Skip to main content

Thank you for visiting nature.com. You are using a browser version with limited support for CSS. To obtain the best experience, we recommend you use a more up to date browser (or turn off compatibility mode in Internet Explorer). In the meantime, to ensure continued support, we are displaying the site without styles and JavaScript.

  • Letter
  • Published:

Mechanical power output of bird flight

Abstract

Aerodynamic theory predicts that the power required for an animal to fly over a range of speeds is represented by a ‘U’-shaped curve, with the greatest power required at the slowest and fastest speeds, and minimum power at an intermediate speed1,2,3,4,5,6. Tests of these predictions, based on oxygen consumption measurements of metabolic power in birds7,8,9,10,11,12 and insects13, support a different interpretation, generating either flat or ‘J’-shaped power profiles, implying little additional demand between hovering and intermediate flight speeds14. However, respirometric techniques represent only an indirect assessment of the mechanical power requirements of flight and no previous avian study has investigated an animal's full range of attainable level flight speeds. Here we present data from in vivo bone-strain measurements of pectoralis muscle force coupled with wing kinematics in black-billed magpies (Pica pica ), which we use to calculate mechanical power directly. As these birds flew over their full range of speeds, we offer a complete profile of mechanical power output during level flapping flight for this species. Values of mechanical power output are statistically indistinguishable (that is, the power curve is flat) over most forward-flight speeds but are significantly higher during hovering and flight at very low speeds.

This is a preview of subscription content, access via your institution

Access options

Buy this article

Prices may be subject to local taxes which are calculated during checkout

Figure 1: a, Illustration of a magpie pectoral girdle and forelimb showing the placement of a strain gauge on the delto-pectoral crest (DPC; expanded in inset) and indwelling bipolar electromyographic (EMG) wires in the pectoralis muscle, all connected to a dorsal plug.
Figure 2: a, Mean pectoralis force output (±se.; n = 12 per flight speed, except n = 3 for hovering flight) generated by magpie 3 during the downstroke, recorded for speeds ranging from hovering flight (0 m s−1) to a maximum observed speed of 14 m s−1, at intervals of 2 m s−1.
Figure 3: a, Summary of the mean total mechanical power output measured for all three magpies as a function of flight speed.

Similar content being viewed by others

References

  1. Tucker, V. A. Bird metabolism during flight: evaluation of a theory. J. Exp. Biol. 58, 689–709 (1973).

    Google Scholar 

  2. Pennycuick, C. J. Power requirements for horizontal flight in the pigeon Columba livia. J. Exp. Biol. 49, 527–555 (1968).

    Google Scholar 

  3. Pennycuick, C. J. in Avian Biology (eds. Farner, D. S. & King, J. R.) 5, 1–75 (1975).

    Book  Google Scholar 

  4. Pennycuick, C. J. Bird Flight Performance (Univ. Press, Oxford, (1989)).

    Google Scholar 

  5. Rayner, J. M. V. Anew approach to animal flight mechanics. J. Exp. Biol. 80, 17–54 (1979).

    Google Scholar 

  6. Norberg, U. M. Vertebrate Flight (Springer, Berlin, (1990)).

    Book  Google Scholar 

  7. Tucker, V. A. Respiratory exchange and evaporative water loss in the flying budgerigar. J. Exp. Biol. 48, 67–87 (1968).

    Google Scholar 

  8. Tucker, V. A. Metabolism during flight in the laughing gull, Larus atricilla. Am. J. Physiol. 222, 237–245 (1972).

    Article  CAS  Google Scholar 

  9. Hudson, D. M. & Bernstein, M. H. Gas exchange and energy cost of flight in the white-necked raven, Corvus cryptoleucus. J. Exp. Biol. 103, 121–130 (1983).

    CAS  Google Scholar 

  10. Berger, M., Hart, O. Z. & Roy, J. S. Respiration, oxygen consumption and heart rate in some birds during rest and flight. Z. Vergl. Physiol. 66, 201–214 (1970).

    Article  Google Scholar 

  11. Torre-Bueno, J. R. & LaRochelle, J. The metabolic cost of flight in unrestrained birds. J. Exp. Biol. 75, 223–229 (1978).

    CAS  Google Scholar 

  12. Rothe, H.-J., Biesel, W. & Nachtigall, W. Pigeon flight in a wind tunnel. II. Gas exchange and power requirements. J. Comp. Physiol. B 157, 99–109 (1987).

    Article  Google Scholar 

  13. Ellington, C. P., Machin, K. I. & Casey, T. M. Oxygen consumption of bumblebees in forward flight. Nature 347, 472–473 (1990).

    Article  ADS  Google Scholar 

  14. Ellington, C. P. Limitations on animal flight performance. J. Exp. Biol. 160, 71–91 (1991).

    Google Scholar 

  15. Dial, K. P. & Biewener, A. A. Pectoralis muscle force and power output during different modes of flight in pigeons (Columba livia ). J. Exp. Biol. 176, 31–54 (1993).

    Google Scholar 

  16. Tobalske, B. W. & Dial, K. P. Neuromuscular control and kinematics of intermittent flight in budgerigars (Melopsittacus undulatus ). J. Exp. Biol. 187, 1–13 (1994).

    CAS  Google Scholar 

  17. Josephson, R. K. The mechanical power output of a tettigonid wing muscle during singing and flight. J. Exp. Biol. 117, 357–368 (1985).

    Google Scholar 

  18. Tobalske, B. W. & Dial, K. P. Flight kinematics of black-billed magpies and pigeons over a wide range of speeds. J. Exp. Biol. 199, 263–280 (1996).

    CAS  Google Scholar 

  19. Biewener, A. A. & Dial, K. P. In vivo strain in the pigeon humerus during flight. J. Morph. 225, 61–75 (1995).

    Article  Google Scholar 

  20. Hedenstrom, A. & T. Alerstam. Skylark optimal flight speeds for flying nowhere and somewhere. Behav. Ecology 7, 121–126.

  21. Liechti, F., Ehrich, D. & Bruderer, B. Flight behaviour of white storks Ciconia ciconia on their migration over Southern Israel. Ardea 84, 3–13 (1997).

    Google Scholar 

  22. Biewener, A. A., Dial, K. P. & Goslow, G. E. J Pectoralis muscle force and power output during flight in the starling. J. Exp. Biol. 164, 1–18 (1992).

    Article  Google Scholar 

  23. Dial, K. P. Activity patterns of the wing muscles in the pigeon (Columba livia ) during different modes of flight. J. Exp. Zool. 262, 357–373 (1992).

    Article  Google Scholar 

  24. Dial, K. P. Avian forelimb muscles and nonsteady flight: can birds fly without using the muscles in their wings? Auk 109, 874–885 (1992).

    Article  Google Scholar 

  25. Van Den Berg, C. & Rayner, J. M. V. The moment of inertia of bird wings and the inertial power requirement for flapping flight. J. exp. Biol. 198, 1655–1664 (1995).

    Google Scholar 

  26. Scholey, K. D. Evelopments in Vertebrate Flight: Climbing and Gliding of Mammals and Reptiles and the Flapping Flight of Birds. thesis, Univ. Bristol (1983).

Download references

Acknowledgements

We thank F. A. Jenkins Jr for his thoughtful input on previous drafts of this manuscript; M. LaBarbera, J. M. Marzluff, D. Fawcett and D. F. Boggs for their comments; and J. Gilpin for making the force-transducer used to calibrate the DPC strain recordings. Supported by grants from the NSF to K.P.D. and A.A.B.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to K. P. Dial.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Dial, K., Biewener, A., Tobalske, B. et al. Mechanical power output of bird flight. Nature 390, 67–70 (1997). https://doi.org/10.1038/36330

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1038/36330

This article is cited by

Comments

By submitting a comment you agree to abide by our Terms and Community Guidelines. If you find something abusive or that does not comply with our terms or guidelines please flag it as inappropriate.

Search

Quick links

Nature Briefing

Sign up for the Nature Briefing newsletter — what matters in science, free to your inbox daily.

Get the most important science stories of the day, free in your inbox. Sign up for Nature Briefing