Flight of the honey bee VII: metabolic power versus flight speed relation

The existing experimental data on metabolic power P _m of honey bees are critically discussed, partly corrected for real flight conditions and plotted as a function of flight speed v. New wind tunnel measurements of tethered flight under near-natural conditions are added in the range 3.3<v<5.1 m·s^-1, derived from exhaustion flight measurements. Within this small sector the latter measurements can be characterised by a linear correlation: P _m(mW)=6.72v (m·s^-1)+13.83, the slope of which is significantly different from zero. The over-all P _m(v) curve is significantly not a straight line of zero slope but a U-shaped minimum curve and may be approximated by a second-order polynom: P _m=49.2-8.9v+1.5v ². The same is true for relative metabolic power, P _{m rel (e)} related to empty body mass of 76.5 mg: P _{m rel(e)}=630.0-114.0v+19.2v ² (P _m in mW: P _{m rel} in mW·g^-1; v in m·s^-1). The data support the existence of a U-shaped power-versus-speed curve in bees.Abbreviations bm body mass (mg) - f full - e empty - mu muscles - P _m (mJ·s^-1=mW) metabolic power (input) - P _{m rel} (mW·g^-1) relative metabolic power - P _mec (mW) mechanical power (output) - efficiency (of the flight musculature) - t(s) flight time - v (m·s^-1) relative speed between bee and air