Thanks, Liam! That was really helpful. But what would be an alternative to
estimate evolutionary rates in those cases? Simply the sigsq estimate under
a white noise model? (which I assume is simply the variance in the original
data?)

Karla

On Wed, Sep 23, 2020 at 10:23 PM Liam J. Revell <liam.rev...@umb.edu> wrote:

> Hi Karla.
>
>  > I just wanted to make sure that the estimate of sigma^2 in a BM model
>  > in fitContinuous is a meaningful measure of the rate of evolution of
>  > the trait even if its phylogenetic signal is low.
>
> I would say that the answer to this question (if it were posed as one)
> is 'no.' Another way to put this is that sigma^2 is probably not a
> meaningful measure of the rate of evolution for your character if
> Brownian motion is a (very) poor fit to your data.
>
> It's kind of equivalent to saying 'is the slope of a fitted linear
> regression a good measure of the rate of change in y as a function of x
> if a linear model is a very poor fit to my data?' (That is, you can
> still find a value of the slope that maximizes the probability of your
> data under a linear model, and this slope accurately give the mean
> effect of x on y over the range of your observations for x - but it may
> not mean a whole lot about how x & y genuinely co-vary.)
>
> All the best, Liam
>
> Liam J. Revell
> University of Massachusetts Boston
> Universidad Católica de la Ssma Concepción
> web: http://faculty.umb.edu/liam.revell/, http://www.phytools.org
>
> Academic Director UMass Boston Chile Abroad:
> https://www.umb.edu/academics/caps/international/biology_chile
>
> On 9/23/2020 9:36 PM, Karla Shikev wrote:
> > **[EXTERNAL SENDER]
> >
> > Dear All,
> >
> > Thanks for your fantastic feedback. Just a bit more background: I'm
> > interested both in the phylogenetic signal and the evolutionary rate. I
> > just wanted to make sure that the estimate of sigma^2 in a BM model in
> > fitContinuous is a meaningful measure of the rate of evolution of the
> > trait even if its phylogenetic signal is low.
> >
> > thanks again!
> >
> > Karla
> >
> > On Wed, Sep 23, 2020 at 8:45 PM Theodore Garland
> > <theodore.garl...@ucr.edu <mailto:theodore.garl...@ucr.edu>> wrote:
> >
> >     Carla, I can also suggest looking at some of the papers on this,
> >     such as:
> >
> >     Blomberg, S. P., T. Garland, Jr., and A. R. Ives. 2003. Testing for
> >     phylogenetic signal in comparative data: behavioral traits are more
> >     labile. Evolution 57:717–745.
> >
> >
> >     Ives, A. R., P. E. Midford, and T. Garland, Jr. 2007. Within-species
> >     variation and measurement error in phylogenetic comparative methods.
> >     Systematic Biology 56:252–270.
> >
> >
> >     Revell, L., L. Harmon, and D. Collar. 2008. Phylogenetic signal,
> >     evolutionary process, and rate. Systematic Biology 57:591–601.
> >
> >
> >     Hardy, O. J., and S. Pavoine. 2012. Assessing phylogenetic signal
> >     with measurement error: a comparison of Mantel tests, Blomberg et
> >     al.’s K, and phylogenetic distograms. Evolution 66:2614–2621.
> >
> >
> >     Cheers,
> >
> >     Ted Garland
> >
> >
> >
> >
> >     On Wed, Sep 23, 2020 at 4:33 PM Liam J. Revell <liam.rev...@umb.edu
> >     <mailto:liam.rev...@umb.edu>> wrote:
> >
> >         Dear Karla.
> >
> >         What do you want to use fitContinuous to do?
> >
> >         fitContinuous fits multiple models, some of which will result in
> >         low
> >         values of lambda in a test of phylogenetic signal. In fact, this
> is
> >         really the main point of fitContinuous: to compare alternative
> >         models
> >         for trait evolution. If you just want to estimate the
> >         most-likely rate
> >         of evolution assuming a Brownian evolutionary process, you could
> >         just
> >         compute the mean squared PIC value (this is the REML estimate of
> >         sigma^2).
> >
> >         fitContinuous can also take into account sampling error in the
> >         estimation of species means, which can be a cause for low
> measured
> >         values of phylogenetic signal.
> >
> >         Hope this is of some help Karla.
> >
> >         All the best, Liam
> >
> >         Liam J. Revell
> >         University of Massachusetts Boston
> >         Universidad Católica de la Ssma Concepción
> >         web: http://faculty.umb.edu/liam.revell/,
> >         http://www.phytools.org
> >         <
> https://nam10.safelinks.protection.outlook.com/?url=http%3A%2F%2Fwww.phytools.org%2F&data=02%7C01%7Cliam.revell%40umb.edu%7C4b3649722f5c4a9bb0f508d86021d687%7Cb97188711ee94425953c1ace1373eb38%7C0%7C1%7C637365045732071994&sdata=L7HXU2Ljrj89dZ5ql%2FRWMB7ddrReMWnZxdufzJQ2Nvs%3D&reserved=0
> >
> >
> >         Academic Director UMass Boston Chile Abroad:
> >         https://www.umb.edu/academics/caps/international/biology_chile
> >
> >         On 9/23/2020 8:21 PM, Karla Shikev wrote:
> >          > [EXTERNAL SENDER]
> >          >
> >          > Dear friends,
> >          >
> >          > I guess this is as much a philosophical question as it is
> >         methodological. I
> >          > want to estimate the rate of evolution of a trait (e.g. using
> the
> >          > fitContinuous function), but the trait has low phylogenetic
> >         signal (e.g.
> >          > lambda close to 0). Does it make sense to use fitContinuous
> >         on a trait
> >          > evolving like that?
> >          >
> >          > Thanks for your input.
> >          >
> >          > Karla
> >          >
> >          >          [[alternative HTML version deleted]]
> >          >
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