Neurophysiological studies have shown that the deeper layers of the su
perior colliculus (SC) contain a topographical neural map representing
the ocular vectorial displacement required for foveation of the targe
t (motor error). It is known that the location of the active area in t
his neural map can be updated, not only following changes in retinal e
rror, but also by efference-copy signals representing a change in eye
position. Since it can be shown that a two-layer feedforward network c
annot perform this task, we have simulated this system by training a t
hree-layered neural network with access to retinal error and efference
copy information about eye position. The network was taught to code m
otor error topographically (as in the collicular motor map) by generat
ing population activity at the appropriate location in its output laye
r for different combinations of visual and efference copy signals. Aft
er the network had learned the required remapping transformation with
sufficient precision (error of one deg over an 80 x 80 deg working ran
ge), the properties of the trained network were analyzed. From an inve
stigation of the activity patterns of the hidden units in the trained
network it appeared that information about target location relative to
the head, implicitly present at the level of input signals, is no lon
ger available at the level of the hidden layer. More detailed inspecti
on of the properties of these units revealed that they code motor erro
r. Their movement field is a monotonic function of motor error amplitu
de, and shows broad direction tuning specific for each unit. Finally,
simulations were made with a four layered network with an architecture
and access to input signals closely mimicking Robinson's model of the
saccadic system. Again, the network was trained to represent motor er
ror topographically in its output layer. The model shows, for the firs
t time, how the computation of the topographical motor error map in th
e SC from retinal and eye position signals may proceed in two steps, i
nvolving a stage where target location is coded in a distributed fashi
on in craniotopic coordinates and a subsequent supracollicular stage,
where radial motor error is represented in a firing-rate code in units
with broad tuning characteristics. These two stages in the model show
interesting similarities with the characteristics of neuron populatio
ns shown neurophysiologically in area 7a and parietal region LIP, resp
ectively.