popbio (version 2.7)

damping.ratio: Damping ratio

Description

Calculate the damping ratio of a projection matrix

Usage

damping.ratio(A)

Value

Damping ratio

Arguments

A

A projection matrix

Author

Chris Stubben

Details

see section 4.7 in Caswell (2001)

References

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

See Also

lambda

Examples

## 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")