INTRODUCTION
Predators can impose top-down control of ecosystems, impacting species abundances, community structure, and community function (1). For example, in marine environments, lytic bacteriophages (phages), the viral predators of bacteria, are critical drivers of microbial populations and nutrient cycling, lysing up to 40% of phytoplankton biomass per day (2). The diet breadth of predators—how many different prey species they can consume—is an important component of how top-down control shapes an environment (Fig. 1A) (3–8). Specialist predators often drive limit cycles with their prey, while generalists are more likely to stabilize prey populations through the emergence of apparent mutualisms, in which the presence of one prey species reduces the burden of predation on the other (9–14). Diversity in specificity is widespread in microbial communities, where some phages are generalists that can prey upon bacterial species across multiple genera, while others specialize on a single serovar (15, 16). There are likely many determinants of phage specificity, particularly in coevolving communities, as bacterial prey develop mechanisms either to block phage adsorption (e.g., loss of receptors) or prevent phage replication (e.g., clustered regularly interspaced short palindromic repeats [CRISPR], superinfection immunity) (17) and phage evolve to overcome these resistance mechanisms, often with pleiotropic costs for host range expansion (18). Identifying the key forces shaping predator diet breadth, as well as their relative importance, would therefore have substantial consequences for our ability to predict the long-term dynamics of multitrophic microbial communities.
Fig 1
Specificity in a microbial synthetic community. (A) Schematic of diet breadth in macropredators. Species with generalist diets have wide diet breadths spanning multiple resources, while specialists have narrower diet breadths, sometimes specific to a single resource. (B) Expected community dynamics when mutualistic or competing prey species are challenged by a specialist predator. When prey are mutualistic, predation will reduce abundances of both species. When prey compete, predation will reduce the abundance of one species and result in an increase in the abundance of the other species through competitive release. (C) Schematic of cross-feeding system consisting of an
The composition of the prey community is one force known to impact predator specificity. The evolution of generalist predators often requires prey heterogeneity to provide opportunities for diversification (19–24). While it has been suggested that prey diversity could reduce the incidence of predator generalism given the demands of engaging in coevolutionary arms races with multiple species (25), microbial studies have shown that the presence of multiple bacterial strains is sufficient to select for generalists (19, 26). Assuming a heterogenous prey environment, optimal foraging theory provides several additional predictions of how the structure of prey communities might shape predator diet breadth. First, it suggests that absolute prey densities alter selection on predator specificity by impacting foraging time (27). Generalism is predicted to be favored at low prey densities when foraging time is high, while specialism is favored at high prey densities; this prediction has been validated in a microbial system (27). Optimal foraging theory also emphasizes the importance of relative prey abundances, such that predators should experience selection to exploit the most abundant prey types, even if those prey are low quality or intraspecific competition between predators is strong (22, 23, 28, 29). However, even when relative abundances are considered, most studies on diet breadth assume a static ratio of prey types over time, omitting a critical dimension of natural communities.
Interactions between prey complicate the assumption of static ratios by generating correlations between prey abundances (30–32). Nutrient competition between bacteria tends to generate anti-correlated abundances between species, while positive interactions such as obligate mutualism generate positively correlated abundances (29–32). When predators are consuming prey species with anti-correlated abundances, a generalist strategy is likely to be favored, because predation on one species should lead to an increase in the abundance of the alternative prey through competitive release (Fig. 1B). The expectation that competing prey should favor predator generalism is consistent with
Here, we use a mathematical model and an
RESULTS
In a phenomenological model, phage relative abundance depends on prey interactions and fitness trade-offs for phage generalism
We used a phenomenological model (Fig. 1D; Materials and Methods) to predict how communities of two interacting prey species respond to attack by predatory lytic phage during chemostatic growth. We predicted that competition between prey was likely to favor predator generalism by increasing temporal heterogeneity in resource availability (38, 39), while obligate mutualism between prey species would result in less temporal heterogeneity, as bacterial species would either occur together or not at all, likely favoring specialization (38).
We first investigated the behavior of the model with a single parameter set. Using our default parameters (Table 1), we examined cases in which phage were not present, or when only one phage type was present. When phage were not modeled in our system, prey species reached a 50:50 ratio at equilibrium (Fig. 2A, left panel). The introduction of a specialist resulted in competitive release of
TABLE 1
Dimensionless phenomenological model parameters, default values, and descriptions
Parameter | Competition default value | Mutualism default value | Description |
---|---|---|---|
| 1 | 1 | Mutualistic coefficient, benefit of prey species |
| 1 | 0 | Competition coefficient, effect of prey species |
| 1 | 1 | Mutualistic coefficient, benefit of prey species |
| 1 | 0 | Competition coefficient, effect of prey species |
| 0.5 | 0.5 | Maximum intrinsic growth rate of prey species |
| 0.5 | 0.5 | Maximum intrinsic growth rate of prey species |
| 20 | 20 | Burst size of generalist phage on prey species |
| 20 | 20 | Burst size of specialist phage on prey species |
| 20 | 20 | Burst size of specialist phage on prey species |
| 0.001 | 0.001 | Attachment rate of generalist phage on prey species |
| 0.001 | 0.001 | Attachment rate of specialist phage on prey species |
| 0.001 | 0.001 | Attachment rate of specialist phage on prey species |
| 0.03 | 0.03 | Intrinsic death rate of prey species |
| 0.03 | 0.03 | Intrinsic death rate of prey species |
| 0.03 | 0.03 | Intrinsic death rate of generalist phage |
| 0.03 | 0.03 | Intrinsic death rate of specialist phage |
| 0 | 1 | Half-saturation constant of species |
| 0 | 1 | Half-saturation constant of species |
| 2 | 1 | System carrying capacity |
Fig 2
Numerically simulated bacterial dynamics demonstrate that competing prey provide a different selective environment for phage than mutualistic prey. (A) In the absence of phage, both prey species reach an equilibrium ratio of 50:50. In the presence of only a specialist phage, the prey attacked by the specialist (pink line,
To further understand the behavior of the model when phage phenotypes competed against one another, we sought to simplify the system, applying
In accordance with
(5)
leads to
(6)
This analysis therefore suggested that the specialist phage could dominate (i.e., have the lower
To verify the intuition of our
Fig 3
End points of numerically simulated phage dynamics given a variety of parameter trade-offs demonstrate that prey interactions result in different patterns of predator abundance. (A) The final density of each phage type as a function of bacterial interactions and increasing cost of generalism modeled as increasing specialist burst size. When prey are mutualistic, a relative burst size above 2.1 favors specialist phage (blue line, P22
To visualize the next prediction of our
Finally, to ensure that our tested parameters captured the fundamental behavior of the model, we performed two sensitivity analyses—a Morris screening and a Sobol variance analysis—to determine which parameters had the largest impact on the final biomass of each phage type. In the case of both obligate mutualism and competition, Morris screening methods suggested that the death/dilution rate, burst size and attachment rates of both phage, and the interaction parameters for the microbial species were of greatest impact (Table S1). The variance-based Sobol method reinforced the importance of dilution rate (Table S2). These results were consistent both with the parameters identified by fixed point analysis, our
Phage relative abundance
Using our wet-lab experimental cross-feeding system, we tested the mathematical prediction that generalist predators would be favored on competing prey and specialist predators would be favored on mutualistic prey. We first verified that over 48 hours, our specialist phage (P22
Fig 4
Phage and bacterial dynamics
We also evaluated population dynamics when the two phages competed against one another (Fig. 4B through D). When both phage were present in competitive co-culture, the generalist reached a higher final density than the specialist (Fig. 4B,
To understand our inability to detect the generalist phage in mutualistic co-culture at the end of our experimental window, we investigated the ability of each phage to reproduce on starved cells by adding phage to monocultures in lactose minimal media as described in Materials and Methods. When placed in wells without bacterial cells or with starved
Fig 5
Imposing a cost of generalism
In comparison, the generalist phage EH7 decreased in abundance in all conditions after the 48-hour growth period. There were no detectable infectious phage particles in wells without cells or with starved
Interestingly, these results are specific to minimal media, as EH7 does not degrade in LB (Supplemental analysis; Fig. S2; Table S5). We were not able to identify which component of our minimal media was responsible for the degradation of the phage, though it does not appear to be related to the presence of metals or the result of osmolarity (Supplemental analysis; Fig. S2).
The generalist is favored in competition even when a cost is imposed
The
Therefore, to impose a cost of generalism across all treatments that more closely matched that observed in the mutualistic co-culture, we repeated our phage competition assay experiments by incubating the phage for 24 hours prior to the addition of cells, anticipating that some degradation of the generalist EH7 would occur, while the titer of P22
When this cost was imposed and phage were competed on
In a phenomenological model, prey interactions determine the intrinsic death rate needed to favor specialism
Finally, we amended our model to see if we could replicate the results of our initial
We observed that, when fitness cost was modeled as increased mortality, our qualitative results matched those when fitness cost was measured as burst size or attachment rate (compare Fig. 6 with Fig. 3A and Fig. S1A, respectively). The generalist phage could be maintained on competing prey even as its mortality rate increased significantly; competition with the specialist phage decreased the abundance of the generalist, but competitive release of
Fig 6
When a cost of generalism is modeled as intrinsic mortality, qualitative patterns of ecological selection on predator specificity match findings when cost of generalism is modeled as burst size (Fig. 3) or attachment rate (Fig. S1). As the intrinsic mortality rate of the generalist phage increases, it maintains its advantage longer when prey compete and is driven extinct at a minimal cost when prey are mutualistic. These qualitative results align with previous modeling findings when cost of generalism is imposed as burst size or attachment rate. For these analyses, the intrinsic mortality rate of the specialist was set to 0.0067, with the generalist’s mortality rate increased relative to that value. All other default parameter values can be found in Table 1.
DISCUSSION
We aimed to determine whether ecological interactions between bacterial prey species impacted the abundance of phage with different specificities. We developed a simple four-species phenomenological model composed of two interacting bacterial species, a specialist phage, and a generalist phage. Using this chemostatic model, given a cost of generalism, we found that specialist phage were favored when prey are mutualistic, while generalist phage were favored when prey compete. These qualitative results were largely robust to initial conditions, suggesting that they may be both ecologically and evolutionarily informative. We found that our modeling predictions were well-matched by the outcome of batch culture experimental phage competition assays. The alignment between outcomes in our model and our system was observed despite differences in the mechanisms driving the cost of generalism. In our model, a cost of generalism was imposed as either a lower burst size or worse attachment rate and was assumed to be static over time.
Our modeling results suggest that interactions between bacterial prey impact the prevalence of phage specificity phenotypes when a cost of generalism exists. Experimental evolution has previously shown that the presence of different types of resources can select for generalism (6, 19, 40). Both absolute and relative prey densities are relevant predictors of phage specificity (22, 23, 27, 28). However, while much of the previous work done on diet breadth has assumed a constant relative abundance of available prey, our model upended that assumption by allowing relative prey abundances to vary as a function of prey ecology. Previous theoretical modeling has demonstrated that resource competition between prey species can select for expanded predator diet breadth even when trade-offs for generalism exist, although this result generally required the competitive dominance of the novel prey source (29, 34). Our results align with these findings, underscoring that resource competition should favor a generalist strategy in most cases, even when a severe fitness trade-off is present. Additionally, we expanded previous findings to include mutualistic interactions between prey, showing that a specialist predator strategy dominated assuming even a minimal trade-off for generalism. Our model demonstrates that ecological interactions between prey species favor different predator diet strategies when there is a cost of generalism because switching from competition to mutualism changes relative prey abundances from being anti-correlated to being positively correlated. We anticipate that our modeling result will apply to systems when interactions between prey generate correlations in their abundance and a cost of generalism is present.
The experimental results of our study align with our modeling predictions, although they also highlight two important aspects of our microbial system. First,
There are limitations to the study we performed that may impact the generality of the results. First of all, our study is limited by its focus on the types of interactions that we chose to examine, namely obligate cross-feeding and resource competition. Other interactions or even other types of mutualistic or competitive interactions—for example, defensive mutualisms or interference competition—could result in different selective patterns on phage diet breadth. Additionally, we do not consider bacterial resistance to phage, which would create subpopulations within interacting species and complicate correlations in bacterial abundance.
We also note that the two phage types tested in these experiments differ in ways unrelated to specificity. P22
Our results suggest numerous directions for future study. It would be interesting to select EH7 for increased durability in minimal media to examine whether the improvement is sufficient to offset reproductive costs on slow-growing cells, or if a trade-off in fecundity is observed (47). In the context of phage therapy, the performance of EH7 in minimal media emphasizes the necessity of testing how different environments affect phages and whether phage characteristics such as specificity tend to correlate with susceptibility to degradation (62). These data also suggest that the ways bacteria modify their environments through alteration to local pH or metabolite concentrations will have consequences for their viral predators. For example, human gut microbes sometimes compete with their hosts for vitamin B12 (63); the resultant availability of B12 in the human gut may alter the efficacy of BtuB-specific phages in phage therapy applications. Continued characterization of phage-bacteria interactions in the complex communities in which they are found will improve our ability to use phage for engineering and biomedical purposes. We also expect that increasing the number of bacterial species or incorporating the evolution of resistance will complicate our findings by allowing for the emergence of phage with intermediate specificities. Finally, we note that the spatial structure of interacting bacterial species, as in a biofilm, will alter local prey availability in natural environments such that our results may not be applicable (38).
We took a simple modeling approach, paired with an ecological experiment, to gain insight into the role of prey ecology on the competitive ability of bacteriophage with different specificities. We found that, in both our model and
MATERIALS AND METHODS
Model description
We constructed a model of the concentrations of two interacting bacterial species, a generalist phage, and a specialist phage. Bacteria (dimensionless biomass denoted by
(1)
(2)
Biomass of predators increases through predation and decreases through death or dilution:
(3)
(4)
Our model was constructed such that prey had an intrinsic maximum growth rate
Using these equations, we investigated the extremes of pure mutualism (
Model analyses
To predict the biomass of both prey and predator over time, we numerically solved our ordinary differential (equations 1-4) (ODEs) in R v.4.2.1 with the DeSolve package v.1.32, using the LSODA solver. To investigate the equilibrium or steady-state dynamics of the system of equations, we integrated (equations 1-4) until species abundances no longer changed between timepoints. These results were verified by fixed point stability analysis in Mathematica 13.2.1. We evaluated equilibrium abundance of the phage predators under three different scenarios: (i) imposing a trade-off for expanded specificity by penalizing the burst size (or attachment rate) of the generalist phage, (ii) altering the intrinsic growth rates or interaction coefficients of the bacterial prey, or (iii) some combination of scenarios i and ii (Table 2). To quantify phage coexistence, we used the equilibrium abundance of both phage. Relative abundance was calculated as the equilibrium density of the specialist divided by the sum of the equilibrium density of the specialist plus the equilibrium density of the generalist. Values greater than 0.5 indicated that the specialist was more abundant. Initial densities were the same across numerical simulations; all four species were always initialized at a density of 0.1. To confirm the significance of the parameters tested, we conducted two types of sensitivity analyses on our ODE system: the Morris screening method and the variance-based Sobol test (65–67). Morris screening and Sobol sensitivity analyses were performed in R with the ODESensitivity package v.1.1.2 using the same parameter distribution ranges for each test type (Table S6).
TABLE 2
Parameter trade-offs tested in our phenomenological model and their biological significance
Trade-off | Parameter combinations | Significance |
---|---|---|
None |
| Generalist and specialist phage are parametrically identical |
Cost of generalism (burst size) |
| Generalist and specialist phage differ in their abilities to kill prey due to differences in burst size |
Cost of generalism (attachment rate) |
| Generalist and specialist phage differ in their abilities to kill prey due to differences in attachment rate |
Interaction outcome (growth rate) |
| Prey species coexistence in the absence of phage is biased or impossible due to differences in growth rate |
Interaction outcome (interaction coefficient, competition) |
| Prey species coexistence when competing in the absence of phage is biased or impossible due to differences in interaction coefficients |
Interaction outcome (interaction coefficient, mutualism) |
| Prey species coexistence when mutualistic in the absence of phage is biased or impossible due to differences in interaction coefficients |
Cost of generalism and interaction outcome (growth rate) | (
| Generalist and specialist phage differ in their ability to kill prey and prey species coexistence in the absence of phage is biased or impossible due to differences in growth rate |
Cost of generalism and interaction outcome (interaction coefficient, competition) | (
| Generalist and specialist phage differ in their ability to kill prey and prey species coexistence when competing in the absence of phage is biased or impossible due to differences in interaction coefficients |
Cost of generalism and interaction outcome (interaction coefficient, mutualism) | (
| Generalist and specialist phage differ in their ability to kill prey and prey species coexistence when mutualistic in the absence of phage is biased or impossible due to differences in interaction coefficients |
Parameters not listed here were set to default values in Table 1.
Finally, following the
Bacterial co-culture system and phage strains
The bacterial strains have been previously described (68). Strains are listed in Table S7. Our
The specialist phage used was P22
Two additional bacterial strains were used for plaque assays (Table S7). They were chosen so that, in mixed cultures of phage, phage types could be quantified independently of each other. The
Media
Minimal hypho liquid media for experiments was prepared as previously described, with each component sterilized prior to mixing (72) (Table S9). In addition to the appropriate carbon source, solutions containing sulfur, nitrogen, phosphorus, and metals were supplemented into each media type (Table S9). Routine culturing of all bacterial strains was carried out on Miller lysogeny broth (LB) unless otherwise indicated. Working stocks of both phage types were grown on log-phase
Phage competition assays
Phage competition assays were performed in 96-well flat bottom plates on a Tecan Infinite Pro200 plate reader for 48 hours at 37°C with shaking at 432 rotations per minute. Experiment duration was chosen to allow batch culture experiments to reach a final state (stationary phase, phage densities unchanging), thus allowing us to compare to our chemostatic model. Overnight stationary phase cultures in LB started from single colonies were washed three times in saline, adjusted to a density of 107 cells per milliliter, and used to inoculate 200 µL of appropriate medium with 2.0 × 105 total cells per well (i.e., 2.0 × 105 total
To quantify bacterial abundances throughout the duration of the experiment, we recorded 600-nm wavelength optical density (OD600),
A single initial experiment was completed to confirm the reproductive ability of each phage on
To impose a cost of generalism in our system, we repeated the phage competition assays, incubating the phage in minimal media at 37°C with shaking for 24 hours prior to the addition of cells in either
Phage degradation assays
We examined the impact of cell starvation on the formation of new EH7 particles using a full factorial design of both phage types and
Phage sequencing and genomic analysis
Phage samples were sequenced following dsDNA extraction. To isolate DNA, 450 µL of each phage stock was combined in a microcentrifuge tube with 50 µL DNase I 10× buffer (Invitrogen), 5 µL DNase I (Invitrogen), and 1 µL RNase A (Qiagen). The solution was incubated at 37°C without shaking for 1.5 hours, followed by inactivation of DNase I and RNase A through the application of 20 µL of 0.5M EDTA and incubation at 75°C for 10 minutes. Proteinase K (1.25 µL; Invitrogen) was then added to the tube and the solution was incubated for an additional 1.5 hours at 56°C without shaking. DNA was purified using the Qiagen DNeasy Blood and Tissue kit and quantified on a Nanodrop. Samples were sent to Seq Center, LLC (https://www.seqcenter.com/), for sequencing.
Once returned, reads were assembled and evaluated. Point mutations knocking out lysogeny in our lab strain of P22
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Abstract
ABSTRACT
Predators play a central role in shaping community structure, function, and stability. The degree to which bacteriophage predators (viruses that infect bacteria) evolve to be specialists with a single bacterial prey species versus generalists able to consume multiple types of prey has implications for their effect on microbial communities. The presence and abundance of multiple bacterial prey types can alter selection for phage generalists, but less is known about how interactions between prey shape predator specificity in microbial systems. Using a phenomenological mathematical model of phage and bacterial populations, we find that the dominant phage strategy depends on prey ecology. Given a fitness cost for generalism, generalist predators maintain an advantage when prey species compete, while specialists dominate when prey are obligately engaged in cross-feeding interactions. We test these predictions in a synthetic microbial community with interacting strains of
IMPORTANCE
There is significant natural diversity in how many different types of bacteria a bacteriophage can infect, but the mechanisms driving this diversity are unclear. This study uses a combination of mathematical modeling and an
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