Abstract
This paper discusses twostochastic time-series models developed recently for projecting age-specific fertility rates: the CARIMA model and the APC-ARIMA model. The forecasting performance of both models is examined using Dutch data. Alternatively, adeterministic time-series model is presented in which the age pattern of changes in the age-specific fertility rates between successive years is described by a cubic spline function. The model is capable of describing widely varying patterns. The model is applied to age-specific fertility rates for four countries: the Netherlands, England and Wales, Sweden and Australia.
Résumé
Cet article traite de deux modèles stochastiques qui utilisent des séries chronologiques: le modèle CARIMA et le modèle APC-ARIMA qui ont été développés récemment pour projeter les taux de fécondité par âge. La qualité des projections réalisées avec ces deux modèles est testée sur des données hollandaises. Simultanément, un modèle déterministe est présenté dans lequel les changements des taux de fécondité par âge entre années successives sont décrits par une fonction du troisième degré. Ce modèle est capable de décrire des situations qui varient dans un très large domaine. Il est appliqué aux taux de fécondité par âge de quatre pays: la Hollande, l'Angleterre et le Pays de Galles, la Suède et l'Australie.
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de Beer, J. Projecting age-specific fertility rates by using time-series methods. Eur J Population 5, 315–346 (1989). https://doi.org/10.1007/BF01796791
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DOI: https://doi.org/10.1007/BF01796791