Abstract

This paper proposes a coherent multi-population approach to mortality forecasting for less developed countries. The majority of these countries have witnessed faster mortality declines among the young and the working age populations during the past few decades, whereas in the more developed countries, the contemporary mortality declines have been more substantial among the elders. Along with the socioeconomic developments, the mortality patterns of the less developed countries may become closer to those of the more developed countries. As a consequence, forecasting the long-term mortality of a less developed country by simply extrapolating its historical patterns might lead to implausible results. As an alternative, this paper proposes to incorporate the mortality patterns of a group of more developed countries as the benchmark to improve the forecast for a less developed one. With long-term, between-country coherence in mind, we allow the less developed country’s age-specific mortality improvement rates to gradually converge with those of the benchmark countries during the projection phase. Further, we employ a data-driven, threshold hitting approach to control the speed of this convergence. Our method is applied to China, Brazil, and Nigeria. We conclude that taking into account the gradual convergence of mortality patterns can lead to more reasonable long-term forecasts for less developed countries.

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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