Abstract
Larval fishes experience extreme mortality rates, with 99% of a cohort perishing within days after starting to actively feed. While recent evidence suggests that hydrodynamic factors contribute to constraining larval feeding during early ontogeny, feeding is a complex process that involves numerous interacting behavioural and biomechanical components. How these components change throughout ontogeny and how they contribute to feeding remain unclear. Using 339 observations of larval feeding attempts, we quantified the effects of morphological and behavioural traits on feeding success of Sparus aurata larvae during early ontogeny. Feeding success was determined using high-speed videography, under both natural and increased water viscosity treatments. Successful strikes were characterized by Reynolds numbers that were an order of magnitude higher than those of failed strikes. The pattern of increasing strike success with increasing age was driven by the ontogeny of traits that facilitate the transition to higher Reynolds numbers. Hence, the physical growth of a larva plays an important role in its transition to a hydrodynamic regime of higher Reynolds numbers, in which suction feeding is more effective.
Keywords: stable ocean, kinematics, Reynolds number, suction feeding
1. Introduction
Most pelagic and benthic marine fishes reproduce by external fertilization of eggs, which are then broadcast into the water column [1–3]. Larvae hatch from these pelagic eggs, and subsist on a yolk sac for several days until the mouth forms [4]. The period immediately after larvae initiate feeding is characterized by mass mortality within the cohort, reaching over 90% within the course of several days [5]. Starvation, resulting from the inability of larvae to find sufficient prey, was originally suggested as the key agent of mortality during this ‘critical period’ of mass mortality [5]. Predation, advection to unsuitable habitats and disease were also hypothesized to contribute to larval mortality during this period [1–3,6]. However, a ‘critical period’ of over 70% larval mortality is also commonly observed in mariculture facilities [7]. This high mortality, even under conditions of high concentrations of food, the absence of predators and controlled environmental conditions, implies that additional mechanisms may contribute to mortality during the critical period.
To capture their prey, larval fishes swim towards it and open their mouth while expanding their buccal cavity. This expansion generates a strong flow of water into the mouth, overcoming the escape responses of the prey and drawing it into the mouth [8–10]. Similarly to the effect of larval size on the hydrodynamics of their swimming [11], the characteristics of the suction flows that larvae generate change with size [10]. In general, the hydrodynamic regime characterizing the interaction of a fluid and a solid body (e.g. an organism) depends on the body's dimensions, the flow speed around it and fluid properties (density and dynamic viscosity). The flow regime is commonly characterized by the dimensionless Reynolds number (Re):
1.1 |
where ρ is the density of the fluid (kg m−3), l the characteristic length (m), u the flow speed (m s−1) and μ the dynamic viscosity (N s m−2). As Re increases, inertial forces become more dominant than viscous forces [12]. Consequently, there are hydrodynamic differences in the way larvae and adult fish experience their environment [9,13]. The flow regime affects larval swimming performance owing to its effect on the tendency of the fluid to separate from the fins, and the larval ability to impart momentum to the surrounding fluid [13]. Furthermore, while the effects of viscous forces on suction-feeding hydrodynamics in adult fish predominantly affect the flow inside the mouth cavity [14], these forces have a pronounced effect on the characteristics of suction flow outside the mouth in larval fish [10]. For example, when viscous forces dominate, the force required to accelerate the fluid increases [15] and spatial gradients in the suction flow exterior to the mouth become more gradual [10]. Note that different scales may apply for different flow fields around the organism. For example, the hydrodynamic regime that characterizes larval swimming (Re(swimming)) is defined using the larva's body length and swimming speed, whereas the hydrodynamic regime that characterizes its suction flow (Re(feeding)) is defined using gape diameter and the speed of the suction flow.
During ontogeny, fish larvae transition from a regime of low Re at first feeding to a much higher Re at later ages [8–10,13,16]. The Re(feeding) for first-feeding larvae is approximately 20, while for individuals at the end of the larval period, Re(feeding) is approximately 200 (Re estimated based on a computation fluid dynamics model of suction feeding; [10]). This transition to high Re(feeding) is accompanied by a steep increase in prey capture success and feeding rates [8,9,17,18]. Concomitantly, larvae undergo pronounced morphological and developmental changes. Immediately after the larvae hatch, a rapid restructuring of the moto-sensory system occurs [19]. As ontogeny progresses, the skeleton ossifies, muscle mass increases, the eyes grow and coordination improves. The developmental state of early-stage larvae prior to such changes has been hypothesized to impede their feeding [20–24]. Thus, two distinct mechanisms can affect feeding success throughout ontogeny: (i) changes in the hydrodynamic regime experienced by the larvae (Re(feeding) and Re(swimming), resulting from their increasing body length and gape diameter and their ability to generate faster swimming and suction flow speeds); and (ii) developmental and behavioural changes that do not affect the hydrodynamic environment (e.g. improved visual acuity).
Recently, it was suggested that hydrodynamic constraints on the ubiquitous suction-feeding mechanism of early-stage larvae lead to low feeding rates, even under high food concentrations [8–10]. As a way to alter the hydrodynamic regime in which the larvae dwell, independently of their development, those studies manipulated the viscosity (μ in equation (1.1)) of the medium inhabited by the larvae (‘dynamic-scaling experiments’; [8,25]). The experiments were based on the principle that, when comparing two flow regimes imposed on an object (the larva), the two regimes will be hydrodynamically identical if the non-dimensional parameters (Re) are identical. It is thus possible to replicate the hydrodynamic regime experienced by a small larva (e.g. 3.5 mm in length) by submerging a larger larva (e.g. 7 mm) in a high-viscosity solution. When viscosity is increased in proportion to length (equation (1.1)) and assuming no change in speed, the two larvae share the same hydrodynamic environment but differ in their age, length, level of experience and many other morphological features that change throughout development. For example, the younger 3.5 mm larva will be characterized by a lower degree of bone ossification, poorer visual acuity, lesser prey-handling experience and an under-developed motor-neural system compared with an older (more developed) 7 mm larva [20–24]. Hereafter, we refer to phenotypic changes that are not associated with linear growth as ‘developmental factors’. If these developmental factors are dominant in determining feeding success, then placing the older, more developed larva in a low Re environment should have a relatively minor effect on its feeding success. Alternatively, if the hydrodynamic environment dictates feeding success, then placing the older, more developed larva in a low Re environment should have a strong effect on its feeding success. This is because many parameters of the suction flow (e.g. its spatio-temporal pattern and the forces it exerts on the prey) are dependent on the hydrodynamic environment (Re), which is a function of size (increasing through ontogeny) and viscosity (which we increased experimentally). Previous dynamic-scaling experiments indicate a strong effect of the hydrodynamic environment on larval feeding. For example, larval feeding rates were determined by the dynamically scaled size of the larvae, while no significant effect of age on feeding rates was observed [8]. Additional modelling [10] indicated that the spatial patterns of the suction flows change as a function of Re, such that a low Re environment impedes the force exerted on the prey and restricts the distance from which it can be captured.
Suction feeding is a complex behaviour, composed of multiple morpho-physiological traits (hereafter ‘m-p traits’; [26]). These include the size of the mouth, the speed of mouth opening and the distance to the prey at the initiation of feeding strike [8,10,26], all of which combine to determine the outcome of the predator–prey interaction. In the context of larval feeding, it is not known how these m-p traits interact to contribute to feeding performance throughout ontogeny. The goals of this study were twofold: first, to examine the role of the hydrodynamic environment in determining the outcome of prey-acquisition strikes (success or failure) in larval fish; and second, to quantify the effect of major m-p traits on the hydrodynamic regime that characterizes these strikes. We analysed 339 feeding interactions and compared the hydrodynamic regime and the m-p trait values for failed and successful strikes throughout larval ontogeny. In addition, we adjusted water viscosity to manipulate the hydrodynamic regime independently of other developmental factors.
2. Methods
(a). Experimental approach
We used two separate high-speed video systems to test each of our two hypotheses. To examine whether the hydrodynamic environment determines the outcome of prey-acquisition strikes, we used a three-dimensional high-speed camera system, permitting accurate characterization of strike kinematics at 500 frames s−1 (fps; see electronic supplementary material, ‘3D filming of prey acquisition strikes’; figure 1; movies S1–S3). The system was triggered manually, upon the observer's detection of a feeding strike, and recorded approximately 85 short video sequences (approximately 4 s) that typically included 1–2 strikes. To quantify the effect of m-p traits on the hydrodynamic regime that characterizes these strikes, we used a 250 fps continuous recording camera system. This system recorded long (approximately 8 min) high-speed videos, and feeding strikes were identified and categorized by reviewing the video at approximately 15 fps (see electronic supplementary material, ‘Continuous high-speed system’ [27]; movie S4). The fact that all the feeding events were recorded, regardless of their kinematics, resulted in a dataset that is unbiased with respect to the observers’ ability to detect the strike in real time.
Using the three-dimensional system, we filmed Sparus aurata larvae ranging in age from 9 to 23 days post hatching (DPH) in increments of 1–2 days (2–16 events for each age); using the continuous system, we filmed larvae aged 8, 13, 17 and 23 DPH (see electronic supplementary material, tables S1–S3). Fish were filmed feeding on rotifers (see electronic supplementary material, ‘Study organisms’).
(b). Dynamic scaling experiments
We examined how changing the hydrodynamic environment of the larvae in each age group (8, 13, 17 and 23 DPH) affected feeding performance by manipulating the viscosity of the medium [8,25,28]. This allowed us to directly quantify the effects of the hydrodynamic regime (Re regime) which could be manipulated independently of other age-dependent developmental factors. We posited two possible factors that could influence larval feeding behaviour: (i) the hydrodynamic environment and (ii) the experience and ability of the larva given its developmental state. If strike characteristics are mainly dictated by the hydrodynamic environment, we expect older/larger larvae in experimentally manipulated viscous regime (‘dynamically scaled larvae’) to perform similarly to younger/smaller larvae in unmanipulated water regardless to their experience and developmental state. If strike characteristics are also dictated by the developmental state of the larvae, we expect ‘dynamically scaled’ larvae to show different strike characteristics from those of younger larvae in unmanipulated water. Viscosity was manipulated by dissolving increasing quantities of dextran in seawater. Each age group was filmed using the continuous high-speed system under three viscosities: unmanipulated seawater (1.08 × 10−3 Pa s); a solution of seawater and dextran with viscosity equivalent to ×1.4 that of seawater (approx. 1.5 × 10−3 Pa s); and a solution of seawater and dextran with viscosity equivalent to ×2.1 that of seawater (approx. 2.27 × 10−3 Pa s). In addition, the 23 DPH age group was filmed in a solution of approximately 2.9 × 10−3 Pa s, equivalent to 2.7× viscosity of seawater (see electronic supplementary material, ‘optical properties of dextran solutions’).
(c). Data analysis
Feeding attempts were defined as instances in which mouth opening generated movement of the prey towards the mouth [9]. Attempts were classified as ‘successful’ if a food item entered and remained in the mouth during and after mouth closing. Failed strikes were categorized as ‘failed’ if the prey did not enter the mouth and as ‘in&out’ if prey entered the mouth but exited while the mouth was closing. For the three-dimensional high-speed camera system, only feeding attempts in which both the larva and the prey were viewed in focus by at least two virtual cameras were used, resulting in 93 analysed feeding attempts. For the continuous high-speed system, only feeding attempts in which the sagittal plane of the larva appeared perpendicular to the plane of the camera were used, resulting in 246 analysed feeding strikes (electronic supplementary material, tables S1–S3).
For each video (2–4 views in the three-dimensional system, one in the continuous system), we digitized five landmarks on the body, jaws and prey to calculate a set of nine variables: (i) larval length, (ii) buccal length (mm), (iii) maximal and minimal gape diameter (mm), (iv) time to peak gape (TTPG; ms), (v) average gape speed (mm s−1), (vi) strike initiation distance (mm), (vii) swimming speed (ram; mm s−1), (viii) time to minimal prey distance (time to MPD) and (ix) maximal flow speed at the gape aperture (hereafter ‘peak flow speed’; mm s−1). (See ‘Measured variables’ in electronic supplementary material.) We also calculated the Re for feeding and swimming: Re(feeding) was calculated using maximal gape diameter as the relevant length (l in equation (1.1)) and peak flow speed (u in equation (1.1)). Re(swimming) was calculated using larval length as the relevant length (l in equation (1.1)), and larval swimming speed (u in equation (1.1)).
(d). Statistical analysis
Discriminant function analysis (DFA) was used to determine how the hydrodynamic regime predicts strike outcome, using data obtained with our three-dimensional high-speed camera system (see electronic supplementary material for details). The grouping variable was strike outcome (‘failed’, ‘in&out’ or ‘successful’) and the independent variables were Re(feeding), Re(swimming), time to MPD and strike initiation distance. These independent variables took into account all m-p traits that we measured because TTPG, peak flow speed, maximal gape size, swimming speed and larval length were used to calculate Re(feeding) and Re(swimming). Discriminant function produces a table of structure scores that estimate the contribution of each variable to separating the classified events and a confusion matrix, which reveals the number of cases that are misclassified in the pre-determined groups.
We used path analysis (see electronic supplementary material for details) to test two complementary questions: (1) how do larval size and age affect the hydrodynamic regime in which the larvae swim and feed; and, consequently, how does the hydrodynamic regime determine feeding success? and (2) how do size and viscosity affect feeding success through their direct effects on each m-p trait within the feeding mechanism? Our first model (question 1) included larval age and size as independent continuous variables, Re(feeding) and Re(swimming) as dependent continuous variables, and strike outcome as a dependent categorical variable. The second model (question 2) comprised larval age, larval length and viscosity as independent continuous variables; TTPG, gape speed, time to MPD, strike initiation distance, swimming speed, peak flow speed and gape length as dependent continuous variables; and strike outcome as a dependent categorical variable (figure 2).
3. Results
(a). Strike outcome is determined by Re(feeding)
Evaluation of morphological and kinematic traits obtained with our three-dimensional high-speed camera system revealed differences between the three strike outcomes (figure 2; electronic supplementary material, figure S1 and movies S1–S3). Larvae that managed to successfully capture their prey were larger in size (mean standard length = 5.59 versus 5.10 mm, respectively; figure 2a), and their average gape diameter was ×1.5 larger than that appearing in failed strikes (mean gape = 0.56 mm versus 0.39 mm, respectively; figure 2b). In addition, successful strikes were characterized by fast kinematics. Ram speed was sevenfold faster (mean ram = 71.4 versus 10.6 mm s−1, respectively; figure 2d) and average TTPG was shorter by 50% (mean TTPG = 0.012 versus 0.03 s, respectively; figure 2f) than for unsuccessful strikes. Even though the kinematics of in&out strikes were generally similar to those of successful ones, in&out strikes were characterized by much longer TTPGs and slower ram speeds than successful strikes (figure 2; electronic supplementary material, figure S1), resulting in a failure to retain the prey in the mouth before it closed.
To understand how variation in m-p traits affects the hydrodynamic regime in which the larvae forage, we performed a DFA of the hydrodynamic characteristics of feeding attempts, using Re(feeding), Re(swimming), strike initiation distance and time to MPD. This analysis provided a high degree of separation between the different strike outcomes, with 89.2% correct classification (figure 3a; p < 0.001). Specifically, failed attempts were always correctly classified (100% correct classification), successful attempts were correctly classified 87.5% of the time, while in&out attempts were often (61.5%) classified as ‘failed’ but never as successful strikes (see confusion table in figure 3a). The first canonical axis produced by the DFA accounted for approximately 88% of the variance explained (figure 3a), and separated successful strikes from the two other unsuccessful categories (‘failed’ and ‘in&out’). On this axis, the hydrodynamic characteristics of the strike (Re(feeding) and Re(swimming)) were the strongest predictors of strike outcome with structure score of 0.94 and 0.95, respectively, indicating a ‘strong’ effect on strike outcome. The second canonical axis separated between the unsuccessful categories (‘failed’ and ‘in&out’). On this axis, strike initiation distance and time to MPD had ‘strong’ effects (−0.72 and 0.65, respectively; electronic supplementary material, table S4).
Path analysis models of feeding attempts constructed for both datasets (three-dimensional and continuous high-speed camera systems) produced very similar outcomes (electronic supplementary material, table S5). In both cases, larval age and length affected strike outcome exclusively through their effect on strike hydrodynamics (Re(feeding); figure 3b). Larval age positively affected larval length, which in turn positively affected both Re(feeding) and Re(swimming). Strike outcome was directly affected only by Re(feeding), whereas larval age and length affected strike outcome via their direct or indirect effect on Re(feeding). Re(swimming) had no significant direct or indirect effect on strike outcome (figure 3b; electronic supplementary material, table S5). Note that for strikes recorded with the three-dimensional system, variability in Re between strikes was driven by intrinsic factors such as larval body and gape size, and swimming and suction speed, whereas for strikes recorded with the continuous system, Re was also experimentally manipulated by increasing the viscosity of the medium in which the larvae foraged.
(b). Size and viscosity had opposite effects on strike kinematics
We used a second path analysis model to account for the complex and indirect ways in which m-p traits may interact to determine strike outcome. Here, we used all m-p traits measured for each strike, visualized with our continuous system, as well as larval age, and the viscosity of the medium in which the larvae foraged. This analysis revealed direct paths (i.e. direct effects) from peak flow speed, time to MPD and TTPG to strike outcome. Strike initiation distance, ram speed, gape speed, larval length, larval age and viscosity affected feeding success only indirectly, through their effects on other variables (i.e. no significant direct paths to strike outcome). TTPG had both direct and indirect effects on strike outcome (figure 4; electronic supplementary material, table S6). The total effect of larval age on feeding success was positive, whereas ram speed and TTPG had negative total effects on feeding success. Viscosity had contrasting effects to those of ontogeny (larval size and age); with effect sizes that were similar in absolute magnitudes but with opposite signs on TTPG, gape opening speed and ram speed (figure 4; electronic supplementary material, table S6). The total effect of age (the sum of all direct and indirect effects) on feeding success was 4.0, while the total effect of viscosity was −2.3, indicating a pattern of increasing feeding success with increasing age and decreasing viscosity (p < 0.001 and p < 0.002, respectively).
It is possible that the mechanical feedback undergoes change if the viscosity of the seawater is increased, causing the fish to use suboptimal motor patterns that yield suboptimal performance. However, the lack of a direct effect of viscosity on strike outcome suggests that our experimental manipulation of the fluid viscosity did not bias the larval feeding behaviour, and that such effects were weak.
4. Discussion
Our results indicate that the success of a strike is determined by its hydrodynamic characteristics: successful strikes were characterized by an Re(feeding) that was an order of magnitude higher than that of failed strikes (figure 3). Our path analysis revealed that the effects of size and age on strike success are mediated through their effects on Re(feeding), with no significant direct paths from either size or age to strike outcome (figure 3b). Thus, only individual larvae that manage to momentarily escape the viscous low Re regime during their prey acquisition strike are able to capture their prey. We suggest that the ontogenetic pattern of increasing strike success within the age range we studied is largely driven by the ontogeny of traits that facilitate the transition to higher Re.
Our path analysis indicates that the effect of larval size on the different m-p traits is directly related to hydrodynamics: older larvae operate in higher Re because they are longer, have larger gape (l in equation (1.1)) and shorter TTPG. Shorter TTPG and larger buccal volume resulted in faster suction flow and probably in steeper spatio-temporal gradients in front of the mouth [10]. Consequently, larvae feeding at higher Re can exert stronger forces on their prey and, correspondingly, demonstrate greater feeding success. Larvae can further increase the force exerted on the prey by positioning it as close as possible to the mouth centre, where the pressure gradient is steepest and the flow speed is fastest [10,29]. This is reflected in the path analysis (figure 4), where the total effect of strike initiation distance on strike outcome is negative (shorter distance = higher prey capture probability). While the mechanism driving the ‘in&out’ events remains unclear, they are associated with low Re(feeding) and Re(swimming), although not as low as the ‘failed’ events (figure 3b). Recently, a particle image velocimetry study reported flow reversals in larval zebrafish, occurring frequently in smaller larvae towards the end of the gape cycle, when the mouth starts closing [30]. This could indicate that timing plays a more important role in determining strike outcome in larval fish than in adult fish, in which flow reversals are rare and minor [31].
Is feeding performance throughout the critical period affected by larval age primarily via its effect on the hydrodynamic regime experienced by the larvae? Previous research has suggested that feeding success of larval fishes improves with age due to ontogenetic improvement in the sensory system, coordination and experience. Such effects should have been manifested in our experiments in a significant path between age (or length) and strike outcome; however, our path analysis revealed that these expected relationships are non-significant. This conclusion is supported by the ‘dynamic-scaling’ experiments, specifically designed to tease apart the hydrodynamic effect of larval growth from other developmental factors. By increasing the viscosity of the medium in which the larvae foraged, we were able to expose older, larger larvae to the hydrodynamic regime that is typical of that experienced by younger, smaller larvae. However, a direct path between age and feeding success was not significant in our data, implying that the developmental factors play a relatively weak role in directly affecting strike outcome (in the age range we tested). The weak effect of developmental factors on strike outcome is further supported by the contrasting effects of larval age/length and viscosity in our model (figure 4). Artificially increasing the viscosity was associated with longer TTPG, slower ram speed and slower gape opening speed, resulting in a negative total effect on feeding success, while increasing larval age/length had opposite effects on these same variables. These contrasting effects can be expected if strike outcome is similarly affected by larval size and fluid viscosity, which change Re in similar magnitude (but opposite directions). However, while developmental factors were found to be insignificant in our statistical analysis, they can potentially be important at earlier ages. Lankheet et al. [19] pointed out that a rapid, dramatic restructuring of the neuro-sensory system is important in determining feeding behaviour during the first day of feeding in precocial live-bearing fish. This may imply that during the first day(s) of active exogenous feeding (approximately 5 DPH in our study system), developmental factors may predominate in determining feeding behaviour in altricial, egg-hatched larvae.
The ability of larger larvae to feed in higher Re can extend the range of prey types available to them. Consequently, the realized density of available prey is higher for larger larvae than for smaller ones: larger larvae can capture faster escaping prey, and exert sufficient force to suck heavier (denser) prey into their mouth. This higher realized prey density also augments the encounter rate with prey, defined as the number of prey items entering the ‘reactive volume’ of the larvae within a given time frame. Therefore, encounter rate is also expected to increase with increasing swimming speed and with the distance at which the predator responds to the prey [32–34], both increasing through ontogeny (figure 4). The broader range of prey types and sizes, together with the longer feeding distance and faster swimming speeds realized by larger larvae, effectively increase the available food concentration, encounter rates and feeding opportunities. Ultimately, these are expected to increase feeding rates, a key factor in determining larval survival. Our findings that larger larvae feed better could also be relevant to the mariculture industry. We suggest that selecting for larger larval size at hatching or for yolk sacs with higher nutritional value could facilitate an improvement in batch survival and larval growth rates, as it may facilitate the escape from the low Re regime experienced during initiation of exogenic feeding [13]. Additionally, our results indicate that direct observations on feeding events, performed for various prey types throughout larval ontogeny, could improve our understanding of feeding efficiency and help optimize larval diet. We note that focusing on the physical size and the escape response of the prey could further help match prey characteristics to larval feeding ability [35].
Supplementary Material
Acknowledgements
We thank N. Raab and M. Levi for help with filming and analysis of the videos, N. Paz for editorial assistance, and ARDAG for providing Sparus larvae for experiments.
Ethics
All experiments complied with IACUC approved guidelines for the use and care of animals in research at Tel Aviv University, Israel.
Data accessibility
Data available from the Dryad Digital Repository: http://dx.doi.org/10.5061/dryad.s79j7 [36].
Authors' contributions
R.H., V.C. and L.L. jointly designed the study; A.L., R.H. and L.L. designed and built the three-dimensional video system; V.C., L.L. and T.E. collected and analysed the videos; R.H., V.C. and L.L. analysed the data. All authors participated in writing the manuscript.
Competing interests
We declare we have no competing interests.
Funding
This study was supported by the Seventh Framework Programme, Israel Academy of Sciences and Humanities (695/15), and the Israel Ministry of Agriculture.
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Associated Data
This section collects any data citations, data availability statements, or supplementary materials included in this article.
Data Citations
- China V, Levy L, Liberzon A, Elmaliach T, Holzman R. 2017. Data from: Hydrodynamic regime determines the feeding success of larval fish through the modulation of strike kinematics. Dryad Digital Repository. ( 10.5061/dryad.s79j7) [DOI] [PMC free article] [PubMed]
Supplementary Materials
Data Availability Statement
Data available from the Dryad Digital Repository: http://dx.doi.org/10.5061/dryad.s79j7 [36].