We report that neuronal spike trains can exhibit high, stimulus-depend
ent temporal precision even while the trial-to-trial response variabil
ity, measured in several traditional ways, remains substantially indep
endent of the stimulus. We show that retinal ganglion cells and neuron
s in the lateral geniculate nucleus (LGN) of cats in vivo display both
these aspects of firing behavior, which have previously been reported
to be contradictory. We develop a simple model that treats neurons as
''leaky'' integrate-and-fire devices and show that it, too, can exhib
it both behaviors. We consider the implications of our findings for th
e problem of neural coding.