-------- Original Message --------
Subject: Re: Analyzing ontogenetic trajectory angles
Date: Wed, 20 Jul 2011 16:22:42 -0400
From: [email protected]
To: [email protected]
CC: morphmet <[email protected]>

Dear all,
ontogeny pakage (under development by Piras and
Ferrara) is not yet released.
WE just completed some functions. ONE OF THESE (AMONG
OTHERS) is the ontogenetic convergence test.
Note that it is SLIGhTLY DIFFERENT form its previous
published applications. Further details can be
furnished to anyone intersted in. In any case all this
was inspired by Dean Adams past papers- cited in
Dean's previous post - and Piras et al (2010) paper.
Actually,  we are working for a complete set of
functions (some are new concepts
actually....)developed to investigate from all points
of view ontogenetic trajectories when two or more
groups are under study in order to assess PAIRWISE
their differences(multivariate elevation, multivariate
slope, multivariate disparity around trajectory, the
course of multivariate heteroskedasticity, etc.). All
p-values are assessed by means of permutations on
group membership.
These methods are presented in a paper that is under
review now.
I had in mind to annouce in morphmet the completion of
our effort but we dont finished yet.......
Contact me ([email protected]) if you are interested in

best
paolo



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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Instituto Politécnico Nacional
Centro Interdisciplinario de Ciencias Marinas
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