Forecasting Mortality: A Parameterized Time Series Approach

This article links parameterized model mortality schedules with time series methods to develop forecasts of U.S. mortality to the year 2000. The use of model mortality schedules permits a relatively concise representation of the history of mortality by age and sex from 1900 to 1985, and the use of modern time series methods to extend this history forward to the end of this century allows for a flexible modeling of trend and the accommodation of changes in long-run mortality patterns. This pilot study demonstrates that the proposed procedure produces medium-range forecasts of mortality that meet the standard tests of accuracy in forecast evaluation and that are sensible when evaluated against the comparable forecasts produced by the Social Security Administration.

[1]  Nathan Keyfitz,et al.  Choice of function for mortality analysis: Effective forecasting depends on a minimum parameter representation , 1982 .

[2]  J. F. Long,et al.  Multivariate time series projections of parameterized age-specific fertility rates. , 1989, Journal of the American Statistical Association.

[3]  M A Stoto,et al.  Dealing with uncertainty: statistics for an aging population. , 1988, The American statistician.

[4]  Wade Ah,et al.  Social Security area population projections: 1987. , 1988 .

[5]  George E. P. Box,et al.  Time Series Analysis: Forecasting and Control , 1977 .

[6]  T. N. Thiele On a Mathematical Formula to express the Rate of Mortality throughout the whole of Life, tested by a Series of Observations made use of by the Danish Life Insurance Company of 1871 , 1871 .

[7]  Robert McNown,et al.  On the uses of econometric models: A guide for policy makers , 1986 .

[8]  B. Efron,et al.  A Leisurely Look at the Bootstrap, the Jackknife, and , 1983 .

[9]  B. Benjamin,et al.  Biological Aspects of Demography. , 1971 .

[10]  João Saboia Autoregressive Integrated Moving Average (ARIMA) Models for Birth Forecasting , 1977 .

[11]  G. C. Tiao,et al.  Modeling Multiple Time Series with Applications , 1981 .

[12]  G. Box,et al.  On a measure of lack of fit in time series models , 1978 .

[13]  J. F. Long,et al.  U.S. national population projections methods: A view from four forecasting traditions , 1984 .

[14]  A. Zellner,et al.  Time series analysis and simultaneous equation econometric models , 1974 .

[15]  Lawrence R. Carter,et al.  Joint Forecasts of U.S. Marital Fertility, Nuptiality, Births, and Marriages Using Time Series Models , 1986 .

[16]  J Macdonald,et al.  Modeling demographic relationships: an analysis of forecast functions for Australian births. , 1981, Journal of the American Statistical Association.

[17]  Eileen M. Crimmins,et al.  The changing pattern of American mortality decline 1940-1977 and its implications for the future. , 1981 .

[18]  C. B. Tilanus,et al.  Applied Economic Forecasting , 1966 .

[19]  S. Olshansky,et al.  On forecasting mortality , 1988 .

[20]  Andrei Rogers,et al.  MODEL: a general program for estimating parametrized model schedules of fertility mortality migration and marital and labor force status transitions. , 1983 .

[21]  Ansley J. Coale,et al.  Regional Model Life Tables and Stable Populations , 1967 .

[22]  K C Land,et al.  Methods for national population forecasts: a review. , 1986, Journal of the American Statistical Association.

[23]  John McDonald,et al.  Modeling Demographic Relationships: An Analysis of Forecast Functions for Australian Births , 1981 .

[24]  Andrei Rogers,et al.  Model migration schedules , 1981 .

[25]  John McDonald,et al.  A time series approach to forecasting Australian total live-births , 1979, Demography.

[26]  T. Trussell,et al.  Model fertility schedules: variations in the age structure of childbearing in human populations. , 1974, Population index.

[27]  R. L. Henshel,et al.  Forecasting: An Appraisal for Policy-Makers and Planners. , 1978 .

[28]  Basia Zaba,et al.  The four-parameter logit life table system. , 1979, Population studies.

[29]  Kenneth C. Land,et al.  A macrodynamic analysis of changes in mortality indexes in the United States, 1946–75: Some preliminary results , 1980 .

[30]  Gwilym M. Jenkins,et al.  Time series analysis, forecasting and control , 1971 .

[31]  Robert McNown,et al.  New Evidence on Targets for Monetary Policy , 1987 .

[32]  W Siler,et al.  Parameters of mortality in human populations with widely varying life spans. , 2007, Statistics in medicine.

[33]  João Saboia,et al.  Modeling and forecasting populations by time series: The Swedish case , 1974, Demography.

[34]  R. Lee,et al.  Forecasting births in post-transition population: stochastic renewal with serially correlated fertility. , 1974, Journal of the American Statistical Association.

[35]  Vicente B. Paqueo,et al.  On the theory and measurement of the determinants of mortality , 2010, Demography.

[36]  D. Mcneil,et al.  The distribution by age of the frequency of first marriage in a female cohort. , 1972, Journal of the American Statistical Association.

[37]  D. Freedman,et al.  Using the bootstrap to evaluate forecasting equations , 1985 .

[38]  John L. Kling,et al.  A comparison of multivariate forecasting procedures for economic time series , 1985 .

[39]  J. H. Pollard,et al.  The age pattern of mortality , 1979 .

[40]  Richard A. Easterlin,et al.  Birth And Fortune , 1980 .

[41]  A Rogers,et al.  Parameterized multistate population dynamics and projections. , 1986, Journal of the American Statistical Association.

[42]  C. Sims MACROECONOMICS AND REALITY , 1977 .

[43]  C. Sims Policy Analysis with Econometric Models , 1982 .