Lee-Carter mortality forecasting: a multi-country comparison of variants and extensions

We compare the short- to medium-term accuracy of five variants or extensions of the Lee-Carter method for mortality forecasting. These include the original Lee-Carter, the Lee-Miller and Booth-Maindonald-Smith variants, and the more flexible Hyndman-Ullah and De Jong-Tickle extensions. These methods are compared by applying them to sex-specific populations of 10 developed countries using data for 1986-2000 for evaluation. All variants and extensions are more accurate than the original Lee-Carter method for forecasting log death rates, by up to 61%. However, accuracy in log death rates does not necessarily translate into accuracy in life expectancy. There are no significant differences among the five methods in forecast accuracy for life expectancy.

[1]  Paul H. C. Eilers,et al.  Smoothing and forecasting mortality rates , 2004 .

[2]  R. Lee,et al.  Stochastic population forecasts for the United States: beyond high, medium, and low. , 1994, Journal of the American Statistical Association.

[3]  Nan Li,et al.  A universal pattern of mortality decline in the G7 countries , 2000, Nature.

[4]  Steven Haberman,et al.  On the forecasting of mortality reduction factors , 2003 .

[5]  L. Trefethen,et al.  Numerical linear algebra , 1997 .

[6]  Ronald Lee,et al.  Modeling and forecasting U. S. mortality , 1992 .

[7]  Michael A. Salsburg,et al.  Modeling and Forecasting , 2007, Int. CMG Conference.

[8]  Hans Lundström,et al.  Mortality Forecasting and Trend Shifts: an Application of the Lee–Carter Model to Swedish Mortality Data * , 2004 .

[9]  J. Maindonald,et al.  Applying Lee-Carter under conditions of variable mortality decline , 2002, Population studies.

[10]  Nathan Keyfitz.  Experiments in the projection of mortality , 1991 .

[11]  W. Bell,et al.  Using principal components in time series modeling and forecasting of age-specific mortality rates. , 1991 .

[12]  Heather Booth,et al.  Demographic forecasting: 1980 to 2005 in review , 2006 .

[13]  Wolfgang Lutz,et al.  Introduction: How to Deal with Uncertainty in Population Forecasting? , 2004 .

[14]  Nan Li,et al.  Using the Lee–Carter Method to Forecast Mortality for Populations with Limited Data * , 2004 .

[15]  Michel Denuit,et al.  A Poisson log-bilinear regression approach to the construction of projected lifetables , 2002 .

[16]  Steven C. Wheelwright,et al.  Forecasting methods and applications. , 1979 .

[17]  Steven Haberman,et al.  Lee-Carter mortality forecasting: a parallel generalized linear modelling approach for England and Wales mortality projections , 2003 .

[18]  Rob J Hyndman,et al.  A state space framework for automatic forecasting using exponential smoothing methods , 2002 .

[19]  Rob J. Hyndman,et al.  Robust forecasting of mortality and fertility rates: A functional data approach , 2007, Comput. Stat. Data Anal..

[20]  M. Murphy,et al.  The Prospect of Mortality: England and Wales and the United States of America, 1962–1989 , 1995, British Actuarial Journal.

[21]  S. Wood.  Modelling and smoothing parameter estimation with multiple quadratic penalties , 2000 .

[22]  PIET DE JONG,et al.  Extending Lee–Carter Mortality Forecasting , 2006 .

[23]  K. Roeder,et al.  Journal of the American Statistical Association: Comment , 2006 .

[24]  Heather Booth,et al.  Evaluation of the Variants of the Lee-Carter Method of Forecasting Mortality: A Multi-Country Comparison , 2004 .

[25]  V. Kannisto.  Health and Mortality Among Elderly Populations , 1998 .

[26]  Bernard W. Silverman,et al.  Functional Data Analysis , 1997 .

[27]  Alan D. Lopez,et al.  Health and Mortality among Elderly Populations , 1996 .

[28]  Andrew Harvey,et al.  Forecasting, Structural Time Series Models and the Kalman Filter , 1990 .

[29]  TWO-WEEK Loan COpy,et al.  University of California , 1886, The American journal of dental science.

[30]  Steven Haberman,et al.  Lee–Carter mortality forecasting with age-specific enhancement , 2003 .