The origin of the flattening of the seafloor bathymetry and geoid at old ag
es is still a matter of debate. Is this departure from the square-root-of-a
ge law induced by dynamic uplift of the lithosphere linked to the flow in t
he mantle or by cooling of the lithosphere different from that predicted fo
r an infinite half-space? The amplitude of the dynamic uplift should strong
ly decrease at short wavelengths and should not be correlated with the seaf
loor age on a local scale. Therefore, in order to eliminate the 'dynamic si
gnal', the cooling of the lithosphere is studied here by means of depth-age
and geoid-age relationships computed from high-pass filtered bathymetric,
geoid and age fields, or from local dtopography/d root age and dgeoid/dage
slopes. The geoid-age and depth-age relationships obtained here are in good
agreement with those previously deduced from global non-filtered data. At
all observation scales, a significant departure from the halfspace solution
is found. However, the data are not sufficiently accurate to discriminate
between the Plate and CHABLIS (Constant Heat flow At the Base of the Lithos
pheric ISotherm) models. Our results support the existence of small-scale c
onvection supplying heat at the base of the old oceanic lithosphere.