-------- Original Message --------
Subject:        Re: Analyzing ontogenetic trajectory angles
Date:   Wed, 20 Jul 2011 14:57:09 -0400
From:   Víctor Cruz <[email protected]>
To:     [email protected]



Dear David,
I am interesting in the R Package Ontogeny,
Best
Víctor


2011/7/20 morphmet <[email protected]
<mailto:[email protected]>>



    -------- Original Message --------
    Subject: Re: Analyzing ontogenetic trajectory angles
    Date: Tue, 19 Jul 2011 13:42:00 -0400
    From: [email protected] <mailto:[email protected]>
    To: [email protected] <mailto:[email protected]>

    Dear David,

    Im writing a R package (named "ontogeny") with a
    colleague (Giancarlo Ferrara) containing functions
    used in

    Paolo Piras, Paolo Colangelo, Dean C Adams, Angela
    Buscalioni, Jorge Cubo, Tassos Kotsakis, Carlo Meloro
    and Pasquale Raia. 2010. The Gavialis-Tomistoma
    debate: the contribution of skull ontogenetic
    allometry and growth trajectories to the study of
    crocodylian relationships.Evolution and  Development
    12(6):568-79

    These new functions are newely developed functions
    (albeit inspired by Dean Adams past papers and Piras
    et al 2010)
    You are refrerring in your post to the ontogenetic
    convergence test of our paper. This can be applied to
    any linear model (not only, of course, to ontogenetic
    data)
    Let me know if you (or everyone else) need the
    function code. I cand send it to you.





    -------- Original Message --------
    Subject:        Analyzing ontogenetic trajectory angles
    Date:   Mon, 18 Jul 2011 14:46:19 -0400
    From:   David Katz <[email protected] <mailto:[email protected]>>
    To: [email protected] <mailto:[email protected]>



    Hello,

    I have read several morphometrics papers which test
    for significant
    differences in ontogenetic trajectory between two
    groups (species,
    subspecies, etc) by calculating the "angle" between
    their growth
    trajectories.  However, parts of (or even lots of) the
    method remain
    unclear to me.

    First, it seems that calculation of the angle requires
    calculation of
    two simple regression lines, one for each group, with
    the angle being
    the arc subtended by the two lines.  One axis for
    these regression
    plots/calculations is the distribution of specimens
    along a PC which is
    significantly correlated with size or age (usually the
    first PC).  But
    it is not clear to me what the second axis is.  Log
    centroid size?

    Second, the significance of the angle is tested by
    randomly permuting
    specimens between the two groups 1000 or more times,
    then calculating a
    new angle for each permutation.  Significance is then
    tested against the
    distribution of permutation-generated angles.  But
    what is the
    permutation procedure?  Do we only permute a single
    specimen each time?

    Third, if I'm understanding the method correctly, then
    absent an
    additional scaling step, the two lines from which the
    angle is
    calculated are not likely to be of the same length.
    How is this
    accounted for, if at all?

    Any help, or a reference to a good, explicit journal
    or book
    explanation, would be very much appreciated.

    Thanks.

    David Katz
    Doctoral Candidate
    Department of Anthropology--Evolutionary Wing
    University of California, Davis
    Young Hall 204

    /--Trying to focus on one distraction at a time/--








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