calc.ro: Caclulate net reproduction number from a demographic...

In strandCet: Estimation of Biological Parameters from Stranded Cetaceans

Description

Calculate the net reproduction number ($R_0$) from an age or stage-classified demographic projection matrix.

Usage

calc.ro(A, N.out = FALSE)

Arguments

A	A demographic projection matrix
N.out	Return the fundamental matrix (N) of the Markov chain.

Details

Calculates the net reproduction number ($R_0$) from an age or stage-classified demographic projection matrix by first decomposing the k x k projection matrix A into two component matrices, T and F. T collects the transitions between life-cycle stages while F collects the fertility transitions. For an age-classified Leslie matrix, T will contain only the sub-diagonal of A and F will contain only the first row of A. The fundamental matrix is given by $N = (I-T)^-1$, where I is a k x k identity matrix. $R_0$ is the leading eigenvalue of the matrix FN.

Value

If the (default) option N.out=FALSE is used, the net reproduction number is returned as a single value. If N.out = TRUE, the returned value is a list of two items:

ro	Net reproduction number.
N	Fundamental matrix.

References

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

See Also

Leslie.matrix

strandCet documentation built on May 1, 2019, 8:19 p.m.