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Foraging
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The Energetic Cost of Search Time
A primary challenge in foraging theory is quantifying the "search time" component, which represents the energy expended locating, but not yet consuming, a resource patch. This is often modeled using dynamic programming to minimize the expected time to acquisition ($E[T_{acq}]$).
The temporal component of energy expenditure ($ET$) for locating a single high-value item ($Vi$) within a heterogeneous patch is approximated by the following semi-empirical equation: