ALLOMETRY AND THE GEOMETRY OF LEAF-CUTTING IN ATTA-CEPHALOTES

This study considers the relationship of both leg length and the geometry of leaf-cutting to load-size determination by the highly polymorphic leaf-cutting ant Atta cephalotes. A. cephalotes workers anchor on the leaf edge by their hind legs and pivot around them while cutting arcs from leaves. I tested the hypothesis that, for an ant cutting a semicircular leaf fragment, fragment area is determined by a fixed "reach" while cutting. This "reach hypothesis" predicts that ants should cut the same fragment-area for at all leaf types. Also, if the radius of the semicircular fragment is proportional to hind leg length, this hypothesis predicts that leaf area should be proportional to hind-leg length squared. The field work was carried out in March-April 1990 and June 1991 in Heredia Province, Costa Rica. I measured hind-leg length for workers of different masses. I then measured leaf-fragment area and mass for workers cutting semicircular fragments from leaves of different densities (mass/area). The logarithmic relationship between ant mass (M(a)) and hind-leg length L accelerated negatively (Fig. 1). As a result of this "complex" allometry, relative leg length (L/M(a)0.33) increased with ant mass up to a mass of 7.4 mg. Above 7.4 mg, relative leg length decreased. For foragers cutting semicircular fragments, the area cut by an ant of a given size showed no significant difference among leaves of different densities (Fig. 2). Leaf area (A) increased as a function of leg length to the 1.9 power (Fig. 4), an exponent not significantly different from the square function expected if the radius of a fragment is determined by the ant's "reach". As a result of this consistent mode of fragment-area determination, the mass of fragments cut by an ant of a given size was significantly greater when cutting denser leaves (Fig. 3) and relative area (A/M(a)) cut decreased with increasing ant mass. However, because larger ants generally cut denser leaves (Table 1), the increased density of thick leaves was offset by the reduced relative area cut by the larger ants. Overall, 93% of the foragers cut fragments weighing between 1.5 and 6 times their own body mass (Table 1). Earlier studies found that this broad load-mass range maximized the biomass-transport rate (mass/distance/time) and transport efficiency (mass/distance/energy cost). Thus, A. cephalotes does not solve the problem of matching ant mass and load mass at leaves of different densities with flexibility in the leaf-cutting behavior of individual ants. Instead, individual ants employ a single simple behavioral rule, but workers of different sizes and body proportions tend to cut leaves of different densities.