The Human Life Indicator (HLI)

Usage

hli(age, mx, ...)

Arguments

age: Numeric array of age intervals; for full life table = 0:100; for concise life table = c(0:1, seq(5,85,5))
mx: Numeric array with age specific mortality rates.
...: Optional. Additional arguments for LT() function.

Value

A length-1 numeric value giving the Human Life Indicator, i.e. the geometric mean age at death implied by the life table.

Details

It is calculated as $$HLI = \prod_{x=\alpha}^{\omega}(x + a_x)^{d_x}$$ where $\alpha, \omega$ are the first and last age groups, $x$ is age, $a_x, d_x$ are life table functions (s.t. $\sum_{x=\alpha}^{\omega} d_x = 1$).

References

Ghislandi, S., Sanderson, W.C., & Scherbov, S. (2019). A Simple Measure of Human Development: The Human Life Indicator. Population and Development Review, 45, 219–233.

Examples

age <- 0:5
mx <- c(0.02, 0.01, 0.012, 0.015, 0.02, 0.03)
hli(age, mx)
#> [1] 29.77401