lambda: Population growth rate

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

View source: R/lambda.R

Description

Calculates the population growth rate of a projection matrix

Usage

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lambda(A)

Arguments

A

A projection matrix

Details

see section 4.4 in Caswell (2001)

Value

The dominant eigenvalue

Note

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)) ).

Author(s)

Chris Stubben

References

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

See Also

eigen and pop.projection

Examples

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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)

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