Hi,

you may have a look to the following publication:

http://onlinelibrary.wiley.com/doi/10.1111/1365-2656.12362/abstract

Barwell et al. 2015 nicely compare the characteristics of different
pairwise beta-diversity measures. They give recommendations for choosing
beta-diversity measures along the gradient of focusing on richness
differences to turnover.

HTH,
Torsten

On Wed, 3 Apr 2019 at 09:10, Botta-Dukát Zoltán <
botta-dukat.zol...@okologia.mta.hu> wrote:

> Dear Tim,
>
> You are right: Bray-Curtis distance will be non-zero if two communities
> differ in size (sum of abundances), even if the relative abundances is
> the same. If you have number of individuals data, rarefying is the best
> solution. If you cannot apply it (e.g. because only cover data are
> available), you can calculate distance from relative abundance, and yes,
> this case BC is equivalent to Manhattan. Note that using relative
> abundances don't remove fully the effect of different sampling effort,
> because rare species could missing from the smaller sample.
>
> I don't recommend calculating BC-distance from Hellinger-transformed
> data, because sum of transformed abundances are meaningless.
>
> Best regards,
>
> Zoltan
>
> 2019. 04. 02. 17:15 keltezéssel, Tim Richter-Heitmann írta:
> > Dear list,
> >
> > i am not an ecologist by training, so please bear with me.
> >
> > It is my understanding that Bray Curtis distances seem to be sensitive
> > to different community sizes. Thus, they seem to deliver inadequate
> > results when the different community sizes are the result of technical
> > artifacts rather than biology (see e.g. Weiss et al, 2017 on
> > microbiome data).
> >
> > Therefore, i often see BC distances made on relative data (which seems
> > to be equivalent to the Manhattan distance) or on data which has been
> > subsampled to even sizes (e.g. rarefying). Sometimes i also see Bray
> > Curtis distances calculated on Hellinger-transformed data,
> >
> > which is the square root of relative data. This again makes sample
> > sizes unequal (but only to a small degree), so i wondered if this is a
> > valid approach, especially considering that the "natural" distance
> > choice for Hellinger transformed data is Euclidean (to obtain, well,
> > the Hellinger distance).
> >
> > Another question is what different sizes (i.e. the sums) of Hellinger
> > transformed  communities represent? I tested some datasets, and
> > couldnt find a correlation between original sample sizes and their
> > hellinger transformed counterparts.
> >
> > Any advice is very much welcome. Thank you.
> >
>
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