References

ANGEO

Annales Geophysicae

ANGEO

Ann. Geophys.

1432-0576

Copernicus Publications

Göttingen, Germany

10.5194/angeo-29-1501-2011

Modeling ionospheric foF2 by using empirical orthogonal function analysis

E. A

¹ ² Zhang

D.-H.

¹ ³ Xiao

¹ ³ Hao

Y.-Q.

¹ Ridley

A. J.

² Moldwin

Institute of Space Physics and Applied Technology, School of Earth and Space Sciences, Peking University, Beijing, China

Department of Atmospheric, Oceanic and Space Sciences, University of Michigan, Ann Arbor, MI, USA

State Key Laboratory of Space Weather, Chinese Academy of Sciences, Beijing, China

31 08 2011

29 8 1501 1515

2011

This work is licensed under the Creative Commons Attribution 3.0 Unported License. To view a copy of this licence, visit https://creativecommons.org/licenses/by/3.0/

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The full text article is available as a PDF file from https://angeo.copernicus.org/articles/29/1501/2011/angeo-29-1501-2011.pdf

A similar-parameters interpolation method and an empirical orthogonal function analysis are used to construct empirical models for the ionospheric foF2 by using the observational data from three ground-based ionosonde stations in Japan which are Wakkanai (Geographic 45.4° N, 141.7° E), Kokubunji (Geographic 35.7° N, 140.1° E) and Yamagawa (Geographic 31.2° N, 130.6° E) during the years of 1971–1987. The impact of different drivers towards ionospheric foF2 can be well indicated by choosing appropriate proxies. It is shown that the missing data of original foF2 can be optimal refilled using similar-parameters method. The characteristics of base functions and associated coefficients of EOF model are analyzed. The diurnal variation of base functions can reflect the essential nature of ionospheric foF2 while the coefficients represent the long-term alteration tendency. The 1st order EOF coefficient A1 can reflect the feature of the components with solar cycle variation. A1 also contains an evident semi-annual variation component as well as a relatively weak annual fluctuation component. Both of which are not so obvious as the solar cycle variation. The 2nd order coefficient A2 contains mainly annual variation components. The 3rd order coefficient A3 and 4th order coefficient A4 contain both annual and semi-annual variation components. The seasonal variation, solar rotation oscillation and the small-scale irregularities are also included in the 4th order coefficient A4. The amplitude range and developing tendency of all these coefficients depend on the level of solar activity and geomagnetic activity. The reliability and validity of EOF model are verified by comparison with observational data and with International Reference Ionosphere (IRI). The agreement between observations and EOF model is quite well, indicating that the EOF model can reflect the major changes and the temporal distribution characteristics of the mid-latitude ionosphere of the Sea of Japan region. The error analysis processes imply that there are seasonal anomaly and semi-annual asymmetry phenomena which are consistent with pre-existing ionosphere theory.

References 1

Adeniyi, J. O., Bilitza, D., Radicella, S. M., and Willoughby, A. A.: Equatorial F2-peak parameters in the IRI model, Adv. Space Res., 31, 507–512, <a href="http://dx.doi.org/10.1016/S0273-1177(03)00039-5">https://doi.org/10.1016/S0273-1177(03)00039-5</a>, 2003.

Bilitza, D.: International Reference Ionosphere 2000, Radio Sci., 36, 261–275, <a href="http://dx.doi.org/10.1029/2000rs002432">https://doi.org/10.1029/2000rs002432</a>, 2001.

Bilitza, D. and Reinisch, B. W.: International Reference Ionosphere 2007: Improvements and new parameters, Adv. Space Res., 42, 599–609, <a href="http://dx.doi.org/10.1016/j.asr.2007.07.048">https://doi.org/10.1016/j.asr.2007.07.048</a>, 2008.

Bilitza, D. and Williamson, R.: Towards a better representation of the IRI topside based on ISIS and Alouette data, Adv. Space Res., 25, 149–152, <a href="http://dx.doi.org/10.1016/S0273-1177(99)00912-6">https://doi.org/10.1016/S0273-1177(99)00912-6</a>, 2000.

Bilitza, D., Rawer, K., Bossy, L., Kutiev, I., Oyama, K., Leitinger, R., and Kazimirovsky, E.: International Reference ionosphere 1990, Nat. Space Sci. Data Cent., Report 90-22, Greenbelt, Md., 1990.

Bilitza, D., Koblinsky, C., Williamson, R., and Bhardwaj, S.: Improving the topside electron density model for IRI, Adv. Space Res., 22, 777–787, <a href="http://dx.doi.org/10.1016/S0273-1177(98)00098-2">https://doi.org/10.1016/S0273-1177(98)00098-2</a>, 1998.

Bilitza, D., Reinisch, B. W., Radicella, S. M., Pulinets, S., Gulyaeva, T., and Triskova, L.: Improvements of the International Reference Ionosphere model for the topside electron density profile, Radio Sci., 41, RS5S15, <a href="http://dx.doi.org/10.1029/2005RS003370">https://doi.org/10.1029/2005RS003370</a>, 2006.

Bohlin, J. D.: Extreme-ultraviolet observations of coronal holes., Sol. Phys., 51, 377–398, <a href="http://dx.doi.org/10.1007/BF00216373">https://doi.org/10.1007/BF00216373</a>, 1977.

CCIR: Comite Consultatif International des Radiocommunications, Reports 340, 340-2 and later supplements, Geneva, 1967.

Daniell, R. E., Brown, L. D., Anderson, D. N., Fox, M. W., Doherty, P. H., Decker, D. T., Sojka, J. J., and Schunk, R. W.: Parameterized ionospheric model: A global ionospheric parameterization based on first principles models, Radio Sci., 30, 1499–1510, <a href="http://dx.doi.org/10.1029/95RS01826">https://doi.org/10.1029/95RS01826</a>, 1995.

Dvinskikh, N. I.: Expansion of ionospheric characteristics fields in empirical orthogonal functions, Adv. Space Res., 8, 179–187, <a href="http://dx.doi.org/10.1016/0273-1177(88)90238-4">https://doi.org/10.1016/0273-1177(88)90238-4</a>, 1988.

Forbes, J. M., Palo, S. E., and Zhang, X.: Variability of the ionosphere, J. Atmos. Sol. Terr. Phys., 62, 685–693, <a href="http://dx.doi.org/10.1016/S1364-6826(00)00029-8">https://doi.org/10.1016/S1364-6826(00)00029-8</a>, 2000.

Fuller-Rowell, T. J.: The "thermospheric spoon": A mechanism for the semiannual density variation, J. Geophys. Res., 103, 3951–3956, <a href="http://dx.doi.org/10.1029/97JA03335">https://doi.org/10.1029/97JA03335</a>, 1998.

Hinteregger, H. E., Bedo, D. E., and Manson, J. E.: The EUV spectroheliometer on Atmosphere Explorer., Radio Sci., 8, 349–359, <a href="http://dx.doi.org/10.1029/RS008i004p00349">https://doi.org/10.1029/RS008i004p00349</a>, 1973.

Johnson, F. S. and Gottlieb, B.: Eddy mixing and circulation at ionospheric levels, Planet. Space Sci., 18, 1707–1718, <a href="http://dx.doi.org/10.1016/0032-0633(70)90004-8">https://doi.org/10.1016/0032-0633(70)90004-8</a>, 1970.

Kumluca, A., Tulunay, E., Topalli, I., and Tulunay, Y.: Temporal and spatial forecasting of ionospheric critical frequency using neural networks, Radio Sci., 34, 1497–1506, <a href="http://dx.doi.org/10.1029/1999RS900070">https://doi.org/10.1029/1999RS900070</a>, 1999.

Lei, J., Burns, A. G., Tsugawa, T., Wang, W., Solomon, S. C., and Wiltberger, M.: Observations and simulations of quasiperiodic ionospheric oscillations and large-scale traveling ionospheric disturbances during the December 2006 geomagnetic storm, J. Geophys. Res., 113, A06310, <a href="http://dx.doi.org/10.1029/2008JA013090">https://doi.org/10.1029/2008JA013090</a>, 2008a.

Lei, J., Thayer, J. P., Forbes, J. M., Wu, Q., She, C., Wan, W., and Wang, W.: Ionosphere response to solar wind high-speed streams, Geophys. Res. Lett., 35, L19105, <a href="http://dx.doi.org/10.1029/2008GL035208">https://doi.org/10.1029/2008GL035208</a>, 2008b.

Liang, S.: The Deviation of IRI from the Ionospheric Parameters Observed Over East Asia, Publications of the Yunnan Observatory, 128, 1–+, 1990.

Liu, C., Zhang, M., Wan, W., Liu, L., and Ning, B.: Modeling M(3000)F2 based on empirical orthogonal function analysis method, Radio Sci., 43, RS1003, <a href="http://dx.doi.org/10.1029/2007RS003694">https://doi.org/10.1029/2007RS003694</a>, 2008.

Liu, L., Wan, W., and Ning, B.: Statistical modeling of ionospheric foF2 over Wuhan, Radio Sci., 39, RS2013, <a href="http://dx.doi.org/10.1029/2003RS003005">https://doi.org/10.1029/2003RS003005</a>, 2004.

Liu, L., Wan, W., Ning, B., Pirog, O. M., and Kurkin, V. I.: Solar activity variations of the ionospheric peak electron density, J. Geophys. Res., 111, A08304, <a href="http://dx.doi.org/10.1029/2006JA011598">https://doi.org/10.1029/2006JA011598</a>, 2006.

Liu, L., Wan, W., and Le, H.: Solar activity effects of the ionosphere: A brief review, Chinese Science Bulletin, 56, 1202–1211, <a href="http://dx.doi.org/10.1007/s11434-010-4226-9">https://doi.org/10.1007/s11434-010-4226-9</a>, 2011.

Lyatsky, W., Newell, P. T., and Hamza, A.: Solar illumination as cause of the equinoctial preference for geomagnetic activity, Geophys. Res. Lett., 28, 2353–2356, <a href="http://dx.doi.org/10.1029/2000GL012803">https://doi.org/10.1029/2000GL012803</a>, 2001.

Mao, T., Wan, W., Yue, X., Sun, L., Zhao, B., and Guo, J.: An empirical orthogonal function model of total electron content over China, Radio Sci., 43, RS2009, <a href="http://dx.doi.org/10.1029/2007RS003629">https://doi.org/10.1029/2007RS003629</a>, 2008.

Marsh, D. R., Solomon, S. C., and Reynolds, A. E.: Empirical model of nitric oxide in the lower thermosphere, J. Geophys. Res., 109, A07301, <a href="http://dx.doi.org/10.1029/2003JA010199">https://doi.org/10.1029/2003JA010199</a>, 2004.

Matsuo, T. and Forbes, J. M.: Principal modes of thermospheric density variability: Empirical orthogonal function analysis of CHAMP 2001-2008 data, J. Geophys. Res., 115, A07309, <a href="http://dx.doi.org/10.1029/2009JA015109">https://doi.org/10.1029/2009JA015109</a>, 2010.

Matsuo, T., Richmond, A. D., and Nychka, D. W.: Modes of high-latitude electric field variability derived from DE-2 measurements: Empirical Orthogonal Function (EOF) analysis, Geophys. Res. Lett., 29, 1107, <a href="http://dx.doi.org/10.1029/2001GL014077">https://doi.org/10.1029/2001GL014077</a>, 2002.

Matsuo, T., Richmond, A. D., and Lu, G.: Optimal interpolation analysis of high-latitude ionospheric electrodynamics using empirical orthogonal functions: Estimation of dominant modes of variability and temporal scales of large-scale electric fields, J. Geophys. Res., 110, A06301, <a href="http://dx.doi.org/10.1029/2004JA010531">https://doi.org/10.1029/2004JA010531</a>, 2005.

McIntosh, D. H.: On the Annual Variation of Magnetic Disturbance, Philos. Trans. R. Soc. London. Ser. A., 251, 525–552, <a href="http://dx.doi.org/10.1098/rsta.1959.0010">https://doi.org/10.1098/rsta.1959.0010</a>, 1959.

McKinnell, L. and Oyeyemi, E.: Progress towards a new global foF2 model for the International Reference Ionosphere (IRI), Adv. Space Res., 43, 1770–1775, <a href="http://dx.doi.org/10.1016/j.asr.2008.09.035">https://doi.org/10.1016/j.asr.2008.09.035</a>, 2009.

McKinnell, L. and Oyeyemi, E.: Equatorial predictions from a new neural network based global foF2 model, Adv. Space Res., 46, 1016–1023, <a href="http://dx.doi.org/10.1016/j.asr.2010.06.003">https://doi.org/10.1016/j.asr.2010.06.003</a>, 2010.

Mendillo, M., Rishbeth, H., Roble, R., Damboise, E., and Wroton, J.: Ionospheric variability originating from tropospheric and stratospheric sources, EOS, 79, 238, 1998.

Mikhailov, A. V., Depuev, V. H., and Depueva, A. H.: Synchronous NmF2 and NmE daytime variations as a key to the mechanism of quiet-time F2-layer disturbances, Ann. Geophys., 25, 483–493, <a href="http://dx.doi.org/10.5194/angeo-25-483-2007">https://doi.org/10.5194/angeo-25-483-2007</a>, 2007.

Mikhailov, A. V., Depueva, A. H., and Depuev, V. H.: Quiet time F2-layer disturbances: seasonal variations of the occurrence in the daytime sector, Ann. Geophys., 27, 329–337, <a href="http://dx.doi.org/10.5194/angeo-27-329-2009">https://doi.org/10.5194/angeo-27-329-2009</a>, 2009.

Oyeyemi, E. O., Poole, A. W. V., and McKinnell, L. A.: On the global model for foF2 using neural networks, Radio Sci., 40, RS6011, <a href="http://dx.doi.org/10.1029/2004RS003223">https://doi.org/10.1029/2004RS003223</a>, 2005.

Oyeyemi, E. O., McKinnell, L., and Poole, A.: Near-real time foF2 predictions using neural networks, J. Atmos. Sol. Terr. Phys., 68, 1807–1818, <a href="http://dx.doi.org/10.1016/j.jastp.2006.07.002">https://doi.org/10.1016/j.jastp.2006.07.002</a>, 2006.

Pearson, K.: On Lines and Planes of Closest Fit to Systems of Points in Space, Philosophical Magazine, 2, 559–572, 1901.

Petrukovich, A. A. and Zakharov, M. Y.: $a_p$-index solar wind driving function and its semiannual variations, Ann. Geophys., 25, 1465–1469, <a href="http://dx.doi.org/10.5194/angeo-25-1465-2007">https://doi.org/10.5194/angeo-25-1465-2007</a>, 2007.

Richards, P. G., Fennelly, J. A., and Torr, D. G.: EUVAC: a solar EUV flux model for aeronomic calculations., J. Geophys. Res., 99(A5), 8981–8992, <a href="http://dx.doi.org/10.1029/94JA00518">https://doi.org/10.1029/94JA00518</a>, 1994.

Rishbeth, H. and Mendillo, M.: Patterns of F2-layer variability, J. Atmos. Sol. Terr. Phys., 63, 1661–1680, <a href="http://dx.doi.org/10.1016/S1364-6826(01)00036-0">https://doi.org/10.1016/S1364-6826(01)00036-0</a>, 2001.

Roble, R. G. and Ridley, E. C.: A thermosphere-ionosphere-mesosphere-electrodynamics general circulation model (time-GCM): Equinox solar cycle minimum simulations (30–500 km), Geophys. Res. Lett., 21, 417–420, <a href="http://dx.doi.org/10.1029/93GL03391">https://doi.org/10.1029/93GL03391</a>, 1994.

Rush, C. M.: URSI foF2 model maps (1988), Planet. Space Sci., 40, 546–547, <a href="http://dx.doi.org/10.1016/0032-0633(92)90181-M">https://doi.org/10.1016/0032-0633(92)90181-M</a>, 1992.

Schunk, R. and Nagy, A. (Eds.): Ionospheres: Physics, Plasma Physics and Chemistry, Cambridge University Press, 2000.

Singer, W. and Dvinskikh, N. I.: Comparison of empirical models of ionospheric characteristics developed by means of different mapping methods, Adv. Space Res., 11, 3–6, <a href="http://dx.doi.org/10.1016/0273-1177(91)90311-7">https://doi.org/10.1016/0273-1177(91)90311-7</a>, 1991.

T{óth}, G., Sokolov, I. V., Gombosi, T. I., Chesney, D. R., Clauer, C. R., De Zeeuw, D. L., Hansen, K. C., Kane, K. J., Manchester, W. B., Oehmke, R. C., Powell, K. G., Ridley, A. J., Roussev, I. I., Stout, Q. F., Volberg, O., Wolf, R. A., Sazykin, S., Chan, A., Yu, B., and K{ó}ta, J.: Space Weather Modeling Framework: A new tool for the space science community, J. Geophys. Res., 110, A12226, <a href="http://dx.doi.org/10.1029/2005JA011126">https://doi.org/10.1029/2005JA011126</a>, 2005.

Vlasov, M. N. and Kelley, M. C.: Crucial discrepancy in the balance between extreme ultraviolet solar radiation and ion densities given by the international reference ionosphere model, J. Geophys. Res., 115, A08317, <a href="http://dx.doi.org/10.1029/2009JA015103">https://doi.org/10.1029/2009JA015103</a>, 2010.

Xu, W. and Kamide, Y.: Decomposition of daily geomagnetic variations by using method of natural orthogonal component, J. Geophys. Res., 109, A05218, <a href="http://dx.doi.org/10.1029/2003JA010216">https://doi.org/10.1029/2003JA010216</a>, 2004.

Xu, Z., Wu, J., Igarashi, K., Kato, H., and Wu, Z.: Long-term ionospheric trends based on ground-based ionosonde observations at Kokubunji, Japan, J. Geophys. Res., 109, A09307, <a href="http://dx.doi.org/10.1029/2004JA010572">https://doi.org/10.1029/2004JA010572</a>, 2004.

Zapfe, B., Materassi, M., Mitchell, C., and Spalla, P.: Imaging of the equatorial ionospheric anomaly over South America–A simulation study of total electron content, J. Atmos. Sol. Terr. Phys., 68, 1819–1833, <a href="http://dx.doi.org/10.1016/j.jastp.2006.05.025">https://doi.org/10.1016/j.jastp.2006.05.025</a>, 2006.

Zhang, D. H., Mo, X. H., Cai, L., Zhang, W., Feng, M., Hao, Y. Q., and Xiao, Z.: Impact factor for the ionospheric total electron content response to solar flare irradiation, J. Geophys. Res., 116, A04311, <a href="http://dx.doi.org/10.1029/2010JA016089">https://doi.org/10.1029/2010JA016089</a>, 2011.

Zhang, M. L., Shi, J. K., Wang, X., Wu, S. Z., and Zhang, S. R.: Comparative study of ionospheric characteristic parameters obtained by DPS-4 digisonde with IRI2000 for low latitude station in China, Adv. Space Res., 33, 869–873, <a href="http://dx.doi.org/10.1016/j.asr.2003.07.013">https://doi.org/10.1016/j.asr.2003.07.013</a>, 2004.

Zhang, M., Shi, J., Wang, X., Shang, S., and Wu, S.: Ionospheric behavior of the F2 peak parameters foF2 and hmF2 at Hainan and comparisons with IRI model predictions, Adv. Space Res., 39, 661–667, <a href="http://dx.doi.org/10.1016/j.asr.2006.03.047">https://doi.org/10.1016/j.asr.2006.03.047</a>, 2007.

Zhang, M.-L., Liu, C., Wan, W., Liu, L., and Ning, B.: A global model of the ionospheric F2 peak height based on EOF analysis, Ann. Geophys., 27, 3203–3212, <a href="http://dx.doi.org/10.5194/angeo-27-3203-2009">https://doi.org/10.5194/angeo-27-3203-2009</a>, 2009.

Zhao, B., Wan, W., Liu, L., Yue, X., and Venkatraman, S.: Statistical characteristics of the total ion density in the topside ionosphere during the period 1996–2004 using empirical orthogonal function (EOF) analysis, Ann. Geophys., 23, 3615–3631, <a href="http://dx.doi.org/10.5194/angeo-23-3615-2005">https://doi.org/10.5194/angeo-23-3615-2005</a>, 2005.