Re: [R-sig-phylo] asymmetric transitions

2012-08-18 Thread Daniel Barker
On ancestral state reconstructions. I've recently started using Ziheng Yang's terminology - of referring to reconstructions, derived from ML transition rates and equilibrium frequencies, as 'empirical Bayes' reconstructions. I believe this to be the most useful way to describe these methods. My

Re: [R-sig-phylo] asymmetric transitions

2012-08-18 Thread Joe Felsenstein
Daniel Barker wrote: On ancestral state reconstructions. I've recently started using Ziheng Yang's terminology - of referring to reconstructions, derived from ML transition rates and equilibrium frequencies, as 'empirical Bayes' reconstructions. I believe this to be the most useful way to

Re: [R-sig-phylo] asymmetric transitions

2012-08-17 Thread Jarrod Hadfield
Hi, Thanks for the Allman Rhodes paper, it is very nice. For me at least it confirms my suspicions, but made me realise that claims of asymmetric transition rates are only suspicious if you are unprepared to make some (strong?) assumptions. If anyone disagrees with what I have written

Re: [R-sig-phylo] asymmetric transitions

2012-08-17 Thread Dan Rabosky
Hi folks- I still think there is a difference between (i) parameter identifiability, which may or may not be a problem here, and (ii) strong support for the wrong model, which clearly appears to be occurring here (e.g., Type I error rates 0.75). I don't think non-identifiability of a

Re: [R-sig-phylo] asymmetric transitions

2012-08-17 Thread Mark Holder
Hi all, I brought up the non-identifiability of the rich forms of the covarion model only because that is the source for my intuition that it will be really hard to distinguish the 1-binary-character threshold from the covarion. I agree with Dan, that the non-identifiability is not causing

Re: [R-sig-phylo] asymmetric transitions

2012-08-17 Thread Jarrod Hadfield
Hi, I see the problem: the threshold model is symmetric but NOT in the sense used in the ARD model. In the threshold model it is natural to think about evolution of the probabilty of being in one state versus the other. If the probability at the root was 0.2 and evolution was very slow

[R-sig-phylo] asymmetric transitions

2012-08-16 Thread Jarrod Hadfield
Hi, I have been helping someone with some analyses and came across some routines to estimate asymmetric transition rates between discrete characters. This surprised me because its fairly straightforward to prove that asymmetric transition rates cannot be identified using data collected

Re: [R-sig-phylo] asymmetric transitions

2012-08-16 Thread Jarrod Hadfield
Hi, I have had a few replies off-list which have made me try and clarify what I mean. I think the distinction needs to be made between two types of probability: the probability that an outcome is 0 or 1 Pr(y| \theta) and the probability density of \theta, Pr(\theta | \gamma), indexed

Re: [R-sig-phylo] asymmetric transitions

2012-08-16 Thread Dan Rabosky
HI Jarrod- It isn't immediately obvious to me why the exercise below reflects something problematic. In the first scenario, you have a random binary state but with strong differences in frequency. Because there is effectively no phylogenetic signal (as data are simply random), this suggests a

Re: [R-sig-phylo] asymmetric transitions

2012-08-16 Thread Matt Pennell
Jarrod and Dan, While I see what Dan is saying and I agree that evaluating this with non-phylogenetic data is not entirely useful, I think you have stumbled upon a known issue but one that is not widely appreciated. While the MK model is a useful model for discrete characters in many ways, it

Re: [R-sig-phylo] asymmetric transitions

2012-08-16 Thread Daniel Barker
Dear Jarrod, It's not R, but I think very helpful - this is from the Mesquite documentation at http://mesquiteproject.org/mesquite_folder/docs/mesquite/CharacterEvolution /AncestralStates.html - As of version 1.1 of Mesquite, the AsymmMk model has two options for the handling

Re: [R-sig-phylo] asymmetric transitions

2012-08-16 Thread Jarrod Hadfield
Hi, I can see that there is information when the rates depend on speciation, because there is variation in the number of speciation events the species have experienced in their evolutionary history (from the root). However, if it is a purely time based process there is no variation in

Re: [R-sig-phylo] asymmetric transitions

2012-08-16 Thread Dan Rabosky
Hi All- This is an interesting discussion. I think there is clearly something going on. I do not get catastrophic Type I error rates from this exercise (only 'elevated') with discrete char simulations (an equal rates markov process) - see below. However, Jarrod's latent model seems reasonable

Re: [R-sig-phylo] asymmetric transitions

2012-08-16 Thread Mark Holder
Hi all, apologies for the long email I'm a bit more concerned with Dan's elevated Type-1 error rates than Jarrod's example. With respect to Jarrod's simulations, I have a few thoughts: 1. I don't understand the claim (in the original email) that its fairly straightforward to

Re: [R-sig-phylo] asymmetric transitions

2012-08-16 Thread Joe Felsenstein
Mark Holder wrote: With respect to Jarrod's simulations, I have a few thoughts: 1. I don't understand the claim (in the original email) that its fairly straightforward to prove that asymmetric transition rates cannot be identified using data collected on the tips of a phylogeny It seems

Re: [R-sig-phylo] asymmetric transitions

2012-08-16 Thread Dan Rabosky
Hi all- A couple of points. I am actually less concerned about the Type I error rates I gave in that previous message for the equal rates markov process, even though I think they are real (e.g., I can corroborate them using Diversitree). I don't think it is an issue of ascertainment bias, but

Re: [R-sig-phylo] asymmetric transitions

2012-08-16 Thread Matt Pennell
Hey all, This has been a really fantastic discussion. Mark, you make some really excellent points in response to my earlier comments. I think you are correct in this. The question that arises out of Jarrod and Dan's simulations (which I have just run) is whether a model selection criteria would

Re: [R-sig-phylo] asymmetric transitions

2012-08-16 Thread Matt Pennell
correction: the last sentence should have read I wonder how that would work in this case. I think these are important questions going forward. On Thu, Aug 16, 2012 at 11:00 PM, Matt Pennell mwpenn...@gmail.com wrote: Hey all, This has been a really fantastic discussion. Mark, you make some

Re: [R-sig-phylo] asymmetric transitions

2012-08-16 Thread Mark Holder
Hi, I agree that model testing between ARD vs MK models is going to be misleading when the process is really described by a threshold model (and sorry for ignoring that set of simulations by Jarrod previously; somehow I misfiled that email and didn't see it). The threshold model has nice ways