Ice Age Earth Rotation

Modern predictions of the rotational stability of an ice age Earth reflect a convergence of two classic problems in geophysical analysis—the modeling of the glacial isostatic adjustment (GIA) process and the rotational stability of terrestrial planets. Recent theoretical advances in this area have been motivated not by conventional applications, such as the inference of Earth's deep-mantle viscosity, but rather by efforts to address vexing problems in global climate change research. These advances have demonstrated that traditional calculations of the ongoing motion of the rotation pole relative to the surface geography, or true polar wander (TPW), driven by ice age loading have systematically overestimated this motion by up to a factor of 4 by underestimating by ∼1% the background flattening of Earth's oblate form. The physics of this sensitivity is related to concepts that appear in canonical, mid-twentieth century discussions of Earth rotation, and avoiding the associated inaccuracy resolves numerous p...

[1]  Y. Ricard,et al.  Ice age True Polar Wander in a compressible and non-hydrostatic Earth , 2010 .

[2]  R. Steven Nerem,et al.  Ocean mass from GRACE and glacial isostatic adjustment , 2010 .

[3]  I. Matsuyama,et al.  The rotational stability of a triaxial ice-age Earth , 2010 .

[4]  W. Peltier,et al.  On the origins of Earth rotation anomalies: New insights on the basis of both “paleogeodetic” data and Gravity Recovery and Climate Experiment (GRACE) data , 2009 .

[5]  M. Nakada.  Polar wander of the Earth associated with the Quaternary glacial cycle on a convecting mantle , 2009 .

[6]  W. R. Peltier,et al.  Closure of the budget of global sea level rise over the GRACE era: the importance and magnitudes of the required corrections for global glacial isostatic adjustment , 2009 .

[7]  E. Leuliette,et al.  Closing the sea level rise budget with altimetry, Argo, and GRACE , 2009 .

[8]  J. Willis,et al.  Assessing the globally averaged sea level budget on seasonal to interannual timescales , 2008 .

[9]  W. Peltier.  Glacial-Isostatic Adjustment—II. The Inverse Problem , 2007 .

[10]  A. Cazenave,et al.  Estimation of steric sea level variations from combined GRACE and Jason-1 data , 2007 .

[11]  A. Paulson,et al.  Reanalysis of ancient eclipse, astronomic and geodetic data: A possible route to resolving the enigma of global sea-level rise , 2006 .

[12]  I. Matsuyama,et al.  Rotational stability of dynamic planets with elastic lithospheres , 2006 .

[13]  J. Mitrovica,et al.  On post-glacial sea level – II. Numerical formulation and comparative results on spherically symmetric models , 2005 .

[14]  D. Stevenson,et al.  Theoretical constraints on true polar wander , 2005 .

[15]  A. Paulson,et al.  The rotational stability of an ice-age earth , 2005 .

[16]  D. Komatitsch,et al.  Glacial isostatic adjustment on 3‐D Earth models: a finite‐volume formulation , 2005 .

[17]  Anny Cazenave,et al.  Present‐day sea level change: Observations and causes , 2004 .

[18]  A. Marotta,et al.  Simultaneous inversion for the Earth's mantle viscosity and ice mass imbalance in Antarctica and Greenland , 2004 .

[19]  W. Peltier.  GLOBAL GLACIAL ISOSTASY AND THE SURFACE OF THE ICE-AGE EARTH: The ICE-5G (VM2) Model and GRACE , 2004 .

[20]  R. Gross,et al.  An estimate of motion between the spin axis and the hotspots over the past century , 2004 .

[21]  A. Paulson,et al.  Three-dimensional finite-element modelling of Earth's viscoelastic deformation: effects of lateral variations in lithospheric thickness , 2003 .

[22]  W. Wal,et al.  Postglacial sealevels on a spherical, self-gravitating viscoelastic earth: effects of lateral viscosity variations in the upper mantle on the inference of viscosity contrasts in the lower mantle , 2003 .

[23]  J. Mitrovica,et al.  On the origin of late Holocene sea-level highstands within equatorial ocean basins , 2002 .

[24]  M. Nakada.  Polar wander caused by the Quaternary glacial cycles and fluid Love number , 2002 .

[25]  W. Munk.  Twentieth century sea level: An enigma , 2002, Proceedings of the National Academy of Sciences of the United States of America.

[26]  J. Mitrovica,et al.  Glacial isostatic adjustment on a rotating earth , 2001 .

[27]  Z. Martinec.  Spectral–finite element approach to three‐dimensional viscoelastic relaxation in a spherical earth , 2000 .

[28]  J. Vondrák,et al.  Astrometric and space‐geodetic observations of polar wander , 1999 .

[29]  J. Tromp,et al.  Surface loading of a viscoelastic earth—II. Spherical models , 1999 .

[30]  K. Lambeck,et al.  Postglacial rebound and sea level contributions to changes in the geoid and the Earth's rotation axis , 1999 .

[31]  W. R. Peltier,et al.  Postglacial variations in the level of the sea: Implications for climate dynamics and solid‐Earth geophysics , 1998 .

[32]  P. Silver,et al.  Dynamic topography, plate driving forces and the African superswell , 1998, Nature.

[33]  L. Vermeersen,et al.  Changes in rotation induced by Pleistocene ice masses with stratified analytical Earth models , 1997 .

[34]  L. Vermeersen,et al.  Ice‐age cycles: Earth's rotation instabilities and sea‐level changes , 1997 .

[35]  Byron D. Tapley,et al.  Determination of long-term changes in the Earth's gravity field from satellite laser ranging observations , 1997 .

[36]  B. Steinberger,et al.  Changes of the Earth's rotation axis owing to advection of mantle density heterogeneities , 1997, Nature.

[37]  E. Ivins,et al.  Global geodetic signatures of the Antarctic Ice Sheet , 1997 .

[38]  L. Vermeersen,et al.  Significance of the fundamental mantle rotational relaxation mode in polar wander simulations , 1996 .

[39]  J. Mitrovica,et al.  POSTGLACIAL SEA-LEVEL CHANGE ON A ROTATING EARTH : FIRST RESULTS FROM A GRAVITATIONALLY SELF-CONSISTENT SEA-LEVEL EQUATION , 1996 .

[40]  B. Luzum,et al.  Path of the Mean Rotational Pole From 1899 to 1994 , 1996 .

[41]  W. Peltier,et al.  Glacial isostatic adjustment and Earth rotation: Refined constraints on the viscosity of the deepest mantle , 1996 .

[42]  J. Mitrovica,et al.  Seismic-geodynamic determination of the origin of excess ellipticity of the core-mantle boundary , 1995 .

[43]  L. V. Morrison,et al.  Long-term fluctuations in the Earth’s rotation: 700 BC to AD 1990 , 1995, Philosophical Transactions of the Royal Society of London. Series A: Physical and Engineering Sciences.

[44]  D. Yuen,et al.  Effects on post-glacial rebound from the hard rheology in the transition zone , 1992 .

[45]  W. Peltier.  Global Sea Level and Earth Rotation , 1988, Science.

[46]  D. Yuen,et al.  Excitation of the Earth's rotational axis by recent glacial discharges , 1986 .

[47]  R. Willemann.  Reorientation of planets with elastic lithospheres , 1984 .

[48]  W. Peltier,et al.  Pleistocene deglaciation and the Earth's rotation: a new analysis , 1984 .

[49]  J. G. Williams,et al.  Secular variation of Earth's gravitational harmonic J2 coefficient from Lageos and nontidal acceleration of Earth rotation , 1983, Nature.

[50]  W. Peltier,et al.  Continental lithospheric thickness and deglaciation induced true polar wander , 1983 .

[51]  D. Yuen,et al.  Viscosity of the lower mantle as inferred from rotational data , 1982 .

[52]  W. Peltier,et al.  Viscous gravitational relaxation , 1982 .

[53]  S. M. Nakiboglu.  Hydrostatic theory of the Earth and its mechanical implications , 1982 .

[54]  D. Yuen,et al.  Interaction of cryospheric forcings with rotational dynamics has consequences for ice ages , 1982, Nature.

[55]  W. Peltier,et al.  Pleistocene deglaciation and the Earth's rotation: implications for mantle viscosity , 1981 .

[56]  D. L. Anderson,et al.  Preliminary reference earth model , 1981 .

[57]  S. M. Nakiboglu,et al.  Deglaciation effects on the rotation of the Earth , 1980 .

[58]  K. Lambeck,et al.  The Earth's Variable Rotation: Bibliography , 1980 .

[59]  W. Peltier.  The impulse response of a Maxwell Earth , 1974 .

[60]  A. Toomre,et al.  Some remarks on polar wandering , 1969 .

[61]  T. Gold.  Instability of the Earth's Axis of Rotation , 1955, Nature.

[62]  Guillaume Ramillien,et al.  Sea level budget over 2003-2008: A reevaluation from GRACE space gravimetry, satellite altimetry and Argo , 2009 .

[63]  Richard S. Gross,et al.  Earth Rotation Variations – Long Period , 2007 .

[64]  W. Peltier.  9.10 – History of Earth Rotation , 2007 .

[65]  Archie Paulson,et al.  FAST TRACK PAPER: Inference of mantle viscosity from GRACE and relative sea level data , 2007 .

[66]  R. Nerem,et al.  Secular Variations of the Zonal Harmonics and Polar Motion as Geophysical Constraints , 1996 .

[67]  D. Yuen,et al.  Viscosity stratification of the lower mantle as inferred by the j2 observation. , 1985 .

[68]  Walter Munk,et al.  The rotation of the earth , 1960 .