Lanthanide contraction is the steady decrease in size of atoms and ions of rare earth elements with increasing atomic number from lanthanum.
(Atomic number =57 )
It is caused by poor shielding effect of 4f-electrons. In row 3 , we have 4f-electrons which do not shield good, causing a greater nuclear charge.
This greater nuclear charge has a greater pull on electrons.
Thus, we can say that decrease in atomic radii is the effect of lanthanoid contraction in lanthanoid series.