D. Grunbaum, USING SPATIALLY EXPLICIT MODELS TO CHARACTERIZE FORAGING PERFORMANCE IN HETEROGENEOUS LANDSCAPES, The American naturalist, 151(2), 1998, pp. 97-115
The success of most foragers is constrained by limits to their sensory
perception, memory, and locomotion. However, a general and quantitati
ve understanding of how these constraints affect foraging benefits, an
d the trade-offs they imply for foraging strategies, is difficult to a
chieve. This article develops foraging performance statistics to asses
s constraints and define trade-offs for foragers using biased random w
alk behaviors, a widespread class of foraging strategies that includes
area-restricted searches, kineses, and taxes. The statistics are expe
cted payoff and expected travel time and assess two components of fora
ging performance: how effectively foragers distinguish between resourc
e-poor and resource rich parts of their environments and how quickly f
oragers in poor parts of the environment locate resource concentration
s. These statistics provide a link between mechanistic models of indiv
iduals' movement and functional responses, population-level models of
forager distributions in space and time, and foraging theory predictio
ns of optimal forager distributions and criteria fur abandoning resour
ce parches. Application of the analysis to area-restricted search in c
occinellid beetles suggests that the most essential aspect of these pr
edators' foraging strategy is the ''turning threshold,'' the prey dens
ity at which ladybirds switch from slow to rapid turning. This thresho
ld effectively determines whether a forager exploits or abandons a res
ource concentration. Foraging is most effective when the threshold is
tuned to match physiological or energetic requirements. These performa
nce statistics also help anticipate and interpret the dynamics of comp
lex spatially and temporally varying forager-resource systems.