Hi,

> I'm not sure how one would combine SEM / graphical models with compositional
> dissimilarity as a response.  You might be able to fit a series of models in
> adonis() or capscale(), comparing just direct factors to direct +
> intermediate, etc..  I don't have any good ideas on how you might test more
> complex causal structures.

There's a fair bit of literature on Mantel-based path analysis, and
other similar dissimilarity-based approaches. SEM can be used with
composition as well, although not (I think) with the intermediate step
of calculating dissimilarities.

Besides journal articles employing those techniques, I like both of these:

J. B. Grace, Structural Equation Modeling and Natural Systems,
Cambridge University Press, Cambridge, UK, 2006.

B. Shipley, Cause and Correlation in Biology: A User’s Guide to Path
Analysis, Structural Equations and Causal Inference, Cambridge
University Press, Cambridge, UK, 2000.

Sarah

> Given that you are dealing with diatoms across space (with environmental
> measurements) and down time (in cores, often without environmental
> measures), there may be an alternate approach possible based on calibration
> approaches to inferred environments (e.g., WACAL) or modern analogs.  I
> would look at packages bio.infer, paltran, fossil, and analogue, and search
> to see if anyone has pushed them in the direction you want to go.
>
> Tom
>
>
>
> On Thu, Mar 7, 2013 at 6:50 AM, Jay Kerns <gjkerns...@gmail.com> wrote:
>>
>> Dear Sarah,
>>
>> On Thu, Mar 7, 2013 at 9:32 AM, Sarah Goslee <sarah.gos...@gmail.com>
>> wrote:
>> > That sounds like a job for path analysis or for structural equation
>> > modeling, depending on the level of sophistication desired and the
>> > hypotheses to be tested.
>> >
>>
>> *Yes!*  I said almost the exact same thing (I didn't say anything
>> about Path Analysis because I don't know much about it), but I had it
>> in my mind that SEM was targeted more to sociological things and
>> didn't know if/that it was common in ecological contexts.  Anyway,
>> it's nice to hear that word coming from somebody else.
>>
>> > There are plenty of good resources for both, in and out of R.
>>
>> Indeed.  I have some work to do.  Thank you.
>>
>> --
>> Jay
>>
>>

--
Sarah Goslee
http://www.functionaldiversity.org

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