elasticity: Elasticity analysis of a projection matrix

Description

Calculate the elasticities of eigenvalues to changes in the projection matrix elements

Usage

1

Arguments

A

A projection matrix

Details

see section 9.2 in Caswell (2001).

Value

An elasticity matrix

Author(s)

Chris Stubben

References

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

See Also

sensitivity

Examples

 1
 2
 3
 4
 5
 6
 7
 8
 9
10
11
12
13
14
15
data(teasel)
elas<-elasticity(teasel)
image2(elas, mar=c(1,3.5,5,1) )
 title("Teasel elasticity matrix", line=2.5)
# Summed elasticities for teasel.  
# fertility in last column, stasis P on diagonal, and growth in bottom-left triangle
c(F=sum(elas[,6]), P=sum(diag(elas)), G=sum(elas[row(elas)>col(elas)]))

data(tortoise)
elas<-elasticity(tortoise[["med.high"]])
image2(elas, mar=c(1,3.5,5,1),  log=FALSE)
 title("Tortoise elasticity matrix", line=2.5)
# Summed elasticities for tortoise (see example 9.4)
# fertility in top row, stasis on diagonal, and growth on subdiagonal
c(F=sum(elas[1,]), P=sum(diag(elas)), G=sum(elas[row(elas)==col(elas)+1]))

Questions? Problems? Suggestions? or email at ian@mutexlabs.com.

All documentation is copyright its authors; we didn't write any of that.