Abstract

This paper proposes a multi-population approach to forecasting mortality rates for the less developed countries in a coherent way. The majority of these countries have witnessed faster mortality declines among the young and the working age population, whereas in developed countries, the mortality declined more heavily among the elders over the same period. We argue that the long-term mortality forecasts of a less developed country based solely on its historical mortality pattern might be implausible. As an alternative, we propose to incorporate the mortality data of a group of more developed countries as the benchmark to improve the forecasts for a less developed country. With the long-term coherence in mind, we propose to let a less developed country's age-specific mortality improvement rates to gradually converge to the benchmark values estimated from a group of more developed countries during the projection phase. Moreover, we employ a data-driven and threshold hitting approach to control the speed of this convergence. Empirical applications to China, Brazil, and Nigeria provide more reasonable long-term mortality forecasts than the existing forecasting practice.

Highlights

  • We find that the single logistic function is optimal for China, whereas the double logistic function is more suitable for Brazil and Nigeria

  • For Nigeria, the observed life expectancy gap has a jump around e0 = 50, which results from the stagnation of its life expectancy at birth in the 1990s

  • This paper has proposed a mortality rotation approach for the coherent forecasting of age-specific mortality rates in the less developed countries

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Summary

Introduction

Publisher’s Note: MDPI stays neutral with regard to jurisdictional claims in published maps and institutional affiliations. The Li and Lee (2005) model is a popular approach when accounting for the future changes in mortality patterns and generating coherent mortality projections for multiple countries; that is, the projections of age-specific mortality rates will not diverge among different countries in the long term. In this model, a set of common age and period effects are first estimated using the mortality data of a group of more developed countries.

The Mortality Models
The Rotation Algorithm
Rotating the Age and Period Effects for Mortality Projections
Determining the Weight Parameter
Empirical Analysis
Mortality Data
Empirical Results
Brazil
Nigeria
Conclusions

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