Abstract
Identification of mechanisms that promote and maintain the immense microbial diversity found in soil is a central challenge for contemporary microbial ecology. Quantitative tools for systematic integration of complex biophysical and trophic processes at spatial scales, relevant for individual cell interactions, are essential for making progress. We report a modeling study of competing bacterial populations cohabiting soil surfaces subjected to highly dynamic hydration conditions. The model explicitly tracks growth, motion and life histories of individual bacterial cells on surfaces spanning dynamic aqueous networks that shape heterogeneous nutrient fields. The range of hydration conditions that confer physical advantages for rapidly growing species and support competitive exclusion is surprisingly narrow. The rapid fragmentation of soil aqueous phase under most natural conditions suppresses bacterial growth and cell dispersion, thereby balancing conditions experienced by competing populations with diverse physiological traits. In addition, hydration fluctuations intensify localized interactions that promote coexistence through disproportional effects within densely populated regions during dry periods. Consequently, bacterial population dynamics is affected well beyond responses predicted from equivalent and uniform hydration conditions. New insights on hydration dynamics could be considered in future designs of soil bioremediation activities, affect longevity of dry food products, and advance basic understanding of bacterial diversity dynamics and its role in global biogeochemical cycles.
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Introduction
Notwithstanding the vagaries of extreme environmental fluctuations affecting the harsh and nutrient poor environment, soil emerges as the most biologically active compartment of the biosphere hosting unparalleled bacterial diversity at all scales (Stotzky, 1997; Fenchel, 2002; Torsvik and Ovreas, 2002; Fierer and Jackson, 2006; Hibbing et al., 2010). Understanding bacterial diversity patterns and function, and determining biophysical processes that shape and maintain diversity represents a central challenge for contemporary microbial ecology (Fenchel, 2002; Hibbing et al., 2010; Fierer and Lennon, 2011). Curtis and Sloan (2004) have commented that this challenge is ‘an immense and unexplored frontier in science of astronomical dimensions and of astonishing complexity’.
Soil bacteria inhabit complex and heterogeneous pore spaces where water and nutrient resources essential for bacterial life may significantly vary across micrometeric spatial scales or entirely change within a single bacterial generation (Crawford et al., 2005; Mitchell and Kogure, 2006; Or et al., 2007; Banavar and Maritan, 2009). Hydration status and pore-space characteristics are critical factors shaping nutrient fields and bacterial motility, and are thus key to understanding bacterial interactions in soil and other porous media such as dry food products (Barton and Ford, 1997; Dens and Van Impe, 2000; Wilson et al., 2002; Chang and Halverson, 2003; Or et al., 2007; Chen and Jin, 2011). Although motility has long been argued as a key factor for survival in heterogeneous environments and for biodiversity maintenance (Fenchel, 2002; Reichenbach et al., 2007; Vos and Velicer, 2008), it is only recently that crucial processes regulating bacterial motility within liquid films forming on partially hydrated rough surfaces have been quantified (Dechesne et al., 2010; Wang and Or, 2010). These studies have shown that surface roughness and aqueous-phase configuration impose capillary and hydrodynamic constraints limiting bacterial motility, and defined a surprisingly narrow range of hydration conditions where motility could confer ecological advantage on rough surfaces. These are but preliminary steps toward development of a broader understanding of hydration effects on bacterial population interactions and species coexistence in unsaturated soil.
In addition to inherent spatial heterogeneity of complex soil pore spaces and the resulting configuration of the aqueous phase retained therein, dynamic fluctuations in hydration conditions common in most natural soils affect microhabitats, and thus greatly influence growth rates and community compositions. Such fluctuations and associated aqueous-phase reconfiguration may create new niches that may shelter less competitive communities, or restrict diffusion in support of thriving communities, thereby enhancing bacterial diversity (Torsvik and Ovreas, 2008). Like in other ecological systems, studies have shown that fluctuations in hydration conditions could lead to significant decay in bacterial biomass and alter community composition (Fierer and Schimel, 2002; Gordon et al., 2008). Nevertheless, most previous studies have focused on bacterial survival and population recovery with little consideration of the role of hydration dynamics on interactions among competing bacterial populations (Prosser et al., 2007; Torsvik and Ovreas, 2008). Not surprisingly, a mechanistic picture of how soil bacterial diversity is promoted and maintained remains sketchy (Torsvik and Ovreas, 2008; Ponciano et al., 2009). Progress in resolving mechanisms responsible for promoting or limiting bacterial competition and diversity, and the development of predictive tools require quantitative modeling capable of systematic consideration of bio-physicochemical processes and ecological interactions at appropriate spatial and temporal scales (Prosser et al., 2007; O’Donnell et al., 2007; Banavar and Maritan, 2009).
We study interactions between hydration dynamics and diffusional heterogeneity affecting bacterial growth, motility, competition and species coexistence on partially hydrated rough surfaces. We employed a hybrid model that couples individual-based description of cell growth, motion and interactions within a nutrient field described by a (continuum-based) reaction−diffusion model (Kreft et al., 1998; Dechesne et al., 2010). The model resolves spatial and temporal nutrient diffusion fields subjected to prescribed boundary conditions, heterogeneity and local nutrient interception by individual cells. In addition, the model explicitly tracks motions and life histories of all individual cells within a population considering local hydrodynamic and capillary constraints to motility (due to aqueous-phase configuration).
Materials and methods
Modeling heterogeneous rough surface and water configuration
Natural surfaces are represented as two-dimensional networks of roughness elements with different characteristics arranged on a lattice (Dechesne et al., 2010) in which bacterial populations grow, interact and compete. The roughness network captures salient aspects of aqueous-phase retention and spatial organization of real surfaces, while providing a tractable representation of physical processes such as water films, hydraulic connectivity and effective diffusion of real porous media (Blunt, 2001; Dechesne et al., 2010). The amount of aqueous phase retained within roughness element was calculated as a function of ambient matric potential value (or relative humidity in the air) and surface roughness geometry (Or et al., 2007). The connectivity of aqueous networks and the effective sizes of connected aqueous elements capable of supporting bacterial motility were deduced from roughness element geometry, and invoking universal percolation theory arguments for network fragmentation (Berkowitz and Ewing, 1998). An example of the resulting connected clusters of water-filled channels are depicted in Figures 1a and b for a roughness network under different matric potential values, highlighting increased fragmentation of aquatic habitats as the surface becomes drier.
Nutrient diffusion and bacterial motility and growth on partially hydrated rough surfaces
The effective diffusion coefficient DS for nutrients varies with hydration conditions (higher for wetter conditions), and thus is a key parameter for determining bacterial growth rate and population carrying capacity of unsaturated surfaces. For simplicity, we expressed the relative diffusion coefficient as a function of hydration state (water content or matric potential) according to the classical Millington and Quirk model that was originally developed for soil (Moldrup et al., 2003),
where D0 is nutrient diffusion coefficient in bulk water, Φ is effective ‘porosity’ of rough surface (relative to smooth surface), that is calculated according to,
where 〈H〉 is the expected value of channel/bond height (considering the effective height of the domain equals to the value of three times of the mean height of channels/bonds), l is the length of a roughness element (channel/bond), α and H are the spanning angles and height of a roughness element, with the intervals of Ωα and ΩH, respectively (Dechesne et al., 2010), and θ is the volumetric water content, which can be estimated as a function of ambient hydration status (matric potential, ψ) and surface roughness characteristics according to,
where θi(ψ) is the volumetric water content of a certain roughness element at matric potential value ψ (Dechesne et al., 2010), A is the surface area (summation is over all elements in the network). Monte Carlo simulations of diffusive fluxes across the unsaturated roughness network yield effective nutrient diffusion coefficient similar to those obtained from macroscopic Millington and Quirk model (Moldrup et al., 2003), as depicted in Figure 1c. For high matric potential values (wet conditions) large nutrient diffusive fluxes are supported across the roughness network, with effective nutrient diffusion coefficient of up to 0.5 mm2 h−1 under −0.0001 kPa (wettest conditions considered) similar to values in the range of 0.4−0.8 mm2 h−1 for soils at near saturation found by Darrah (1991) and Moldrup et al. (2003). The drying of a rough surface (lower matric potential) is associated with a significant decline in effective nutrient diffusion coefficient within a few kilopascal drop in matric potential value.
Flagellated motility is the primary mode of self-propulsion of bacterial cells in planktonian form within aqueous films (Darnton and Berg, 2008; Dechesne et al., 2010). On partially hydrated rough surfaces, flagellated motion is gradually restricted due to cell-wall viscous drag and capillary pinning forces experienced by cells within thin aqueous films. These effects are succinctly lumped into a relationship between cell size and effective water film thickness—d(ψ) (which can be calculated as a function of matric potential and geometrical features of a roughness element according to with R(ψ) of the radius of the liquid interfacial meniscus formed in a roughness element, see Long and Or, 2005 for more detail). We explicitly consider capillary and hydrodynamic limitations to cell motility (expressed as cell velocity, V) as a function of matric potential in the following expression:
while with V0 of mean cell velocity in bulk water, and FM, FC and Fλ are the viscous drag forces opposing motion in bulk water (equal to the maximum flagellar propulsive force), the viscous force associated with cell-wall hydrodynamic interactions and the capillary pinning force, respectively (Dechesne et al., 2010). In addition, the receding air−water interfaces results in thinning of film thickness effectively, disconnecting bacterial aqueous habitats previously hydraulically connected under wet conditions and further limit bacterial motion (Or et al., 2007; Dechesne et al., 2010; Wang and Or, 2010). Therefore, cell velocity within each roughness element is determined by matric potential value and geometrical features of a roughness element. Nutrient diffusion, bacterial growth and nutrient consumption within a channel/bond are solved based on the well-established reaction−diffusion model (Kreft et al., 1998; Dechesne et al., 2010).
Simulations of bacterial growth and competition on dynamically hydrated rough surfaces
The hybrid modeling framework discussed above supports a highly resolved description of spatial and temporal nutrient diffusion fields shaped by surface and aqueous-phase heterogeneity, and by local nutrient interception by individual cells. To provide a baseline for the joint effects of physicochemical heterogeneity at microscale with variations in hydration status on bacterial motility, growth and population interactions on rough surfaces, we conducted Monte Carlo simulations for various (static) hydration conditions expressed as matric potential values of −0.5, −0.9, −2.0 and −3.5 kPa (10 replicates for each matric potential value using newly generated roughness network for each replicate). The baseline static simulation results were compared with simple dynamic hydration cycles (three simulations for each hydration sequence), starting with water potential at −2.0 kPa that varied subsequently between −2.0 and −0.5 kPa at every 12 and 48 h, respectively.
Monte Carlo simulations were performed on replicate roughness networks, representing rough surface with physical size of 34.4 × 34.4 mm2 (with 200 × 173 sites on hexagonal lattice and bond length of 0.2 mm), with the parameters of network as described from Wang and Or (2010). The hybrid individual-based model simulated growth and interactions among 60 cells that were inoculated at three sites (Figure 2a) each consisting of 20 cells (10 of each competing species). The nutrient concentration across the entire simulation domain was initially constant, and subsequently we maintained constant concentrations only at the boundaries of the network throughout the simulation period. Nutrient distribution and diffusion are supported by the variable aqueous network resulted from various hydration states (Long and Or, 2005). The physiological parameters used for modeling growth, interactions and nutrient consumption of two competing bacterial species are summarized in Table 1 (Kreft et al., 1998). Note the specific growth rate for the superior species (Sp1) is higher than for the inferior species (Sp2), reflecting the sole physiological advantage of Sp1 in nutrient interception and growth rate.
The fitness of Sp2 relative to Sp1 was computed according to (Elena and Lenski, 2003),
where W02 and W2 are the initial and final populations (simulated up to nutrient carrying capacity of a habitat) of Sp2, whereas W01 and W1 are those of Sp1.
Results
Bacterial growth and competition on rough surfaces under static hydration conditions
We first describe simulation results for surfaces under static hydration conditions as reference for simulations considering dynamic hydration status for similar mean aqueous-phase content. Figure 2 depicts patterns and population growth curves of two competing bacterial species on rough surfaces under different (but static) hydration conditions. As expected, under wet conditions (matric potential value of −0.5 kPa), the total bacterial population expanded rapidly with total population size exceeding 105 cells within 70 h after initial inoculation (Figure 2a). A small reduction in matric potential value (more negative, thus drier surfaces) from −0.5 to −0.9 kPa resulted in a 25% decrease in population size; only a few hundred cells survived with subsequent reduction to −2.0 kPa (Figures 2b and d); and finally, no significant bacterial growth was possible for −3.5 kPa for similar time frames. The highest population density was found at the front of an expanding wave reflecting nutrient conditions and interception at the expanding front as seen in Figure 2a (Tsyganov and Ivanitsky, 2006; Saragosti et al., 2011). In general, the thinning of effective aqueous film thickness (Figure 2c) and fragmentation of the aqueous phase with decreasing matric potential (Figure 1b) limit nutrient diffusive fluxes (Figure 1c) and suppress cell motion and dispersion, and thus limit bacterial population growth. Simulations for static hydration conditions are in agreement with experimental observations (Drenovsky et al., 2004; Dechesne et al., 2008; Ponciano et al., 2009; Dechesne et al., 2010) and with recently published modeling results, considering a single bacterial species on unsaturated rough surfaces (Wang and Or, 2010). In addition, wet surface conditions (−0.5 kPa) supported rapid growth by Sp1 that exhibited an exponential growth period immediately after inoculation, followed by a gradual decrease in growth rate towards a stationary phase throughout the rest of the simulation period (Figure 2d). In contrast, growth rates of Sp2 dropped rapidly, attaining negative values at 30 h after inoculation, leading to an eventual extinction of Sp2 (Figures 2a and d). Drier condition (−2.0 kPa) suppressed growth rates for both species leading to similar population sizes at 70 h after inoculation with similar spatial growth patterns indicative of coexistence (Figures 2b and d). Further reduction in matric potential value did not affect population coexistence, albeit no significant growth of both species was simulated. Consistent with equivalent population growth sizes, comparable colony expansion rates of both species were simulated on drier rough surfaces, unlike the continuous decrease in colony expansion ratio of Sp2 relative Sp1 for simulations under wet surfaces with a matric potential value of −0.5 kPa (Figure 3).
Effects of hydration dynamics on bacterial growth and species coexistence
Our primary focus was on quantifying the role of drying and wetting cycles on bacterial population growth relative to behavior under equivalent mean (static) hydration conditions. Figure 4 depicts snapshots of simulated bacterial growth patterns and population dynamics under static and dynamic hydration cycles (initial water potential was −2.0 kPa, and was alternated between −2.0 and −0.5 kPa every 12 (short hydration cycle) and 48 h (long hydration cycle), respectively). Results show that the time required for similar colony sizes under short and long hydration cycles was 144 and 192 h, respectively, as compared with 50 h for (equivalent) static hydration conditions. Hydration dynamics resulted in disproportional reduction in bacterial population growth during dry periods as evidenced by low-specific growth rates, which were followed by rapid recovery in population size upon rewetting for all dynamic hydration scenarios (Figures 4d and f), consistent with experimental observations (Pesaro et al., 2004; Iovieno and Bååth, 2008; Bapiri et al., 2010). At the end of wet periods (96 h after inoculation for long hydration cycle) nearly 90% of active cells inhabited domains with relatively large aqueous clusters supported by large water-filled channels. In contrast, most of the surviving bacterial populations were confined to relatively small (and deep) water-filled channels at the end of dry periods (144 h after inoculation for long hydration cycle) (Figure 5). Not surprising, he Sp1 experienced a disproportionally larger reduction in population size due to hydration fluctuations than the reduction in total population size (Figures 5a and b).
Simulations showed a significant increase in mean relative fitness (RF) of Sp2 relative to Sp1 with RF values of 0.35 and 1.20 for short and long dry intervals, respectively, as compared with RF=0.02 for static median hydration conditions. These changes reflect a transition from dominance by a superior species to coexistence of the two competing species, a change attributed solely to hydration dynamics (within the same roughness or pore spaces, Figure 4), in agreement with limited experimental observations (McLean and Huhta, 2000; Pesaro et al., 2004). Remarkably, a change in the sequence of hydration dynamics (starting with a wet period) significantly altered the bacterial competition picture, as shown in Figure 4f, resulting in competitive exclusion of the inferior populations similar to that for static wet scenarios (Figures 2a and d).
Discussion
The ecological role of hydration dynamics on bacterial growth, community structure and potential influences on species coexistence have been studied in various systems (Chesson, 2000; Ben-Jacob, 2003; Hibbing et al., 2010). The new aspect of this study is in providing some of the first and direct insights into how hydration conditions and associated spatiotemporal variations affect bacterial coexistence and dynamics of community structure. The ease by which aquatic niches become fragmented and disconnected (under dry conditions) accentuates localized growth patterns with temporal sheltering for less competitive species conferring resistance against encroachment by competitors.
Suppression of population growth under dry conditions was attributed primarily to changes in aqueous-phase configuration that affect both motion and diffusion pathways, thereby limiting nutrient fluxes and interception for the competing populations and induce similar (diffusion limited) specific growth rates (Treves et al., 2003; Zhou et al., 2004; Iovieno and Bååth, 2008). Such mechanism of coexistence promotion by limited diffusive fluxes and aqueous-phase fragmentation is consistent with limited available observations (Zhou et al., 2002; Treves et al., 2003; Ponciano et al., 2009). For example, Zhou et al. (2002) found two to three orders of magnitude higher microbial diversity in unsaturated surface soils than in saturated soils. In addition, restricted bacterial motility within thin aqueous films (dry conditions) limited dispersion distances and reinforced the critical role of localized diffusion pathways on chances of survival (Maennik et al., 2009; Dechesne et al., 2010; Wang and Or, 2010). The experimental results of Dechesne et al. (2008) reveal that for a small drop in matric potential of rough ceramic surfaces (from −0.5 to −3.6 kPa) colony expansion rates for motile bacteria dropped by 60 times. These factors contributed to the formation of nearly stationary growth patterns and nutrient-depleted regions that could not be traversed by competitive species (Long and Or, 2005), hence emergence of balanced population competition, and gradually giving rise to coexistence. Under wet conditions (−0.5 kPa), the multitude of hydraulic connections among bacterial habitats maintained pathways for motile bacteria, as well as supported high diffusion links for constant nutrient supply to expanding population fronts (Treves et al., 2003; Zhou et al., 2004). These relatively saturated and nutrient-rich simulated scenarios provided Sp1 with a competitive advantage (Treves et al., 2003; Hibbing et al., 2010) that enabled it to expand faster and gradually enclose Sp2’s enclaves, thereby intercepting larger fraction of nutrients and tipping competition balance, resulting in competitive exclusion of Sp2. These results are consistent with the classical coexistence theories of niche stabilization and fitness equivalence (Adler et al., 2007), whereby favorable growth environments (high nutrient fluxes, well connected and large aquatic habitats supporting significant cell motion, which are characteristics of wet surfaces) support expression of competitive advantage and lead to the exclusion of inferior species. These often speculated by rarely quantified mechanisms of physicochemical constraints restrict motility and nutrient fluxes within the fragmented aqueous phase, giving rise to fitness equivalence among competing bacterial species (gradual loss of niche difference) and coexistence (Zhou et al., 2002; Treves et al., 2003; Dechesne et al., 2008).
The disproportional sensitivity of densely populated regions to hydration dynamics (drying and wetting) acts to reset population imbalances. These simulation results are in agreement with experimental observations in which drying−rewetting conditions considerably increase bacterial diversity as compared with communities in unstressed and initially wet and fertile soils (Fierer and Schimel, 2002; Fierer et al., 2003). Although physiological traits allowed superior species to establish abundant presence in relatively larger and connected aqueous regions/pores (capitalizing on nutrient supply capacity) within wetting episodes; at the onset of dry periods, nutrient demand required in regions inhabited by large population density cannot be met by the new aqueous-based diffusion field, thereby resulting in a disproportionally large population decay (larger than would be expected for an equivalent reduction in mean flux) (Pesaro et al., 2004; Iovieno and Bååth, 2008; Bapiri et al., 2010). The situation for sparsely distributed ‘rural’ populations inhabiting harsher domains is different, and simulation results show that a large fraction of the population in these regions survived throughout dry episodes. Moreover, considering motility limitations induced by thinning films (Maennik et al., 2009; Dechesne et al., 2010; Wang and Or, 2010), these sparse and isolated populations are likely to exist in a stationary and sessile form (absent dispersion, expansion or mixing). Consequently, the unsymmetrical decline in population size during drying episodes reinstates a balance in population sizes of the competing species, and contributes to an establishment of nearly stationary coexistence patterns by resetting the ecological clock.
In addition, spatial preferences for dry and wet periods exhibited by bacterial population occupancy are reflections of the complex diffusion field, local nutrient carrying capacity and formation of resilient fraction of the population (less sensitive to hydration perturbations). These factors provide mechanistic explanation for experimental observations that soil drying−rewetting treatments may alter bacterial population dynamics and community structures (Fierer and Schimel, 2002; Fierer et al., 2003; Iovieno and Bååth, 2008). Hence, dynamic hydration conditions temporally increase niche complexity in which location (or diffusion pathway) resilience may affect bacterial population response and even compensate for physiological traits, and thus promote coexistence.
For the rare episodes of prolonged wetting in natural soils, the rapidly expanding population of competitive species may ultimately sweep through the domain including previously sheltered habitats, and lead to competitive exclusion of inferior species as predicted by the classical competition exclusion principles (Hutchinson, 1961). In practice, the ephemeral and very limited time window, when soils are subjected to wet conditions (a few hours per year), reinforces the generality of the physicochemical constraints imposed on nutrient diffusive flux heterogeneity and on motility. Thus sessile life form is expected to dominate soil bacterial life accentuating the ecological consequences of dynamic hydration conditions on bacterial population interactions and community structure across most soil types and climatic regions. The restricted duration of wet events in natural soil also imply severe constraints on distances traversed by motile bacteria into neighboring habitats, which are expected to be limited to a few pores even under favorable conditions (Soby and Bergman, 1983; Dechesne et al., 2010), preventing successful invasions, and thus competitive exclusion of weaker species. Although other agents such as roots and hypha, or concentrated flows in cracks and macropores may contribute to bacterial dispersion over large distances even in relatively dry soils, these would have limited influence along hot spots but are unlikely to alter structured residence of competing populations (Kohlmeier et al., 2005).
Time-averaged nutrient fluxes may be useful for estimations of total population sizes and carrying capacity of soil volumes (Drenovsky et al., 2004; Long and Or, 2007, 2009; Dechesne et al., 2008; Chesson, 2011); however, such averaging would not capture in local interactions discussed above that ultimately shape population dynamics and diversity. For example, inferences based on the average fitness of a species would predict competitive exclusion of weaker species within a bacterial habitat (Carrero-Colón et al., 2006; Chesson, 2011). The results revealed that highly localized, temporally variable and individual-level bacterial interactions, rather than median global values for a species, determine the dynamics and patterns of interacting bacterial populations in systems mimicking natural soils, consistent with organization principles for macroscale biological systems (Camazine et al., 2001; Karsenti, 2008). In addition, results show distinct effects of hydration sequences on bacterial coexistence indicative of sensitivity of responses of bacterial populations to initial conditions, which may cast some doubts on inferences based on steady state traditional population models, for example, Lotka−Volterra model (Wangersky, 1978) and niche theories (Adler et al., 2007) to describe complex soil bacterial dynamics.
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We acknowledge the financial support of the Swiss National Science Foundation (200021-113442 and 200020-132154-1).
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Wang, G., Or, D. Hydration dynamics promote bacterial coexistence on rough surfaces. ISME J 7, 395–404 (2013). https://doi.org/10.1038/ismej.2012.115
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DOI: https://doi.org/10.1038/ismej.2012.115
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