Previous studies have shown that the Pacific geoid and gravity fields
exhibit lineated anomalies, trending approximately in the direction of
absolute plate motion over the underlying mantle. Because the undulat
ions obliquely cross fracture zones they have often been attributed a
convective origin. Recently, lithospheric boudinage caused by diffuse
extension has been proposed as a possible mechanism. We have examined
the undulations in the free-air anomalies, geoid and bathymetry over a
portion of the Pacific Plate to determine quantitatively how the undu
lations are related to plate motion. We compare the observed data to a
n axisymmetric, sinusoidal undulation defined in an arbitrary frame of
reference; in particular, we seek the north pole of this reference fr
ame that maximizes the correlation between data and model. Poles that
are close to the Pacific hotspot pole represent copolar undulations po
ssibly related to plate motion. The distance between the best-fitting
poles and the hotspot pole is determined as a function of undulation w
avelength and reveals several minima (with distance < 10 degrees) for
discrete geoid wavebands centered on wavelengths of 160 km, 225 km, 28
7 km, 400 km, 660 km, 850 km, 1000 km and 1400 km. Bathymetry data hav
e copolar bathymetric expressions as well, giving an implied admittanc
e of 2-3 m/km. The most co-polar geoid/bathymetry undulations (with po
les within 2-3 degrees of the average Pacific Euler pole) have wavelen
gths of similar to 280 km and similar to 1050 km, respectively. The la
tter could have a convective origin or be related to the spacing of ho
tspot swells. The former may reflect lithospheric boudinage formed in
response to diffuse extension, but could also have a dynamic origin si
nce flexural dampening may only have attenuated the bathymetric amplit
ude by 50% or less. Radiometric dating of volcanic ridges found in the
troughs of prominent gravity lineations gives ages that correlate wel
l with documented changes in Pacific and Indo/Australian Plate motion,
suggesting the ridges formed in response to intermittent plate bounda
ry stresses and not as a direct consequence of small-scale convection
or diffuse extension.