Tipping elements in the human intestinal ecosystem — TEI-tagged view

Leo Lahti, Jarkko Salojärvi, Anne Salonen, Marten Scheffer, Willem M. de Vos · 2014 · ecology · doi:10.1038/ncomms5344 · TEI xml · tagged edition · index · concepts · authors
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tipping elements2 tipping point2 alternative stable states bistability4 bimodality intermediate stability potential analysis PSI prediction strength index resilience23 HITChip Human Intestinal Tract Chip UCI UCII BMI3 body mass index3 MetS2 Metabolic syndrome2 FDR2 false discovery rate24 PCA6 principal component analysis37 DIP dual in-line package disruptive selection intestinal microbiota Methanobrevibacter observational-study83

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Leo LahtipersName, Jarkko SalojärvipersName, Anne SalonenpersName, Marten SchefferpersName, Willem M. de VospersName (2014date). “Tipping elements in the human intestinal ecosystem.” Nature Communicationstitle·j.

Object of study — abundance distributions of 130 genus-like bacterial groups in 1,006 western adults

Research question — whether intestinal microbiotaterm·dom vary along smooth gradients or through abrupt switches between alternative stable statesterm·dom

Contribution — bistable bacterial groups are proposed as tipping elementsterm·dom of the intestinal microbiotaterm·dom with health and diagnostic implications

Cross-disciplinary analysis
content-tags & facets: phenomenon · claim-type · cross-domain-transfer · mechanism · claim-relation · replication-status · limitation — grounded in the full text
phenomenonbistable abundance of specific intestinal bacterial groups — “These bacteria are either abundant or nearly absent in most individuals, and exhibit decreased temporal stability at the intermediate abundance range.”
claim-typeexistence — “Here, based on a deep phylogenetic analysis of the intestinal microbiota in a thousand western adults, we identify groups of bacteria that exhibit robust bistable abundance distributions.”
method — evidence — “Here, based on a deep phylogenetic analysis of the intestinal microbiota in a thousand western adults, we identify groups of bacteria that exhibit robust bistable abundance distributions.”
object of study — evidence — “Here, based on a deep phylogenetic analysis of the intestinal microbiota in a thousand western adults, we identify groups of bacteria that exhibit robust bistable abundance distributions.”
research question — evidence — “Here, based on a deep phylogenetic analysis of the intestinal microbiota in a thousand western adults, we identify groups of bacteria that exhibit robust bistable abundance distributions.”
contribution — evidence — “We propose that the bistable groups reflect tipping elements of the intestinal microbiota, whose critical transitions may have profound health implications and diagnostic potential.”
transferfrom climate science: tipping elements — “We have borrowed this analogy from the climate system that is now also believed to have distinct tipping elements 11 .”transfers[0]
transferfrom climatology and forest ecology: potential analysis — “To detect alternative states in the intestinal bacteria, we used potential analysis that was recently applied to study analogous state shifts in climatology and forest ecosystems 13 , 14 .”transfers[1]
mechanismunstable tipping point Alternative states are separated by an unstable region where small fluctuations can trigger an abrupt shift. — “The theory of stochastic dynamical systems predicts 8 that alternative stable states are separated by an intermediate unstable region, called a tipping point, where even small fluctuations may lead to an abrupt, self-propagating shift to an alternative state.”mechanisms[0]
mechanismsubcommunity resilience Resilience of the alternative states depends on factors acting on specific subcommunities rather than the whole ecosystem. — “An important corollary is that the resilience (the capacity to recover from perturbations) of the alternative states will be influenced by a range of factors that may primarily affect specific subcommunities within the intestinal microbiota, rather than the overall ecosystem.”mechanisms[1]
sensetipping elements - a climate-science term reused for loosely coupled bistable bacterial groups — “The emerging picture is that rather than overarching alternative states corresponding to distinct community types, the natural variation of the human intestinal microbiota is reflected in specific bacterial groups representing ‘tipping elements’ that are only loosely coupled”senses[0]
relationPSI —same-as→ prediction strength index — ( ) — “further supported by an alternative approach, the prediction strength index (PSI)” — “the prediction strength index (PSI)”concept_edges[0]
weightPSI —same-as→ prediction strength index — 0.95 — “further supported by an alternative approach, the prediction strength index (PSI)”concept_edges[0]
relationHITChip —same-as→ Human Intestinal Tract Chip — ( ) — “We augmented the phylotype analysis with quantification of methanogenic archaea as this group is not targeted by the Human Intestinal Tract Chip (HITChip) phylogenetic microarray.” — “the Human Intestinal Tract Chip (HITChip)”concept_edges[1]
weightHITChip —same-as→ Human Intestinal Tract Chip — 0.95 — “We augmented the phylotype analysis with quantification of methanogenic archaea as this group is not targeted by the Human Intestinal Tract Chip (HITChip) phylogenetic microarray.”concept_edges[1]
relationBMI —same-as→ body mass index — ( ) — “Among the 1,006 western adults, body mass index (BMI) was negatively associated with UCI and UCII.” — “body mass index (BMI)”concept_edges[2]
weightBMI —same-as→ body mass index — 0.95 — “Among the 1,006 western adults, body mass index (BMI) was negatively associated with UCI and UCII.”concept_edges[2]
relationMetS —same-as→ Metabolic syndrome — ( ) — “Metabolic syndrome (MetS) was positively associated with B. fragilis (false discovery rate (FDR)<5%)” — “Metabolic syndrome (MetS)”concept_edges[3]
weightMetS —same-as→ Metabolic syndrome — 0.95 — “Metabolic syndrome (MetS) was positively associated with B. fragilis (false discovery rate (FDR)<5%)”concept_edges[3]
relationFDR —same-as→ false discovery rate — ( ) — “Metabolic syndrome (MetS) was positively associated with B. fragilis (false discovery rate (FDR)<5%)” — “false discovery rate (FDR)”concept_edges[4]
weightFDR —same-as→ false discovery rate — 0.95 — “Metabolic syndrome (MetS) was positively associated with B. fragilis (false discovery rate (FDR)<5%)”concept_edges[4]
relationPCA —same-as→ principal component analysis — ( ) — “Ecosystem-level investigation based on principal component analysis (PCA; Supplementary Fig. 7 ) and the PSI 10 , 15 indicated two alternative states in the overall microbiota composition, roughly corresponding to low and high Prevotella , in line with previous reports 9 , 10 .” — “principal component analysis (PCA; Supplementary Fig. 7 )”concept_edges[5]
weightPCA —same-as→ principal component analysis — 0.95 — “Ecosystem-level investigation based on principal component analysis (PCA; Supplementary Fig. 7 ) and the PSI 10 , 15 indicated two alternative states in the overall microbiota composition, roughly corresponding to low and high Prevotella , in line with previous reports 9 , 10 .”concept_edges[5]
relationDIP —same-as→ dual in-line package — ( ) — “Moreover, resetting these ‘bacterial dual in-line package (DIP) switches’ may be a radically new way to approach the rapidly growing number of health issues related to the intestinal microbiota, in analogy to the binary DIP switches from early computer era.” — “dual in-line package (DIP)”concept_edges[6]
weightDIP —same-as→ dual in-line package — 0.95 — “Moreover, resetting these ‘bacterial dual in-line package (DIP) switches’ may be a radically new way to approach the rapidly growing number of health issues related to the intestinal microbiota, in analogy to the binary DIP switches from early computer era.”concept_edges[6]
relationdisruptive selection —causes→ bistability — can be induced by — “Bistability in bacterial abundances can be induced by many factors, such as disruptive selection 33 , competition and cooperative feedback loops 34 , or environmentally or genetically determined host factors.” — “Bistability in bacterial abundances can be induced by many factors, such as disruptive selection”concept_edges[7]
weightdisruptive selection —causes→ bistability — 0.7 — “Bistability in bacterial abundances can be induced by many factors, such as disruptive selection 33 , competition and cooperative feedback loops 34 , or environmentally or genetically determined host factors.”concept_edges[7]
replicationoriginal
limitationBimodality is only indirect evidence for bistability. — “Thus, bimodality of states provides only indirect evidence for bistability.”limitations[0]
limitationCausal relations with community composition and host factors need intervention studies. — “Further intervention studies will be needed to address the causal relations with the overall community composition and host factors, and to investigate whether these alternative stable states translate into differential disease susceptibility or drug response of the host.”limitations[1]
limitationThe retrospective design had no power-based sample size and no replicate experiments. — “Due to the retrospective nature of this study, we did not select a particular sample size based on power calculations or related approaches or replicate the experiments but instead included all available data”limitations[2]
Content tags
content-observations: finding · quantity · variable · definition · key-term — grounded in the full text
findingBimodal groups have significantly reduced intermediate stability compared with other taxa. — “Moreover, comparison between the altogether 60 prevalent taxa showed that the bimodal groups had significantly reduced intermediate stability compared with the other groups ( Fig. 4 ; P <0.002; hyper-geometric test).”content_tags.findings[0]
findingBimodality is robust against short-term dietary interventions. — “Analysis of an additional data set of 138 individuals from five dietary intervention trials indicated that the observed bimodality is robust against short-term dietary interventions”content_tags.findings[1]
findingEach age decade raises the odds of the UCI high-abundance state. — “According to a logistic regression model, each age decade increased the odds of the UCI high-abundance state by 2.6±1.2% (95% confidence intervals), but the changes were particularly emphasized in the young and elderly populations.”content_tags.findings[2]
findingBMI is negatively associated with UCI and UCII. — “Among the 1,006 western adults, body mass index (BMI) was negatively associated with UCI and UCII.”content_tags.findings[3]
findingThe alternative states are associated with ageing and overweight. — “However, their contrasting alternative states are associated with host factors such as ageing and overweight.”content_tags.findings[4]
quantity47% — — “On the basis of this analysis, we found 47% of these unique subjects to be carriers of Methanobrevibacter.”content_tags.quantities[0]
quantity2.6±1.2% — — “According to a logistic regression model, each age decade increased the odds of the UCI high-abundance state by 2.6±1.2% (95% confidence intervals), but the changes were particularly emphasized in the young and elderly populations.”content_tags.quantities[1]
variableBMI — “Among the 1,006 western adults, body mass index (BMI) was negatively associated with UCI and UCII.”content_tags.variables[0]
definitiontipping point — “The tipping point is here defined as the particular bacterial abundance value that maximizes the potential function of a bistable system; this corresponds to an unstable threshold between the contrasting alternative stable states, which correspond to the local minima of the potential function.”content_tags.definitions[0]
definitionresilience — “An important corollary is that the resilience (the capacity to recover from perturbations) of the alternative states will be influenced by a range of factors that may primarily affect specific subcommunities within the intestinal microbiota, rather than the overall ecosystem.”content_tags.definitions[1]
key-termstipping elements, alternative stable states, bistability, intestinal microbiota, potential analysis, HITChip, Prevotella, Dialister, resilience, tipping point
Concepts
terms this paper carries, each with the sentence it was cut from — the layer that joins one paper to another. Terms with no quote yet are on CONCEPTS.html.
concepttipping elements — specific components of the intestinal microbiota that exhibit alternative stable states linked to the overall ecosystem state and our physiology — “We propose that the bistable groups we identified represent ‘tipping elements’ 11 , specific components of the intestinal microbiota that exhibit alternative stable states linked to the overall ecosystem state and our physiology.”concepts[0]
concepttipping point — the particular bacterial abundance value that maximizes the potential function of a bistable system — “The tipping point is here defined as the particular bacterial abundance value that maximizes the potential function of a bistable system; this corresponds to an unstable threshold between the contrasting alternative stable states, which correspond to the local minima of the potential function.”concepts[1]
conceptalternative stable states — not defined in this paper's own words; distinct stable configurations of a system separated by tipping points — “In ecology, the concept of alternative stable states separated by tipping points has emerged as a theoretical framework with major practical implications 8 .”concepts[2]
conceptbistability — not defined in this paper's own words; having two alternative stable states — “Thus, bimodality of states provides only indirect evidence for bistability.”concepts[3]
conceptbimodality — not defined in this paper's own words; an abundance distribution with two peaks — “Thus, bimodality of states provides only indirect evidence for bistability.”concepts[4]
conceptintermediate stability — not defined in this paper's own words; how stable abundances are between the low and high states — “Moreover, comparison between the altogether 60 prevalent taxa showed that the bimodal groups had significantly reduced intermediate stability compared with the other groups ( Fig. 4 ; P <0.002; hyper-geometric test).”concepts[5]
conceptpotential analysis — not defined in this paper's own words; a state-identification method from stochastic dynamical systems — “To detect alternative states in the intestinal bacteria, we used potential analysis that was recently applied to study analogous state shifts in climatology and forest ecosystems 13 , 14 .”concepts[6]
conceptPSI — prediction strength index — “further supported by an alternative approach, the prediction strength index (PSI)”concepts[7]
conceptprediction strength index — not defined in this paper's own words; a clustering-based test of bimodality — “further supported by an alternative approach, the prediction strength index (PSI)”concepts[8]
conceptresilience — the capacity to recover from perturbations — “An important corollary is that the resilience (the capacity to recover from perturbations) of the alternative states will be influenced by a range of factors that may primarily affect specific subcommunities within the intestinal microbiota, rather than the overall ecosystem.”concepts[9]
conceptHITChip — Human Intestinal Tract Chip — “We augmented the phylotype analysis with quantification of methanogenic archaea as this group is not targeted by the Human Intestinal Tract Chip (HITChip) phylogenetic microarray.”concepts[10]
conceptHuman Intestinal Tract Chip — not defined in this paper's own words; the phylogenetic microarray used to profile the microbiota — “We augmented the phylotype analysis with quantification of methanogenic archaea as this group is not targeted by the Human Intestinal Tract Chip (HITChip) phylogenetic microarray.”concepts[11]
conceptUCI — uncultured Clostridiales I — “The UCI and UCII refer to the uncultured Clostridiales I and II, respectively.”concepts[12]
conceptUCII — not defined in this paper's own words; the second group of uncultured Clostridiales — “The UCI and UCII refer to the uncultured Clostridiales I and II, respectively.”concepts[13]
conceptBMI — body mass index — “Among the 1,006 western adults, body mass index (BMI) was negatively associated with UCI and UCII.”concepts[14]
conceptbody mass index — not defined in this paper's own words; the host factor negatively associated with UCI and UCII — “Among the 1,006 western adults, body mass index (BMI) was negatively associated with UCI and UCII.”concepts[15]
conceptMetS — Metabolic syndrome — “Metabolic syndrome (MetS) was positively associated with B. fragilis (false discovery rate (FDR)<5%)”concepts[16]
conceptMetabolic syndrome — not defined in this paper's own words; a host health status associated with B. fragilis — “Metabolic syndrome (MetS) was positively associated with B. fragilis (false discovery rate (FDR)<5%)”concepts[17]
conceptFDR — false discovery rate — “Metabolic syndrome (MetS) was positively associated with B. fragilis (false discovery rate (FDR)<5%)”concepts[18]
conceptfalse discovery rate — not defined in this paper's own words; the multiple-testing error rate used to grade associations — “Metabolic syndrome (MetS) was positively associated with B. fragilis (false discovery rate (FDR)<5%)”concepts[19]
conceptPCA — principal component analysis — “Ecosystem-level investigation based on principal component analysis (PCA; Supplementary Fig. 7 ) and the PSI 10 , 15 indicated two alternative states in the overall microbiota composition, roughly corresponding to low and high Prevotella , in line with previous reports 9 , 10 .”concepts[20]
conceptprincipal component analysis — not defined in this paper's own words; the ecosystem-level ordination of microbiota composition — “Ecosystem-level investigation based on principal component analysis (PCA; Supplementary Fig. 7 ) and the PSI 10 , 15 indicated two alternative states in the overall microbiota composition, roughly corresponding to low and high Prevotella , in line with previous reports 9 , 10 .”concepts[21]
conceptDIP — dual in-line package — “Moreover, resetting these ‘bacterial dual in-line package (DIP) switches’ may be a radically new way to approach the rapidly growing number of health issues related to the intestinal microbiota, in analogy to the binary DIP switches from early computer era.”concepts[22]
conceptdual in-line package — not defined in this paper's own words; the early-computer binary switch the paper uses as an analogy — “Moreover, resetting these ‘bacterial dual in-line package (DIP) switches’ may be a radically new way to approach the rapidly growing number of health issues related to the intestinal microbiota, in analogy to the binary DIP switches from early computer era.”concepts[23]
conceptdisruptive selection — not defined in this paper's own words; one of the factors that can induce bistability — “Bistability in bacterial abundances can be induced by many factors, such as disruptive selection 33 , competition and cooperative feedback loops 34 , or environmentally or genetically determined host factors.”concepts[24]
conceptintestinal microbiota — not defined in this paper's own words; the microbial community living in the human intestine — “Here, based on a deep phylogenetic analysis of the intestinal microbiota in a thousand western adults, we identify groups of bacteria that exhibit robust bistable abundance distributions.”concepts[25]
conceptMethanobrevibacter — not defined in this paper's own words; a methanogenic archaeon found in 47% of the subjects tested — “On the basis of this analysis, we found 47% of these unique subjects to be carriers of Methanobrevibacter.”concepts[26]

Full text — tagged

Tipping elementsterm·dom in the human intestinal ecosystem Abstract The microbial communities living in the human intestine can have profound impact on our well-being and health. However, we have limited understanding of the mechanisms that control this complex ecosystem. Here, based on a deep phylogenetic analysis of the intestinal microbiotaterm·dom in a thousand western adults, we identify groups of bacteria that exhibit robust bistable abundance distributions. These bacteria are either abundant or nearly absent in most individuals, and exhibit decreased temporal stability at the intermediate abundance range. The abundances of these bimodally distributed bacteria vary independently, and their abundance distributions are not affected by short-term dietary interventions. However, their contrasting alternative states are associated with host factors such as ageing and overweight. We propose that the bistable groups reflect tipping elementsterm·dom of the intestinal microbiotaterm·dom, whose critical transitions may have profound health implications and diagnostic potential.

The versatile and dynamic microbial ecosystems inhabiting our intestinal tract can have profound impact on well-being and health 1 , 2 , 3 , 4 . Although the compositional and functional properties of the intestinal microbiotaterm·dom have been studied extensively, we have limited understanding of the mechanisms that control this complex ecosystem 5 , 6 . A fundamental question is whether the overwhelming variability of the microbiota composition occurs along smooth phylogenetic gradients or through abrupt switches between alternative stable statesterm·dom 7 . In ecology, the concept of alternative stable statesterm·dom separated by tipping pointsterm·dom has emerged as a theoretical framework with major practical implications 8 .

Here we demonstrate the same properties in the human intestinal ecosystem. While previous studies have focused on analysing ecosystem-wide configurations in human intestinal microbiotaterm·dom 7 , 9 , 10 , our analysis of a thousand western adults shows that there are distinct groups of bimodally distributed bacteria that tend to be either very abundant or nearly absent, and exhibit reduced stability at the intermediate abundance range between these two contrasting states. We propose that the bistable groups we identified represent ‘tipping elementsterm·dom’ 11 , specific components of the intestinal microbiotaterm·dom that exhibit alternative stable statesterm·dom linked to the overall ecosystem state and our physiology. While further studies are needed to establish the possible causal relations, the bistable taxa can serve as indicators of the community state and its potential health associations, and resetting these ‘bacterial switches’ may be a radically new way to approach the rapidly growing number of health issues related to the intestinal microbiotaterm·dom, changing the way we look at management of the intestinal ecosystem.

Results Identification of alternative states To systematically investigate the hypothesis of alternative stable statesterm·dom in the intestinal microbiotaterm·dom, we analysed 130 genus-like phylogenetic groups that cover the majority of the known bacterial diversity of the human intestine 12 ( Supplementary Table 1 ). Our analysis is based on >2,000 standardized phylogenetic microarray hybridizations that represent the faecal microbiota of a thousand adults ( n =1,006; 18–77 years) from 15 western countries (Europe and the United States; see Methods). On the basis of this extensive data collection, we identified several bacterial groups exhibiting robust bimodal abundance distributions ( Fig. 1 ; Supplementary Table 2 ), including Dialisterterm·key spp., relatives of Bacteroides fragilis , Prevotellaterm·key melaninogenica , P. oralis and two groups of the uncultured Clostridiales (UCIterm and UCIIterm; Supplementary Note 1 ). The strongly correlated P. melaninogenica and P. oralis were combined into a single Prevotellaterm·key group ( Supplementary Note 2 ). The other 124 genus-like groups that we investigated were either rare or exhibited symmetric or skewed abundance types ( Fig. 2 ; Supplementary Table 1 ).

The bimodal bacteria. Logarithmic abundance distributions of the six bimodal phylogenetic groups that exhibit robust alternative states of low (blue) and high (red) abundance across intestinal microbiotaterm·dom of 1,006 western adults. The UCIterm and UCIIterm refer to the uncultured Clostridiales I and II, respectively. The frequency of the observations is shown as a function of the phylogenetic microarray log 10 signal 12 .

Bacterial abundance types. Bacterial abundance types include symmetric, skewed and bimodal logarithmic abundance distributions ( Supplementary Table 1 ). The skewed types include prevalent left- and right-skewed types as well as rare bacteria. The bimodal types ( Fig. 1 ) include cases with two distinct peaks, and cases with a peak at low abundance combined with a more widely varying fat tail of high-abundance subjects. The population frequencies of the log abundance across the 1,006 western adults are shown for representative examples from each category: Anaerostipes caccae et rel. (symmetric); Serratia spp. (rare); Streptococcus bovis et rel. (right skewed); Faecalibacterium prausnitzii et rel. (left skewed); P. oralis et rel. (bimodal distribution with two distinct peaks); and uncultured Clostridiales I (fat tailed, bimodal distribution with a variable high-abundance state).

To detect alternative states in the intestinal bacteria, we used potential analysisterm·mth that was recently applied to study analogous state shifts in climatology and forest ecosystems 13 , 14 . This theoretical framework for state identification in stochastic dynamical systems is well suited for studying the remarkably variable intestinal microbiotaterm·dom. We used bootstrap analysis to ensure that the findings were robust to random sampling variations, and selected for further analysis the taxonomic groups that showed consistent evidence for multimodality with a bootstrap support of ≥98% for Dialisterterm·key spp., P. oralis , P. melaninogenica , UCIterm and UCIIterm groups, and 93% for the B. fragilis group. The evidence was the strongest for two alternative states in all these groups, and further supported by an alternative approach, the prediction strength indexterm·mth (PSIterm·mth) 10 , 15 , which provided strong 10 evidence of bimodalityterm·dom (PSIterm·mth>0.90) for Dialisterterm·key spp., UCIterm, UCIIterm and relatives of P. melaninogenica and P. oralis , and a moderate support for the B. fragilis group (PSIterm·mth>0.80).

To control the possibility that the bimodal distributions could be explained by diet or other independent environmental factors due to potentially unbalanced sampling, we confirmed the bimodalityterm·dom in distinct subsets of the data collection, controlled potential cross-hybridization effects between closely related taxa ( Supplementary Note 2 ) and investigated the available host and environmental parameters (see Methods). In all cases, except the B. fragilis group, the bimodalityterm·dom was supported in independent sample sets analysed with different DNA extraction methods, including two sets of samples extracted with different combination of mechanical and chemical lysis steps ( N =401 and N =287). Moreover, the 287 samples were all from central Europe, and thus expected to be less heterogeneous regarding the long-term dietary patterns compared with the entire data collection that included subjects from the United States and from 14 countries in Europe. Since long-term habitual diets are correlated with geographic regions, the verification of bimodalityterm·dom in two different data sets with different geographical distributions supports our conclusions by reducing the possibility that the observed bimodalityterm·dom is driven by country-specific dietary or other life-style differences within the study cohort. Although all DNA preparations were identically processed for the microarray analysis, the verification in independent subsets of the data collection further helps to exclude the possibility that the detected bimodalityterm·dom derives from technical variation in sample processing.

Analysis of an additional data set of 138 individuals from five dietary intervention trials indicated that the observed bimodalityterm·dom is robust against short-term dietary interventions as we did not observe significant population-level differences in the mean abundances between the baseline and post-intervention samples in the bimodal taxa in these studies ( P >0.05; t -test; Benjamini–Hochberg correction; see Methods). Remarkably, the bimodal patterns were also indicated among the 46 placebo-treated control subjects in these controlled dietary intervention trials ( Supplementary Fig. 1 ), further supporting the conclusion that the population-level bimodal patterns and the observed state shifts cannot be explained by short-term dietary differences. Whereas the observed states were robust to short-term dietary interventions, this does not exclude the possibility that targeted dietary interventions could be potentially used to manipulate specific bistable groups. On the basis of the available data collected in intervention trials, a pronounced dietary effect on the bimodal taxa was observed, for instance, on a formula-based weight-loss diet during which 29% (9/31) of the subjects exhibited a switch from the high to the low-abundance state of Dialisterterm·key spp. These profound individual changes were, however, masked by remarkable within-state variation among the other subjects so that the average group-level fold change following the intervention was moderate and only borderline significant (log 10 FC=−0.39; P =0.08; paired Wilcoxon test). Although the observed states appear predominantly robust to dietary variation, we and others have shown that the abundance of the implicated bacteria can be to some extent affected by specific interventions as the quantity and quality of consumed carbohydrates can alter the abundance of Bacteroides and Prevotellaterm·key species 16 , 17 , 18 as well as that of Dialisterterm·key spp. 19 However, the reported changes were relatively small (average |log 10 FC|<0.5) in the bimodal groups that we now report 16 , 17 and thus induced mainly within-state variation according to the present analysis. Hence, further studies are needed to assess the possibility to induce state switches in bistable taxa based on dietary or other interventions.

Temporal dynamics The theory of stochastic dynamical systems predicts 8 that alternative stable statesterm·dom are separated by an intermediate unstable region, called a tipping pointterm·dom, where even small fluctuations may lead to an abrupt, self-propagating shift to an alternative state. While this can give rise to bimodal abundance distributions 8 , as in our reported bimodal bacteria that tend to be either rare or abundant in most subjects, the observed bimodalityterm·dom could also be caused by other factors such as diet or yet unknown host factors, dividing the study cohort into two distinct subpopulations. Thus, bimodalityterm·dom of states provides only indirect evidence for bistabilityterm·dom. In bistable systems, observations in the intermediate region between the alternative states may correspond to subjects in a transitional phase between the states 8 , for instance, due to changes in diet or physiological state. We therefore looked into the temporal dynamics of the states based on a subset of 78 subjects (27–63 years) in our main cohort with additional follow-up samples within 1–9 months from the baseline (see Methods). This complements our cross-sectional analysis that represents a static snapshot of the intestinal ecosystem in each individual. A closer look at the temporal fluctuations ( Fig. 3 ) indicated that subjects closer to the tipping pointterm·dom indeed had larger temporal deviations, suggesting that the intermediate abundances appear less attractive than the contrasting alternative states. We confirmed this by quantifying the stability of bacterial abundances at the intermediate abundance range. The observed deviations from the baseline in the later time points were higher in subjects whose baseline abundances were closer to the intermediate (50%) abundance range, as indicated by significant negative correlation (Spearman’s coefficient ρ ) between these variables for the Dialisterterm·key spp. (−0.54), P. melaninogenica (−0.40), P. oralis (−0.34), UCIterm (−0.37), UCIIterm (−0.53) and B. fragilis (−0.19) groups. These correlations were significant ( P <0.01; upper tail (AS89) test; Benjamini–Hochberg adjustment) for all bimodal groups, except B. fragilis ( P =0.1). Moreover, comparison between the altogether 60 prevalent taxa showed that the bimodal groups had significantly reduced intermediate stabilityterm·dom compared with the other groups ( Fig. 4 ; P <0.002; hyper-geometric test). This observation supports the hypothesis of two alternative stable statesterm·dom of low and high abundance divided by an unstable tipping pointterm·dom at the intermediate abundance range in these taxa, in line with the theoretical predictions outlined above for bistable systems 8 . Furthermore, the comparison between bimodalityterm·dom and intermediate stabilityterm·dom in Fig. 4 suggested the presence of further bistable bacteria (Firmicutes), including Clostridium spp. ( sensu stricto ) and relatives of C. colinum , Lactobacillus plantarum and uncultured Mollicutes, as well as the C. difficile group that exhibits exceptionally low intermediate stabilityterm·dom and a moderate support for bimodalityterm·dom, in line with earlier observations that a small fraction of healthy adults carry C. difficile 20 , one of the members of this group. Toxin-producing derivatives of C. difficile have been identified as the cause of severe and recurrent antibiotic-associated diarrhoea, and recent faecal transplantations have been shown to provide efficient means to manipulate its alternative states and treat the disease, resulting in complete recovery 21 , 22 . It is currently not known whether the alternative states of C. difficile as part of the normal microbiota are associated with the infection risk. While these observations suggest bistable properties for these taxa, we could not confirm their alternative states in the other tests. Furthermore, we analysed the temporal stability of the above-mentioned states, quantified as the fraction of subjects remaining in the initial state after a 3-month interval as estimated by Kaplan–Meier survival analysis (see Methods). The states with higher population frequencies were more stable in general ( Supplementary Fig. 2a ), in line with predictions based on the stationary-state continuous Markov process ( Supplementary Fig. 3 ) and consistent with the idea that changes in species abundance distributions can be used to infer changes in the stability and resilienceterm·dom of alternative states 23 . The high-abundance Prevotellaterm·key group was a notable exception as one of the least frequent but yet one of the most stable states. The alternative states of the reported bistable groups were also more stable than expected based on empirical distributions derived from the unimodal taxa ( Supplementary Fig. 2b ); the Prevotellaterm·key group exhibited less state mixing than any other group (100%), followed by UCIterm (less mixing than in 93% of the comparison groups), Dialisterterm·key spp. (83%) and UCIIterm (78%). The B. fragilis group was again an exception (35%).

Temporal variation. Temporal variation in each bimodal group during the follow-up interval (1–9 months from the baseline for 95% of the subjects, see Methods). Each horizontal line indicates the abundance range of the indicated bacteria for a single subject. The 78 subjects (horizontal lines) are ordered based on their mean abundance. The red lines highlight subjects exhibiting a state shift ( Supplementary Fig. 3 ) across the estimated tipping pointterm·dom (dashed vertical lines). The differences in the follow-up times did not significantly affect the observed fluctuations ( P >0.05; Pearson correlation; Benjamini–Hochberg adjustment).

Bimodalityterm·dom is associated with reduced intermediate stabilityterm·dom. Analysis of the 60 prevalent taxa indicates a group of bistable bacteria with robust bimodal abundance distributions (>90% bootstrap support; vertical axis) and reduced intermediate stabilityterm·dom ( ρ <−0.3; horizontal axis), as also indicated by the corresponding frequency histograms (side panels). The bimodalityterm·dom scores are shown for the 401 samples extracted by mechanical lysis 25 ; the stability estimates are based on the 78 follow-up subjects. The black symbols indicate the bistable groups whose bimodalityterm·dom was supported in multiple data sets, including the Dialisterterm·key spp. (square), P. melaninogenica (large diamond), P. oralis (small diamond), UCIterm (small circle) and UCIIterm (large circle) groups. These show also significantly reduced intermediate stabilityterm·dom compared with the other prevalent groups ( ρ <−0.3; P <0.002; hyper-geometric test). The other bistable taxa (white circles) whose bimodalityterm·dom we could not verify in the other data sets include Firmicutes ( Clostridium spp. ( sensu stricto ), relatives of C. colinum , Lactobacillus plantarum and uncultured Mollicutes). The bimodal B. fragilis group (grey upward triangle) has only moderately reduced intermediate stabilityterm·dom ( ρ =−0.19). The C. difficile group (grey downward triangle) has the third lowest intermediate stabilityterm·dom.

Analysis of individual phylotypes and methanogenic archaea Phylotype-level analysis of the six bimodal groups indicated that the observed bistabilityterm·dom is often associated with particular phylotypes, and absent in others ( Supplementary Figs 4 and 5 ; Supplementary Note 3 ). This could indicate potential antagonism or metabolic specialization between the implicated phylotypes. In certain groups, such as the UCIterm and UCIIterm, the most prevalent phylotypes exhibited stronger bimodalityterm·dom than their higher-level genus-like group ( Supplementary Fig. 4 ). Of the bistable groups indicated in Fig. 4 , only the Dialisterterm·key spp., relatives of P. melaninogenica and P. oralis , and UCIterm/UCIIterm groups, whose bistabilityterm·dom was systematically supported in the different analyses, had prevalent phylotypes according to our criteria. Moreover, we observed notable variation within the genus Prevotellaterm·key as P. ruminicola exhibited only moderate correlation with the combined P. oralis / P. melaninogenica group ( r =0.39). The most strikingly bimodal bacteria were uncultured phylotypes, as in the case of the P. melaninogenica and P. oralis groups, where the type species were detected only at low abundance, but the related uncultured bacteria exhibited bimodal distributions ( Supplementary Fig. 4 ). D. invisus ( Dialisterterm·key spp.) is an example of a cultured species with a strong bimodal abundance distribution ( Supplementary Fig. 5 ).

We augmented the phylotype analysis with quantification of methanogenic archaea as this group is not targeted by the Human Intestinal Tract Chipterm·mth (HITChipterm·mth) phylogenetic microarray. The analysis of alternative states in methanogenic archaea is of interest as the current evidence is inconclusive regarding their prevalence in human populations. Traditionally, only a fraction of individuals have been considered as carriers, but a recent molecular study reported that the dominant archaeon, Methanobrevibacterterm smithii , is present in >95% of individuals 24 . We observed indications of bimodalityterm·dom in Methanobrevibacterterm spp. based on the quantitative PCR-based 25 enumeration, which was available for 53 subjects from our main cohort. On the basis of this analysis, we found 47% of these unique subjects to be carriers of Methanobrevibacterterm. Moreover, the logarithmic abundance distribution ( Fig. 5 ) exhibited clear bimodalityterm·dom, representing carriers and non-carriers. Quantitative PCR-based data for these archaea were available for 452 additional samples from 189 unique subjects, of which 57% were found to be carriers. Among the 53 subjects in common with our main cohort, the abundance of these archaea had moderate positive correlation with the Prevotellaterm·key group ( r =0.32; P =0.02; t -statistics), UCIterm ( r =0.28; P =0.04) and UCIIterm ( r =0.23; P =0.1) groups that we also found to be associated with increased community diversity and metagenomic richness ( Supplementary Fig. 6 ; Supplementary Note 4 ).

Abundance distribution of Methanobrevibacterterm , the dominant methanogenic archaeon in the human intestine. Quantitative PCR-based (qPCR) 25 logarithmic abundance distribution, expressed as 16S rRNA gene copies per gram of faeces, indicates bimodalityterm·dom of this genus. Methanobrevibacterium spp. were detected in 47% of the 53 unique subjects from our main cohort for which the qPCR data were available. For subjects where Methanobrevibacterium spp. were not detected, the abundance is set at the detection limit of the assay. The colours indicate the two groups of subjects where the Methanobrevibacterterm spp. are absent or below the detection limit (blue), or detected (red).

Tipping elementsterm·dom and the ecosystem state While multimodality in specific microbial groups, notably the Prevotellaterm·key genus, has previously been reported 10 , our analysis complements and extends these earlier studies by providing increased phylogenetic depth and sample size, and by suggesting previously unreported taxonomic groups exhibiting bistable properties that associate to the overall intestinal ecosystem state and host health. The six bimodal genus-like groups that we identified exhibited only weak preferences for mutual co-occurrence or exclusion (| ρ |<0.16 among the 401 samples with mechanical lysis; Fig. 6 ), except a positive correlation between UCIterm and UCIIterm ( ρ =0.50) and between P. melaninogenica and P. oralis (ρ=0.97), which we have combined into a single Prevotellaterm·key group. The low- and high-abundance states of the resulting five bimodal groups yield altogether 32 (2 5 ) possible state combinations with varying population frequencies ( Fig. 6 ), suggesting that the alternative stable statesterm·dom associated with distinct subcommunities often coexist in a host in different combinations. We observed, for instance, a substantial overlap between the B. fragilis and Prevotellaterm·key groups, with no significant differences in B. fragilis abundance between the low- and high-abundance Prevotellaterm·key subjects (log 10 FC<0.05; t -test; P >0.05). Similar results on the genus Bacteroides have been reported earlier 26 , in contrast with other studies that have reported a notable trade-off between Bacteroides and Prevotellaterm·key spp 6 , 9 , 27 . The bistable groups also covaried with other bacteria ( Fig. 7 ), suggesting that their state shifts can be associated with wider changes in the overall ecosystem composition, and could be potentially used as indicators of the overall community state. Establishing possible causal relations between the bistable groups and ecosystem composition will require further studies, however.

The tipping elementsterm·dom co-occur in various combinations. The bimodal groups (rows) co-occur in various combinations within the study population. Shading indicates the relative abundance (log 10 ) for each group with respect to the identified tipping pointterm·dom between the alternative states of low (blue) and high (red) abundance. The 1,006 subjects are ordered based on the combination frequencies (top row). The most frequent combination (18%) corresponds to the high-abundance state of the UCIterm, UCIIterm and B. fragilis groups combined with the low-abundance state of the Dialisterterm·key spp. and Prevotellaterm·key groups.

Covariation between the bimodal groups and other taxa. Summary of correlations between the bimodal groups (columns) and the 124 other genus-like groups targeted by the HITChipterm·mth microarray; significant correlations with 25 groups (rows; P <0.05; | r |>0.25; Pearson correlation) were consistently observed in independent sample sets analysed using two different DNA extraction methods (mechanical lysis; n =401 and enzymatic lysis-based method; n =287), and in 100 bootstrap data sets sampled from the overall data collection ( n =1,006). The remaining 99 groups that did not show significant correlations have been removed for clarity. The 32 correlations that were found to be consistently significant in all tests are indicated by ‘+’. Shading indicates Pearson correlation between the taxa across the 1,006 western adults.

Ecosystem-level investigation based on principal component analysisterm·mth (PCAterm·mth; Supplementary Fig. 7 ) and the PSIterm·mth 10 , 15 indicated two alternative states in the overall microbiota composition, roughly corresponding to low and high Prevotellaterm·key , in line with previous reports 9 , 10 . The main principal component explained 16% of the overall variation in the data and exhibited a continuous gradient associated with Bacteroides spp. and relatives of Oscillospira guillermondii and Faecalibacterium prausnitzii . The second principal component exhibited a bimodal distribution associated with the Prevotellaterm·key (relatives of P. oralis and P. melaninogenica) group, explaining 13% of the total variation. We did not observe robust bimodalityterm·dom on the other major principal components. A complementary analysis using the principal coordinates analysis with UniFrac distances 28 yielded similar results, although the bimodalityterm·dom of the second ( Prevotellaterm·key ) principal axis was less pronounced than in the standard PCAterm·mth ( Supplementary Fig. 7 ). Whereas the genus Prevotellaterm·key and Bacteroides spp. have been earlier suggested as drivers of community-level enterotypes 9 , our observations extend and complement this analysis by identifying specific bacteria exhibiting bistable properties within these groups and analysing their temporal dynamics, and by demonstrating that these groups in fact frequently co-occur in a host in varying combinations. The high-abundance state of the Prevotellaterm·key group had the most dominating effect on the ecosystem, with an average relative abundance of 10% among the subjects with the high-abundance state (8 and 2% for the co-occurring P. melaninogenica and P. oralis groups, respectively). Due to their lower relative abundances (≤2% in the high-abundance state) compared with the Prevotellaterm·key group, the bimodal patterns in the B. fragilis , Dialisterterm·key spp., UCIterm and UCIIterm groups are more easily masked by variability in other, more smoothly varying taxa that correlate with these groups ( Fig. 7 ), and hence the alternative states associated with these bacteria are easily overlooked in ecosystem-level analysis. Interestingly, whereas these less abundant groups had more moderate influence at the ecosystem-level variation, their high-abundance states were notably more prevalent compared with the high-abundance state of the more abundant Prevotellaterm·key group, with the following population frequencies: Prevotellaterm·key group (20%), Dialisterterm·key spp. (28%), UCIterm (53%), UCIIterm (57%) and B. fragilis (75%).

We also observed significant associations between the bistable bacteria, community diversity and the overall metagenomic gene richness (Wilcoxon test; P <0.01 for all groups, except B. fragilis ; Supplementary Fig. 6 ; Supplementary Note 4 ) when we incorporated the recently reported metagenomic sequencing data that were available for 255 subjects 29 in our main cohort. In our analysis of these meta-genomes, the high-abundance state of the B. fragilis and Dialisterterm·key spp. groups were found to be associated with a low gene count, in line with their reported association with pronounced metabolic dysfunction 29 . On the contrary, we observed associations between the high-abundance state of the Prevotellaterm·key , UCIterm and UCIIterm groups and the high gene count, which has been linked to a potentially healthy metabolic phenotype 29 . The increased metagenomic richness could be explained by the increased community diversity associated with these taxa; among the bistable groups, the UCIterm and UCIIterm showed the strongest association with the overall community diversity ( ρ =0.5; P <0.001; upper tail (AS89) test). Whereas the community diversity exhibited also mild positive correlation with the Prevotellaterm·key group ( ρ =0.13; P =0.04), the overall community diversity was higher in the subjects with high-abundance UCIterm/UCIIterm than in the subjects associated with high-abundance Prevotellaterm·key ( P <0.001; t -test). The higher diversity associated with the UCIterm/UCIIterm groups (≤2% relative abundance) could be partially explained by the more dominating status of the high-abundance Prevotellaterm·key group (10% relative abundance), which tends to reduce the overall community diversity. We did not observe significant associations between the B. fragilis and Dialisterterm·key spp. groups and community diversity (| ρ |<0.07; P >0.3).

Host factors and health status The emerging picture is that rather than overarching alternative states corresponding to distinct community types, the natural variation of the human intestinal microbiotaterm·dom is reflected in specific bacterial groups representing ‘tipping elementsterm·dom’ that are only loosely coupled, specific components of the intestinal microbiotaterm·dom that exhibit alternative stable statesterm·dom linked to the overall microbiota composition and host factors. We have borrowed this analogy from the climate system that is now also believed to have distinct tipping elementsterm·dom 11 . An important corollary is that the resilienceterm·dom (the capacity to recover from perturbations) of the alternative states will be influenced by a range of factors that may primarily affect specific subcommunities within the intestinal microbiotaterm·dom, rather than the overall ecosystem. Gradual changes in external or internal factors associated with the ecosystem changes may drive the implicated bistable bacteria towards a tipping pointterm·dom where an abrupt shift between the contrasting alternative states may follow 8 , 30 . Our analysis indicates that such shifts are often associated with changes in a wider set of covarying taxa ( Fig. 7 ). One way to infer how resilienceterm·dom of the microbiota might depend on such factors is to use probability densities of bacterial abundance to estimate the basins of attraction. On the basis of this, we can observe, for instance, that a basin of attraction around an apparently resilient high-abundance state of UCIterm arises in late middle age ( Fig. 8 ; Supplementary Table 3 ). This statistically significant association between UCIterm and age ( P <0.05; χ 2 test) suggests that the resilienceterm·dom of the low-abundance state decreases with increasing age, and eventually, even a small perturbation may induce a shift to the high abundance state. Moreover, the analysis shows that population-level variation may mask alternative states that are more pronounced in specific subpopulations, such as particular age groups ( Fig. 8b ). According to a logistic regression model, each age decade increased the odds of the UCIterm high-abundance state by 2.6±1.2% (95% confidence intervals), but the changes were particularly emphasized in the young and elderly populations. These findings are in line with previous studies that have reported notable changes in the overall microbiota composition in the elderly population 27 , 31 , 32 , and with a recent study where differences at the community level were observed between young and elderly adults, but less during the middle age 31 .

Changing state probabilities associated with ageing. ( a ) A schematic illustration of shifting state probabilities in the UCIterm group associated with ageing. The UCIterm abundance data (bottom plane) suggest a catastrophe-fold, where the solid and dashed parts of the curve correspond to stable states and unstable equilibria, respectively. The depth and width of the potential minima indicate decreasing resilienceterm·dom of the system towards the bifurcation points (*) during ageing. ( b ) Observation density in various age groups highlights the associations between the UCIterm state probabilities and age (sample sizes: 220 (18–30 years); 147 (31–40 years); 192 (41–50 years); 258 (51–60 years); 114 (61–70 years); and 19 (71–77 years)). The alternative states of low (blue) and high (red) abundances are here more clearly pronounced than in the population-level histogram pooled over all age groups ( Fig. 1 ).

Overall, we observed a range of statistically significant associations between the bimodal taxa and host factors such as ageing, obesity and health status based on logistic regression ( P <0.05; χ 2 test; see Methods). Among the 1,006 western adults, body mass indexterm·dom (BMIterm·dom) was negatively associated with UCIterm and UCIIterm. Age was positively associated with the UCIterm and UCIIterm, and negatively with the Dialisterterm·key spp. and Prevotellaterm·key groups. Males had higher levels of bacteria belonging to the Prevotellaterm·key group and lower levels of the B. fragilis group compared with women. Regarding nationality, the Prevotellaterm·key group was underrepresented in Nordic and Southern European countries and UCIIterm in South Europe, while the Dialisterterm·key spp. and B. fragilis groups were particularly common in Northern Europe (Scandinavia, UK and Ireland). Analysis of an additional phylogenetic microarray data set derived from subjects with irritable bowel syndrome and severe obesity indicated association between these health complications and the low-abundance UCIterm and UCIIterm (see Methods). Metabolic syndrometerm·dom (MetSterm·dom) was positively associated with B. fragilis (false discovery rateterm·mth (FDRterm·mth)<5%), and showed a trend (FDRterm·mth<20%) towards positive association with Dialisterterm·key spp. and a negative association with the Prevotellaterm·key group ( Supplementary Table 4 ). We did not observe associations between the bimodal groups and type II diabetes, ulcerative colitis or cardiovascular disease in this data collection. Overall, these results suggest that differences in health status can be reflected in changing state probabilities of specific taxa.

In conclusion, these observations provide substantial evidence for bistabilityterm·dom in specific taxonomic groups within the human intestinal microbiotaterm·dom, including Dialisterterm·key spp., the Prevotellaterm·key group and the uncultured Clostridiales groups UCIterm and UCIIterm. These groups exhibited robust bimodalityterm·dom in their abundance distributions, and decreased temporal stability at the intermediate abundance range. A bimodal abundance distribution associated with the B. fragilis group was also observed, but we could not confirm the bistabilityterm·dom of this group in subsequent analyses. Our findings were supported by independent subsets of the data using different DNA extraction methods and geographical distributions, and in additional data sets from dietary intervention trials, including 46 placebo-treated control subjects. Whereas the observed states were robust to short-term dietary differences, which could not explain the observed population-level bimodal patterns, this does not exclude the possibility that targeted dietary interventions could be potentially used to manipulate specific bimodal groups in a personalized manner; we did observe state shifts in individual subjects following dietary interventions, but these changes were masked by the overall within-state variation in the other subjects and did not reach statistical significance in our limited intervention data. The observed patterns were most pronounced in individual phylotypes and in specific subpopulations, such as different age groups, and linked to the overall ecosystem composition and host health.

Discussion Our results demonstrate that despite the dominating nature of gradual variation in bacterial abundances in the intestinal ecosystem, specific bacterial groups form a limited number of contrasting, stable configurations that associate with host physiology and health. Bistabilityterm·dom in bacterial abundances can be induced by many factors, such as disruptive selectionterm·dom 33 , competition and cooperative feedback loops 34 , or environmentally or genetically determined host factors. Hence, we believe that the here identified bistable taxa, together with other microbial co-occurrence relationships 26 , 35 , 36 , will be instrumental in providing insight on the variation, regulation and health implications of the intestinal microbiotaterm·dom. Targeting specific subpopulations, as opposed to the daunting complexity and variability of the entire ecosystem, can simplify the characterization and possible manipulation of the intestinal microbiotaterm·dom. The implicated taxa may allow stratification of the subjects based on alternative states that in parallel to gene richness 29 represent promising novel targets for microbiome-based diagnostics and therapies 37 . Moreover, resetting these ‘bacterial dual in-line packageterm·dom (DIPterm·dom) switches’ may be a radically new way to approach the rapidly growing number of health issues related to the intestinal microbiotaterm·dom, in analogy to the binary DIPterm·dom switches from early computer era. Further intervention studies will be needed to address the causal relations with the overall community composition and host factors, and to investigate whether these alternative stable statesterm·dom translate into differential disease susceptibility or drug response of the host.

Methods Sample collection Phylogenetic microarray data from over 5,000 intestinal samples were available in the in-house MySQL database of the HITChipterm·mth, a phylogenetic microarray 12 . To investigate the microbiota variability in western adult population, we selected from the HITChipterm·mth database 1,006 western adults (18–77 years; average BMIterm·dom 26.7 kg m −2 ; s.d. 5.8 kg m −2 ). To control the potentially confounding effect of other environmental or host factors, we curated the available sample annotations and excluded subjects who had reported diseases or antibiotic treatments, or were living outside western countries (Europe/the United States), and used bootstrap analysis to verify that the results were robust to random sampling fluctuations as described below. A single faecal sample per subject was selected; the first time point was used if multiple samples were available. The subjects cover 15 western countries (Europe and the United States) that were further aggregated into Central European (Belgium, Denmark, Germany, the Netherlands), Eastern European (Poland), Nordic (Finland, Norway, Sweden), South European (France, Italy, Serbia, Spain), UK/Ireland (UK, Ireland) and the United States (the United States) groups. To our knowledge, this is the largest collection of phylogenetic microarray profiling data of the human intestinal microbiotaterm·dom. Due to the retrospective nature of this study, we did not select a particular sample size based on power calculations or related approaches or replicate the experiments but instead included all available data, and performed various statistical tests and verifications in independent subsets of the data to assess the significance and robustness of the findings.

Microbiota profiling Culture-independent techniques for characterizing intestinal microbiotaterm·dom include phylogenetic microarrays and sequencing-based approaches 38 . Phylogenetic microarrays can be used to quantify with high accuracy the known (previously detected) bacteria including the low-abundance phylotypes that often remain undetectable with conventional sequencing depths 39 . Our analysis is based on the phylogenetic HITChipterm·mth microarray 12 , produced by Agilent Technologies (Santa Clara, CA, USA), that provides a sensitive analysis platform to assess differences in relative abundance of intestinal bacteria. The HITChipterm·mth microarray targets the V1 and V6 hypervariable regions of 16S rRNA gene, and can detect 1,033 species-like bacterial phylotypes (>98% sequence similarity in the 16S rRNA gene) that represent the majority of the bacterial diversity of the human intestine 12 . For the analyses, hybridization signals were summarized to 130 genus-like phylogenetic groups (>90% sequence similarity in the 16S rRNA gene) that are referred to as species and relatives, the latter being shortened as ‘ et rel. ’ 12 . The HITChipterm·mth microarray allows highly reproducible (98±2% Pearson correlation across technical replicates) and deep analysis (reproducible detection of phylotype abundances below a 0.1% relative abundance level) of the phylotype composition of intestinal samples, comparable to 200,000 next-generation sequencing reads per sample 39 . Hence, the standardized analytical pipeline for the HITChipterm·mth microarray data collection provides advantage over sequencing-based approaches, where the comparable collections of intestinal microbiotaterm·dom profiling data are smaller, and integration of data from individual studies is more challenging, for example, due to the use of different primers, continuously changing sequencing platforms and protocols. The faecal samples, collected in the context of clinical trials, were typically taken at home, frozen at −20 °C, delivered to the study centre within 24 h and stored at −80 °C. The DNA was extracted and prepared by amplification of the full-length 16S rRNA gene, followed by transcription and labelling of the resultant RNA with Cy3 and Cy5 before fragmentation and hybridization on the array 12 . The signal intensity data from the microarray hybridizations were collected using the G2505C scanner by Agilent and preprocessed using an in-house MySQL database and custom R scripts. Each scanner channel from the array was spatially normalized using polynomial regression, followed by outlier detection and filtering in each set of probes with a χ 2 test. The intensities were sample-wise quantile normalized and averaged to a single value for each probe–sample pair. Each sample was hybridized on at least two replicates to ensure reproducibility. Between-sample normalization was performed at probe level with the min–max normalization using 0.5% quantiles estimated from the data. Each targeted genus-like group is probed by multiple (median 19) oligos. Logarithmized (log 10 ) signal of the probes targeting the same phylotype were summarized with Robust Probabilistic Averaging 40 , 41 (fRPA; RPA R package). The log 10 -transformed signals were used as a proxy for bacterial logarithmic abundance. As a proxy for relative abundance, we used the fraction of the total probe signal calculated for the probes targeting a given taxonomic group.

Bacterial abundance types We categorized the 130 genus-like groups into characteristic ‘abundance types’ to gain an overview of their overall population-level variability. The abundance types included rare taxa and prevalent taxa with symmetric, (left- and right-) skewed and bimodal distributions ( Fig. 2 ; Supplementary Table 1 ). The bimodal taxa were identified as described below, including verification in multiple data sets. For the other genus-like groups, the categorization was based on the 401 unique subjects whose faecal samples were processed with the repeated bead beating protocol that is based on mechanical cell disruption method for DNA extraction, and that we have found to be superior to alternative methods in terms of DNA extraction efficiency 25 . Altogether, 60 bacterial groups were abundant and prevalent, exceeding HITChipterm·mth log 10 signal of 3.0 in >20% of the subjects; the remaining 70 groups were considered rare. The 34 prevalent groups with symmetric log abundance (absolute skewness <0.5; e1071 CRAN R package) exhibited relatively constant logarithmic abundances across subjects, fluctuating symmetrically around a mean value. The skewed types included both rare and prevalent bacteria with both left- and right-skewed types (skewness <−0.5 and >0.5, respectively).

Potential analysisterm·mth We used potential analysisterm·mth as the primary state identification method. This approach is based on the theory of stochastic dynamical systems, and was recently applied to identify alternative stable statesterm·dom in climatology and forest ecosystems 13 , 14 . In the following, we provide a brief summary of the underlying theory and assumptions.

Let us assume an underlying stochastic system that has a potential function of the form where U ( z ) is the potential function, z is the state variable (in our case, the microbe log 10 abundance), σ is the noise level and d W is a noise term (Wiener process). The minima of the potential function correspond to stable states of the system. The corresponding Fokker–Planck equation connects the potential of this model to the probability density of the state variable z . The potential U is given by: where p d is the empirically estimated probability density function of the state variable z . An example of the estimated probability density for the bimodal Dialisterterm·key spp. in our data is shown in Supplementary Fig. 3 . As our primary interest is in qualitative analysis of the potential function shape, we scaled the potential to the noise level ( U / σ 2 ) (ref. 13 ). We estimated the probability density with Gaussian kernels (the R density function) and automated kernel width adjustment with Scott's method 42 (the bw function in the R stats package), giving the bandwidth h =1.06 s / n 1/5 , where s is the s.d. of the data points and n is the sample size. We adjusted this bandwidth with a factor of 0.8 to achieve more sensitive detection of multimodality. We estimated the local minima and maxima numerically and reduced spurious findings by requiring that the difference between local minima and the closest maxima was larger than a threshold value 13 (0.005 in our analysis) and with a minimum density of 0.1. We used the number of local minima of the potential function to quantify the number of distinct modes 14 .

Bimodalityterm·dom detection We implemented the potential analysisterm·mth as a state detection methodology 13 , 14 in the earlywarnings R package ( http://www.early-warning-signals.org/ ; v. 1.0.59; livpotential_ews function). To avoid spurious findings associated with random sampling fluctuations and to quantify the robustness of bimodal patterns, we repeated this analysis in 100 bootstrap data sets, and selected for further analysis the taxonomic groups that exhibited consistent evidence for multimodality in ≥90% of the bootstrap data sets ( Supplementary Note 5 ). While the estimated number of modes in some cases varied between the bootstrap data sets, the evidence was the strongest for two alternative states in all multimodal groups. Hence, we used the overall fraction of bootstrap samples that indicated deviation from unimodality to quantify the evidence for bimodalityterm·dom. Our sample collection included samples from multiple studies extracted using different DNA extraction methods, which could affect bimodalityterm·dom detection in a taxon-specific manner 25 . To control this, we confirmed the bimodalityterm·dom of the reported six bimodal groups in the subset of 401 samples extracted using the mechanical lysis-based DNA extraction method (repeated bead beating) 25 . We also assessed bimodalityterm·dom in the subset of 287 samples processed using enzymatic lysis. The UCIIterm group had a moderate (83%) bootstrap support for bimodalityterm·dom, whereas bimodalityterm·dom of the B. fragilis group was not supported in this smaller data set (31% bootstrap support). The bimodal patterns in Dialisterterm·key spp., P. melaninogenica , P. oralis and UCIterm were verified in 100% of the bootstrap samples also in this data set. For the final analysis, we included the B. fragilis , Dialisterterm·key spp., P. melaninogenica , P. oralis , UCIterm and UCIIterm groups whose bimodalityterm·dom was detected in the overall data collection and in at least one of the two distinct DNA extraction method subsets with >90% bootstrap support ( Supplementary Note 6 ). An independent analysis of bimodalityterm·dom in these univariate observations of bacterial abundance was performed using the PSIterm·mth (with M =20 random splits into training and test sets; fpc R package) based on the partition around medoids clustering and Euclidean distance 10 , 15 .

Tipping pointterm·dom The tipping pointterm·dom is here defined as the particular bacterial abundance value that maximizes the potential function of a bistable system; this corresponds to an unstable threshold between the contrasting alternative stable statesterm·dom, which correspond to the local minima of the potential function. The potential minima and maxima were determined by potential analysisterm·mth. We used the average over the different bootstrap data sets as the final tipping pointterm·dom estimate; this provides increased robustness against random sampling fluctuations.

Temporal analysis To investigate the temporal stability of the observed alternative states, we analysed 78 subjects from the main cohort with additional follow-up data from dietary intervention trials; 28% of the follow-up samples were subject to dietary intervention but no significant changes following the dietary intervention were seen in the bimodal taxa, except for the UCIterm and UCIIterm groups ( P <0.05; t -test). The median age of the subjects was 49 years (27–63 years); the median BMIterm·dom 33 kg m −2 (18–43 kg m −2 ); most subjects ( n =65; 86%) were females from Finland ( n =43; 55%) and Belgium ( n =32; 41%); and 81% of the subjects had 2–3 time points; the remaining 19% had 4–5 time points. Most (95%) time points were within 1–9 months from the baseline (mean 3.5 months), with the average follow-up interval (time between consecutive time points) of 2.4 months. Despite some variability between subjects, the follow-up times were within a similar time span and the differences in the follow-up times did not explain differences in the observed fluctuations between time points, as these two variables were not significantly correlated in our data (| ρ |<0.05; P >0.05; upper tail (AS89) test). We quantified the stability at the intermediate abundance range by calculating the correlation between the distance from the intermediate (50%) abundance quantile and the observed shift between the consecutive time points; negative correlations indicate instable regions where larger shifts in microbial abundance are observed on average. In addition, we approximated the state shift frequencies in subjects with varying follow-up times based on Kaplan–Meier survival analysis (the survival R package), which gives an estimate of the fraction of subjects remaining in their initial state as a function of time based on limited observations with varying follow-up times. We used the estimated fraction of subjects remaining in their original state at the 3-month time point to quantify state stability ( Supplementary Note 7 ). Since the observed state shifts could arise from natural, continuous fluctuations in bacterial abundance rather than abrupt shifts between alternative stable statesterm·dom, we used the same procedure to estimate how often state shifts would be observed in the other prevalent taxa based on simulated states of low and high abundance based on the same abundance quantiles to determine the ‘tipping pointterm·dom’ between the two states, and compared the bistable groups with the other prevalent taxa ( Supplementary Fig. 2b ).

Community-level analysis We assessed the evidence for alternative states at the overall ecosystem level based on PCAterm·mth ( Supplementary Fig. 7a ) and the partition around medoids multivariate clustering with Jensen–Shannon dissimilarity, coupled with the PSIterm·mth to determine the optimal cluster number as this combination was earlier shown to have a good overall performance 10 ( Supplementary Note 8 ). In addition, we used principal coordinates analysis (that is, classical multidimensional scaling; cmdscale function of the R stats package) 43 as a complementary nonlinear approach for community-level visualization 10 based on generalized UniFrac distances 28 (GUniFrac function of the R GUniFrac package 44 ) that take into account the phylogenetic structure of the community, quantified by HITChipterm·mth probe-level analysis ( Supplementary Fig. 7b ).

Short-term dietary interventions Whereas dietary information was not available for our main data set, we analysed the effects of short-term dietary interventions in an additional data set from the HITChipterm·mth database consisting of 138 subjects sampled during dietary intervention studies, including three previously published 16 , 17 , 45 and two unpublished dietary intervention trials: (i) 52 Finnish adults fulfilling the criteria for MetSterm·dom that were subjected to qualitative changes in carbohydrate intake 16 (50% of the samples in a control group); (ii) 33 obese Belgian women from a prebiotic (inulin-type fructan) intervention study 45 (50% of the samples in a control group); (iii) 31 obese Finnish subjects with weight-loss diet (HITChipterm·mth project ‘ISRCTN67529475’); (iv) 8 Norwegian subjects with a vegan diet (HITChipterm·mth project ‘Vegan’); and (v) 14 obese British males with fibre-supplemented and weight-loss diets 17 . In addition to the dietary intervention subjects, this data collection included 46 placebo-treated control subjects.

Associations with host parameters We quantified associations between the bimodal taxa and host factors by using subject metadata (age, BMIterm·dom, sex, nationality) and DNA extraction method as fixed effects in multiple logistic regression to predict the state of the corresponding bacteria in each subject. The significance of each parameter was estimated by log-ratio ( χ 2 ) test comparing the models with and without the corresponding factor in predicting the state (the GLM function in the R stats package). Missing annotations were omitted, and the FDRterm·mth was estimated to correct for multiple testing based on the Benjamini–Hochberg method with the p.adjust function (R stats package).

Health associations To investigate the associations between the alternative states and health status, we compared the 1,006 adults with no reported health complications with additional samples in the HITChipterm·mth database representing western adults with irritable bowel syndrome ( n =106), MetSterm·dom ( n =66), type II diabetes ( n =78), ulcerative colitis ( n =62) and cardiovascular disease ( n =45). In addition, we divided the non-compromised subjects into severe obese (BMIterm·dom≥35; n =136) and other (BMIterm·dom<35; n =870) subjects. We used multiple logistic regression to predict disease occurrence from logarithmic abundance of each bimodal bacterial group. The DNA extraction method, age, BMIterm·dom and sex were included in the model as potentially confounding variables. The P values from log-ratio test were corrected using the Benjamini–Hochberg procedure. For exploratory purposes, associations with FDRterm·mth<20% were considered to establish a trend and FDRterm·mth<5% to be significant ( Supplementary Table 4 ). We compared the performance of the logistic regression model with and without bacterial abundance based on receiver operator characteristic analysis to detect disease occurrence; the average area under curve (AUC) values were derived from fivefold cross-validation. While our analysis suggests significant association between MetSterm·dom and specific taxa, the differences in the AUC values between the models with and without bacterial abundance were small (0.1 increase with bacterial abundance) in the MetSterm·dom group, indicating limited predictive ability in our data to distinguish the effects of MetSterm·dom from the effects of age, sex and BMIterm·dom. In severe obesity, inclusion of bacterial abundance notably improved disease prediction (AUC 0.58 versus 0.69 for UCIterm; 0.60 versus 0.68 for UCIIterm).

Author contributions L.L., M.S. and W.M.d.V. designed the study. L.L. carried out data processing and statistical analysis, coordinated the study and prepared the manuscript. A.S., L.L., J.S. and W.M.d.V. contributed to acquisition of data. J.S. contributed to data analysis. All authors contributed to interpreting the results and writing the manuscript.

Additional information Accession codes : The phylogenetic HITChipterm·mth microarray data matrix and anonymized subject metadata have been deposited in the Dryad Digital Repository: http://doi.org/10.5061/dryad.pk75d How to cite this article: LahtipersName, L. et al . Tipping elementsterm·dom in the human intestinal ecosystem. Nat. Commun. 5:4344 doi: 10.1038/ncomms5344 (2014).

Supplementary Material Supplementary Figures 1-7, Supplementary Tables 1-4, Supplementary Notes 1-8 and Supplementary References Acknowledgments We thank Outi Immonen, Philippe Puylaert and Jarmo Ritari for technical support with the HITChipterm·mth data analysis, and Vasilis Dakos and Erwin Zoetendal for their feedback. This work was supported by Academy of Finland (256950 to L.L.; 141140 to W.M.d.V.); European Research Council (ERC250172 to W.M.d.V.; ERC268732 to M.S.); Spinoza Awards and Gravitation Programmes, Netherlands Organization for Scientific Research (2008/2014 to W.M.d.V.; 2009/2014 to M.S.); and Alfred Kordelin foundation (to L.L.).

References Associated Data Supplementary Materials Supplementary Figures 1-7, Supplementary Tables 1-4, Supplementary Notes 1-8 and Supplementary References

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