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Fig. 1. Schematic representation of Eqn 1 and 2, showing our conceptualization of a
bird's energy balance. Birds gain energy during foraging and lose energy when
traveling between food patches. The switch between these modes is
instantaneous. (A) The general case where energy gain,
En(tp), and the power required for
flight, P(tt), are functions of time (Eqn 1). (B)
The simplification used in this study where En and
P are constant over time (Eqn 2). The total travel time is in both
cases calculated by the sum
tt=
itt(i)
and the time spent foraging is calculated by
tp=
itp(i).
Note that P is given in positive values in Eqn 1 and 2, so that
-P is used on the negative part of the vertical axis.