Starting from a position paper by Hans Bremermann, general aspects of
search behavior are envisaged: locomotion itself, the capability of or
ientation and possible storage of information about the 'goals' of a s
earch. The importance of stochasticity in these processes is briefly d
iscussed. In particular, experimental findings and theoretical concept
s on the homing search of desert isopods (Hemilepistus reaumuri) are p
resented. Using the general framework of stochastic differential equat
ions for the angular turning rate of a migrating individual, search pa
ths with characteristic loops and meanders can be modelled and simulat
ed. Search success is quantified by measuring the degree of path overl
ap and by computing an index of area search intensity. Quantities are
plotted versus path length, both for observed isopod data and for typi
cal simulated search paths. Certain elements of a systematic search ar
e described and explained by a hypothesis about temporal locomotion co
ntrol, based on the isopod's ability for path integration and directio
nal compensation. Finally, possible effects of orientational cues are
mentioned.