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885 Thermoregulation during Flight: Body Temperature and Sensible Heat Transfer in Free-Ranging Brazilian Free-Tailed Bats (Tadarida brasiliensis) * Corresponding author; e-mail: [email protected]. E-mail: [email protected]. E-mail: [email protected]. § E-mail: [email protected]. Physiological and Biochemical Zoology 83(6):885–897. 2010. 2010 by The University of Chicago. All rights reserved. 1522-2152/2010/8306-9178$15.00. DOI: 10.1086/657253 Jonathan D. Reichard * Spenser R. Fellows Alexander J. Frank Thomas H. Kunz § Center for Ecology and Conservation Biology, Department of Biology, Boston University, Boston, Massachusetts 02215 Accepted 9/8/2010; Electronically Published 10/29/2010 ABSTRACT Bat wings are important for thermoregulation, but their role in heat balance during flight is largely unknown. More than 80% of the energy consumed during flight generates heat as a by-product, and thus it is expected that bat wings should dis- sipate large amounts of heat to prevent hyperthermia. We mea- sured rectal (T r ) and surface (T s ) temperatures of Brazilian free- tailed bats (Tadarida brasiliensis) as they emerged from and returned to their daytime roosts and calculated sensible heat transfer for different body regions (head, body, wings, and tail membrane). Bats’ T r decreased from 36.8C during emergence flights to 34.4C during returns, and T s scaled positively with ambient temperature (T a ). Total radiative heat loss from bats was significantly greater for a radiative sink to the night sky than for a sink with temperature equal to T a . We found that free-ranging Brazilian free-tailed bats, on average, do not dis- sipate heat from their wings by convection but instead dissipate radiative heat (L) to the cloudless night sky during flight ( W). However, within the range of T a mea- L p 0.85 0.12 sky sured in this study, T. brasiliensis experienced net heat loss between evening emergence and return flights. Regional hy- pothermia reduces heat loss from wings that are exposed to potentially high convective fluxes. Additional research is needed to establish the role of wings in evaporative cooling during flight in bats. Introduction Powered flight enables bats to rapidly move long distances while foraging, dispersing, and migrating, but this activity also poses unique challenges with respect to energy expenditure, ther- moregulation, and water balance. Physical and physiological models predict that less than 20%, and as little as 4%, of the metabolic power that is used by bats and birds during flapping flight is converted to mechanical power, while the remaining energy expenditure generates by-product heat (Carpenter 1986; Speakman and Thomas 2003). It has long been expected that bats dissipate body heat from their naked and highly vascular wing membranes (Cowles 1947; Reeder and Cowles 1951; Kluger and Heath 1970). However, small-bodied bats have a large body surface area–to-volume ratio even when wings are excluded, resulting in potentially high rates of heat loss during flight. The balance between thermogenesis and heat loss may be especially important for bats that fly for prolonged periods or in warm air. Euthermic body temperature during flight is important for promoting efficient muscle activity, enzymatic functions, and other physiological processes (Reeder and Cowles 1951; Nelson et al. 1977). Recent technological devel- opments in thermal infrared (TIR) imaging make it possible to quantify surface temperature (T s ) and heat transfer in free- ranging bats. The Brazilian free-tailed bat (Tadarida brasiliensis) is com- mon in subtropical regions of the Americas. In North America, this species forms large colonies in caves, bridges, and buildings (Kunz and Reynolds 2003; McCracken 2003; Keeley and Keeley 2004; Betke et al. 2008; Hristov et al. 2010), where maternity roost temperatures may reach 40C in summer (Herreid 1963; Kunz and Robson 1995; Allen et al. 2010). Brazilian free-tailed bats emerge nightly to commute and feed on insects at altitudes near 800–1,100 m, potentially reaching 3,000 m (Williams et al. 1973; McCracken et al. 2008) and flying as far as 56 km from the roost to foraging grounds (Best and Geluso 2003; T. H. Kunz and M. Wikelski, unpublished data). Reproductive females often participate in two or more foraging bouts each night, returning to the roost to suckle offspring between bouts (McCracken and Gustin 1991; Kunz et al. 1995). Although some individuals may use separate night roosts (T. H. Kunz and M. Wikelski, unpublished data), it is expected that, on average, Brazilian free-tailed bats are on the wing for up to 8 h per night (Kunz et al. 1995). Dietary analysis suggests that this species may rely largely on metabolic water, given that free water for drinking can be limited throughout much of its geo- graphic range in southern United States and northern Mexico

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885

Thermoregulation during Flight: Body Temperature and Sensible

Heat Transfer in Free-Ranging Brazilian Free-Tailed Bats

(Tadarida brasiliensis)

* Corresponding author; e-mail: [email protected].† E-mail: [email protected].‡ E-mail: [email protected].§ E-mail: [email protected].

Physiological and Biochemical Zoology 83(6):885–897. 2010. ! 2010 by TheUniversity of Chicago. All rights reserved. 1522-2152/2010/8306-9178$15.00.DOI: 10.1086/657253

Jonathan D. Reichard*

Spenser R. Fellows†

Alexander J. Frank‡

Thomas H. Kunz§

Center for Ecology and Conservation Biology, Department ofBiology, Boston University, Boston, Massachusetts 02215

Accepted 9/8/2010; Electronically Published 10/29/2010

ABSTRACT

Bat wings are important for thermoregulation, but their rolein heat balance during flight is largely unknown. More than80% of the energy consumed during flight generates heat as aby-product, and thus it is expected that bat wings should dis-sipate large amounts of heat to prevent hyperthermia. We mea-sured rectal (Tr) and surface (Ts) temperatures of Brazilian free-tailed bats (Tadarida brasiliensis) as they emerged from andreturned to their daytime roosts and calculated sensible heattransfer for different body regions (head, body, wings, and tailmembrane). Bats’ Tr decreased from 36.8"C during emergenceflights to 34.4"C during returns, and Ts scaled positively withambient temperature (Ta). Total radiative heat loss from batswas significantly greater for a radiative sink to the night skythan for a sink with temperature equal to Ta. We found thatfree-ranging Brazilian free-tailed bats, on average, do not dis-sipate heat from their wings by convection but instead dissipateradiative heat (L) to the cloudless night sky during flight( W). However, within the range of Ta mea-L p 0.85 # 0.12sky

sured in this study, T. brasiliensis experienced net heat lossbetween evening emergence and return flights. Regional hy-pothermia reduces heat loss from wings that are exposed topotentially high convective fluxes. Additional research is neededto establish the role of wings in evaporative cooling duringflight in bats.

Introduction

Powered flight enables bats to rapidly move long distances whileforaging, dispersing, and migrating, but this activity also posesunique challenges with respect to energy expenditure, ther-moregulation, and water balance. Physical and physiologicalmodels predict that less than 20%, and as little as 4%, of themetabolic power that is used by bats and birds during flappingflight is converted to mechanical power, while the remainingenergy expenditure generates by-product heat (Carpenter 1986;Speakman and Thomas 2003). It has long been expected thatbats dissipate body heat from their naked and highly vascularwing membranes (Cowles 1947; Reeder and Cowles 1951;Kluger and Heath 1970). However, small-bodied bats have alarge body surface area–to-volume ratio even when wings areexcluded, resulting in potentially high rates of heat loss duringflight. The balance between thermogenesis and heat loss maybe especially important for bats that fly for prolonged periodsor in warm air. Euthermic body temperature during flight isimportant for promoting efficient muscle activity, enzymaticfunctions, and other physiological processes (Reeder andCowles 1951; Nelson et al. 1977). Recent technological devel-opments in thermal infrared (TIR) imaging make it possibleto quantify surface temperature (Ts) and heat transfer in free-ranging bats.

The Brazilian free-tailed bat (Tadarida brasiliensis) is com-mon in subtropical regions of the Americas. In North America,this species forms large colonies in caves, bridges, and buildings(Kunz and Reynolds 2003; McCracken 2003; Keeley and Keeley2004; Betke et al. 2008; Hristov et al. 2010), where maternityroost temperatures may reach 40"C in summer (Herreid 1963;Kunz and Robson 1995; Allen et al. 2010). Brazilian free-tailedbats emerge nightly to commute and feed on insects at altitudesnear 800–1,100 m, potentially reaching 3,000 m (Williams etal. 1973; McCracken et al. 2008) and flying as far as 56 kmfrom the roost to foraging grounds (Best and Geluso 2003; T.H. Kunz and M. Wikelski, unpublished data). Reproductivefemales often participate in two or more foraging bouts eachnight, returning to the roost to suckle offspring between bouts(McCracken and Gustin 1991; Kunz et al. 1995). Althoughsome individuals may use separate night roosts (T. H. Kunzand M. Wikelski, unpublished data), it is expected that, onaverage, Brazilian free-tailed bats are on the wing for up to 8h per night (Kunz et al. 1995). Dietary analysis suggests thatthis species may rely largely on metabolic water, given that freewater for drinking can be limited throughout much of its geo-graphic range in southern United States and northern Mexico

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886 J. D. Reichard, S. R. Fellows, A. J. Frank, and T. H. Kunz

(Kunz et al. 1995). Elevated nighttime humidity also reducesthe potential for evaporative cooling. Thus, sensible (nonevap-orative) heat loss through radiative and convective coolingshould assume an important role in maintaining appropriatebody temperature and water balance during flight. As Brazilianfree-tailed bats disperse and forage outside the boundary layernear the ground, they are exposed to greater convective andradiative fluxes to the cool night sky above or the warmerground below.

Theoretically, bat wings should be suitable for regulating heatexchange because they can be flushed with warm blood fromthe body (Cowles 1947). The Brazilian free-tailed bat has arelatively high thermoneutral zone, ranging from 33" to 38"C(Herreid and Schmidt-Nielsen 1966), which is above typicalnighttime ambient temperature (Ta) in the southwestern UnitedStates. However, Soriano et al. (2002) reported a lower ther-moneutral zone (26"–33"C) in T. brasiliensis from higher-elevation forests. Thus, heated blood traveling through nakedwing membranes should cool rapidly when bats are flying, caus-ing wing temperatures to be significantly influenced by air tem-perature (Bartholomew et al. 1964; Lancaster et al. 1997). Thiscooling can be accelerated by high convective forces duringflight. Although bats may upregulate blood flow through theflight membranes and flap their wings to dissipate heat whenroosting under heat stress (Reeder and Cowles 1951; Ochoa-Acuna and Kunz 1998), blood can be shunted away from thewings to sustain muscle activity during flight (Reeder andCowles 1951; Stones and Wiebers 1965). While research on theroosting ecology of bats is critical to our understanding of batbiology (Kunz 1982; Kunz and Lumsden 2003), such studieshave limited ecological relevance to the role of wings in dis-sipating heat during flight.

We measured rectal temperature (Tr), as an estimate of bodytemperature (Tb), and Ts of free-ranging Brazilian free-tailedbats to estimate sensible heat transfer (Gs) and determine therelative capacity for radiative and convective dissipation of heatfrom different regions of the body. We used TIR imaging tomeasure Ts before and after sustained foraging flights (i.e., dur-ing evening emergence from the roost and returns near mid-night and sunrise, respectively). TIR imaging provides detailedmeasurement of Ts without interfering with natural activity orphysiology and has led to important discoveries in the field ofthermal biology (Phillips and Heath 1995; Mauck et al. 2003;Scott et al. 2008; Tattersall et al. 2009; Reichard et al. 2010).However, this technology has been employed more often incaptive situations than in the wild (Lancaster et al. 1997) andoften on stationary or constrained subjects (McCafferty 2007).To our knowledge, this and a companion study (Reichard etal. 2010) are the first studies to use TIR technology to quantifyheat transfer from flying bats in their natural environment.

Using standard equations for convective and radiative heattransfer, we estimated Gs for the body, head, wings, and tailmembrane over a range of Ta and compared Gs to expectedflight-related thermogenesis predicted from allometric models(Speakman and Thomas 2003). We tested the hypothesis thatheat loss to the environment balances estimated thermogenesis

during flight, making it possible for bats to avoid hyperthermiawhile foraging, commuting, or migrating. If heat loss exceedsheat production during sustained flight, then Tb would be ex-pected to decrease. Newton’s Law of Cooling is that heat ex-change is driven by temperature gradients. Thus, as Tb de-creases, the resulting smaller gradient between Tb and Ta willlessen Gs and approach a balance between thermogenesis andsensible heat loss. However, if equilibrium Tb is too low, thenanimals will incur an additional energetic cost to maintainadequately elevated Tb. This cost has implications for trade-offs in energy and time budgets during foraging and migration.Alternatively, if Gs is less than heat production, Tb may beexpected to increase unless there is adequate dissipation of heatthrough evaporative cooling. We predicted that Ts for all bodyregions would vary with Ta but that would increase ifT ! Ts a

bats increased peripheral blood flow to dissipate heat. We con-ducted this study to establish relationships between Tr, Gs, andTa under natural conditions typically experienced by the Bra-zilian free-tailed bat.

Material and Methods

Study Species and Site

The Brazilian free-tailed bat (Tadarida brasiliensis) is a relativelysmall, insectivorous bat (body mass p ca. 12 g for a non-pregnant adult female) that has a transcontinental range ex-tending from Argentina to southern Oregon in the UnitedStates (Wilkins 1989). Frio Cave, located near Concan, UvaldeCounty, Texas, houses a large maternity colony of up to1,000,000 T. brasiliensis in midsummer (Betke et al. 2008). Insummer, this colony consists almost exclusively of adult femalesthat emerge predominantly from two main openings to thecave (Reichard et al. 2009). During evening emergences, thelarge numbers and predictable flight trajectories of Brazilianfree-tailed bats at Frio Cave greatly facilitate TIR imaging andcapture without interference with normal activities of the ma-jority of emerging individuals.

Weather

Relative humidity (RH) and Ta were recorded at 10-min in-tervals in a shaded location outside the mouth of the cave(iButton Hygrochron DS1923, Maxim Integrated Products,Sunnyvale, CA), adjacent to where TIR images were recorded.During TIR imaging, Ta ranged between !21" and !37.5"Cunder natural conditions (Table 1). The location for TIR im-aging was naturally sheltered from prevailing winds, but re-cordings were suspended during rain or severe weather to min-imize effects of these variables on convective flux parametersand to avoid damage to equipment.

Internal (Rectal) Temperature

We captured bats with a 0.5-m-diameter hoop net along twoflight trajectories in front of the cave as they emerged near duskor returned from foraging ( ). Bats’ Tr was recorded withN p 60

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Temperature and Heat Transfer in Flying Free-Tailed Bats 887

Table 1: Environmental conditions during thermal infrared imaging and flightspeeds of Brazilian free-tailed bats recorded during emergence and return flightsfrom Frio Cave

Emergence Return

Ambient temperature ("C) 29.6 # 4.4 (21.0–34.3) 25.2 # 2.0 (22.8–30.0)Relative humidity (%) 34.8 # 9.7 (22.5–50.0) 69.5 # 16.9 (42.1–87.5)Flight speed (m s!1) 5.95 # 1.13 (4.23–8.76) 7.12 # 1.87 (4.05–10.69)

Note. Values are reported as means # SD, with range in parentheses.

a lubricated 2-mm-diameter quick-reading cloacal thermom-eter (Avinet, Dryden, NY) inserted 1 cm into the rectum im-mediately upon capture. The Tr was recorded after the ther-mometer had stabilized, usually within 15 s, but never morethan 30 s, of capture. Thick cotton gloves were worn to min-imize heat transfer between the handler and the bat. Once Tr

was recorded, sex, age, and reproductive condition were re-corded for each captured bat before it was released. Bats inthese large colonies emerge in a more or less linear fashionfrom the cave. Once evening emergence is underway, it is rarethat bats return to the cave against the large volume of dis-persing individuals. Moreover, large colony sizes make it highlyunlikely that a released bat would subsequently fly through thefield of view of the TIR camera. The Tr was recorded duringthe same periods as TIR imaging (below), but with the specificobjective of measuring Ts without interfering with the bats’typical behavior, we did not measure Tr and Ts on the sameindividuals. All protocols followed guidelines approved by theAmerican Society of Mammalogists (Gannon et al. 2007) andBoston University’s Institutional Animal Care and UseCommittee.

Surface Temperatures

We used calibrated Merlin Mid TIR cameras (hereafter, theMerlin; Indigo Systems, Santa Barbara, CA) to collect TIR im-ages near cave openings. The Merlin uses ThermaCAM Rdacdata acquisition software (FLIR Systems, Portland, OR) to re-cord digital files ( pixels) for up to 5 h continuously320 # 256at 60 frames per second (fps). The Merlin was configured witha 22" (25-mm) or a 5.5" (100-mm) lens with focal plane es-tablished before the onset of bat activity: 2–3 m with the 22"lens and 7–9 m with the 5.5" lens. Thus, all bats analyzed inthis study were !9 m from the camera lens. The Merlin wascalibrated by the manufacturer for distances and temperaturesappropriate for this study: 0.018"C resolution and #2"C ac-curacy from 0" to 350"C. The close focal plane meant thatabsorption of radiation by atmospheric moisture did not sig-nificantly affect Ts measurements. Evening emergence activitywas recorded during flights from the cave between dusk and2200 hours. Returning flights were recorded during two peri-ods: 2300 to 0100 hours and again from 0500 hours to sunrise(typically about 0700 hours). The large number of bats emerg-ing or returning during imaging periods meant that occasion-ally bats passed through the focal plane with a suitable ori-entation to the camera with wings extended and the ventral

surface facing the camera (Fig. 1). Although Brazilian free-tailedbats may emerge before sunset, depending on weather andforaging conditions (Reichard et al. 2009), we recorded TIRimages between dusk and dawn to minimize incident solarradiation affecting Ts measurements.

The TIR images were viewed and analyzed with ThermaCAMRview (FLIR Systems). For each bat in proper orientation andfocus, the “lasso” tool was used to designate four regions ofinterest: head, body, tail membrane, and wings (consisting ofboth left and right wings). We excluded the edges between thebat images and background from the regions of interest becausethese regions may not depict accurate Ts due to the curvatureof the subject relative to the camera lens (McCafferty et al.1998) and averaged values for pixels that included both subjectand background. Emissivity was set at for skin and! p 0.98pelage (Monteith and Unsworth 1990). We recorded mean Ts

for 209 bats (156 emerging and 53 returning).

Surface Areas and Characteristic Dimensions

Fifty bats were captured and digitally photographed on a flatsurface with one wing extended (Fig. 2). For scale, a penny(diameter p 1.89 cm) was included on the same plane as thebat wing in each photograph. Average surface areas (SAs) forthe wings and tail membrane were estimated by counting thenumber of pixels in these regions and converting to squaremeters with ImageJ processing and analysis software (ver. 1.42q,National Institutes of Health). The SA measurement from asingle wing was multiplied by 4 to estimate the total area(SAwing) for the ventral and dorsal surfaces of two wings. Like-wise, SAtail was twice the area of the tail membrane measuredin the photograph. SAhead was estimated as the lateral area ofa cone with height from the tip of the nose to the shouldergirdle and base diameter equal to the cranial width (Fig. 2).SAbody was estimated as the lateral area of a truncated cone withbase diameters equal to the lateral girth at the shoulders andwaist (Fig. 2). Mean SA for each region was assumed to be thesame for photographed and TIR-imaged bats (Table 2). Theseestimates were used to calculate total convective and radiativeheat transfer.

Convective heat transfer depends on the shape and size ofthe body as well as the direction and velocity of airflow acrossthe surface (Gates 1980). The characteristic dimension (x) foreach region was estimated as the length along the direction ofairflow: xwing was the distance from the base of the thumb tothe trailing edge of the wing at the fifth digit; xtail was the

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888 J. D. Reichard, S. R. Fellows, A. J. Frank, and T. H. Kunz

Figure 1. Thermal infrared (TIR) image representing surface temperatures of a Brazilian free-tailed bat emerging from Frio Cave against thenight sky, recorded with a Merlin Mid TIR camera running FLIR software at 60 fps ( -pixel array). See “Analytic Methods” for320 # 256additional details.

distance from the base of the tail to the distal edge of the tailmembrane. The exposed surfaces of the head and body werealso treated as plates because airflow was parallel to the medialaxis of the body (Ward et al. 1999). Thus, xhead and xbody surfaceswere the length from the tip of the nose to the shoulder girdleand from shoulder girdle to base of the tail, respectively (Fig.2).

Flight Speed

We estimated flight speeds for two flight trajectories (emerging[ ] and returning [ ] bats) between 2 and 10 mn p 30 n p 30in front of the cave opening. We oriented the Merlin perpen-dicular to the bats’ flight paths with a 22" lens and collecteddata at 60 fps for 25 min for each trajectory. Two padded poleswere placed within the field of view of the flying bats to providescale for distance measurements. The distance between refer-ence poles was 6.7 m during emergence and, because the tra-jectories of descending bats were more erratic, 2.5 m duringreturn flights.

Individual bats passing along the same plane as the referencepoles were manually tracked through consecutive frames withThermaCAM RView, creating a nonlinear path on the digitalimage. The time span for each trajectory was determined fromtime stamps associated with the thermal images. The resultingimages were exported to ImageJ, where scale was determinedfrom known lengths and distances between reference poles inthe fields of view and used to convert length in pixels to distance(m). Velocity was estimated as (m s!1).V p path distance/time

This method assumes two-dimensional trajectories, with batsflying parallel to the camera’s focal plane for the duration ofthe tracked path. However, because bats inevitably move inthree dimensions, our estimates of flight speed likely under-estimate the actual emergence and return speeds.

Sensible Heat Transfer in Flight

Sensible heat transfer (Gs; W m!2) from the surfaces of batsduring flight consists of only radiative and convective vectorsbecause conductive heat transfer between the outer surface ofan animal and the free atmosphere is negligible (Monteith andUnsworth 1990). Thus, our model for sensible heat loss in flyingBrazilian free-tailed bats was similar to one adapted for musk-oxen (Monteith and Unsworth 1990; Munn et al. 2009):

G p C " L, (1)s

where C is convective heat transfer (W m!2) and L is long-wave radiative heat transfer (W m!2; Monteith and Unsworth1990). Values of C, L, and Gs were estimated for each of fourbody regions: head, body, tail membrane, and wings.

Convective heat transfer occurs predominantly by forcedconvection as bats propel themselves through the air. Althoughturbulence can affect convective heat transfer, we assumed lam-inar flow over all surfaces of this small-bodied animal (Wardet al. 2004). We calculated convective heat transfer for staticwing positions and thus did not account for increased con-

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Temperature and Heat Transfer in Flying Free-Tailed Bats 889

Figure 2. Digital photograph of a Brazilian free-tailed bat with left wing extended. Surface area of the wing was determined by converting thenumber of pixels in the outlined area to square meters. Other dimensions were measured linearly via pixel conversion, and then surface areaswere calculated according to the approximate shape of the region: the head as a cone, the body as a truncated cone, and the tail membraneas a rectangular plate.

vective transfer due to flapping motion of the wings. We es-timated C according to Holman (1986),

C p h # (T ! T ), (2)s a

where h is the convective heat transfer coefficient (W m!2 "C!1).For the head and wings,

kh p Nu # , (3)

x

where k is the thermal conductivity of air (0.02624 W m!1 K!1

at 300 K; Holman 1986) and x is the length of the body regionin the direction of air flow (m). Nu is the mean Nusselt number,

0.5 0.333Nu p 0.664 # Re # Pr , (4)

where Pr is the dimensionless Prandtl number (0.708 for airat 300 K; Holman 1986; Ward et al. 1999). Re is the Reynoldsnumber and is proportional to the wind speed and character-istic dimension of the surface:

xRe p V # , (5)

v

where V is the air velocity (m s!1), estimated as equal to theflight speed (above), and is the kinematic viscosity of airv( m2 s!1 at 300 K; Holman 1986; Ward et al. 1999).!615.69 # 10

The mean value of h decreases with an increasing thermalboundary layer from the leading to the trailing edge of a plate(Gates 1980). For example, the thermal boundary layer of thebody will be greater because of the effect of the head on airflowtoward the body. Thus, we modified h for the body and thetail membrane according to method 2 of Ward et al. (1999):hbody " head and htail " body " head were calculated as above (eq. [3])

with x equal to the combined lengths of the region and theupwind regions (xbody " head and xtail " body " head). Then, and"hbody

were calculated to account for the lengths of the upwind"h tail

body regions (Ward et al. 1999):

"h p (h # x )body body " head body " head

! (h # x ), (6a)head head

"h p (h # x )tail body " head " tail body " head " tail

! (h # x ). (6b)body " head body " head

Subsequently, and were substituted for h in equation" "h hbody tail

(2) for these regions.Long-wave radiative heat transfer was estimated from

4 4L p j # ! # ! # (T ! T ), (7)bat sky s sink

where j is the Stefan-Boltzmann constant ( W m!2!85 # 10K!4), !bat is the emissivity of the bat (0.98; Monteith and Uns-worth 1990), and !sky is the emissivity of the sky (Swinbank1963),

!5 2.148! p 0.398 # 10 # (T " 273.15) . (8)sky a

Radiative flux occurs between a flying bat and radiative sinksof the ground or sky at radiative temperature Tsink. Thus, wecalculated L for two different Tsink: Lair, where re-T p Tsink a

corded near ground level, and Lsky, where Tsink was estimatedfrom Ta according to Gates (1980):

T p T ! 20.4 " T # 0.22. (9)sky a a

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890 J. D. Reichard, S. R. Fellows, A. J. Frank, and T. H. Kunz

Table 2: Surface areas (SA) and coefficients of convection (hc) for different body regions for emerging andreturning Brazilian free-tailed bats

Convection Coefficient hc (W m!2 "C!1)

Body Region SA # SD (m2) % Total SA Emerging Returning

Head .0005 # .0001 2.5 59.93 65.56Body .003 # .0003 14.8 38.16 41.75Tail membrane .0008 # .0002 3.9 33.20 36.31Wings .016 # .002 78.8 44.27 48.33

Analytic Methods

Statistical analyses were performed in JMP 5.0.1 (SAS Institute,Cary, NC) and R 2.9.0 (http://www.r-project.org). Unless oth-erwise indicated, values are reported as mean # SD. Data weretested for normality with Shapiro-Wilk tests, . Non-a p 0.05normal data were tested with one-way Wilcoxon rank sum andKendall’s tau-b (t-b) rank sum tests for nonparametric com-parison and correlation, respectively. To test the effect of en-vironmental conditions and activity on Tr, we used a multi-variable model with Tr as the dependent variable and Ta, RH,and flight trajectory (emerging or returning) as independentvariables.

Results

Internal (Rectal) Temperature

Mean Tr declined from during emergence flights36.8 # 0.96Cto during return flights (Wilcoxon test:34.4 # 1.20C W p

, , ; Fig. 3). However, was sig-7,814 P ! 0.001 N p 193 T ! Tr a

nificantly lower during emergence than during return flights:mean and , respectively (Wil-T ! T p 5.4 # 2.01 9.0 # 2.27Cr a

coxon test: , , ; Fig. 3). Mean Tr wasW p 922 P ! 0.001 N p 193correlated with Ta, RH, and flight trajectory, with trajectoryexplaining most of the variation in Tr (Table 3).

Surface Temperatures

For each of the four body regions, Ts was positively correlatedwith Ta for all bats ( ) and for returning bats (Kendall’sN p 209t-b test: , ). The Ts of the tail membrane onP ! 0.001 n p 53emerging bats was not significantly correlated with Ta (Kendall’st-b test: , ), while those of the head, body,P p 0.60 n p 156and wings were positively correlated with Ta ( ). Sim-P ! 0.001ilarly, was negatively correlated with Ta for all regionsT ! Ts a

for all bats ( ) and for emerging bats alone ( ,N p 209 n p 156Kendall’s t-b test: ; Fig. 4). For returning bats aloneP ! 0.001( ), was negatively correlated with Ta for headn p 53 T ! Ts a

and body regions (Kendall’s t-b test: ), but wasP ! 0.05 T ! Ts a

positively correlated with Ta for the wings and tail membrane(Kendall’s t-b test: ).P ! 0.01

Flight Speed and Sensible Heat Transfer

Sixty flight trajectories of bats were tracked for 1.9–9.6 m. Meanflight speeds for emerging ( ) and returning ( )n p 30 n p 30

bats were and m s!1, respectively (Table5.95 # 1.13 7.12 # 1.871). The Vreturn was 1.2 m s!1 faster than the Vemerge (one-wayANOVA: , , ). Area-specific radia-t p !2.19 P p 0.03 df p 1, 2tive or convective heat transfer (W m!2) for the head, body,or tail membrane did not differ between emerging and return-ing bats (Wilcoxon test: ). However, wings of returningP 1 0.05bats had significantly different Lair (Wilcoxon test: ),P p 0.01Lsky (Wilcoxon test: ), and C (Wilcoxon test:P p 0.01 P p

), compared to those of emerging bats (Table 4). Area-0.003specific rates of heat transfer differed among body regions forboth emerging and returning bats (Wilcoxon test: ,P ! 0.001

); Lair and C each indicated heat loss from the body anddf p 3head but sensible heat gain to the wings and tail membranefor both emerging and returning bats (Table 4). Radiative heatloss to the night sky (Lsky) was recorded from all body regions(Table 4). For both emerging and returning bats, significantdifferences were evident when Lair, Lsky, and C were compared(Wilcoxon test: , ; Table 4).P ! 0.001 df p 2

Overall, differed among body regions during bothL # SAair

evening emergence and return (Wilcoxon test: ,P ! 0.001); it was significantly more negative for wings than fordf p 3

the head, body, and tail membrane (Tukey-Kramer HSD:; Fig. 5A). Convective transfer was positivea p 0.05 C # SA

from the head and body but negative from the tail membraneand wings, with significant differences among body regionsduring both emergence and return flights (Wilcoxon test: P !

, ; Fig. 5B). Radiative heat also differed0.001 df p 3 L # SAsky

among body regions for both emerging and returning bats(Wilcoxon test: , ; Fig. 5C). The wings exhibitedP ! 0.001 df p 3significantly greater than other body regions (Tukey-L # SAsky

Kramer HSD: ; Fig. 5C).a p 0.05Total sensible heat transfer to air became(L " C) # SAair

significantly more negative for returning bats than for emergingbats ( vs. W [mean # SEM];!1.032 # 0.088 !0.912 # 0.148Wilcoxon test: , ; Fig. 6). Total sensible heatP p 0.016 df p 1loss to the night sky was significantly greater(L " C) # SAsky

for emerging bats than for returning bats ( vs.0.304 # 0.145W; Wilcoxon test: , ; Fig. 6).0.172 # 0.089 P p 0.015 df p 1

For both flight trajectories, was greater than(L " C) # SAsky

(Wilcoxon test: , ; Fig. 6).(L " C) # SA P ! 0.001 df p 1air

Discussion

Brazilian free-tailed bats (Tadarida brasiliensis) experience a netheat loss between emergence from their daytime roost at dusk

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Temperature and Heat Transfer in Flying Free-Tailed Bats 891

Figure 3. A, Variation in rectal body temperature (Tr; "C) of emerging (top) and returning (bottom) Brazilian free-tailed bats. B, Differencebetween Tr and ambient temperature (Ta; "C) of emerging (top) and returning (bottom) Brazilian free-tailed bats.

Table 3: Multiple linear regression estimates

Parameter Estimate SE P Cumulative R2

Ta .26 .05 !.001 .035RH .02 .01 .003 .021Trajectory 1.63 .27 !.001 .494Intercept 26.26 1.84Model !.001 .549

Note. Rectal temperature of the Brazilian free-tailed bat is thedependent variable, and the independent variables are ambienttemperature (Ta), relative humidity (RH), and flight trajectory(emerging p 1, returning p 0). , .N p 193 F p 76.753,189

and return after foraging, as indicated by a drop in Tr over thatperiod. The measured decline in Tr correlates with decliningTa over that time interval, although returning bats maintain agreater difference between Tr and Ta than do emerging bats,suggesting a greater contribution of metabolic heat to sustainelevated Tb. Slightly reduced Tb during flight effectively reducessensible heat loss by diminishing the temperature gradient be-tween the bat and the environment, a condition that is con-sistent with heat retention strategies (Henshaw 1970; Bakken1976; Speakman and Racey 1989; Webb et al. 1993). ReducedTb may also reduce evaporative water loss (O’Farrell and Brad-ley 1977) and oxygen demand for animals flying in hypoxicenvironments (Scott et al. 2008). This type of low-oxygen en-vironment would be expected at high altitudes or while flyingat high speeds, two conditions regularly encountered by T. bra-siliensis (Williams et al. 1973; McCracken et al. 2008). Although

increased in our study, there was no significant differ-T ! Tr a

ence in sensible heat loss from the body and head betweenemerging and returning bats. Radiative heat loss to the nightsky is largely balanced by convective heat gain to relatively coolwings. However, the wings and tail membrane became coolerrelative to Ta between emergence from and return to the cave,suggesting that bats may transition rapidly from cooler envi-ronments before passing the camera’s field of view. We expectthat the thin membranes would equilibrate rapidly with tem-perature fluxes and thus cool wings are more likely the resultof evaporative and radiative fluxes.

The effect of Ta on Tb varies, depending on the range of Ta,species, and behavior (O’Farrell and Bradley 1977; Thomas etal. 1991). Lancaster et al. (1997) recorded no significant changein Tb related to elapsed flight time, and others have suggestedthat Tb increases during flight for bats (Thomas and Suthers1972), although both of these studies were conducted withinsmaller ranges of Ta or in laboratory settings that may notaccount for the ecological variables that bats encountered inour study. It is expected that bats lose substantial heat fromthe large surfaces of their wings during flight (Thomas andSuthers 1972; Thomas et al. 1991); however, convective dissi-

pation of heat from Brazilian free-tailed bats may be limitedlargely to the head and body, not the flight membranes. Therelatively high Ts of these regions is consistent with the locationof heat-generating flight muscles in the pectoral and scapularregions of bats (Vaughan 1966) and vital organs that requiremaintenance of euthermic body temperature. In addition tothe much smaller SAs of these regions, evaporative cooling fromthe mouth and nasal cavities or combined heat fluxes from thehairless pinnae can maintain locally low Ts-head. Thus, as a whole,the body accounts for an order-of-magnitude greater sensibleheat loss than the head. Because the wings and tail membraneare consistently cool relative to Ta, on average these surfacesdissipate sensible heat through radiative flux to the night skyand not by convection.

Thermoregulatory strategies of homeothermic endothermsare frequently discussed in terms of maintaining appropriatelylow Tb during strenuous activities such as flight. Speakman etal. (1994) proposed that hyperthermia may limit daytime flightfor bats but concluded that this would be true only for largerspecies. Thus, heat dissipation during active periods may bemore important for animals that inhabit terrestrial boundarylayers buffered from strong convective forces than for nocturnalflying animals. Nocturnal flight, however, exposes animals toeven greater Gs because of high radiative flux to the night sky(Leger and Larochelle 2006), and flight exposes animals to con-

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892 J. D. Reichard, S. R. Fellows, A. J. Frank, and T. H. Kunz

Figure 4. Surface temperature of Brazilian free-tailed bats relative to ambient temperature, ("C), plotted against Ta for the headT ! Ts a

( ), body ( ), wings ( ), and tail membrane ( ). For all body regions of bats, was significantly correlatedN p 209 N p 209 N p 207 N p 209 T ! Ts a

with Ta (Kendall’s t-b: ).P ! 0.01

tinuous strong convective forces. Activity-related thermogenesismay compensate for thermoregulatory costs of running or hop-ping birds subjected to convective heat transfer (Webster andWeathers 1990; Zerba and Walsberg 1992; Zerba et al. 1999).Although flight is energetically more costly per unit time thanterrestrial forms of locomotion (Thomas and Suthers 1972),the cost of flight for small bats may be even greater becauseof an additional energetic cost associated with maintaining el-evated body temperature. This situation would suggest onlypartial compensation of by-product heat for thermoregulationduring flight in Brazilian free-tailed bats. If demand for ther-moregulatory heat production increases because of a greaterSA-to-volume ratio, smaller bats would be expected to expendrelatively more energy than larger bats during flight. In fact,this pattern is evident from studies of field metabolic rates fora variety of bat species for which flight costs have been mea-sured (reviewed in Speakman and Thomas 2003). In suggestingthat Brazilian free-tailed bats experience net heat loss duringflight, our results are consistent with the hypothesis that hy-perthermia may not be a driving force behind nocturnal be-havior in small-bodied bats (Reeder and Cowles 1951; Car-penter 1986; Thomas et al. 1991; Speakman et al. 1994).

Allometric relationships predict that metabolic cost of flightfor a 12-g bat is ca. 1.7 W (Speakman and Thomas 2003). Thus,assuming that flight muscle efficiency is between 4% and 20%,a Brazilian free-tailed bat would generate 1.3–1.6 W of heat

during flight (Speakman and Thomas 2003). Because Gs in thisstudy is less than the estimated thermogenesis, latent heat ex-change may be responsible for dissipating the remainder. Evap-orative cooling in the lungs may be a high source of heat loss,but respiratory rate is expected to be coupled to wing-flappingrates, limiting its flexibility for thermoregulatory purposes(Suthers et al. 1972). Moreover, bats are expected to dissipateonly about 10%–15% of heat through respiratory cooling(Thomas and Suthers 1972; Carpenter 1986), leaving more than1.2 W of heat to dissipate to avoid hyperthermia, which is ca.four times the estimated sensible heat loss to the night sky. Ourestimate of convective heat transfer during flight in Brazilianfree-tailed bats is based on a conservative estimate of flightspeeds. More accurate estimates of flight speed using three-dimensional reconstruction (Wu et al. 2009) would be expectedto increase estimates of convective transfer from the body andhead. Because the wings and tail membrane, on average, arecooler than air during powered flight, we do not expect thatturbulent flow, flapping, or wind speed would significantly in-crease heat loss from these surfaces. On average, the wings ofBrazilian free-tailed bats lose W via radiative flux0.85 # 0.12to the night sky. Thus, there is marked radiative heat loss duringnocturnal flights (Leger and Larochelle 2006). Cool wings alsoprovide a temperature gradient for conductive and convectiveheat transfer through blood circulation between the warm bodyand the cool wings. In addition to radiative loss to the sky,

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Temperature and Heat Transfer in Flying Free-Tailed Bats 893

Table 4: Mean (#SEM) heat transfer (W m!2) by radiative flux to Ta (Lair), byradiative flux to Tsky (Lsky), and by convective flux (C) for each of four bodyregions of emerging and returning Brazilian free-tailed bats

Lair Lsky C

Emerging (n p 156):Head .29 # .82Aa 60.01 # .78Ab 8.61 # 10.53Aa

Body 4.03 # .74Ba 63.75 # .71Bb 35.91 # 6.18Ac

Tail membrane !5.57 # 1.04Ca 54.15 # 1.02Cb !.031 # .006Bc

Wings !6.09 # .71Ca 53.63 # .69Cb !57.03 # 6.55Bc

Returning (n p 53):Head 3.88 # .27Ee 62.93 # .27Ef 59.22 # 4.20Ef

Body 6.27 # .41Fe 65.32 # .40Ff 60.71 # 3.99Ef

Tail membrane !6.12 # .51Ge 52.92 # .54Gf !.042 # .004Fg

Wings !6.19 # .38Ge 52.85 # .42Gf !71.20 # 4.53Gg

Note. Flux rates differed among body regions; values labeled with different capital letters withincolumns are significantly different (Tukey-Kramer HSD: ). Flux rates also differed among fluxa p 0.05types within body regions; values labeled with different lowercase letters within rows are significantlydifferent (Tukey-Kramer HSD: ).a p 0.05

Figure 5. Mean heat transfer (W) by radiative fluxes (A) andL # SAair

(B) and convective flux (C) in Brazilian free-tailedL # SA C # SAsky

bats. Circles represent means, and error bars represent 1 SD. Withinbody regions, rates did not differ between emerging and returning bats(Wilcoxon test: ), except for borderline significance for theP 1 0.1wings (Wilcoxon test: ).P ! 0.1

thermal windows on the flanks of the body and pelvic regionmay experience locally high rates of heat loss (Reichard et al.2010).

We measured instantaneous Gs as bats emerged from andreturned to the cave, but we were unable to measure Ts duringall moments of their foraging bouts. Although a rough estimateof heat loss throughout the foraging bout could be extrapolatedby assuming that fluxes measured at ground level remain con-stant while the bat is away from the cave, such estimates arelikely to be misleading. Brazilian free-tailed bats commute andforage at high altitudes (McCracken et al. 2008), and Ta at1,000 m can be 16"C less than that at ground level, dependingon humidity (Moore 1956). Heat transfer rates would varygreatly, depending on Ta and flight speeds at different altitudes.It is also possible that Brazilian free-tailed bats glide or soaron wind currents at high altitude, thus reducing metabolic heatproduction. However, Ruck (1946) noted that smaller bats wereless likely to glide than larger bats, even in warm weather (seeThomson et al. 2002). It is possible that relatively cool wingtemperatures measured at ground level reflect rapid transitionbetween different Ta regimes such that bats are not at thermalequilibrium with the surrounding air. Still, the very thin wingmembranes and the high rate of convective heat transfer shouldmean Ts-wing would equilibrate rapidly with Ta. Also, we mea-sured relatively low Ts-wing on returning and emerging bats, thelatter having just emerged from subterranean airspace where,between dusk and dawn, Ta inside the outer chambers of thecave is similar to outside Ta.

Surface temperatures of wings, on average, were below Ta.Such regional hypothermia has been demonstrated to helpmaintain elevated Tb by reducing heat loss from appendagesexposed to cold (Gordon 1968; Schmidt-Nielsen 1997; Butler2004). Although sweat glands are absent from bat wings (Crow-ley and Hall 1994), transcutaneous water loss may be significantfor animals in arid habitats (Munoz-Garcia et al. 2008). Weexpect that wings were cool because of evaporative cooling as

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894 J. D. Reichard, S. R. Fellows, A. J. Frank, and T. H. Kunz

Figure 6. Total sensible heat loss (W): and(L " C) # SA (L "air sky

for emerging (white circles; ) and returning (grayC) # SA n p 156circles; ) Brazilian free-tailed bats. Circles represent means, andn p 53bars represent 1 SD.

well as radiative heat loss. The recorded from wingsL " Csky

of Brazilian free-tailed bats in flight was ca. !7.22 W m!2.Thus, using the latent heat of vaporization (2,430 J g!1 H2Oat 30"C), we estimated that water loss from wing surfaces of0.003 g H2O m!2 s!1 would be needed to maintain cool wings.Preliminary analysis of water loss from wing surfaces using aleaf respirometry chamber (LI6400 LI-COR Biosciences, Lin-coln, NE) revealed mean water loss from Brazilian free-tailedbat wings to be 0.004 g H2O m!2 s!1 (J. D. Reichard, unpub-lished data). Unfortunately, this rate was below the respiro-meter’s sensitivity, and thus measurements must be repeatedto confirm their accuracy. Moreover, this rate of water loss wasrecorded for bats captured during emergence and return flightsand may not be representative of water loss throughout thefeeding period. The air at high altitudes is likely to be signif-icantly cooler than and to differ in humidity from ground-levelair. Moreover, even at ground level, RH often increases as thenight progress. Thus, the potential for evaporative cooling canbe expected to vary with altitude and time. Notwithstandingthese caveats, low rates of water loss estimated for heat balanceand from the respirometer data suggest that this species maybe adapted for low evaporative water loss in arid regions in thesouthwestern United States (Kunz et al. 1995). This preliminaryanalysis of water flux also does not identify the source of waterbeing measured. It is entirely possible that wings become moistfrom the surrounding air by condensation and thus that wateralready on the surface of the wings when we attached the leafrespirometry chamber would not be distinguished from trans-cutaneous water loss. RH is high inside Frio Cave, and watervapor may also condense on wings as bats circle inside the cavebefore emerging. Thus, passing from this higher-humidity en-vironment could lead to evaporation of moisture from thewings as the bats leave the cave. Additional studies are needed

to identify the extent and source of evaporative cooling fromthe wings during flight in T. brasiliensis.

Many cave roosts of Brazilian free-tailed bats exceed 35"Cduring midsummer. Bats are often seen flying within the roostthroughout the day, presumably to seek temporary refuge fromthe warm temperatures in roosting clusters (Herreid 1963). TIRimaging of roosting Brazilian free-tailed bats revealed that clus-ters are more diffuse at midnight and in the early morning,after bats return from foraging (A. J. Frank, unpublished data).At rest, bats lose heat through the same mechanisms as duringflight, with additional conductive heat loss to the cave walls(Herreid 1963). However, after the bats enter the warm andhumid cave, it is likely that evaporative, convective, and ra-diative heat loss decrease, and it may take some time for batsto cool down after prolonged flights. Roosting in diffuse clustershas greater potential for convective cooling and lower thermalmass than occupying dense clusters, thus expediting postflightcooling (Canals et al. 1997) and reducing heat gain from otherbats in the roost (Licht and Leitner 1967). After sunrise, thedensity of roosting bat clusters increases, presumably to reduceheat loss after residual flight-related heat has been dissipated(A. J. Frank, unpublished data).

We could not determine the sex, age, or reproductive con-ditions of bats from TIR images. Thus, we did not test fortemperature differences among these cohorts. Although onecould expect greater flight-related heat production from a preg-nant bat, there is no strong evidence that predictions of flightcost from body mass are reliable within species (Speakman andThomas 2003). Pregnant bats are expected to select warm roosttemperatures to optimize growth of fetuses (Racey and Swift1981), and temperature preferences of Brazilian free-tailed batshave been studied only in the roost, not in flight (Herreid 1963).Although warm roosts should promote faster growth and de-velopment of pups (Allen et al. 2010), lactating bats may benefitfrom temporary reprieve from high temperatures while for-aging. Krol and Speakman (2003) demonstrated that elevatedTb can hinder milk production in mice, leading to the hy-pothesis that reduced Tb during flight may increase milk pro-duction. A similar study of sensible heat loss examining indi-viduals of known sex, age, and reproductive condition mayreveal significant differences in thermoregulation strategies anddemands among cohorts with different energetic demands.

Most previous studies of the thermoregulatory roles of batwings were conducted on immobilized or roosting bats (Cowles1947; Reeder and Cowles 1951; Kluger and Heath 1970). Ourobservations do not rule out the hypothesis that bats may flushwings with blood as means of dissipating heat to avoid hyper-thermia. However, we suggest that high Tb, which might elicitthis response during flight, is unlikely under natural conditionsobserved in our study. Even when roosting inside a warm cave,flying Brazilian free-tailed bats have lower Tb than individualsroosting directly above them (Herreid 1963). However, the largevariation in estimated rates of heat transfer suggests that wingsretain the potential for dissipating or conserving body heat.Moreover, Tb maintained above Ta means that bats can dissipateheat through sensible fluxes and reduce requirements of evap-

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Temperature and Heat Transfer in Flying Free-Tailed Bats 895

orative cooling. Radiative heat loss differs significantly betweenloss to the night sky and loss to ambient radiative sinks. Al-though our estimates of Lsky are consistent with estimates ofby-product heat production, it may not be realistic to assumethat all surfaces of the bat radiate to the night sky. Because theventral surfaces of flying bats are more often facing the ground,radiative exchange would be determined by the difference be-tween the temperatures of the bat and the Earth’s surface. Con-vective heat exchange within the body of the bat (i.e., betweenthe warm body and the cool wings), through blood circulation,deserves attention to better identify patterns of heat transferfrom the thermogenic flight muscles. Vasoconstriction and va-sodilation utilized by captive bats under heat stress may beemployed during flight to regulate convective transfer betweenthe body and wings. Blood may also be directed to or shuntedfrom hot spots on the body to create locally high rates of heatloss (Klir and Heath 1992; Mauck et al. 2003). The uniquenetwork of blood vessels, or so-called radiator, in the proximalwing membrane and hairless flanks of Brazilian free-tailed batsand other members of the family Molossidae offers a possiblemechanism for adaptable heat dissipation (Reichard et al.2010), the significance of which may be masked by averagingTs for larger body regions in this study. Thus, rapid dissipationof heat through this radiator may help to limit blood flow tothe distal wing membranes and potentially optimize the inertialpower requirements of flapping flight (Swartz 1998).

Because Tr decreases from the time Brazilian free-tailed batsleave the cave to when they return, there is a net loss of heatfrom the body. Thus, depressed Tb during flight may be anadaptation for a species that is morphologically specialized forhigh speed and endurance (Vaughan 1966). Alternatively, heatconservation may be more important than heat dissipation inthe Ta range naturally encountered by this species. Brazilianfree-tailed bats often leave the cave before sunset, when Ta andincident radiation can limit radiative and convective heat loss(Speakman et al. 1994). How heat is balanced under theseconditions remains an open question. The role of bat wingsfor sensible heat loss during flight may have been overestimatedfrom studies of immobilized wings and artificial heat sources.Although extended flight membranes result in a nearly fivefoldincrease in the SA of the bat, it is apparent that the wings reflectair temperature more than they do body temperature and thusare not well suited for dissipation of heat by convection. Wingsthat are cooler than air may experience potentially high ratesof radiative heat loss to the sky, but this may be counterbalancedby convective warming. Thus, the patterns and control of heatexchange between the warm body and the cool wings duringflight deserve further attention. This study offers the first anal-ysis of surface temperatures and heat transfer of free-rangingbats flying in their natural environment.

Acknowledgments

We are grateful to A. Krochmal, N. Phillips, K. Warkentin, andtwo anonymous reviewers for valuable comments on this man-

uscript. We thank landowners and stewards for access to FrioCave and the surrounding area: W. Cofer, I. Marbach, and B.Walker. For field, lab, statistical, and technical assistance, wethank C. Casey, N. Fuller, L. Gonzalez, N. Hristov, D. McCabe,M. Moore, A. Munoz-Garcia, and B. Sabol. We are also gratefulto N. Phillips for use of leaf respirometry equipment. Thisresearch was funded by the National Science Foundation (grantEIA-ITR 0326483 to T. H. K., M. Betke, G. F. McCracken, J.K. Westbrook, and P. Morton). S.R.F. and A.J.F. were fundedby grants from Boston University’s Undergraduate ResearchOpportunities Program.

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