A Kalman filter technique to estimate relativistic electron lifetimes in the outer radiation belt

Journal of Geophysical Research: Space Physics

Volumn 112, Issue 10, 2007, Pages

  Kondrashov, D ^a,b   Shprits, Y ^a   Ghil, M ^a,b,c   Thorne, R ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

^c ECOLE NORMALE SUPÉRIEURE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 37249052805     PISSN: None     EISSN: 21699402     Source Type: Journal    
DOI: 10.1029/2007JA012583     Document Type: Article

References (75)

1. Abel, B., and R. M. Thorne (1998a), Electron scattering loss in Earth's inner magnetosphere, 1, Dominant physical processes, J. Geophys. Res., 103, 2385.
2. Abel, B., and R. M. Thorne (1998b), Electron scattering loss in Earth's inner magnetosphere, 2, Sensitivity to model parameters, J. Geophys. Res., 104, 4627.
3. Albert, J. M. (2005), Evaluation of quasi-linear diffusion coefficients for whistler mode waves in a plasma with arbitrary density ratio, J. Geophys. Res., 110, A03218, doi:10.1029/2004JA010844.
4. Baker, D. N., et al. (1994), Satellite anomalies linked to electrons in magnetosphere, Eos Trans. AGU, 75, 401.
5. Bengtsson, L. (1975), Four-Dimensional Data Assimilation of Meteorological Observations, GARP Publ. Ser. No 15., World Met. Org./Intl. Council Sci. Unions, Geneva.
6. Bengtsson, L., M. Ghil, and E. Källén (Eds.) (1981), Dynamic Meteorology: Data Assimilation Methods, Springer-Verlag, NewYork/Heidelberg/Berlin, 330 pp.
7. Bourdarie, S., et al. (1996), Magnetic storm modeling in the Earth's electron belt by the Salammbô code, J. Geophys. Res., 101, 27, 171.
8. Brasseur, P., J. Ballabrera, and J. Verron (1999), Assimilation of altimetric data in the mid-latitude oceans using the SEEK filter with an eddy-resolving primitive equation model, J. Marine Syst., 22, 269-294.
9. Brautigam, D. H., and J. M. Albert (2000), Radial diffusion analysis of outer radiation belt electrons during the October 9, 1990, magnetic storm, J. Geophys. Res., 105, 291.
10. Carpenter, D. L., and R. R. Anderson (1992), An ISEE/whistler model of equatorial electron density in the magnetosphere, J. Geophys. Res., 97, 1097-1108.
11. Chin, T. M., M. J. Turmon, J. B. Jewell, and M. Ghil (2006), An ensemble-based smoother with retrospectively updated weights for highly nonlinear systems, Mon. Wea. Rev., accepted.
12. Dee, D. P. (1995), On-line estimation of error variance parameters for atmospheric data assimilation, Mon. Wea. Rev., 123, 1128-1145.
13. Dee, D., S. E. Cohn, A. Dalcher, and M. Ghil (1985), An efficient algorithm for estimating covariances in distributed systems, IEEE Trans. Autom. Control, AC-30, 1057-1065.
14. Elkington, S. R., M. Wiltberger, A. A. Chan, and D. N. Baker (2004), Physical models of the geospace radiation environment, J. Atmos. Sol. Terr. Phys., 66, 1371.
15. Friedel, R. H. W., S. Bourdarie, J. F. Fennell, S. Kankeal, and T. E. Cayton (2003), "Nudging" the Salammbo code: First results of seeding a diffusive radiation belt code with in situ data: GPS GEO, HEO, and POLAR, Eos Trans. AGU, 84(46), Fall Meet. Suppl., SM11D-06.
16. Galmiche, M., J. Sommeria, E. Thivolle-Cazat, and J. Verron (2003), Using data assimilation in numerical simulation of experimental geophysical flows, C. R. Acad. Sci. (Mécanique), 331, 843-848.
17. Gelb, A., (Ed.) (1974), Applied Optimal Estimation, The MIT Press, 347 pp.
18. Ghil, M. (1997), Advances in sequential estimation for atmospheric and oceanic flows, J. Meteorol. Soc. Japan, 75, 289-304.
19. Ghil, M., and P. Malanotte-Rizzoli (1991), Data assimilation in meteorology and oceanography, Adv. Geophys., 33, 141-266.
20. Ghil, M., S. Cohn, J. Tavantzis, K. Bube, and E. Isaacson (1981), Applications of estimation theory to numerical weather prediction, in Dynamic Meteorology: Data Assimilation Methods, edited by L. Bengtsson, M. Ghil, and E. Källén (Eds.), pp. 139-224, Springer Verlag.
21. Home, R. B., and R. M. Thorne (1998), Potential wave modes for electron scattering and stochastic acceleration to relativistic energies during magnetic storms, Geophys. Res. Lett., 25, 3011.
22. Horne, R. B., N. P. Meredith, R. M. Thorne, D. Heynderickx, R. H. A. Iles, and R. R. Anderson (2003), Evolution of energetic electron pitch angle distributions during storm time electron acceleration to megaelectronvolt energies, J. Geophys. Res., 108(A1), 1016, doi:10.1029/2001JA009165.
23. Horne, R. B., R. M. Thorne, Y. Shprits, et al. (2005), Wave acceleration of electrons in the Van Allen radiation belts, Nature, 447, 227-230.
24. Ide, K., P. Courtier, M. Ghil, and A. Lorenc (1997), Unified notation for data assimilation: Operational, sequential and variational, J. Meteorol. Soc. Jpn, 75, 181-189.
25. Iles, R., et al. (2006), Phase space density analysis of the outer radiation belt energetic electron dynamics, J. Geophys. Res., 111, A03204, doi:10.1029/2005JA011206.
26. Jazwinski, A. H. (1970), Stochastic Processes and Filtering Theory, Academic Press, New York, 376 pp.
27. Jordanova, V. K., et al. (2001), Modeling ring current proton precipitation by EMIC waves during the May 14-16, 1997 storm, J. Geophys. Res., 106, 7.
28. Kalman, R. E. (1960), A new approach to linear filtering and prediction problems, Trans. ASME, Ser. D: J. Basic Eng., 82, 35-45.
29. Kalman, R. E., and R. S. Bucy (1961), New results in linear filtering and prediction theory, Trans. ASME, Ser. D: J. Basic Eng., 83, 95-108.
30. Kalnay, E. (2003), Atmospheric Modeling, Data Assimilation and Predictability, Cambridge Univ. Press, Cambridge/London, UK, 341 pp.
31. Kao, J., D. Flicker, K. Ide, and M. Ghil (2006), Estimating model parameters for an impact-produced shock-wave simulation: Optimal use of partial data with the extended Kalman filter, J. Comput. Phys., 214(2), 725-737, doi:10.1016/j.jcp.2005.10.022.
32. Kondrashov, D., S. Kravtsov, and M. Ghil (2005), A hierarchy of data-based ENSO models, J. Chim., 18(21), 4425-4444.
33. Landau, L. D., and E. M. Lifshits (1976), Mechanics (3rd ed.). London: Pergamon. Vol. 1 of the Course of Theoretical Physics.
34. Lyons, L. R., and R. M. Thorne (1972), Parasitic pitch angle diffusion of radiation belt particles by ion-cyclotron waves, J. Geophys. Res., 77, 5608.
35. Lyons, L. R., and R. M. Thorne (1973), Equilibrium structure of radiation belt electrons, J. Geophys. Res., 78, 2142.
36. Lyons, L. R., R. M. Thorne, and C. F. Kennel (1972), Pitch angle diffusion of radiation belt electrons within the plasmasphere, J. Geophys. Res., 77, 3455.
37. Lyons, L. R., D.-Y. Lee, R. M. Thorne, R. B. Horne, and A. J. Smith (2005), Solar wind-magnetosphere coupling leading to relativistic electron energization during high-speed streams, J. Geophys. Res., 110, A11202, doi:10.1029/2005JA011254.
38. Mann, I. R., T. P. O'Brien, and D. K. Milling (2004), Correlations between ULF wave power, solar wind speed, and relativistic electron fluxin the magnetosphere: solar cycle dependence, J. Atmos. Sol. Terr. Phys., 66, 187.
39. Mathie, R. A., and I. R. Mann (2000), A correlation between extended intervals of ULF wave power and storm-time geosynchronous relativistic electron flux enhancements, Geophys. Res. Lett., 27, 3261.
40. Meredith, N. P., et al. (2000), The temporal evolution of electron distributions and associated wave activity following substorm injections in the inner magnetosphere, J. Geophys. Res., 105, 12,907.
41. Meredith, N. P., et al. (2002), Outer zone relativistic electron acceleration associated with substorm enhanced whistler mode chorus, J. Geophys. Res., 107(A7), 1144, doi:10.1029/2001JA900146.
42. Meredith, N. P., et al. (2003), Statistical analysis of relativistic electron energies for cyclotron resonance with EMIC waves observed on CRRES, J. Geophys. Res., 108(A6), 1250, doi:10.1029/2002JA009700.
43. Meredith, N. P., R. B. Horne, S. A. Glauert, et al. (2006), Energetic outer zone electron loss timescales during low geomagnetic activity, J. Geophys. Res., 111, A05212, doi:10.1029/2005JA011516.
44. Miller, R. N., M. Ghil, and F. Gauthiez (1994), Advanced data assimilation in strongly nonlinear dynamical systems, J. Atmos. Sci., 51, 1037-1056.
45. Miyoshi, Y., et al. (2003), Rebuilding process of the outer radiation belt during the 3 November 1993 magnetic storm: NOAA and Exos-D observations, J. Geophys. Res., 108(A1), 1004, doi:10.1029/2002JA007542.
46. Naehr, S. M., and F. R. Toffoletto (2005), Radiation belt data assimilation with an extended Kalman filter, Space Weather, 3, S06001, doi:10.1029/2004SW000121.
47. Perry, K. L., M. K. Hudson, and S. R. Elkington (2005), Incorporating spectral characteristics of Pc5 waves into three-dimensional radiation belt modeling and the diffusion of relativistic electrons, J. Geophys. Res., 110, A03215, doi:10.1029/2004JA010760.
48. Reeves, G. D., et al. (2003), Acceleration and loss of relativistic electrons during geomagnetic storms, Geophys. Res. Lett., 30(10), 1529, doi:10.1029/2002GL016513.
49. Richmond, A. D., and Y. Kamide (1998), Mapping electrodynamic features of the high latitude ionosphere from localized observations: Technique, J. Geophys. Res., 93, 5741-5759.
50. Richtmyer, R. D., and K. W. Morton (1967), Difference Methods for Initial-Value Problems (2nd ed.), Interscience, New York, 405 pp.
51. Rigler, E. J., D. N. Baker, and R. S. Wiegel (2004), Adaptive linear prediction of radiation belt electrons using the Kalman filter, Space Weather, 2, S03003, doi:10.1029/2003SW000036.
52. Roederer, J. G. (1970), Dynamics of Geomagnetically Trapped Radiation, Springer-Verlag, New York.
53. Rossi, B., and S. Olbert (1970), Introduction to the Physics of Space, McGraw-Hill Book Company.
54. Schulz, M., and L. Lanzerotti (1974), Particle Diffusion in the Radiation Belts, Springer, New York.
55. Schunk, R. W., et al. (2004), Global assimilation of ionospheric measurements (GAIM), Radio Sci., 39, RS1S02, doi: 10.1029/2002RS002794.
56. Selesnick, R. S. (2006), Source and loss rates of radiation belt relativistic electrons during magnetic storms, J. Geophys. Res., 111, A04210, doi:10.1029/2005JA011473.
57. Selesnick, R. S., and J. B. Blake (2000), On the source location of radiation belt relativistic electrons, J. Geophys. Res., 105, 2607.
58. Selesnick, R. S., J. B. Blake, and R. A. Mewaldt (2003), Atmospheric losses of radiation belt electrons, J. Geophys. Res., 108(A12), 1468, doi:10.1029/2003JA010160.
59. Selesnick, R. S., M. D. Looper, and J. M. Albert (2004), Low-altitude distribution of radiation belt electrons, J. Geophys. Res., 109, A11209, doi:10.1029/2004JA010611.
60. Sheeley, B. W., M. B. Moldwin, H. K. Rassoul, and R. R. Anderson (2001), An empirical plasmasphere and trough density model: CRRES observations, J. Geophys. Res., 106(A11), 25,631.
61. Shprits, Y., and R. M. Thorne (2004), Time dependent radial diffusion modeling of relativistic electrons with realistic loss rates, Geophys. Res. Lett., 31, L08805, doi:10.1029/2004GL019591.
62. Shprits, Y. Y., R. M. Thorne, G. D. Reeves, and R. Friedel (2005), Radial diffusion modeling with empirical lifetimes: Comparison with CRRES observations, Annales Geophys., 23, 1467-1471.
63. Shprits, Y. Y., R. M. Thorne, R. Friedel, G. D. Reeves, et al. (2006a), Outward radial diffusion driven by losses at magnetopause, J. Geophys. Res., 111, A11214, doi:10.1029/2006JA011657.
64. Shprits, Y. Y., R. M. Thorne, R. B. Horne, S. A. Glauert, et al. (2006b), Acceleration mechanism responsible for the formation of the new radiation belt during the 2003 Halloween solar storm, Geophys. Res. Lett., 33, L05104, doi:10.1029/2005GL024256.
65. Shprits, Y. Y., R. M. Thorne, R. B. Horne, and D. Summers (2006c), Bounce-averaged diffusion coefficients for field-aligned chorus waves, J. Geophys. Res., 111, A10225, doi:10.1029/2006JA011725.
66. Summers, D., and R. M. Thorne (2003), Relativistic electron pitch-angle scattering by electromagnetic ion cyclotron waves during geomagnetic storms, J. Geophys. Res., 108(A4), 1143, doi:10.1029/2002JA009489.
67. Summers, D., R. M. Thorne, and F. Xiao (1998), Relativistic theory of wave-particle resonant diffusion with application to electron acceleration in the magnetosphere, J. Geophys. Res., 103, 20,487.
68. Sun, C., Z. Hao, M. Ghil, and J. D. Neelin (2002), Data assimilation for a coupled ocean-atmosphere model. Part I: Sequential state estimation, Mon. Wea. Rev., 130, 1073-1099.
69. Thorne, R. M., and C. F. Kennel (1971), Relativistic electron precipitation during magnetic storm main phase, J. Geophys. Res., 76, 4446.
70. Thorne, R. M., R. B. Horne, S. A. Glauert, N. P. Meredith, et al. (2005a), The influence of wave-particle interactions on relativistic electron dynamics during storms, Interactions: New Perspecives from Imaging Inner Magnetosphere, edited by J. Burch, M. Schulz, and H. Spense (eds.), Geophys. Monogr. Ser., 159.
71. Thorne, R. M., T. P. O'Brien, Y. Y. Shprits, et al. (2005b), Timescale for MeV electron microburst loss during geomagnetic storms, J. Geophys. Res., 110, A09202, doi:10.1029/2004JA010882.
72. Todling, R., S. E. Cohn, and N. S. Sivakumaran (1998), Suboptimal schemes for retrospective data assimilation based on the fixed-lag Kalman smoother, Mon. Wea. Rev., 126, 2274-2286.
73. Tsyganenko, N. A. (1989), A magnetospheric magnetic field model with a warped tail current sheet, Planet. Space Sci, 37, 5-20.
74. Vampola, A. L., J. V. Osborne, and B. M. Johnson (1992), CRRES magnetic electron spectrometer AFGL-701-5A (MEA), J. Spacecr. Rockets, 29, 592-594.
75. Van Allen, J. A., G. H. Ludwig, E. C. Ray, and C. E. McIlwain (1958), Observation of high intensity radiation by satellites 1958 Alpha and Gamma, Jet Propul., 28, 588.