Leslie matrix summary
Usage
# S3 method for class 'leslie'
summary(object, d = 1, ...)Arguments
- object
A leslie matrix from
leslie().- d
Time step. By default it is 1. Only affects \(r\).
- ...
Ignored.
Value
A list of class summary.leslie with four components:
lambda (dominant eigenvalue / asymptotic growth factor), r
(intrinsic growth rate), w (stable age distribution summing to 1),
and v (reproductive values normalized so that sum(v * w) = 1).
Details
The function calculates \(\lambda\), \(r\), \(w\) and \(v\).
\(\lambda\) – asymptotic growth factor that is dominant eigenvalue.
\(r\) – asymptotic growth rate that is \(ln \lambda / \delta t\).
\(w\) – stable age distribution normalized to 1 s.t. \(\sum_x^{\omega} w_x = 1\) where \(x\) is age.
\(v\) – reproductive values normalized s.t. \(v'w = 1\).
Examples
mx <- c(0.02, 0.01, 0.012, 0.015, 0.02)
fx <- c(0.05, 0.08)
les <- leslie(mx = mx, fx = fx, age.mx = 0:4, age.fx = 1:2)
summary(les)
#> $lambda
#> [1] 0.9802469
#>
#> $r
#> [1] -0.01995082
#>
#> $w
#> [1] 0 0 0 0 1
#>
#> $v
#> [1] 1.082128 1.071921 1.027973 1.000000 1.000000
#>
#> attr(,"class")
#> [1] "summary.leslie"