Heart mass and the maximum cardiac output of birds and mammals: implications for estimating the maximum aerobic power input of flying animals
Open accessAbstract
Empirical studies of cardiovascular variables suggest that relative heart muscle mass (relative M h ) is a good indicator of the degree of adaptive specialization for prolonged locomotor activities, for both birds and mammals. Reasonable predictions for the maximum oxygen consumption of birds during flight can be obtained by assuming that avian heart muscle has the same maximum physiological and biomechanical performance as that of terrestrial mammals. Thus, data on M h can be used to provide quantitative estimates for the maximum aerobic power input (aerobic P i, max ) available to animals during intense levels of locomotor activity. The maximum cardiac output of birds and mammals is calculated to scale with respect to M h (g) as 213 M h 0.88±0.04 (ml min −1 ), while aerobic P i,max is estimated to scale approximately as 11 M h 0.88±0.09 (W). In general, estimated inter–species aerobic P i,max , based on M h for all bird species (excluding hummingbirds), is calculated to scale with respect to body mass ( M b in kg) as 81 M b 0.82±0.11 (W). Comparison of family means for M h indicate that there is considerable diversity in aerobic capacity among birds and mammals, for example, among the medium to large species of birds the Tinamidae have the smallest relative M h (0.25 %) while the Otidae have unusually large relative M h (1.6 %). Hummingbirds have extremely large relative M h (2.28 %), but exhibit significant sexual dimorphism in their scaling of M h and flight muscle mass, so that when considering hummingbird flight performance it may be useful to control for sexual differences in morphology. The estimated scaling of aerobic P i,max (based on M h and M b in g) for male and female hummingbirds is 0.51 M b 0.83 ±0.07 and 0.44 M b 0.85± 0.11 (W), respectively. Locomotory muscles are dynamic structures and it might be anticipated that where additional energetic ‘costs’ occur seasonally (e.g. due to migratory fattening or the development of large secondary sexual characteristics) then the relevant cardiac and locomotor musculature might also be regulated seasonally. This is an important consideration, both due to the intrinsic interest of studying muscular adaptation to changes in energy demand, but also as a confounding variable in the practical use of heart rate to estimate the energetics of animals. Haemoglobin concentration (or haematocrit) may also be a confounding variable. Thus, it is concluded that data on the cardiovascular and flight muscle morphology of animals provides essential information regarding the behavioural, ecological and physiological significance of the flight performance of animals.
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The relative mechanical and metabolic capacities of flying animals tend to decline with increasing size.
“the relative mechanical and metabolic capacities of flying animals tend to decline with increasing size”
From The physiology and biomechanics of avian flight at high altitude (2006) · cites this paper as Bishop, 1997
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“One method proposed by Bishop (1997) allows the use of HR to estimate the rate of oxygen consumption ð _VO2Þ during flight from measured HR and estimates of stroke volume (V2) and oxygen extraction from the blood ðCaO2KC VO2Þ, where CaO2 is oxygen concentration in the arterial blood and C VO2is…”
InfluentialCirculatory variables and the flight performance of birds
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“This is now known not to be the case, as a result of work by Baudinette (1978), Taylor et al. (1981), Weibel et al. (1991) and Bishop (1997, 1999), among others.”
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“Our average SV, fH and CO for an average 175 kg dolphin were also lower than those estimated from allometric relationships in terrestrial mammals ranging in size from 0.333 to 446 kg (Bishop, 1997; SV=389 ml beat−1, fH=66 beats min −1, CO=21,856 ml min−1).”
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“Under the assumption that SV increases to its maximum capacity (∼0.03 ml min−1, calculated using eqn 7 of Bishop, 1997; using the heart mass reported for C. gouldii from Bullen et al., 2009), we calculate that arteriovenous difference must increase to a maximum of 26.23 ml O2 dl −1 blood at −2°C.”
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“…to body mass across species (phylogenetic) based on a number of influential allometric analyses that arrive at an exponent of bp 0.96–1.06 (Brody 1945; Stahl 1965; Holt et al. 1968; Prothero 1979; Hoppeler et al. 1984; Bishop 1997; Seymour and Blaylock 2000; Lindstedt and Schaeffer 2002).”
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MethodInfluentialPoint: high altitude is for the birds!
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“The results were striking: during displays, the heart rate of a male Golden-collared Manakin can rise above 1,200 beats per minute (Barske et al. 2011), a rate that has been previously recorded only in small hummingbirds during flight (Bishop 1997).”
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Scaling of body frontal area and body width in birds
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“Indeed, internal organs potentially scale geometrically with mb, for example, heart mass scales almost with geometric similarity (0.93) against mb (Bishop, 1997).”
BackgroundInfluentialAvian cardiomyocyte architecture and what it reveals about the evolution of the vertebrate heart
Shiels, H. (2022) · Philosophical Transactions of the Royal Society of London. Biological Sciences · doi:10.1098/rstb.2021.0332 · Cited by 17
“Thus, within the two vertebrate groups demonstrating whole body endothermy, on average the bird heart is capable of equal or greater output than the mammalian heart, a feature which may be necessary to support their elevated body temperature (average bird 41°C, average placental mammal 37°C [22]) and the energetic cos…”
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“…birds (Nespolo et al., 2018) and, for example, Golden-collared manakins have some 20% greater cardiac mass and left ventricular wall thickness than similar-sized zebra finches (Barske et al., 2019) mammals also have a substantially varied, heart weight (Bishop, 1997; Seymour & Blaylock, 2000).”
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“Heart size/mass has often been used as a predictor of cardiac output and ultimately VO2,max (Bishop, 1997; Richardson et al., 1999a; Chen et al., 2001; Hussain et al., 2001).”
BackgroundInfluentialMigratory lifestyle carries no added overall energy cost in a partial migratory songbird
Linek, N., Yanco, S. W., Volkmer, T., Zúñiga, D., Wikelski, M. C., & Partecke, J. (2024) · Nature Ecology & Evolution · doi:10.1038/s41559-024-02545-y · Cited by 18 · see citing works
“Differences in heart size between strategies (which would result in difference in stroke volume 33,34 and haematocrit values 35 ) could, in principle, increase during the pre-migration phase, potentially decoupling f H from oxygen consumption and, thus, energy expenditure.”
Myrka, A. M., & Welch, K. C. (2017) · Comparative Biochemistry and Physiology Part B Biochemistry and Molecular Biology · doi:10.1016/j.cbpb.2017.10.003 · Cited by 12 · see citing works
Snelling, E. P., Taggart, D., Maloney, S., Farrell, A., Leigh, C., Waterhouse, L., Williams, R., & Seymour, R. (2015) · Journal of Experimental Biology · doi:10.1242/jeb.119453 · Cited by 15
“…mammalian species shows that heart mass increases with body mass more-or-less isometrically, with an exponent (b) between 0.96 and 1.06 (Bishop, 1997; Brody, 1945; Holt et al., 1968; Hoppeler et al., 1984; Lindstedt and Schaeffer, 2002; Prothero, 1979; Seymour and Blaylock, 2000;…”
BackgroundInfluentialVertebrate blood cell volume increases with temperature: implications for aerobic activity
Gillooly, J., & Zenil-Ferguson, R. (2014) · PeerJ · doi:10.7717/peerj.346 · Cited by 15 · see citing works
“Cardiac output is a function of both heart rate and stroke volume, but it is known to increase with both temperature and activity level (Bishop, 1997; Farrell, 1991; Vinogradov & Anatskaya, 2006; Hillman, Hancock & Hedrick, 2013).”
BackgroundUncinate Process Length in Birds Scales with Resting Metabolic Rate
Tickle, P. G., Nudds, R. L., & Codd, J. R. (2009) · PLoS ONE · doi:10.1371/journal.pone.0005667 · Cited by 17 · see citing works
“The relationship between RMR and flight MR, however, has not been extensively examined in birds, with the exception of some attempts to estimate the relationship [40,41].”
BackgroundHigh heart rates in hunting harbour porpoises
McDonald, B. I., Elmegaard, S. L., Johnson, M. P., Wiśniewska, D. M., Rojano‐Doñate, L., Galatius, A., Siebert, U., Teilmann, J., & Madsen, P. T. (2021) · Proceedings of the Royal Society B Biological Sciences · doi:10.1098/rspb.2021.1596 · Cited by 19 · see citing works
Maina, J. N., & Jimoh, S. A. (2013) · Biology Open · doi:10.1242/bio.20133608 · Cited by 14 · see citing works
“To support an energetic lifestyle, large hearts (Hartman, 1955) with large cardiac outputs (Grubb, 1983; Bishop, 1997; Seymour and Blaylock, 2000) supply tissues with oxygen.”
BackgroundThe scaling of maximum and basal metabolic rates of mammals and birds
Barbosa, L. A., Garcia, G. J. M., & da Silva, J. K. L. (2004) · Physica A Statistical Mechanics and its Applications · doi:10.1016/j.physa.2005.06.050 · Cited by 14 · see citing works
Bishop, C. M. (2015) · Elsevier eBooks · doi:10.1016/b978-0-12-407160-5.00039-7 · Cited by 13 · see citing works
Self-citationBrown, J. M., Bouten, W., Camphuysen, C. J., Nolet, B. A., & Shamoun-Baranes, J. Z. (2022) · Functional Ecology · doi:10.1111/1365-2435.14055 · Cited by 16 · see citing works
Bat heart mass: correlation with foraging niche and roost preference
Bullen, R., McKenzie, N., Bullen, K., & Williams, M. (2009) · doi:10.1071/zo09053 · Cited by 12
Dunn, C. D., Akpınar, B. A., & Sharma, V. (2019) · bioRxiv · doi:10.1534/g3.120.401312 · Cited by 10
“Additionally, the hearts of hummingbirds are larger, relative to their body size, than other birds and can pump at a rate of more than 1000 beats per minute (9).”
BackgroundWang, Z., Chen, G., Zhang, G.-J., & Zhou, Q. (2020) · Zoological Research · doi:10.24272/j.issn.2095-8137.2020.175 · Cited by 9
Hébert, I., & Dunlop, E. (2020) · doi:10.1016/j.jglr.2020.01.012 · Cited by 9
Unified theory of interspecific allometric scaling
da Silva, J. K. L., Barbosa, L. A., & Silva, P. R. (2007) · Journal of Physics A Mathematical and Theoretical · doi:10.1088/1751-8113/40/44/f01 · Cited by 9 · see citing works
Widrig, K. E., Bhullar, B.-A. S., & Field, D. J. (2023) · Journal of Anatomy · doi:10.1111/joa.13919 · Cited by 10 · see citing works
Cui, J.-F., Lei, B., Newman, C., Zhou, Y.-B., & Wang, Z.-P. (2022) · Global Ecology and Conservation · doi:10.1016/j.gecco.2022.e02339 · Cited by 8
Counterpoint: high altitude is not for the birds!
Llanos, A., Ebensperger, G., Herrera, E., Reyes, R., Moraga, F., Parer, J., & Giussani, D. (2011) · Journal of applied physiology · doi:10.1152/japplphysiol.00821.2011a · Cited by 8 · see citing works
Horrell, H. D., Lindeque, A., Farrell, A., Seymour, R., White, C., Kruger, K. M., & Snelling, E. P. (2022) · Proceedings of the Royal Society B · doi:10.1098/rspb.2021.2461 · Cited by 7
McKenzie, N., & Bullen, R. (2018) · doi:10.1071/zo19012 · Cited by 7
Evolutionary ecophysiology in extreme environments under a global change scenario
Burraco, P., Hawkes, L. A., Pilakouta, N., Angelier, F., Brans, K. I., & Orizaola, G. (2025) · Conservation Physiology · doi:10.1093/conphys/coaf059 · Cited by 6 · see citing works
“…transport cascade (Butler, 2010; Scott et al. , 2015; Hawkes et al. , 2017), but because flight costs scale following a power law with body mass (Bishop, 1997), it is likely that smaller species (e.g. alpine chough Pyrrhocorax graculus digitatus , or other smaller passerine species) may have…”
Yunker, K. A., Hostnik, E. T., Johnson, J. G., & Giatis, I. Z. (2018) · Journal of zoo and wildlife medicine · doi:10.1638/2017-0193.1 · Cited by 6
Scaling of morphology and ultrastructure of hearts among wild African antelope
Snelling, E. P., Maloney, S. K., Farrell, A. P., Meyer, L. C. R., Izwan, A., Fuller, A., Mitchell, D., Haw, A. J., Costello, M.-A., & Seymour, R. S. (2018) · Journal of Experimental Biology · doi:10.1242/jeb.184713 · Cited by 6 · see citing works
“This finding is at odds with the isometric scaling of heart mass on body mass reported from broad interspecific analyses of mammals (Bishop, 1997; Brody, 1945; Prothero, 1979; Stahl, 1965), as well as narrower analyses of some phylogenetic groups (Davis, 1962; Prothero, 1979; Stahl, 1965).”
BackgroundInfluentialMechanical properties of the latissimus dorsi muscle after cyclic training.
Askew, G., Cox, V., Altringham, J., & Goldspink, D. (2002) · Journal of applied physiology · doi:10.1152/japplphysiol.00218.2002 · Cited by 5
“7(4) Time to half twitch relaxation, ms 37.”
BackgroundInfluentialButler, P., Bishop, C. M., & Woakes, A. J. (2003) · doi:10.1007/978-3-662-05957-9_36 · Cited by 4
Self-citationSchwehn, R., Engelke, E., Seiler, C., Fischer, D., Seifert, H., Pfarrer, C., Fehr, M., & Legler, M. (2025) · Veterinary Sciences · doi:10.3390/vetsci12050498 · Cited by 3
“Unlike goshawks and buzzards, they might rely on their metatarsal fat pad to distribute pressure, but, compared to falcons, their degree of “adaptive specialization for prolonged locomotor activity” appears to be lower, as indicated by a smaller heart muscle mass [62].”
A Preliminary Study on the Siphon Mechanism in Giraffe (Giraffa camelopardalis)
van der Walt, M. S., Daffue, W., Goedhals, J., van der Merwe, S., & Deacon, F. (2022) · Animals · doi:10.3390/ani12233348 · Cited by 3 · see citing works
“Birds are known to have higher blood pressure in comparison to mammals [26], and it was found that blood pressure is not related to body mass [25].”
BackgroundRonaldson, H. L., Monticelli, P., Cuff, A., Michel, K., d'Ovidio, D., & Adami, C. (2020) · Journal of avian medicine and surgery · doi:10.1647/1082-6742-34.1.17 · Cited by 3
“rates to maintain adequate cardiac output.(19) It is, therefore, reasonable to assume that bradycardia may be exceptionally harmful for this avian species and that the cardiac-depressant effects of the anesthetic drugs, together with the peculiar cardiovascular physiology of tinamous, may have created the potential fo…”
BackgroundMcKenzie, N., Bullen, R., & Pennay, M. (2020) · doi:10.1071/am19038 · Cited by 3
“Additional references Bishop, C. M. (1997). Heart mass and the maximum cardiac output of birds and mammals: implications for estimating the maximum aerobic power input of flying animals. Philos. Trans. R. S. Lond. B. 352, 447–456. Bullen, R. D., McKenzie, N. L. and Cruz-Neto, A. P. (2014). Aerodynamic power and mechan…”
BackgroundMethodInfluentialSena, M. V. D. A., Voeten, D. F. A. E., de Araújo, E. V., & Cubo, J. (2025) · PeerJ · doi:10.7717/peerj.19806 · Cited by 2 · see citing works
“…elevated aerobic capacity, the juvenile pterosaur exhibits lower mass-specific power output for sustained vertical takeoff when compared to similarly sized migratory phasianids, such as Coturnix coturnix and Coturnix chinensis ( Bishop, 1997 ; Askew & Marsh, 2001 ; Henry, Ellerby & Marsh, 2005 ).”
- Authors
- Bishop, C. M.
- Affiliations
- University of Birmingham (GB)
- Corresponding author
- Bishop, Charles M.
- ORCID
- Bishop, Charles M.
- Venue
- Philosophical Transactions of the Royal Society of London. Series B: Biological Sciences
- Publisher
- The Royal Society
- Published
- 1997-04-29
- Volume
- 352
- Issue
- 1352
- Pages
- 447-456
- ISSN
- 0962-8436 (ISSN-L)
- 1471-2970
- PMC
- PMC1691941
- OpenAlex
- W2149061431
- Cited by
- 154
- References
- 0
- Citations by year
- 2026: 4 · 2025: 11 · 2024: 5 · 2023: 6 · 2022: 6 · 2021: 5 · 2020: 6 · 2019: 3 · 2018: 2 · 2017: 9 · 2016: 7 · 2015: 11 · 2014: 12 · 2013: 4 · 2012: 9
- FWCI
- 4.25
- Type
- journal article
- Language
- en
- Open access
- green
- europepmc.org
- Locations
- Philosophical Transactions of the Royal Society B Biological Sciences (publishedVersion)
- Europe PMC (PubMed Central) (publishedVersion)
- PubMed Central (publishedVersion)
- Topics
- Physical Sciences › Environmental Science › Ecology › Physiological and biochemical adaptations
- Health Sciences › Medicine › Complementary and alternative medicine › Cardiovascular and exercise physiology
- Physical Sciences › Engineering › Aerospace Engineering › Biomimetic flight and propulsion mechanisms
- Keywords
- bird flight, hummingbirds, birds, mammals, allometric scaling, cardiorespiratory fitness, flight muscle mass, sexual dimorphism, Tinamidae, Otidae, heart rate, locomotor activity, secondary sexual characteristics, cardiovascular physiology, endurance performance
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