Improving Empirical Magnetic Field Models by Fitting to In Situ Data Using an Optimized Parameter Approach
Abstract
A method for comparing and optimizing the accuracy of empirical magnetic field models using in situ magnetic field measurements is presented in this paper. The optimization method minimizes a cost function—τ—that explicitly includes both a magnitude and an angular term. A time span of 21 days, including periods of mild and intense geomagnetic activity, was used for this analysis. A comparison between five magnetic field models (T96, T01S, T02, TS04, and TS07) widely used by the community demonstrated that the T02 model was, on average, the most accurate when driven by the standard model input parameters. The optimization procedure, performed in all models except TS07, generally improved the results when compared to unoptimized versions of the models. Additionally, using more satellites in the optimization procedure produces more accurate results. This procedure reduces the number of large errors in the model, that is, it reduces the number of outliers in the error distribution. The TS04 model shows the most accurate results after the optimization in terms of both the magnitude and direction, when using at least six satellites in the fitting. It gave a smaller error than its unoptimized counterpart 57.3% of the time and outperformed the best unoptimized model (T02)more »
- Authors:
-
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Publication Date:
- Research Org.:
- Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE; LANL Laboratory Directed Research and Development (LDRD) Program
- OSTI Identifier:
- 1416290
- Alternate Identifier(s):
- OSTI ID: 1414008
- Report Number(s):
- LA-UR-17-27140
Journal ID: ISSN 1542-7390
- Grant/Contract Number:
- AC52-06NA25396
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Space Weather
- Additional Journal Information:
- Journal Volume: 15; Journal Issue: 12; Journal ID: ISSN 1542-7390
- Publisher:
- American Geophysical Union
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 58 GEOSCIENCES; Heliospheric and Magnetospheric Physics
Citation Formats
Brito, Thiago V., and Morley, Steven K. Improving Empirical Magnetic Field Models by Fitting to In Situ Data Using an Optimized Parameter Approach. United States: N. p., 2017.
Web. doi:10.1002/2017SW001702.
Brito, Thiago V., & Morley, Steven K. Improving Empirical Magnetic Field Models by Fitting to In Situ Data Using an Optimized Parameter Approach. United States. https://doi.org/10.1002/2017SW001702
Brito, Thiago V., and Morley, Steven K. Wed .
"Improving Empirical Magnetic Field Models by Fitting to In Situ Data Using an Optimized Parameter Approach". United States. https://doi.org/10.1002/2017SW001702. https://www.osti.gov/servlets/purl/1416290.
@article{osti_1416290,
title = {Improving Empirical Magnetic Field Models by Fitting to In Situ Data Using an Optimized Parameter Approach},
author = {Brito, Thiago V. and Morley, Steven K.},
abstractNote = {A method for comparing and optimizing the accuracy of empirical magnetic field models using in situ magnetic field measurements is presented in this paper. The optimization method minimizes a cost function—τ—that explicitly includes both a magnitude and an angular term. A time span of 21 days, including periods of mild and intense geomagnetic activity, was used for this analysis. A comparison between five magnetic field models (T96, T01S, T02, TS04, and TS07) widely used by the community demonstrated that the T02 model was, on average, the most accurate when driven by the standard model input parameters. The optimization procedure, performed in all models except TS07, generally improved the results when compared to unoptimized versions of the models. Additionally, using more satellites in the optimization procedure produces more accurate results. This procedure reduces the number of large errors in the model, that is, it reduces the number of outliers in the error distribution. The TS04 model shows the most accurate results after the optimization in terms of both the magnitude and direction, when using at least six satellites in the fitting. It gave a smaller error than its unoptimized counterpart 57.3% of the time and outperformed the best unoptimized model (T02) 56.2% of the time. Its median percentage error in |B| was reduced from 4.54% to 3.84%. Finally, the difference among the models analyzed, when compared in terms of the median of the error distributions, is not very large. However, the unoptimized models can have very large errors, which are much reduced after the optimization.},
doi = {10.1002/2017SW001702},
journal = {Space Weather},
number = 12,
volume = 15,
place = {United States},
year = {Wed Oct 25 00:00:00 EDT 2017},
month = {Wed Oct 25 00:00:00 EDT 2017}
}
Web of Science
Works referenced in this record:
Solar wind parameters for magnetospheric magnetic field modeling: SOLAR WIND PARAMETERS
journal, November 2007
- Qin, Z.; Denton, R. E.; Tsyganenko, N. A.
- Space Weather, Vol. 5, Issue 11
A comparison of Cluster magnetic data with the Tsyganenko 2001 model: CLUSTER COMPARISON TO TSYGANENKO 2001
journal, June 2007
- Woodfield, E. E.; Dunlop, M. W.; Holme, R.
- Journal of Geophysical Research: Space Physics, Vol. 112, Issue A6
Modeling the dynamics of the inner magnetosphere during strong geomagnetic storms
journal, January 2005
- Tsyganenko, N. A.
- Journal of Geophysical Research, Vol. 110, Issue A3
Toward adapted time-dependent magnetospheric models: A simple approach based on tuning the standard model: ADAPTED MAGNETOSPHERIC MODELS
journal, January 2009
- Kubyshkina, M.; Sergeev, V.; Tsyganenko, N.
- Journal of Geophysical Research: Space Physics, Vol. 114, Issue A1
Dipolarization fronts and associated auroral activities: 1. Conjugate observations and perspectives from global MHD simulations: AURORA VARIATION OF DIPOLARIZATION FRONT
journal, October 2012
- Ge, Y. S.; Zhou, X. -Z.; Liang, J.
- Journal of Geophysical Research: Space Physics, Vol. 117, Issue A10
Testing the accuracy of magnetospheric model field line mapping
journal, December 1996
- Pulkkinen, T. I.; Tsyganenko, N. A.
- Journal of Geophysical Research: Space Physics, Vol. 101, Issue A12
Modeling the growth phase of a substorm using the Tsyganenko Model and multi-spacecraft observations: CDAW-9
journal, November 1991
- Pulkkinen, T. I.; Baker, D. N.; Fairfield, D. H.
- Geophysical Research Letters, Vol. 18, Issue 11
Observation of repeated intense near-Earth reconnection on closed field lines with Cluster, Double Star, and other spacecraft
journal, January 2007
- Sergeev, V.; Semenov, V.; Kubyshkina, M.
- Geophysical Research Letters, Vol. 34, Issue 2
The Electric and Magnetic Field Instrument Suite and Integrated Science (EMFISIS) on RBSP
journal, June 2013
- Kletzing, C. A.; Kurth, W. S.; Acuna, M.
- Space Science Reviews, Vol. 179, Issue 1-4
Observational determination of magnetic connectivity of the geosynchronous region of the magnetosphere to the auroral oval
journal, February 1996
- Hones, E. W.; Thomsen, M. F.; Reeves, G. D.
- Journal of Geophysical Research: Space Physics, Vol. 101, Issue A2
Multi-spacecraft observation of plasma dipolarization/injection in the inner magnetosphere
journal, January 2007
- Apatenkov, S. V.; Sergeev, V. A.; Kubyshkina, M. V.
- Annales Geophysicae, Vol. 25, Issue 3
A magnetospheric magnetic field model with a warped tail current sheet
journal, January 1989
- Tsyganenko, N. A.
- Planetary and Space Science, Vol. 37, Issue 1
Intercalibration of magnetospheric energetic electron data: ENERGETIC ELECTRON INTERCALIBRATION
journal, September 2005
- Friedel, R. H. W.; Bourdarie, S.; Cayton, T. E.
- Space Weather, Vol. 3, Issue 9
Phase Space Density matching of relativistic electrons using the Van Allen Probes: REPT results
journal, September 2013
- Morley, S. K.; Henderson, M. G.; Reeves, G. D.
- Geophysical Research Letters, Vol. 40, Issue 18
Solar energetic particle cutoff variations during the 29-31 October 2003 geomagnetic storm: SEP CUTOFF VARIATIONS
journal, May 2010
- Kress, B. T.; Mertens, C. J.; Wiltberger, M.
- Space Weather, Vol. 8, Issue 5
Comparison of Earth’s magnetospheric magnetic field models in the context of cosmic ray physics
journal, October 2008
- Desorgher, Laurent; Kudela, Karel; Flückiger, Erwin O.
- Acta Geophysica, Vol. 57, Issue 1
Problems with mapping the auroral oval and magnetospheric substorms
journal, October 2015
- Antonova, E. E.; Vorobjev, V. G.; Kirpichev, I. P.
- Earth, Planets and Space, Vol. 67, Issue 1
Effect of dimensionality on the Nelder–Mead simplex method
journal, February 2006
- Han, Lixing; Neumann, Michael
- Optimization Methods and Software, Vol. 21, Issue 1
Alternatives to accuracy and bias metrics based on percentage errors for radiation belt modeling applications
report, July 2016
- Morley, Steven Karl
- LA-UR--16-24592
Comparison of eight years magnetic field data from Cluster with Tsyganenko models in the inner magnetosphere
journal, January 2010
- Zhang, Q. -H.; Dunlop, M. W.; Holme, R.
- Annales Geophysicae, Vol. 28, Issue 1
Current sheet thickness in the near-Earth plasma sheet during substorm growth phase
journal, January 1990
- Sergeev, V. A.; Tanskanen, P.; Mursula, K.
- Journal of Geophysical Research, Vol. 95, Issue A4
An observational test of the Tsyganenko (T89a) model of the magnetospheric field
journal, November 1996
- Thomsen, M. F.; McComas, D. J.; Reeves, G. D.
- Journal of Geophysical Research: Space Physics, Vol. 101, Issue A11
Direct search methods: then and now
journal, December 2000
- Lewis, Robert Michael; Torczon, Virginia; Trosset, Michael W.
- Journal of Computational and Applied Mathematics, Vol. 124, Issue 1-2
Magnetospheric configurations from a high-resolution data-based magnetic field model: MAGNETOSPHERIC HIGH-RESOLUTION MODEL
journal, June 2007
- Tsyganenko, N. A.; Sitnov, M. I.
- Journal of Geophysical Research: Space Physics, Vol. 112, Issue A6
Magnetospheric currents during sawtooth events: Event-oriented magnetic field model analysis: MAGNETOSPHERIC CURRENTS DURING SAWTOOTH EVENTS
journal, August 2008
- Kubyshkina, M.; Pulkkinen, T. I.; Ganushkina, N. Yu.
- Journal of Geophysical Research: Space Physics, Vol. 113, Issue A8
Storm-time distortion of the inner magnetosphere: How severe can it get?: DISTORTION OF THE INNER MAGNETOSPHERE
journal, May 2003
- Tsyganenko, N. A.; Singer, H. J.; Kasper, J. C.
- Journal of Geophysical Research: Space Physics, Vol. 108, Issue A5
Modeling the ring current magnetic field during storms
journal, January 2002
- Ganushkina, N. Y.
- Journal of Geophysical Research, Vol. 107, Issue A7
A quantitative assessment of empirical magnetic field models at geosynchronous orbit during magnetic storms: TEST MAGNETIC FIELD MODELS
journal, April 2008
- Huang, Chia-Lin; Spence, Harlan E.; Singer, Howard J.
- Journal of Geophysical Research: Space Physics, Vol. 113, Issue A4
The Cluster Magnetic Field Investigation: overview of in-flight performance and initial results
journal, January 2001
- Balogh, A.; Carr, C. M.; Acuña, M. H.
- Annales Geophysicae, Vol. 19, Issue 10/12
Science Objectives and Rationale for the Radiation Belt Storm Probes Mission
journal, September 2012
- Mauk, B. H.; Fox, N. J.; Kanekal, S. G.
- Space Science Reviews, Vol. 179, Issue 1-4
<i>Introduction</i><br>The Cluster mission
journal, January 2001
- Escoubet, C. P.; Fehringer, M.; Goldstein, M.
- Annales Geophysicae, Vol. 19, Issue 10/12
The Nelder-Mead Simplex Procedure for Function Minimization
journal, February 1975
- Olsson, Donald M.; Nelson, Lloyd S.
- Technometrics, Vol. 17, Issue 1
Phase space density analysis of the outer radiation belt energetic electron dynamics
journal, January 2006
- Iles, Roger H. A.; Meredith, Nigel P.; Fazakerley, Andrew N.
- Journal of Geophysical Research, Vol. 111, Issue A3
Testing the isotropic boundary algorithm method to evaluate the magnetic field configuration in the tail
journal, May 1993
- Sergeev, V. A.; Malkov, M.; Mursula, K.
- Journal of Geophysical Research: Space Physics, Vol. 98, Issue A5
A statistical comparison of commonly used external magnetic field models: A COMPARISON OF MAGNETIC FIELD MODELS
journal, October 2008
- McCollough, J. P.; Gannon, J. L.; Baker, D. N.
- Space Weather, Vol. 6, Issue 10
Modeling the Earth's magnetospheric magnetic field confined within a realistic magnetopause
journal, January 1995
- Tsyganenko, N. A.
- Journal of Geophysical Research, Vol. 100, Issue A4
Magnetospheric current systems during stormtime sawtooth events
journal, January 2006
- Pulkkinen, T. I.; Ganushkina, N. Y.; Tanskanen, E. I.
- Journal of Geophysical Research, Vol. 111, Issue A11
Global quantitative models of the geomagnetic field in the cislunar magnetosphere for different disturbance levels
journal, November 1987
- Tsyganenko, N. A.
- Planetary and Space Science, Vol. 35, Issue 11
Time-dependent magnetospheric configuration and breakup mapping during a substorm: MAGNETOSPHERIC CONFIGURATION DURING A SUBSTORM
journal, February 2011
- Kubyshkina, M.; Sergeev, V.; Tsyganenko, N.
- Journal of Geophysical Research: Space Physics, Vol. 116, Issue A5
Determination of errors in derived magnetic field directions in geosynchronous orbit: results from a statistical approach
journal, January 2016
- Chen, Yue; Cunningham, Gregory; Henderson, Michael
- Annales Geophysicae, Vol. 34, Issue 9
Recent highlights from Cluster, the first 3-D magnetospheric mission
journal, January 2015
- Escoubet, C. P.; Masson, A.; Laakso, H.
- Annales Geophysicae, Vol. 33, Issue 10
Modeling the global magnetic field of the large-scale Birkeland current systems
journal, December 1996
- Tsyganenko, Nikolai A.; Stern, David P.
- Journal of Geophysical Research: Space Physics, Vol. 101, Issue A12
A Simplex Method for Function Minimization
journal, January 1965
- Nelder, J. A.; Mead, R.
- The Computer Journal, Vol. 7, Issue 4
Data-based modelling of the Earth's dynamic magnetosphere: a review
journal, January 2013
- Tsyganenko, N. A.
- Annales Geophysicae, Vol. 31, Issue 10
Self-consistent modeling of magnetic fields and plasmas in the inner magnetosphere: Application to a geomagnetic storm
journal, January 2006
- Zaharia, Sorin; Jordanova, V. K.; Thomsen, M. F.
- Journal of Geophysical Research, Vol. 111, Issue A11
Inner magnetospheric onset preceding reconnection and tail dynamics during substorms: Can substorms initiate in two different regions?
journal, December 2014
- Murphy, Kyle R.; Mann, Ian R.; Rae, I. Jonathan
- Journal of Geophysical Research: Space Physics, Vol. 119, Issue 12
Dynamics of Magnetically Trapped Particles
book, January 2014
- Roederer, Juan G.; Zhang, Hui
- Astrophysics and Space Science Library
On the cause and extent of outer radiation belt losses during the 30 September 2012 dropout event: Effective ranges of outer belt dropouts
journal, March 2014
- Turner, D. L.; Angelopoulos, V.; Morley, S. K.
- Journal of Geophysical Research: Space Physics, Vol. 119, Issue 3
Application and testing of the L * neural network with the self-consistent magnetic field model of RAM-SCB
journal, March 2014
- Yu, Yiqun; Koller, Josef; Jordanova, Vania K.
- Journal of Geophysical Research: Space Physics, Vol. 119, Issue 3
Works referencing / citing this record:
Observations and Fokker‐Planck Simulations of the L ‐Shell, Energy, and Pitch Angle Structure of Earth's Electron Radiation Belts During Quiet Times
journal, February 2019
- Ripoll, J. ‐F.; Loridan, V.; Denton, M. H.
- Journal of Geophysical Research: Space Physics, Vol. 124, Issue 2
Testing Efficiency of Empirical, Adaptive, and Global MHD Magnetospheric Models to Represent the Geomagnetic Field in a Variety of Conditions
journal, May 2019
- Kubyshkina, M.; Sergeev, V. A.; Tsyganenko, N. A.
- Space Weather, Vol. 17, Issue 5
Empirical Modeling of the Geomagnetosphere for SIR and CME‐Driven Magnetic Storms
journal, July 2019
- Andreeva, V. A.; Tsyganenko, N. A.
- Journal of Geophysical Research: Space Physics, Vol. 124, Issue 7