Chapter 8: Examination of the Model Life Table Series

1973 ◽  
Vol 27 ◽  
pp. 42-47
Author(s):  
Kenneth M. Weiss

The model life tables should be compared to various data to illustrate their applicability. The comparative data should be independent of the populations used in the construction of the tables so that they can serve as controls for the models.Russell (1958) carried out a comprehensive study of human mortality in late ancient and medieval times. The life table material in his work derives from ungraduated and unsmoothed raw data in the Corpus Inscriptionum Latinarum which lists tombstone inscriptions from ancient Roman areas. These data, together with some medieval British life expectancies also from Russell, are summarized in Tables 13 through 15. The mortality and life expectancy values closely approximate in range and pattern the values in our model life table series.

2016 ◽  
Vol 41 (2) ◽  
Author(s):  
Felix Zur Nieden ◽  
Bettina Sommer

The Federal Statistical Office’s 2010/12 general life table is the first to provide results on life expectancy based on census data for reunified Germany. This article therefore examines the question of how the revisions of the population figures from the 2011 census affected the measured life expectancy. To do so, we analysed both the official life tables based on the old intercensal population updates before the census and those based on the population data from the 2011 census. The method used to calculate the census-adjusted 2010/12 general life table was also transferred to separate life tables drawn up for the German and the foreign population. In this way, findings on the so-called “healthy migrant effect” can be discussed, ruling out possible errors in the intercensal population updates. These errors had previously been cited as the main causes for a distinctly longer life expectancy among the foreign population compared with the German population. As expected, a census-based calculation for the total population and for the German population resulted in only minor revisions to the life expectancy figures. The use of the census results does, however, distinctly alter the life expectancy of foreign women and men. An advantage of over 5 years in life expectancy at birth, measured on the basis of the old population data, needs to be revised to about 2.9 years for men and 2.1 years for women based on the 2011 census. The healthy migrant effect therefore cannot be traced back solely to data artefacts from the old intercensal population updates – even with revised data, the foreign population shows marked survival advantages.


PLoS ONE ◽  
2021 ◽  
Vol 16 (11) ◽  
pp. e0259304
Author(s):  
Julio Romero Prieto ◽  
Andrea Verhulst ◽  
Michel Guillot

Background The infant mortality rate (IMR) is a critical indicator of population health, but its measurement is subject to response bias in countries without complete vital registration systems who rely instead on birth histories collected via sample surveys. One of the most salient bias is the fact that child deaths in these birth histories tend to be reported with a large amount of heaping at age 12 months. Because of this issue, analysts and international agencies do not directly use IMR estimates based on surveys such as Demographic and Health Surveys (DHS); they rely instead on mortality models such as model life tables. The use of model life tables in this context, however, is arbitrary, and the extent to which this approach appropriately addresses bias in DHS-based IMR estimates remains unclear. This hinders our ability to monitor IMR levels and trends in low-and middle-income countries. The objective of this study is to evaluate age heaping bias in DHS-based IMR estimates and propose an improved method for adjusting this bias. Methods and findings Our method relies on a recently-developed log-quadratic model that can predict age-specific mortality by detailed age between 0 and 5. The model’s coefficients were derived from a newly constituted database, the Under-5 Mortality Database (U5MD), that represents the mortality experience of countries with high-quality vital registration data. We applied this model to 204 DHS surveys, and compared unadjusted IMR values to IMR values adjusted with the log-quadratic model as well as with the classic model life table approach. Results show that contrary to existing knowledge, age heaping at age 12 months rarely generates a large amount of bias in IMR estimates. In most cases, the unadjusted IMR values were not deviating by more than +/- 5% from the adjusted values. The model life table approach, by contrast, introduced an unwarranted, downward bias in adjusted IMR values. We also found that two regions, Sub-Saharan Africa and South Asia, present age patterns of under-5 mortality that strongly depart from the experience represented in the U5MD. For these countries, neither the existing model life tables nor the log-quadratic model can produce empirically-supported IMR adjustments. Conclusions Age heaping at age 12 months produces a smaller amount of bias in DHS-based IMR estimates than previously thought. If a large amount of age heaping is present in a survey, the log-quadratic model allows users to evaluate, and whenever necessary, adjust IMR estimates in a way that is more informed by the local mortality pattern than existing approaches. Future research should be devoted to understanding why Sub-Saharan African and South Asian countries have such distinct age patterns of under-five mortality.


1988 ◽  
Vol 27 (03) ◽  
pp. 137-141
Author(s):  
M. A. A. Moussa ◽  
M. M. Khogali ◽  
T. N. Sugathan

SummaryLife table methods are employed complementary to standard rates to analyse Kuwaiti mortality data due to infectious diseases. The procedure comprises total mortality, multiple-decrement, cause—elimination and cause—delay life tables. To improve reliability of estimated age-specific death rates, the numerator was based on the three-year average of deaths (1981-83), while the denominator was the mid 1982 population projected from the 1980 and 1985 population censuses. To overcome the difficulty of age heaping, both mortality and census data were graduated using the natural cubic spline approach. Proportional mortality was maximum in intestinal infectious diseases particularly in the rural Jahra Governorate. Infectious diseases caused 29.4 and 37.1% of male and female deaths respectively in infancy and early childhood. The male and female life expectancy at birth were 67 and 72 years, respectively.The multiple-decrement life tables showed that 3,346 men and 2,986 women out of the birth cohort (100,000) will ultimately die from infectious diseases. The average number of years lost due to infectious diseases were 0.75 years in both men and women. Relating this loss to the affected (saved) subpopulation only, large gains in life expectancy occur (22.3 and 25.2 years in men and women respectively).


2021 ◽  
Vol 38 ◽  
pp. 1-23
Author(s):  
Filipe Costa de Souza

Ideally, life expectancy should be a decreasing function of age. When this fact is not observed, this situation is known as the life table paradox. This paper investigated the timing (and health metrics at the time) in which Brazil and its Federation Units (FU) overcame (or are expected to overcome) this paradox. The data were gathered from the Brazilian Institute of Geography and Statistics and contained 3,416 sex-specific abridged life tables, from 2000 to 2060. At national level, females and males overcame the paradox in 2016 and 2018, respectively. However, when the FU were examined separately, much heterogeneity was observed. Through the decomposition analysis of the change over time in the difference between life expectancy at birth and at age one, we found that Brazil and most of its FU are expected to have both changes declining over time and the total change is expected to be decreasing and greater than zero. Nevertheless, for some Northeastern states the total change is expected to pass from a positive to a negative value; and for two Northern states the total change is expected to be neither decreasing nor increasing. In a public planning perspective, we understand that achieving balancing in the life tables is a goal to be pursued, especially because having an imbalanced table means that life expectancy at birth is still strongly influenced by high levels of infant mortality. Therefore, this knowledge could help planners to properly define strategies to accelerate the balancing process and revert unequal scenarios.


Author(s):  
David A. Swanson ◽  
Lucky M. Tedrow

AbstractThis paper discusses known mathematical equalities and inequalities found within life tables and proceeds to identify two new inequalities. The first (theorem 1) is that at any given age x, the sum of mean years lived and mean years remaining exceeds life expectancy at birth when age is greater than zero and less than the maximum lifespan. The second inequality (theorem 2) applies to the entire population and shows that the sum of mean years lived and mean years remaining exceeds life expectancy at birth. Illustrations of the two inequalities are provided as well as a discussion.


2013 ◽  
Vol 11 (1) ◽  
Author(s):  
Yuejen Zhao ◽  
Jo Wright ◽  
Stephen Begg ◽  
Steven Guthridge

BMJ Open ◽  
2011 ◽  
Vol 1 (1) ◽  
pp. e000128-e000128 ◽  
Author(s):  
J. W. Vaupel ◽  
Z. Zhang ◽  
A. A. van Raalte

PLoS ONE ◽  
2018 ◽  
Vol 13 (6) ◽  
pp. e0198485 ◽  
Author(s):  
László Németh ◽  
Trifon I. Missov

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