Downstream passage performance of silver eel at an angled rack: effects of behavior and morphology

we investigated how morphological parameters (body mass, eye and fin indices) and behavioral score (open field test) influenced passage rate at an experimental intake equipped with a bypass and angled racks with either 15 or 30 mm bar spacing. Both racks were efficient in guiding eels into a bypass. There was a strong positive effect of body mass and a weak positive effect of open field test score on passage rate. Other factors such as eye and fin indices played a minor role. These results demonstrate the performance of angled racks with bypasses and form a useful starting point for further research regarding the relationships between individual variation in behavior, morphology and passage solutions for silver eels.


Introduction
Man-made constructions in rivers, such as hydropower dams, alter natural river systems by disrupting longitudinal connectivity and hinder the migration of riverine organisms (Righton et al., 2021).Especially for fish that move between freshwater and marine environments (i.e., diadromous species), fragmentation and destruction of riverine habitat have detrimental effects on the successful completion of their life cycles.Fish that rely on freshwater habitat are Abstract The European eel is critically endangered due to heavy impact of anthropogenic factors, such as habitat fragmentation, overexploitation and climate change.During downstream migration, silver eels may encounter hydropower plants, which often result in delay or mortality from impingement on trash-racks or turbine passage.These problems can be mitigated with downstream passage solutions, such as angled racks that guide downstream-migrating eels to safe passage routes.The importance of bar spacing and phenotypic diversity for passage performance is, however, largely unknown.In this study, therefore today one of the most threatened groups of animals on the planet (Soulé, 1991).For example, the European eel [Anguilla anguilla (Linnaeus, 1758)] is a critically endangered catadromous fish species, and all stages in its complex life cycle are heavily affected by human activity (Pike et al., 2020).As a result of past and present effects of anthropogenic pressure, the European eel has suffered a rapid decline in abundance (Poehlmann et al., 2020).Its life cycle includes a spawning migration from the rearing grounds in freshwater to spawning areas at sea, and this habitat shift is associated with adaptive physiological and morphological processes (Tesch, 2003;Schweid, 2009).Silver eels (i.e., migratory spawners) that are ready to initiate their migration back to the Sargasso Sea for spawning, for instance, become tolerant to salt water, their eyes and pectoral fins become enlarged and the body pigmentation changes to silvery white on the ventral and dark green on the dorsal side (van Ginneken et al., 2007;Schweid, 2009).Feeding ceases, and silver eels thereby rely on accumulated fat reserves when crossing the Atlantic on their way to the spawning area (Tesch, 2003).With such complex life cycle, freshwater eels face all biodiversity threats outlined in Millennium Ecosystem Assessment: habitat fragmentation, climate change, invasive species and parasites, habitat reduction and pollution (Drouineau et al., 2018).
European eels facing hydropower stations risk mortality and injuries when encountering trash-racks and coming into direct contact with moving parts of turbines (Larinier & Travade, 2002;Calles et al., 2010).Even though threats associated with downstream passage are global, solutions to the problems are often site-specific (Fjeldstad et al., 2018), and research over the past decade, both under controlled laboratory conditions and in the field, has shown varying results (Russon et al., 2010;Calles et al., 2013Calles et al., , 2021;;Fjeldstad et al., 2018;Økland et al., 2019).Laboratory studies indicate that both inclined (inclined plane) and angled (angled plane) bar racks may be successful in efficiently guiding eels past barriers (Amaral et al., 2003;Russon et al., 2010), which also has been demonstrated in field studies (Calles et al., 2013(Calles et al., , 2021;;Økland et al., 2019).The design features of implemented racks are typically in the range of 10-20 mm bar spacing and oriented with a 26°-45° angle to the vertical (angled racks) or inclination to the horizontal (inclined racks).In the River Sieg, for example, an angled rack (27° and 10 mm bar spacing) resulted in > 92% survival (Økland et al., 2019), and an angled rack (30° with 15 mm bar spacing) upstream of a powerhouse in the River Ätran had a 95-100% passage success (Calles et al., 2021;Kjaerås et al., 2023).However, not only survival at the passage event is important for downstream migration, the duration of the passage also plays an important role.
Hesitance to enter the bypass at a fish passage solution may result in migration delay (Verhelst et al., 2018), which can have negative effects on the success of the downstream migration of silver eels.There is great individual variation in passage time when eels are provided with a fish passage solution (Behrmann-Godel & Eckmann, 2003;Pedersen et al., 2012;Calles et al., 2013), which is poorly understood but potentially associated with differences in individual traits, such as morphology, degree of maturity and behavioral type.Morphological metrics such as weight and girth have direct implications for swimming capacity and the physical passability of racks (Calles et al., 2010;Travade et al., 2010b), whereas the migrational motivation can be described by the "silver degree" calculated from the size of the eyes and pectoral fins (Durif et al., 2009).Behavioral types, i.e., behaviors that persist over time and in different contexts (e.g., bold, explorative, aggressive, timid), have been shown in laboratory studies to exist in European glass eels and elvers (Geffroy & Bardonnet, 2012;Geffroy et al., 2014Geffroy et al., , 2015)), whereas such results is lacking for silver eels, potentially because silver eels are difficult to study in the laboratory.The importance of behavioral type for the downstreammigrating, adult life stage of eels remains unknown, although silver eels have been shown to perform a wide array of behaviors when facing a rack at a hydroelectric power plant.They can, for example, follow the rack, crash into or try to squeeze through it, flee upstream or perform a combination of these behaviors (Amaral et al., 2003;Behrmann-Godel & Eckmann, 2003;Russon et al., 2010;Russon & Kemp, 2011;Verhelst et al., 2018).Individual variability in behaviors is high (Calles et al., 2013(Calles et al., , 2021)), which plausibly effects passage success.
Both field and laboratory studies have shown that eels are guided into bypasses, even by inclined and angled racks with a bar spacing that does not physically prevent eels from passing racks (Amaral et al., Vol.: (0123456789) 2003).This observation indicates that angled and inclined racks also have behavioral guidance properties.Therefore, it is possible that racks with a wide bar spacing that allow efficient operation for the hydropower company (in terms of easy cleaning and low electricity production loss) can still guide silver eels to an adjacent bypass.In this study, we investigated downstream passage performance of silver eels guided by an angled bar rack at a large-scale ecohydraulic laboratory (Älvkarleby, Vattenfall AB).We tested if passage rate was affected by bar spacing (15 vs. 30 mm), and in addition, we investigated the importance of morphological and behavioral traits for the passage rate of individual silver eels.Specifically, we tested the effects of body size, eye and pectoral fin indexes (measures of maturity) and distance traveled in an open field test (OFT; a measure of activity) in our analysis of passage rate.We hypothesized that (1) bar spacing would have minor effect on passage rates, because of the behavioral guidance properties of angled racks, and that (2) the degree of maturity would be positively related to passage rate because maturity should be linked to motivation to migrate.Further, we hypothesized that (3) the activity score (as measured by distance travelled in an OFT) would be positively related to the passage rate because activity is expected to be positively related to the ability of locating and entering a bypass opening.

Experimental facility
The experiment was performed at the Vattenfall Research and Development Laboratory ("Laxeleratorn") in Älvkarleby, Sweden, between 10 October and 2 November, 2019.This experimental facility has two interconnected flumes (Fig. 1), each with the dimensions (length × width × depth) 24 × 4 × 2 m, with water supplied from the adjacent River Dalälven.Four electronically controlled pumps (Flygt N3202, Xylem, Inc., USA) provided flow with a capacity to generate velocities of up to 2 m s −1 .A steel mesh (10 × 10 mm) installed at the start and end of each flume prevented eels from escaping from the experimental arenas.An angled metal bar rack (length × width = 6.8 × 2 m) was installed at a 30° angle towards the water current (i.e., a β-rack; Fig. 1).
Bars in the racks were oriented horizontally facing the direction of the current.Two racks with different bar spacing were used in the experiment: one with 15 mm and one with 30 mm distance between the bars.At the downstream end of the rack a full-depth bypass entrance (width × height = 0.6 × 2.0 m) with an inclined (30°) solid steel ramp was installed to lead the fish towards the 0.5-m-deep bypass crest.The bypass was connected to a channel leading to a 1.8 m 3 cage (length × width × depth = 2. 0 × 0 .6 × 1.5 m) .
In the experiment, the eels started a passage trial from a start box.The box (length × width × height = 1.00 × 0.30 × 0.35 m) was located 5 m upstream from the most upstream part of the rack, and 9 m upstream of the bypass entrance.Eels were held in the box for 5 min before we opened the hatch to allow for the eels to leave the box.Two PIT-tag antennas (passive integrated transponder; Oregon RFID, Portland, USA) were installed within the test arena to record passage times of individually tagged fish.One antenna was located at the exit of the start box to detect when the eels left the box and entered the arena.The other antenna was located at the bypass crest to detect the eels that successfully entered the bypass channel.

Eels
Silver eels (n = 108) were caught by professional fishermen in south-eastern Lake Vänern, Sweden, and the eels were transported to the experimental facility on 9 October, 2019.On arrival, eels were distributed between two circular aerated holding tanks (volume = 3.5 m 3 , diameter = 3 m), equipped with water coolers, pumps and UV-filters (for more details, see Harbicht et al., 2022).The holding tanks were shielded with tarpaulins to reduce external disturbance.Water temperature and oxygen saturation were controlled daily prior and during the experiment.Mean water temperature and oxygen saturation (± SD) were 10.6 ± 1.3°C and 98.9 ± 1.8%, respectively.
Between 10 and 13 October, 2019, we assessed individual behavior by scoring the eels in an open field test to quantify the total distance travelled by an individual eel in the absence of external disturbance (OFT; Mensinger et al., 2021).In an OFT trial, an individual eel was introduced into an empty holding tank (volume = 3.5 m 3 , diameter = 3 m) that constituted the testing arena.The eel was allowed to swim freely in the arena for 20 min during which we recorded the eel using a video camera (GoPro Hero 6; GoPro, Inc., San Mateo, USA) installed over the arena, and the last 4 min of the trial was used for analysis.After being scored in OFT, each eel was anesthetized with benzocaine (0.1 mg l −1 ), measured (total length TL), weighed (wet mass M), checked for injuries and tagged with a 23 mm PIT-tag (Oregon RFID, USA) in the abdominal cavity.We photographed the eel to record morphometric parameters.Four photos of each eel were taken: full body, pectoral fin, head from the left side and from the top.All photos included a ruler for scaling.

Behavioral and morphological parameters
We transformed the 4 min videos from the OFT into sequences of JPEG images using Virtual Dub (developed by Avery Lee, GNU GPL-2.0 license), and we produced 1 image s −1 .Images were processed with ImageJ 1.52a (Schneider et al., 2012).We located the anterior end of the eel's head and assigned it coordinates in each image, and we used these coordinates to calculate total distance travelled in OFT.
We calculated two morphological parameters: eye index (EI) and pectoral fin index (PF) by analyzing photos with TPS (Rohlf, 2015), where reference points were placed in pre-defined locations, uniform for all eels.For EI, we measured vertical (ED v ) and horizontal (ED h ) eye diameter (mm) and calculated EI using the following equation (Pankhurst, 1982;Mordenti et al., 2013) We measured the length of the left pectoral fin (L pf ) from the insertion to the tip of the fin (mm) and calculated PF according to the following equation (Durif et al., 2005):

Passage trials
Between 21 October and 2 November, 2019, we carried out 6 replicate trials for each rack type, resulting in 12 trials conducted over 12 consecutive days, using a total of 96 eels tested in groups of 8.All eels (n = 108) were released back into the wild after the experiment, 60° 39′ 11.92″ N, 17° 20′ 41.51″ E, including the 12 individuals not taking part in the study.The two racks, 15 and 30 mm bar spacing, were alternated daily.Each trial started between 19:00 and 20:00 and lasted on average 13.5 h.Illumination during night time (mean ± SD) was 4.0 ± 0.l lux, water temperature was kept at 11.3 ± 0.4°C and water velocity was 1.0 ± 0.1 m s −1 at 0.1 m depth, 0.9 ± 0.2 m s −1 at 0.6 m depth, and 0.2 ± 0.1 m s −1 at 1.3 m depth upstream both of the racks.
From the data collected by the PIT antennas during the passage trials, we calculated passage time (t P ) as the difference between the last detection by the antenna at the start box exit and the first detection by the antenna located inside the bypass.
We calculated the fish guiding efficiency (FGE) to guide the eels to the bypass separately for the rack types with 15 mm and 30 mm bar spacing, using the following equation (Calles et al., 2010(Calles et al., , 2013)): where n p is the number of eels that entered the bypass during the trial time, and n t is the total number of eels released.

Statistical analyses
We verified that the eels did not differ in any of the morphological parameters between the two rack types using Mann-Whitney U tests (P > 0.05).To analyze which parameters (Table 1) affected passage rates, we used Cox-proportional hazards timeto event regression models (Castro-Santos & Haro, 2003;Hosmer et al., 2008;Castro-Santos & Perry, 2012), and to assess if the bar spacing had a significant effect on passage time, we used log-rank test on the time-to-event curves, using the survival package in R (Therneau, 2015).We used robust sandwich estimators to account for non-independence of data points (eels were released in groups of eight).The proportionality of hazards assumption was tested for all good models, as well as inspected visually by checking the Shoenfeld residuals.We tested all combinations of the parameters, using the dredge function (Harbicht et al., 2022 and references therein).Models within 2 Akaike's information criterion units (AIC) from the best-fitting model (i.e., model with the lowest AIC value) were considered good models (Calles et al., 2021).The most parsimonious model (i.e., the model with the fewest parameters) was identified as the best model among the good ones.

Results
Total FGE was 76%, as 73 out of 96 eels successfully entered the bypass opening.For trials with the rack that had 15 mm bar spacing, FGE was 81.3% and the median passage time was 110 min, whereas the corresponding values for the rack with 30 mm bar spacing was 70.8% and 123 min.A log-rank test showed that the passage rate was not significantly different between the two rack types (P = 0.51; Fig. 2).Body mass and length were the only explanatory parameters that were correlated (P < 0.001; all other combinations of parameters, P > 0.05).Within 2 ΔAIC of the best-fitting model, seven good models were identified (Table 2).From this subset, two models were selected for further analysis: (1) the most parsimonious model and (2) the model with the lowest AIC value (Table 3).For both of these models, we further analyzed the hazard functions (HF) to investigate how the included variables affected passage probability.HF is a value used in the time-to-event analysis that describes the effect of the chosen variable on the probability of the event, in our case successful passage through the bypass.If HF equals to 1, this indicates that the variable has no effect on the baseline probability Mean ± SD (min-max) Body mass (kg) 1.12 ± 0.29 (0.66-2.10) 1.10 ± 0.36 (0.68-2.14)Total length (mm) 827 ± 61 (694-960) 818 ± 79 (670-995) Eye index 7.9 ± 2.2 (4.5-13.1)7.9 ± 2.3 (4.5-14.7)Pectoral fin index 4.6 ± 0.4 (3.6-5.5)4.5 ± 0.4 (3.5-5.5)Distance OFT (m) 19.6 ± 8.6 (2.4-34.8) 20.6 ± 8.3 (3.6-42.5)for the event to happen (in this case a passage), whereas values above 1 indicates a positive relationship between the variable and the probability that the event happens.In the most parsimonious model, body mass had a positive significant effect on the passage rate (HF = 2.38) (Table 3).The bestfitting model with the lowest AIC value (but not the most parsimonious model) included the explanatory variables body mass and distance travelled in OFT.Both body mass and distance travelled in OFT had positive significant effects, but the effect of the mass was highly positive (HF = 2.26) while the  distance travelled in OFT had a weak positive effect (HF = 1.02,Table 3).

Discussion
Our results show that the angled racks with 15 and 30 mm bar spacing, respectively, both guided eels into the bypass to a relatively high extent (FGE = 81.3 and 70.8%).These values are in line with earlier research, and for example, in a laboratory study, Amaral et al. (2003) reported guidance efficiencies of around 85-95% for 50 mm racks angled at 15° towards the current, and for racks angled at 45° with 25 and 50 mm bar spacing, the efficiencies were around 60%.Another laboratory study showed high guidance efficiencies and no impingement for 12 mm racks angled at three different inclinations (15°, 30° and 45°; Russon et al., 2010).Also field studies have demonstrated the effectiveness of inclined and angled racks for guiding silver eels past hydropower plants on the their downstream migration (Calles et al., 2013(Calles et al., , 2021;;Økland et al., 2019).In these studies, inclined and angled racks had higher guidance efficiency and less instances of impingement than conventional racks (i.e., rack with angles > 50°).
Our time-to-event analysis indicated that body mass was positively related to the probability of passage.Large eels may be stronger swimmers, having higher muscular mass, and it is possible that this will allow them to move faster along the racks and locate the bypass opening faster.Furthermore, since the majority of silver eels > 500 mm are female, due to the documented sexual dimorphism in European eels (Tesch, 2003), angled racks with bypasses are expected to increase survival of large migrating highly fecund female eels.If this holds true it would have implications for conservation, and could also balance the observed reverse pattern for silver eel turbine passage, i.e., size being negatively related to turbine passage survival (Calles et al., 2010).The two morphometrical variables, eye and pectoral fin indexes, did not influence passage rate, and thus we did not find evidence that stage of maturity influenced passage rate.In previous studies, these indexes have generally been used descriptively (Durif & Elie, 2008;Calles et al., 2013;Mordenti et al., 2013) and have not been included as explanatory variables in an analysis of passage rate.Perhaps all individuals in our study were roughly equally motivated to migrate, and potential effects of differences in eye and pectoral fin indexes would only be detected if we also had included eels with a low degree of maturity.
In previous studies, migratory silver eels have shown a great variety of behaviors when facing barriers (Amaral et al., 2003;Russon et al., 2010;Calles et al., 2013Calles et al., , 2021;;Verhelst et al., 2018).We hypothesized that individual differences in activity, measured as distance travelled in OFT, is linked to passage performance.Earlier behavioral studies on variation in European eel individual behavior have focused on the juvenile life stage, and they have for example reported a connection between behavioral type and growth (Geffroy & Bardonnet, 2012;Geffroy et al., 2014).Further, in a study on upstream migrating juvenile eels, Mensinger et al. (2021) showed that individuals that were classified as exploratory in an OFT had a high success rate when climbing an experimental fishway.In our study, we found some (albeit weak) evidence that OFT also can predict passage rate of downstream-migrating silver eels.This result adds to the growing body of literature that associate fish passage solutions and individual variation in behavior (Silva et al., 2020), and future fish passage studies should perhaps consider the potential mechanism that fishways may act as selective agents for behavioral traits (Calles et al., 2021;Mensinger et al., 2021).
We did not measure activity in OFT at night.Both silver eels (Aarestrup et al., 2010) and elvers (Watz et al., 2019) are mainly nocturnal, and the use of low-light video cameras in our study would have provided additional information of individual variation in exploratory behavior and activity.Variation in passage performance could potentially be better explained by nocturnal than diurnal behavioral metrics.On the other hand, OFT carried out in daylight has been shown to relate to passage performance in juvenile eels (Mensinger et al., 2021).
Angled racks have shown to be an effective measure for facilitating downstream migration of eels, both in the laboratory experiments and in the field.In addition to preventing eels from entering the turbines, inclined and angled racks likely also provide behavioral guidance.Furthermore, our study showed that the eel size plays an important role for successful entering of a bypass at a downstream fish passage solution, with heavier fish, predominantly female, having higher chances of performing this action.
Our results showed that individual variation in activity scored, potentially also has a small effect on passage rates.Given the status as critically endangered, the European eel should be offered safe and timely routes past barriers on their downstream migration.In river systems where silver eels have to pass multiple hydropower plants on their way from rearing to spawning grounds, passage rates of close to 100% are required for each facility to resolve the bottleneck of low cumulative survival and avoiding artificial selection for certain phenotypes.Studies aimed at unraveling links between phenotypic diversity and passage success may be important for optimizing fish passage solution design for all phenotypes.

Fig. 1
Fig. 1 Head-on (top) and overhead (bottom) views of the experimental setup for silver eel rack a nd byp ass experiments.The arrow illustrates direction of flow

Fig. 2
Fig. 2 Non-parametric (Kaplan-Meier) time-toevent curves for PIT-tagged European eels (n = 96) guided into a bypass during flume experiments with two angled racks with different bar spacing (red = 15 mm; blue = 30 mm).Dashed lines represent 95% confidence intervals.A vertical increase in the curves indicates an event, in this case entering the bypass.The vertical marks indicate eels that were censored, i.e., the eel had not entered the bypass by the end of the trial

Table 2
List of good Cox-