life.table {MortCast}

Life Table Function

Description

Function for obtaining life table quantities from mortality rates.

Usage

life.table(
  mx,
  sex = c("male", "female", "total"),
  abridged = TRUE,
  a0rule = c("ak", "cd"),
  radix = 1,
  open.age = 130
)

Arguments

mx

Vector of age-specific mortality rates nmx. If abridged is TRUE (default), the elements correspond to 1m0, 4m1, 5m5, 5m10, .... If abridged is FALSE, they correspond to 1m0, 1m1, 1m2, 1m3, ....

sex

Which sex the mortality rates correspond to.

abridged

Is it an abridged life table (TRUE, default) or not (FALSE). In the former case, the mx vector is interpreted as corresponding to age groups 0, 1-4, 5-9, 10-14, .... If FALSE, the mx vector is interpreted as corresponding to one-year age groups, i.e. 0, 1, 2, 3, ....

a0rule

Rule for approximation of a0. "ak" (default) uses the Andreev-Kingkade method (Andreev and Kingkade, 2015), "cd" uses the Coale-Demeany method.

radix

Base of the life table.

open.age

Open age group. If smaller than the last age group of mx, the life table is truncated. It does not have any effect if larger than the last age group.

Details

Computes a life table corresponding to given mortality rates for either 5- or 1-year age groups. The implementation follows Preston et al. (2001).

Value

Data frame with rows corresponding to age groups and the following columns:

age

Starting year of the age group.

mx

Age-specific mortality rates as passed into the mx argument.

qx

Probability of dying between ages x and x+n.

lx

Number of survivors at age x.

dx

Number of deaths between ages x and x+n.

Lx

Person-years lived between ages x and x+n.

sx

Survival rate from age x to x+n. Note that in an abridged life table, sx always refers to 5-year intervals. Here, sx in the first row is the survival from births to the second age group, sx in the second row is the survival from age 0-4 to age 5-9, third row has the survival from 5-9 to 10-14 etc.

Tx

Person-years lived after age x.

ex

Life expectancy at age x.

ax

Average person-years lived in the interval by those dying in the interval. For young ages, it follows Preston et al. (2001), Table 3.3 on page 48. If a0rule is "ak" (default) the Andreev-Kingkade method is used for a0. For compatibility with computations done at the UN, we set ax for ages 5 and 10 in the abridged version to 2.5. For an unabridged life table, ax is set to 0.5 for all but first and last age groups.

References

Preston, S.H., Heuveline, P., Guillot, M. (2001). Demography: Measuring and Modeling Population Processes. Oxford: Blackwell Publishers Ltd.

Andreev, E.M. and Kingkade, W.W. (2015). Average age at death in infancy and infant mortality level: Reconsidering the Coale-Demeny formulas at current levels of low mortality. Demographic Research, 33(13), p.363-390. DOI: 10.4054/DemRes.2015.33.13

Examples

data(mxF, e0Fproj, package = "wpp2017")
# get female mortality of Mexico for the current year
country <- "Mexico"
mxf <- subset(mxF, name == country)[,"2010-2015"]
life.table(mxf, sex = "female")