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Estimating total body heat dissipation in air and water from skin surface heat flux telemetry in Weddell seals
Animal Biotelemetryvolume 3, Article number: 50 (2015)
Accurate estimates of thermoregulatory costs in air and water are necessary to predict the impacts of changing habitats to individuals and populations of ice-obligate seals. Investigations that would provide such estimates of thermoregulatory physiology over natural activities in free-ranging marine mammals have been limited. This study describes a biotelemetry method for measuring skin surface heat flux in free-ranging Weddell seals. These data are then applied to estimations of thermoregulatory heat dissipation from multiple point measurements.
Data loggers collecting skin surface heat flux telemetry at four body locations (head, neck, axilla and flank) from 40 free-ranging Weddell seals were deployed and recovered over periods of 1–13 days in Erebus Bay, Antarctica. We derive equations for estimating total body heat dissipation from these point measurements and demonstrate the subsequent calculation of heat dissipated from obligate thermoregulatory costs. Heat lost to air or water was described by heat flux sensor data extrapolated across the whole-body surface, as informed by skin surface infrared thermal patterns. Heat lost directly to the ice surface during haul-out was best described by physical features of the seal, rather than environmental variables. Heat flux inputs from the four sensors could be reduced to two principal components, and corresponding regressions indicated that the axilla and flank sensors were most correlated with total body heat dissipation in air and water. Variability in head sensor heat flux was least described by the two principal components.
This method can be used to estimate total body heat dissipation during daily activities in marine mammals, and under steady-state conditions, it can be used to identify obligate thermoregulatory heat costs. Ultimately this type of data will provide relevant empirical information for parameterizing models of thermoregulatory energetics in ice-obligate seals, which may improve our ability to predict outcomes of altered ice conditions at high latitudes.
One of the most predictable outcomes of current polar ice dynamics is a dramatic change in extent and persistence of Arctic summer ice [1, 2]. By comparison, regional ice dynamics are highly variable in the Southern Ocean , ranging from thinning and loss [4, 5], to increased regional sea ice extent and persistence due to increased fragmentation of ice shelves [1, 2, 6]. Any changes in sea ice extent have the potential to impact polar pinnipeds (seals and sea lions), which rely on this habitat as a platform for resting, molting, and pup rearing. Further, these species stand to incur thermoregulatory costs associated with significant shifts in ice dynamics due to a forced change in the amount of time spent in air versus water. Accurate predictions of individual and population level outcomes of habitat change rely on accurate knowledge of baseline physiology and its plasticity. Several studies have investigated thermoregulatory physiology of polar pinnipeds by modeling, from single sampling events, or under specific controlled conditions [7–17]. In contrast, biologging technologies are only beginning to be applied to study thermoregulation in free-living marine mammals at any latitude [18–20].
Pinnipeds, particularly phocid seals, reduce heat transfer to the environment by reducing skin temperature, and insulating the skin surface from the body core with a thick layer of subcutaneous blubber. However, the rate of heat loss by aquatic homeotherms is 1.5–4.5× greater in water versus air, as water has 25× greater thermal conductivity . Components of heat loss also fundamentally differ between air and water. In air, heat transfer can occur by conduction, convection, radiation and evaporation, while only free and forced convection are relevant during diving.
A basic principal of thermoregulation is that all energetic processes liberate heat. Metabolic heat generated via basal metabolism, locomotion and digestion (i.e., the heat increment of feeding, HIF) as examples, may be applied to the maintenance of homeothermy. The degree to which locomotory heat production and HIF can be captured and will substitute for active thermogenesis appears to be species and environment specific . Studies in semi-aquatic and marine homeotherms that have directly tested a substitutive effect of HIF on thermoregulatory heat production have yielded mixed results [23–25]. Increased postprandial metabolic rate has also been described in sea otters , fur seals  and phocid seals [8, 28–30], but to what degree HIF may defray thermoregulatory costs in the post-dive surface period is not clear. Heat derived from locomotion may also offset obligate heat production at temperatures below the thermoneutral zone, including in diving endotherms (reviewed by ). Ultimately, the heat required to maintain stable body temperature that is not captured from HIF or locomotion must be met by facultative thermogenesis. We can infer total metabolic heat production in a core homeotherm by measuring total heat loss. By placing this information in the context of behavior (e.g., swim speed) and physiological state (e.g., fed/fasted), we can estimate the energetic (heat dissipation) costs of specific processes, including obligate thermoregulation.
Describing total metabolic energy production as the sum of basal metabolism (BM), cost of locomotion (CL), HIF, and thermoregulation (TR) is a valid short-term simplification for diving animals that excludes costs of anabolism, respiration and excretion . From this, we infer a comparable relationship for metabolic heat loss under conditions of thermal homeostasis:
where TBHD is total body heat dissipation, and H denotes the heat dissipation from each metabolic process (BM, CL, HIF and TR).
We present a method for measuring heat loss using recoverable dataloggers over short-term deployments via skin surface heat flux (HF) in a free-swimming polar seal. We calculate TBHD in air and water from HF point measurements from species and individual-specific morphometric information. This method will provide relevant empirical data for parameterizing models of thermoregulatory energetics in ice-obligate seals, which may improve our ability to predict outcomes of altered ice conditions at high latitudes. We chose the Antarctic Weddell seal as a model in which to develop this technique due to accessibility for the multiple handling events needed for high-resolution logged data recovery relative to Arctic seals. Weddell seals are also an ideal species for the study of thermoregulation [13, 14] due to their wide natural intra-specific variation in body size and condition, particularly during the breeding season.
Study animals and instrumentation
All work was conducted under Marine Mammal Protection Act (#15748) and Antarctic Conservation Act (#2012-003) permits. We collected HF data from 40 free-ranging Weddell seals during the austral spring (October–December 2011 and 2012) in McMurdo Sound, Antarctica (77°53′ S 166°40′ E). We selected study animals from four life history categories to incorporate a range of intraspecific size and body condition: weaned pups (>35 days, n = 10), juveniles (1–2 years old, n = 10), adult females that did not produce a pup (skip breeders, n = 11), and post-weaning adult females (n = 9). Seals were initially restrained by head bag and anesthetized  for health assessments and instrument attachment. Animals carried front and rear time-depth recorders placed on the dorsal midline (Mk10-custom, Wildlife Computers, Redmond WA), which each logged 3-dimensional acceleration and two channels of HF data. Combined, the data loggers allowed us to monitor skin surface HF and temperature at four body sites—head, neck, axilla and flank (Fig. 1; description of site selection below). HF sensors (25.4 mm diameter, Concept Engineering, Old Saybrook, CT), which also measured surface temperatures, were placed on the shaved skin surface of the seal. Sensors were affixed to the skin with a coating of thermally conductive adhesive paste (Omegatherm OTC-201, Omega Engineering, Stamford CT) and secured for multi-day deployments with a thin cuff of PVC that protected the outer edge of the circular HF sensors and was superglued (Loctite 422 cyanoacrylate gel) to the animal’s skin (Fig. 1, inset). The cables connecting the HF sensors to the data loggers were tacked to the fur with small neoprene strips. Body temperature and feeding signals were monitored from a stomach temperature pill inserted by gavage (STP, Wildlife Computers), which transmitted data to the front logger. Animals additionally carried both an ARGOS satellite and a VHF radio beacon to enable recapture and instrument recovery.
Additional data collected
Infrared thermograms (IRT) were collected to inform sensor placement and HF analyses. IRTs were collected from the lateral surfaces of our dry, instrumented animals prior to handling (n = 34 complete IRT and HF datasets, plus n = 3 juveniles with no recovered HF data). An analysis of these data is presented elsewhere . We also imaged recently emerged, wet seals (unknown adults, n = 14) as well as a drying time series (n = 7). Images were collected with either a FLIR P25 or P640 infrared camera (FLIR Systems, Danderyd, Sweden), with resolution of 320 × 240 and 640 × 480 pixels, respectively. Cameras were factory calibrated to an absolute accuracy of ±2 °C and sensitivity of <0.10 °C. Additional details of imaging equipment and conditions are outlined in Mellish et al. . Wind speed, air temperature and humidity were recorded for each imaging event with a SPER Scientific Ltd Mini Environmental Quality Meter (Sper Scientific Ltd, Scottsdale, AZ, USA). Over the deployment periods, air temperature and wind speed were obtained in 10-min intervals from local weather stations (US Navy SPAWAR Systems Center Atlantic, Polar Programs IPT).
Morphometrics and blubber depths were collected as baseline body size and condition data. Sedated seals were weighed with a tripod and suspended scale (±0.5 kg, San Diego Scale). Blubber depth was measured at 10 body locations by imaging ultrasound [13, 33, 34]. Body surface area and volume were collected for each individual by photogrammetry. Four simultaneous images were captured of each individual with Nikon D100 (2011 animals) or Olympus EPL-1 (2012) cameras, such that the animal’s nose and a reference marker at the rear of the seal were visible in all images. The cameras were pre-calibrated in Photomodeler 3D modeling software (Eos Systems, Inc., USA). Reference markers were placed on the seal in several locations to scale and reference the images. Photo sets were imported into Photomodeler for referencing (using all available matched reference points in the image) and orientation (two x and two y coordinates per set) among the four photos. Wireframe models were created of each seal from the matched image sets. The resulting wireframe was exported to Rhino 3D modeling software (Robert McNeel & Associates, USA), which was calculated the surface area and volume of the wireframe. In addition to whole-body surface area and volume, we determined the surface area of hauled-out seals in contact with the ice.
As a measure of underwater activity for use in HF modeling, we calculated overall dynamic body acceleration (ODBA) using the front accelerometer. We derived static acceleration for each dimension using 3-s smoothed data (per [35, 36]), and converted acceleration by 1 g = 9.83 m/s2.
A schematic outlines data processing and analyses (Additional file 1). Downloaded data from the two time-depth recorders were synced by time stamp and depth trace using HexTool (Wildlife Computers) and Igor Pro (Wavemetrics). A signal spike due to satellite beacon transmission was removed from depth, HF and skin temperature channels with a 3-point median filter. Each dataset was visually examined to determine the point in each HF/temperature channel that indicated the end of usable data (i.e., sensor or cable damage). HF data were further filtered to remove values > 0.3 mV in water; Δ HF in water <−15.0 mV/s or >5.0 mV/s), which represented the high and low ends of the expected data range (−HF indicates heat loss to the environment). Skin temperature data were filtered to remove data outside the maximum values and rates of change that were reasonable for the study system and were observed during activities of known high variability (e.g., entering/exiting water). Temperature data points were removed after 3-point median filter if <−40 °C; <−2 °C in water; >15.0 °C for head sensor in water; >5.0 °C for all other sensors in water; Δtemperature <−2.0°/s or >0.3°/s. Filtered data for each sensor were subsequently converted from mV into W/m2 using calibrations for each sensor provided by the manufacturer following methods recommended by the American Society for Testing Materials. Converted data were multiplied by a uniform correction factor (*1.25) to account for thermal resistance resulting from the insulating properties of the sensor and attachment itself. This correction factor was experimentally determined as described in Willis and Horning . In brief, a test rig was constructed to measure heat transfer between adjacent, insulated compartments of recirculating water regulated to specific temperatures. Heat transfer across a bare sensor (expected values) was compared to transfer across a second sensor fitted with an additional HF disc and attachment (observed values). Five replicate measurements each were conducted at temperature gradients stepped from 0 to 20 °C in 2° increments. Observed values were regressed against predicted and the correction factor calculated as the inverse regression slope.
HF sensor sites were selected from a suite of wet and dry animal images, incorporating sites that were stable or variable across a range of temperatures. Thermal imaging software (FLIR Researcher 2.8) was used to generate a temperature profile histogram for regions of interest. We applied principal components analysis with a varimax orthogonal rotation  to determine the number of independent variables needed to describe variance among measurements from the four HF sensor sites. Relationships between IRT data and HF among sensor sites, between states (wet versus dry), and among sampled groups were evaluated with ANOVA and linear mixed effects (LME) models with individual animal as a random factor, and with pairwise comparisons generated from Tukey’s post hoc tests.
To extrapolate four point HF measurements into a whole-body measurement of heat loss, IRT surface temperature patterns in wet and dry seals were used to estimate the proportion of body surface best explained by each HF sensor. Specifically, we measured the surface area of body regions contiguous with each sensor that shared the same range of IRT temperature as the focal measurements at that sensor site, using ImageJ (version 1.48a, National Institutes of Health, USA). For TBHD determination, HF from each sensor was applied over its corresponding surface area, with the remaining non-contiguous body regions represented by average HF from neck and flank.
Associations between heat lost to the ice substrate and animal (mass, average blubber depth, surface area, volume, surface area: mass and surface area: volume ratios) or environmental variables (air temperature, wind speed) were analyzed with LME models. Best-fit LME models were determined by AIC model selection methods. Intercepts of TBHD with activity in water were determined by quantile regression . All statistical analyses were conducted in R version 3.0.2 . Negative HF values indicate heat lost from animal to the environment. Data are presented mean ± SD unless otherwise noted.
A total of 131 days of data with all four sensors functioning was retrieved from our 40 deployments (ranging from 1 to 13 days). In two individuals, one data logger failed, returning only two HF sensor records over the entire deployment. For the remaining 38 seals we recovered an average of 82.6 h of four-sensor data (range: 6–307 h). Seal mass ranged 5.7-fold (90-520 kg) and surface area to volume ratio varied 1.9×. Body temperature measured by STP was 37.3 ± 0.4 °C (grand mean) in hauled-out, post-absorptive Weddell seals.
Heat flux site selection
HF sensors were placed on the head at midline, and left side of the body at sites we termed neck, axilla and flank (Fig. 1). These sites were identified as warm/cool or stable/variable across IRT images of dry resting and wet, recently emerged seals. These criteria were intended to reflect the range of thermal patterns on the body surface of Weddell seals. Initial deployments with six sensors (n = 4 seals; Fig. 1), included the shoulder and hip; however, HF at these two sites did not fit the criteria of warm/cool and stable/variable.
We compared focal IRT temperatures at the four sensor sites, and normalized values as difference relative to average surface temperature. For dry seals, both absolute and differential temperatures varied among sensor sites (p = 0.03; Fig. 2). Neck and head were universally the coldest and warmest locations, respectively (head versus neck p = 0.02). This trend was also apparent in wet animals but did not meet significance (p = 0.07; Fig. 2). Consistent with IRT data, skin temperatures recorded by HF sensors over the free-ranging period were also generally highest at the head site and lowest at neck (Fig. 3a, b). Heat loss to the environment was highest from head in both air and water (Fig. 3c, d). Underwater, mean HF was more than doubled at the head site (−204 ± 95.4 W/m2) compared to all other sites (neck: −82.3 ± 46.2 W/m2, axilla: −91.5 ± 86.8 W/m2, flank: −87.6 ± 36.6 W/m2). The axilla site was generally warmer than the flank site, and both displayed high HF variability, most obviously during haul-out (Fig. 3d).
Calculating total body heat dissipation
The surface area corresponding to the axilla temperature signature was 1.4× larger in recently emerged, wet seals (Tukey p = 0.01; Fig. 4), but head, neck and flank did not differ between air and water (p > 0.05). The flank region was significantly larger in juveniles compared to all other groups (LME F 12,165 = 5.3, p < 0.0001). To account for this, we applied group-specific values to this region (pup = 38.9 %, juvenile = 30.6 %, non-reproductive female = 41.9 %, post-weaning female = 38.7 % of visible surface area) when extrapolating HF point measurements into TBHD. The region associated with head was 6.0 % of the lateral surface area, while neck was 10.7 %. We applied the axilla value over 16.8 % of seal surface area to calculate TBHD from dry animals, and 22.8 % when animals were wet (Fig. 4).
To determine TBHD underwater, we applied the HF reading from each sensor to its corresponding body surface area (per Fig. 4), and assumed that the proportion of surface area explained by each sensor also represented HF on the animal’s opposite side. For seals in air, measurements were prorated to exclude the surface area of each individual (32.2 ± 0.01 % on average) in contact with the ice.
To more accurately model TBHD during haul-out, a predictive equation describing conductive heat loss to the ice was estimated opportunistically from our dataset. By identifying stable periods in the HF data of dry resting seals when sway approached −1 g, we isolated timepoints when seals were laying flat on their side with axilla and flank sensors pressed between their skin and the ice. Measured conductance in these instances ranged from −1.6 to −164.9 W/m2, with a mean of -67.2 ± 24.0 W/m2. There were no differences (p > 0.05) between life history groups in heat lost (W/m2) directly to the ice at either the axilla or flank sensor, nor were there significant differences between sensor locations.
We next examined the predictive value of animal morphometrics and environmental variables in determining heat loss to the ice during haul-out using these data. Best-fit LME models indicated that the physical characteristics of individual seals best correlated with heat loss to the ice were average blubber depth, surface area: mass ratio and body volume (LRT = 19.2, p < 0.001; Fig. 5a–c). Although air temperature was also related to this HF (Fig. 5d), this variable was not retained in the best-fit model when physical and environmental characteristics were considered together. Conductive heat loss to the ice during haul-out was best described by:
with average blubber depth in cm, body volume in L and surface area: mass ratio in cm2/kg.
To demonstrate how heat dissipation from obligatory thermoregulation (H TR) could be identified from these data, we derived Eq. 1 for Weddell seals in air and water. In air, we discount heat costs of locomotion from TBHD, and focused on animals hauled out more than 6 h to eliminate a potential contribution of HIF . HTR was therefore calculated by:
where H BM in W is a mass-derived value based on empirical data collected for resting Weddell seals in air  of 4.07 mLO2/kg/min (equivalent to 1.35 W/kg assuming RER = 0.77). For all seals in this dataset, the grand mean for H TR in air was −23.3 ± 220 W.
In water, we must eliminate activity and HIF to apply Eq. 3 to calculate H TR. Stomach temperature can be used to identify diving periods before first prey capture [40, 41], which will not contain HIF costs. For initial method development, we analyzed all in-water data together (including surface and dive periods, regardless of potential feeding). We used acceleration (ODBA) to represent activity. TBHD is generally highest at low acceleration (Fig. 6a), likely corresponding to time at or near the water surface. These data cannot reliably be used to estimate activity-free TBHD for HF models as it is not possible to separate additional heat loss due to heat dumping or perfusion changes to the skin on surfacing. Instead, TBHD was estimated at zero swim speed and water flow from the intercept of TBHD regressed against ODBA >0.5 g (Fig. 6b). To approximate the intercept representing a minimum boundary line of the plot rather than a least-squares regression, we analyzed these data with quantile regression, and identified the TBHD intercept from the 75 % quantile (Fig. 6b).
We again derived H BM from Weddell seals resting in water (3.58 mLO2/kg/min, equivalent to 1.19 W/kg) and diving (2.47 mLO2/kg/min, equivalent to 0.8 W/kg), based on previously published experimental data . For all seals in this dataset, a general estimate for H TR in water (including surface and dive periods and without discounting HIF) ranged from +77.6 ± 183 W when H BM for surface resting was used, to −7.7 ± 164 W using diving H BM.
Field applications: correlations between individual sensors and TBHD
To consider how much additional information is gained by using all four sensors, we evaluated the independence of the four datasets. The data was best contained in two principal components (PC; Table 1), which explained 41 % (PC1) and 26 % (PC2) of total HF variance. PC1 was best correlated to head, neck and flank HF, whereas PC2 was highly correlated with axilla HF (Table 1).
We also examined correlations between individual HF measurements and calculated TBHD with LME models. Not surprisingly, a full model (TBHD ~ HFhead + HFneck + HFaxilla + HFflank) best explained calculated TBHD in both environments (Table 2; p < 0.0001). AIC model selection for only models with single-sensor inputs indicated that the flank sensor best explains TBHD with in water, whereas AIC was lowest in air for the axilla model (Table 2). In dry seals (>6 h after haul-out), linear regressions with individual HF sensor channels also demonstrated that axilla explained only slightly less TBHD variation than the full model (r 2 = 0.65 versus r 2 = 0.78 for multiple regression with all four sites). By comparison, head (r 2 = 0.07), neck (r 2 = 0.10) and flank (r 2 = 0.15) alone were less reflective of TBHD. In water by contrast, even the most strongly associated location (flank, r 2 = 0.55) explained considerably less TBHD variance than the full model (r 2 = 0.90; head r 2 = 0.14, neck r 2 = 0.33, axilla r 2 = 0.51).
This study outlines a method for deploying HF telemetry on a free-ranging marine animal, and for deriving elements of a HF model from the resulting data. With additional analyses incorporating the behavior and physiology that were logged alongside skin surface HF, these data will ultimately provide insight into the thermoregulatory physiology of Weddell seals and other ice-obligate endotherms. Although several layers of calculations are required, and sufficient information about the model system is necessary to validate assumptions, it is possible to generate empirical thermoregulation data that could subsequently be used to frame questions about the impacts of changing ice cover on ice-obligate species. We can also use this dataset to demonstrate how, and under what conditions these inferences are possible, and to identify challenges in using the method.
Our data are generally comparable to previously published pilot measurements on free-ranging Weddell seals , yet offer several improvements. For two adult seals in water, Willis and Horning  observed point measurements of heat loss to the environment ranging 574.6–1866.2 W/m2 in two individuals. For the same population of seals, we observed in-water HF of adult females to range from +25 to −3805 W/m2. The wider HF range reported here is presumably due to a larger sample size, as well as slightly different sensor placement. Willis and Horning  measured HF at four locations along the body trunk from shoulder to hip, but not from head (where we consistently recorded the highest heat loss). Further, we used initial IRT data to determine that the consistently coldest point on the animal was the neck (Fig. 3), which was also not evaluated in the previous study. The HF sensors used in both studies appear similar; however, the current Concept Engineering sensors were solid discs, delivering more consistent performance across a range of depth and pressure than the previous hollow sensors. Further, we have refined our measurements with a greatly simplified attachment system to achieve a correction factor of 1.25× for the attachment, versus 3.42× reported previously. This indicates that our attachment resulted in a far lower impact on the actual measurement . While the core of our dataset is skin surface HF measurements, essentially similar to Willis and Horning , this study includes several conceptual steps forward. By combining IRT data with surface area/volumetric modeling for each individual, we were able to develop a system for extrapolating point measurements into a whole-body metric, and for determining heat lost directly to the ice during haul-out. We additionally collected and analyzed data from varied size and condition animals over a wider seasonal range, and included measurements in air and water to provide a broader picture of Weddell seal thermoregulation.
Regional heat flux
In order to collect data in air and water from free-ranging animals, whole-body metrics of heat loss are necessarily extrapolated from point measurements. Measurement locations must either be representative of total body heat flux, or encompass whole-body thermal variability when several locations are combined. Previous studies have identified high obligate heat loss associated with sensory systems (head, eyes and vibrissae) in pinnipeds [43–47]. IRT identified these regions as potential “hot spots” in Weddell seals, therefore head was included as a sensor site. While the head did demonstrate the highest skin temperatures and HF in this dataset, particularly in water, temperature dynamics were also extremely variable, occasionally approaching ambient during diving, with HF falling near zero (Fig. 3).
Significant heat loss is also possible from the flippers [48–52], which we did not measure. However, heat dissipation from phocid flippers is likely maximized only in warm ambient conditions, whereas they demonstrate limited thermal emissivity in cold [49, 53, 54]. Our sensor attachment system effectively reduces impacts on the measurement, but provides only a temporary attachment that may last several days or weeks, and is likely to detach from highly mobile areas. We, therefore, excluded the flippers for HF measurements partly due to logistics, and partly because it is reasonable to speculate that Weddell seals do not disproportionately rely on their flippers for thermoregulation. The previous analyses of IRT in dry resting seals did not demonstrate surface temperature distinctions between fore- and hindflippers, nor differences between flippers and other body regions . Further, a consistent distribution of arteriovenous anastomoses across the entire skin surface of Weddell seals also suggests that the flippers do not have an enhanced role in thermoregulation relative to the rest of the body .
The thermal signatures associated with axilla and flank sensors explained the largest portions of body surface area. Axilla was the only sensor associated with a differently sized thermal signature between air and water. The thoracic region has already been demonstrated as important for active thermoregulation in freely diving Antarctic fur seals , and our observation of a larger axilla thermal signature in recently emerged animals extends this finding to Weddell seals. Lateral axilla also displayed the highest skin temperatures and heat loss in water of all sites excepting head (Fig. 3), despite its association with the greatest regional blubber depth measured in this species . Together, this indicates that axilla may be an important site for obligate heat loss, perhaps reflecting its proximity to the body core. The flank sensor was, on the other hand, placed to capture activity-specific heat signatures underwater, according to a transient “hot spot” observed in IRT images of recently emerged seals, indicative of locomotory heat production and dissipation.
Field application: sensor sites
It is important to consider the challenges and limitations of this method for field data collection. We used four HF sensors, intended to capture the range and variability of thermal patterns across the body. Therefore, we determined the number of independent variables needed to describe HF variance among the four sensors as a way to consider the impact of reducing sensor number. Inputs from all four sensors were best described by two principal components. While head, neck and flank were highly associated with PC1, while axilla was highly associated with PC2 (Table 1), suggesting that data from only one sensor is not sufficient to capture the HF variability observed at our four sensor sites under all conditions. Importantly, regressions describing single-sensor HF versus calculated TBHD differed between air and water. Axilla HF was strongly related to TBHD in hauled-out seals (r 2 = 0.65), with limited improvement provided by other sensors (r 2 = 0.78 with all four inputs). This indicates that axilla alone is the most useful, of the sites selected here, for understanding Weddell seal thermoregulation in air. In water, however, flank (r 2 = 0.55) and axilla (r 2 = 0.51) explained similar variance in calculated TBHD, and neither approached the regression achieved with all four sensors (r 2 = 0.90). This indicates that a single-sensor measurement in water will significantly reduce the information collected about whole-body heat loss. Taken together, our analysis suggests that if a reduced number of sensors must be used to estimate heat loss in air and water, the axilla and flank locations are most descriptive of TBHD. Only a limited proportion of head HF variance (h 2 = 0.42) was explained with two principal components, and associations between head and TBHD were low, possibly due to its small surface area applied to calculate TBHD. The limited contribution of heat loss from the head implies the lack of a whole-body impact from potentially high obligate heat loss in sensory regions. Yet, it is also possible that the dynamics of heat loss from the head are important under specific conditions, which are not likely captured by this method.
Field applications: estimating thermoregulatory costs
Using published estimates of basal metabolic rates in air, at the water surface, and during diving, as well as respiratory exchange ratios for this species , we generated H TR (obligate heat costs of thermoregulation) in air and water for our dataset. Our initial estimates of H TR are not intended to be benchmarks for the species, but rather to provide example calculations for the method. Subsequent efforts are needed to determine the effects of physical (morphometric) and environmental variables on thermoregulation, as well as the relationship between feeding and underwater activity on heat loss. The possibility that Weddell seals do not maintain stable core body temperature during diving must also be considered, in light of conflicting observations of regional blood temperature dynamics in deep-diving seals [56, 57].
These initial results do, however, highlight several features of TBHD in Weddell seals that should be considered in subsequent investigations in this or other species. (1) Positive HF and TBHD measured in air indicate that radiative heat gain may have a significant impact on thermoregulation during haul-out. (2) H TR costs appear minimal under some conditions, therefore accurate species- and condition-specific estimates of resting metabolic rates in captive of controlled settings will be valuable for accurate parsing of TBHD. (3) HF models as they are applied here are valid only under steady-state conditions. Companion behavioral or physiological data are therefore important to provide context to HF measurements. For instance, in-water measurements should be refined not only by exercise level but by depth, to separate activities.
Thermoregulatory physiology provides an important context for understanding the adaptation of species to polar habitats, and is likely a trait that will influence the unique responses of species to habitat disruption. Further efforts are needed, specifically for ice-obligate pinnipeds, to understand basic thermoregulatory differences between air and water. Altered time in water is the predicted outcome of changes in sea ice dynamics, by affecting prey distributions and thus foraging time, as well as restricting access to haul-out substrates at times critical for ontogeny  or molt . HF biologging provides timely empirical data that can be applied to parameterize species-specific energetics models, and to identify life history or body condition stages with different thermoregulatory thresholds, that confer susceptibility to altered habitats.
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AH conceived of the concept, conducted the field study, performed the analyses, and drafted the manuscript. MH conceived of the concept, designed the integrated telemetry package, conducted the field study and participated in the analyses. JM conceived of the concept, conducted the field study, collected and processed the infrared images, and revised the paper. All authors read and approved the final manuscript.
We gratefully acknowledge the field efforts of R. Berngartt, R. Hill, H. Kaiser, M. Monnin and J. Skinner. M. Monnin collected the photogrammetry data and constructed the wireframes for estimating animal surface area and volume. J. Skinner provided data analyses and statistics consulting and assistance. We also thank B. Volpov for helpful discussion about data processing scripts and C. Shuert for editorial comments on the manuscript. Logistical support for this project in Antarctica was provided by the US National Science Foundation through the U.S. Antarctic Program. (Award #1043779).
The authors declare that they have no competing interests.