Leslie Matrix

Leslie Matrix

Usage

leslie(mx, fx, age.mx, age.fx, srb = 100/205, fin = TRUE, ...)

Arguments

mx

Numeric array of age specific mortality rates.

fx

Numeric array of age specific fertility rates.

age.mx

Numeric array of ages for mx.

age.fx

Numeric array of ages for fx.

srb

Numeric. Sex ratio at birth. Usually it is assumed that for males it is 105/205, for females it is 100/205. By default, it is 100/205.

fin

Logical. Should the survival rate for the last age-group be nonzero? By default it is FALSE, so the last survival rate is 0 as in classical model. Otherwise, it is \(T_{x}/T_{x-1}\).

...

Optional. Additional arguments for LT() function.

Value

A square numeric matrix of class leslie with one row and one column per age group. The first row contains fertility contributions and the subdiagonal contains survival ratios.

See also

summary.leslie() for leslie output that calculates \(\lambda\), \(r\), \(w\) and \(v\).

Examples

mx <- c(0.02, 0.01, 0.012, 0.015, 0.02)
fx <- c(0.05, 0.08)
leslie(mx = mx, fx = fx, age.mx = 0:4, age.fx = 1:2)
#>            [,1]       [,2]       [,3]      [,4]      [,5]
#> [1,] 0.01189598 0.03142637 0.01947024 0.0000000 0.0000000
#> [2,] 0.97757178 0.00000000 0.00000000 0.0000000 0.0000000
#> [3,] 0.00000000 0.98907193 0.00000000 0.0000000 0.0000000
#> [4,] 0.00000000 0.00000000 0.98659840 0.0000000 0.0000000
#> [5,] 0.00000000 0.00000000 0.00000000 0.9802469 0.9802469
#> attr(,"class")
#> [1] "leslie"