The fact that body temperature can rise or fall following exposure to stressors has been known for nearly two millennia; however, the functional value of this phenomenon remains poorly understood. We tested two competing hypotheses to explain stress-induced changes in temperature, with respect to surface tissues. Under the first hypothesis, changes in surface temperature are a consequence of vasoconstriction that occur to attenuate blood loss in the event of injury and serve no functional purpose per se; defined as the ‘haemoprotective hypothesis’. Under the second hypothesis, changes in surface temperature reduce thermoregulatory burdens experienced during activation of a stress response, and thus hold a direct functional value: the ‘thermoprotective hypothesis’. To understand whether stress-induced changes in surface temperature have functional consequences, we tested predictions of these two hypotheses by exposing black-capped chickadees (n=20) to rotating stressors across an ecologically relevant ambient temperature gradient, while non-invasively monitoring surface temperature (eye region temperature) using infrared thermography. Our results show that individuals exposed to rotating stressors reduce surface temperature and dry heat loss at low ambient temperature and increase surface temperature and dry heat loss at high ambient temperature, when compared with controls. These results support the thermoprotective hypothesis and suggest that changes in surface temperature following stress exposure have functional consequences and are consistent with an adaptation. Such findings emphasize the importance of the thermal environment in shaping physiological responses to stressors in vertebrates, and in doing so, raise questions about their suitability within the context of a changing climate.

Changes in body temperature following perception of a stressor were first reported almost 2000 years ago. In the 2nd century CE, for example, Galen described the presence of an ‘ephemeral fever’ in humans that was thought to be evoked by an abundance of humour (Yeo, 2005); a concept later expanded upon by Ibn Sina (11th century CE) who described ‘fevers’ driven by emotions, including grief, anger and dread (reviewed in Parviz et al., 2013). To date, changes in body temperature following exposure to stressors have been reported across numerous non-hominid species (i.e. lizards: Cabanac and Gosselin, 1993; turtles: Cabanac and Bernieri, 2000; birds: Greenacre and Lusby, 2004, and fish: Rey et al., 2015) and the area has attracted significant research attention. Despite such long-standing recognition in philosophical and scientific literature, and near vertebrate-wide conservation (but see Cabanac and Laberge, 1998; Jones et al., 2019), the functional significance of stress-induced changes in body temperature remain elusive. Indeed, while many studies have done well to uncover proximate mechanisms underpinning this phenomenon (i.e. mediation by peripheral vasoconstriction, pyrogenic cytokines, prostaglandins or glucocorticoids; Yokoi, 1966; reviewed in Oka et al., 2001; and Jerem et al., 2018, respectively), remarkably few have empirically interrogated a functional role of changing one's body temperature, per se, in response to stress exposure (Cabanac and Gosselin, 1993).

Thermal responses to stress exposure can be broadly categorized according to their position of occurrence within an organism (i.e. at core tissues or surface tissues). Of these, core temperature responses have, perhaps, received the greatest theoretical attention with respect to functional significance (reviewed in Oka et al., 2001; Oka, 2018). For example, some immunological studies have posited that changes in core body temperature following stress exposure represent a true ‘fever’ (Singer et al., 1986; Sanches et al., 2002) and endow individuals with a defensive advantage if they experience injury and pathogen exposure during stress exposure (discussed in Oka et al., 2001). Others, however, have contested this hypothesis by failing to substantiate immune mediation of core temperature responses to stress (Long et al., 1990b; Soszynski et al., 1998; Hiramoto et al., 2009; Vinkers et al., 2009). At the level of surface tissues, however, a functional role of stress-induced changes in temperature, per se, appears yet to be raised (though briefly discussed in Herborn et al., 2018). Indeed, dominant theory explaining stress-induced changes in surface temperature posits that this phenomenon is merely a consequence of haemetic redistribution driven by peripheral vasoconstriction (Jerem et al., 2015; Jerem et al., 2018; Nord and Folkow, 2019) and holds no direct functional role; rather, it is haemetic redistribution, but not thermal modulation, that carries functional significance by attenuating blood loss in the event of injury (as long shown following haemorrhage by McGuigan and Atkinson, 1921; Freeman, 1932; Darlington et al., 1986).

Despite an absence of functionally guided research, studies describing stress-induced changes in surface temperature do allude to a functional value of this phenomenon. Nord and Folkow (2019), for example, reported that while the skin temperature of Svalbard rock ptarmigans (Lagopus muta hyperborea) typically falls after handling, the magnitude of the skin temperature response varies according to ambient temperature (Ta); specifically, ptarmigans handled at low temperature (−20°C) display a larger change in skin temperature than those handled at warmer temperatures (0°C). An effect of Ta on stress-induced changes in skin temperature suggests that the function of this phenomenon extends beyond haemetic redistribution and may provide thermoregulatory advantages, where heat conservation at low Ta (sub-thermoneutral) is enhanced during perception of environmental challenges. Supporting a thermoregulatory function to stress-induced changes in surface temperature, Herborn et al. (2018) described an increase in skin temperature of domestic chickens (Gallus gallus) after exposure to chronic stress treatments at constant, thermoneutral temperatures, with respect to controls. As exposure to stressors is thought to elevate metabolically generated heat (i.e. as a consequence of tachycardia, tachypnea and avoidance behaviour; Cabanac and Aizawa, 2000; Cabanac and Guillemette, 2001; Greenacre and Lusby, 2004; Long et al., 1990a), elevation of skin temperature under chronically challenging environments may facilitate dissipation of excess metabolically generated heat, thereby reducing thermal load associated with activation of a stress response. Neither Nord and Folkow (2019), nor Herborn et al. (2018), however, tested patterns of heat conservation or dissipation following stress exposure, rendering such thermoregulatory consequences of surface temperature responses speculative.

In this study, we propose that stress-induced changes in surface temperature, per se, serve a functional role that may be understood when contextualized according to energetic and thermal load. Specifically, we argue that changes in surface temperature following stress exposure reduce energetic costs that are incurred during activation of a stress response, by promoting heat conservation at low temperatures (conservatively, below thermoneutrality), and heat dissipation at high temperature (conservatively, above thermoneutrality). This hypothesis (henceforth defined as the ‘thermoprotective hypothesis’) contrasts the dominant hypothesis stating that surface temperature responses are a functionally neutral corollary of haemetic redistribution (discussed above, and in Jerem et al., 2015; henceforth defined as the ‘haemoprotective hypothesis’). Importantly, the thermoprotective hypothesis does not preclude a selective advantage to blood-loss avoidance on stress-induced peripheral vascular motion; rather, it dictates that such stress-induced vascular motion is further shaped by thermoregulatory requirements experienced during stress exposure.

To test whether stress-induced changes in surface temperature themselves serve a functional value, we generated predications for both the thermoprotective and the haemoprotective hypotheses, with reference to a temperate endotherm, the black-capped chickadee (Poecile atricapilus Linnaeus 1766). According to the thermoprotective hypothesis, we predicted that surface temperature and dry heat-loss (here, heat lost by radiation and convection, but not evaporative cooling or conduction) of chickadees would fall under stress exposure when Ta is low (below thermoneutrality), and rise when Ta is high (above thermoneutrality), thereby reducing energetic and thermal load during activation of a stress response. Alternatively, under the haemoprotective hypothesis, we predicted that surface temperature and dry heat-loss of chickadees would also fall under stress exposure, however, only until Ta and surface temperature are approximately equal (i.e. when acquisition of heat at surface tissues matches loss of heat from local ischemia), whereafter, surface temperature would remain equivalent to Ta. Because female parids are thought to differ in both metabolic costs of thermoregulation (Nilsson et al., 2011) and heat dissipation capacity compared with male conspecifics (i.e. as a consequence of gynolateral brood-patch development and sexual size dimorphism; Foote et al., 2010; Alonso et al., 2016; Cooper and Voss, 2013; discussed in Nilsson and Nord, 2018), we further predicted that thermal responses to stress exposure would differ between females and males under the thermoprotective hypothesis, but not the haemoprotective hypothesis. Specifically, if stress-induced changes in surface temperature follow the thermoprotective hypothesis, and therefore occur to offset energetic costs incurred during activation of the stress response, we predicted that female chickadees would exhibit a larger fall in surface temperature and dry heat loss following stress exposure than male chickadees when Ta is low (i.e. a lower intercept of the relationship between Ta and surface temperature following stress exposure). Additionally, when Ta is high, we predicted that under the thermoprotective hypothesis, male chickadees would display a larger increase in surface temperature and dry heat loss following stress exposure than females (that is, a steeper slope of the relationship between Ta and surface temperature following stress exposure), owing to their lower heat dissipation capacity.

To our knowledge, this is the first study to empirically test a direct functional role of stress-induced changes in surface temperature. It is also the first study to investigate stress-induced changes in surface temperature across an ecologically relevant Ta range that extends both below and above the thermoneutral zone of the study organism. In light of a changing global climate, elucidating a thermoregulatory function to the vertebrate stress response may provide insight into the adaptive capacity of organisms that face both physiological and thermal stress from anthropogenic, environmental change.

All methods used for animal capture, handling and experimentation were approved by the Trent University Animal Care Committee (AUP no. 24614) and Environment and Climate Change Canada (permit no. 10756E).

Bird capture, sampling and transport

During the months of March and April in 2018, we captured 20 free-living black-capped chickadees within a 100 km2 area of south-central Ontario (Canada) for captive experimentation. Because conspecific songbirds from urban and rural populations have been shown to exhibit differences in the magnitude of the stress response (e.g. Abolins-Abols et al., 2016), 10 birds (nfemales=5; nmales=5) were captured from across known urban populations (Cambridge, Ontario, 43.3789°N, 80.3525°W; Guelph, Ontario, 43.3300°N, 80.1500°W; Brantford, Ontario, 43.1345°N, 80.3439°W) and 10 birds (nfemales=5; nmales=5) were captured across three known rural populations (Erin, Ontario, 43.7617°N, 80.1529°W; Corwhin, Ontario, 43.5090°N, 80.0899°W; Ruthven Park National Historic Site, Ontario, 42.9797°N, 79.8745°W). All chickadees were trapped using remotely operated potter-traps (90×70×70 cm; l×w×h), baited with sunflower seeds and suet on the day of capture. To further attract individuals to trapping locations, black-capped chickadee breeding and mobbing songs were broadcasted alternately from a remote call-box (FoxPro™ Patriot; Lewisville, PA, USA) at approximately 80 decibels, which was stopped when at least one individual had approached within a 4 m radius of a baited trap.

Once captured, individuals were immediately blood sampled (50 µl) by brachial venipuncture and capillary tube collection (<5 min post-capture), then assigned a unique combination of one government issued, stainless steel leg band and two coloured darvic leg bands for identification. Individuals were then weighed (nearest 0.1 g using a digital platform scale), measured (tarsus and flattened wing-chord to the nearest 0.1 mm, using analogue callipers) and secured in covered carrier cages (30×30×15 cm; l×w×h) for transport to our long-term holding facilities at the Ruthven Park National Historic Site, Cayuga, Ontario, Canada (maximum of 90 km; 2 h travel by vehicle). Finally, erythrocytes were isolated from whole blood samples on site by centrifugation (12,000 rpm), then lysed in 500 µl Queen's lysis buffer for long-term preservation of genetic material (Seutin et al., 1991). Plasma was isolated and stored for another study (not described here). All lysed blood samples were held on ice until transfer to permanent holding at 4°C.

Experimental enclosures and maintenance

Once at our long-term holding facility, all chickadees were haphazardly assigned to one of four identical and visually isolated outdoor flight enclosures (n=5 per flight enclosure; 183×122×244 cm; l×w×h). Each flight enclosure was supplied with an insulated roosting box (60×20×20 cm; l×w×h) mounted at 1.2 m in height, one roosting tree (white cedar, Thuja occidentalis; 1.0 m), and two perching branches (80 cm in length), mounted at approximately 1.5 and 1.8 m in height. Chickadees were provided water, and a mixture of meal worms (Tenebrio molitor), house crickets (Acheta domesticus), shelled peanuts, apple pieces, boiled egg, sunflower seeds, safflower seeds and Mazuri (St Louis, MO, USA) Small Bird Maintenance diet ad libitum. Both food and water were distributed twice to three times daily, with food being exclusively dispensed on a 400 cm2 platform, raised to 1.2 m in height. To minimize disturbance during feeding, all food and water were distributed through opaque, hinged doors (15 cm×15 cm), such that chickadees were blind to experimenter presence. All individuals were acclimated for a minimum of two weeks prior to experimentation.

Experimental stress induction

From April until late June of 2018, we tested a functional role of stress-induced changes in surface temperature by using a repeated sampling design to maximize statistical power. Here, each individual was exposed to one control (untouched; n=30 days) and one stress exposure treatment (n=30 days), separated by a rest period of 2 days (total experimental duration=62 days). All chickadees were maintained in outdoor flight enclosures for the duration of the study (see above) and were therefore exposed to seasonal changes in temperature and day length that could alter patterns of stress responsiveness (Wingfield et al., 1992; Astheimer et al., 1995). To account for these seasonal changes, individuals within two flight enclosures (n=10; Group A) were exposed to a control treatment followed by a stress exposure treatment, while the remaining individuals (n=10 within two flight pens; Group B) were exposed to a reversed treatment order, such that stress exposure treatments in Group B co-occurred with control treatments in Group A, and control treatments in Group B co-occurred with stress exposure treatments in Group A.

Stress exposure treatments followed a protocol of rotational stressors similar to Rich and Romero (2005) and Cyr and Romero (2007); however, no auditory stressors were used to ensure that the application of a stressor to individuals within one flight enclosure did not elicit a stress response in individuals held within remaining and nearby flight enclosures. Because our flight enclosures were not auditorily separated, however, we could not control for the exposure of control individuals to alarm calls elicited by stress-exposed individuals; consequently, our analyses comparing surface temperature profiles between control and stress-exposed individual are expected to be conservative.

Experimental individuals were administered five, randomly selected passive stressors each day, with each stressor persisting for 20 min, and being separated from subsequent stressors by 1 h. Daily randomization of stressors was used to circumvent habituation to each individual stressor throughout the course of experimentation. Stressors included; capture and restraint, presence of a mock predator (a taxidermied adult Cooper's hawk Accipiter cooperii), presence of a novel object placed in the centre of holding enclosures (garden gnome), presence of a human within holding enclosures, absence of light (by wrapping enclosures with opaque fabric) and presence of a mounted conspecific placed in the centre of a feeding platform, mimicking an unfamiliar and dominant individual. Hormonal responses to stress exposure treatments were not measured since blood collection is likely to interfere with peripheral thermal profiles; however, behavioural responses to each stressor were visually and statistically confirmed (alarm calling, panting and elicitation of avoidance behaviour during stress exposure: J.K.R., personal obs.; reduction in feeding: see Appendix and Fig. A1). Individuals within control treatments were maintained according to acclimation conditions and were not subject to handling or disturbance by experimenters.

Fig. A1.

Effect of stress exposure on feeding rate across time. Feeding score (PC1) of black-capped chickadees according to time of day (hour), per experimental treatment. Feeding score was calculated from a principal component analysis with feeding rate (feeding visits h−1) and time spent feeding (s h−1) as loading variables, then normalized between 0 and 100 for visualization. Solid and dashed lines represent estimated marginal means of feeding score for control and stress-induced treatments respectfully, according to a generalized additive mixed model (GAMM: Treatment×Time; P=0.017). Ribbons represent 95% confidence intervals around marginal mean estimates, with the blue ribbon representing the control treatment and magenta representing the stress-induced treatment. Observations (n=1014) were derived from 20 black-capped chickadees across 50 days and four flight enclosures.

Fig. A1.

Effect of stress exposure on feeding rate across time. Feeding score (PC1) of black-capped chickadees according to time of day (hour), per experimental treatment. Feeding score was calculated from a principal component analysis with feeding rate (feeding visits h−1) and time spent feeding (s h−1) as loading variables, then normalized between 0 and 100 for visualization. Solid and dashed lines represent estimated marginal means of feeding score for control and stress-induced treatments respectfully, according to a generalized additive mixed model (GAMM: Treatment×Time; P=0.017). Ribbons represent 95% confidence intervals around marginal mean estimates, with the blue ribbon representing the control treatment and magenta representing the stress-induced treatment. Observations (n=1014) were derived from 20 black-capped chickadees across 50 days and four flight enclosures.

At the onset and completion of each treatment (control and stress exposure), all individuals were re-weighed to monitor changes in body condition across treatments (see Appendix), and upon completion of the experiment, individuals were released to their site of capture.

Environmental data collection

We were interested in testing the effects of repeated stress induction on surface temperature profiles, within the context of naturally cycling temperatures. We therefore sampled Ta (°C) at the location of experimentation using a ThermoChron iButton™ (Maxim Integrated, DS1922L-F5, San Jose, CA, USA) placed in the shade, for the duration of experimentation. To capture rapid and subtle changes in Ta across time, Ta readings were sampled at a frequency of 20 samples h−1, and at a resolution of 0.5°C. Because relative humidity can influence the transmission of infrared radiation, and therefore estimates of object temperature by thermography (reviewed in Tattersall, 2016), we collected local relative humidity in addition to Ta (one sample h−1) from Environment Canada climate repositories (https://climate.weather.gc.ca/; Hamilton A, 22 km from the experimental holding location).

Thermographic filming

Surface temperature responses to stress exposure and control treatments were measured by capturing maximum eye region temperature of chickadees during feeding, using time-lapse infrared thermography. Temperature of the eye region was assessed because it contains exposed integument that may be readily imaged in birds while stationary (e.g. during feeding) and is capable of heat exchange unfettered by insulatory keratinous tissues (i.e. feathers or leg scale; discussed in Jerem et al., 2018). Furthermore, in domestic chickens, exposure to hyperthemic conditions has been shown to increase blood flow in capillary beds of the head (Wolfenson et al., 1981), suggesting that cephalic vasculature, including the vessels located near the eye region (i.e. the opthalmotemporal, ethmoid and facial veins), may serve as a location for heat exchange (discussed in Midtgård, 1983). Here, we chose to use the maximum temperature of the eye region as a metric of eye region temperature, rather than mean temperature, because it is thought to be less susceptible to measurement error (Jerem et al., 2015, 2018) and is less likely to fluctuate according to the angle at which an individual was imaged.

Thermographic images were captured using a remotely operated thermographic camera (VueProR™, FLIR, Wilsonville, OR, USA; 13 mm lens, 336×256 resolution; image frequency=1 Hz) that was rotated among flight enclosures each day, according to cardinal direction. Specifically, beginning at 08:00 h each day, time-lapse thermographic imaging was conducted for approximately 1 h at one flight enclosure, after which the thermographic camera was transferred cardinally clockwise to a second flight enclosure, and imaging was repeated for 1 h. This rotational process was repeated until 16:00 h each day, to ensure that each flight enclosure was subjected to at least 1 h of thermographic filming per day. To control for possible effects of circadian rhythms on surface temperature profiles, the first flight enclosure to be filmed each day was also rotated cardinally clockwise direction. Because individuals within a flight enclosure could not be identified by thermography (according to band colour combinations), a remotely operated digital camera was rotated alongside the thermographic camera, allowing for post hoc individual identification.

To ensure that chickadees were blind to the presence of both the thermographic and digital camera during experimentation, flight enclosures were equipped with water-tight camera boxes that were mounted to an exterior wall adjacent to the feeding platforms, and were perforated with two 30 mm diameter holes through which thermographic imaging and digital filming were conducted (distance of 0.5 m from feeding platforms). Camera boxes were solely accessed from the exterior of flight enclosures, where an experimenter could not be seen by chickadees within the flight enclosure. When thermographic imaging was not being conducted, both 30 mm holes were covered.

Data extraction from thermographic images

Throughout experimentation, 1,035,512 thermographic images were captured across 60 days. Raw radiance values (kW m−2) per pixel were extracted from all thermographic images in R (v.3.6.1; https://www.r-project.org/), then converted to temperature values (°C) using Planck's law, and following equations described by Minkina and Dudzik (2009) and Tattersall (2016). Here, temperature values were calibrated according to Ta and relative humidity (determined as described above), and calibration and atmospheric constants for our thermographic camera were identified using Exiftool (https://exiftool.org/). Emissivity of the eye region was assumed to be 0.95, according to estimates for avian integument by Best and Fowler (1981).

Following conversion of radiance to temperature in thermographic images, we used FIJI (https://imagej.net/Fiji) to determine maximum eye region temperature (°C) for chickadees that were present in thermographic images by drawing a region of interest (ROI) around the eye region (∼1.1 cm in diameter) and extracting the maximum temperature from within the ROI (∼230 pixels; Fig. A2). Because motion of an object can lead to underestimation of its surface temperature in thermographic imaging (discussed in Jerem et al., 2018), only images where the feeding individual was stationary (i.e. not in flight, landing from flight or departing) were included in our analyses. Furthermore, maximum eye region temperature was only selected from images where the identity of the individual imaged could be determined from parallel digital video (n=6431; nstress=3397, ncontrol=3034).

Fig. A2.

Representation of infrared thermographic imaging and maximum eye region temperature extraction. (A) Infrared thermographic image of a black-capped chickadee that was captured during a feeding bout. Pixel coloration is scaled according to pixel temperature (°C) as measured by infrared thermography. (B) A three-dimensional representation of A with temperature (°C) plotted on the z-axis, and a black arrow indicating the maximum eye region temperature to be extracted for use in analysis.

Fig. A2.

Representation of infrared thermographic imaging and maximum eye region temperature extraction. (A) Infrared thermographic image of a black-capped chickadee that was captured during a feeding bout. Pixel coloration is scaled according to pixel temperature (°C) as measured by infrared thermography. (B) A three-dimensional representation of A with temperature (°C) plotted on the z-axis, and a black arrow indicating the maximum eye region temperature to be extracted for use in analysis.

Heat-transfer calculations

The thermoprotective hypothesis predicts that stress-induced changes in surface temperature alleviate thermal burdens incurred during a stress response, with stressed individuals conserving more heat at low Ta and dissipating more heat at high Ta than control individuals. To test this prediction, we sought to quantify and compare total heat transfer (qtotal) from the eye region of captive chickadee, in stress-induced and control treatments. Here, heat transfer was calculated using maximum eye temperature measurements that were extracted from thermographic images, and by following methodology described by Ward et al. (1999), McCafferty et al. (2011) and Nord and Nilsson (2019), with slight modifications (see Appendix). Because individuals were sheltered from wind in flight enclosures, and were unlikely to transfer heat by direct contact between the eye region and a medium other than air, qtotal was assumed to be the sum of radiative heat transfer (qrad.) and free convective heat transfer (qconv.). Here, the expected values for the kinematic viscosity of air (m2 s−1; at an assumed atmospheric pressure of 101.325 kPa), thermal conductivity of air (W m−1 °C−1) and thermal expansion coefficient of air (1 K−1) used in the calculation of qrad. and qconv. were calculated according to Ta at the time of image capture (see Appendix). Eye region surfaces were treated as planar structures, similar to the ventral surfaces of blue tits (Parus caeruleus) described in Nord and Nilsson (2019), and the surface area of the imaged eye region was estimated to be an oval of 1.0 cm vertical diameter and 1.1 cm horizontal diameter. Final qtotal values were multiplied by two to represent total heat transfer across both eye regions of an individual.

DNA extraction and genetic sexing

Sex of black-capped chickadees was determined genetically according to Griffiths et al. (1996) and Fridolfsson and Ellegren (1999). Briefly, whole DNA was isolated from lysed erythrocyte samples by phenol:chloroform:isoamyl alcohol (25:24:1; Thermo Fisher Scientific, Waltham, MA, USA) extraction and precipitation in 100% 2-propanol, then stored at −20°C. Following DNA isolation, sex of individuals was determined by PCR amplification of chromohelicase DNA binding protein intron 16 (Griffiths et al., 1996; Fridolfsson and Ellegren, 1999), and size separation of amplicons on 3% agarose gels.

Statistical analyses

All statistical analyses were conducted using R and α levels were set to 0.05. All generalized additive mixed-effects models (GAMMs) were fitted with restricted maximum likelihood (REML), and model assumptions (i.e. normality, homoskedasticity and temporal independence of residuals) were assessed visually. Marginal means used in plots were calculated using the R package ‘emmeans’ (https://cran.r-project.org/web/packages/emmeans/index.html).

Effect of stress on surface temperature across ambient temperature

To test whether Ta influenced how eye region temperature responded to stress exposure treatments, we used a generalized additive mixed effects model (GAMM) in the package ‘mgcv’ (https://cran.r-project.org/web/packages/mgcv/index.html). Here, we chose to employ an additive model rather than a linear model to ensure that non-linear changes in surface temperature across Ta, which are expected in species capable of thermoregulation, were captured. In this model, maximum eye temperature (°C) was used as the response variable, and treatment (binomial; control, stress-induced) was included as a parametric predictor to test for differences in the intercept of maximum eye temperature between groups. The effect of Ta on eye temperature was tested by including a cubic regression spline for Ta; however, the number of knots used in spline construction was limited to four to both capture a curvilinear relationship and avoid model over-fit. Some parid species have been shown to exhibit diel fluctuation in body temperature that cannot be explained by Ta alone (e.g. willow tits, Poecile montanus: Reinertsen and Haftorn, 1984; mountain chickadee, Poecile gambeli: Cooper and Gessaman, 2005). To control for variance explained by diel rhythms, time of day (seconds; midnight=0 s) was also included as a cubic regression spline, with the number of knots again restricted to four. To test the influence of experimental treatment on thermal responses to Ta and time of day, we included interaction terms between treatment and each regression spline (Ta and time of day). Variance explained by individual identification, flight enclosure and date were estimated by inclusion of random intercepts, and differences in exposure to solar radiation per flight enclosure were estimated by constructing random slopes per enclosure, by time of day. Finally, capture location (each of six locations) was included as a random intercept to account for possible physiological effects at the population level, and the possibility of relatedness among individuals from the same point of capture. Autocorrelation between adjacent time-points was corrected for by using a first order autoregressive correlation structure in ‘itsadug’ (https://cran.r-project.org/web/packages/itsadug/index.html), and an estimated φ of 0.67. Our final predictive model was therefore as follows:
(1)
where i represents observation number, j represents individual identity, k represents the flight enclosure, l represents the date, m represents the capture locale, and ɛτ represents a normally distributed error term.
Differences in thermal responses to stress between sexes are predicted by the thermoprotective hypothesis, but not haemoprotective hypothesis. To test whether sex influenced how surface temperature responded to stress exposure, we used a similar analytical approach to Petit and Vézina (2014) and first tested whether there was evidence to suggest that surface temperature responses to treatment across Ta differed among individuals. We did so by repeating the previous statistical model (model 1) and including both a random linear slope and a random intercept for the interaction term between Ta and Treatment (defined as a ‘reaction term’), per individual chickadee as follows:
(2)
where all terms remain as defined previously. Log-likelihood values were then calculated for our base model (model 1) and individually adjusted model (model 2), then compared using a chi-squared difference test. Our individual adjusted model (model 2) yielded a significantly higher log-likelihood, suggesting that individuals significantly differed in their surface temperature responses to stress across Ta (log ℓinitial=−1.009×104, log ℓadjusted=−9.985×103; χ2=208.443, d.f.=28, P<0.0001). We then tested whether sex could explain this individual variability by extracting the intercept and slope of the Ta by treatment interaction term (here, μ0,j under stress-exposed treatments, or μ0,j,stress and μ2, respectively) per individual and regressing them against sex as a factorial predictor in linear models (LM; base R). Therefore, an individual's surface temperature response to treatment at low Ta (0°C) alone, and treatment across Ta was modelled as:
(3)
and:
(4)
where μ0,j,stress (value of μ0,j under stress exposure) and μ2 are derived from model 2, i represents observation number, and ɛ represents a normally distributed error term. Individual mass (g; average across stress-exposure treatments, to best represent size during stress exposure) was included in both models to account for the effects of body size on heat dissipation capacity alone (Aschoff, 1981; Porter and Kearney, 2009). Although black-capped chickadees are reportedly sexually size dimorphic (Foote et al., 2010), we did not detect co-linearity between mass and sex in our models (variance inflation factors <2.0, as calculated using the R package ‘car’; https://cran.r-project.org/web/packages/car/index.html).

Influence of stress exposure on heat transfer across ambient temperature

We were interested in testing whether changes in surface temperature following stress exposure serve a thermoregulatory function. We therefore asked whether individuals exposed to repeated stressors conserved more heat below thermoneutrality and dissipated more heat above thermoneutrality, than those exposed to control treatments. Because measurements of dry heat transfer are likely to be strongly correlated with Ta in endotherms (e.g. Simmons et al., 1997), we first controlled for the global effects of Ta on qtotal by calculating how different an individual's qtotal was from that expected at a given Ta. This was accomplished by quantifying residual distance between observed qtotal values (here, mean qtotal per hour and per day, for each individual; nobs=1006 across ndays=60 and nbirds=20), and those predicted by Ta (mean per respective hour) using a GAMM with qtotal as the response variable and mean Ta per hour as a cubic regression spline (restricted to four knots) in mgcv (Wood, 2011) [mean Ta: F=1.456×104, estimated degrees of freedom (edf)=3.000, P<0.0001].

According to our thermoprotective hypothesis, qtotal (heat lost to the environment) from an individual under stress should decrease when Ta is below thermoneutrality and increase above thermoneutrality. We therefore divided Ta measurements into temperature zones, according to their position with respect to thermoneutrality; specifically, below thermoneutrality (‘low’), thermoneutral (‘mid’), or above thermoneutrality (‘high’). Because our experiment spanned late winter and early summer (early April to late June; Ta range: 2.5–38.5°C), limits of thermoneutrality in black-capped chickadees were generously set to 14°C and 30°C, according to Grossman and West (1977) and Rising and Hudson (1974). The effect of stress exposure on qtotal across Ta zones was then tested using a linear mixed effect model (LMM) in the R package ‘lme4’ (https://cran.r-project.org/web/packages/lme4/index.html), with residual qtotal as the response variable. Treatment, temperature zone (factorial: low, mid or high; total observations: nlow=110, nmid=710, nhigh=185), and an interaction between treatment and temperature zone were included in our model as fixed effects. To test whether sex influenced the direction and magnitude of qtotal across Ta and stress treatments (as predicted by the thermoprotective hypothesis), sex and a three-way interaction between sex, temperature zone and treatment were initially included as fixed predictors in our model. Neither sex nor the three-way interaction between sex, temperature zone and treatment were significantly correlated with qtotal (sex: P=0.068; interaction between treatment, sex and temperature zone: P=0.146), and were subsequently removed to test the effects of temperature zone and treatment on qtotal alone, with increased statistical power (Aiken and West, 1991). Finally, individual identity, flight enclosure and date were included as random intercepts to account for residual variance explained by each.

Effect of stress exposure on surface temperature and heat transfer are temperature dependent

Eye region temperature significantly increased with Ta (P<0.0001; Table 1) and this relationship was significantly influenced by treatment (Ta×Treatment: P=0.0195; Table 1; Fig. 1), as predicted by both the thermoprotective and haemoprotective hypotheses. The directionality of surface temperature responses to stress, however, supported predictions of the thermoprotective hypothesis alone, with eye region temperature decreasing at low Ta and increasing at high Ta with respect to control treatments (Fig. 1). Interestingly, treatment alone (regardless of Ta) did not have a significant effect on eye region temperature (P=0.995; Table 1).

Table 1.

Results of a GAMM testing the effect of stress exposure on eye region temperature in black-capped chickadees

Results of a GAMM testing the effect of stress exposure on eye region temperature in black-capped chickadees
Results of a GAMM testing the effect of stress exposure on eye region temperature in black-capped chickadees
Fig. 1.

Eye temperature of black-capped chickadees exposed to repeated stressor and control treatments (n=20 individuals, n=30 days per treatment), according to Ta (°C). Eye temperature values are derived from thermographic images (n=6431) captured during feeding. Trend lines represent the estimated marginal means of eye temperature according to Ta, as determined from a generalized additive mixed effects model (GAMM: Ta×Treatment; P=0.0195). Blue shadows represent 95% confidence intervals around means for control treatments, and magenta shadows represent 95% confidence intervals around means for stressed treatments. Vertical dashed lines represent limits to the thermoneutral zone (TNZ).

Fig. 1.

Eye temperature of black-capped chickadees exposed to repeated stressor and control treatments (n=20 individuals, n=30 days per treatment), according to Ta (°C). Eye temperature values are derived from thermographic images (n=6431) captured during feeding. Trend lines represent the estimated marginal means of eye temperature according to Ta, as determined from a generalized additive mixed effects model (GAMM: Ta×Treatment; P=0.0195). Blue shadows represent 95% confidence intervals around means for control treatments, and magenta shadows represent 95% confidence intervals around means for stressed treatments. Vertical dashed lines represent limits to the thermoneutral zone (TNZ).

Although we did not detect circadian changes in eye region temperature within our observed time period (Time of day; P=0.840; Table 1), treatment significantly influenced the relationship between time of day and eye region temperature in our birds (P=0.026; Table 1). Both date of image capture and flight enclosure explained considerable variance in eye region temperature (s.e.m.date=0.425; s.e.m.enclosure=1.819; Table 1), probably owing to differing degrees of exposure to solar radiation per day in each enclosure.

Mean±s.d. qtotal from the eye region was 25.275±11.903 mW and residual qtotal from the eye region differed significantly between temperature categories (Table 2; Fig. 2), as predicted by the thermoprotective hypothesis. Specifically, individuals experiencing stress exposure conserved significantly more heat from the eye region than controls, when held below thermoneutral temperatures (P=0.010; Table 2, Fig. 2) and lost significantly more heat from the eye region than control birds, when held above thermoneutral temperatures (P=0.003; Table 2; Fig. 2). At thermoneutral environments, however, stress-exposed and control individuals did not differ with respect to heat exchange at the eye region (P=0.064; Table 2; Fig. 2).

Table 2.

Results of an LMM testing the influence of temperature zones and stress exposure on total heat loss from the eye regions of chickadees

Results of an LMM testing the influence of temperature zones and stress exposure on total heat loss from the eye regions of chickadees
Results of an LMM testing the influence of temperature zones and stress exposure on total heat loss from the eye regions of chickadees
Fig. 2.

Residual heat exchange (qtotal) from the eye region of black-capped chickadees (n=20) in response to repeated stressors, and across temperature zones. Residual qtotal was calculated from a generalized additive model regressing qtotal (mean per individual h−1) against ambient temperature (mean Ta h−1; °C), then plotted against temperature zone. Low, mid, and high temperature zones represent Ta values below, at and above thermoneutrality, respectively (nlow=111, nmid=710, nhigh=185; ntotal=1006). Dots represent raw group means and whiskers represent 95% confidence intervals around means. Asterisks represent significant differences at α=0.05, according to a linear mixed effects model (Treatment×Low Ta zone: P=0.010; Treatment×High Ta zone: P=0.003).

Fig. 2.

Residual heat exchange (qtotal) from the eye region of black-capped chickadees (n=20) in response to repeated stressors, and across temperature zones. Residual qtotal was calculated from a generalized additive model regressing qtotal (mean per individual h−1) against ambient temperature (mean Ta h−1; °C), then plotted against temperature zone. Low, mid, and high temperature zones represent Ta values below, at and above thermoneutrality, respectively (nlow=111, nmid=710, nhigh=185; ntotal=1006). Dots represent raw group means and whiskers represent 95% confidence intervals around means. Asterisks represent significant differences at α=0.05, according to a linear mixed effects model (Treatment×Low Ta zone: P=0.010; Treatment×High Ta zone: P=0.003).

Stress-induced changes in surface temperature, but not heat transfer, differ between sexes

Females and males significantly differed in their responses to stress exposure across Ta, as predicted by the thermoprotective hypothesis but not the haemoprotective hypothesis. Specifically, eye region temperature in males displayed a more robust response to stress exposure than that of females across Ta (nfemales=10, nmales=10; βmales=0.038, s.e.m.=0.017, t=2.269, d.f.=17, P=0.037; β values are means±s.e.m.), with the slope between Ta and eye region temperature being steeper following stress exposure in males than females (Fig. 3). Contrary to predictions of the thermoprotective hypothesis, however, females and males did not significantly differ in the magnitude of their response to stress exposure at low Ta (0°C; as measured by the intercept of their eye region temperature by Ta curve, under stress exposure; βmales=0.219±0.257, t=0.850, d.f.=17, P=0.407; Fig. 3). Mass was not significantly correlated with the slope or intercept of the relationship between eye region temperature and Ta under stress exposure (slope: βmass=−0.009±0.010, t=−0.916, d.f.=17, P=0.373; intercept: βmass=−0.201±0.151, t=−1.327, d.f.=17, P=0.202). Interestingly, qtotal from the eye region did not reflect patterns that were shown for eye region temperature. A global three-way interaction between sex, treatment and temperature zone was not significant (F=1.928, d.f.=799, P=0.146), demonstrating that we could not detect sex-specific changes in heat transfer across temperature zones and treatment, probably owing to our small sample size (nfemales=10, nmales=10).

Fig. 3.

Sex-specific effects of repeated stress exposure on eye region temperature (°C) of black-capped chickadees (nfemales=10, nmales=10) according to Ta (°C). Sex-specific responses of eye region temperature were calculated by extracting random intercepts and slopes of the Treatment×Ta interaction per individual, then regressing these random intercepts and slopes against sex and individual mass in linear mixed effects models. Dots represent the mean effect of sex on the intercepts (P=0.407) and slopes of the Treatment×Ta interactions (P=0.037) while controlling for the effect of mass (g). Here, the direction and magnitude of the random intercept terms represents the relative change in eye region temperature following stress exposure at low Ta (0°C), per sex, with respect to the average. Similarly, the direction and magnitude of the random slope terms represent that relative effect of stress exposure on eye region temperature across Ta, per sex, with respect to the average. Whiskers represent 95% confidence intervals around means and asterisks represent significant differences at α=0.05.

Fig. 3.

Sex-specific effects of repeated stress exposure on eye region temperature (°C) of black-capped chickadees (nfemales=10, nmales=10) according to Ta (°C). Sex-specific responses of eye region temperature were calculated by extracting random intercepts and slopes of the Treatment×Ta interaction per individual, then regressing these random intercepts and slopes against sex and individual mass in linear mixed effects models. Dots represent the mean effect of sex on the intercepts (P=0.407) and slopes of the Treatment×Ta interactions (P=0.037) while controlling for the effect of mass (g). Here, the direction and magnitude of the random intercept terms represents the relative change in eye region temperature following stress exposure at low Ta (0°C), per sex, with respect to the average. Similarly, the direction and magnitude of the random slope terms represent that relative effect of stress exposure on eye region temperature across Ta, per sex, with respect to the average. Whiskers represent 95% confidence intervals around means and asterisks represent significant differences at α=0.05.

Changes in surface temperature following stress exposure provide thermoregulatory advantages

Our results provide evidence for the thermoprotective hypothesis over the haemoprotective hypothesis and lend support to direct functional significance of stress-induced changes in surface temperature. Indeed, as predicted by the thermoprotective hypothesis, we report a significant interaction between Ta and treatment on eye region temperature in our experimental population, where eye region temperature in stressed individuals was lower at low Ta, and higher at high Ta than that of control individuals (Fig. 1). Furthermore, individuals exposed to repeated stressors conserved more heat at temperatures below thermoneutrality and dissipated more heat at temperatures above thermoneutrality with respect to controls (Fig. 2). These results demonstrate that changes in surface temperature experienced during stress exposure provide a thermoregulatory benefit across ecologically relevant temperature gradients, and likely contribute to lessening thermal burdens experienced during activation of a stress response. In our study, the effect of treatment on eye region temperature across Ta could not be explained by feeding behaviour or individual condition alone (Figs A3A5), supporting a direct physiological modification of surface temperature in response to stress exposure.

Fig. A3.

Residual eye region temperature of black-capped chickadees according to feeding rate, per individual. Eye region temperature residuals (absolute values, raw) were extracted from a generalized additive model (GAM) with mean eye temperature per individual, per hour and day, regressed against respective mean ambient temperatures (Ta, °C), per hour and day. Feeding score represents the combined effects of feeding visits (visits h−1) and time spent feeding (s h−1), as derived from a principle component analysis and normalized between 0 and 100. Observations (n=581 from n=20 individuals) were derived from 50 days, across four flight enclosures. No significant relationship between residuals eye temperature and feeding rate was detected in a generalized linear mixed effects model (GLMM; P=0.312).

Fig. A3.

Residual eye region temperature of black-capped chickadees according to feeding rate, per individual. Eye region temperature residuals (absolute values, raw) were extracted from a generalized additive model (GAM) with mean eye temperature per individual, per hour and day, regressed against respective mean ambient temperatures (Ta, °C), per hour and day. Feeding score represents the combined effects of feeding visits (visits h−1) and time spent feeding (s h−1), as derived from a principle component analysis and normalized between 0 and 100. Observations (n=581 from n=20 individuals) were derived from 50 days, across four flight enclosures. No significant relationship between residuals eye temperature and feeding rate was detected in a generalized linear mixed effects model (GLMM; P=0.312).

Fig. A5.

Change in body condition of black-capped chickadees following stress-induced and control treatments. Body condition was calculated by extracting residuals from a linear model with mass (g) as the dependent variable and wing chord (mm) as the independent variable, then scaling residuals between 0 and 1. Dots represent a condition measurement for one individual and lines connect measurements derived from the same individual (n=16 individuals). Purple points represent male measurements and green points represent female measurement. No significant difference in conditional change between treatments was detected in a linear mixed effects model (LMM; P=0.546).

Fig. A5.

Change in body condition of black-capped chickadees following stress-induced and control treatments. Body condition was calculated by extracting residuals from a linear model with mass (g) as the dependent variable and wing chord (mm) as the independent variable, then scaling residuals between 0 and 1. Dots represent a condition measurement for one individual and lines connect measurements derived from the same individual (n=16 individuals). Purple points represent male measurements and green points represent female measurement. No significant difference in conditional change between treatments was detected in a linear mixed effects model (LMM; P=0.546).

Although our reported patterns of qtotal under stress exposure are suggestive of a thermoregulatory adaptation, we recognize that our observed differences in qtotal between stress-exposed and control individuals are small (mean Δqtotal=2.732 mW or 0.937 J g−1 h−1; Fig. 2). Indeed, for a stress-exposed individual of average mass within our study population (10.5 g), energetic savings by such changes in qtotal alone total ∼1% of daily energetic expenditure, as estimated according to Karasov et al. (1992). Given we assessed qtotal across a small area of surface tissue alone (the eye region), however, our estimates of energy savings likely underestimate true energy savings associated with whole-body changes in surface temperature following stress exposure. In European starlings (Sturnus vulgaris), for example, most dry heat transfer occurs at the ventral brachial area and legs (Ward et al., 1999), while in the toco toucan (Ramphastos toco), dry heat transfer is predominantly sanctioned to the bill (Tattersall et al., 2009). Combined heat transfer experienced across the legs, bill and eye region in our birds almost certainly exceeded that experienced across the eye region alone, if thermal responses to stress exposure at the legs and bill mimic those observed at the eye region (but see Bech and Midtgård, 1981). Indeed, Herborn et al. (2015) reported a concomitant change in wattle, comb and eye temperature following stress exposure in the domestic chicken, demonstrating that surface tissues are unlikely to respond in isolation to stress exposure. In this study, however, we were unable to estimate qtotal across the legs and bill of individuals because each structure could not be readily observed within our thermographic images (see Fig. A2). Furthermore, without calorimetric measurements of our chickadees, the precise energetic merits of our observed changes in qtotal following stress exposure remain in question.

Beyond providing direct thermoregulatory advantages, stress-induced changes in surface temperature may also yield indirect advantages with respect to water retention. In small birds, active heat dissipation is predominantly achieved by evaporative cooling at cutaneous tissues in the respiratory tract (via panting; Tieleman and Williams, 2002). Cooling by this mechanism, however, can provide significant water loss that may be challenging to sustain. Black-capped chickadees, for example, have been shown to lose up to 400 mg of water h−1 by evaporative cooling at Ta above thermoneutrality (4% of their body mass; Rising and Hudson, 1974). Estimates for other temperate species are comparable, with red breasted nuthatches (Sitta canadensis) losing up to 260 mg of water h−1 by evaporative cooling at high Ta (2.6% of their body mass; Mugaas and Templeton, 1970). As evaporative heat loss at surface tissues is thought to be negligible in contrast to respiratory tissues (Bernstein, 1971), heat dissipation at surface tissues by radiation or conduction therefore provides significant water-retentive advantages when compared with cooling by panting. In desert-dwelling birds, for example, total evaporative water loss may be reduced by 50% when employing methods of dry heat exchange (i.e. peripheral hyperthermia) rather than evaporative cooling (Tieleman and Williams, 1999). Under stressful conditions, water stores may already be compromised (i.e. by stress-induced defecation; Jones et al., 1995; Haas et al., 2010) and the ability to seek and acquire water may be over-ruled by combative or avoidance behaviours. For this reason, elevations in heat transfer from surface tissues of stress-exposed chickadees could also reflect the outcome of a thermoregulatory trade-off at high Ta, where dissipation of heat generated during a stress response, albeit small, is balanced by a pressure to retain water stores.

Stress-induced changes in surface temperature, but not heat transfer, differ between sexes

Our results regarding sex-specific thermal responses to stress exposure provide mixed support for the thermoprotective hypothesis but little to no support for the haemoprotective hypothesis. In our study, the effect of stress exposure on the relationship between eye region temperature and Ta was significantly greater in males than in females (Fig. 3; slope of the interaction between treatment and Ta). This trend was consistent with predictions of the thermoprotective hypothesis, as male chickadees are thought to have lower heat dissipation capacity than females, owing to their larger body size (Foote et al., 2010; Aschoff, 1981; Porter and Kearney, 2009) and lack of brood-patch development (Odum, 1941; Cooper and Voss, 2013). Contrasting the thermoprotective hypothesis and supporting the haemoprotective hypothesis, however, we did not detect a significant effect of sex on the magnitude of stress-induced changes in eye region temperature at low Ta (i.e. the intercept of the relationship between Ta and eye region temperature; Fig. 3), although females were trending toward a larger stress-induced fall in eye region temperature than males at low Ta (Fig. 3). While such similarity between sexes suggests that stress-induced changes in surface temperature do not occur in proportion to metabolic costs in cold environments, these results may more simply reflect an inability of females to further increase heat conservation by peripheral vasoconstriction at such low observed temperatures (as low as ∼2°C in our study). In domestic ducks (Ana boscas), for example, local peripheral vasoconstriction is used to minimize heat loss in the feet during cold exposure, but only until subcutaneous temperatures reach a critically low level (∼8°C; Reite et al., 1977). Similar thermal limits to vasoconstriction are likely to exist for vasculature surrounding the eye region (i.e. the opthalmotemporal, ethmoid and facial veins), and indeed probably exceed that of vasculature in the feet given their close proximity to the brain (Midtgård, 1983). To our surprise, our analyses did not detect differences in the effect of stress exposure on qtotal between sexes, however, a low sample size (nfemales=10, nmales=10) probably contributed to a lack of statistical significance (P=0.146). To our knowledge, no other studies have tested the effect of sex differences in surface temperature responses to stress exposure.

Interestingly, mass did not explain individual variation in the intercept (P=0.373) or slope (P=0.202) of the Ta by treatment interaction in our sample population. While it is possible that variance in mass within our sample population was too low to bestow meaningful influences on heat dissipation capacity (s.d.=0.841), it is more probable that differences in thermal windows between sexes overwhelm mass effects in our experiment; indeed, given our experiment was initiated at the onset of the breeding season for black-capped chickadees (April; Foote et al., 2010), our observed differences in surface temperature under stress exposure are more likely a consequence of females alone displaying brood-patch development. Female brood patch development begins in April at a comparable latitude to our field location (Odum, 1941; Cooper and Voss, 2013); approximately the same time-point at which our experiments were initiated. Although we did not observe abdominal defeathering in our birds during experimentation, females may have displayed greater abdominal vascularization inherent to brood patch development than males (Hinde, 1961; Etche et al., 1979; but see Bailey, 1952), allowing them enhanced heat dissipation capacity at high temperatures (Hill et al., 2014; Nilsson and Nord, 2018), and levelling the slope between Ta and eye region temperature in stress treatments, particularly above thermoneutrality.

In addition to differences in thermal windows between sexes, a more robust change in surface temperature following stress exposure in males could reflect a stronger selective pressure for thermoregulation in this sex, particularly when both Ta and metabolic heat production are high (i.e. during activation of a stress response in warm environments). Differences in thermal fertility limits between sexes have recently been argued as an emerging trend across species, with males typically displaying higher thermal sensitivity than females (Greenwood and Wheeler, 1985; Iossa, 2019). Such sex differences may be exacerbated in taxa where males have internal testes (i.e. birds). Sex-specific thermal limits to fertility could exert a stronger selection pressure for thermoregulatory capacity, or heat dissipation capacity, in male chickadees at high Ta when compared with female chickadees. Higher eye region temperature in male chickadees exposed to both high Ta and perceived stressors may therefore be explained by adaptations to dissipate more heat (that is generated by heat exchange with the environment, and as a byproduct of mounting a physiological and behavioural stress response) at the level of surface tissues when compared with females.

Beyond differences in thermal windows and heat dissipation capacity, the disparity in stress-induced changes in surface temperature between sexes may also be explained by differences in autonomic and steroidal pathways underpinning the thermal response to stress. In birds, males typically display a more robust activation of the hypothalamic–pituitary–adrenal (HPA) axis following stress exposure (Silverin, 1998; Marin et al., 2002; Madison et al., 2008; Wada et al., 2008). Across vertebrates, HPA axis activation is thought to both enhance sympathetic function (Fisher et al., 1982) and sensitize the body to catecholamine availability (Fisher et al., 1982; Krakoff, 1988), thereby exacerbating the tachycardic, tachypneic and haemodynamic response to a perceived stressors (reviewed in Sapolsky et al., 2000). In our study, differences in thermal response curves between sexes (across Ta and treatments) may simply be explained by exacerbated vasoconstriction at the periphery in males below thermoneutrality (Fig. 3), and elevated total heat production in males above thermoneutrality (Fig. 3), each as a consequence of enhanced physiological stress-responsiveness (i.e. tachycardia, tachypnea and avoidance behaviour; Cabanac and Aizawa, 2000; Cabanac and Guillemette, 2001; Greenacre and Lusby, 2004; Long et al., 1990a).

Conclusions

Here, we proposed a new hypothesis stating that changes in surface temperature following exposure to stressors hold direct functional significance by offsetting thermoregulatory costs experienced during activation of a stress response (the thermoprotective hypothesis). This hypothesis contrasts with the dominant theory, which argues that changes in surface temperature following stress exposure are a mere consequence of haemetic redistribution and hold no direct functional significance in themselves. Although our results do not preclude a selective influence of haemorrhage avoidance on stress-induced changes in surface temperature, they do provide support for a functional significance of stress-induced changes in surface temperature, per se, with respect to thermoregulation. Indeed, we show that in a temperate endotherm, stress-induced changes in surface temperature influence dry heat transfer to the environment and allow individuals to conserve more heat at low Ta, and dissipate more heat at high Ta, when experiencing prolonged stress exposure. While such changes in heat conservation and dissipation are suggestive of energetic merits associated with stress-induced changes in surface temperature, direct metabolic consequences of this response remain in question.

Overall, these findings emphasize a seldom-recognized influence of the thermal environment in shaping physiological responses to stress exposure in vertebrates and offer new explanations about the ultimate mechanisms driving a long-recognized physiological phenomenon. In doing so, however, our study raises questions about the suitability of stress-induced thermal flux within the context of a changing global climate, whereby occurrence of extreme heat-waves may negate the thermoregulatory benefits of these stress-induced responses.

Dry heat transfer calculations

Dry heat transfer across the eye region of our black-capped chickadees (mW) was estimated for individuals within thermal images according to Ward et al. (1999), McCafferty et al. (2011) and Nord and Nilsson (2019), with slight modifications. Here, total dry heat transfer (qtotal) was assumed to be equal to the sum of radiative heat transfer (qrad) and convective heat transfer (qconv), with conductive heat transfer excluded (qcond) because the eye regions of our chickadees were unlikely to fall in direct contact with any solids or fluids other than air. Specifically, qrad was quantified according to the following equation:
(A1)
where A is the total area of the eye region in metres, σ is the Stefan–Boltzmann constant (5.67×10−8 Wm−2 K−4, εeye and εenv are emissivity of the eye region (0.95; Best and Fowler, 1981) and of the environment (estimated as 0.95), respectively, Teye is maximum eye region temperature of an individual in a given thermographic image (K) and Ta is the ambient temperature at the time of image capture (K). Furthermore, qconv was quantified as follows:
(A2)
where hc represents the coefficient of heat transfer. For this equation, hc was calculated according to the relationship:
(A3)
where Gr represents the Grashof number (a scalar), 𝔼(k) represents the expected thermal conductivity of air at the time of image capture (W m−1 °C−1) and d represents the diameter of the eye region in metres. For our calculations, 𝔼(k) was estimated for each image using ‘thermimage’ (https://cran.r-project.org/web/packages/Thermimage/index.html) according to the expected relationship:
(A4)
and Gr was calculated according to:
(A5)
where α is thermal expansion coefficient of air (1 K−1), g is the acceleration of gravity (9.81 m s−1) and 𝔼(v) represents the expected kinematic viscosity of air (m2 s−1; at an assumed atmospheric pressure of 101.325 kPa) according to the equation:
(A6)
where coefficients were obtained from Massman (1999).

The average diameter of the eye region in our chickadees was estimated as 1.1×10−2 m, and the area of the eye region was assumed to be an ovoid with a vertical diameter of 1.0×10−2 m.

Exposure to psychogenic stressors is capable of influencing feeding behaviour (Favreau-Peigné et al., 2014), with psychologically stressed individuals feeding either less or more frequently than unstressed individuals (Oliver and Wardle, 1999). To confirm whether repeated stressors applied during stress-induced treatments were sufficient to elicit a behavioural response in our chickadees, we tested whether feeding behaviour differed between control and stress-induced treatments. Because feeding behaviour can be altered by either shifting feeding rate and/or shifting total time spent feeding, we combined these two metrics using a scaled and centred principal component analysis (PCA). As PC1 explained 93.168% of variance in our data and was positively correlated with both loading variables, we used PC1 as our metric for feeding behaviour (termed ‘feeding score’) in subsequent analyses. To aid in visual interpretation, feeding score was normalized between 0 and 100, such that individuals with a high feeding score were observed to feed more frequently and remain feeding for longer periods of time at each visit when compared with those with a low feeding score.

The effect of stress exposure on feeding behaviour was modelled using a generalized additive mixed model (GAMM) in the R package ‘mgcv’ (https://cran.r-project.org/web/packages/mgcv/index.html), with feeding score as the response variable, treatment as a binomial parametric predictor, Ta (°C, mean h−1) and time of day (h) as cubic regression splines, and an interaction term between treatment and each cubic spline (Ta and time of day). Splines were restricted to five knots to circumvent model over-fit while capturing the predicted curvilinear relationship between smooth predictors and the response. Individual identification, flight enclosure and date were included as random intercepts to account for variance in feeding behaviour explained by each parameter. A negative-binomial distribution with log-link and a θ of 2.6 was assumed to account for over-dispersion and Poisson distributed residuals.

Results of our additive model show that feeding score (PC1) significantly differed between treatments, with individuals exposed to rotational stressors feeding less than those experiencing control treatments (nobs=1014, β=−0.068±0.033, z=−2.089, P=0.037; Fig. A1). This effect of treatment on feeding score was not dependent on Ta (nobs=1014, edf=1.864, s.e.m.=0.166, χ2=125.012, P=0.069), nor did Ta alone correlate with feeding score (nobs=1014, edf=3.435, s.e.m.=0.192, χ2=62.187, P=0.403). Time of day, however, was significantly correlated with feeding score (nobs=1014, edf=3.778, s.e.m.=0.109, χ2=36.678, P=0.012), and this relationship significantly differed between treatments, with individuals in control treatments feeding more in morning than those in stress-induced treatments (nobs=1014, edf=0.951, s.e.m.=0.072, χ2=7.811, P=0.017; Fig. A1). Our GAMM explained 37.7% of the deviance in our data.

Exposure to repeated stressors significantly influenced feeding behaviour of black-capped chickadees in our experiment (see Table 2). Because both feeding behaviour and the metabolic consequences of movement implicit in foraging are sufficient to modulate body temperature (see Zhou and Yamamoto, 1997; Sarmiento-Franco et al., 2000; Nord and Nilsson, 2019), we tested whether the effect of repeated stressors on feeding behaviour was sufficient to explain our observed differences in eye temperature across Ta between treatment groups (see Table 1). To do so, we asked whether eye temperature was correlated with feeding score, when controlling for the influence of Ta on both parameters. We addressed this question by averaging eye temperature for each individual per hour, per day, then calculating average Ta during these respective time period. We then quantified the relative difference between observed eye temperature means and those expected at any given Ta (regardless of treatment) by constructing a simple GAM in the R package ‘mgcv’ with mean eye temperature as the response variable, and mean Ta as a smoothed predictor (cubic regression spline with four knots), then extracting residual eye temperature from this GAM. Our previous results (see Table 1) show that the direction of the effect of treatment on eye temperature varies according to Ta. We therefore calculated the absolute values of the eye temperature residuals to create a directionless metric of distance between observed eye temperature means, and expected eye temperature means for a given Ta.

To test whether differences in feeding rate, but not treatment, could explain discrepancies between mean eye temperature for a given individual and that expected for a respective Ta, we constructed a generalized linear mixed effects model [GLMM; R package ‘cplm’ (https://cran.r-project.org/web/packages/cplm/index.html); Zhang, 2013] with residual eye temperature (absolute values, as described above) as the response variable, and feeding score and treatment (binomial factor) as fixed effect predictors. Time (h) was also included is a fixed effect to account for circadian rhythms in body temperature, as well as an interaction between time and treatment to account for significant interaction between each variable observed in our previous model (see Table 1). Residual effects of individual identity, flight enclosure identity, and date were initially accounted for by including each parameter as a random intercept, however, individual identity explained zero variance in our model and was therefore removed. A Tweedie distribution was assumed for our model as our response variable was right-skewed, non-negative, and a non-integer (Tweedie, 1984). Our final model included 581 observations across 50 days, with all four flight enclosures considered.

Results of our GLMM show that feeding score was not significantly correlated with residual eye temperature (β=−0.001, t=−0.491, d.f.=581, P=0.312; Fig. A3) but was significantly influenced by treatment, with stressed individuals displaying high residual eye temperature value (β=1.444, t=2.811, d.f.=581, P=0.003; Fig. A4). Similar to our previous results (Table 1), time alone was not significantly correlated with eye temperature (β=0.041, t=1.105, d.f.=581, P=0.135), however, a significant interaction between time and treatment was observed (β=−0.137, t=−2.794, d.f.=581, P=0.003).

Fig. A4.

Residual eye region temperature of black-capped chickadees according to experimental treatment. Eye region temperature residuals (absolute values, raw) were extracted from a generalized additive model with mean eye temperature (°C) per individual, per hour and day, regressed against respective mean ambient temperatures (Ta, °C), per hour and day. Dots represent marginal means of residual eye temperature for each treatment, as derived from a mixed-effect model. Whiskers represent 95% confidence intervals around mean estimates, and the asterisk represents a significant difference at an α of 0.05 (P=0.003). Observations (n=581) were derived from 50 days, across four flight enclosures.

Fig. A4.

Residual eye region temperature of black-capped chickadees according to experimental treatment. Eye region temperature residuals (absolute values, raw) were extracted from a generalized additive model with mean eye temperature (°C) per individual, per hour and day, regressed against respective mean ambient temperatures (Ta, °C), per hour and day. Dots represent marginal means of residual eye temperature for each treatment, as derived from a mixed-effect model. Whiskers represent 95% confidence intervals around mean estimates, and the asterisk represents a significant difference at an α of 0.05 (P=0.003). Observations (n=581) were derived from 50 days, across four flight enclosures.

A positive relationship between body condition and surface temperature at the eye has been reported in blue tits (Jerem et al., 2018). We therefore tested whether repeated stress exposure was sufficient to decrease body condition, and therefore modulate eye temperature in our study system. To do so, we quantified individual body condition by regressing mass (g) against wing chord (mm) in a linear model and extracting model residuals. Mass measurement at each time intervals were not available for all individuals (n=16 of 20), and individuals without mass measurements at each time interval were removed from analyses (n=4). Residuals were then normalized between 0 and 1 to aid in visual interpretation and are hereafter referred to as ‘body condition’. First, we tested whether body condition of each individual changed between treatments using two paired Student's t-tests. Next, we quantified the total change in body condition (‘Δbody condition’) across each treatment by subtracting each individual's body condition after a given treatment by their respective body condition before the same treatment. The effect of treatment on condition was then tested using an LMM with Δbody condition as the response variable, treatment as a factorial fixed effect and individual identification and flight enclosure as random intercepts. Individual identity and flight enclosure ID, however, were later removed from our model as they explained zero residual variance. Sex and the interaction Treatment×Sex were included to test for sex-specific responses in condition to treatment regimes. The effect of condition on eye temperature alone, however, was not assessed because condition metrics were only available for two time points per treatment (beginning and end), thereby limiting statistical power (π=0.56 at an estimated Cohen's d of 0.50).

Interestingly, we did not detect statistical support for a change in condition across stress treatments (t=−0.959, d.f.=15, P=0.352, n=16) or control treatments (t=−1.008, d.f.=15, P=0.330, n=16; Fig. A5). Similarly, the total change in condition scores across a treatment did not statistically differ between treatment types (nobs=32, β=0.035, t=0.611, P=0.546; Fig. A5), sexes (nobs=32, β=0.069, t=1.040, P=0.307; Fig. A4) or an interaction between both factors (nobs=32, β=−0.058, t=−0.623, P=0.538).

We thank Lianne Ralph for exceptional patience and field assistance, Glenn Tattersall for thermographic advice, Simon Tapper and Robby Marrotte for statistical input, Jan-Åke Nilsson and Andreas Nord for theoretical conversations, James Quinn for his generous contribution of laboratory space, and Kimberley Tasker and Tyler Maksymiw for their assistance in aviary construction. Additionally, we thank the staff and avian banding team at the Ruthven Park National Historic Site for their immense support in experimental procedures.

Author contributions

Conceptualization: J.K.R., G.M., G.B.; Methodology: J.K.R.; Software: J.K.R.; Validation: J.K.R.; Formal analysis: J.K.R.; Investigation: J.K.R.; Resources: G.M., G.B.; Data curation: J.K.R.; Writing - original draft: J.K.R.; Writing - review & editing: G.M., G.B.; Visualization: J.K.R., G.B.; Supervision: G.M., G.B.; Project administration: G.M., G.B.; Funding acquisition: G.M., G.B.

Funding

Funding for this research was provided by the Natural Sciences and Engineering Research Council of Canada (NSERC) to G.B. (RGPIN-04158-2014). Further funding was provided by an NSERC Collaborative Research and Training Experience Program to Albrecht Schulte-Hostedde (Laurentian University, Sudbury, Ontario, Canada; CREATE 481954-2016).

Data availability

All data used for this study have been deposited in the Dryad Digital Repository (Robertson et al., 2020): https://doi.org/10.5061/dryad.jsxksn05x.

Abolins-Abols
,
M.
,
Hope
,
S.
and
Ketterson
,
E.
(
2016
).
Effect of acute stressor on reproductive behavior differs between urban and rural birds
.
Ecol. Evol.
6
,
6546
-
6555
.
Aiken
,
L.
and
West
,
S.
(
1991
).
Multiple Regression: Testing and Interpreting Interactions
.
Newbury Park, CA
:
Sage
.
Alonso
,
J.
,
Salgado
,
I.
and
Palacín
,
C.
(
2016
).
Thermal tolerance may cause sexual segregation in sexually dimorphic species living in hot environments
.
Behav. Ecol.
27
,
717
-
724
.
Aschoff
,
J.
(
1981
).
Thermal conductance in mammals and birds: its dependence on body size and circadian phase
.
Comp. Biochem. Physiol. A
69
,
611
-
619
.
Astheimer
,
L. B.
,
Buttemer
,
W. A.
and
Wingfield
,
J. C.
(
1995
).
Seasonal and acute changes in adrenocortical responsiveness in an arctic-breeding bird
.
Horm. Behav.
29
,
442
-
457
.
Bailey
,
R. E.
(
1952
).
The incubation patch of passerine birds
.
Condor
54
,
121
-
136
.
Bech
,
C. C.
and
Midtgård
,
U.
(
1981
).
Brain temperature and the rete mirabile ophthalmicum in the zebra finch (Poephila guttata)
.
J. Comp. Physiol.
145
,
89
-
93
.
Bernstein
,
M.
(
1971
).
Cutaneous water loss in small birds
.
Condor
73
,
468
-
469
.
Best
,
R.
and
Fowler
,
R.
(
1981
).
Infrared emissivity and radiant surface temperatures of canada and snow geese
.
J. Wildl. Manag.
45
,
1026
-
1029
.
Cabanac
,
M.
and
Aizawa
,
S.
(
2000
).
Fever and tachycardia in a bird (Gallus domesticus) after simple handling
.
Physiol. Behav.
69
,
541
-
545
.
Cabanac
,
M.
and
Bernieri
,
C.
(
2000
).
Behavioral rise in body temperature and tachycardia by handling of a turtle (Clemmys insculpta)
.
Behav. Process.
49
,
61
-
68
.
Cabanac
,
M.
and
Gosselin
,
F.
(
1993
).
Emotional fever in the lizard Callopistes maculatus (Teiidae)
.
Anim. Behav.
46
,
200
-
200
.
Cabanac
,
A. J.
and
Guillemette
,
M.
(
2001
).
Temperature and heart rate as stress indicators of handled common eider
.
Physiol. Behav.
74
,
475
-
479
.
Cabanac
,
M.
and
Laberge
,
F.
(
1998
).
Fever in gold fish is induced by pyrogens but not by handling
.
Physiol. Behav.
63
,
377
-
379
.
Cooper
,
S.
and
Gessaman
,
J.
(
2005
).
Nocturnal hypothermia in seasonally acclimatized mountain chickadees and juniper titmice
.
Condor
107
,
151
-
155
.
Cooper
,
C.
and
Voss
,
M.
(
2013
).
Avian incubation patterns reflect temporal changes in developing clutches
.
PLoS ONE
8
,
e65521
.
Cyr
,
N.
and
Romero
,
L.
(
2007
).
Chronic stress in free-living european starlings reduces corticosterone concentrations and reproductive success
.
Gen. Comp. Endocrinol.
151
,
82
-
89
.
Darlington
,
D.
,
Shinsako
,
J.
and
Dallman
,
M.
(
1986
).
Responses of ACTH, epinephrine, norepinephrine, and cardiovascular system to hemorrhage
.
Am. Physiol. Soc.
251
,
H612
-
H618
.
Etche
,
R.
,
Garbutt
,
A.
and
Middleton
,
A.
(
1979
).
Plasma concentrations of prolactin during egg laying and incubation in the ruffed grouse (Bonasa umbellus)
.
Can. J. Zool.
57
,
1624
-
1627
.
Favreau-Peigné
,
A.
,
Calandreau
,
L.
,
Constantin
,
P.
,
Gaultier
,
B.
,
Bertin
,
A.
,
Arnould
,
C.
,
Laurence
,
A.
,
Richard-Yris
,
M.-A.
,
Houdelier
,
C.
,
Lumineau
,
S.
, et al. 
(
2014
).
Emotionality modulates the effect of chronic stress on feeding behaviour in birds
.
PLoS ONE
9
,
e87249
.
Fisher
,
L.
,
Rivier
,
J.
,
Rivier
,
C.
,
Spiess
,
J.
,
Vale
,
W.
and
Brown
,
M.
(
1982
).
Corticotropin releasing factor (CRF): central effects on mean arterial pressure and heart rate in rats
.
Endocrinol.
110
,
2222
-
2224
.
Foote
,
J.
,
Mennill
,
D.
,
Ratcliffe
,
L.
and
Smith
,
S.
(
2010
).
Black-capped chickadee
. In
The Birds of North America
(ed.
A.
Poole
), .
Ithaca
:
Cornell Laboratory of Ornithology
.
Fox
,
J.
and
Weisberg
,
S.
(
2019
).
An R Companion to Applied Regression
, 3rd edn.
Thousand Oaks, CA
:
Sage
. .
Freeman
,
M.
(
1932
).
Decrease in blood volume after prolonged hyperactivity of the sympathetic nervous system
.
Am. J. Physiol.
108
,
185
-
202
.
Fridolfsson
,
A.
and
Ellegren
,
H.
(
1999
).
A simple and universal method for molecular sexing of non-ratite birds
.
J. Avian. Biol.
30
,
116
-
121
.
Greenacre
,
C. B.
and
Lusby
,
A. L.
(
2004
).
Physiologic responses of amazon parrots (Amazona species) to manual restraint
.
J. Avian. Med. Surg.
18
,
19
-
23
.
Greenwood
,
P. J.
and
Wheeler
,
P.
(
1985
).
The evolution of sexual size dimorphism in birds and mammals: a ‘hot blooded’ hypothesis
. In
Evolution: Essays in Honour of John Maynard Smith
(ed.
P. J.
Greenwood
,
P. H.
Harvey
and
M.
Slatkitt
), pp.
287
-
299
.
New York
:
Cambridge University Press
.
Griffiths
,
R.
,
Dean
,
S.
and
Dijkstra
,
C.
(
1996
).
Sex identification in birds using two CHD genes
.
Proc. R. Soc. B
263
,
1251
-
1256
.
Grossman
,
A. F.
and
West
,
G. C.
(
1977
).
Metabolic rate and temperature regulation of winter acclimatized black-capped chickadees Parus atricapillus of interior alaska
.
Ornis. Scand.
8
,
127
-
138
.
Haas
,
E. N.
,
Nielsen
,
B.
,
Buitenhuis
,
A.
and
Rodenburg
,
T.
(
2010
).
Selection on feather pecking affects response to novelty and foraging behaviour in laying hens
.
Appl. Anim. Behav. Sci.
124
,
90
-
96
.
Herborn
,
K.
,
Graves
,
J.
,
Jerem
,
P.
,
Evans
,
N.
,
Nager
,
R.
,
McCafferty
,
D.
and
McKeegan
,
D.
(
2015
).
Skin temperature reveals the intensity of acute stress
.
Physiol. Behav.
152
,
225
-
230
.
Herborn
,
K.
,
Jerem
,
P.
,
Nager
,
R.
,
McKeegan
,
D.
and
McCafferty
,
D.
(
2018
).
Surface temperature elevated by chronic and intermittent stress
.
Physiol. Behav.
191
,
47
-
55
.
Hill
,
D.
,
Lindström
,
J.
,
McCafferty
,
D.
and
Nager
,
R. G.
(
2014
).
Female but not male zebra finches adjust heat output in response to increased incubation demand
.
J. Exp. Biol.
217
,
1326
-
1332
.
Hinde
,
R. A.
(
1961
).
Temporal relations of brood patch development in domesticated canaries
.
Ibis
104
,
90
-
97
.
Hiramoto
,
T.
,
Oka
,
T.
,
Yoshihara
,
K.
and
Kubo
,
C.
(
2009
).
Pyrogenic cytokines did not mediate a stress interview-induced hyperthermic response in a patient with psychogenic fever: a case report
.
Psychosom. Med.
71
,
932
-
936
.
Iossa
,
G.
(
2019
).
Sex-specific differences in thermal fertility limits
.
Trends Ecol. Evol.
34
,
490
-
492
.
Jerem
,
P.
,
Herborn
,
K.
,
McCafferty
,
D.
,
McKeegan
,
D.
and
Nager
,
R.
(
2015
).
Thermal imaging to study stress non-invasively in unrestrained birds
.
J. Vis. Exp.
105
,
e53184
.
Jerem
,
P.
,
Jenni-Eiermann
,
S.
,
Herborn
,
K.
,
McKeegan
,
D.
,
McCaferty
,
D. J.
and
Nager
,
R. G.
(
2018
).
Eye region surface temperature reflects both energy reserves and circulating glucocorticoids in a wild bird
.
Sci. Rep.
8
,
1907
.
Jones
,
R.
,
Blokuis
,
H.
and
Beuving
,
G.
(
1995
).
Open-field and tonic immobility responses in domestic chicks of two genetic lines differing in their propensity to feather peck
.
Br. Poult. Sci.
36
,
525
-
530
.
Jones
,
N. A. R.
,
Mendo
,
T.
,
Broell
,
F.
and
Webster
,
M.
(
2019
).
No experimental evidence of stress-induced hyperthermia in zebrafish (Danio rerio)
.
J. Exp. Biol.
222
,
jeb192971
.
Karasov
,
W.
,
Brittingham
,
M.
and
Temple
,
S.
(
1992
).
Daily energy and expenditure by black-capped chickadees (Parus atricapillus) in winter
.
Auk
109
,
393
-
395
.
Krakoff
,
L. R.
(
1988
).
Glucocorticoid excess syndromes causing hypertension
.
Cardiol. Clin.
6
,
537
-
545
.
Long
,
N. C.
,
Vander
,
A. J.
and
Kluger
,
M. J.
(
1990a
).
Stress-induced rise of body temperature in rats is the same in warm and cool environments
.
Physiol. Behav.
47
,
773
-
775
.
Long
,
N.
,
Vander
,
A.
,
Kunkel
,
S.
and
Kluger
,
M.
(
1990b
).
Antiserum against tumor necrosis factor increases stress hyperthermia in rats
.
Am. J. Physiol.
258
,
R591
-
R595
.
Madison
,
F. N.
,
Jurkevich
,
A.
and
Kuenzel
,
W. J.
(
2008
).
Sex differences in plasma corticosterone release in undisturbed chickens (Gallus gallus) in response to arginine vasotocin and corticotropin releasing hormone
.
Gen. Comp. Endocrinol.
155
,
566
-
573
.
Marin
,
R. H.
,
Benavidez
,
E.
,
Garcia
,
D. A.
and
Satterlee
,
D. G.
(
2002
).
Sex differences in central benzodiazepine receptor densities and circulating corticosterone release after acute stress in broiler chicks
.
Poult. Sci.
81
,
261
-
264
.
Massman
,
W. J.
(
1999
).
Molecular diffusivities of Hg vapor in air, O2 and N2 near STP and the kinematic viscosity and thermal diffusivity of air near STP
.
Atmos. Environ.
33
,
453
-
457
.
McCafferty
,
D. J.
,
Gilbert
,
C.
,
Paterson
,
W.
,
Pomeroy
,
P. P.
,
Thompson
,
D.
,
Currie
,
J. I.
and
Ancel
,
A.
(
2011
).
Estimating metabolic heat-loss in birds and mammals by combining infrared thermography with biophysical modelling
.
Comp. Biochem. Physiol. A Mol. Integr. Physiol.
158
,
337
-
345
.
McGuigan
,
H.
and
Atkinson
,
H.
(
1921
).
The effect of hemorrhage on the sympathetic nerves
.
Am. J. Physiol.
57
,
95
-
103
.
Midtgård
,
U.
(
1983
).
Scaling of the brain and the eye cooling system in birds: a morphometric analysis of the rete ophthalmicum
.
J. Exp. Zool.
225
,
197
-
207
.
Minkina
,
W.
and
Dudzik
,
S.
(
2009
).
Infrared Thermography Errors and Uncertainties
.
Chichester
,
UK
:
J Wiley Press
.
Mugaas
,
J.
and
Templeton
,
J.
(
1970
).
Thermoregulation in the red-breasted nuthatch (sitta canadensis)
.
Condor
72
,
125
-
132
.
Nilsson
,
J.-Å.
and
Nord
,
A.
(
2018
).
Testing the heat dissipation limit theory in a breeding passerine
.
Proc. R. Soc. Lond. B Biol. Sci.
285
,
20180652
.
Nilsson
,
A. L.
,
Nilsson
,
J.-Å.
and
Alerstam
,
T.
(
2011
).
Basal metabolic rate and energetic cost of thermoregulation among migratory and resident blue tits
.
Oikos
120
,
1784
-
1789
.
Nord
,
A.
and
Folkow
,
L.
(
2019
).
Ambient temperature effects on stress-induced hyperthermia in Svalbard ptarmigan
.
Biol. Open
8
,
043497
.
Nord
,
A.
and
Nilsson
,
J.
(
2019
).
Heat dissipation rate constrains reproductive investment in a wild bird
.
Funct. Ecol.
33
,
250
-
259
.
Odum
,
E.
(
1941
).
Annual cycle of the black-capped chickadee: 2
.
Auk
58
,
518
-
535
.
Oka
,
T.
(
2018
).
Stress-induced hyperthermia and hypothermia
.
Handb. Clin. Neurol.
157
,
599
-
621
.
Oka
,
T.
,
Oka
,
K.
and
Hori
,
T.
(
2001
).
Mechanisms and mediators of psychological stress-induced rise in core temperature
.
Psychosom. Med.
63
,
476
-
486
.
Oliver
,
G.
and
Wardle
,
J.
(
1999
).
Perceived effects of stress on food choice
.
Physiol. Behav.
66
,
511
-
515
.
Parviz
,
M.
,
Anushiravani
,
M.
and
Keshavarz
,
M.
(
2013
).
The relationship between vital spirit and fevers in the “canon of medicine”: a probable solution for the controversy over stress-induced hyperthermia
.
Iran J. Public Health.
42
,
1073
.
Petit
,
M.
and
Vézina
,
F.
(
2014
).
Reaction norms in natural conditions: how does metabolic performance respond to weather variations in a small endotherm facing cold environments?
PLoS ONE
9
,
e113617
.
Porter
,
W.
and
Kearney
,
M.
(
2009
).
Size, shape, and the thermal niche of endotherms
.
Proc. Nat. Acad. Sci. USA
106
,
19666
-
19672
.
Reinertsen
,
R.
and
Haftorn
,
S.
(
1984
).
The effect of short-time fasting on metabolism and nocturnal hypothermia in the willow tit, Parus montanus
.
J. Comp. Physiol. B
154
,
23
-
28
.
Reite
,
O. B.
,
Millard
,
R. W.
and
Johansen
,
K.
(
1977
).
Effects of low tissue temperature on peripheral vascular control mechanisms
.
Acta Physiol. Scand.
101
,
247
-
253
.
Rey
,
S.
,
Huntingford
,
F.
,
Boltaña
,
S.
,
Vargas
,
R.
,
Knowles
,
T.
and
Mackenzie
,
S.
(
2015
).
Fish can show emotional fever: Stress-induced hyperthermia in zebra fish
.
Proc. R. Soc. B
282
,
20152266
.
Rich
,
E.
and
Romero
,
L.
(
2005
).
Exposure to chronic stress downregulates corticosterone responses to acute stressors
.
Am. J. Physiol. Regul. Integr. Comp. Physiol.
288
,
R1628
-
R1636
.
Rising
,
J.
and
Hudson
,
J.
(
1974
).
Seasonal variation in the metabolism and thyroid activity of the black-capped chickadee (Parus atricapillus)
.
Condor
76
,
198
-
203
.
Robertson
,
J.
,
Mastromonaco
,
G.
and
Burness
,
G.
(
2020
).
Evidence that stress-induced changes in surface temperature serve a thermoregulatory function
.
Dryad, Dataset
,
Sanches
,
D.
,
Steiner
,
A.
and
Branco
,
L.
(
2002
).
Involvement of neuronal nitric oxide synthase in restraint stress-induced fever in rats
.
Physiol. Behav.
75
,
261
-
266
.
Sapolsky
,
R.
,
Romero
,
L.
and
Munck
,
A.
(
2000
).
How do glucocorticoids influence stress responses? Integrating permissive, suppressive, stimulatory, and preparative actions
.
Endocr. Rev.
21
,
55
-
89
.
Sarmiento-Franco
,
L.
,
MacLeod
,
M. G.
and
McNab
,
J. M.
(
2000
).
True metabolisable energy, heat increment and net energy values of two high bred foodstuffs in cockerels
.
Br. Poult. Sci.
41
:
625
-
629
.
Schindelin
,
J.
,
Arganda-Carreras
,
I.
,
Frise
,
E.
,
Kaynig
,
V.
,
Longair
,
M.
,
Pietzsch
,
T.
,
Preibisch
,
S.
,
Rueden
,
C.
,
Saalfeld
,
S.
,
Schmid
,
B.
, et al. 
(
2012
).
Fiji: an open-source platform for biological-image analysis
.
Nat. Methods
9
,
676
-
682
.
Seutin
,
G.
,
White
,
B.
and
Boag
,
P.
(
1991
).
Preservation of avian blood and tissue samples for DNA analyses
.
Can. J. Zool.
9
,
82
-
90
.
Silverin
,
B.
(
1998
).
Stress responses in birds
.
Poult. Avian. Biol. Rev.
9
,
153
-
168
.
Simmons
,
J.
,
Lott
,
B.
and
May
,
J.
(
1997
).
Heat loss from broiler chickens subjected to various air speeds and ambient temperatures
.
Appl. Eng. Agric.
13
,
665
-
670
.
Singer
,
R.
,
Harker
,
C.
,
Vander
,
A.
and
Kluger
,
M.
(
1986
).
Hyperthermia induced by open-field stress is blocked by salicylate
.
Physiol. Behav.
36
,
1179
-
1182
.
Soszynski
,
D.
,
Kozak
,
W.
and
Kluger
,
M.
(
1998
).
Endotoxin tolerance does not alter open field-induced fever in rats
.
Physiol. Behav.
63
,
689
-
692
.
Tattersall
,
G.
(
2016
).
Infrared thermography: a non-invasive window into thermal physiology
.
Comp. Biochem. Physiol. A Mol. Integr. Physiol.
202
,
78
-
98
.
Tattersall
,
G. J.
,
Andrade
,
D. V.
and
Abe
,
A. S.
(
2009
).
Heat exchange from the toucan bill reveals a controllable vascular thermal radiator
.
Science
325
,
468
-
470
.
Tieleman
,
B. I.
and
Williams
,
J. B.
(
1999
).
The role of hyperthermia in the water economy of desert birds
.
Physiol. Biochem. Zool.
72
,
87
-
100
.
Tieleman
,
B. I.
and
Williams
,
J. B.
(
2002
).
Cutaneous and respiratory water loss in larks from arid and mesic environments
.
Physiol. Biochem. Zool.
75
,
590
-
599
.
Tweedie
,
M. CK.
(
1984
).
An index which distinguishes between some important exponential families. In Statistics: applications and new directions
.
Proc. Indian Stat. Inst.
579
,
579
-
604
.
Vinkers
,
C.
,
Groenink
,
L.
,
van Bogaert
,
M.
,
Westphal
,
K.
,
Kalkman
,
C.
,
van Oorschot
,
R.
,
Oosting
,
R.
,
Olivier
,
B.
and
Korte
,
S.
(
2009
).
Stress-induced hyperthermia and infection-induced fever: two of a kind?
Physiol. Behav.
98
,
37
-
43
.
Wada
,
H.
,
Salvante
,
K. G.
,
Stables
,
C.
,
Wagner
,
E.
,
Williams
,
T. D.
and
Breuner
,
C. W.
(
2008
).
Adrenocortical responses in zebra finches (Taeniiopygia guttata): individual variation, repeatability, and relationship to phenotypic quality
.
Horm. Behav.
53
,
472
-
480
.
Ward
,
S.
,
Rayner
,
J.
,
Möller
,
U.
,
Jackson
,
D.
,
Nachtigall
,
W.
and
Speakman
,
J.
(
1999
).
Heat transfer from starlings Sturnus vulgaris during flight
.
J. Exp. Biol.
202
,
1589
-
1602
.
Wingfield
,
J.
,
Vleck
,
C.
and
Moore
,
M.
(
1992
).
Seasonal changes of the adrenocortical response to stress in birds of the Sonoran desert
.
J. Exp. Zool.
264
,
419
-
428
.
Wolfenson
,
D.
,
Frei
,
Y.
,
Snapir
,
N.
and
Berman
,
A.
(
1981
).
Heat stress effects on capillary blood flow and its redistribution in the laying hen
.
Pflügers Archiv.
390
,
86
-
93
.
Wood
,
S.
(
2011
).
Fast stable restricted maximum likelihood and marginal likelihood estimation of semiparametric generalized linear models
.
J. R. Stat. Soc. B.
73
,
3
-
36
.
Yeo
,
I.
(
2005
).
Hippocrates in the context of Galen: Galen's commentary on the classification of fevers in epidemics vi
.
Stud. Anc. Med.
31
,
433
-
443
.
Yokoi
,
Y.
(
1966
).
Effect of ambient temperature upon emotional hyperthemia and hypothermia in rabbits
.
J. Appl. Physiol.
21
,
1795
-
1798
.
Zhou
,
W. T.
and
Yamamoto
,
S.
(
1997
).
Effects of environmental temperature and heat production due to food intake on abdominal temperature, shank skin temperature and respiration rate of broilers
.
Br. Poul. Sci.
38
,
107
-
114
.

Competing interests

The authors declare no competing or financial interests.