damping.ratio: Damping ratio

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

View source: R/damping.ratio.R

Description

Calculates the damping ratio of a projection matrix

Usage

1

Arguments

A

A projection matrix

Details

see section 4.7 in Caswell (2001).

Value

Damping ratio

Note

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

Author(s)

Chris Stubben

References

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

See Also

lambda

Examples

 1
 2
 3
 4
 5
 6
 7
 8
 9
10
11
12
## whale converges slowly to stable stage distribution
data(whale)
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)
data(calathea)
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")

popbio documentation built on May 4, 2018, 1:04 a.m.