lambda {popbio} | R Documentation |
Calculates the population growth rate of a projection matrix
lambda(A)
A |
A projection matrix |
see section 4.4 in Caswell (2001)
The dominant eigenvalue
The built-in eigen
function returns eigenvalues in descreasing
order of magnitude or modulus. The dominant eigenvalue of imprimitive
matrices with d eigenvalues of equal modulus is the one with the
largest real part (which.max(Re(eigen(A)$values))
).
Chris Stubben
Caswell, H. 2001. Matrix population models: construction, analysis, and interpretation, Second edition. Sinauer, Sunderland, Massachusetts, USA.
eigen
and pop.projection
A<-matrix(c(0,0,2,.3,0,0,0,.6,0), nrow=3,byrow=TRUE) lambda(A) # third Re(eigen(A)$values) data(hudsonia) sapply(hudsonia, lambda)