Life tables

Statistical Office of the Republic of Serbia

Unit for calculation population estimates, projections and other demographic indicators

Dragana Paunovic Radulovic

Statistician methodologist

5 Milana Rakića, Belgrade

dragana.paunovic-radulovic@stat.gov.rs

+381 11 2412922 ext. 264

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Life tables are the basic demographic tool for analyzing population mortality and they present a tabular overview of mortality by age and sex. Starting with probability of dying, as the main demographic indicator in life tables, all other biometric functions are also calculated: probability of survival, number of lives, mean lifetime or life expectancy at birth, etc.

According to data source and methodology of calculation, there are two types of tables: detailed or complete life tables by specific age, constructed on the basis of population census data and vital statistics data in the years around the census and abridged approximate life tables by five-year age groups, produced annually, on the basis of estimated population number and vital statistics data for the referent year.

ulation on the Nomenclature of Statistical Territorial Units ("Official Gazette of RS", No.109/09 and 46/10).

Demography

Life tables show a systematic and comprehensive picture of mortality and are the best way to present statistically the relationships between mortality, age and sex.

Abridged or approximate life tables by five-year age groups (n = 5) are calculated every year, based on population estimates and vital statistics data for that year.

The probability of dying is the basic demographic indicator in life tables, based on which all other biometric functions (number of lives, mean lifetime or life expectancy, etc.) are derived.

Definitions of the basic indicators:

- Age x = 0, 1-4, 5-9, ..., 85 and over; 
- Mortality rates by age (_nm_x) show the number of deaths per 1000 inhabitants, by age groups;

- The probability of dying (_nq_x) is the probability that a person of x years of age will die before reaching the age of x + n years;

- Number of persons alive of x years of age (l_x) shows how many people out of 100000 inhabitants born at the same time will stay alive after x years (x = 0, 1, 5, 10, ..., 85 and over);
- Mean number of persons alive (_nL_x) shows the number of persons in a particular age group.
- Sum of mean numbers of persons alive (Т_x) shows the total number of persons alive of all following age groups.
- Life expectancy (е_x) shows how long a person of a certain age (0, 1, 5,...,85 and over) is expected to live, on average, if in terms of mortality the conditions are the same as they were at the time of calculating the tables.

Detailed life tables by single years of age and sex, for the period 2010-2012, were calculated based on the results of the Census of Population, Households and Dwellings of  September 30, 2011 and results of population natural increase statistics for the years 2010, 2011 and 2012, and those are:

1         The number of people by calendar year of birth and from the Census of September 30, 2011;

2         The number of live births, by sex, in 2010 and 2011, from the statistical survey on births;

3         The number of deaths, by calendar year of birth and sex, as follows: number of deaths after birthday in 2010, number of deaths before and after birthday, before and after the Population Census in 2011 and number of deaths before and after birthday in 2012, from the statistical survey on deaths.

Definition of the basic indicators:

-          Age x = 0, ..., 100 years of age;

-          The probability of dying (q_x) is the probability that a person aged x years will die before reaching the age of x + 1 years;

-          The probability of survival (p_x) is the probability that a person aged x years will live to x+1 years of age;

-          Number of persons alive of x years of age (l_x) shows how one closed population of inhabitants born at the same time, which initial number of persons is l₀ =100000, is successively reduced depending on the values p_x and q_x;

-          Number of deaths (d_x) shows how many persons out of the number of persons alive (l_x) at a certain year of age x, will die before reaching the age of x+1 year;

-          Sum of the numbers of person alive (N_x) is the number used to calculate the life expectancy (е_x) and it represents fictive sums of persons, from the set of 100000 persons alive born at the same time, who lived to 0 year of age, i.e. 1, 2,...,100 years of age;

-          Life expectancy (е_x) represents, on average, how many years a person aged exactly x years will live, in terms of the same mortality conditions as they were at the time of calculating the tables. Life expectancy at birth (е₀) is a particularly important result when calculating detailed life tables, which shows how long the newborn children will live, if the mortality conditions are the same as they were in moment of making the tables.

The statistical unit used is “number”.

The statistical population is the total population.

Data on life expectancy at birth are available at the level of the Republic of Serbia and its regions, as well as areas and municipalities, while the data on bimetric functions are available at the regional level.

Since 1999, the Statistical Office of the Republic of Serbia has no information on the AP Kosovo and Metohija, so they are not included in the coverage of the Republic of Serbia data (total).

Data are available for the period from the year 2011.

Not applicable.

Number

Calendar year

Not applicable.

Data confidentiality is stipulated by:

- Official Statistics Law (Official Gazette of RS, number 104/2009), Articles 44, 45, 46, 47, 48, and 49.

(www.stat.gov.rs/media/2322/zakon_o_statisticie.pdf)

- Rulebook on statistical data protection in the Statistical Office of the Republic of Serbia

(www.stat.gov.rs/media/2343/rulebook-on-statistical-data-protection-in-sors.doc ) 

- Guidelines on measures of data and information protection in the Statistical Office of the Republic of Serbia

(www.stat.gov.rs/media/2341/guidelines-on-measures-of-data-and-information-protection-in-the-sors.doc )

Not applicable.

Calendar of releases is available at SORS website on the 1st day of December every year for the forthcoming year (http://www.stat.gov.rs/en-US/calendar).

Calendar of releases is available at SORS website:

http://www.stat.gov.rs/en-US/calendar

The frequency of publishing the results of “Abridged Life Tables” is ANNUAL while “Complete Life Tables” are published once every ten years for the census year.

Statistical release “Vital Events”

"Demographic Yearbook" (Republic of Serbia)

http://www.stat.gov.rs/en-US/publikacije/?d=14

"Abidged life table"

http://www.stat.gov.rs/en-US/publikacije/publication/?p=11632

"Complete life table"

http://publikacije.stat.gov.rs/G2014/Pdf/G20144010.pdf

http://data.stat.gov.rs/?caller=1805&languageCode=en-US

Not applicable.

Abidged life table

http://www.stat.gov.rs/en-US/publikacije/publication/?p=11632

Complete life tables

http://publikacije.stat.gov.rs/G2014/Pdf/G20144010.pdf

Not applicable.

Not applicable.

Besides its usage in the mortality analysis for demographic purposes, the indicator life expectancy is also applied to produce demographic population projections which are utilized to formulate hypotheses on future mortality trends as well as to calculate various indicators. Data on life expectancy are particularly valuable for actuaries and insurance activities, since they are used as a technical basis to set up life insurance premiums.

On biennial basis (once in two years), by the means of web interview, implemented is the User Satisfaction Survey. The survey results are available at SORS website: http://www.stat.gov.rs/en-US/o-nama/sistem-upravljanja-kvalitetom.

The data are complete.

Not applicable.

Not applicable.

Not applicable.

Data on life expectancy, the most important result of Abridged Life Tables, for the year T-1 are published on June 30 in year T.

In practice, at a five-year frequency, Abridged Life Tables for 5 successive years are published in one unified edition, while Complete Life Tables are produced for census years and are published immediately after publication of the first census books.

The data are published according to the release calendar.

 The data are comparable.

 The data are comparable.

Not applicable.

Not applicable.

Not applicable.

Not applicable.

Detailed or complete life tables by specific age, constructed on the basis of population census data and vital statistics data in the years immediately before or after the census and abridged life tables by five-year age groups, are produced annually, on the basis of estimated population and vital statistics data for the referent year.

Abridged Life Tables – annual data collection

Complete Life Tables – data are collected at ten-year frequency

Not applicable.

Not applicable.

Not applicable.

Not applicable.

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