damping.ratio: Damping ratio
In popbio: Construction and Analysis of Matrix Population Models

Description Usage Arguments Details Value Note Author(s) References See Also Examples

Calculate the damping ratio of a projection matrix

1	damping.ratio(A)

`A`	A projection matrix

see section 4.7 in Caswell (2001)

Damping ratio

The damping ratio is calculated by dividing the dominant eigenvalue by the eigenvalue with the second largest magnitude.

Chris Stubben

Caswell, H. 2001. Matrix population models: construction, analysis, and interpretation, Second edition. Sinauer, Sunderland, Massachusetts, USA.

lambda

## whale converges slowly to stable stage distribution
matplot2(pop.projection(whale, c(1,1,1,1), 60)$stage.vectors,
prop=TRUE, legend=NA,
main=paste("whale damping ratio = ", round(damping.ratio(whale),3) ) )
# Calathea - compare to Table 12 in Horvitz and Schemske (1995)
x <- sapply(calathea[-17], damping.ratio)
x <- matrix(x, nrow=4, byrow=TRUE, dimnames= list(paste("plot", 1:4), 1982:1985))
x
matplot2(x, type='b', ylab="Damping ratio", main="Calathea")