Journal of Population Ageing

, Volume 1, Issue 2–4, pp 153–191 | Cite as

Individualised Life Tables

Investigating Dynamics of Health, Work and Cohabitation in the UK
  • Martin KarlssonEmail author
  • Les Mayhew
  • Ben Rickayzen


A life table is a table which shows, at each age, the probability that a person in a given population will die before their next birthday. It can be used to calculate life expectancy and healthy life expectancy for people of different ages. In this work, using longitudinal datasets and panel data methods, we produce life tables for different subgroups of the population, defined according to cohabitation status, employment and other factors. As a first step, we estimate the dynamics of factors which are of particular importance in people’s lives: health, labour market participation, cohabitation and mortality. The significance of these variables is twofold: they determine the well-being of individuals, but the variables also determine the resources available to the individuals in times of ill health. Using the British Household Panel Survey, we analyse the extent to which these variables are influenced by one another, and by exogenous factors such as education and ethnicity. Estimating a system of probit models using simulation techniques, we are able to distinguish the effects of the exogenous and endogenous variables from state dependence and unobserved heterogeneity. We also correct for attrition and the initial conditions problem. We estimate time trends in mortality, health and other dependent variables to investigate whether a compression of morbidity has occurred in the recent past. Finally, the parameter estimates are used to simulate life tables for various sub-groups in the population and compare measures of life expectancy and healthy life expectancy for different groups.


Disability Cohabitation Mortality Labour supply Maximum simulated likelihood Attrition 


  1. Alder, J., Mayhew, L., Moody, S., Morris, R., & Shah, R. (2005). The chronic disease burden – An analysis of health risks and health care usage. Cass Business School, Faculty of Actuarial Science, 56 pp.Google Scholar
  2. Bajekal, M. (2002). Care homes and their residents. London: The Stationery Office.Google Scholar
  3. Bebbington, A. C., & Darton, R. A. (1996). Healthy life expectancy in England and Wales: Recent evidence. PSSRU Discussion Paper 1205.Google Scholar
  4. Bebbington, A., & Comas-Herrera, A. (2000). Healthy life expectancy: Trends to 1998, and the implications for long term care costs. PSSRU Discussion Paper 1695 (London School of Economics).Google Scholar
  5. Blake, D. P., & Mayhew, L. D. (2006). On the sustainability of the UK State pension system in the light of population ageing and declining fertility. Economic Journal, 116(512), F286–F305.CrossRefGoogle Scholar
  6. Bone, M., Bebbington, A. C., Jagger, C., Morgan, K., & Nicolaas, G. (1995). Health expectancy and its uses. London: HMSO.Google Scholar
  7. Börsch-Supan, A., & Hajivassiliou, V. A. (1993). Smooth unbiased multivariate probability simulators for maximum likelihood estimation of limited dependent variables models. Journal of Econometrics, 58, 347–68.CrossRefGoogle Scholar
  8. Bound, J., Schoenbaum, M., Stinebrickner, T. R., & Waidmann, T. (1999). The dynamic effects of health on the labor force transitions of older workers. Labour Economics, 6(2), 179–202.CrossRefGoogle Scholar
  9. Brown, S. L. (2000). The effect of union type on psychological wellbeing: Depression cohabitants versus marrieds. Journal of Health and Social Behaviour, 41, 241–255.CrossRefGoogle Scholar
  10. Butt, Z., Haberman, S., Verrall, R., & Wass, V. (2008). Calculating compensation for loss of future earnings: estimating and using work life expectancy. Journal of the Royal Statistical Society. Series A, 171(4), 1–37.Google Scholar
  11. Cheung, Y. B. (2000). Marital status and mortality in British women: A longitudinal study. International Journal of Epidemiology, 29, 93–99.CrossRefGoogle Scholar
  12. Disney, R., Emmerson, C., & Wakefield, M. (2006). Ill health and retirement in Britain: A panel data-based analysis. Journal of Health Economics, 25, 621–649.CrossRefGoogle Scholar
  13. Domeij, D., & Johannesson, M. (2006). Consumption and health. Contributions to Macroeconomics, 6(1), 1314–1314.Google Scholar
  14. French, E. (2005). The effects of health, wealth, and wages on labour supply and retirement behaviour. Review of Economic Studies, 72, 397–427.CrossRefGoogle Scholar
  15. Fries, J. (1980). Aging, natural death and the compression of morbidity. New England Journal of Medicine, 303, 130–5.CrossRefGoogle Scholar
  16. Fuchs, V. R. (2004). Reflections on the socio-economic correlates of health. Journal of Health Economics, 23(4), 629–36.CrossRefGoogle Scholar
  17. Geweke, J. (1989). Efficient simulation from the multivariate normal distribution subject to linear inequality constraints and the evaluation of constraint probabilities. Duke University, Durham, N.C: Mimeo.Google Scholar
  18. Goldman, N., Korenman, S., & Weinstein, R. (1995). Marital status and health among the elderly. Social Science and Medicine, 40, 1717–1730.CrossRefGoogle Scholar
  19. Government Actuary’s Department (2006). Period and cohort expectation of life tables. 2006-based projections; dataset available at
  20. Gruenberg, E. M. (1977). The failures of success. Milbank Memorial Foundation Quarterly/Health and Society, 55, 3–24.CrossRefGoogle Scholar
  21. Heckman, J. J. (1981). The incidentical parameters problem and the problem of initial conditions in estimating a discrete-time data stochastic process. In C. F. Manski, & D. McFadden (Eds.), Structural analysis of discrete data with econometric applications (Chapter 4, pp. 179–95). Cambridge: MIT.Google Scholar
  22. Heyma, A. (2004). A structural dynamic analysis of retirement behavior in the Netherlands. Journal of Applied Econometrics, 19(6), 739–759.CrossRefGoogle Scholar
  23. Karlsson, M., Mayhew, L., & Rickayzen, B. (2007). Long term care financing in 4 OECD countries: Fiscal burden and distributive effects. Health Policy, 80, 107–34.CrossRefGoogle Scholar
  24. Karlsson M., Mayhew, L., Plumb, R., & Rickayzen, B. (2006). Future costs for long-term care. Cost projections for long-term care for older people in the United Kingdom. Health Policy, 75, 187–213.CrossRefGoogle Scholar
  25. Lillard, L. A., & Panis, C. W. A. (1996). Marital status and mortality: The role of health. Demography, 33, 313–327.CrossRefGoogle Scholar
  26. Manton, K. G. (1987). Response to an introduction to the compression of morbidity. Gerontologica Perspecta, 1, 23–30.Google Scholar
  27. Mayhew, L. (2002). The neighbourhood health economy: A systematic approach to health and social risks at neighbourhood level. Actuarial Research paper No. 144, Cass Business School.Google Scholar
  28. United Nations, Population Division of the Department of Economic and Social Affairs (2006). World population prospects: The 2006 revision.Google Scholar
  29. Wilde, J. (2000). Identification of multiple equation probit models with endogenous dummy regressors. Economics Letters, 69(1), 309–12.CrossRefGoogle Scholar
  30. Wilson, C. M., & Oswald, A. J. (2005). How does marriage affect physical and psychological health? A survey of the longitudinal evidence. IZA Discussion Paper No 1619.Google Scholar
  31. Wong, L. (2003). Structural estimation of marriage models. Journal of Labor Economics, 21(3), 699–727.CrossRefGoogle Scholar
  32. Wooldridge, J. (2000). The initial conditions problem in dynamic nonlinear panel data models with unobserved heterogeneity. Mimeo, University of Michigan.Google Scholar
  33. Wooldridge, J. M. (2002). Econometric analysis of cross-section and panel data. Cambridge: MIT.Google Scholar

Copyright information

© Springer Science+Business Media B.V. 2009

Authors and Affiliations

  1. 1.Oxford Institute of AgeingOxfordUK
  2. 2.Cass Business SchoolLondonUK

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