Cerebellar long-term depression (LTD) is a calcium-dependent process in whi
ch coincident activity of parallel fiber (PF) and climbing fiber (CF) synap
ses causes a long-lasting decrease in PF synaptic strength onto Purkinje ce
lls. Here we show that pairing CF activation with bursts of PF activity tri
ggers large (>10 muM) calcium signals in Purkinje cell dendrites. When PFs
are densely activated, signals span whole dendritic branchlets and are medi
ated by voltage-dependent calcium entry. When PFs are sparsely activated, h
owever, signals are restricted to single spines and blocked by metabotropic
glutamate receptor antagonists. Single-spine signals and sparse-stimulatio
n LTD are also blocked by thapsigargin, indicating that calcium must be rel
eased from stores. Single-spine signals and sparse-stimulation LTD are grea
test when PF activation precedes the CF activation within 50-200 ms. This t
iming rule matches the properties of several forms of motor learning, provi
ding a link between behavior and functional properties of cerebellar synapt
ic plasticity.