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- Table of Contents
BioMed Research International
Volume 2014 (2014), Article ID 325340, 10 pages
Comparative Metagenomic Analysis of Human Gut Microbiome Composition Using Two Different Bioinformatic Pipelines
1CEINGE-Biotecnologie Avanzate, Via G. Salvatore, 80145 Naples, Italy
2Department of Molecular Medicine and Medical Biotechnologies, University of Naples Federico II, Via S. Pansini, 80131 Naples, Italy
3IRCCS-Fondazione SDN, Via Gianturco, 80143 Naples, Italy
Received 5 October 2013; Accepted 30 December 2013; Published 25 February 2014
Academic Editor: Qaisar Mahmood
Copyright © 2014 Valeria D’Argenio et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Technological advances in next-generation sequencing-based approaches have greatly impacted the analysis of microbial community composition. In particular, 16S rRNA-based methods have been widely used to analyze the whole set of bacteria present in a target environment. As a consequence, several specific bioinformatic pipelines have been developed to manage these data. MetaGenome Rapid Annotation using Subsystem Technology (MG-RAST) and Quantitative Insights Into Microbial Ecology (QIIME) are two freely available tools for metagenomic analyses that have been used in a wide range of studies. Here, we report the comparative analysis of the same dataset with both QIIME and MG-RAST in order to evaluate their accuracy in taxonomic assignment and in diversity analysis. We found that taxonomic assignment was more accurate with QIIME which, at family level, assigned a significantly higher number of reads. Thus, QIIME generated a more accurate BIOM file, which in turn improved the diversity analysis output. Finally, although informatics skills are needed to install QIIME, it offers a wide range of metrics that are useful for downstream applications and, not less important, it is not dependent on server times.
Microbes play an important role in virtually all ecosystems ranging from those in the sea or the soil [1, 2] to those in human body environments like the skin or the gut [3–5]. The link with human body environments generated many studies of microbial community composition designed to assess its role in various metabolic pathways and to determine whether it is involved in inducing and/or preventing specific pathological conditions. Such investigations could help to clarify the pathogenesis of specific diseases and could also lead to novel disease-markers and/or to the development of novel therapeutic strategies. To date, several human diseases have been significantly correlated with dysbiosis of specific microbial communities [6–9].
Thanks to technological improvements in sequencing methods, virtually all the microbes from a given environment can be analyzed in a single run, avoiding cultivation steps. In particular, procedures based on 16S rRNA next-generation sequencing, which allow the high throughput microbial identification within a specific metagenome, represent a powerful means to investigate the composition and the biodiversity of microbial communities . The enormous amount of next-generation metagenomic data generated by such procedures necessitates bioinformatic tools able to analyze them. In fact, an accurate taxonomic assignment of each microbe in a target environment is required to evaluate the structure, the biodiversity, the richness, and the role of the community resident in a given environment [11, 12].
MetaGenome Rapid Annotation using Subsystem Technology (MG-RAST) is a freely available (http://metagenomics.nmpdr.org), fully automated system able to process metagenome sequence data by performing sequence alignment, sequence functional and phylogenetic assignments, and comparative metagenomics . Quantitative Insights Into Microbial Ecology (QIIME) is an open-source software pipeline (http://qiime.sourceforge.net/) able to perform, starting from raw sequence data, a wide range of analyses on microbial communities, that is, sequence alignment, identification of operational taxonomic units (OTUs), elaboration of phylogenetic trees, and phylogenetic and taxon-based analysis of diversity within and between samples . Both tools have been successfully used to analyze a large number of metagenomic 16S ribosomal RNA datasets by assessing their ability in the management of these kinds of data [15, 16].
We have performed a comparative bioinformatic analysis of the same dataset using both QIIME and MG-RAST to evaluate their accuracy in taxonomic assignment. Here, we report the efficacy of these two well established methods in assigning sequence reads to microbes at different phylogenetic levels and in analyzing the diversity and richness of microbial communities.
2. Materials and Methods
2.1. 16S rRNA Sequence Dataset
We constructed a dataset containing the 16S rRNA sequence data obtained from the analysis of the ileum mucosa samples of four unrelated children: two patients with inflammatory bowel disease and two sex- and age-matched healthy controls. The next generation sequencing evaluation of their gut microbial communities was carried out as previously described .
2.2. Bioinformatics Analysis
2.2.1. Preanalysis Step
The following parameters were set for both QIIME and MG-RAST: (i) a minimum average quality Phred score of 25 allowed in reads; (ii) a minimum and maximum sequence length in the range of 200–1000 nucleotides; and (iii) a maximum number of ambiguous bases and length of homopolymers equal to 6. In addition, to be as stringent as possible, we did not allow any primer mismatches (setting the parameter “primer mismatches” = 0) and allowed only a 1.5 maximum number of errors in barcodes.
2.2.2. 16S rRNAs Detection, Clustering, and Identification
16S bacterial rRNAs identification was performed by the two tools using two distinct strategies. MG-RAST computes the 16S rRNAs search with the Blast-Like-Alignment Tool (BLAT)  against a reduced rRNAs database. This reduced database is obtained from a 90% identity clustered version of the SILVA  database and is used to increase the rate of identification of the sequences similar to specific rRNAs,thereby reducing the computing time. The selected rRNA reads are then clustered at 97% identity by picking the longest sequence within each cluster as representative of that cluster. An additional similarity search with BLAT is then performed using only the obtained representative cluster-sequences against different 16S rRNA databases which can be selected by the user (see Taxonomic classification and Table 1). We used MG-RAST default clustering parameters within the BLAT algorithm.
In QIIME, the 16S rRNAs detection is performed with an OTU-picking approach. The OTU-picking procedure consists in assigning sequences to OTUs by clustering the sequences on the basis of a threshold that the user may modify. When a sequence shows a similarity level near or above the chosen threshold, it is taken in a sequence collection that represents the presence of a taxonomic unit. QIIME implements several clustering methods to perform this operation. We used the default clustering algorithm UCLUST , which creates sequence clusters based on percent identity (default identity = 97%). After the OTU picking step, the representative sequence for each OTU, namely, the most abundant sequences in that OTU, is chosen for subsequent analyses in order to reduce the computational power and the analysis time, without losing the frequency information.
2.2.3. Taxonomic Classification
In MG-RAST, the taxonomic classification was performed with BLAT  and, for comparison purposes, we selected, among the available 16S rRNA databases, the Greengenes database (2012 release, available at http://greengenes.lbl.gov/) , setting the Max e-Value Cutoff to 1 × 105 and the Min% Identity Cutoff to 80% (Table 1). Reads assigned to the Bacteria root but not attaining the threshold at the chosen taxonomic level fell in the category “Unclassified”, while sequences not assigned to the Bacteria root were classified as “No Hits”. To compare the power of taxonomic assignment of the two pipelines, we extracted the obtained results at amily level. After taxonomic assignment, MG-RAST generates a web page for results visualization and handling, and it can also generate a Biological Observation Matrix (BIOM) file useful to transfer the obtained data to other tools for comparison purposes .
QIIME can perform the taxonomy assignment using different methods (Table 1) . We used the Ribosomal Database Project (RDP) classifier 2.2  against the Greengenes database (2012 release, available at http://greengenes.lbl.gov/)  using the same thresholds we used for MG-RAST. After taxonomic assignment, QIIME generates a BIOM file that can be used for a wide range of analyses .
2.2.4. Diversity Analysis
To obtain an overall diversity analysis for subsequent comparative and statistical evaluations, we merged the BIOM tables generated by both MG-RAST and QIIME in a unique biom table, using a script included in QIIME (merge_otu_tables.py). Thus, we obtained a unique matrix table that reports all the taxonomic assignments and their frequencies obtained by each of the two tools. Subsequently, the diversity analysis was computed on the merged biom table using the related scripts included in QIIME.
QIIME alpha diversity analysis script (alpha_rarefaction.py) performs the rarefaction analysis by subsampling the OTUs biom table on the basis of a minimum rarefaction depth value that is chosen by the user depending on the minimum number of sequences/sample obtained. For our subset, this value was 1,195. Then, using different metrics, the alpha diversity was computed for each rarefied OTUs table (Table 2). We used three “non-phylogeny-based” metrics, namely, the observed species, chao 1 , and the Shannon index . Finally, all the results obtained from each rarefied OTUs table are joined in three global alpha diversity measures, one for each metric used, and converted in .html plots in order to handle and visualize the data.
QIIME beta diversity analysis script (beta_diversity_through_plots.py), after the rarefaction evaluation (this step corresponds to the first step of the alpha diversity workflow), computes the beta diversity on the rarefied OTUs tables using different metrics (Table 2). We used the Bray-Curtismetric . Finally the script uses the obtained distance metric to compute the Principal Coordinate Analysis (PCoA) and to convert it into plots for results visualization.
2.2.5. Data Comparison and Statistical Analysis
We computed the Analysis of Variance (ANOVA)  and the G-test  using a Bonferroni correction  to determine the statistical significance of each taxon assigned by the two tools. In addition, we computed a Pearson Correlation  between the two datasets to correlate the taxa identified at family level. All these tests are available in QIIME using a biom table file as input (Table 2). We performed a nonparametric test  and the ANOSIM  and ADONIS tests [32, 33] to determine the statistical significance related to the diversity analysis.
The 16S rRNA next-generation sequencing run produced 48,545 raw sequences belonging to the 4 samples. We used those sequences as input in both the MG-RAST and QIIME analysis workflows. The time required to complete the analysis was about 10 days for MG-RAST and less than 2 hours for QIIME. This big time difference in both methods can be explained considering the following aspects. MG-RAST is a web server, therefore the analysis time depends on the number of projects simultaneously submitted by different users and on the priority level selected. In particular, for our data we selected the “Lowest Priority” level to keep them private and, of course, this setting requires a longer time. On the contrary, QIIME is an installable software package; in this case, the analysis time depends just on the amount of user data and on his bioinformatic ability. In our dataset, we had just four samples and a skilled user. After the filtering step, we obtained 35,232 and 38,813 postfiltering reads for MG-RAST and QIIME, respectively (Table 1).
Both tools identified 6 main Phyla within the root Bacteria: Actinobacteria, Bacteroidetes, Firmicutes, Fusobacteria, Proteobacteria, and Tenericutes. The number of 16S OTUs assigned to each Phylum is shown in Figure 1(a). Despite some differences between MG-RAST and QIIME, particularly in the Proteobacteria, there were no statistical differences at Phylum level. The observed differences are due to a single sample differently assigned by the two tools but normalized during statistical analysis (ANOVA). The same 16S OTUs distribution at Phylum level is reported also in Log10 scale, showing the 25th, 50th, and 75th percentiles. Minimum and maximum values for each Phylum, as computed by the tools, are shown as whiskers (Figure 1(b)).
At deeper phylogenetic levels, we found some interesting differences in the taxonomic assignment between MG-RAST and QIIME. In particular, 70 distinct bacteria Families were identified by MG-RAST and 123 by QIIME, while when considering only Families with more than 100 sequences, 27 and 30 distinct bacteria Families were identified by MG-RAST and QIIME, respectively (Table 1). The taxonomic composition of our dataset, reported at family level according to the number of 16S rRNAs identified by MG-RAST and QIIME, showed two distinct trends for the two tools (Figure 2). Globally, QIIME assigned higher number of reads to each family than did MG-RAST. In detail, 7 Families were identified with a widely different score Sequences): Bacteroidaceae (Bacteroidetes phylum); Streptococcaceae, Clostridiaceae, and Lachnospiraceae (Firmicutes phylum); Alcaligenaceae, Enterobacteriaceae, and Pasteurellaceae (Proteobacteria phylum). Neither tool was able to assign some of the sequences to the Bacteria root: 605 “No Hits” sequences for MG-RAST and 12 for QIIME. The sequences assigned to the Bacteria root, but with no taxonomical assignment at family level, were reported as “Unclassified”; those sequences were 8,022 for MG-RAST and 525 for QIIME, which was the greatest difference found between the two tools (Figure 2).
Figure 3 shows differences in the diversity analysis carried out by MG-RAST and QIIME. Neither the alpha diversity measured as 16S rRNAs observed OTUs at family level (Figure 3(a)) nor the mean Shannon index score (Figure 3(b)) differed significantly between MG-RAST and QIIME. Similarly, the single rarefaction curves, computed for each sample by Chao1 richness estimator, showed similar trends/sample with the two tools (Figure 3(c)). On the contrary, beta diversity computed with the Bray-Curtis metric showed a significant difference (, ; ADONIS) in the same samples analyzed in duplicate by the two tools (Figure 3(d)).
The aim of this work was to compare the efficiency of the bioinformatic analysis of 16S rRNA next-generation sequencing-based data performed by QIIME and MG-RAST, which are the most frequently cited tools in the context of metagenomic analysis.
We first evaluated the accessibility and ease-of-use of the two tools. MG-RAST is a web platform for automated analysis, while QIIME is an open-source software package. In the former case, the analysis depends on the times of the MG-RAST server and on its data uploading limits. The user has to submit the raw data to the MG-RAST server specifying if the data is private (visible only to the submitter) or public (data will be shared with all MG-RAST users). MG-RAST provides, associated with a priority queue, five different options with different times of analysis. For scientific research purposes, we choose the “Lowest Priority” (data will remain private) option. The time required by the MG-RAST server to complete the analysis is related to the number of jobs submitted by all MG-RAST users in the analysis queue and to the priority level selected. Sometimes this may not be compatible with the researcher’s needs.
QIIME is completely installable and users can start their analysis as soon as the installation is complete (http://qiime.org/install/install.html). However, installation requires some basic informatic knowledge, since several dependencies must be installed separately to use the complete QIIME analysis pipeline. To counteract this limit, QIIME offers various options that can be downloaded free of charge. Once QIIME and all its dependencies are installed, users can start the analysis pipeline. The time necessary to complete installation depends on several factors, mainly the amount of data, the chosen pipeline, and the user’s bioinformatic skills.
To minimize differences between MG-RAST and QIIME, we selected the same parameters for the preliminary analysis. This step includes quality filtering, primer detections, and read demultiplexing. MG-RAST provides a preanalysis step, while QIIME integrates the data in a script (split_libraries.py). For the preanalysis filtering step, both tools require a metadata mapping file in which the user must provide at least the following information: (i) sample ID and barcode; (ii) primer sequences used for the library construction; and (iii) one or more description columns containing metadata information related to the sample. We included the following additional metadata information: age, sex, and treatment type (patient-control). The mapping file must have a specific format to be accepted by both tools; this step may be complex and result in delays before the analysis workflow can even start. To overcome this drawback, MG-RAST provides a template mapping file that users can edit and modify with their own data, while QIIME includes a script (check_id_map.py) that checks the mapping file, identifies errors, and indicates how to solve them.
Identification of 16S rRNAs from a set of quality-filtered sequences can be carried out by MG-RAST only with a limited pipeline (see Section 2.2.2), while QIIME provides three high-level protocols that belong to the OTUs picking procedure: de novo, closed-reference, and open-reference OTUs picking. We choose the de novo OTUs picking method since the dataset was small and in order not to lose any reads.
Taxonomic assignment can be performed by MG-RAST only with BLAT , while several algorithms are available in the QIIME pipeline [34, 35] (Table 1). MG-RAST by default allows the direct use of several 16s rRNA databases (LSU, SSU, M5RNA, RDP, and Greengenes) , but it is not possible to use a custom database. By default, QIIME performs the taxonomy assignment against the Greengenes database, but users may supply a custom database which is made compatible with the assignment algorithm (Table 1). In our dataset, both tools were able to detect 6 different Phyla with a similar identity. Interestingly, there were statistically significant differences in the taxonomic identification at family level. In particular, QIIME more accurately assigned reads to the different families while a lower number of reads were assigned to the categories “No Hits” and “Unclassified” (Figure 2).
After the taxonomic assignment, which gives a picture of the microbial community composition, typically a metagenomic analysis pipeline continues to evaluate the microbial diversity both as alpha diversity (quantitative global diversity within a sample) and as beta diversity (qualitative diversity between a collection of samples) . These parameters are useful to estimate community richness and to establish the degree of similarity of the microbial composition among samples. We obtained similar results with MG-RAST and QIIME in terms of alpha diversity measured with different metrics. However, at beta diversity analysis, different values were assigned to the same subject depending on the tool used for the analysis, even though they were obtained with the same metric (Bray-Curtis). Therefore, it is feasible that this discrepancy results from differences in 16S rRNAs identification and taxonomic assignment. In fact, since QIIME results in a higher accuracy in reads assignment (a lower rate of “No Hits” and “Unclassified”) this is converted into a more complete BIOM file, which is the matrix used for diversity evaluation. Table 3 summarizes the main features of the two tools.
We successfully carried out the comparative metagenomic analysis of the gut microbiome composition in the same subjects using both MG-RAST and QIIME pipelines. Our results showed that the QIIME tool provides a more accurate taxonomic identification which is crucial for the subsequent diversity analysis. In addition, being freely downloadable, it does not depend on server times. Finally, QIIME integrates the BIOM file directly in its pipeline and this option is useful for a wide range of downstream analyses and also speeds up the entire workflow. Less experienced operators, however, may find MG-RAST easier to use than QIIME. Therefore, keeping in mind all the abovementioned features, we suggest that MG-RAST could be useful for first-time-users to familiarize with metagenomic analysis output and criticisms. Upgraded versions of QIIME will follow in the next year, including even more features especially a Graphical User Interface (GUI), that will help non-computer-skilled people to easily analyze their data. Figure 4 summarizes the proposed flowchart.
Conflict of Interests
The authors declare that there is no conflict of interests regarding the work described in this paper.
Valeria D’Argenio and Giorgio Casaburi contributed equally to this paper.
The authors thank Jean Ann Gilder (Scientific Communication srl., Naples, Italy) for editing the text and Vittorio Lucignano, CEINGE-Biotecnologie Avanzate, for technical assistance related to graphics. This work was supported by Grant L.5/95 (to Francesco Salvatore) from Regione Campania; Grant PS 35-126/Ind and Grant PON01_02589 (MICROMAP) 2012 from the Ministry of University and Research (both to Francesco Salvatore); and Grant RF-2010-2318372 from the Ministry of Health (to Francesco Salvatore).
- B. J. Baker, C. S. Sheik, C. A. Taylor et al., “Community transcriptomic assembly reveals microbes that contribute to deep-sea carbon and nitrogen cycling,” The ISME Journal, vol. 7, pp. 1962–1973, 2013.
- L. Philippot, J. M. Raaijmakers, P. Lemanceau, and W. H. van der Putten, “Going back to the roots: the microbial ecology of the rhizosphere,” Nature Reviews Microbiology, vol. 11, pp. 789–799, 2013.
- P. L. Zeeuwen, M. Kleerebezem, H. M. Timmerman, and J. Schalkwijk, “Microbiome and skin diseases,” Current Opinion in Allergy and Clinical Immunology, vol. 13, pp. 514–520, 2013.
- I. Cho and M. J. Blaser, “The human microbiome: at the interface of health and disease,” Nature Reviews Genetics, vol. 13, no. 4, pp. 260–270, 2012.
- S. Fang and R. M. Evans, “Microbiology: wealth management in the gut,” Nature, vol. 500, pp. 538–539, 2013.
- D. Knights, K. G. Lassen, and R. J. Xavier, “Advances in inflammatory bowel disease pathogenesis: linking host genetics and the microbiome,” Gut, vol. 62, pp. 1505–1510, 2013.
- N. Wu, X. Yang, R. Zhang, et al., “Dysbiosis signature of fecal microbiota in colorectal cancer patients,” Microbial Ecology, vol. 66, pp. 462–470, 2013.
- V. D'Argenio, V. Precone, G. Casaburi et al., “An altered gut microbiome profile in a child affected by Crohn's disease normalized after nutritional therapy,” American Journal of Gastroenterology, vol. 108, pp. 851–852, 2013.
- E. S. Gollwitzer and B. J. Marsland, “Microbiota abnormalities in inflammatory airway diseases—potential for therapy,” Pharmacology & Therapeutics, vol. 141, no. 1, pp. 32–39, 2014.
- B. S. Kim, Y. S. Jeon, and J. Chun, “Current status and future promise of the human microbiome,” Pediatric Gastroenterology, Hepatology & Nutrition, vol. 16, pp. 71–79, 2013.
- P. Ribeca and G. Valiente, “Computational challenges of sequence classification in microbiomic data,” Briefings in Bioinformatics, vol. 12, no. 6, pp. 614–625, 2011.
- C. De Filippo, M. Ramazzotti, P. Fontana, and D. Cavalieri, “Bioinformatic approaches for functional annotation and pathway inference in metagenomics data,” Briefings in Bioinformatics, vol. 13, pp. 696–710, 2012.
- F. Meyer, D. Paarmann, M. D'Souza et al., “The metagenomics RAST server—a public resource for the automatic phylogenetic and functional analysis of metagenomes,” BMC Bioinformatics, vol. 9, article 386, 2008.
- J. G. Caporaso, J. Kuczynski, J. Stombaugh et al., “QIIME allows analysis of high-throughput community sequencing data,” Nature Methods, vol. 7, no. 5, pp. 335–336, 2010.
- H. Teeling and F. O. Glöckner, “Current opportunities and challenges in microbial metagenome analysis: a bioinformatic perspective,” Briefings in Bioinformatics, vol. 13, pp. 728–742, 2012.
- J. A. Navas-Molina, J. M. Peralta-Sánchez, A. González, et al., “Advancing our understanding of the human microbiome using QIIME,” Methods in Enzymology, vol. 531, pp. 371–444, 2013.
- W. J. Kent, “BLAT—the BLAST-like alignment tool,” Genome Research, vol. 12, no. 4, pp. 656–664, 2002.
- E. Pruesse, C. Quast, K. Knittel et al., “SILVA: a comprehensive online resource for quality checked and aligned ribosomal RNA sequence data compatible with ARB,” Nucleic Acids Research, vol. 35, no. 21, pp. 7188–7196, 2007.
- R. C. Edgar, “Search and clustering orders of magnitude faster than BLAST,” Bioinformatics, vol. 26, no. 19, pp. 2460–2461, 2010.
- D. McDonald, M. N. Price, J. Goodrich et al., “An improved Greengenes taxonomy with explicit ranks for ecological and evolutionary analyses of bacteria and archaea,” The ISME Journal, vol. 6, no. 3, pp. 610–618, 2012.
- D. McDonald, J. C. Clemente, J. Kuczynski, et al., “The Biological Observation Matrix (BIOM) format or: how I learned to stop worrying and love the ome-ome,” GigaScience, vol. 1, no. 1, article 7, 2012.
- S. F. Altschul, W. Gish, W. Miller, E. W. Myers, and D. J. Lipman, “Basic local alignment search tool,” Journal of Molecular Biology, vol. 215, no. 3, pp. 403–410, 1990.
- Q. Wang, G. M. Garrity, J. M. Tiedje, and J. R. Cole, “Naïve Bayesian classifier for rapid assignment of rRNA sequences into the new bacterial taxonomy,” Applied and Environmental Microbiology, vol. 73, no. 16, pp. 5261–5267, 2007.
- T. C. J. Hill, K. A. Walsh, J. A. Harris, and B. F. Moffett, “Using ecological diversity measures with bacterial communities,” FEMS Microbiology Ecology, vol. 43, no. 1, pp. 1–11, 2003.
- I. F. Spellerberg and P. J. Fedor, “A tribute to Claude-Shannon (1916-2001) and a plea for more rigorous use of species richness, species diversity and the “Shannon-Wiener” Index,” Global Ecology & Biogeography, vol. 12, no. 3, pp. 177–179, 2003.
- E. W. Beals, “Bray-Curtis ordination: an effective strategy for analysis of multivariate ecological data,” Advances in Ecological Research, vol. 14, pp. 1–55, 1984.
- A. Field, “Analysis of variance (ANOVA),” in Encyclopedia of Measurement and Statistics, N. Salkind, Ed., SAGE Publications, Thousand Oaks, Calif, USA, 2007.
- R. R. Sokal and F. J. Rohlf, Biometry: The Principles and Practice of Statistics in Biological Research, Freeman, New York, NY, USA, 1981.
- H. Abdi, “Bonferroni and Šidák corrections for multiple comparisons,” in Encyclopedia of Measurement and Statistics, N. J. Salkind, Ed., SAGE Publications, Thousand Oaks, Calif, USA, 2007.
- V. Bagdonavicius, J. Kruopis, and M. S. Nikulin, Non-Parametric Tests for Complete Data, John Wiley & Sons, London, UK, 2011.
- P. G. N. Digby and R. A. Kempton, Multivariate Analysis of Ecological Communities, Chapman & Hall, London, UK, 1987.
- M. J. Anderson, “A new method for non-parametric multivariate analysis of variance,” Austral Ecology, vol. 26, no. 1, pp. 32–46, 2001.
- M. J. Crawley, Statistical Computing: An Introduction to Data Analysis Using S-PLUS, John Wiley & Sons, 2002.
- P. D. Schloss, S. L. Westcott, T. Ryabin et al., “Introducing mothur: open-source, platform-independent, community-supported software for describing and comparing microbial communities,” Applied and Environmental Microbiology, vol. 75, no. 23, pp. 7537–7541, 2009.
- D. A. W. Soergel, N. Dey, R. Knight, and S. E. Brenner, “Selection of primers for optimal taxonomic classification of environmental 16S rRNA gene sequences,” The ISME Journal, vol. 6, pp. 1440–1444, 2012.
- C. Quast, E. Pruesse, P. Yilmaz et al., “The SILVA ribosomal RNA gene database project: improved data processing and web-based tools,” Nucleic Acids Research, vol. 41, pp. D590–D596, 2013.
- R. H. Whittaker, “Evolution and measurement of species diversity,” Taxon, vol. 21, pp. 213–251, 1972.