Abstract

Accurate forecasts of age-specific fertility rates are critical for government policy, planning and decision making. With the availability of the Human Fertility Database (2011), the paper compares the empirical accuracy of the point and interval forecasts, obtained by the approach of Hyndman and Ullah (Comput Stat Data Anal 51(10), 4942–4956, 2007) and its variants for forecasting age-specific fertility rates. The analyses are carried out using the age-specific fertility data of 15 mostly developed countries. Based on the one-step-ahead to 20-step-ahead forecast error measures, the weighted Hyndman-Ullah method provides the most accurate point and interval forecasts for forecasting age-specific fertility rates, among all the methods we investigated.

Highlights

  • Accurate forecasts of age-specific fertility rates are critical for allocation of current and future resources to fertility control programmes and child care services

  • Thanks to the availability of Human Fertility Database (2011), this paper aims to contribute to the demographic literature by providing a forecast accuracy comparison of some functional principal component methods

  • We shall summarize the main points: 1) Model uncertainty should be considered as a criterion for finding the best model

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Summary

Introduction

Accurate forecasts of age-specific fertility rates are critical for allocation of current and future resources to fertility control programmes and child care services. There has been a surge of interest in forecasting fertility rate in recent years, mainly driven by the need for accurate forecasts to inform government policy and planning. Such an interest is reflected by many contributions in the 1st Human Fertility Database Symposium in 2011. When a demographer is asked to forecast age-specific fertility rates, an obvious question is that which method gives the best accuracy of the point and interval forecasts. Thanks to the availability of Human Fertility Database (2011), this paper aims to contribute to the demographic literature by providing a forecast accuracy comparison of some functional principal component methods. We reveal the methods that produce the most accurate point and interval forecasts for the age-specific fertility rates

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