  We revisit the problem of the predominance of the 'weakest' species in the
context of Lotka-Volterra and May-Leonard implementations of a spatial
stochastic rock-paper-scissors model in which one of the species has its
predation probability reduced by $0 < \mathcal{P}_w < 1$. We show that,despite
the different population dynamics and spatial patterns, these two
implementations lead to qualitatively similar results for the late time values
of the relative abundances of the three species (as a function of
$\mathcal{P}_w$), as long as the simulation lattices are sufficiently large for
coexistence to prevail --- the 'weakest' species generally having an advantage
over the others (specially over its predator). However, for smaller simulation
lattices, we find that the relatively large oscillations at the initial stages
of simulations with random initial conditions may result in a significant
dependence of the probability of species survival on the lattice size and total
simulation time.
