Hostname: page-component-cd9895bd7-hc48f Total loading time: 0 Render date: 2024-12-23T08:49:37.378Z Has data issue: false hasContentIssue false

Forecasting U.K. Population Mortality Allowing for Age, Period and Cohort Effects

Published online by Cambridge University Press:  10 June 2011

D. O. Forfar
Affiliation:
C. Math., Consulting Actuary, 24 Kinellan Road, Edinburgh EH12 6ES, U.K. E-mail: [email protected]

Abstract

The mortality data (registered deaths and population size) over the years 1961–2007 for the population of England and Wales and for Scotland were obtained from the Office for National Statistics (ONS) and from the Scottish Registrar General. This paper addresses the following questions:

(i) Is there statistical evidence for a cohort effect (i.e. a generation effect separate from the period effect) being present in the data?

(ii) Do both males and females exhibit similar cohort (generation) effects?

(iii) Are period effects (i.e. the improvement in mortality with time) more significant than cohort effects?

(iv) How should one allow, in forecasts of population mortality, for age, period and cohort effects?

(v) Is it sensible to combine male and female mortality experience to determine the period effect and the cohort effect?

(vi) How do the forecasts for the expectation of life at birth, using the Extended-Lee–Carter-Combined (ELCC) model (described in the paper) differ from the (2008 based) Office of National Statistics (ONS) forecasts of the expectation of life at birth?

Type
Sessional meetings: papers and abstracts of discussions
Copyright
Copyright © Institute and Faculty of Actuaries 2009

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Booth, H. & Tickle, L. (2008). Mortality modelling and forecasting: a review of methods, Annals of Actuarial Science, 3, 343.CrossRefGoogle Scholar
Brennan, M. (2008). Mortality projection using extended Lee^Carter to allow for the cohort effect, 2008 MSc Dissertation, Heriot-Watt, University, Edinburgh.Google Scholar
Brouhns, N., Denuit, M. & Vermunt, J.K. (2002). A Poisson log-bilinear regression approach to the construction of projected mortality tables, Insurance Mathematics and Economics, 31, 373393.CrossRefGoogle Scholar
Currie, I.D., Durban, M. & Eilers, P.H.C. (2004). Smoothing and forecasting mortality rates, Statistical Modelling, 4, 278298.CrossRefGoogle Scholar
Emmanuel, A. (2008). Mortality projection using extended Lee^Carter to allow for the cohort effect. 2008 MSc Dissertation, Heriot-Watt, University, EdinburghGoogle Scholar
Haberman, S. & Renshaw, A.E. (2006). A cohort-based extension to the Lee—Carter model for mortality reduction factors, Mathematics and Economics, 38, 556570.Google Scholar
Lee, R.D. (2000). The Lee—Carter method for forecasting mortality with various extensions and applications, North American Actuarial Journal, 4, 8093.CrossRefGoogle Scholar
Lee, R.D. & Carter, R.C. (1992). Modelling and forecasting U.S. Mortality, Journal of the American Statistical Association, 87, 659671.Google Scholar
Oeppen, J. & Vaupel, J.W. (2002). Broken limits to life expectancy, Science, 296, 10291031.CrossRefGoogle ScholarPubMed
Sen, R. (2008). Mortality projection using extended Lee–Carter to allow for the cohort effect, 2008 MSc Dissertation, Heriot-Watt, University, Edinburgh.Google Scholar
Shetty, N. (2008). Mortality projection using extended Lee–Carter to allow for the cohort effect, 2008 MSc Dissertation, Heriot-Watt, University, Edinburgh.Google Scholar