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Fig. 1. Typical isotope enrichments from breath samples taken before (diamonds) and after flight (circles) in a zebra finch. In this example, depressed isotope enrichment occurred in the first breath sample collected at 3 min after flight. A linear regression was therefore fitted before flight and forward-extrapolated to predict the enrichment at the time when the bird first began to fly. A polynomial regression was fitted after flight and back-extrapolated to predict the enrichment at the time when flight ended (accounting for the time spent on the perches). This generated two points, the gradient between them being the elimination rate (kc) during flight. kc was substituted into Equations 1 and 2, to give predictions of O2 and CO2, which were converted to energy expenditure in W.





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