-------- Original Message --------
Subject:        Re: Phylogenetic size correction with sexual dimorphism
Date:   Fri, 11 Nov 2011 18:00:00 -0500
From:   Mauricio Torres <[email protected]>
To:     [email protected]



Dear Emma,

you can quantify, for each species, the intersexual difference in each
relative warp for the average-size hypothetical individual. That
difference can be estimated with methods similar to those used to
produce a typical thin-plate spline. The idea is that if you compare the
average male vs the average female using thin-plate splines, a species
with little sexual dimorphism will show little deformation, and one with
a high level of dimorphism will have a deformed grid. The magnitude of
deformation can be estimated and used as an indicator of sexual
dimorphism. Such measurement of sexual dimorphism for each RW can be
analyzed with PGLS, using size as one of your predictor variables.

Best wishes,

Mauricio

=================================
Mauricio Torres-Mejia
PhD Candidate
Department of Biology
University of California, Riverside, CA, 92521
USA
http://student.ucr.edu/~rtorr006/



2011/11/11 morphmet <[email protected]
<mailto:[email protected]>>



    -------- Original Message --------
    Subject: Re: Phylogenetic size correction with sexual dimorphism
    Date: Fri, 11 Nov 2011 15:01:56 -0500
    From: Dean Adams <[email protected] <mailto:[email protected]>>
    To: [email protected] <mailto:[email protected]>
    <[email protected] <mailto:[email protected]>>

    Emma,

    Adding very short branches to the tips of your phylogeny for males and
    females in each species won't necessarily cause the phylogenetic VCV
matrix to be singular, just as having polytomies won't necessarily cause
    this matrix to be singular. In fact, adding very short branches was one
early way (albeit clunky) in which within-species variation was included
    in PGLS analyses; prior to Felsenstein 2008 and other more recent
    approaches (see e.g., Ruber and Adams 2001: J Evol. Biol.).

    So you might give this approach a try for your project.

    Best,

    Dean

    --
    Dr. Dean C. Adams
    Associate Professor
    Department of Ecology, Evolution, and Organismal Biology
    Department of Statistics
    Iowa State University
    Ames, Iowa
    50011
    www.public.iastate.edu/~__dcadams/
    <http://www.public.iastate.edu/~dcadams/>
    phone: 515-294-3834 <tel:515-294-3834>



    On 11/11/2011 1:53 PM, morphmet wrote:


        -------- Original Message --------
        Subject:        Phylogenetic size correction with sexual dimorphism
        Date:   Fri, 11 Nov 2011 14:26:10 -0500
        From:   Emma Sherratt<emma.sherratt@gmail.__com
        <mailto:[email protected]>>
        To: [email protected] <mailto:[email protected]>



        Dear fellow morphmetricians,

        I am stuck on the methods for phylogenetic size correction in my
        study
        looking at sexual shape dimorphism across a number of species.

        I have size and shape data for 50 species, averaged for males
        and for
        females in each species. The averages have been made from measuring
        several individuals per sex per species. So data structure is n
        = 100
        (50 males, 50 females).

        I want to correct my shape data for size, taking into account
        phylogenetic non-independence, so that the phylogenetic
        size-corrected
        data in the original format, i.e. for each species an average
        for males
        and average for females. This is because I want to examine the
        sexual
        shape dimorphism in a PCA morphospace.

        Normally to correct for size in geo morphometric shape data, I
        would use
a multivariate regression (a la Monteiro 1999 Sys Biol) and take the
        residuals for subsequent analyses.

        For correcting for evolutionary allometry, I would take the average
        shape and size for each species, and run a multivariate
        regression using
        either independent contrasts or make a phylogenetic VCV matrix
        from the
        tree.

Where I run into a problem is that for each species, I have data for
        both sexes, and since I want to study the dimorphism between
        sexes, I
        cannot simply use an average for species during the regression.

        It doesn't work to have zero length branches for males and
        females in
        the phylogeny, since this leads to extra independent contrasts, or
        singular values in a VCV phylo matrix.


        Any ideas?

        Regards,

        Emma

        ---

        Emma Sherratt, PhD.
        Post-Doctoral Fellow in Organismic and Evolutionary Biology
        and Museum of Comparative Zoology
        Harvard University
        26 Oxford St.
        Cambridge, MA 02138
        [email protected]

<mailto:[email protected]><__mailto:emmasherratt@fas.__harvard.edu
        <mailto:[email protected]>>




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