertility with age? A model assessment. , 2004, Human reproduction.

[5]  A. Gallant,et al.  Semi-nonparametric Maximum Likelihood Estimation , 1987 .

[6]  Ron Lesthaeghe,et al.  [The second demographic transition in Western countries: an interpretation] , 1992 .

[7]  W. V. D. Ven,et al.  The demand for deductibles in private health insurance: A probit model with sample selection , 1981 .

[8]  J J Heckman,et al.  The relationship between wages and income and the timing and spacing of births: evidence from Swedish longitudinal data. , 1990, Econometrica : journal of the Econometric Society.

[9]  F. Vella Estimating Models with Sample Selection Bias: A Survey , 1998 .

[10]  T. Frejka,et al.  Cohort Reproductive Patterns in Low‐Fertility Countries , 2001 .

[11]  F. Billari Becoming an Adult in Europe: A Macro(/Micro)-Demographic Perspective , 2004 .

[12]  Carla Rampichini,et al.  Specification issues in stratified variance component ordinal response models , 2002 .

[13]  Ruud H Koning,et al.  Testing the Normality Assumption in the Sample Selection Model With an Application to Travel Demand , 2000 .

[14]  G. Moors,et al.  Recent trends in fertility and household formation in the industrialized world. , 2000 .

[15]  F. Billari,et al.  The Emergence of Lowest‐Low Fertility in Europe During the 1990s , 2002 .

[16]  K. Christensen,et al.  The age at first birth and completed fertility reconsidered: findings from a sample of identical twins. , 2001 .

[17]  J. Heckman Sample selection bias as a specification error , 1979 .

[18]  F. Billari,et al.  Household and Union Formation in a Mediterranean Fashion: Italy and Spain , 2002 .

[19]  D. Coleman,et al.  The Netherlands:Paradigm or Exception in Western Europe’s Demography? , 2002 .

[20]  James J. Heckman,et al.  New Evidence on the Timing and Spacing of Births , 1985 .

[21]  R. Moffitt New Developments in Econometric Methods for Labor Market Analysis , 1999 .

[22]  J. Heckman The Common Structure of Statistical Models of Truncation, Sample Selection and Limited Dependent Variables and a Simple Estimator for Such Models , 1976 .

[23]  F. Billari,et al.  Patterns of low and lowest-low fertility in Europe , 2004, Population studies.