Life Tables for the Districts of the CR 2001 - 2005

Methodology

Contents

The complete life tables have been processed in the Microsoft Excel spreadsheet. In order to exclude random fluctuations, the tables are computed for
5-years period 2001 – 2005. For comparison are included life tables for Czech Republic and for NUTS3 regions computed using the same method.


Death probability q_x is based on continuous function q_x = 1-exp(-m_x) where m_x is a table death rate. In calculation the table death rate is substituted with a specific one obtained from empirical data. Subsequent to removal of large fluctuations from the q_x series, values of the probability of survival p_x are extrapolated by means of the Gompertz-Makeham formula using the King-Hardy method. The death probability of 0-year-old individuals is calculated as the ratio of deaths at the age of 0 to live births in a given period.

• Death probability (q_x) is the probability that an x-year-old individual will die in a given period (i.e. before the exact age of x+1):

• Probability of survival (p_x) – the complement to the death probability – is the probability that an x-year-old individual will not die in a given period and will live to see the age of x+1:

• Table number of survivors (I_x) is the hypothetical number of individuals alive at the exact age of x out of 100 thousand births (table root – Io), given the mortality in the reference period

• Table number of deaths (d_x) is the hypothetical number of individuals who died at the age of x; it is calculated as the difference between two subsequent table numbers of survivors:

• Table number of person-years (L_x) is the hypothetical average number of individuals alive at the age of x; it is calculated (except for the age of 0) as the average of two subsequent table numbers of survivors:

• Auxiliary indicator (T_x) that gives the number of years of life to be lived by the table generation (not of an individual) at a given age; it is the cumulation of individuals alive L_x over the span from the highest age of the table (ω-1) to the lowest age of the table (0):

• Life expectancy (e_x) is the number of years to be lived by an x-year-old individual, given the mortality conditions of the reference period. It is a synthetic indicator which shows mortality conditions in all age groups. It is calculated as the ratio of the number of years to be lived by the table generation of a given age (T_x) to the table number of survivors (I_x):