Studies of seismic attenuation must account for the large amplitude deviati
ons caused by elastic focusing of energy. In a new approach, we jointly inv
ert phase and amplitude measurements of 19,000 minor are Rayleigh waves bet
ween periods of 40 and 150 seconds. The simultaneous inversion ensures that
attenuation and phase velocity are mutually consistent because the phase a
nd focusing term of amplitude are modelled using a common elastic model. At
the shortest periods the maps show a good correlation between attenuation
and phase velocity, suggesting a common cause in the uppermost mantle, most
probably thermal in origin. This correlation is lost at longer periods. Th
e main signal beyond periods of 100 seconds is a strongly attenuating circu
m Pacific zone and a pronounced ring of high attenuation around Africa. Thi
s feature seems reliable in our attenuation maps but not correlated to an e
quivalent structure in phase velocity. We thus favour scattering of wave en
ergy on large size structures as a possible cause.