We examine a one-dimensional circularly symmetric supergranulation reconnec
tion model with typical quiet-Sun values. In this model, the assumed source
rate of elements determines heating, because all emerged elements eventual
ly annihilate; the assumed collision cross section determines mean field-th
e more efficient the interaction, the fewer elements exist at any time; and
the effective element diffusivity determines the ratio of held strengths i
n the network and cell interior. Power-law indices for the variation of the
heating flux with the mean magnetic field were computed in order to allow
comparisons to observations. The indices are found to be in the range 1.9-2
.0, and the only parameter that was found to have much effect on them was t
he effective element diffusivity, where the index declines roughly logarith
mically with decreasing diffusivity. Even this effect is fairly shallow, ho
wever; a tenfold reduction in diffusivity only lowers the power-law index f
rom 1.9 to 1.7.