Rv. Cartar et Mv. Abrahams, PREDICTING THE DISTRIBUTION OF ORGANISMS AMONG A FEW PATCHES - PROBLEMS WITH DETECTING DEPARTURES FROM THE IDEAL FREE DISTRIBUTION, Oikos, 78(2), 1997, pp. 388-393
Much empirical work has examined whether foraging animals distribute t
hemselves across patches of resources according to an ideal free distr
ibution (IFD). Most studies consider situations with 2 patches, where
choice of one patch is synonymous,vith rejection of the alternative. I
n this paper, we use computer simulations to determine the effect of t
he number of patches on achievement of an IFD, Identical foragers were
allowed to move between patches so as to maximize their intake rate.
To generate departures from an IFD, we assigned all foragers a percept
ion Limit of prey numbers such that they could not perceive difference
s in patch quality that exceed this limit. Foragers would choose rando
mly from the patches among which they could perceive no differences. W
e found that, for the same perception limit, departures from an IFD we
re greatest in the 2-patch situation. In addition, we are less likely
to detect perception limit-generated deviations from an IFD (or even a
random distribution) in greater than 2-patch situations unless He exa
mine cases in which there are large among-patch differences in quality
. Hence, lab and field studies that incorporate the greater realism ac
hieved by using more than 2 patches must be cautious about falsely acc
epting the hypothesis of an IFD, particularly if the causes of deviati
ons from an IFD are independent of the number of patches. We review pu
blished studies and find that conformity to an IFD seems to decrease w
ith an increase in the number of patches. Hence, if deviations from an
IFD are perception-induced, discrimination may decrease with the numb
er of patches, presumably because of the increasing physical and compu
tational difficulties of keeping track of each patch.