Description Usage Arguments Details Value References See Also
Calculate the net reproduction number ($R_0$) from an age or stage-classified demographic projection matrix.
1 |
A |
A demographic projection matrix |
N.out |
Return the fundamental matrix (N) of the Markov chain. |
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.
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. |
Caswell, H. (2001). Matrix population models: construction, analysis, and interpretation, Second edition. Sinauer, Sunderland, Massachusetts, USA.
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