We developed a mathematical model based on the microalgal-gastropod system
studied by Schmitt, in which two coexisting consumers (Tegula eisini and T.
aureotincta) feed on a common resource. The two consumers differ in their
foraging behavior and their ability to remove microalgae from rock surfaces
. T. eisini is a digger, moving slowly and grazing the algae down to almost
bare substrate, whereas T. aureotincta is a grazer, moving more quickly an
d leaving behind a larger fraction of the algal layer. These complementary
foraging strategies result in a size-structured algal resource, with each s
ize class differentially accessible to each of the consumers. Our model rec
ognized three accessibility states for an algal patch: a refuge (recently g
razed by the digger and currently inaccessible to either consumer), a low l
evel (exploitable only by the digger), and a high level (exploitable by bot
h consumers). We assumed that all interactions between consumers and resour
ces were linear and examined the relatively short time-scale dynamics of fe
eding, algal renewal, and individual consumer growth at fixed densities of
consumers. Thus, our model complemented related models that have focused on
population dynamics rather than foraging behavior. The model revealed that
coexistence of two consumers feeding on a single algal resource can be med
iated by differences in the consumers' foraging modes and the resource stru
cture that these behaviors create.
We then estimated model parameters using data from Schmitt's experimental s
tudies of Tegula. The fits to the experimental data were all very good, and
the resulting parameter values placed the system very close to a narrow co
existence region, demonstrating that foraging complementarity in this syste
m facilitates coexistence. The foraging trade-offs observed here are likely
to be common in many consumer-resource systems. Indeed, mechanisms similar
to those we discuss have been suggested in many other systems in which sim
ilar consumers also coexist. This model not only demonstrates that such an
argument is theoretically plausible, but also provides the first applicatio
n of the model, showing that the observed conditions for the Tegula system
fall very close to the appropriate parameter space. Such quantitative tests
are critical if we are to rigorously test the models developed to explain
patterns of coexistence.