Life Tables for the CR and Regions
Methodology | Contents |
The complete life tables have been processed in the Microsoft Excel spreadsheet for a two-year period to exclude random fluctuations.
Death probability qx is based on continuous function qx = 1-exp(-mx) where mx 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 qx series, values of the probability of survival px 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 (qx) is the probability that an x-year-old individual will die in a given period (i.e. before the exact age of x+1):
qx=1-exp(-mx)
- Probability of survival (px) – 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:
px=1-qx
- Table number of survivors (Ix) 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
lx+1=px.lx
- Table number of deaths (dx) 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:
dx=lx - lx+1
- Table number of person-years (Lx) 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:
Lx=1/2.(lx+lx+1) for L0=l0.(1-0,92.q0)
- Auxiliary indicator (Tx) 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 Lx over the span from the highest age of the table ( - 1) to the lowest age of the table (0):
Tx=Tx+1+Lx
- Life expectancy (ex) 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 (Tx) to the table number of survivors (Ix):
e0x=Tx / lx