INTRODUCTION
Intestinal microbes exist in complex and heterogeneous communities of interacting, taxonomically diverse species. The composition of these communities varies across individuals and is crucial to the health of the host, having been shown in humans and other animals to be correlated with dietary fat uptake (
1,
2), organ development (
3,
4), immune regulation (
5–10), and a wide range of diseases (
11–20).
Despite the importance of intestinal communities, the determinants of their composition remain largely unknown. A growing number of studies map the effects of external perturbations, such as antibiotic drugs (
21,
22) and dietary fiber (
23) and fat (
24,
25), on the relative abundance of gut microbial species. Intrinsic intermicrobial interactions, however, are especially challenging to measure and are important not only for shaping community composition in the absence of perturbations but also for propagating species-specific perturbations to the rest of the intestinal ecosystem.
The considerable majority of studies of the gut microbiota have been performed on naturally assembled microbiomes by sequencing DNA extracted from fecal samples, an approach that provides information about the microbial species and genes present in the gut but that imposes several limitations on the inference of interspecies interactions. The high diversity of natural intestinal communities and, therefore, the low abundance of any given species among the multitude of its fellow residents implies that stochastic fluctuations in each species’ abundance will be large, easily masking true biological interactions. The accuracy of inference is considerably worse if only relative, rather than absolute, abundance data are available (
26–29), as is typically the case in sequencing-based studies. Finally, we note that fecal sampling assesses only the microbes that have exited the host, which may not be representative of the intestinal community (
30).
An alternative approach to using DNA sequencing and naturally assembled host-microbiota systems is to build such systems from the bottom up using model organisms. This is accomplished by using techniques for generating initially germfree animals, and well-defined sets of small numbers of microbial species, and then measuring the populations of these species resident in the intestine. Recent work along these lines has been performed using the nematode
Caenorhabditis elegans (
31) and the fruit fly
Drosophila melanogaster (
32,
33). However, as described further below, these studies imply different principles are at play in the different systems. Moreover, it is unclear whether conclusions from either model platform translate to a vertebrate gut, which has both greater anatomical complexity and more specific microbial selection (
34). To address this, we measure bacterial interactions in larval zebrafish (
Fig. 1A), a model vertebrate organism amenable to gnotobiotic techniques (
35–38), which enabled, in earlier works that investigated pairs of bacterial species, the discovery of specific interbacterial competition mechanisms related to intestinal transport (
39,
40). The experiments described here involve several hundred fish, each with 1 to 5 resident bacterial species, enabling robust inference of interspecies interactions.
The ability to quantify species abundance and to manipulate it by controlled addition or subtraction of species is commonplace in macroscopic ecological investigations. Its implementation here enables connections between intestinal microbiome research and a large literature on ecosystem dynamics. An issue whose importance has been realized for decades is the extent to which interspecies interactions are pairwise additive or whether higher-order (often called indirect) interactions are necessary to explain community structure (
41,
42). The term “higher-order interactions” has been defined in various ways in the ecological literature (
42,
43), in some cases referring specifically to nonadditive changes in a species’ growth rate given the presence of additional species, or to changes in the nature of the interaction between two species induced by additional species. In other cases it refers more generally to any interaction that cannot be captured by a pairwise model. We adopt the latter, commonly used definition, which is agnostic to underlying mechanisms (
44). In our analyses below, we consider various pairwise models and assess their ability to describe data from multispecies communities; mismatch is indicative of the existence of higher-order interactions. Pairwise additivity, if dominant, simplifies the prediction of ecosystem composition, which would be desirable for therapeutic applications of microbiome engineering. Higher-order interactions may stabilize multispecies communities according to several recent theoretical models described further in Discussion (
45–48), implying that quantifying and controlling indirect effects is necessary for reshaping gut microbiomes.
Whether host associated or not, microbial communities have shown a variety of interaction types. A classic study involving cultured protozoan species found good agreement between the dynamics of four-species consortia and predictions derived from measurements of pairs of species (
49). Similarly, Friedman and colleagues showed that the outcomes of competitions among three-species communities of soil-derived bacteria could be predicted simply from the outcomes of pairwise combinations (
50). In contrast, experiments based on the cheese rind microbiome found significant differences in the genes required for a nonnative
Escherichia coli species to persist in a multispecies bacterial community compared to predictions from pairwise coexistence with community members (
51). A closed ecosystem consisting of one species each of algae, bacteria, and ciliate exhibited a strong nonpairwise interaction, in which the bacteria is abundant in the presence of each of the algae or ciliate alone but is subject to strong predation in the three-species system (
52).
Within animals, the interaction types observed in the few studies to date that make use of controlled microbial communities in gnotobiotic hosts are also disparate. Competitive outcomes of three-species communities from subsets of 11 different bacterial species in the gut of the nematode
C. elegans could be predicted from the outcomes of two-species experiments, with indirect effects found to be weak (
31). In contrast, work using well-defined bacterial assemblies of up to five species in the fruit fly
D. melanogaster found strong higher-order interactions governing microbe-dependent effects on host traits, such as life span (
32).
To our knowledge, there have been no quantitative assessments of interbacterial interactions using controlled combinations of microbial species in a vertebrate host, leaving open the question of whether higher-order interactions are strong or whether pairwise characterizations suffice to predict intestinal community structure. Therefore, we examined larval zebrafish, inoculating initially germfree animals with specific subsets of five different species of zebrafish-derived bacteria and assessing their subsequent absolute abundances. Although the number of species is considerably smaller than the hundreds that may be present in a normal zebrafish intestine, it is large enough to sample a range of higher-order interactions yet small enough that the number of permutations of species is tractable.
As detailed below, we find strong pairwise interactions between certain bacterial species. However, we find weaker interactions and a greater than expected level of coexistence in fish colonized by four or five bacterial species. This suggests that measurements of pairwise intermicrobial interactions are insufficient to predict the composition of multispecies gut communities and that higher-order interactions dampen strong competition and facilitate diversity in a vertebrate intestine.
DISCUSSION
Using a model system comprising five commensal bacterial species in the larval zebrafish intestine, we have characterized aspects of gut microbiome assembly. Controlled combinations of inoculated species and measurements of absolute abundance in the gut, both challenging to perform in other vertebrate systems, reveal clear signatures of interactions among species. We find strong, competitive interactions among certain pairs in fish inoculated with two bacterial species. In contrast, pairwise interactions are weak in intestines colonized by four to five species, and all species are present at equal or greater abundance than would be predicted based on two-species data.
Our quantification of interaction strengths relies on a minimal set of assumptions that serve as a general test of additive models. Interaction strengths are necessarily parameters of particular models. We made use of a model in which the log-transformed population of a species is a linear function of the other species’ log-transformed populations and a more general power law model that spans both sublinear and superlinear dependences on population sizes. There are good reasons to be skeptical of such frameworks. First, intestinal populations may not be well described by equilibrium, steady-state values. Second, these models lack spatial structure information.
In vivo microscopy of one or two species in the zebrafish gut (
39,
40,
60) underscores both of these concerns: populations are very dynamic, with rapid growth and stochastic expulsions; interactions can be mediated by complex intestinal mechanics; and aggregation and localization behaviors are species specific.
Imaging, however, provides justifications for these rough models. Prior microscopy-based studies have shown that growth rates are rapid, with populations reaching carrying capacities within roughly 12 h (
39,
60), well below the 48-h assessment time considered here. Because of strong aggregation observed in nearly all bacterial species, most individual bacteria residing in the bulk of clusters will not directly interact with other species, leading to interactions that are sublinear in population size, suggesting a logarithmic or
α < 1 power law functional form. Furthermore, stochastic dynamics can be mapped onto robust average properties for populations (
39,
61). Therefore, it is reasonable to make use of simple models not as rigorous descriptions of the system but as approximations whose parameters characterize effective behaviors. We note that all these issues also affect more commonly used models, such as standard competitive Lotka-Volterra models that are linear in population sizes. These models are often applied to gut microbiome data and used to infer interaction parameters (
26,
62,
63) despite a lack of information about their realism. The power law model of interactions provides the strongest indication of the generality of our conclusions. Over a range of interaction forms extending from highly sublinear (
α = 0.1) to superlinear (
α = 2.0), strong competitive interactions are dampened when four or five species are present (
Fig. 3D), suggestive of higher-order interactions among intestinal bacteria.
The ecological potential for higher-order or indirect interactions, i.e., interactions that cannot be reduced to pairwise additive components but rather result from the activities of three or more species, to be important determinants of community structure has been appreciated for decades (
41,
42,
49). Identification of higher-order interactions among constituent species is important for accurate prediction of responses to ecological perturbations such as species invasion or extinction, as well as functions of multispecies communities, as such features will not be adequately forecast by the examination of direct interactions in subsystems (
41,
64).
Inferring and quantifying indirect interactions in natural ecosystems is, however, challenging, calling for subtle and model-dependent statistical tests (
41,
42,
65). Constructed or manipulated systems enable more straightforward assays in which particular species are introduced or removed amid a backdrop of others. Several such systems involving macroscopic organisms (
66–70), as well as microorganisms (
32,
52), have uncovered significant indirect interactions. However, some studies of microbial communities have found weak or negligible higher-order interactions (
49,
50), including one study examining combinations of species introduced to the
C. elegans gut (
31). The complexity of interactions in a vertebrate gut has remained unclear, and correlation-based methods for inferring interactions from sequencing-based data have assumed that pairwise interactions suffice (
58,
71,
72).
Our measurements using gnotobiotic larval zebrafish, a model vertebrate, show strong pairwise interactions when only two bacterial species are present in the intestine and weak pairwise interactions when four to five species are present, indicating that higher-order interactions are important (
Fig. 3). In many cases, the effect is evident from the raw data itself. For example,
Enterobacter sp. strain ZOR0014 is strongly suppressed by
Aeromonas sp. strain ZOR0001 if the two are inoculated together (
Fig. 2B). Comparing
Enterobacter sp. strain ZOR0014 abundance in fish colonized by all species except
Aeromonas sp. strain ZOR0001 with its abundance in fish colonized by all species, in contrast, shows little difference, indicating that the
Enterobacter sp. strain ZOR0014-
Aeromonas sp. strain ZOR0001 interaction is strongly attenuated by the presence of the other bacterial groups (
Fig. 3A).
Two additional observations also imply the presence of strong higher-order interactions in our intestinal ecosystem. Considering fish colonized by all five bacterial species, the mean abundance of each species is at least as high as would be predicted solely from direct interactions (
Fig. 4D). Moreover, the diversity of bacterial species is higher than would be predicted, as all of the species occur in more than 50% of fish, contrary to prediction (
Fig. 4E). Considering fish colonized by all five bacterial species, the abundance of each species is at least as high and the diversity of bacterial species is higher than the values that would be predicted solely from direct interactions.
Our finding of higher species diversity than expected from pairwise interactions in a system of several gut bacterial species is consistent with recent theoretical studies that suggest, for a variety of reasons, that higher-order interactions are likely to stabilize communities and promote coexistence. The topic of multispecies coexistence has a long history in ecology. Especially since classic work by Robert May showing that a system comprising pairwise interacting constituents will, in general, be less stable as the number of species increases (
73), explaining how complex communities can exist has been a theoretical challenge. There are many resolutions to this paradox, such as spatial heterogeneity, interactions across trophic levels, and temporal variation. However, even without such additional structure, incorporating higher-order terms into general random competitive interaction models leads to widespread coexistence (
45–47). Such large-scale coexistence can also emerge naturally from contemporary resource competition models (
48,
74), in which cross-feeding or metabolic tradeoffs necessarily involve multiple interacting species. Intriguingly, the abundance distributions of all five of our gut bacterial species, when inoculated together, are similar to one another. The average Shannon entropy of the five-species community (H = 1.16 ± 0.24) (see
Text S1 in the supplemental material) also resembles that of a purely neutrally assembled community (H = 1.61), reminiscent of dynamics mimicking neutral assembly that emerge from multispecies dynamics driven by resource use constraints (
48,
75).
Our findings imply that measurements of two-species interactions among microbial residents of the vertebrate gut are insufficient for predictions of community dynamics and composition. Moreover, they imply that inference from microbiome data of interspecies interactions, for example, by fitting Lotka-Volterra-type models with pairwise interaction terms (
26,
62,
63,
76), should not be thought of as representing fundamental pairwise interactions that would be manifested if, for example, the constituent species were isolated but rather as effective interactions in a complex milieu.
Our measurements do not shed light on what mechanisms give rise to higher-order interactions in our system. Likely candidates include metabolic interactions among the species, interactions mediated by host activities, such as immune responses, and modulation of spatial structure by coexisting species. Immune responses are sensitive to specific bacterial species (
77) and to bacterial behaviors (
78). Regarding spatial structure in particular,
in vivo imaging of these bacterial species in monoassociation has shown robust aggregation behaviors that correlate with location in the gut (
54). Given the physical constraints of the intestinal environment, we think that the modification of spatial organization due to the presence of species with overlapping distributions is a likely mechanism for higher-order interactions. Notably, both immune responses and spatial structure are amenable to live imaging in larval zebrafish (
39,
40,
54). Although the parameter space of transgenic hosts, fluorescent labels, and interaction timescales to explore in imaging studies is potentially very large, such future studies are likely to yield valuable insights into the mechanisms orchestrating the strong interactions observed here. Furthermore, examination of the roles of priority effects and other aspects of initial colonization, as well as the stability of diverse communities with respect to invasion, may reveal routes for intentionally manipulating the vertebrate microbiome to engineer desired traits.