Convection in an isolated planet is characterized by narrow downwellings and broad updrafts-consequences of Archimedes' principle, the cooling required by the second law of thermodynamics, and the effect of compression on material properties. A mature cooling planet with a conductive low-viscosity core develops a thick insulating surface boundary layer with a thermal maximum, a subadiabatic interior, and a cooling highly conductive but thin boundary layer above the core. Parts of the surface layer sink into the interior, displacing older, colder material, which is entrained by spreading ridges. Magma characteristics of intraplate volcanoes are derived from within the upper boundary layer. Upper mantle features revealed by seismic tomography and that are apparently related to surface volcanoes are intrinsically broad and are not due to unresolved narrow jets. Their morphology, aspect ratio, inferred ascent rate, and temperature show that they are passively responding to downward fluxes, as appropriate for a cooling planet that is losing more heat through its surface than is being provided from its core or from radioactive heating. Response to doward flux is the inverse of the heat-pipe/mantle-plume mode of planetary cooling. Sheardriven melt extraction from the surface boundary layer explains volcanic provinces such as Yellowstone, Hawaii, and Samoa. Passive upwellings from deeper in the upper mantle feed ridges and nearridge hotspots, and others interact with the sheared and metasomatized surface layer. Normal plate tectonic processes are responsible both for plate boundary and intraplate swells and volcanism.mantle convection | geochemistry R ecent papers dealing with seismic tomography of the Earth's interior (1-3) confirm earlier studies that showed that broad upwellings, or updrafts, rather than narrow pipes, underlie or run parallel to linear volcanic chains (4-6). These wide features would have to be due to unresolved narrow (<200 km diameter) conduits if there is any validity to the mantle plume hypothesis. In addition, these hypothetical narrow conduits would have to be significantly hotter, and to be ascending at significantly greater rates, than inferred from tomographic and tectonic features and mass balance calculations. That such narrow features have not been detected is almost certainly because they do not exist and not because of poor resolution. That they do not exist can be argued from general geophysical principles, which we propose to do in this contribution. Those principles were established before plumes became the favored hypothesis of many Earth scientists for midplate volcanism. Geochemists especially did not take physical considerations into account in the formulation of their reservoir, marble cake, and whole-mantle convection models. Before considering the implications of the current tomographic state of the art, we shall briefly explain how these stark differences in opinion came about.In 1952, two influential but diametrically opposite views of the origin, evolution, and structure of...