Imposing a thermal and compositional significance to the outcome of the inversion of seismic data facilitates their interpretation. Using long-period seismic waveforms and an inversion approach that includes constraints from mineral physics, we find that lateral variations of temperature can explain a large part of the data in the upper mantle. The additional compositional signature of cratons emerges in the global model as well. Above 300 km, we obtain seismic geotherms that span the range of expected temperatures in various tectonic regions. Absolute velocities and gradients with depth are well constrained by the seismic data throughout the upper mantle, except near discontinuities. The seismic data are consistent with a slower transition zone and an overall faster shallow upper mantle, which is not compatible with a homogenous dry pyrolite composition. A gradual enrichment with depth in a garnet-rich component helps to reduce the observed discrepancies. A hydrated transition zone would help to lower the velocities in the transition zone, but it does not explain the seismic structure above it.mantle composition ͉ seismology ͉ mineral physics T he thermal state and composition of Earth's upper mantle and transition zone dictate its dynamics from microscale (e.g., creep mechanisms and earthquakes) to macroscale (e.g., modality of mantle convection and plate tectonics). The knowledge of these fundamental physical parameters and their 3D variations in Earth's deep interior is indirect and relies entirely on the interpretation of geophysical data, based on insights from theoretical and experimental mineral physics. Among these data, seismological observations constitute a main source of information. Seismic waves record information about the elastic (and anelastic) structure of Earth. Long-period seismic data provide the most comprehensive global constraints on upper mantle shear velocity structure. Fundamental-mode surface waves are mostly sensitive to the uppermost mantle structure, and including overtones provides resolution in the transition zone.Lateral temperature variations in the Earth have been inferred since the first tomographic studies began to reconstruct 3D seismic velocity structure (1, 2). However, despite the everimproving resolution of seismic velocity models and a general agreement of different models on at least the large-scale structure (e.g., refs. 3-6), interpretation is still challenging. The few quantitative interpretation efforts made to date have shown that much of the seismic heterogeneity in the uppermost mantle is probably thermal in origin (7, 8), but it is likely that there is a compositional contribution under cratons (9, 10) and that fluids influence the very low velocities in the mantle wedge above subduction zones (8). By adding constraints from gravity or geoid data, joint inversions for seismic velocity and density have been performed because of the better chance to isolate thermal and compositional effects (11-13). Whereas temperature sensitivity dominates for seismic velociti...