Many animals search in a saltatory fashion: they move forward, pause b
riefly, and move forward again. Although many optimal-foraging models
have been developed, most do not address how an animal searches for fo
od. We view search strategies as ''time-distance'' functions to allow
not only for the possibility of oscillations in body speed, as implied
by saltatory search, but other movement patterns as well, including c
ruise search. The key feature of our models is distinguishing between
the body position and the scan position (where the forager is looking)
. We see the varying movement of saltatory search as a consequence of
the curvature in the functions that relate body speed to benefits (Jen
sen's inequality).