[R] Interpreting the eigen value of a population matrix (2nd try)

Simon Blomberg s.blomberg1 at uq.edu.au
Thu Aug 30 04:49:51 CEST 2007

```[I've cc'ed this to the list because I think that it may be of value to
other useRs, at least for archiving purposes.]

Sorry, I did that work a long time ago in XLispStat (before I switched
to R). The delta method and the bootstrap method for standard errors for
eigenvalues are described in Caswell (2001) Matrix Population Models,
2nd Ed., Chapter 12.

Simon.

On Wed, 2007-08-29 at 13:31 -0400, Anouk Simard wrote:
> Thanks a lot for your help!
>
> Following you advice I have a couple more questions. I you could help me
> with it I would really appreciate although I would understand if you don't
> have time for it.
>
> I do have SE estimate on the survival and reproductive rate at each age
> class but I don't know how to incorporate this in a matrix model in order
> to do the bootstrap. So I was just wondering if you have any example of
> codes for it. I am not very familiar with R coding for this and I would
> very appeciate any help!
>
> Thank for your time again,
>
> Anouk
>
>
>
>
>
>
> rom: Simon Blomberg <s.blomberg1 <at> uq.edu.au>
> Subject: Re: Interpreting the eigen value of a population matrix (2nd try)
> Newsgroups: gmane.comp.lang.r.general
> Date: 2007-08-29 13:10:59 GMT (3 hours and 31 minutes ago)
>
> To get a confidence interval on lambda, you need to have measures of
> variability in the elements of the
> transition matrix. If you have that, you can use a parametric bootstrap to
> get approximate confidence
> intervals. I have done this, and it seems to work. Alternatively, you
> could calculate a Bayesian
> posterior density for lambda using the Bayesian melding methods developed
> by Adrian Raftery et al., and
> calculate an HPD interval from that. I've done that too. It's slightly
> more difficult, however.
>
> Simon.
>
> Simon Blomberg, BSc (Hons), PhD, MAppStat.
> Lecturer and Consultant Statistician
> Faculty of Biological and Chemical Sciences
> The University of Queensland
> St. Lucia Queensland 4072
> Australia
> T: +61 7 3365 2506
> email: S.Blomberg1_at_uq.edu.au
>
--
Simon Blomberg, BSc (Hons), PhD, MAppStat.
Lecturer and Consultant Statistician
Faculty of Biological and Chemical Sciences
The University of Queensland
St. Lucia Queensland 4072
Australia
Room 320 Goddard Building (8)
T: +61 7 3365 2506
email: S.Blomberg1_at_uq.edu.au

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