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A behavioral Gompertz model for cohort fertility schedules in low and moderate fertility populations

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  • Joshua R. Goldstein

    (Max Planck Institute for Demographic Research, Rostock, Germany)

Abstract

In this paper, I re-introduce the Gompertz model of age-specific fertility. This model has been rejected by past authors as fitting poorly to cross-sectional, or period rates. However, I find that the model fits very well to recent medium and low fertility cohort schedules in France, Italy, and Japan. A distinct advantage of the Gompertz model is that it has a simple behavioral interpretation as the result of social diffusion of fertility behavior in a cohort competing with the fertility-depressing effects of older age. The Gompertz model, and further refinements that include a better specification of the biological limits of childbearing, offer a means for forecasting future fertility, describing temporal change, and assessing the fertility-limiting effects of older entry into motherhood. In addition, the Gompertz function allows for traditional uses of model age-schedules such as smoothing and correction of data. The model estimates the completed cohort fertility of French, Japanese, and Italian cohorts born in 1965 to be 2.0 , 1.6, and 1.6, respectively. For France, this represents only a minor decline from earlier cohorts, but for Japan the decline in cohort fertility is marked. The model with infertility suggests that recent decline in Italy is largely due to shifts to older ages of childbearing.

Suggested Citation

  • Joshua R. Goldstein, 2010. "A behavioral Gompertz model for cohort fertility schedules in low and moderate fertility populations," MPIDR Working Papers WP-2010-021, Max Planck Institute for Demographic Research, Rostock, Germany.
    • Handle: RePEc:dem:wpaper:wp-2010-021
    DOI: 10.4054/MPIDR-WP-2010-021
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    References listed on IDEAS

    as
    1. Hans-Peter Kohler & José Antonio Ortega, 2002. "Tempo-Adjusted Period Parity Progression Measures, Fertility Postponement and Completed Cohort Fertility," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 6(6), pages 91-144.
    2. Edmund Murphy & Dhruva Nagnur, 1972. "A Gompertz fit that fits: Applications to canadian fertility patterns," Demography, Springer;Population Association of America (PAA), vol. 9(1), pages 35-50, February.
    3. Kohler, Hans-Peter, 2001. "Fertility and Social Interaction: An Economic Perspective," OUP Catalogue, Oxford University Press, number 9780199244591.
    4. Paraskevi Peristera & Anastasia Kostaki, 2007. "Modeling fertility in modern populations," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 16(6), pages 141-194.
    5. Hans-Peter Kohler & José Antonio Ortega, 2002. "Tempo-Adjusted Period Parity Progression Measures:," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 6(7), pages 145-190.
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    Cited by:

    1. Mikko Myrskylä & Joshua Goldstein, 2013. "Probabilistic Forecasting Using Stochastic Diffusion Models, With Applications to Cohort Processes of Marriage and Fertility," Demography, Springer;Population Association of America (PAA), vol. 50(1), pages 237-260, February.
    2. Arindam Gupta & Samba Siva Rao Pasupuleti, 2013. "A new behavioural model for fertility schedules," Journal of Applied Statistics, Taylor & Francis Journals, vol. 40(9), pages 1921-1930, September.

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    JEL classification:

    • J1 - Labor and Demographic Economics - - Demographic Economics
    • Z0 - Other Special Topics - - General

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