From high-resolution to low-resolution dive datasets: a new index to quantify the foraging effort of marine predators

In the last decade, thousands of satellite-relayed data loggers (SRDLs) have been deployed, providing large datasets on marine predator movement patterns at sea and their diving behaviour. However, the latter is in a highly summarised, low-resolution form, from which it is difficult to make the sorts of important behavioural inferences that are possible from higher-resolution datasets (such as detection of likely foraging events). The main objective of this study was to develop a simple, but accurate tool to detect and quantify within-dive foraging periods in low-resolution dives. Two southern elephant seals were fitted with a head-mounted time depth recorder (TDR) (recording depth at 1 Hz) and an accelerometer (recording 3 axes of acceleration at 16 Hz) from which prey capture attempts were estimated (PrCA), and a Weddell seal was also fitted with a TDR (1 Hz).The resulting high-resolution dive profiles were used to: (1) calculate an accurate index of foraging effort based on the detection of vertical sinuosity switches (i.e. huntinghighres time); (2) produce an SRDL-equivalent low-resolution dataset using a broken stick algorithm; and (3) from each low-resolution dive calculate a set of candidate foraging effort indices. Huntinglowres time, which is the total time spent in decreased vertical velocity segments of the dive, was the foraging effort index that best correlated with huntinghighres time. Huntinghighres mode of SES dives (highly sinuous parts of high-resolution dives) was associated with 77 % of total PrCA. In comparison, Huntinglowres segments of SES dives were associated with 68 % of PrCA as well as with four times more PrCA than transitlowres segments. We found a low-resolution index which indicates foraging activity within a highly summarised dive profile and which identified most PrCA, despite degraded information transmitted by SLDRs. Used in combination with other measurements of the in situ environment, the huntinglowres index could be used in numerous integrated marine ecology studies, such as habitat use studies that are crucial to facilitate more effective conservation.


Background
In natural systems, predators perceive and react to environmental heterogeneity in ways that maximise resource acquisition [1,2]. These reactions are manifested through changes in their movement characteristics (e.g. direction, speed, sinuosity) that are likely to reflect the presence, or availability, of prey in the three dimensions of the environment [3,4]. Determining important habitats and quantifying how physical and biological parameters may influence top predators' behaviour is critical to understanding how a changing environment may influence individuals and populations [5,6]. For many marine predators, prey capture occurs at depth, and deciphering their diving behaviour to understand their foraging strategies has been a challenging issue since the late 1960s [7].

Open Access
*Correspondence: karine.heerah@hotmail.fr 1 Sorbonne Universités (UPMC, Université Paris 06)-CNRS-IRD-MNHN, LOCEAN Laboratory, 4 Place Jussieu, 75005 Paris, France Full list of author information is available at the end of the article Bio-logging devices have been fundamental in understanding the behaviour of an increasing number of marine species, because they allow remote measurements of movements and diving behaviour of free-ranging species [5]. During the last decade, satellite-relayed data loggers (SRDLs) have been widely used for transmitting, in near real time, data on the behaviour of marine predators, most typically dive depth and duration, but also in some cases swimming speed or ocean data such as temperature and salinity [6,8]. The miniaturisation, extended battery life and memory capacity of these devices allow the collection and storage of data at very high resolutions (1 s or less) and for long periods of time (several months) [5,8,9]. However, the limited time and bandwidth available for data transmission at the surface imposed by both the animal's diving habits and CLS Argos restrict the amount of data that can be sent [6,10]. For example, an SRDLs dive profile that was collected and recorded at 1 Hz might be summarised before transmission to only six points, representing the main inflexion points of the full profile, providing less detailed information on the actual dive profile [11]. Alternatively, several hours of diving behaviour data can be summarised into bins of summarised information on depth, duration or time submerged.
Accurate enumeration of feeding events is often difficult to obtain for marine predators and so most studies rely on proxies such as maximum dive depth, dive duration, bottom time, descent/ascent rates and dive shape indices [12][13][14]. For many marine predators, foraging and prey acquisition are assumed to occur during the bottom phase of the dive, with predators maximising their time at depth (i.e. bottom time) and minimising transit time (i.e. descent and ascent phases) [15,16]. For several species, the duration of the bottom phase has been positively related to foraging activity [17][18][19]. However, Dragon et al. [14] and Thums et al. [20] demonstrated that deep foraging dives in southern elephant seals (SES) were associated with high descent/ascent rates, but relatively short bottom times. Moreover, a recent study on a Weddell seal and SES demonstrated that the three-phase model of diving behaviour (descent, bottom and ascent) is overly simplistic and that using the bottom time only as an index of foraging effort can be misleading and inaccurate, because: (1) intensification of the foraging effort could occur several times within a dive and (2) this may not occur necessarily during the bottom phase [21].
We studied two deep-diving species of circum-Antarctic seals, SES and Weddell seals, for which numerous large low-resolution datasets (collected and transmitted by SRDLs) are available. Southern elephant seals are capable of travelling long distances from their sub-Antarctic breeding colonies and using diverse habitats such as ice edges, continental shelves and oceanic eddies [22,23], feeding mainly on fish and squid [24][25][26] and, as recently discovered, on krill [27]. Their diving behaviour is relatively stereotyped and they mostly forage at the bottom of their dives [9,21]. In contrast, Weddell seals mainly reside in coastal or shelf waters in areas of fast ice. They feed mainly on fish, but also on cephalopods and crustaceans in variable proportions according to age, location and season [28]. Their diving behaviour seems to reflect this generalist feeding strategy even at the dive scale, exhibiting several foraging episodes within a dive, which are most often above the bottom phase of the dive [21]. Southern elephant seal and Weddell seal foraging behaviour has been extensively studied in several locations [29][30][31][32]; however, the new information on finescale behaviour by Dragon et al. [14] and Heerah et al. [21], in addition to the increasingly large number of lowresolution data available, highlights the value of re-visiting the common approach of identifying foraging activity within low-resolution dives.
We used high-resolution time depth recorder (TDR) and acceleration datasets from two SES that visited the peri-Antarctic margin during their post-breeding foraging trip, and a high-resolution TDR dataset from a Weddell seal during six winter months. These high-resolution dive data were degraded into equivalent SRDL low-resolution dives to find the most appropriate method and index to: (1) detect and quantify within-dive foraging periods in low-resolution dives when no concurrent information on prey encounters are available; and (2) use concurrent prey capture attempts (PrCA) estimated for the SES from high-resolution acceleration data to independently validate the most promising low-resolution index.

Methods
Two adult female SES (length: 266 and 255 cm) were captured at Kerguelen Island (49°20′ S, 70°20′ E) in early November 2010 before their post-breeding foraging trip. One adult female Weddell seal was captured in February 2008 after its annual moult at Dumont D'Urville (66°40′ S, 140°00 E) (length 230 cm). Similar capture and tagging procedures were used for both species and are fully described in [21]. A TDR combined with an accelerometer (TDR Mk 10 X, Wildlife Computers) and a TDR (Mk 10, Wildlife Computers) was head-glued to the SES and to the back of the Weddell seal, respectively. The TDRs all recorded depth at 1 Hz. For the SES, acceleration was recorded in all three axes at 16 Hz.
The number of prey capture attempts (PrCA) was calculated for each dive from the concurrent high-resolution acceleration data [33,34]. A full description of the acceleration data filtration process and definition of PrCA occurrence are given in [9].

Fine-scale analysis of foraging behaviour
The high-resolution dive data were processed with a new approach which accurately identifies the parts within a dive where a diving predator displays foraging behaviour based on the vertical sinuosity in the dive profile [21]. Only dives below 20 m were analysed for both species. The method is fully described in [21] and briefly summarised below. Each dive was summarised by an optimised broken stick algorithm which (1) iteratively selected a series of inflexion points for individual dives, and multiple summaries were made for each dive based on a varying number of inflexions; (2) from this suite of summaries, the number of broken stick points (inflexions) that best summarised the dive shape was selected; (3) subsequently, the complete set of dives independently of their depth, duration and complexity was described; and (4) for each dive part (i.e. between two inflexion points) an index of vertical sinuosity as the ratio between the vertical distance swum in a linear path (i.e. depth difference between two considered inflexion points) and the sum of all the vertical distances the seal has actually swum in that dive part was calculated. Vertical sinuosity ratio (hereafter sinuosity) takes a value of 1 when the individual swims in a straight path during this part of the dive. Any deviation from a straight path decreases the sinuosity ratio towards 0. By expanding the definition of an area restricted search (ARS) from the horizontal dimension into the vertical dimension, the approach detects two types of behaviour according to their sinuosity, with: (1) highly sinuous segments indicating "hunting" (0 < vertical sinuosity > 0.9) and (2) less sinuous segments indicating "transiting" (0.9 ≤ vertical sinuosity ≥ 1). The time spent in the hunting mode within a dive was summed for each dive and used as an index of the foraging effort (hereafter, "hunting highres time"). Dives with more than 1500 s spent in hunting highres time were scarce and therefore not considered in further analysis (9 and 10 dives for the SES and the Weddell seal, respectively).
As described in [21], dives of the Weddell seal dataset containing segments associated with abnormally high vertical ascent/descent rates were removed (23 dives in the Weddell seal dataset).

From high-resolution to low-resolution dive datasets Simulation of a low-resolution dive dataset and calculation of foraging effort indices
To quantify the foraging effort in low-resolution dives, it was necessary to find an index similar to the hunting highres time. First, we used the high-resolution dives to generate the equivalent low-resolution profiles provided by CTD-SRDLs (conductivity temperature depth-satellite relayed data loggers) using a broken stick algorithm [11]. The SRDL datasets were created by selecting six data points for each high-resolution dive: the two surface points marking the beginning and end of each dive, the maximum depth point and the three other most informative inflexion points. This is the same method used to summarise dive data transmitted by SRDLs [11].
Then for each dive, we calculated five different indices that could be potentially used to infer foraging effort: 1. The time spent at more than 80 and 60 % of the maximum dive depth (hereafter, bt80 and bt60). Foraging is often assumed to occur during the bottom phase of a dive with bt80 being used as an index of foraging effort for low-resolution dives [31,[35][36][37][38]. However, foraging activity also occurs above the bottom phase [9,14,18,21]. We therefore calculated the bt60 to encompass a broader range of within-dive activity. 2. The rate of change (m s −1 ) between the surface and the first or last inflexion point (i.e. descent or ascent rate). The broken stick algorithm detects the most informative changes in a dive profile; therefore, the first and last segments of the dive are the most likely to reflect the dive descent and ascent phases.
We tested descent and ascent rates as possible candidates of foraging effort indices as they can reflect prey patches that a seal would want to reach and return to faster [15,20,39], but also impact the time allocated to foraging activity due to its energetic costs [16,39,40].
3. Time allocation at depth index (TAD) [11]. The index takes values close to 1 when the area enclosed by the dive profile is maximal (i.e. "square-shaped dive") towards values close to 0.5 when the dive area is minimum (i.e. "V-shaped dive") given a set speed. The V-shaped dive represents dives where equal time is spent at all the depths encountered; conversely the square-shaped dive represents dives where a seal maximises its time at depth. TAD values close to 1 indicate that a seal has spent more time at a given depth reflecting potential foraging activity. 4. Hunting time calculated using low-resolution dive data (i.e. hunting lowres time). A recent study has shown that hunting mode in high-resolution dives (calculated using vertical sinuosity, see "Fine scale analysis of foraging behaviour" and [21], Fig. 1a, c) was associated both with more PrCA and decreased vertical velocities (SES: 0.3 ± 0.001 m s −1 , Weddell seal: 0.13 ± 0.13 m s −1 ; [21]). However, vertical sinuosity cannot be calculated for low-resolution dives. Instead, for each low-resolution dive broken stick segment, we calculated the concurrent vertical rate of change assuming that decreased vertical rates would be indicative of foraging (m s −1 , Figs. 1b, d, 2). According to this, the first mode of the distribution of vertical velocity in low-resolution dives was used to define a set of thresholds to identify foraging behaviour (Fig. 2). Thresholds from 0.1 to 0.7 m s −1 and from 0.1 to 0.9 m s −1 were tested for the Weddell seal and the SES, respectively. These different thresholds were used to discriminate between "low-speed" (hereafter "hunting lowres ") segments vs "high-speed" (hereafter "transit lowres ") segments in low-resolution dive data. Then, for each dive and threshold, we calculated the total time spent in "hunting lowres " segments (i.e. within-dive hunting time calculated using low-resolution dive data-hereafter "hunting lowres time") and compared it to the corresponding "hunting highres time" (Table 1). For both species, hunting time indices correlated best and did not vary much for threshold values between 0.3 m s −1 and 0.6 m s −1 ( Table 1). The 0.4 m s −1 threshold was the most parsimonious across both species and SES individuals. Therefore, we used this threshold to calculate the "hunting lowres time" in further analysis (Fig. 1c, d). From high resolution to low resolution: concordance of within-dive parts of intensified foraging effort. High-resolution dive profile (black line) were summarised by the optimal broken stick method (a Weddell seal, c SES) and degraded in SRDLs low-resolution dives (b Weddell seal, d SES). Red lines represent "hunting highres " (highly sinuous parts of high-resolution dives) and "hunting lowres " (segments associated with vertical velocity ≤0.4 m s −1 of low-resolution dive) mode broken stick segments for high and low resolution, respectively. Conversely, blue lines represent "transit highres " (straighter parts of high-resolution dives) and "transit lowres " (segments associated with vertical velocity >0.4 m s −1 of low-resolution dive) mode broken stick segments for high and low resolution, respectively. Dotted lines represent the 80 (orange) and 60 % (green) of maximal dive depth. The green dots indicate prey capture attempts for the SES dataset (estimated from high-resolution acceleration data)

Statistical analysis
The relationship between the five low-resolution foraging indices and the hunting highres time was analysed using Spearman correlations (function cor; R development core team, 2008) and this indicated that hunting lowres time was best correlated with the hunting highres time (R 2 SES = 0.61, R 2 Weddell seal = 0.94, see Additional file 1). We therefore fitted linear models to investigate the relationship between the hunting highres time and the hunting lowres time (function lm; [41]) for both species. The residuals of this preliminary fit showed that 141 SES dives were not well explained by the model and weakened the relationship (see Additional file 2). They were associated with an overestimation of the hunting time when using the low-resolution index (dives associated with residuals ≤−400). The latter is likely to be related to the occurrence of rare "drift" dives that would be associated with "low-speed" segments in low-resolution dives, but not with an increased vertical sinuosity in high-resolution dives. In agreement with our assumption, these dives were also associated with lower than average PrCA (3 ± 6 PrCA instead of 9 ± 0.05 PrCA). These dives were excluded from the dataset before repeating the analysis described above.

General diving behaviour
The TDRs recorded the diving behaviour of two SES for 72 and 73 days from November to January 2011 (see Table 1 in [21]). The seals performed 3941 and 4254 dives with on average (mean ± SD) 53 ± 1 and 56 ± 1 dives per day, respectively (see Table 1 in [21]). The mean maximum dive depths were 511 ± 4 m and 475 ± 4 m with in average dive durations of 23 ± 0.01 min and 21 ± 0.1 min, and dives were associated with 8 ± 0.06 PrCA (max: 39 PrCA) and 10 ± 0.05 PrCA (max: 40 prCA), respectively . The threshold of 0.4 m s −1 was used for both species to discriminate "low speed" (i.e. "hunting lowres ") segments versus "high speed" (i.e. "transit lowres ") segments in low-resolution dive data. The total time spent in "hunting lowres " segments for each dive was used as an index of foraging effort (i.e. "hunting lowres time") (see Table 1 in [21]). The diving behaviour of the Weddell seal was recorded for 182 days from February to August 2008 (see Table 1 in [21]). The seal performed 11452 dives with on average 63 ± 24 dives per day (see Table 1 in [21]). The mean maximum dive depth was 67 ± 54 m with average dive durations of 10 ± 6 min (see Table 1 in [21]).

From high-resolution to low-resolution dives: estimation of foraging effort Comparison between foraging effort metrics
Of all the low-resolution dive foraging effort indices, the hunting lowres time (see "Simulation of a low-resolution dive dataset and calculation of foraging effort indices") was best correlated with the hunting highres time for both species (R 2 SES = 0.67 and R 2 Weddell seal = 0.94, Table 2). Two dives for each species are presented as an example of the concordance between the parts of the dive where foraging occurred for high-and low-resolution dives, respectively (Fig. 1). For the SES, the second best correlated index with hunting highres time was bt60 (R 2 = 0.4) followed by bt80 (R 2 = 0.3, Table 2). The ascent rate correlated least with hunting highres time (R 2 = 0.001, Table 2). For the Weddell seal, the second best correlated index with hunting highres time was bt60 (R 2 = 0.7) followed by bt80 (R 2 = 0.5, Table 2). The TAD index correlated least with hunting highres time (R 2 = 0.03, Table 2).

Relationship between low-and high-resolution dive index of foraging effort
Linear models were fit to hunting highres time and hunting lowres time for each seal (Fig. 3). The fit of the model for the Weddell seal was good ( Fig. 3 and see distribution of the residuals Additional file 3). For the SESs, removing the 141 likely drift dives (see "Statistical analysis", Additional file 2) improved the fit of the model (see distribution of the residuals Additional files 2b [before], 3b [after]) and the strength of the relationship between the variables (Additional file 2 [before], Fig. 3b [after]). The relationship between hunting highres time and hunting lowres time was positively significant (p value <0.001) for both species, but stronger for the Weddell seal (R 2 SES = 0.67 and R 2 Weddell seal = 0.94, Fig. 3; Table 2).

Table 1 Correlations between hunting times of high-and low-resolution dives according to different vertical velocity threshold values
R 2 of Spearman correlations between hunting time highres and hunting time lowres . Hunting highres time is the total time spent in "hunting highres " mode (highly sinuous phases of the dive) per high-resolution dive (see "Fine scale analysis of foraging behaviour", [21]). Hunting time lowres is the sum of the total time spent per lowresolution dive in segments associated with vertical velocity inferior to a defined threshold. The set of thresholds tested was chosen to encompass the first mode of the distribution of the vertical velocity associated with each segment in low-resolution dives (see Fig. 2 Table 2 Comparison between high-resolution hunting time and each low-resolution foraging effort metric R 2 of Spearman correlations between high-resolution and low-resolution foraging effort indices after removing 141 likely SES drift dives (see "Statistical analysis", Additional file 1). Hunting highres time is the total time spent in "hunting highres " mode (highly sinuous phases of the dive) per high-resolution dive. The low-resolution dive foraging effort indices are: the time spent below 80 and 60 % of the maximum dive depth (bt80 and bt60), the descent/ascent rate from/to the surface to/from the first/last broken stick inflexion point, the time allocation at depth index (TAD index) and the hunting lowres time (see Fig. 1  High-resolution dives were summarised by more segments than low-resolution ones. Consequently, highresolution dives are characterised by more segments of each behavioural mode that are shorter in duration than low-resolution segments (Additional file 4). For both resolutions, the average depths of hunting and transit segments are similar showing the concordance in behavioural mode detection with the two methods (Additional file 4; Fig. 1). On average, hunting highres time (see "Fine scale analysis of foraging behaviour") was 9 ± 0.05 min and 6.5 ± 0.05 min per dive representing 42 ± 0.2 % and 59 ± 0.3 % of the corresponding dive duration, for SES and the Weddell seal, respectively (see [21]). On average, hunting lowres time was 9 ± 0.06 and 7 ± 0.05 min per dive, representing 44 ± 0.3 % and 70 ± 0.3 % of the corresponding dive duration, for SES and the Weddell seal, respectively. Southern elephant seals spent 41 and 42 % of their total dive duration foraging when considering hunting highres and hunting lowres time, respectively. The Weddell seal spent 67 and 77 % of their total dive duration foraging when considering hunting highres and hunting lowres time, respectively.

Foraging effort and prey capture attempts in SES
In SES dives, prey capture attempt rates were three times higher in hunting segments than transit ones for both resolution datasets (Table 3). In addition, hunting segments were associated with four times more PrCA than transit ones with 77 and 68 % of total PrCA occurring during hunting highres and hunting lowres segments, respectively (Table 3; Fig. 1c, d).

Discussion
We present a new method for identifying areas of hunting activity within low-resolution dive data, which can be used at the scale of individual dives. Our results show that (1) of five potential indices, the hunting lowres time was the most correlated of the indices to the hunting highres time, (2) times allocated to foraging at the dive or trip scale were quite similar when estimated by hunting highres and hunting lowres time, (3) 77 % of total PrCA occurred in hunting highres mode segments of high-resolution dives and despite dive information being much more degraded in low-resolution dives, 68 % of total PrCA occurred in the hunting lowres segments which were also associated with four times more PrCA than transit lowres segments. Importantly, the concurrent prey capture attempts (PrCA) estimated from high-resolution acceleration data for SES supported the low-resolution foraging effort index identified with our method.
Unlike studies that only consider foraging behaviour within the bottom phase of a dive [14,35,36], the "hunting time" method [21] considers potential foraging activity within the whole dive. We show that the same method can be adapted to low-resolution dive data from SRDLs and still detects foraging within a dive and most of the associated PrCA, despite being highly degraded information.

Foraging effort in low-resolution dives Hunting lowres time
Of all the low-resolution foraging effort indices tested, the hunting lowres time was the best correlated to the hunting highres time. The good correlation between hunting highres and hunting lowres time and the similarities in average hunting times at the dive and trip scales indicate that in most cases low-resolution dive segments of decreased vertical velocity (i.e. "hunting lowres mode") are also associated with increased vertical sinuosity (i.e. wiggles).
However, the correlation between hunting highres and hunting lowres time was overall lower for SES than the Weddell seal, and for both species some dives were not well correlated. This may be due to several reasons. Firstly, high-resolution dives are summarised by more numerous (on average, 12 segments; see [21], Additional file 4), shorter broken sticks segments which allow for the detection of behavioural changes at a finer scale and more accurately than in low-resolution dives that are summarised by five segments only. This is highlighted, for example, by the higher PrCA rate and percentage of total PrCA associated with hunting highres segments compared to hunting lowres segments (Table 3). Moreover, SESs perform, on average, longer and deeper dives than Weddell seals, which means that more information is lost when going from high-to low-resolution data. Secondly, the estimation of foraging effort in high-resolution dives relies on the calculation of vertical sinuosity which is not accessible in low-resolution dives. Therefore, in the case where sinuous parts of high-resolution dives are also associated with a decrease in vertical rates, the concordance between hunting lowres and hunting highres parts would be optimal. On the other hand, in some dives a seal could increase its vertical sinuosity without increasing its time spent in the same part of the water column (i.e. vertical velocity). This would be the case if the seal pursues a prey moving faster vertically than horizontally in the water column or if "wiggling" while transiting at a faster rate than the defined threshold. Another mismatch between hunting highres and hunting lowres parts would exist when a seal decreases its vertical transiting rate without performing wiggles. This would be observed if a seal meanders at depth exploring the water column horizontally to find a prey patch, orientate or glide (e.g. drift dives for elephant seals, [42]). Simultaneously recorded information on prey encounters and 3D diving movements would provide a better understanding of these different scenarios (e.g. [43]).
Nonetheless, our results are in agreement with our assumption that diving predators adjust their diving behaviour to maximise the time spent in a prey patch by displaying vertical ARS (i.e. increased vertical sinuosity and decreased vertical speed). Vertical sinuosity is often used as an index of foraging effort and/or feeding success [12][13][14]44]. Moreover, even though acceleration data cannot discriminate between successful prey capture attempts and unsuccessful ones and may not represent actual feeding success, it is a powerful proxy for quantifying predator-prey encounters [33,[45][46][47]  Low resolution 68 32 providing valuable information on the distribution and abundance of prey in the water column [29,30,48]. Similarly to the hunting highres time, the hunting lowres time has the advantage of incorporating the entire dive profile to detect intensified foraging effort according to behavioural changes (see [21]) rather than a putative bottom phase. This method relies on a defined vertical velocity threshold. Therefore, preliminary analyses are advised (as before using any index or method on a new dataset) and would require the user to check the distribution of vertical velocities to adapt the method to his/her dataset. Then, hunting lowres mode segments and hunting lowres time could be used as a tool to: (1) isolate areas of foraging behaviour within a dive and (2) quantify the overall dive foraging effort using only low-resolution dive datasets.

Bottom time indices
Although not the best indices, bottom times (bt80 and bt60) were also correlated with hunting highres time for both species. It is a commonly accepted idea that foraging activity mainly occurs during the bottom phase of a dive [15,16,18,49] and so some measure of bottom time is often used as an index of foraging effort to investigate habitat use and dive behaviour [31,[35][36][37][38]. However, using only bt80 as an index of foraging effort in lowresolution dives could be misleading in over-(SES) or under-estimating (the Weddell seal) the actual time spent in intensive foraging mode (see [21]). Further, hunting occurred several times within a dive and not just during the bottom phase. This is perhaps why, for both species, incorporating a greater proportion of the dive profile in the bottom phase to calculate the bt (from bt80 to bt60) strengthened the correlations with hunting highres time.
Overall, we see two main limitations of using bottom time indices: these methods (1) only consider a proportion of the dive profile and it is often difficult to accurately define the actual bottom phase; and (2) assume that foraging is occurring only in one part of the dive instead of considering behavioural variations within the dive. Alternatively, the "hunting lowres time" method is a more appropriate measure of foraging effort, because it incorporates the entire dive profile and detects withindive behavioural changes.

TAD and transiting rate indices
For both species, there were weak correlations between the TAD index, the descent/ascent rates and hunting highres time. Dive classification studies often assume that square-shaped dives are foraging dives [12,49,50]. However, our results suggest that attributing an overall function to the dive based only on its shape might oversimplify the complexity of the within-dive activity of diving predators. Indeed, [21] demonstrated the dive complexity of seals (both Weddell seal and SES) that alternated between transit and hunting behaviour several times within each dive. We tested descent and ascent rates as possible candidates of foraging effort indices, as both are known to influence foraging activity of marine predators in different ways: (1) reflect favourable areas that a seal would want to reach and return to faster [15,20,50], (2) be used to prospect the water column and find a patch of prey [51,52], (3) impact the time allocated to foraging activity due to its energetic costs [16,39]. Without any information on changes in body condition or metabolic rate, it is difficult to draw conclusions based on these assumptions. However, our results suggest that only using transit rates poorly reflects the time spent in intensive foraging.

Ecological applications
During the last decade, SRDLs have been widely deployed on several species. These tags were primarily designed to monitor animal behaviour, but the integration of other sensors (temperature, conductivity, ambient light, etc.) provides insight into the direct responses of individuals to their environment [38,53,54] . Other projects like the Tagging of Pacific Pelagics (TOPP) has also deployed thousands of similar tags including SRDLs [8]. These numbers are impressive and show that millions of low-resolution dive profiles were or are to be analysed. Our study showed that despite degraded information, insights on foraging activity (i.e. detection of withindive intensive foraging occurrences and quantification of foraging effort) could be obtained when using lowresolution dive datasets as long as using a metric that is based on the detection of changes in predator's diving behaviour. Our results were supported by independent PrCA, but the integration of complementary sensors (e.g. video recorders, stomach/oesophageal temperature sensors) from which feeding success could be inferred [43,47,57] would allow to further validate the method. This method was developed on a small amount of individuals, but on numerous dives and on two species displaying a broad range of different dive types [12,13]. Moreover, the consistency of foraging strategies across different species [49] and the simplicity of the index suggest that this method could be applied to a broad range of diving species. For example, the hunting highres and/or hunting lowres time could be included in the metrics calculated on board the tags and transmitted by SRDLs.
The behavioural adjustments of top predators when diving are expected to primarily reflect changes in their prey distribution in the three dimensions of the environment [3,4]. Several methods have been developed to quantify how individuals concentrate their search effort along a given path (e.g. Hidden Markov model [58,59], first passage time [60], state space model [61,62]) and used to relate the defined horizontal ARS to particular structures of the environment (e.g. oceanographic features [31,53,63], sea ice [64,65], topography [66,67]). Bailleul et al. [36] underlined the importance of integrating a vertical index of foraging effort to better identify foraging areas when studying deep-diving marine predators. Indeed, for many marine predators, feeding occurs at depth and several studies demonstrated the association between oceanographic features of the water column and predator's diving behaviour [9,29,38,52,68]. The inclusion of hunting lowres time when predicting switching between movement states (see [69]) would allow integrating a quantification of foraging effort at depth (where they encounter the prey) based on the detection of changes in diving behaviour and to relate the actual predator's behaviour in the three dimensions to the heterogeneous environment they respond to. This method could therefore be a useful tool in both behavioural and ecological studies to characterise and/or predict at broad and fine scale which environmental features are likely to impact marine predators and their prey.