# sensitivity: Sensitivity analysis of a projection matrix In popbio: Construction and Analysis of Matrix Population Models

## Description

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

## Usage

 `1` ```sensitivity(A, zero=FALSE) ```

## Arguments

 `A` A projection matrix `zero` Set sensitivities for unobserved transitions to zero, default is false

## Details

see section 9.1 in Caswell (2001).

## Value

A sensitivity matrix

Chris Stubben

## References

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

`elasticity`
 ``` 1 2 3 4 5 6 7 8 9 10 11 12``` ```data(teasel) sens<-sensitivity(teasel) ## IMAGE plot with smaller boxes image2(sens, mar=c(1,3.5,5,1), box.offset=.1) title("Sensitivity matrix using image2", line=2.5) ## MATPLOT matplot2(sens, log='y', type='b', yaxt='n', ltitle="Fate", ylab=expression(paste("Sensitivity of ",lambda)), main="Sensitivity matrix using matplot2") pwrs<- -4:1 axis(2, 10^pwrs, parse(text=paste("10^", pwrs, sep = "")), las=1) ```