Constructing increment-decrement life tables

A life table model which can recognize increments (or entrants) as well as decrements has proven to be of considerable value in the analysis of marital status patterns, labor force participation patterns, and other areas of substantive interest. Nonetheless, relatively little work has been done on the methodology of increment-decrement (or combined) life tables. The present paper reviews the general, recursive solution of Schoen and Nelson (1974), develops explicit solutions for three cases of particular interest, and compares alternative approaches to the construction of increment-decrement tables.     

Work and Retirement Among a Cohort of Older Men in the United States, 1966–1983

Multivariate increment-decrement working life tables are estimated for a cohort of older men in the United States for the period 1966-1983. The approach taken allows multiple processes to be simultaneously incorporated into a single model, resulting in a more realistic portrayal of a cohort's late-life labor force behavior. In addition, because the life table model is developed from multivariate hazard equations, we identify the effects of sociodemographic characteristics on the potentially complex process by which the labor force career is ended. In contrast to the assumed homogeneity of previous working life table analyses, the present study shows marked differences in labor force mobility and working and nonworking life expectancy according to occupation, class of worker, education, race, and marital status. We briefly discuss the implications of these findings for inequities of access to retirement, private and public pension consumption, and future changes in the retirement process.     

Voting status life tables for the United States, 1968–1980

Using current and retrospective voting data from the November Current Population Surveys of Presidential election years, this study modifies and applies demographic accounting and increment-decrement life table methods to construct voting status life tables for three recent election periods. The paper shows how to combine a continuously occurring process (mortality) with a process that is active only at discrete times (voting transitions) within a multistate life table. Empirical results pertain to the number of Presidential elections an individual is expected to vote in at ages 0 and 18, the typical life course pattern of transitions between voting and not voting statuses, sex and race differentials, changes across the three election periods, and cohort effects.     

Active life expectancy estimates for the U.S. elderly population: A multidimensional continuous-mixture model of functional change applied to completed Cohorts, 1982–1996

An increment-decrement stochastic-process life table model that continuously mixes measures of functional change is developed to represent age transitions among highly refined disability states interacting simultaneously with mortality. The model is applied to data from the National Long Term Care Surveys of elderly persons in the years 1982 to 1996 to produce active life expectancy estimates based on completed-cohort life tables. At ages 65 and 85, comparisons with extant period estimates for 1990 show that our active life expectancy estimates are larger for both males and females than are extant period estimates based on coarse disability states.     

Estimating Increment-Decrement Life Tables with Multiple Covariates from Panel Data: The Case of Active Life Expectancy*

A fundamental limitation of current multistate life table methodology-evident in recent estimates of active life expectancy for the elderly-is the inability to estimate tables from data on small longitudinal panels in the presence of multiple covariates (such as sex, race, and socioeconomic status). This paper presents an approach to such an estimation based on an isomorphism between the structure of the stochastic model underlying a conventional specification of the increment-decrement life table and that of Markov panel regression models for simple state spaces. We argue that Markov panel regression procedures can be used to provide smoothed or graduated group-specific estimates of transition probabilities that are more stable across short age intervals than those computed directly from sample data. We then join these estimates with increment-decrement life table methods to compute group-specific total, active, and dependent life expectancy estimates. To illustrate the methods, we describe an empirical application to the estimation of such life expectancies specific to sex, race, and education (years of school completed) for a longitudinal panel of elderly persons. We find that education extends both total life expectancy and active life expectancy. Education thus may serve as a powerful social protective mechanism delaying the onset of health problems at older ages.     

Estimating adult mortality levels from information on widowhood

Summary A range of indirect techniques has been developed for mortality estimation in societies lacking adequate vital registration records. Information on orphanhood has been widely used as an estimator of adult mortality, with generally plausible results. Doubts have remained, however, about potential biases, and the method is less satisfactory for the estimation of male mortality. Information on widowhood, or more strictly the survival of first spouse, has several possible advantages over information on orphanhood. Model first marriage functions and model life tables are used to calculate proportions widowed of first spouse, for both females and males, by marital duration and by age. These proportions widowed are then related to life table survivorship probabilities to provide weighting factors for the conversion of observed proportions widowed into estimates of survivorship probabilities. The application of the method is illustrated with data collected by the 1974 post-enumeration survey of Bangladesh, with apparently encouraging results.     

Quantifying the Dynamics of Chinese Labor Force: A Life Table Approach

Based on the recent three population censuses of China, in this article, we used life table technique to compute the expected years of working life for the Chinese labor force in the primary, secondary and tertiary industries in 1982, 1990 and 2000. We found, after two decades of economic reform, the expected years of working life in the primary industry decreased from 32.04 and 26.74 years for males and females in 1982 to 27.07 and 26.12 years, respectively, in 2000. For the tertiary industry, the expected years of working life increased from 5.70 and 2.94 years for males and females in 1982 to 8.05 and 5.66 years in 2000, respectively. For the secondary industry, there was virtually no change in terms of the expected years of working life.     

Twentieth-century cohort marriage and divorce in England and Wales

Summary Marital status life tables, which follow a real or synthetic birth cohort through life and the marital statuses of 'never married', 'presently married', 'widowed', and 'divorced', reflect observed marriage, divorce and mortality behaviour and provide a detailed record of a cohort's experience. The present paper analyses such tables for cohorts of men and women born in England and Wales between 1900 and 1945. The results show that the later cohorts deviate substantially from the 'European pattern' of late marriage and high proportions never marrying, and that a dramatic rise in divorce has taken place, so that among the later cohorts one marriage out of four ends in divorce.     

劳动力研究的投入产出技术

本文主要讨论了利用投入—劳动力占用—产出技术进行劳动力研究的方法 ,从研究现状和数据可得性角度分析了编制投入—劳动力占用—产出表的可行性 ,提出了具体的编表方法及对劳动力的分类方法。文章讨论的重点在于利用投入—劳动力占用—产出技术进行经济分析的方法 ,主要包括分析劳动力结构 ,分析生产对就业的拉动作用 ,从投入—劳动力占用—产出表导出活劳动投入产出表和完全劳动投入产出表等     

On the human survivorship function and life table construction

The construction of life tables is often marred by one or more of the following restrictions: (1) assumptions that are either unjustifiable or of questionable generality; (2) rough approximations; (3) exacting data requirements. This paper recommends instead a simple method which regards the force of mortality as constant within each age interval. The reasoning is readily comprehensible and all life table functions are easily calculated from the age-specific death rates without any need for further assumptions, approximations, or data. Furthermore, this method produces numerical results that are close to those obtained by other methods.     

Multistate Transfer Rate Estimation from Adjacent Populations

In multistate populations, the rates of interstate transfer cannot generally be determined from the size and composition of the populations at the beginning and end of a time interval. With N living states, the population data give only N equations to determine the N ² possible rates. Here, the QERT (quadratic estimation of rates of transfer) approach is advanced that allows the transfer rates to be estimated when the products of selected pairs of rates can be assumed constant. The solution can be written in closed form and, for N living states, involves no more than N?1 quadratic equations. Compared to the leading alternative approaches, QERT provides very similar numerical estimates, while yielding the underlying behavioral rates, having flexible input requirements, accommodating all structural zeros, and reproducing the exact solution when interstate transfers are strictly hierarchical. The QERT approach is applied to construct labor force life tables for U.S. men and women for 2005–2010. The results show that labor force participation differences between men and women have continued to narrow, and that the QERT approach can generate robust worklife estimates. QERT thus provides new opportunities for demographic analysis in the absence of direct data on behavioral rates.     

Sex differences in remarriage and spouse selection

This paper explores on an international basis the incidence of remarriage among total marriages, the levels and differences in remarriage rates among widowed and divorced males and females, and differences between males and females in spouse selection according to the previous marital statuses of spouse and bride or groom. Remarriage rates by sex and previous marital status are estimated using vital registration data in combination with census information; there are 47 countries that have such data. The results of the analyses indicate that there are a number of general patterns of remarriage and spouse selection that tend to hold across countries.     

Estimating internal migration from incomplete data using model multiregional life tables

A principal feature of current methods of estimating demographic measures from incomplete data is the use of model life tables that approximate the mortality of a region for which reliable mortality data are unavailable. Observed decennial rates of survivorship may be used to identify out of a set of such model life tables one that best matches the observed data. This paper introduces the concept of a modelmultiregional life table and outlines a procedure for selecting an appropriate one using place-of-birth-by-residence data.     

International migration and labor force participation of married women

A focal issue in international immigration research has been immigration adaptation and assimilation and especially absorption and integration of immigrants into labor force roles. Nevertheless, such research has largely been focused on immigrant men, neglecting the systematic examination of labor force participation among immigrant women. This research is focused on the correlates of economic activity among immigrant and native born Jewish, urban, married females aged 18–54 in Israel. The specific objectives of the investigation are: (1) the impact of education, socioeconomic status, familial child care burdens, and ethnic background on the economic activity of native-born and immigrant, married women; and (2) to evaluate the extent to which the above patterns vary by veterancy and age. The data for this analysis are drawn from Israel's quarterly labor force survey of 6,000 families for 1970 and 1971. Education, socioeconomic status, ethnic origin, and child care burden were all found to have some effect on women's labor force participation; however, the pattern of effect was different for younger and older women and varied by veterancy status. Indications can be found in the data that age at immigration, or in other words the point in the women's life cycle at which immigration occurs, makes a difference in the type and strength of effect of immigration on labor force participation.Requests for reprints should be directed to Moshe Hartman, Department of Sociology, Population Research Laboratory, Utah State University, Logan, Utah 84322.     

[Method of forming a multiple attrition life table and its application to the study of nuptiality among women in China].]

Trends in marital status among women in China for the period 1950-1970 and for 1981 are analyzed using the multiple decrement life table method. The results confirm those obtained with traditional methods of data analysis. It is found that over the past 30 years, Chinese women have experienced a high rate of marriage and a low divorce rate. The significant increase in age at marriage and the lowering of the death rate have affected marital status at all ages. The development of a marital status life table permits the author to estimate current numbers of women in the four marital statuses of unmarried, currently married, widowed, and divorced by age and their future likelihood of changing marital status.     

The multistate life table with duration-dependence

"A method for generalizing the multistate, or increment-decrement, life table to include rates which depend upon duration of exposure to risk, as well as upon age, is proposed. The method is built upon the linear approximation, called the linear integration hypothesis, developed mainly by Rogers and his colleagues....It is possible to derive several new summary indices of the life-table cohort's history, such as the mean and median time in current status, at any age. The method is illustrated using a simple four-state marital-status model which has appeared often in the literature; here, rates of divorce and widowhood vary by duration of marriage as well as age." An example is demonstrated using 1984 period data for women in Finland aged 15-50. (SUMMARY IN FRE)     

The current differential in black and white life expectancy

The 1980 National Center for Health Statistics life tables for the U.S. black and white populations reveal a difference in life expectancy of 7 years between black and white males and 6 years between black and white females. Using cause-substituted life tables, we show that a number of causes of death contribute to the difference. The largest contributors are cardiovascular disease for both sexes and homicide and cancer for males.     

Job loss and family adjustments in work and schooling during the Mexican peso crisis

We use individual data from a panel of families during the depth of the peso crisis in Mexico to investigate whether the transition of the male household head from employment into unemployment affects the labor force participation of his spouse and children. We find that significant added-worker effects are in operation especially for adult females (wives), but no evidence that the labor force participation, the school attendance, and the likelihood of advancing to the next school grade of teenage males are influenced by the event of unemployment of the household head. The head's unemployment is significantly associated with a higher probability that teenage females do not attend school. However, lower attendance does not appear to impede their advancement to the next grade.

儿童照料、劳动参与和中国已婚男女身心健康——基于城镇居民和外来务工人员的对比研究

本研究采用2008年国家统计局针对城镇居民和外来务工人员进行的调查数据，研究劳动参与、儿童照料双重责任对于城镇和移民已婚男女身心健康的影响。研究结果表明：在承担工作和儿童照料双重责任过程中城镇已婚男女几乎不存在性别差异，只工作就会增加其精神压力，工作、并且家中有7—12岁儿童对女性精神压力的边际影响最大，而男性则是工作、并且家中有0-6岁儿童对其影响最大：外来务工人员在承担工作和儿童照料双重责任过程中仍存在引人注目的性别差异，妇女仍然是儿童照料责任的主承担者，参与市场劳动并未减少其家庭责任。     

A Gompertz model for birth interval analysis

During recent years birth intervals have been analysed on a life table basis. This method retains both closed and open intervals, and so reflects behaviour that deliberately avoids the next birth entirely. When life tables are prepared separately for each birth order, markedly different patterns of movement toward the next birth can appear from one parity to the next. This is illustrated for Korean survey data, with historical trends given across marriage cohorts.

A Gompertz model is found to fit the family of curves that show the cumulative proportion giving birth within each interval closely. Its three parameters have direct intuitive interpretations, one being equal to the parity progression ratio and the other two controlling the pace of childbearing before and after the point of peak activity within the interval. The model is useful for interpolation and projection, and provides an efficient summary of the otherwise cumbersome detail given in a life table. Testing against additional data sets is suggested.