G. D. Acton and R. G. Gordon, Paleomagnetic tests of pacific plate reconstructions and implications for motion between hotspots, Science, vol.263, pp.1246-1254, 1994.

G. Airy, On the computation of the effect of the attraction of mountain-masses, as distributing the apparent astronomical latitude of stations in geodetic surveys, Philosophical Transactions of the Royal Society of London A: Mathematical, Physical and Engineering Sciences, vol.145, 1955.

Y. Al-hajri, N. White, and S. Fishwick, Scales of transient convective support beneath africa, Geology, vol.37, pp.883-886, 2009.

M. Albers and U. R. Christensen, Channeling of plume flow beneath mid-ocean ridges, Earth and Planetary Science Letters, vol.187, pp.207-220, 2001.

T. Alboussì-ere and Y. Ricard, Rayleigh-bénard stability and the validity of quasi-boussinesq or quasianelastic liquid approximations, Journal of Fluid Mechanics, vol.817, pp.264-305, 2017.

B. P. Allmann and P. M. Shearer, Global variations of stress drop for moderate to large earthquakes, Journal of Geophysical Research: Solid Earth, vol.114, 2009.

C. Amante and B. W. Eakins, ETOPO1 1 arc-minute global relief model: procedures, data sources and analysis. US Department of Commerce, National Oceanic and Atmospheric Administration, National Environmental Satellite, Data, and Information Service, Marine Geology and Geophysics Division Colorado, 2009.

D. Anderson, The persistent mantle plume myth, Australian Journal of Earth Sciences, vol.60, pp.657-673, 2013.

D. L. Anderson, Hotspots, polar wander, mesozoic convection and the geoid, Nature, vol.297, p.391, 1982.

D. L. Anderson, Top-down tectonics?, Science, vol.293, pp.2016-2018, 2001.
DOI : 10.1126/science.1065448

. Anonymous, Edo era-1855. Shin Yoshiwara ¯ onamazu yurai-The cause of the great catfish at Shin Yoshiwara

J. J. Armitage, J. S. Collier, and T. A. Minshull, The importance of rift history for volcanic margin formation, Nature, vol.465, p.913, 2010.

M. Arnould, N. Coltice, N. Flament, V. Seigneur, and R. D. Muller, On the scales of dynamic topography in whole-mantle convection models, Geochemistry, Geophysics, Geosystems, vol.19, pp.3140-3163, 2018.

J. Austermann, B. T. Kaye, J. X. Mitrovica, and P. Huybers, A statistical analysis of the correlation between large igneous provinces and lower mantle seismic structure, Geophysical Journal International, vol.197, pp.1-9, 2014.

J. Badro, J. P. Rueff, G. Vankó, G. Monaco, G. Fiquet et al., Electronic transitions in perovskite: Possible nonconvecting layers in the lower mantle, Science, vol.305, pp.383-386, 2004.
URL : https://hal.archives-ouvertes.fr/hal-00087150

W. Bai, C. Vigny, Y. Ricard, and C. Froidevaux, On the origin of deviatoric stresses in the lithosphere, Journal of Geophysical Research: Solid Earth, vol.97, pp.11729-11737, 1992.

M. Ballmer, J. Van-hunen, G. Ito, T. Bianco, and P. Tackley, Intraplate volcanism with complex agedistance patterns: A case for small-scale sublithospheric convection. Geochemistry, Geophysics, Geosystems 10, 2009.

M. Ballmer, J. Van-hunen, G. Ito, P. Tackley, and T. Bianco, Non-hotspot volcano chains originating from small-scale sublithospheric convection, Geophysical Research Letters, vol.34, 2007.
DOI : 10.1029/2007gl031636

URL : https://agupubs.onlinelibrary.wiley.com/doi/pdf/10.1029/2007GL031636

M. D. Ballmer, G. Ito, J. Van-hunen, and P. J. Tackley, Spatial and temporal variability in hawaiian hotspot volcanism induced by small-scale convection, Nature Geoscience, vol.4, p.457, 2011.
DOI : 10.1038/ngeo1187

M. D. Ballmer, N. C. Schmerr, T. Nakagawa, and J. Ritsema, Compositional mantle layering revealed by slab stagnation at?1000at?1000-km depth, 2015.
DOI : 10.1126/sciadv.1500815

URL : https://advances.sciencemag.org/content/advances/1/11/e1500815.full.pdf

N. Barnett-moore, N. Flament, C. Heine, N. Butterworth, and R. D. Müller, Cenozoic uplift of south western australia as constrained by river profiles, Tectonophysics, vol.622, pp.186-197, 2014.

G. Batchelor, An introduction to fluid dynamics, Google Scholar, pp.511-517, 1967.

T. Becker, A. Schaeffer, S. Lebedev, and C. Conrad, Toward a generalized plate motion reference frame, Geophysical Research Letters, vol.42, pp.3188-3196, 2015.
DOI : 10.1002/2015gl063695

URL : https://agupubs.onlinelibrary.wiley.com/doi/pdf/10.1002/2015GL063695

T. W. Becker and L. Boschi, A comparison of tomographic and geodynamic mantle models. Geochemistry, Geophysics, Geosystems 3, 2002.

T. W. Becker, C. P. Conrad, B. Buffett, and R. D. Müller, Past and present seafloor age distributions and the temporal evolution of plate tectonic heat transport, Earth and Planetary Science Letters, vol.278, pp.233-242, 2009.

T. W. Becker and C. Faccenna, Mantle conveyor beneath the tethyan collisional belt, Earth and Planetary Science Letters, vol.310, pp.453-461, 2011.

L. Bello, Prediction des structures convectives terrestres, 2015.
URL : https://hal.archives-ouvertes.fr/tel-01126911

L. Bello, N. Coltice, T. Rolf, and P. J. Tackley, On the predictability limit of convection models of the earth's mantle, Geochemistry, Geophysics, Geosystems, vol.15, pp.2319-2328, 2014.

L. Bello, N. Coltice, P. J. Tackley, R. D. Müller, and J. Cannon, Assessing the role of slab rheology in coupled plate-mantle convection models, Earth and Planetary Science Letters, vol.430, pp.191-201, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01355776

H. Bénard, Les tourbillons cellulaires dans une nappe liquide. Revue générale des, Sciences Pures et Appliquées, vol.11, 1900.

H. Bénard, Les tourbillons cellulaires dans une nappe liquide transportant la chaleur par convection en régime permanent, Annales de Chimie et de Physique, 1901.

D. Bercovici, A simple model of plate generation from mantle flow, Geophysical Journal International, vol.114, pp.635-650, 1993.

D. Bercovici, The generation of plate tectonics from mantle convection, Earth and Planetary Science Letters, vol.205, pp.107-121, 2003.

D. Bercovici and Y. Ricard, Plate tectonics, damage and inheritance, Nature, vol.508, p.513, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01366855

P. Bernard, Qu'est-ce qui fait trembler la Terre ? ` A l'origine des catastrophes sismiques, 2003.

M. Bertrand, Excursion nb xx, Livret-guide du 8e congrès géologique international, pp.7-44, 1900.

J. Besse and V. Courtillot, Apparent and true polar wander and the geometry of the geomagnetic field over the last 200 myr, Journal of Geophysical Research: Solid Earth, vol.107, 2002.

M. I. Billen and M. Gurnis, A low viscosity wedge in subduction zones, Earth and Planetary Science Letters, vol.193, pp.227-236, 2001.

M. I. Billen and G. Hirth, Newtonian versus non-newtonian upper mantle viscosity: Implications for subduction initiation, Geophysical Research Letters, vol.32, 2005.

P. Bird, An updated digital model of plate boundaries. Geochemistry, Geophysics, Geosystems 4, 2003.

M. Bocher, N. Coltice, A. Fournier, and P. J. Tackley, A sequential data assimilation approach for the joint reconstruction of mantle convection and surface tectonics, Geophysical Journal International, vol.204, pp.200-214, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01355793

M. Bocher, A. Fournier, and N. Coltice, Ensemble kalman filter for the reconstruction of the earth's mantle circulation, Nonlinear Processes in Geophysics 25, p.99, 2018.

R. Boehler, High-pressure experiments and the phase diagram of lower mantle and core materials, Reviews of Geophysics, vol.38, pp.221-245, 2000.

F. Boioli, P. Carrez, P. Cordier, B. Devincre, K. Gouriet et al., Pure climb creep mechanism drives flow in earth's lower mantle, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01637562

F. Boioli, P. Carrez, P. Cordier, B. Devincre, and M. Marquille, Modeling the creep properties of olivine by 2.5-dimensional dislocation dynamics simulations, Physical Review B, vol.92, p.14115, 2015.

L. Boschi, T. Becker, and B. Steinberger, Mantle plumes: dynamic models and seismic images. Geochemistry, Geophysics, Geosystems 8, 2007.

L. Boschi, C. Faccenna, and T. Becker, Mantle structure and dynamic topography in the mediterranean basin, Geophysical Research Letters, vol.37, 2010.

J. Boussinesq, Théorie analytique de la chaleur mise en harmonie avec la thermodynamique et avec la théorie mécanique de lalumì ere, 1901.

D. J. Bower, M. Gurnis, and N. Flament, Assimilating lithosphere and slab history in 4-d earth models, Physics of the Earth and Planetary Interiors, vol.238, pp.8-22, 2015.

W. Bowie, The part played by isostasy in geophysics and geology, Journal of the Washington Academy of Sciences, vol.17, pp.101-117, 1927.

W. Brace and D. Kohlstedt, Limits on lithospheric stress imposed by laboratory experiments, Journal of Geophysical Research: Solid Earth, vol.85, pp.6248-6252, 1980.

A. Brandt, Guide to multigrid development, Multigrid methods, pp.220-312, 1982.

J. Braun, The many surface expressions of mantle dynamics, Nature Geoscience, vol.3, p.825, 2010.
URL : https://hal.archives-ouvertes.fr/insu-00549249

J. Braun, C. Thieulot, P. Fullsack, M. Dekool, C. Beaumont et al., Douar: A new threedimensional creeping flow numerical model for the solution of geological problems, Physics of the Earth and Planetary Interiors, vol.171, pp.76-91, 2008.
URL : https://hal.archives-ouvertes.fr/hal-00532147

B. A. Buffett, The thermal state of earth's core, Science, vol.299, pp.1675-1677, 2003.

K. Bullen, Seismology and the broad structure of the earth's interior, Physics and Chemistry of the Earth, vol.1, pp.68-93, 1956.

H. P. Bunge, Low plume excess temperature and high core heat flux inferred from non-adiabatic geotherms in internally heated mantle circulation models, Physics of the Earth and Planetary Interiors, vol.153, pp.3-10, 2005.

H. P. Bunge, Y. Ricard, and J. Matas, Non-adiabaticity in mantle convection, Geophysical research letters, vol.28, pp.879-882, 2001.
URL : https://hal.archives-ouvertes.fr/hal-02046739

H. P. Bunge, M. Richards, and J. Baumgardner, Mantle-circulation models with sequential data assimilation: inferring present-day mantle structure from plate-motion histories, Philosophical Transactions of the Royal Society of London A: Mathematical, Physical and Engineering Sciences, vol.360, pp.2545-2567, 2002.

H. P. Bunge and M. A. Richards, The origin of large scale structure in mantle convection: effects of plate motions and viscosity stratification, Geophysical Research Letters, vol.23, pp.2987-2990, 1996.

H. P. Bunge, M. A. Richards, and J. R. Baumgardner, A sensitivity study of three-dimensional spherical mantle convection at 108 rayleigh number: Effects of depth-dependent viscosity, heating mode, and an endothermic phase change, Journal of Geophysical Research: Solid Earth, vol.102, pp.11991-12007, 1997.

K. Burke, Origin of the cameroon line of volcano-capped swells, The Journal of Geology, vol.109, pp.349-362, 2001.

K. Burke, W. Kidd, and J. T. Wilson, Relative and latitudinal motion of atlantic hot spots, Nature, vol.245, p.133, 1973.

K. Burke, B. Steinberger, T. H. Torsvik, and M. A. Smethurst, Plume generation zones at the margins of large low shear velocity provinces on the core-mantle boundary, Earth and Planetary Science Letters, vol.265, pp.49-60, 2008.

E. Burov, Plate rheology and mechanics, Treatise of Geophysics. Crust and Lithospere Dynamics, 2007.

E. Burov, The equivalent elastic thickness (te), seismicity and the long-term rheology of continental lithosphere: Time to burn-out "crème brûlée"?: Insights from large-scale geodynamic modeling, Tectonophysics, vol.484, pp.4-26, 2010.

E. Burov and M. Diament, Isostasy, equivalent elastic thickness, and inelastic rheology of continents and oceans, Geology, vol.24, pp.419-422, 1996.

E. Burov and A. Watts, The long-term strength of continental lithosphere:" jelly sandwich" or" crème brûlée, GSA today 16, p.4, 2006.

E. B. Burov, Rheology and strength of the lithosphere, Marine and Petroleum Geology, vol.28, pp.1402-1443, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00640966

E. B. Burov and M. Diament, The effective elastic thickness (t e) of continental lithosphere: what does it really mean, Journal of Geophysical Research: Solid Earth, vol.100, pp.3905-3927, 1995.

N. Butterworth, A. Talsma, R. Müller, M. Seton, H. P. Bunge et al., Geological, tomographic, kinematic and geodynamic constraints on the dynamics of sinking slabs, Journal of Geodynamics, vol.73, pp.1-13, 2014.

S. Butterworth, On the theory of filter amplifiers, Wireless Engineer, vol.7, pp.536-541, 1930.

J. Byerlee, Friction of rocks, in: Rock friction and earthquake prediction, pp.615-626, 1978.

O. Cadek and L. Fleitout, Effect of lateral viscosity variations in the top 300 km on the geoid and dynamic topography, Geophysical Journal International, vol.152, pp.566-580, 2003.

I. Campbell, Identification of ancient mantle plumes, 2001.

I. H. Campbell and R. W. Griffiths, Implications of mantle plume structure for the evolution of flood basalts, Earth and Planetary Science Letters, vol.99, pp.79-93, 1990.

J. P. Canales, G. Ito, R. S. Detrick, and J. Sinton, Crustal thickness along the western galápagos spreading center and the compensation of the galápagos hotspot swell, Earth and Planetary Science Letters, vol.203, pp.311-327, 2002.

S. C. Cande, C. A. Raymond, J. Stock, and W. F. Haxby, Geophysics of the pitman fracture zone and pacific-antarctic plate motions during the cenozoic, Science, vol.270, pp.947-953, 1995.

S. C. Cande and D. R. Stegman, Indian and african plate motions driven by the push force of the reunion plume head, Nature, vol.475, p.47, 2011.

M. Cannat, A. Briais, C. Deplus, J. Escartin, J. Georgen et al., Mid-atlantic ridge-azores hotspot interactions: along-axis migration of a hotspot-derived event of enhanced magmatism 10 to 4 ma ago, Earth and Planetary Science Letters, vol.173, pp.257-269, 1999.

A. Cazenave, K. Dominh, M. Rabinowicz, and G. Ceuleneer, Geoid and depth anomalies over ocean swells and troughs: evidence of an increasing trend of the geoid to depth ratio with age of plate, Journal of Geophysical Research: Solid Earth, vol.93, pp.8064-8077, 1988.

A. Cazenave, A. Souriau, and K. Dominh, Global coupling of earth surface topography with hotspots, geoid and mantle heterogeneities, Nature, vol.340, p.54, 1989.

A. Chopelas and R. Boehler, Thermal expansivity in the lower mantle, Geophysical Research Letters, vol.19, 1983.

U. Christensen, Convection with pressure-and temperature-dependent non-newtonian rheology, Geophysical Journal International, vol.77, pp.343-384, 1984.

U. Christensen, Instability of a hot boundary layer and initiation of thermo-chemical plumes, pp.311-319, 1984.

U. R. Christensen, Heat transport by variable viscosity convection and implications for the earth's thermal evolution, Physics of the Earth and planetary interiors, vol.35, pp.264-282, 1984.

U. R. Christensen and A. W. Hofmann, Segregation of subducted oceanic crust in the convecting mantle, Journal of Geophysical Research: Solid Earth, vol.99, 1994.

U. R. Christensen and D. A. Yuen, Layered convection induced by phase transitions, Journal of Geophysical Research: Solid Earth, vol.90, pp.10291-10300, 1985.

V. Clouard and A. Bonneville, How many pacific hotspots are fed by deep-mantle plumes?, Geology, vol.29, pp.695-698, 2001.

M. F. Coffin, M. Pringle, R. Duncan, T. Gladczenko, M. Storey et al., Kerguelen hotspot magma output since 130 ma, Journal of Petrology, vol.43, pp.1121-1137, 2002.

J. P. Cogné and E. Humler, Temporal variation of oceanic spreading and crustal production rates during the last 180 my, Earth and Planetary Science Letters, vol.227, pp.427-439, 2004.

L. Colli, S. Ghelichkhan, and H. P. Bunge, On the ratio of dynamic topography and gravity anomalies in a dynamic earth, Geophysical Research Letters, vol.43, pp.2510-2516, 2016.

N. Coltice, M. Gérault, and M. Ulvrová, A mantle convection perspective on global tectonics, Earth-Science Reviews, vol.165, 2017.

N. Coltice, G. Larrouturou, E. Debayle, and E. J. Garnero, Interactions of scales of convection in the earth's mantle, Tectonophysics, vol.746, pp.669-677, 2017.

N. Coltice, B. Phillips, H. Bertrand, Y. Ricard, and P. Rey, Global warming of the mantle at the origin of flood basalts over supercontinents, Geology, vol.35, pp.391-394, 2007.
URL : https://hal.archives-ouvertes.fr/hal-00337501

N. Coltice and Y. Ricard, Geochemical observations and one layer mantle convection, Earth and Planetary Science Letters, vol.174, pp.125-137, 1999.
URL : https://hal.archives-ouvertes.fr/hal-02046744

N. Coltice, T. Rolf, P. Tackley, and S. Labrosse, Dynamic causes of the relation between area and age of the ocean floor, Science, vol.336, pp.335-338, 2012.
URL : https://hal.archives-ouvertes.fr/insu-00696224

N. Coltice, M. Seton, T. Rolf, R. Müller, and P. J. Tackley, Convergence of tectonic reconstructions and mantle convection models for significant fluctuations in seafloor spreading, Earth and Planetary Science Letters, vol.383, pp.92-100, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00877303

N. Coltice and G. E. Shephard, Tectonic predictions with mantle convection models, Geophysical Journal International, vol.213, pp.16-29, 2018.

J. A. Conder, D. S. Scheirer, and D. W. Forsyth, Seafloor spreading on the amsterdam-st. paul hotspot plateau, Journal of Geophysical Research: Solid Earth, vol.105, pp.8263-8277, 2000.

C. P. Conrad and M. D. Behn, Constraints on lithosphere net rotation and asthenospheric viscosity from global mantle flow models and seismic anisotropy, Geochemistry, Geophysics, 2010.

C. P. Conrad, T. A. Bianco, E. I. Smith, and P. Wessel, Patterns of intraplate volcanism controlled by asthenospheric shear, Nature Geoscience, vol.4, p.317, 2011.

C. P. Conrad and M. Gurnis, Seismic tomography, surface uplift, and the breakup of gondwanaland: Integrating mantle convection backwards in time, 2003.

C. P. Conrad and L. Husson, Influence of dynamic topography on sea level and its rate of change, Lithosphere, vol.1, pp.110-120, 2009.
URL : https://hal.archives-ouvertes.fr/insu-00563645

C. P. Conrad and C. Lithgow-bertelloni, How mantle slabs drive plate tectonics, Science, vol.298, pp.207-209, 2002.

C. P. Conrad and C. Lithgow-bertelloni, The temporal evolution of plate driving forces: Importance of "slab suction" versus "slab pull" during the cenozoic, Journal of Geophysical Research: Solid Earth, vol.109, 2004.

C. P. Conrad and C. Lithgow-bertelloni, Influence of continental roots and asthenosphere on plate-mantle coupling, Geophysical Research Letters, vol.33, 2006.

C. P. Conrad, B. Steinberger, and T. H. Torsvik, Stability of active mantle upwelling revealed by net characteristics of plate tectonics, Nature, vol.498, p.479, 2013.

G. Corti, J. Van-wijk, S. Cloetingh, and C. K. Morley, Tectonic inheritance and continental rift architecture: Numerical and analogue models of the east african rift system, Tectonics 26, 2007.

E. Cottrell and K. A. Kelley, Redox heterogeneity in mid-ocean ridge basalts as a function of mantle source, Science, p.1233299, 2013.

V. Courtillot, A. Davaille, J. Besse, and J. Stock, Three distinct types of hotspots in the earth's mantle, Earth and Planetary Science Letters, vol.205, pp.295-308, 2003.

V. Courtillot, C. Jaupart, I. Manighetti, P. Tapponnier, and J. Besse, On causal links between flood basalts and continental breakup, Earth and Planetary Science Letters, vol.166, pp.177-195, 1999.

V. E. Courtillot and P. R. Renne, On the ages of flood basalt events, Comptes Rendus Geoscience, vol.335, pp.113-140, 2003.

F. Crameri, C. Lithgow-bertelloni, and P. Tackley, The dynamical control of subduction parameters on surface topography. Geochemistry, Geophysics, Geosystems, 2017.

F. Crameri, H. Schmeling, G. Golabek, T. Duretz, R. Orendt et al., A comparison of numerical surface topography calculations in geodynamic modelling: an evaluation of the 'sticky air' method, Geophysical Journal International, vol.189, pp.38-54, 2012.

F. Crameri, P. Tackley, I. Meilick, T. Gerya, and B. Kaus, A free plate surface and weak oceanic crust produce single-sided subduction on earth, Geophysical Research Letters, vol.39, 2012.

F. Crameri and P. J. Tackley, Spontaneous development of arcuate single-sided subduction in global 3-d mantle convection models with a free surface, Journal of Geophysical Research: Solid Earth, vol.119, pp.5921-5942, 2014.

A. Crosby and D. Mckenzie, An analysis of young ocean depth, gravity and global residual topography, Geophysical Journal International, vol.178, pp.1198-1219, 2009.

S. T. Crough, Thermal origin of mid-plate hot-spot swells, Geophysical Journal International, vol.55, pp.451-469, 1978.

S. T. Crough, Hotspot swells, Annual Review of Earth and Planetary Sciences, vol.11, pp.165-193, 1983.

K. Czarnota, M. Hoggard, N. White, and J. Winterbourne, Spatial and temporal patterns of cenozoic dynamic topography around australia, Geochemistry, Geophysics, Geosystems, vol.14, pp.634-658, 2013.

L. Dal-zilio, M. Faccenda, and F. Capitanio, The role of deep subduction in supercontinent breakup, Tectonophysics, 2017.

C. A. Dalton, C. H. Langmuir, and A. Gale, Geophysical and geochemical evidence for deep temperature variations beneath mid-ocean ridges, Science, vol.344, pp.80-83, 2014.

A. Davaille, Simultaneous generation of hotspots and superswells by convection in a heterogeneous planetary mantle, Nature, vol.402, p.756, 1999.

A. Davaille, P. Carrez, and P. Cordier, Fat plumes may reflect the complex rheology of the lower mantle, Geophysical Research Letters, vol.45, pp.1349-1354, 2018.

A. Davaille, F. Girard, and M. Le-bars, How to anchor hotspots in a convecting mantle?, Earth and Planetary Science Letters, vol.203, pp.621-634, 2002.
URL : https://hal.archives-ouvertes.fr/hal-00084075

A. Davaille and C. Jaupart, Transient high-rayleigh-number thermal convection with large viscosity variations, Journal of Fluid Mechanics, vol.253, pp.141-166, 1993.

A. Davaille, M. Le-bars, and C. Carbonne, Thermal convection in a heterogeneous mantle, Comptes Rendus Geoscience, vol.335, pp.141-156, 2003.
URL : https://hal.archives-ouvertes.fr/hal-00084083

A. Davaille, S. Smrekar, and S. Tomlinson, Experimental and observational evidence for plume-induced subduction on venus, Nature Geoscience, vol.10, p.349, 2017.

A. Davaille and J. Vatteville, On the transient nature of mantle plumes, Geophysical Research Letters, vol.32, 2005.

D. R. Davies and J. H. Davies, Thermally-driven mantle plumes reconcile multiple hot-spot observations, Earth and Planetary Science Letters, vol.278, pp.50-54, 2009.

D. R. Davies, S. Goes, J. Davies, B. Schuberth, H. P. Bunge et al., Reconciling dynamic and seismic models of earth's lower mantle: The dominant role of thermal heterogeneity, Earth and Planetary Science Letters, vol.353, pp.253-269, 2012.

D. R. Davies and N. Rawlinson, On the origin of recent intraplate volcanism in australia, Geology, vol.42, pp.1031-1034, 2014.

G. F. Davies, Regional compensation of subducted lithosphere: effects on geoid, gravity and topography from a preliminary model, Earth and Planetary Science Letters, vol.54, pp.431-441, 1981.

G. F. Davies, Ocean bathymetry and mantle convection: 1. large-scale flow and hotspots, Journal of Geophysical Research: Solid Earth, vol.93, pp.10467-10480, 1988.

G. F. Davies, Ocean bathymetry and mantle convection: 2. small-scale flow, Journal od geophysical research, vol.93, 1988.

G. F. Davies, Dynamic earth: plates, plumes and mantle convection, 2001.

G. F. Davies, Mantle regulation of core cooling: A geodynamo without core radioactivity?, Physics of the Earth and Planetary Interiors, vol.160, pp.215-229, 2007.

G. F. Davies and F. Pribac, Mesozoic seafloor subsidence and the darwin rise, past and present, The Mesozoic Pacific: Geology, Tectonics, and Volcanism, pp.39-52, 1993.

J. H. Davies and D. R. Davies, Earth's surface heat flux, Solid Earth, vol.1, p.5, 2010.

E. Debayle, F. Dubuffet, and S. Durand, An automatically updated s-wave model of the upper mantle and the depth extent of azimuthal anisotropy, Geophysical Research Letters, vol.43, pp.674-682, 2016.

F. Deschamps and P. J. Tackley, Searching for models of thermo-chemical convection that explain probabilistic tomography: I. principles and influence of rheological parameters, Physics of the Earth and Planetary Interiors, vol.171, pp.357-373, 2008.

F. Deschamps and P. J. Tackley, Searching for models of thermo-chemical convection that explain probabilistic tomography. ii-influence of physical and compositional parameters, Physics of the Earth and Planetary Interiors, vol.176, pp.1-18, 2009.

R. S. Detrick and S. T. Crough, Island subsidence, hot spots, and lithospheric thinning, Journal of Geophysical Research: Solid Earth, vol.83, pp.1236-1244, 1978.

J. Dewey and J. Bird, Mountain belts and the new global tectonics, Journal of Geophysical research, vol.75, pp.2625-2647, 1970.

J. F. Dewey and J. M. Bird, Origin and emplacement of the ophiolite suite: Appalachian ophiolites in newfoundland, Journal of Geophysical Research, vol.76, pp.3179-3206, 1971.

V. Divenere and D. V. Kent, Are the pacific and indo-atlantic hotspots fixed? testing the plate circuit through antarctica, Earth and Planetary Science Letters, vol.170, pp.105-117, 1999.

M. P. Doin and P. Henry, Subduction initiation and continental crust recycling: the roles of rheology and eclogitization, Tectonophysics, vol.342, pp.163-191, 2001.

L. Dosso, H. Bougault, C. Langmuir, C. Bollinger, O. Bonnier et al., The age and distribution of mantle heterogeneity along the mid-atlantic ridge (31-41 n), Earth and Planetary Science Letters, vol.170, pp.269-286, 1999.

P. V. Doubrovine, B. Steinberger, and T. H. Torsvik, Absolute plate motions in a reference frame defined by moving hot spots in the pacific, atlantic, and indian oceans, Journal of Geophysical Research: Solid Earth, vol.117, 2012.

F. Dubuffet, D. A. Yuen, and T. Yanagawa, Feedback effects of variable thermal conductivity on the cold downwellings in high rayleigh number convection, Geophysical Research Letters, vol.27, pp.2981-2984, 2000.

R. Duncan, Hotspots in the southern oceans-an absolute frame of reference for motion of the gondwana continents, Tectonophysics, vol.74, pp.29-42, 1981.

J. Dyment, Evolution of the carlsberg ridge between 60 and 45 ma: Ridge propagation, spreading asymmetry, and the deccan-reunion hotspot, Journal of Geophysical Research: Solid Earth, vol.103, pp.24067-24084, 1998.

D. Dymkova and T. Gerya, Porous fluid flow enables oceanic subduction initiation on earth, Geophysical Research Letters, vol.40, pp.5671-5676, 2013.
DOI : 10.1002/2013gl057798

J. W. Elder, Steady free convection in a porous medium heated from below, Journal of Fluid Mechanics, vol.27, pp.29-48, 1967.

W. M. Elsasser, Convection and stress propagation in the upper mantle, The Application of Modern Physics to the Earth and Planetary Interiors, pp.223-246, 1969.

K. Farley and E. Neroda, Noble gases in the earth's mantle, Annual Review of Earth and Planetary Sciences, vol.26, pp.189-218, 1998.

C. Farnetani, Excess temperature of mantle plumes: the role of chemical stratification across d, Geophysical Research Letters, vol.24, pp.1583-1586, 1997.

C. Farnetani and H. Samuel, Beyond the thermal plume paradigm, Geophysical Research Letters, vol.32, 2005.
DOI : 10.1029/2005gl022360

C. G. Farnetani and A. W. Hofmann, Mantle plumes, in: Encyclopedia of Solid Earth Geophysics, pp.857-869, 2011.

J. G. Fitton and M. Godard, Origin and evolution of magmas on the ontong java plateau, Special Publications, vol.229, pp.151-178, 2004.

N. Flament, M. Gurnis, and R. D. Müller, A review of observations and models of dynamic topography, Lithosphere, vol.5, pp.189-210, 2013.

N. Flament, M. Gurnis, S. Williams, M. Seton, J. Skogseid et al., Topographic asymmetry of the south atlantic from global models of mantle flow and lithospheric stretching, Earth and Planetary Science Letters, vol.387, pp.107-119, 2014.

N. Flament, S. Williams, R. Müller, M. Gurnis, and D. J. Bower, Origin and evolution of the deep thermochemical structure beneath eurasia, Nature communications, vol.8, 2017.

B. J. Foley and T. W. Becker, Generation of plate-like behavior and mantle heterogeneity from a spherical, 2009.

D. Forsyth and S. Uyeda, On the relative importance of the driving forces of plate motion, Geophysical Journal of the Royal Astronomical Society, vol.43, pp.163-200, 1975.

D. W. Forsyth, N. Harmon, D. S. Scheirer, and R. A. Duncan, Distribution of recent volcanism and the morphology of seamounts and ridges in the glimpse study area: Implications for the lithospheric cracking hypothesis for the origin of intraplate, non-hot spot volcanic chains, Journal of Geophysical Research: Solid Earth, vol.111, 2006.

A. Forte, W. Peltier, A. Dziewonski, and R. Woodward, Dynamic surface topography: A new interpretation based upon mantle flow models derived from seismic tomography, Geophysical Research Letters, vol.20, pp.225-228, 1993.

G. Foulger and J. Natland, Is "hotspot" volcanism a consequence of plate tectonics?, Science, vol.300, pp.921-922, 2003.

S. W. French and B. Romanowicz, Broad plumes rooted at the base of the earth's mantle beneath major hotspots, Nature, vol.525, p.95, 2015.

T. Fromm, L. Planert, W. Jokat, T. Ryberg, J. H. Behrmann et al., South atlantic opening: A plume-induced breakup?, Geology, vol.43, pp.931-934, 2015.

D. A. Frost and S. Rost, The p-wave boundary of the large-low shear velocity province beneath the pacific, Earth and Planetary Science Letters, vol.403, pp.380-392, 2014.

P. Fullsack, An arbitrary lagrangian-eulerian formulation for creeping flows and its application in tectonic models, Geophysical Journal International, vol.120, pp.1-23, 1995.

F. Funiciello, C. Faccenna, A. Heuret, S. Lallemand, E. Di-giuseppe et al., Trench migration, net rotation and slab-mantle coupling, Earth and Planetary Science Letters, vol.271, pp.233-240, 2008.
URL : https://hal.archives-ouvertes.fr/hal-00412008

C. W. Gable, R. J. O'connell, and B. J. Travis, Convection in three dimensions with surface plates: Generation of toroidal flow, Journal of Geophysical Research: Solid Earth, vol.96, pp.8391-8405, 1991.

A. Gale, C. A. Dalton, C. H. Langmuir, Y. Su, and J. G. Schilling, The mean composition of ocean ridge basalts, Geochemistry, Geophysics, Geosystems, vol.14, pp.489-518, 2013.

J. Ganne and X. Feng, Magmatism: A crustal and geodynamic perspective, Journal of Structural Geology, 2018.

E. J. Garnero, A. K. Mcnamara, and S. H. Shim, Continent-sized anomalous zones with low seismic velocity at the base of earth's mantle, Nature Geoscience, 2016.

E. J. Garnero, J. Revenaugh, Q. Williams, T. Lay, and L. H. Kellogg, Ultralow velocity zone at the coremantle boundary. The core-mantle boundary region 28, pp.319-334, 1998.

P. Gente, J. Dyment, M. Maia, and J. Goslin, Interaction between the mid-atlantic ridge and the azores hot spot during the last 85 myr: Emplacement and rifting of the hot spot-derived plateaus, 2003.

L. Geoffroy, Volcanic passive margins, Comptes Rendus Geoscience, vol.337, pp.1395-1408, 2005.
URL : https://hal.archives-ouvertes.fr/hal-00502489

M. Gérault, L. Husson, M. S. Miller, and E. D. Humphreys, Flat-slab subduction, topography, and mantle dynamics in southwestern mexico, Tectonics, vol.34, pp.1892-1909, 2015.

T. V. Gerya, J. A. Connolly, and D. A. Yuen, Why is terrestrial subduction one-sided?, Geology, vol.36, pp.43-46, 2008.

T. V. Gerya, R. J. Stern, M. Baes, S. V. Sobolev, and S. A. Whattam, Plate tectonics on the earth triggered by plume-induced subduction initiation, Nature, vol.527, p.221, 2015.

T. V. Gerya and D. A. Yuen, Characteristics-based marker-in-cell method with conservative finite-differences schemes for modeling geological flows with strongly variable transport properties, Physics of the Earth and Planetary Interiors, vol.140, pp.293-318, 2003.

S. Gibson, R. Thompson, and J. Day, Timescales and mechanisms of plume-lithosphere interactions: 40 ar/39 ar geochronology and geochemistry of alkaline igneous rocks from the paraná-etendeka large igneous province, Earth and Planetary Science Letters, vol.251, pp.1-17, 2006.

P. Gillet, I. Daniel, F. Guyot, J. Matas, and J. C. Chervin, A thermodynamic model for MgSiO3-perovskite derived from pressure, temperature and volume dependence of the raman mode frequencies, Physics of the Earth and Planetary Interiors, vol.117, pp.361-384, 2000.

G. A. Glatzmaier, Numerical simulations of mantle convection: Time-dependent, three-dimensional, compressible, spherical shell. Geophysical &amp, Astrophysical Fluid Dynamics, vol.43, pp.223-264, 1988.

S. Goes, R. Agrusta, J. Van-hunen, and F. Garel, Subduction-transition zone interaction: A review, Geosphere, vol.13, pp.644-664, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01571965

C. Goetze and B. Evans, Stress and temperature in the bending lithosphere as constrained by experimental rock mechanics, Geophysical Journal International, vol.59, pp.463-478, 1979.

O. Golle, C. Dumoulin, G. Choblet, and O. Cadek, Topography and geoid induced by a convecting mantle beneath an elastic lithosphere, Geophysical Journal International, vol.189, pp.55-72, 2012.

S. Gomez-chavez, A catalogue of dykes from aeromagnetic surveys in eastern and southern Africa. International Institute for Aerospace Survey and Earth Sciences, 2001.

H. Gomi and K. Hirose, Electrical resistivity and thermal conductivity of hcp fe-ni alloys under high pressure: Implications for thermal convection in the earth's core, Physics of the Earth and Planetary Interiors, vol.247, pp.2-10, 2015.

H. M. Gonnermann, A. M. Jellinek, M. A. Richards, and M. Manga, Modulation of mantle plumes and heat flow at the core mantle boundary by plate-scale flow: results from laboratory experiments, Earth and Planetary Science Letters, vol.226, pp.53-67, 2004.

R. G. Gordon, The plate tectonic approximation: Plate nonrigidity, diffuse plate boundaries, and global plate reconstructions, Annual Review of Earth and Planetary Sciences, vol.26, pp.615-642, 1998.

S. V. De-gouveia, J. Besse, D. F. De-lamotte, M. Greff-lefftz, M. Lescanne et al., Evidence of hotspot paths below arabia and the horn of africa and consequences on the red sea opening, Earth and Planetary Science Letters, vol.487, pp.210-220, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01801626

D. W. Graham, Noble gas isotope geochemistry of mid-ocean ridge and ocean island basalts: Characterization of mantle source reservoirs, Reviews in mineralogy and geochemistry, vol.47, pp.247-317, 2002.

M. Greff-lefftz and J. Besse, Sensitivity experiments on true polar wander, Geochemistry, Geophysics, Geosystems, vol.15, pp.4599-4616, 2014.

D. Griggs, A theory of mounain building, American Journal of Science, vol.237, 1939.

A. E. Gripp and R. G. Gordon, Young tracks of hotspots and current plate velocities, Geophysical Journal International, vol.150, pp.321-361, 2002.

M. Guerri, F. Cammarano, and P. J. Tackley, Modelling earth's surface topography: decomposition of the static and dynamic components, Physics of the Earth and Planetary Interiors, vol.261, pp.172-186, 2016.

F. Guillocheau, B. Simon, G. Baby, P. Bessin, C. Robin et al., Planation surfaces as a record of mantle dynamics: the case example of africa, Gondwana Research, vol.53, pp.82-98, 2018.
URL : https://hal.archives-ouvertes.fr/insu-01534695

L. Guillou and C. Jaupart, On the effect of continents on mantle convection, Journal of Geophysical Research: Solid Earth, vol.100, pp.24217-24238, 1995.
URL : https://hal.archives-ouvertes.fr/hal-00562385

M. Gurnis, Large-scale mantle convection and the aggregation and dispersal of supercontinents, Nature, vol.332, p.695, 1988.

M. Gurnis, Bounds on global dynamic topography from phanerozoic flooding of continental platforms, Nature, vol.344, p.754, 1990.

M. ;. Gurnis, . Am-forte, A. M. Peltier, R. L. Dziewonski, and . Woodward, Comment on "dynamic surface topography: a new interpretation based upon mantle flow models derived from seismic tomography, Geophysical research letters, vol.20, pp.1663-1664, 1993.

M. Gurnis, Phanerozoic marine inundation of continents driven by dynamic topography above subducting slabs, Nature, vol.364, pp.589-593, 1993.

M. Gurnis and G. F. Davies, Mixing in numerical models of mantle convection incorporating plate kinematics, Journal of Geophysical Research: Solid Earth, vol.91, pp.6375-6395, 1986.

M. Gurnis, C. Hall, and L. Lavier, Evolving force balance during incipient subduction. Geochemistry, Geophysics, Geosystems 5, 2004.

Z. Gvirtzman, C. Faccenna, and T. W. Becker, Isostasy, flexure, and dynamic topography, Tectonophysics, vol.683, pp.255-271, 2016.

B. Hager and M. Richards, Long-wavelength variations in earth's geoid: physical models and dynamical implications, Philosophical Transactions of the Royal Society of London A: Mathematical, Physical and Engineering Sciences, vol.328, pp.309-327, 1989.

B. H. Hager, Subducted slabs and the geoid: Constraints on mantle rheology and flow, Journal of Geophysical Research: Solid Earth, vol.89, pp.6003-6015, 1984.

B. H. Hager, R. W. Clayton, M. A. Richards, R. P. Comer, and A. M. Dziewonski, Lower mantle heterogeneity, dynamic topography and the geoid, Nature, vol.313, pp.541-545, 1985.

B. H. Hager and R. J. O'connell, Kinematic models of large-scale flow in the earth's mantle, Journal of Geophysical Research: Solid Earth, vol.84, pp.1031-1048, 1979.

B. H. Hager and R. J. O'connell, A simple global model of plate dynamics and mantle convection, Journal of Geophysical Research: Solid Earth, vol.86, pp.4843-4867, 1981.

B. B. Hanan and J. G. Schilling, The dynamic evolution of the iceland mantle plume: the lead isotope perspective, Earth and Planetary Science Letters, vol.151, pp.43-60, 1997.

U. Hansen, D. Yuen, S. Kroening, and T. Larsen, Dynamical consequences of depth-dependent thermal expansivity and viscosity on mantle circulations and thermal structure, Physics of the earth and planetary interiors, vol.77, issue.93, p.90099, 1993.

B. Hardarson, J. Fitton, R. Ellam, and M. Pringle, Rift relocation-a geochemical and geochronological investigation of a palaeo-rift in northwest iceland, Earth and Planetary Science Letters, vol.153, pp.181-196, 1997.

J. P. Hardman, N. Schofield, D. W. Jolley, S. P. Holford, A. J. Hartley et al., Prolonged dynamic support from the icelandic plume of the ne atlantic margin, Journal of the Geological Society, pp.2017-088, 2018.

S. Hart, J. G. Schilling, and J. Powell, Basalts from iceland and along the reykjanes ridge: Sr isotope geochemistry, Nature Physical Science, vol.246, 1973.

R. A. Hartley, G. G. Roberts, N. White, and C. Richardson, Transient convective uplift of an ancient buried landscape, Nature Geoscience, vol.4, pp.562-565, 2011.

N. Haskell, The motion of a viscous fluid under a surface load, Physics, vol.6, 1935.

R. Hassan, N. Flament, M. Gurnis, D. J. Bower, and D. Müller, Provenance of plumes in global convection models, Geochemistry, Geophysics, Geosystems, vol.16, pp.1465-1489, 2015.

R. Hassan, R. D. Müller, M. Gurnis, S. E. Williams, and N. Flament, A rapid burst in hotspot motion through the interaction of tectonics and deep mantle flow, Nature, vol.533, pp.239-242, 2016.

W. F. Haxby and J. K. Weissel, Evidence for small-scale mantle convection from seasat altimeter data, Journal of Geophysical Research: Solid Earth, vol.91, pp.3507-3520, 1986.

Y. He, L. Wen, and T. Zheng, Geographic boundary and shear wave velocity structure of the, Earth and Planetary Science Letters, vol.244, pp.302-314, 2006.

Z. Heng, Replica of the Houfeng Didong Yi-instrument for measuring the seasonal winds and the movements of the Earth. Exhibition Hall, Museum of Chinese History, vol.132

J. W. Hernlund and P. J. Tackley, Modeling mantle convection in the spherical annulus, Physics of the Earth and Planetary Interiors, vol.171, pp.48-54, 2008.

J. W. Hernlund, C. Thomas, and P. J. Tackley, A doubling of the post-perovskite phase boundary and structure of the earth's lowermost mantle, Nature, vol.434, p.882, 2005.

C. Herzberg, Partial crystallization of mid-ocean ridge basalts in the crust and mantle, Journal of Petrology, vol.45, pp.2389-2405, 2004.

C. Herzberg and P. Asimow, PRIMELT3 MEGA.XLSM software for primary magma calculation: peridotite primary magma mgo contents from the liquidus to the solidus, Geochemistry, Geophysics, Geosystems, vol.16, pp.563-578, 2015.

C. Herzberg and P. D. Asimow, Petrology of some oceanic island basalts: Primelt2. xls software for primary magma calculation, Geochemistry, Geophysics, Geosystems 9, 2008.

C. Herzberg, P. D. Asimow, N. Arndt, Y. Niu, C. Lesher et al., Temperatures in ambient mantle and plumes: Constraints from basalts, picrites, 2007.
URL : https://hal.archives-ouvertes.fr/insu-00226441

C. Herzberg, K. Condie, and J. Korenaga, Thermal history of the earth and its petrological expression, Earth and Planetary Science Letters, vol.292, pp.79-88, 2010.

C. Herzberg and E. Gazel, Petrological evidence for secular cooling in mantle plumes, Nature, vol.458, p.619, 2009.

H. H. Hess, Drowned ancient islands of the pacific basin, Eos Trans. AGU, 1946.

H. H. Hess, History of ocean basins. Petroligic studies: a volume in honnor to, 1962.

R. Hey, A new class of "pseudofaults" and their bearing on plate tectonics: A propagating rift model, Earth and Planetary Science Letters, vol.37, pp.321-325, 1977.

B. H. Heyn, C. P. Conrad, and R. G. Trønnes, Stabilizing effect of compositional viscosity contrasts on thermochemical piles, Geophysical Research Letters, vol.45, pp.7523-7532, 2018.

R. Van-der-hilst, S. Widiyantoro, and E. Engdahl, Evidence for deep mantle circulation from global tomography, Nature, vol.386, p.578, 1997.

D. Hilton, J. Barling, and G. Wheller, Effect of shallow-level contamination on the helium isotope systematics of ocean-island lavas, Nature, vol.373, p.330, 1995.

G. Hirth and D. Kohlstedt, Rheology of the upper mantle and the mantle wedge: A view from the experimentalists. Inside the subduction Factory, pp.83-105, 2003.

A. Hofmeister, Mantle values of thermal conductivity and the geotherm from phonon lifetimes, Science, vol.283, pp.1699-1706, 1999.

M. Hoggard, N. White, and D. Al-attar, Global dynamic topography observations reveal limited influence of large-scale mantle flow, Nature Geoscience, 2016.

M. J. Hoggard, J. Winterbourne, K. Czarnota, and N. White, Oceanic residual depth measurements, the plate cooling model, and global dynamic topography, Journal of Geophysical Research: Solid Earth, vol.122, pp.2328-2372, 2017.

T. Höink and A. Lenardic, Long wavelength convection, poiseuille-couette flow in the low-viscosity asthenosphere and the strength of plate margins, Geophysical Journal International, vol.180, pp.23-33, 2010.

A. Holmes, Xviii. radioactivity and earth movements, Transactions of the Geological Society of Glasgow, vol.18, pp.559-606, 1931.
URL : https://hal.archives-ouvertes.fr/in2p3-00803736

S. Honda, D. Yuen, S. Balachandar, and D. Reuteler, Three-dimensional instabilities of mantle convection with multiple phase transitions, Science, vol.259, pp.1308-1311, 1993.

G. Houseman, The thermal structure of mantle plumes: axisymmetric or triple-junction?, Geophysical Journal International, vol.102, pp.15-24, 1990.

L. N. Howard, Convection at high rayleigh number, pp.1109-1115, 1966.

J. Huang, S. Zhong, and J. Van-hunen, Controls on sublithospheric small-scale convection, Journal of Geophysical Research: Solid Earth, vol.108, 2003.

L. Husson, Dynamic topography above retreating subduction zones, Geology, vol.34, pp.741-744, 2006.

L. Husson, M. Bernet, S. Guillot, P. Huyghe, J. L. Mugnier et al., Dynamic ups and downs of the himalaya, Geology, vol.42, pp.839-842, 2014.

L. Husson, B. Guillaume, F. Funiciello, C. Faccenna, and L. H. Royden, Unraveling topography around subduction zones from laboratory models, Tectonophysics, vol.526, pp.5-15, 2012.
URL : https://hal.archives-ouvertes.fr/insu-00676700

B. Isacks, J. Oliver, and L. Sykes, Seismology and the new global tectonics, Journal of Geophysical research, vol.73, 1968.

J. Ita and S. D. King, Sensitivity of convection with an endothermic phase change to the form of governing equations, initial conditions, boundary conditions, and equation of state, Journal of Geophysical Research: Solid Earth, vol.99, pp.15919-15938, 1994.

G. Ito, Reykjanes' v'-shaped ridges originating from a pulsing and dehydrating mantle plume, Nature, vol.411, p.681, 2001.

G. Ito and P. E. Van-keken, Hotspots and melting anomalies, Treatise on Geophysics, vol.7, pp.371-436, 2007.

G. Ito and J. Lin, Oceanic spreading center-hotspot interactions: constraints from along-isochron bathymetric and gravity anomalies, Geology, vol.23, pp.657-660, 1995.

G. Ito, J. Lin, and D. Graham, Observational and theoretical studies of the dynamics of mantle plume-midocean ridge interaction, Reviews of Geophysics, p.41, 2003.

G. Ito, Y. Shen, G. Hirth, and C. J. Wolfe, Mantle flow, melting, and dehydration of the iceland mantle plume, Earth and Planetary Science Letters, vol.165, pp.81-96, 1999.

G. T. Jarvis and D. Mckenzie, Convection in a compressible fluid with infinite prandtl number, Journal of Fluid Mechanics, vol.96, pp.515-583, 1980.

G. T. Jarvis and W. Peltier, Mantle convection as a boundary layer phenomenon, Geophysical Journal International, vol.68, pp.389-427, 1982.

C. Jaupart, S. Labrosse, and J. Mareschal, 06-temperatures, heat and energy in the mantle of the earth, Treatise on geophysics, vol.7, pp.223-270, 2007.

C. Jaupart and J. C. Mareschal, Heat flow and thermal structure of the lithosphere, 2015.

C. Jaupart, J. C. Mareschal, L. Guillou-frottier, and A. Davaille, Heat flow and thickness of the lithosphere in the canadian shield, Journal of Geophysical Research: Solid Earth, vol.103, pp.15269-15286, 1998.
URL : https://hal.archives-ouvertes.fr/hal-00562366

R. Jeanloz and S. Morris, Is the mantle geotherm subadiabatic?, Geophysical research letters, vol.14, pp.335-338, 1987.

H. Jeffreys, Hypotheses of continental drift, Nature, vol.111, p.495, 1923.

H. Jeffreys, The rigidity of the earth's central core, Monthly notices of the Royal Astronomical Society, Geophysical supplements, vol.1, pp.372-373, 1926.

A. M. Jellinek, H. M. Gonnermann, and M. A. Richards, Plume capture by divergent plate motions: implications for the distribution of hotspots, geochemistry of mid-ocean ridge basalts, and estimates of the heat flux at the core-mantle boundary, Earth and Planetary Science Letters, vol.205, pp.361-378, 2003.

A. M. Jellinek, A. Lenardic, and M. Manga, The influence of interior mantle temperature on the structure of plumes: Heads for venus, tails for the earth, Geophysical Research Letters, vol.29, 2002.

A. M. Jellinek and M. Manga, The influence of a chemical boundary layer on the fixity, spacing and lifetime of mantle plumes, Nature, vol.418, p.760, 2002.

A. M. Jellinek and M. Manga, Links between long-lived hot spots, mantle plumes, d , and plate tectonics, Reviews of Geophysics, vol.42, 2004.

S. M. Jones, N. White, and J. Maclennan, V-shaped ridges around iceland: Implications for spatial and temporal patterns of mantle convection, Geochemistry, Geophysics, Geosystems, vol.3, pp.1-23, 2002.

T. Jones, D. Davies, I. Campbell, G. Iaffaldano, G. Yaxley et al., The concurrent emergence and causes of double volcanic hotspot tracks on the pacific plate, Nature, vol.545, pp.472-476, 2017.

T. H. Jordan, Mineralogies, densities and seismic velocities of garnet lherzolites and their geophysical implications. The Mantle Sample: Inclusion in Kimberlites and Other Volcanics, pp.1-14, 1979.

F. Jourdan, G. Féraud, H. Bertrand, A. Kampunzu, G. Tshoso et al., The karoo triple junction questioned: evidence from jurassic and proterozoic 40 ar/39 ar ages and geochemistry of the giant okavango dyke swarm (botswana), Earth and Planetary Science Letters, vol.222, pp.989-1006, 2004.
URL : https://hal.archives-ouvertes.fr/hal-00407325

M. Kaban, P. Schwintzer, and C. Reigber, A new isostatic model of the lithosphere and gravity field, Journal of Geodesy, vol.78, pp.368-385, 2004.

A. Kageyama and T. Sato, yin-yang grid": An overset grid in spherical geometry, Geochemistry, Geophysics, 2004.

S. I. Karato, D. C. Rubie, and H. Yan, Dislocation recovery in olivine under deep upper mantle conditions: Implications for creep and diffusion, Journal of Geophysical Research: Solid Earth, vol.98, pp.9761-9768, 1993.

L. H. Kellogg, B. H. Hager, and R. D. Van-der-hilst, Compositional stratification in the deep mantle, Science, vol.283, pp.1881-1884, 1999.

L. Kelvin, Dynamical Problem Regarding Elastic Spheroid Shell, Phil. Trans. Roy. Soc. London, Treatise on Natural Philosophy, vol.2, 1863.

R. A. Kerr, Plate tectonics goes back 2 billion years, Science, vol.230, pp.1364-1367, 1985.

R. C. Kerr and J. R. Lister, Rise and deflection of mantle plume tails. Geochemistry, Geophysics, Geosystems 9, 2008.

R. C. Kerr and C. Mériaux, Structure and dynamics of sheared mantle plumes. Geochemistry, Geophysics, Geosystems 5, 2004.

C. Kincaid, J. G. Schilling, and C. Gable, The dynamics of off-axis plume-ridge interaction in the uppermost mantle, Earth and Planetary Science Letters, vol.137, pp.29-43, 1996.

S. King, Mantle downwellings and the fate of subducting slabs: constraints from seismology, geoid topography, geochemistry, and petrology. Treatise of Geophysics, 2007.

S. D. King, Geoid and topography over subduction zones: The effect of phase transformations, Journal of Geophysical Research: Solid Earth, vol.107, 2002.

S. D. King, Hotspots and edge-driven convection, Geology, vol.35, pp.223-226, 2007.

S. D. King, On topography and geoid from 2-d stagnant lid convection calculations. Geochemistry, Geophysics, Geosystems 10, 2009.

S. D. King, D. J. Frost, and D. C. Rubie, Why cold slabs stagnate in the transition zone, Geology, vol.43, pp.231-234, 2015.

S. D. King, A. Raefsky, and B. H. Hager, Conman: Vectorizing a finite element code for incompressible two-dimensional convection in the earth's mantle, Physics of the Earth and Planetary Interiors, vol.59, pp.195-207, 1990.

S. D. King and J. Ritsema, African hot spot volcanism: small-scale convection in the upper mantle beneath cratons, Science, vol.290, pp.1137-1140, 2000.

R. H. Kingsley and J. G. Schilling, Plume-ridge interaction in the easter-salas y gomez seamount chain-easter microplate system: Pb isotope evidence, Journal of Geophysical Research: Solid Earth, vol.103, pp.24159-24177, 1998.

S. Kirby and A. Kronenberg, Rheology of the lithosphere: selected topics, Reviews of Geophysics, vol.25, pp.1219-1244, 1987.

A. Kircher, Mundus subterraneus. Joannem Janssonium, 1665.

E. M. Klein and C. H. Langmuir, Global correlations of ocean ridge basalt chemistry with axial depth and crustal thickness, Journal of Geophysical Research: Solid Earth, vol.92, pp.8089-8115, 1987.

E. A. Kneller and P. E. Van-keken, Trench-parallel flow and seismic anisotropy in the mariana and andean subduction systems, Nature, vol.450, p.1222, 2007.

P. Koelemeijer, A. Deuss, and J. Ritsema, Density structure of earth's lowermost mantle from stoneley mode splitting observations, Nature communications, vol.8, p.15241, 2017.

D. Kohlstedt, B. Evans, and S. Mackwell, Strength of the lithosphere: Constraints imposed by laboratory experiments, Journal of Geophysical Research: Solid Earth, vol.100, pp.17587-17602, 1995.

E. A. Koivisto, D. L. Andrews, and R. G. Gordon, Tests of fixity of the indo-atlantic hot spots relative to pacific hot spots, Journal of Geophysical Research: Solid Earth, vol.119, pp.661-675, 2014.

K. Konrad, A. A. Koppers, B. Steinberger, V. A. Finlayson, J. G. Konter et al., On the relative motions of long-lived pacific mantle plumes, Nature communications, vol.9, p.854, 2018.

A. A. Koppers, R. A. Duncan, and B. Steinberger, Implications of a nonlinear 40ar/39ar age progression along the louisville seamount trail for models of fixed and moving hot spots. Geochemistry, Geophysics, Geosystems 5, 2004.

T. Korenaga and J. Korenaga, Subsidence of normal oceanic lithosphere, apparent thermal expansivity, and seafloor flattening, Earth and Planetary Science Letters, vol.268, pp.41-51, 2008.

Z. Kowalik and T. S. Murty, Numerical modeling of ocean dynamics, vol.5, 1993.

C. Kreemer, G. Blewitt, and E. C. Klein, A geodetic plate motion and global strain rate model, Geochemistry, Geophysics, Geosystems, vol.15, pp.3849-3889, 2014.

S. Labrosse, Hotspots, mantle plumes and core heat loss, Earth and Planetary Science Letters, vol.199, pp.147-156, 2002.
URL : https://hal.archives-ouvertes.fr/hal-00599647

S. Labrosse, Core-mantle boundary, Encyclopedia of Geomagnetism and Paleomagnetism, pp.127-130, 2007.

A. H. Lachenbruch and P. Morgan, Continental extension, magmatism and elevation; formal relations and rules of thumb, Tectonophysics, vol.174, pp.39-62, 1990.

S. Lallemand, A. Heuret, and D. Boutelier, On the relationships between slab dip, back-arc stress, upper plate absolute motion, and crustal nature in subduction zones, Geochemistry, Geophysics, Geosystems, vol.6, 2005.
URL : https://hal.archives-ouvertes.fr/hal-01261567

K. Lambeck, Glacial rebound sea-level change and mantle viscosity, Quarterly Journal of the Royal Astronomical Society, vol.31, 1990.

D. Frizon-de-lamotte, B. Fourdan, S. Leleu, F. Leparmentier, and P. Clarens, Style of rifting and the stages of pangea breakup, Tectonics, vol.34, pp.1009-1029, 2015.

L. Landau and E. Lifchitz, An introduction to fluid dynamics, 1980.

N. Lapusta, J. Rice, Y. Ben-zion, and G. Zheng, Elastodynamic analysis for slow tectonic loading with spontaneous rupture episodes on faults with rate-and state-dependent friction, Journal of Geophysical Research, 2000.

G. Laske and G. Masters, A global digital map of sediment thickness, Eos Trans. AGU, vol.78, p.483, 1997.

L. Bars, M. Davaille, and A. , Whole layer convection in a heterogeneous planetary mantle, Journal of Geophysical Research: Solid Earth, vol.109, 2004.
URL : https://hal.archives-ouvertes.fr/hal-00084090

L. Stunff, Y. Ricard, and Y. , Topography and geoid due to lithospheric mass anomalies, Geophysical Journal International, vol.122, pp.982-990, 1995.
URL : https://hal.archives-ouvertes.fr/hal-02046759

L. Stunff, Y. Ricard, and Y. , Partial advection of equidensity surfaces: A solution for the dynamic topography problem, Journal of Geophysical Research: Solid Earth, vol.102, pp.24655-24667, 1997.

I. Lehmann, Travaux Scientifique, vol.14, pp.87-115, 1936.

V. Lekic, S. Cottaar, A. Dziewonski, and B. Romanowicz, Cluster analysis of global lower mantle tomography: A new class of structure and implications for chemical heterogeneity, Earth and Planetary Science Letters, vol.357, pp.68-77, 2012.

A. Lenardic and L. N. Moresi, Some thoughts on the stability of cratonic lithosphere: Effects of buoyancy and viscosity, Journal of Geophysical Research: Solid Earth, vol.104, pp.12747-12758, 1999.

W. Leng and M. Gurnis, Shape of thermal plumes in a compressible mantle with depth-dependent viscosity, Geophysical Research Letters, vol.39, 2012.

W. Leng and S. Zhong, Viscous heating, adiabatic heating and energetic consistency in compressible mantle convection, Geophysical Journal International, vol.173, pp.693-702, 2008.

M. Li and S. Zhong, The source location of mantle plumes from 3d spherical models of mantle convection, Earth and Planetary Science Letters, vol.478, pp.47-57, 2017.

X. Li, R. Kind, X. Yuan, I. Wölbern, and W. Hanka, Rejuvenation of the lithosphere by the hawaiian plume, Nature, vol.427, p.827, 2004.

X. D. Li and B. Romanowicz, Global mantle shear velocity model developed using nonlinear asymptotic coupling theory, Journal of Geophysical Research: Solid Earth, vol.101, pp.22245-22272, 1996.

S. C. Lin and P. E. Van-keken, Dynamics of thermochemical plumes: 1. plume formation and entrainment of a dense layer, Geochemistry, 2006.

S. C. Lin and P. E. Van-keken, Dynamics of thermochemical plumes: 2. complexity of plume structures and its implications for mapping mantle plumes, Geochemistry, Geophysics, Geosystems 7, 2006.

C. Lister, J. Sclater, E. Davis, H. Villinger, and S. Nagihara, Heat flow maintained in ocean basins of great age: investigations in the north-equatorial west pacific, Geophysical Journal International, vol.102, pp.603-628, 1990.

C. Lithgow-bertelloni and M. A. Richards, Cenozoic plate driving forces, Geophysical Research Letters, vol.22, pp.1317-1320, 1995.

C. Lithgow-bertelloni, M. A. Richards, Y. Ricard, R. J. O'connell, and D. C. Engebretson, Toroidal-poloidal partitioning of plate motions since 120 ma, Geophysical Research Letters, vol.20, pp.375-378, 1993.
URL : https://hal.archives-ouvertes.fr/hal-02046769

C. Lithgow-bertelloni and P. G. Silver, Dynamic topography, plate driving forces and the african superswell, Nature, vol.395, pp.269-272, 1998.

L. Liu and M. Gurnis, Simultaneous inversion of mantle properties and initial conditions using an adjoint of mantle convection, Journal of Geophysical Research: Solid Earth, vol.113, 2008.

L. Liu and M. Gurnis, Dynamic subsidence and uplift of the colorado plateau, Geology, vol.38, pp.663-666, 2010.

D. E. Loper and F. D. Stacey, The dynamical and thermal structure of deep mantle plumes, Physics of the Earth and Planetary Interiors, vol.33, pp.304-317, 1983.

D. L. Lourenco, A. Rozel, and P. J. Tackley, Melting-induced crustal production helps plate tectonics on earth-like planets, Earth and Planetary Science Letters, vol.439, pp.18-28, 2016.

J. P. Lowman, S. D. King, and C. W. Gable, The influence of tectonic plates on mantle convection patterns, temperature and heat flow, Geophysical Journal International, vol.146, pp.619-636, 2001.

D. Mainprice, A. Tommasi, H. Couvy, P. Cordier, and D. J. Frost, Pressure sensitivity of olivine slip systems and seismic anisotropy of earth's upper mantle, Nature, 2005.

A. V. Malevsky and D. A. Yuen, Plume structures in the hard-turbulent regime of three-dimensional infinite prandtl number convection, Geophysical research letters, vol.20, pp.383-386, 1993.

C. Mallard, N. Coltice, M. Seton, R. D. Müller, and P. J. Tackley, Subduction controls the distribution and fragmentation of earth's tectonic plates, Nature, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01355818

M. Manga, D. Weeraratne, and S. Morris, Boundary-layer thickness and instabilities in bénard convection of a liquid with a temperature-dependent viscosity, Physics of Fluids, vol.13, pp.802-805, 2001.

G. Masters, S. Johnson, G. Laske, and H. Bolton, A shear-velocity model of the mantle, Phil. Trans. R. Soc. Lond. A, vol.354, pp.1385-1411, 1996.

E. Mattern, J. Matas, Y. Ricard, and J. Bass, Lower mantle composition and temperature from mineral physics and thermodynamic modelling, Geophysical Journal International, vol.160, pp.973-990, 2005.
URL : https://hal.archives-ouvertes.fr/hal-00102163

S. Maus, New statistical methods in gravity and magnetics, 2001.

M. Mcelhinny, Mantle plumes, palaeomagnetism and polar wandering, Nature, vol.241, p.523, 1973.

D. Mckenzie, The initiation of trenches. Island arcs, deep sea trenches and back-arc basins, pp.57-61, 1977.

D. Mckenzie, Some remarks on the development of sedimentary basins. Earth and Planetary science letters 40, pp.25-32, 1978.

D. Mckenzie, The generation and compaction of partially molten rock, Journal of Petrology, vol.25, pp.713-765, 1984.

D. Mckenzie, The influence of dynamically supported topography on estimates of Te, Earth and Planetary Science Letters, vol.295, pp.127-138, 2010.

D. Mckenzie and M. Bickle, The volume and composition of melt generated by extension of the lithosphere, Journal of petrology, vol.29, pp.625-679, 1988.

D. Mckenzie, J. Jackson, and K. Priestley, Thermal structure of oceanic and continental lithosphere, Earth and Planetary Science Letters, vol.233, pp.337-349, 2005.

D. P. Mckenzie, Some remarks on heat flow and gravity anomalies, Journal of Geophysical Research, vol.72, pp.6261-6273, 1967.

D. P. Mckenzie, Speculations on the consequences and causes of plate motions, Geophysical Journal International, vol.18, pp.1-32, 1969.

D. P. Mckenzie, J. M. Roberts, and N. O. Weiss, Convection in the earth's mantle: towards a numerical simulation, Journal of Fluid Mechanics, vol.62, pp.465-538, 1974.

A. K. Mcnamara and S. Zhong, The influence of thermochemical convection on the fixity of mantle plumes, Earth and Planetary Science Letters, vol.222, pp.485-500, 2004.

A. K. Mcnamara and S. Zhong, Degree-one mantle convection: Dependence on internal heating and temperature-dependent rheology, Geophysical research letters, p.32, 2005.

M. Mcnutt, Temperature beneath midplate swells: The inverse problem. Seamounts, Islands, and Atolls, pp.123-132, 1987.

M. Mcnutt, Thermal and mechanical properties of the cape verde rise, Journal of Geophysical Research: Solid Earth, vol.93, pp.2784-2794, 1988.

M. K. Mcnutt, Superswells. Reviews of Geophysics, vol.36, pp.211-244, 1998.

H. Melosh and A. Raefsky, The dynamical origin of subduction zone topography, Geophysical Journal International, vol.60, pp.333-354, 1980.

L. Milelli, L. Fourel, and C. Jaupart, A lithospheric instability origin for the cameroon volcanic line, Earth and Planetary Science Letters, vol.335, pp.80-87, 2012.

J. Minster, T. Jordan, P. Molnar, and E. Haines, Numerical modelling of instantaneous plate tectonics, Geophysical Journal International, vol.36, pp.541-576, 1974.

R. N. Mitchell, T. M. Kilian, and D. A. Evans, Supercontinent cycles and the calculation of absolute palaeolongitude in deep time, Nature, vol.482, p.208, 2012.

J. Mitrovica, C. Beaumont, and G. Jarvis, Tilting of continental interiors by the dynamical effects of subduction, Tectonics, vol.8, pp.1079-1094, 1989.

J. X. Mitrovica, Haskell [1935] revisited, Journal of Geophysical Research: Solid Earth, vol.101, pp.555-569, 1996.

J. X. Mitrovica and A. M. Forte, Radial profile of mantle viscosity: results from the joint inversion of convection and postglacial rebound observables, Journal of Geophysical Research: Solid Earth, vol.102, pp.2751-2769, 1997.

A. Mohorovicic, Earthquake of, Geofyzica 9, 1909.

P. Molnar, P. C. England, and C. H. Jones, Mantle dynamics, isostasy, and the support of high terrain, Journal of Geophysical Research: Solid Earth, vol.120, pp.1932-1957, 2015.

P. Molnar and J. Francheteau, The relative motion of 'hot spots' in the atlantic and indian oceans during the cenozoic, Geophysical Journal International, vol.43, pp.763-774, 1975.

P. Molnar and J. Stock, Relative motions of hotspots in the pacific, atlantic and indian oceans since late cretaceous time, Nature, vol.327, pp.587-591, 1987.

M. Monnereau and S. Quéré, Spherical shell models of mantle convection with tectonic plates, Earth and Planetary Science Letters, vol.184, pp.575-587, 2001.

R. Montelli, G. Nolet, F. Dahlen, and G. Masters, A catalogue of deep mantle plumes: New results from finite-frequency tomography. Geochemistry, Geophysics, 2006.
URL : https://hal.archives-ouvertes.fr/hal-00407613

R. Montelli, G. Nolet, F. Dahlen, G. Masters, E. R. Engdahl et al., Finite-frequency tomography reveals a variety of plumes in the mantle, Science, vol.303, pp.338-343, 2004.

W. B. Moore, G. Schubert, and P. Tackley, Three-dimensional simulations of plume-lithosphere interaction at the hawaiian swell, Science, vol.279, pp.1008-1011, 1998.

M. Moreira, R. Doucelance, M. D. Kurz, B. Dupré, and C. J. Alì-egre, Helium and lead isotope geochemistry of the azores archipelago, Earth and Planetary Science Letters, vol.169, pp.189-205, 1999.
URL : https://hal.archives-ouvertes.fr/hal-01902219

L. N. Moresi and V. Solomatov, Numerical investigation of 2d convection with extremely large viscosity variations, Physics of Fluids, vol.7, pp.2154-2162, 1995.

W. Morgan, Rises, trenches, great faults and crustal blocks, Journal od geophysical research, vol.73, 1968.

W. J. Morgan, Convection plumes in the lower mantle, Nature, vol.230, pp.42-43, 1971.

W. J. Morgan, Plate motions and deep mantle convection, Geological Society of America Memoirs, vol.132, pp.7-22, 1972.

W. J. Morgan, Hotspot tracks and the opening of the atlantic and indian oceans. The oceanic lithosphere 7, p.443, 1981.

R. Moucha, A. M. Forte, J. X. Mitrovica, D. B. Rowley, S. Quéré et al., Dynamic topography and long-term sea-level variations: There is no such thing as a stable continental platform, Earth and Planetary Science Letters, vol.271, pp.101-108, 2008.
URL : https://hal.archives-ouvertes.fr/hal-00294835

D. C. Mudge and S. M. Jones, Palaeocene uplift and subsidence events in the scotland-shetland and north sea region and their relationship to the iceland plume, Journal of the Geological Society, vol.161, pp.381-386, 2004.

S. Mueller and R. J. Phillips, On the initiation of subduction, Journal of Geophysical Research: Solid Earth, vol.96, pp.651-665, 1991.

R. D. Müller, V. S. Lim, and A. R. Isern, Late tertiary tectonic subsidence on the northeast australian passive margin: response to dynamic topography?, Marine Geology, vol.162, pp.337-352, 2000.

R. D. Müller, W. R. Roest, J. Y. Royer, L. M. Gahagan, and J. G. Sclater, Digital isochrons of the world's ocean floor, Journal of Geophysical Research: Solid Earth, vol.102, pp.3211-3214, 1997.

R. D. Müller, J. Y. Royer, and L. A. Lawver, Revised plate motions relative to the hotspots from combined atlantic and indian ocean hotspot tracks, Geology, vol.21, pp.275-278, 1993.

R. D. Müller, M. Seton, S. Zahirovic, S. E. Williams, K. J. Matthews et al., Ocean basin evolution and global-scale plate reorganization events since pangea breakup, Annual Review of Earth and Planetary Sciences, vol.44, pp.107-138, 2016.

E. Mulyukova, B. Steinberger, M. Dabrowski, and S. V. Sobolev, Survival of llsvps for billions of years in a vigorously convecting mantle: replenishment and destruction of chemical anomaly, Journal of Geophysical Research: Solid Earth, vol.120, pp.3824-3847, 2015.

F. Murnaghan, Finite Deformation of an Elastic Solid, 1951.

J. B. Murphy and R. D. Nance, Do supercontinents introvert or extrovert?: Sm-nd isotope evidence, Geology, vol.31, pp.873-876, 2003.

S. Nakiboglu and K. Lambeck, Deglaciation effects on the rotation of the earth, Geophysical Journal International, vol.62, pp.49-58, 1980.

C. R. Neal, J. J. Mahoney, L. W. Kroenke, R. A. Duncan, and M. G. Petterson, The ontong java plateau. Large Igneous Provinces: Continental, Oceanic, and Planetary Flood Volcanism, pp.183-216

I. Newton, De Philosophiae Naturalis Principia Mathematica, 1687.

S. Ni, E. Tan, M. Gurnis, and D. Helmberger, Sharp sides to the african superplume, science, vol.296, pp.1850-1852, 2002.

C. E. Nishimura and D. W. Forsyth, The anisotropic structure of the upper mantle in the pacific, Geophysical Journal International, vol.96, pp.203-229, 1989.

Y. Niu and M. J. O'hara, Global correlations of ocean ridge basalt chemistry with axial depth: a new perspective, Journal of Petrology, vol.49, pp.633-664, 2007.

A. A. Nyblade and S. W. Robinson, The african superswell, Geophysical research letters, vol.21, pp.765-768, 1994.

R. J. O'connell, C. W. Gable, and B. H. Hager, Toroidal-poloidal partitioning of lithospheric plate motions, Glacial Isostasy, Sea-Level and Mantle Rheology, pp.535-551, 1991.

J. O'connor, W. Jokat, J. Wijbrans, and L. Colli, Hotspot tracks in the south atlantic located above bands of fast flowing asthenosphere driven by waning pulsations from the african llsvp, Gondwana Research, vol.53, pp.197-208, 2018.

J. O'connor, P. Stoffers, J. Wijbrans, P. Shannon, and T. Morrissey, Evidence from episodic seamount volcanism for pulsing of the iceland plume in the past 70 myr, Nature, vol.408, p.954, 2000.

M. Ogawa, G. Schubert, and A. Zebib, Numerical simulations of three-dimensional thermal convection in a fluid with strongly temperature-dependent viscosity, Journal of Fluid Mechanics, vol.233, pp.299-328, 1991.

Y. Ogura and N. A. Phillips, Scale analysis of deep and shallow convection in the atmosphere, Journal of the atmospheric sciences, vol.19, pp.173-179, 1962.

R. Oldham, The constitution of the interior of the earth, as revealed by earthquakes, Quaterly Journal of the Geological society, vol.62, pp.456-475, 1906.

P. Olson, Hot spots, swells and mantle plumes. Magma transport and storage, pp.33-51, 1990.

P. Olson, Mantle control of the geodynamo: Consequences of top-down regulation, Geochemistry, Geophysics, Geosystems, vol.17, pp.1935-1956, 2016.

P. Olson, G. Schubert, and C. Anderson, Plume formation in the d-layer and the roughness of the coremantle boundary, Nature, vol.327, p.409, 1987.

P. Olson, D. A. Yuen, and D. Balsiger, Mixing of passive heterogeneities by mantle convection, Journal of Geophysical Research: Solid Earth, vol.89, pp.425-436, 1984.

C. O'neill, D. Müller, and B. Steinberger, On the uncertainties in hot spot reconstructions and the significance of moving hot spot reference frames. Geochemistry, Geophysics, Geosystems 6, 2005.

E. Oxburgh and D. Turcotte, Mechanisms of continental drift, Reports on Progress in Physics, vol.41, p.1249, 1978.

I. Panet, G. Pajot-métivier, M. Greff-lefftz, L. Métivier, M. Diament et al., Mapping the mass distribution of earth's mantle using satellite-derived gravity gradients, Nature Geoscience, vol.7, p.131, 2014.

J. Parish, A. Ziegler, and C. Scotese, Rainfall patterns and the distribution of coals and evaporites in the mesozoic and cenozoic. Paleogeography, Paleoclimate, 1982.

E. Parmentier and C. Sotin, Three-dimensional numerical experiments on thermal convection in a very viscous fluid: Implications for the dynamics of a thermal boundary layer at high rayleigh number, Physics of Fluids, vol.12, pp.609-617, 2000.

E. Parmentier, D. Turcotte, and K. Torrance, Numerical experiments on the structure of mantle plumes, Journal of Geophysical Research, vol.80, pp.4417-4424, 1975.

R. Parnell-turner, N. White, T. Henstock, B. Murton, J. Maclennan et al., A continuous 55-million-year record of transient mantle plume activity beneath iceland, Nature Geoscience, vol.7, p.914, 2014.

B. Parsons and D. Mckenzie, Mantle convection and the thermal structure of the plates, Journal of Geophysical Research: Solid Earth, vol.83, pp.4485-4496, 1978.

S. Patankar, Numerical heat transfer and fluid flow, 1980.

V. Patocka, O. Cadek, P. J. Tackley, and H. Cizkova, Stress memory effect in viscoelastic stagnant lid convection, Geophysical Journal International, vol.209, pp.1462-1475, 2017.

N. K. Pavlis, S. A. Holmes, S. C. Kenyon, and J. K. Factor, The development and evaluation of the earth gravitational model 2008 (egm2008), Journal of geophysical research, p.117, 2012.

J. R. Pearson, On convection cells induced by surface tension, J. Fluid Mech, vol.4, pp.489-500, 1958.

C. L. Pekeris, Thermal convection in the interior of the earth, Geophysical Journal International, vol.3, pp.343-367, 1935.

W. Peltier, The thickness of the continental lithosphere, Journal of Geophysical Research: Solid Earth, vol.89, pp.11303-11316, 1984.

K. D. Petersen, S. Nielsen, O. Clausen, R. Stephenson, and T. Gerya, Small-scale mantle convection produces stratigraphic sequences in sedimentary basins, Science, vol.329, pp.827-830, 2010.

J. Phipps-morgan, W. J. Morgan, and E. Price, Hotspot melting generates both hotspot volcanism and a hotspot swell, Journal of Geophysical Research: Solid Earth, vol.100, pp.8045-8062, 1995.

B. Picart, Temple of the Muses or the Principle Histories of fabulous Antiquity, p.1733

S. Pilidou, K. Priestley, E. Debayle, and O. Gudmundsson, Rayleigh wave tomography in the north atlantic: high resolution images of the iceland, azores and eifel mantle plumes, Lithos, vol.79, pp.453-474, 2005.

L. Pinto-ribeiro, S. Martins, A. Hildenbrand, P. Madureira, and J. Mata, The genetic link between the azores archipelago and the southern azores seamount chain (sasc): The elemental, isotopic and chronological evidences, Lithos, vol.294, pp.133-146, 2017.

H. N. Pollack, S. J. Hurter, and J. R. Johnson, Heat flow from the earth's interior: analysis of the global data set, Reviews of Geophysics, vol.31, pp.267-280, 1993.

H. Poore, N. White, and S. Jones, A neogene chronology of iceland plume activity from v-shaped ridges, Earth and Planetary Science Letters, vol.283, pp.1-13, 2009.

A. Popov and S. Sobolev, Slim3d: A tool for three-dimensional thermomechanical modeling of lithospheric deformation with elasto-visco-plastic rheology, Physics of the Earth and Planetary Interiors, vol.171, pp.55-75, 2008.
URL : https://hal.archives-ouvertes.fr/hal-00532141

J. Pratt, On the deflection of the plumb-line in india, caused by the attraction of the himalaya mountains and of elevated regins beyond; and its modification by the compensating effect of a deficiency of matter below the mountain mass, Philosophical Transactions of the Royal Society of London, vol.149, 1959.

D. C. Presnall, G. H. Gudfinnsson, and M. J. Walter, Generation of mid-ocean ridge basalts at pressures from 1 to 7 gpa, Geochimica et Cosmochimica Acta, vol.66, pp.2073-2090, 2002.

D. Pritchard, G. Roberts, N. White, and C. Richardson, Uplift histories from river profiles, Geophysical Research Letters, vol.36, 2009.

K. D. Putirka, Mantle potential temperatures at hawaii, iceland, and the mid-ocean ridge system, as inferred from olivine phenocrysts: Evidence for thermally driven mantle plumes. Geochemistry, Geophysics, Geosystems 6, 2005.

L. J. Rayleigh, On convection currents in a horizontal layer of fluid, when the higher temperature is on the underside, Philosophical Magazine, vol.32, 1916.

C. A. Raymond, J. M. Stock, and S. C. Cande, Fast Paleogene motion of the Pacific hotspots from revised global plate circuit constraints, 2000.

P. R. Renne, M. T. Black, Z. Zichao, M. A. Richards, and A. R. Basu, Synchrony and causal relations between permian-triassic boundary crises and siberian flood volcanism, Science, vol.269, pp.1413-1416, 1995.

P. F. Rey, N. Coltice, and N. Flament, Spreading continents kick-started plate tectonics, Nature, vol.513, p.405, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01355759

N. Ribe, The dynamics of plume-ridge interaction: 2. off-ridge plumes, Journal of Geophysical Research: Solid Earth, vol.101, pp.16195-16204, 1996.

N. Ribe and U. Christensen, Three-dimensional modeling of plume-lithosphere interaction, Journal of Geophysical Research: Solid Earth, vol.99, pp.669-682, 1994.

N. Ribe and U. Christensen, The dynamical origin of hawaiian volcanism, Earth and Planetary Science Letters, vol.171, pp.517-531, 1999.

N. Ribe, U. Christensen, and J. Theissing, The dynamics of plume-ridge interaction, 1: Ridge-centered plumes, Earth and Planetary Science Letters, vol.134, pp.155-168, 1995.

Y. Ricard, Physics of mantle convection. Treatise of Geophysics, 2007.
URL : https://hal.archives-ouvertes.fr/hal-00337506

Y. Ricard, Physics of mantle convection. Treatise of Geophysics, pp.23-71, 2015.
URL : https://hal.archives-ouvertes.fr/hal-00337506

Y. Ricard, C. Doglioni, and R. Sabadini, Differential rotation between lithosphere and mantle: a consequence of lateral mantle viscosity variations, Journal of Geophysical Research: Solid Earth, vol.96, pp.8407-8415, 1991.
URL : https://hal.archives-ouvertes.fr/hal-02046601

Y. Ricard, L. Fleitout, and C. Froidevaux, Geoid heights and lithospheric stresses for a dynamic earth, Annales Geophysicae, pp.267-286, 1984.
URL : https://hal.archives-ouvertes.fr/hal-02013128

Y. Ricard, M. Richards, C. Lithgow-bertelloni, and Y. Le-stunff, A geodynamic model of mantle density heterogeneity, Journal of Geophysical Research: Solid Earth, vol.98, pp.21895-21909, 1993.
URL : https://hal.archives-ouvertes.fr/hal-02046765

Y. Ricard and C. Vigny, Mantle dynamics with induced plate tectonics, Journal of Geophysical Research: Solid Earth, vol.94, pp.17543-17559, 1989.
URL : https://hal.archives-ouvertes.fr/hal-02046608

Y. Ricard and B. Wuming, Inferring the viscosity and the 3-d density structure of the mantle from geoid, topography and plate velocities, Geophysical Journal International, vol.105, pp.561-571, 1991.
URL : https://hal.archives-ouvertes.fr/hal-02046602

M. A. Richards, Hotspots and the case for a high viscosity lower mantle, Glacial Isostasy, Sea-Level and Mantle Rheology, pp.571-587, 1991.

M. A. Richards and R. W. Griffiths, Deflection of plumes by mantle shear flow: experimental results and a simple theory, Geophysical Journal International, vol.94, pp.367-376, 1988.

M. A. Richards and B. H. Hager, Geoid anomalies in a dynamic earth, Journal of Geophysical Research: Solid Earth, vol.89, pp.5987-6002, 1984.

M. A. Richards and C. Lithgow-bertelloni, Plate motion changes, the hawaiian-emperor bend, and the apparent success and failure of geodynamic models, Earth and Planetary Science Letters, vol.137, pp.19-27, 1996.

M. A. Richards, W. S. Yang, J. R. Baumgardner, and H. P. Bunge, Role of a low-viscosity zone in stabilizing plate tectonics: Implications for comparative terrestrial planetology. Geochemistry, Geophysics, Geosystems 2, 2001.

F. M. Richter and D. P. Mckenzie, On some consequences and possible causes of layered mantle convection, Journal of Geophysical Research: Solid Earth, vol.86, pp.6133-6142, 1981.

J. Ritsema, A. Deuss, H. Van-heijst, and J. Woodhouse, S40rts: a degree-40 shear-velocity model for the mantle from new rayleigh wave dispersion, teleseismic traveltime and normal-mode splitting function measurements, Geophysical Journal International, vol.184, pp.1223-1236, 2011.

G. G. Roberts, J. D. Paul, N. White, and J. Winterbourne, Temporal and spatial evolution of dynamic support from river profiles: a framework for madagascar, 2012.

T. Rolf, N. Coltice, and P. Tackley, Statistical cyclicity of the supercontinent cycle, Geophysical Research Letters, vol.41, pp.2351-2358, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01349437

M. Romano and R. L. Cifelli, 100 years of continental drift, Science, vol.350, pp.915-916, 2015.

H. Rossby, On thermal convection driven by non-uniform heating from below: an experimental study, Deep Sea Research and Oceanographic Abstracts, pp.9-16, 1965.

D. B. Rowley, Rate of plate creation and destruction: 180 ma to present, Geological Society of America Bulletin, vol.114, pp.927-933, 2002.

D. B. Rowley, A. M. Forte, R. Moucha, J. X. Mitrovica, N. A. Simmons et al., Dynamic topography change of the eastern united states since 3 million years ago, Science, vol.340, pp.1560-1563, 2013.

L. H. Royden and L. Husson, Trench motion, slab geometry and viscous stresses in subduction systems, Geophysical Journal International, vol.167, pp.881-905, 2006.

A. Rozel, G. Golabek, C. Jain, P. Tackley, and T. Gerya, Continental crust formation on early earth controlled by intrusive magmatism, Nature, vol.545, p.332, 2017.

M. Rubey, S. Brune, C. Heine, D. R. Davies, S. E. Williams et al., Global patterns in earth's dynamic topography since the jurassic: the role of subducted slabs, Solid Earth, vol.8, p.899, 2017.

M. L. Rudolph, V. Leki´cleki´c, and C. Lithgow-bertelloni, Viscosity jump in earth's mid-mantle, Science, vol.350, pp.1349-1352, 2015.

S. Runcorn, Rock magnetization, Science, vol.129, 1959.

S. Runcorn, Flow in the mantle inferred from the low degree harmonics of the geopotential, Geophysical Journal International, vol.14, pp.375-384, 1967.

T. Ryberg, C. Haberland, T. Haberlau, M. H. Weber, K. Bauer et al., Crustal structure of northwest namibia: Evidence for plume-rift-continent interaction, Geology, vol.43, pp.739-742, 2015.

C. A. Rychert, N. Harmon, and J. J. Armitage, Seismic imaging of thickened lithosphere resulting from plume pulsing beneath iceland. Geochemistry, Geophysics, Geosystems, 2018.

H. Samuel and D. Bercovici, Oscillating and stagnating plumes in the earth's lower mantle, Earth and Planetary Science Letters, vol.248, pp.90-105, 2006.

M. Sandiford, The tilting continent: a new constraint on the dynamic topographic field from australia, Earth and Planetary Science Letters, vol.261, pp.152-163, 2007.

M. Sandiford, D. D. Coblentz, and R. M. Richardson, Ridge torques and continental collision in the indianaustralian plate, Geology, vol.23, pp.653-656, 1995.
DOI : 10.1130/0091-7613(1995)023<0653:rtacci>2.3.co;2

D. T. Sandwell and G. Schubert, Evidence for retrograde lithospheric subduction on venus, Science, vol.257, pp.766-770, 1992.
DOI : 10.1126/science.257.5071.766

URL : http://hdl.handle.net/2060/19930005179

W. Schellart and W. Spakman, Mantle constraints on the plate tectonic evolution of the tonga-kermadechikurangi subduction zone and the south fiji basin region, Australian Journal of Earth Sciences, vol.59, pp.933-952, 2012.

W. Schellart, D. Stegman, and J. Freeman, Global trench migration velocities and slab migration induced upper mantle volume fluxes: Constraints to find an earth reference frame based on minimizing viscous dissipation, Earth-Science Reviews, vol.88, pp.118-144, 2008.
DOI : 10.1016/j.earscirev.2008.01.005

J. G. Schilling, Fluxes and excess temperatures of mantle plumes inferred from their interaction with migrating mid-ocean ridges, Nature, vol.352, p.397, 1991.

S. Schmalholz, Y. Podladchikov, and D. Schmid, A spectral/finite difference method for simulating large deformations of heterogeneous, viscoelastic materials, Geophysical Journal International, 2001.

H. Schmeling, Compressible convection with constant and variable viscosity: The effect on slab formation, geoid, and topography, Journal of Geophysical Research: Solid Earth, vol.94, pp.12463-12481, 1989.
DOI : 10.1029/jb094ib09p12463

C. Schoonman, N. White, and D. Pritchard, Radial viscous fingering of hot asthenosphere within the icelandic plume beneath the north atlantic ocean, Earth and Planetary Science Letters, vol.468, pp.51-61, 2017.

G. Schubert, P. Olson, C. Anderson, and P. Goldman, Solitary waves in mantle plumes, Journal of Geophysical Research: Solid Earth, vol.94, pp.9523-9532, 1989.
DOI : 10.1029/jb094ib07p09523

G. Schubert, D. Turcotte, and P. Olson, Mantle convection in the Earth and planets, 2001.

J. Sclater, C. Jaupart, and D. Galson, The heat flow through oceanic and continental crust and the heat loss of the earth, Reviews of Geophysics, vol.18, pp.269-311, 1980.

A. Sembroni, A. Kiraly, C. Faccenna, F. Funiciello, T. W. Becker et al., Impact of the lithosphere on dynamic topography: Insights from analogue modeling, Geophysical Research Letters, vol.44, pp.2693-2702, 2017.

W. D. Sharp and D. A. Clague, 50-ma initiation of hawaiian-emperor bend records major change in pacific plate motion, Science, vol.313, pp.1281-1284, 2006.

Y. Shen and D. W. Forsyth, Geochemical constraints on initial and final depths of melting beneath mid-ocean ridges, Journal of Geophysical Research: Solid Earth, vol.100, pp.2211-2237, 1995.

I. Sidorin and M. Gurnis, Geodynamically consistent seismic velocity predictions at the base of the mantle. The core-mantle boundary region, pp.209-230, 1998.

G. Silveira, E. Stutzmann, A. Davaille, J. P. Montagner, L. Mendes-victor et al., Azores hotspot signature in the upper mantle, Journal of Volcanology and Geothermal Research, vol.156, pp.23-34, 2006.
URL : https://hal.archives-ouvertes.fr/hal-00271098

N. H. Sleep, Hotspots and mantle plumes: Some phenomenology, Journal of Geophysical Research: Solid Earth, vol.95, pp.6715-6736, 1990.

N. H. Sleep, Hotspot volcanism and mantle plumes, Annual Review of Earth and Planetary Sciences, vol.20, pp.19-43, 1992.

J. Smallwood and R. White, Ridge-plume interaction in the north atlantic and its influence on continental breakup and seafloor spreading, Special Publications, vol.197, pp.15-37, 2002.

J. R. Smallwood and C. E. Gill, The rise and fall of the faroe-shetland basin: evidence from seismic mapping of the balder formation, Journal of the Geological Society, vol.159, pp.627-630, 2002.

W. H. Smith and D. T. Sandwell, Global sea floor topography from satellite altimetry and ship depth soundings, Science, vol.277, pp.1956-1962, 1997.

P. K. Smolarkiewicz and L. G. Margolin, Mpdata: A finite-difference solver for geophysical flows, Journal of Computational Physics, vol.140, pp.459-480, 1998.

S. V. Sobolev, A. V. Sobolev, D. V. Kuzmin, N. A. Krivolutskaya, A. G. Petrunin et al., Linking mantle plumes, large igneous provinces and environmental catastrophes, Nature, vol.477, p.312, 2011.
URL : https://hal.archives-ouvertes.fr/insu-00645558

L. P. Solheim and W. Peltier, Avalanche effects in phase transition modulated thermal convection: A model of earth's mantle, Journal of Geophysical Research: Solid Earth, vol.99, pp.6997-7018, 1994.

V. Solomatov, Initiation of subduction by small-scale convection, Journal of Geophysical Research: Solid Earth, vol.109, 2004.

V. Solomatov and L. N. Moresi, Stagnant lid convection on venus, Journal of Geophysical Research: Planets, vol.101, pp.4737-4753, 1996.

V. Solomatov and L. N. Moresi, Scaling of time-dependent stagnant lid convection: Application to smallscale convection on earth and other terrestrial planets, Journal of Geophysical Research: Solid Earth, vol.105, pp.21795-21817, 2000.

C. Sotin and S. Labrosse, Three-dimensional thermal convection in an iso-viscous, infinite prandtl number fluid heated from within and from below: applications to the transfer of heat through planetary mantles, Physics of the Earth and Planetary Interiors, vol.112, pp.171-190, 1999.

C. Sotin and E. Parmentier, Dynamical consequences of compositional and thermal density stratification beneath spreading centers, Geophysical Research Letters, vol.16, pp.835-838, 1989.

E. Sparrow, R. Husar, and R. Goldstein, Observations and other characteristics of thermals, Journal of Fluid Mechanics, vol.41, pp.793-800, 1970.

S. Spasojevic and M. Gurnis, Sea level and vertical motion of continents from dynamic earth models since the late cretaceous, AAPG bulletin, vol.96, pp.2037-2064, 2012.

W. Spence, The aleutian arc: tectonic blocks, episodic subduction, strain diffusion, and magma generation, Journal of Geophysical Research, vol.82, pp.213-230, 1977.

G. Stadler, M. Gurnis, C. Burstedde, L. C. Wilcox, L. Alisic et al., The dynamics of plate tectonics and mantle flow: From local to global scales, science, vol.329, pp.1033-1038, 2010.

C. A. Stein and S. Stein, A model for the global variation in oceanic depth and heat flow with lithospheric age, Nature, vol.359, p.123, 1992.

C. A. Stein and S. Stein, Constraints on pacific midplate swells from global depth-age and heat flow-age models. The Mesozoic Pacific: geology, tectonics, and volcanism, pp.53-76, 1993.

V. Steinbach, U. Hansen, and A. Ebel, Compressible convection in the earth's mantle: a comparison of different approaches, Geophysical Research Letters, vol.16, pp.633-636, 1989.

B. Steinberger, Plumes in a convecting mantle: Models and observations for individual hotspots, Journal of Geophysical Research: Solid Earth, vol.105, pp.11127-11152, 2000.

B. Steinberger, Effects of latent heat release at phase boundaries on flow in the earth's mantle, phase boundary topography and dynamic topography at the earth's surface, Physics of the Earth and Planetary Interiors, vol.164, 2007.

B. Steinberger, Topography caused by mantle density variations: Observation-based estimates and models derived from tomography and lithosphere thickness. Geophysical Supplements to the, Monthly Notices of the Royal Astronomical Society, vol.205, pp.604-621, 2016.

B. Steinberger and M. Antretter, Conduit diameter and buoyant rising speed of mantle plumes: Implications for the motion of hot spots and shape of plume conduits, Geochemistry, 2006.

B. Steinberger, C. P. Conrad, A. O. Tutu, and M. J. Hoggard, On the amplitude of dynamic topography at spherical harmonic degree two, 2017.

B. Steinberger and R. J. O&apos;connell, Advection of plumes in mantle flow: implications for hotspot motion, mantle viscosity and plume distribution, Geophysical Journal International, vol.132, pp.412-434, 1998.

B. Steinberger and R. J. O&apos;connell, Effects of mantle flow on hotspot motion. The History and Dynamics of Global Plate Motions, pp.377-398, 2000.

B. Steinberger and R. J. O&apos;connell, The convective mantle flow signal in rates of true polar wander. Ice Sheets, Sea Level and the Dynamic Earth, Geodyn. Ser, vol.29, pp.233-256, 2002.

B. Steinberger, R. Sutherland, and R. J. O&apos;connell, Prediction of emperor-hawaii seamount locations from a revised model of global plate motion and mantle flow, Nature, vol.430, p.167, 2004.

B. Steinberger and T. H. Torsvik, Absolute plate motions and true polar wander in the absence of hotspot tracks, Nature, vol.452, p.620, 2008.

B. Steinberger and T. H. Torsvik, A geodynamic model of plumes from the margins of large low shear velocity provinces. Geochemistry, Geophysics, Geosystems 13, 2012.

R. J. Stern, Subduction initiation: spontaneous and induced, Earth and Planetary Science Letters, vol.226, pp.275-292, 2004.

R. J. Stern and T. Gerya, Subduction initiation in nature and models: A review, 2017.

J. Stock and P. Molnar, Uncertainties and implications of the late cretaceous and tertiary position of north america relative to the farallon, kula, and pacific plates, Tectonics, vol.7, pp.1339-1384, 1988.

B. C. Storey, The role of mantle plumes in continental breakup: case histories from gondwanaland, Nature, vol.377, p.301, 1995.

W. J. Su, R. L. Woodward, and A. M. Dziewonski, Degree 12 model of shear velocity heterogeneity in the mantle, Journal of Geophysical Research: Solid Earth, vol.99, pp.6945-6980, 1994.

E. Suess, The face of the earth (trans. of das antlitz der erde, 1885-1909), 1904.

P. J. Tackley, Self-consistent generation of tectonic plates in three-dimensional mantle convection, Earth and Planetary Science Letters, vol.157, pp.9-22, 1998.

P. J. Tackley, Self-consistent generation of tectonic plates in time-dependent, three-dimensional mantle convection simulations, Geochemistry, Geophysics, Geosystems, vol.1, 2000.

P. J. Tackley, Modelling compressible mantle convection with large viscosity contrasts in a threedimensional spherical shell using the yin-yang grid, Physics of the Earth and Planetary Interiors, vol.171, pp.7-18, 2008.

P. J. Tackley and S. D. King, Testing the tracer ratio method for modeling active compositional fields in mantle convection simulations. Geochemistry, Geophysics, Geosystems 4, 2003.

P. J. Tackley, D. J. Stevenson, G. A. Glatzmaier, and G. Schubert, Effects of an endothermic phase transition at 670 km depth in a spherical model of convection in the earth's mantle, Nature, vol.361, p.699, 1993.

P. J. Tackley, D. J. Stevenson, G. A. Glatzmaier, and G. Schubert, Effects of multiple phase transitions in a three-dimensional spherical model of convection in earth's mantle, Journal of Geophysical Research: Solid Earth, vol.99, pp.15877-15901, 1994.

E. Tan, W. Leng, S. Zhong, and M. Gurnis, On the location of plumes and lateral movement of thermochemical structures with high bulk modulus in the 3-d compressible mantle, Geochemistry, Geophysics, Geosystems, vol.12, 2011.

J. Tarduno, H. P. Bunge, N. Sleep, and U. Hansen, The bent hawaiian-emperor hotspot track: Inheriting the mantle wind, Science, vol.324, pp.50-53, 2009.

J. Tarduno, W. Sliter, L. Kroenke, M. Leckie, H. Mayer et al., Rapid formation of ontong java plateau by aptian mantle plume volcanism, Science, vol.254, pp.399-403, 1991.

J. A. Tarduno and R. D. Cottrell, Paleomagnetic evidence for motion of the hawaiian hotspot during formation of the emperor seamounts, Earth and Planetary Science Letters, vol.153, pp.171-180, 1997.

J. A. Tarduno, R. A. Duncan, D. W. Scholl, R. D. Cottrell, B. Steinberger et al., The emperor seamounts: Southward motion of the hawaiian hotspot plume in earth's mantle, Science, vol.301, pp.1064-1069, 2003.

R. Thibaud, P. Gente, and M. Maia, A systematic analysis of the mid-atlantic ridge morphology and gravity between 15 n and 40 n: Constraints of the thermal structure, Journal of Geophysical Research: Solid Earth, vol.103, pp.24223-24243, 1998.

M. Thielmann and B. J. Kaus, Shear heating induced lithospheric-scale localization: Does it result in subduction?, Earth and Planetary Science Letters, vol.359, pp.1-13, 2012.

M. Thielmann, B. J. Kaus, and A. A. Popov, Lithospheric stresses in rayleigh-bénard convection: effects of a free surface and a viscoelastic maxwell rheology. Geophysical Supplements to the, Monthly Notices of the Royal Astronomical Society, vol.203, pp.2200-2219, 2015.

C. Thoraval and M. A. Richards, The geoid constraint in global geodynamics: viscosity structure, mantle heterogeneity models and boundary conditions, Geophysical Journal International, vol.131, pp.1-8, 1997.

M. S. Thorne and E. J. Garnero, Inferences on ultralow-velocity zone structure from a global analysis of spdks waves, Journal of Geophysical Research: Solid Earth, vol.109, 2004.

K. Torrance and D. Turcotte, Thermal convection with large viscosity variations, Journal of Fluid Mechanics, vol.47, pp.113-125, 1971.

T. Torsvik, R. Van-der-voo, and T. Redfield, Relative hotspot motions versus true polar wander, Earth and Planetary Science Letters, vol.202, pp.185-200, 2002.

T. H. Torsvik, K. Burke, B. Steinberger, S. J. Webb, and L. D. Ashwal, Diamonds sampled by plumes from the core-mantle boundary, Nature, vol.466, p.352, 2010.

T. H. Torsvik, P. V. Doubrovine, B. Steinberger, C. Gaina, W. Spakman et al., Pacific plate motion change caused the hawaiian-emperor bend, Nature Communications, vol.8, p.15660, 2017.

T. H. Torsvik, R. D. Müller, R. Van-der-voo, B. Steinberger, and C. Gaina, Global plate motion frames: toward a unified model, Reviews of geophysics, vol.46, 2008.

T. H. Torsvik, M. A. Smethurst, K. Burke, and B. Steinberger, Long term stability in deep mantle structure: Evidence from the?300the?300 ma skagerrak-centered large igneous province (the sclip), Earth and Planetary Science Letters, vol.267, pp.444-452, 2008.

T. H. Torsvik, B. Steinberger, L. R. Cocks, and K. Burke, Longitude: linking earth's ancient surface to its deep interior, Earth and Planetary Science Letters, vol.276, pp.273-282, 2008.

T. H. Torsvik, R. Van-der-voo, P. V. Doubrovine, K. Burke, B. Steinberger et al., Deep mantle structure as a reference frame for movements in and on the earth, Proceedings of the National Academy of Sciences, vol.111, pp.8735-8740, 2014.

T. H. Torsvik, R. Van-der-voo, U. Preeden, C. Mac-niocaill, B. Steinberger et al., Phanerozoic polar wander, palaeogeography and dynamics, Earth-Science Reviews, vol.114, pp.325-368, 2012.

N. Tosi, D. A. Yuen, N. De-koker, and R. M. Wentzcovitch, Mantle dynamics with pressure-and temperaturedependent thermal expansivity and conductivity, Physics of the Earth and Planetary Interiors, vol.217, pp.48-58, 2013.

J. Toth and M. Gurnis, Dynamics of subduction initiation at preexisting fault zones, Journal of Geophysical Research: Solid Earth, vol.103, pp.18053-18067, 1998.

B. E. Tucholke and N. C. Smoot, Evidence for age and evolution of corner seamounts and great meteor seamount chain from multibeam bathymetry, Journal of Geophysical Research: Solid Earth, vol.95, pp.17555-17569, 1990.

D. Turcotte and E. Oxburgh, Finite amplitude convective cells and continental drift, Journal of Fluid Mechanics, vol.28, pp.29-42, 1967.

D. Turcotte and G. Schubert, Geodynamics, 2014.

D. Turcotte, K. Torrance, and A. Hsui, Convection in the earth's mantle, Methods in Computational Physics, vol.13, pp.431-454, 1973.

A. O. Tutu, B. Steinberger, S. V. Sobolev, I. Rogozhina, and A. A. Popov, Effects of upper mantle heterogeneities on the lithospheric stress field and dynamic topography, Solid Earth, vol.9, p.649, 2018.

K. Ueda, T. Gerya, and S. V. Sobolev, Subduction initiation by thermal-chemical plumes: numerical studies, Physics of the Earth and Planetary Interiors, vol.171, pp.296-312, 2008.

D. G. Van-der-meer, W. Spakman, D. J. Van-hinsbergen, M. L. Amaru, and T. H. Torsvik, Towards absolute plate motions constrained by lower-mantle slab remnants, Nature Geoscience, vol.3, p.36, 2010.

Y. Van-dinther, T. V. Gerya, L. A. Dalguer, P. M. Mai, G. Morra et al., The seismic cycle at subduction thrusts: Insights from seismo-thermo-mechanical models, Journal of Geophysical Research: Solid Earth, vol.118, pp.6183-6202, 2013.

H. Van-heck and P. Tackley, Planforms of self-consistently generated plates in 3d spherical geometry, Geophysical Research Letters, vol.35, 2008.

P. Van-keken, S. King, H. Schmeling, U. Christensen, D. Neumeister et al., A comparison of methods for the modeling of thermochemical convection, Journal of Geophysical Research: Solid Earth, vol.102, pp.22477-22495, 1997.

J. Van-summeren, C. P. Conrad, and C. Lithgow-bertelloni, The importance of slab pull and a global asthenosphere to plate motions, Geochemistry, Geophysics, Geosystems 13, 2012.

F. A. Vening-meinesz, Gravity over the Hawaiian Archipelago and over the Madeira area; conclusions about the Earth's crust, Proceedings of the Koninklijke Nederlandse Academie, 1941.

J. Verne, Voyage au centre de la Terre, 1864.

F. Vine and D. Matthews, Magnetic anomalies over oceanic ridges, Nature, 1963.

P. Vogt, On the applicability of thermal conduction models to mid-plate volcanism, Journal of Geophysical Research: Solid Earth, vol.86, pp.950-960, 1981.

P. Vogt, G. Johnson, T. Holcombe, J. Gilg, and O. Avery, Episodes of sea-floor spreading recorded by the north atlantic basement, Tectonophysics, vol.12, pp.211-234, 1971.

P. R. Vogt, Plumes, subaxial pipe flow, and topography along the mid-oceanic ridge, Earth and Planetary Science Letters, vol.29, pp.309-325, 1976.

P. R. Vogt and W. Y. Jung, The "azores geosyndrome" and plate tectonics: Research history, synthesis, and unsolved puzzles, pp.27-56, 2018.

V. Rebeur-paschwitz and E. , 1889. The earthquake of tokio, Nature, 1889.

R. Walcott, Flexural rigidity, thickness, and viscosity of the lithosphere, Journal of Geophysical Research, vol.75, pp.3941-3954, 1970.

P. J. Wallace, Water and partial melting in mantle plumes: Inferences from the dissolved h2o concentrations of hawaiian basaltic magmas, Geophysical Research Letters, vol.25, pp.3639-3642, 1998.

S. Wang and R. Wang, Current plate velocities relative to hotspots: implications for hotspot motion, mantle viscosity and global reference frame, Earth and Planetary Science Letters, vol.189, pp.133-140, 2001.

S. Wang, H. Yu, Q. Zhang, and Y. Zhao, Absolute plate motions relative to deep mantle plumes, Earth and Planetary Science Letters, vol.490, pp.88-99, 2018.

T. Wang, J. Lin, B. Tucholke, and Y. J. Chen, Crustal thickness anomalies in the north atlantic ocean basin from gravity analysis, Geochemistry, Geophysics, Geosystems, vol.12, 2011.

C. E. Watkins and C. P. Conrad, Constraints on dynamic topography from asymmetric subsidence of the mid-ocean ridges, Earth and Planetary Science Letters, vol.484, pp.264-275, 2018.

A. B. Watts, Isostasy and Flexure of the Lithosphere, 2001.

A. B. Watts and G. Schubert, Treatise on geophysics. 6. Crust and lithosphere dynamics, 2007.

J. Weertman and J. R. Weertman, High temperature creep of rock and mantle viscosity, Annual Review of Earth and Planetary Sciences, vol.3, pp.293-315, 1975.

A. Wegener, Originally published as Die Entstehung der Kontinente und Ozeane, Trans. JGA Skerl, 1922.

R. J. Weimer, Rates of deltaic sedimentation and intrabasin deformation, upper cretaceous of rocky mountain region. Deltaic Sedimentation, Modern and Ancient, 1970.

S. A. Weinstein and P. Olson, Planforms in thermal convection with internal heat sources at large rayleigh and prandtl numbers, Geophysical Research Letters, vol.17, pp.239-242, 1990.

S. A. Weinstein and P. L. Olson, The proximity of hotspots to convergent and divergent plate boundaries, Geophysical Research Letters, vol.16, pp.433-436, 1989.

S. A. Weinstein and P. L. Olson, Thermal convection with non-newtonian plates, Geophysical Journal International, vol.111, pp.515-530, 1992.

L. Wen, P. Silver, D. James, and R. Kuehnel, Seismic evidence for a thermo-chemical boundary at the base of the earth's mantle, Earth and Planetary Science Letters, vol.189, pp.141-153, 2001.

P. Wesseling and C. W. Oosterlee, Geometric multigrid with applications to computational fluid dynamics, Partial Differential Equations, pp.311-334, 2001.

S. A. Whattam and R. J. Stern, Late cretaceous plume-induced subduction initiation along the southern margin of the caribbean and nw south america: The first documented example with implications for the onset of plate tectonics, Gondwana Research, vol.27, pp.38-63, 2015.

N. White and B. Lovell, Measuring the pulse of a plume with the sedimentary record, Nature, vol.387, p.888, 1997.

R. White, , vol.10, 1989.

R. White and D. Mckenzie, Mantle plumes and flood basalts, Journal of Geophysical Research: Solid Earth, vol.100, pp.17543-17585, 1995.
DOI : 10.1029/95jb01585

J. Whitehead, Moving heaters as a model of continental drift, Physics of the Earth and Planetary Interiors, vol.5, pp.199-212, 1972.

J. A. Whitehead, Instabilities of fluid conduits in a flowing earth-are plates lubricated by the asthenosphere?, Geophysical Journal International, vol.70, pp.415-433, 1982.

J. A. Whitehead, Convection models: Laboratory versus mantle, Tectonophysics, vol.35, pp.215-228, 1976.
DOI : 10.1016/0040-1951(76)90039-1

J. Whittaker, J. Afonso, S. Masterton, R. Müller, P. Wessel et al., Long-term interaction between mid-ocean ridges and mantle plumes, Nature Geoscience, vol.8, pp.479-483, 2015.
DOI : 10.1038/ngeo2437

S. Williams, N. Flament, R. D. Müller, and N. Butterworth, Absolute plate motions since 130 ma constrained by subduction zone kinematics, Earth and Planetary Science Letters, vol.418, pp.66-77, 2015.
DOI : 10.1016/j.epsl.2015.02.026

URL : http://ro.uow.edu.au/cgi/viewcontent.cgi?article=5223&context=smhpapers

D. S. Wilson and R. N. Hey, History of rift propagation and magnetization intensity for the cocos-nazca sspreading center, Journal of Geophysical Research: Solid Earth, vol.100, pp.10041-10056, 1995.

J. T. Wilson, A possible origin of the hawaiian islands, Canadian Journal of Physics, vol.41, pp.863-870, 1963.

J. T. Wilson, Did the atlantic close and then re-open?, Nature, vol.211, pp.676-681, 1966.

J. Winterbourne, N. White, and A. Crosby, Accurate measurements of residual topography from the oceanic realm, Tectonics, vol.33, pp.982-1015, 2014.

T. Worsley, R. Nance, and J. Moody, Plate tectonic episodicity: a deterministic model for periodic "pangeas, Eos, Transactions of the American Geophysical Union, vol.65, 1104.

T. R. Worsley, D. Nance, and J. B. Moody, Global tectonics and eustasy for the past 2 billion years, Marine Geology, vol.58, pp.373-400, 1984.
DOI : 10.1016/0025-3227(84)90209-3

N. M. Wright, R. D. Müller, M. Seton, and S. E. Williams, Revision of paleogene plate motions in the pacific and implications for the hawaiian-emperor bend, Geology, vol.43, pp.455-458, 2015.

T. Yang and M. Gurnis, Dynamic topography, gravity and the role of lateral viscosity variations from inversion of global mantle flow, Geophysical Journal International, vol.207, pp.1186-1202, 2016.

T. Yang, L. Moresi, R. D. Müller, and M. Gurnis, Oceanic residual topography agrees with mantle flow predictions at long wavelengths, Geophysical Research Letters, vol.44, p.906, 2017.
DOI : 10.1002/2017gl074800

URL : https://authors.library.caltech.edu/82614/1/Yang_et_al-2017-Geophysical_Research_Letters.pdf

T. Yang, Y. Shen, S. Van-der-lee, S. C. Solomon, and S. H. Hung, Upper mantle structure beneath the azores hotspot from finite-frequency seismic tomography, Earth and Planetary Science Letters, vol.250, pp.11-26, 2006.

M. Yoshida, On approximations of the basic equations of terrestrial mantle convection used in published literature, Physics of the Earth and Planetary Interiors, vol.268, pp.11-17, 2017.

D. Yuen and W. Peltier, Mantle plumes and the thermal stability of the d layer, Geophysical Research Letters, vol.7, pp.625-628, 1980.

S. Zatman, R. G. Gordon, and K. Mutnuri, Dynamics of diffuse oceanic plate boundaries: insensitivity to rheology, Geophysical Journal International, vol.162, pp.239-248, 2005.

N. Zhang, Z. Dang, C. Huang, and Z. X. Li, The dominant driving force for supercontinent breakup: Plume push or subduction retreat? Geoscience Frontiers, 2018.

N. Zhang, S. Zhong, W. Leng, and Z. X. Li, A model for the evolution of the earth's mantle structure since the early paleozoic, Journal of Geophysical Research: Solid Earth, vol.115, 2010.

S. Zhang and U. Christensen, Some effects of lateral viscosity variations on geoid and surface velocities induced by density anomalies in the mantle, Geophysical Journal International, vol.114, pp.531-547, 1993.

S. Zhang and D. A. Yuen, Various influences on plumes and dynamics in time-dependent, compressible mantle convection in 3-d spherical shell, Physics of the earth and planetary interiors, vol.94, pp.241-267, 1996.

L. Zheng, R. G. Gordon, and D. Woodworth, Pacific plate apparent polar wander, hotspot fixity, and true polar wander during the formation of the hawaiian island and seamount chain from an analysis of the skewness of magnetic anomaly 20r (44 ma), 2018.

S. Zhong, Effects of lithosphere on the long-wavelength gravity anomalies and their implications for the formation of the tharsis rise on mars, Journal of Geophysical Research, p.107, 2002.

S. Zhong, Constraints on thermochemical convection of the mantle from plume heat flux, plume excess temperature, and upper mantle temperature, Journal of Geophysical Research: Solid Earth, vol.111, 2006.

S. Zhong and M. Gurnis, Viscous flow model of a subduction zone with a faulted lithosphere: long and short wavelength topography, gravity and geoid, Geophysical Research Letters, vol.19, pp.1891-1894, 1992.

S. Zhong and M. Gurnis, Controls on trench topography from dynamic models of subducted slabs, Journal of Geophysical Research: Solid Earth, vol.99, pp.15683-15695, 1994.

S. Zhong, A. Mcnamara, E. Tan, L. Moresi, and M. Gurnis, A benchmark study on mantle convection in a 3-d spherical shell using citcoms, Geochemistry, Geophysics, 2008.

S. Zhong and M. L. Rudolph, On the temporal evolution of long-wavelength mantle structure of the earth since the early paleozoic, Geochemistry, Geophysics, Geosystems, vol.16, pp.1599-1615, 2015.

S. Zhong, N. Zhang, Z. X. Li, and J. H. Roberts, Supercontinent cycles, true polar wander, and very longwavelength mantle convection, Earth and Planetary Science Letters, vol.261, pp.551-564, 2007.

S. Zhong, M. T. Zuber, L. Moresi, and M. Gurnis, Role of temperature-dependent viscosity and surface plates in spherical shell models of mantle convection, Journal of Geophysical Research: Solid Earth, vol.105, pp.11063-11082, 2000.

B. Figure and . Herzberg, Comparative distribution (histograms) of potential temperature (T P ) of mantle depicted from the composition of MORBs using PRIMELT3 MEGA software (Herzberg and Asimow, 2015) and different redox conditions in the source, (c), the average redox condition (Fe 2+ /?Fe ratio) of FeO/FeO T =0.9, 2010.

B. , Petrological analysis of along-axis MAR basalts