Cost of flight in the zebra finch ( Taenopygia guttata ): a novel approach based on elimination of 13 C labelled bicarbonate

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Abstract
On three separate occasions, five zebra finches (Taenopygia guttata) were injected intraperitoneally with 0.2 ml 0.29 M NaH13CO3 solution and placed immediately into respirometry chambers to explore the link between 13C elimination and both O2 consumption (VO2) and CO2 production (VCO2). Isotope elimination was best modelled by a mono-exponential decay. The elimination rate (kc) of the 13C isotope in breath was compared to VO2 (ml O2/min) and VCO2 (ml CO2/min) over sequential 5-min time intervals following administration of the isotope. Elimination rates measured 15–20 min after injection gave the closest relationships to VO2 (r 2 =0.82) and VCO2 (r 2=0.63). Adding the bicarbonate pool size (Nc) into the prediction did not improve the fit. A second group of birds (n=11) were flown for 2 min (three times in ten birds and twice in one) between 15 min and 20 min following an injection of 0.2 ml of the same NaH13CO3 solution. Breath samples, collected before and after flight, were used to calculate kc over the flight period, which was converted to VO2 and VCO2 using the equation generated in the validation experiment for the corresponding time period. The energy expenditure (watts) during flight was calculated from these values using the average RQ measured during flight of 0.79. The average flight cost measured using the bicarbonate technique was 2.24±0.11 W (mean±SE). This average flight cost did not differ significantly from predictions generated by an allometric equation formulated by Masman and Klaassen (1987 Auk 104:603–616). It was however substantially higher than the predictions based on the aerodynamic model of Pennycuick (1989 Oxford University Press), which assumes an efficiency of 0.23 for flight. The flight efficiency in these birds was 0.11 using this model. Flight cost was not related to within-individual variation [general linear model (GLM) F 1,31=1.16, P=0.29] or across-individual variations in body mass (GLM F 1,31=0.26, P=0.61), wingspan (regression F 1,10=0.01, P=0.94) or wing loading (regression F 1, 31=0.001, P=0.99) in this sample of birds.

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