Thanks for all the great comments and/or publications. Following is a 
list of all the comments and publications. If this list spurs more 
thoughts, comments and recommended publications, awesome! -- Ed

It seems like you are talking about a statistically rare species with 
respect to a sample. I would recommend looking at McCune and Grace's 
Analysis of Ecological Communities. Of course, there are many cases (eg. 
calculation of species richness, evenness or diversity measures) when 
you would not want to delete any rare species. 

The removal of rare taxa, at least in my view, is more a statistical 
thing than an ecological thing.  What I mean is the taxa are removed to 
avoid skewing a site based on a small number of taxa.

There are different ways to define rare. In my own work, some species 
are legitimately rare, others are made rarer by disturbance, and some 
are database-rare, meaning that we simply didn't identify or encounter 
it often.
What do these things mean? In practice, maybe much the same, but the 
question is whether you're trying to detect rare things or not. If so, 
dropping them from analysis makes little sense. 

I use ordination a lot, and that technique does really poorly with zeros 
(non-occurrence records) in the dataset. I frequently will combine taxa 
to a higher level (genera) or maybe even functional type. That 
frequently helps with my analyses by making fewer analytical objects 
(columns in the database).    

I don't have any great references for this, but Bruce McCune has talked 
about this I know. 

I define rare as <1% relative read abundance in any one sample (speaking 
in OTU language).  In microbiome research, singletons or taxa <1% 
relative read abundance probably aren't having a huge effect on the 
function of the bacterial community, but then again, some are finding 
that rarer taxa do have influence on community function... generally 
speaking they are talking those organisms not "rare" as I define above, 
but "rarer" meaning not in the "core" microbiome... but there again, 
everyone defines a core differently...
Personally, I say it is context dependent and you have to defend your 
rationale. ; )  Now that I have thoroughly muddied the waters....


1.Cao, Y., Williams, D. D. & Williams, N. E. How important are rare 
species in aquatic community ecology and  bioassessment? Limnol. 
Oceanogr. 43, 1403–1409 (1998).

2.Marchant, R. How important are rare species in aquatic community 
ecology and   bioassessment? A comment on the conclusions of Cao et al. 
Limnol. Oceanogr. 44, 1840–1841 (1999).

3.Cao, Y. & Williams, D. D. Rare species are important in bioassessment 
(Reply to the comment by   Marchant). Limnol. Oceanogr. 44, 1841–1842 
(1999).

Cao, Y., Larsen, D. P. & Thorne, R. S.-J. Rare species in multivariate 
analysis for bioassessment: some considerations. Journal of the North 
American Benthological Society 20, 144–153 (2001).

Jain, M. et al. The importance of rare species: a trait-based assessment 
of rare species contributions to functional diversity and possible 
ecosystem function in tall-grass prairies. Ecology and Evolution 4, 104–
112 (2014).

Ostermiller, J. D. & Hawkins, C. P. Effects of Sampling Error on 
Bioassessments of Stream Ecosystems: Application to RIVPACS-Type Models. 
Journal of the North American Benthological Society 23, 363–382 (2004).

Poos, M. S. & Jackson, D. A. Addressing the removal of rare species in 
multivariate bioassessments: The impact of methodological choices. 
Ecological Indicators 18, 82–90 (2012).

Dorado, J., et al. (2011). "Rareness and specialization in plant–
pollinator networks." Ecology 92(1): 19-25. 

Hopkins, G. W., et al. (2002). "Identifying rarity in insects: the 
importance of host plant range." Biological Conservation 105(3): 293-
307. 

Kunin, W. E. and K. J. Gaston, Eds. (1997). The biology of rarity: 
causes and consequences of rare-common differences. London, Chapman & 
Hall. 

Lesica, P., et al. (2006). "Rare plants are common where you find them." 
Am. J. Bot. 93(3): 454-459. 

Rabinowitz, D. (1981). Seven forms of rarity. The Biological Aspects of 
rare Plant Conservation. H. Synge. New York, Wiley: 205-217. 

Molina, R., Horton, T. R., Trappe, J. M. & Marcot, B. G. Addressing 
uncertainty: How to conserve and manage rare or little-known fungi. 
Fungal Ecology 4, 134–146 (2011).

Ramirez, K. S. et al. Detecting macroecological patterns in bacterial 
communities across independent studies of global soils. Nature 
Microbiology 3, 189–196 (2018).

Shade, A. & Gilbert, J. A. Temporal patterns of rarity provide a more 
complete view of microbial diversity. Trends in Microbiology 23, 335–340 
(2015).

Shade, A., McManus, P. S. & Handelsman, J. Unexpected Diversity during 
Community Succession in the Apple Flower Microbiome. mBio 4, e00602-12 
(2013).

Shade, A. et al. Conditionally Rare Taxa Disproportionately Contribute 
to Temporal Changes in Microbial Diversity. mBio 5, e01371-14 (2014).

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