Open Access
Research Article
J. Space Weather Space Clim.
Volume 8, 2018
Article Number A12
Number of page(s) 19
Published online 16 February 2018
  • Asvestari E, Usoskin IG. 2016. An empirical model of heliospheric cosmic ray modulation on long-term time scale. J Space Weather Space Clim 6: A15. DOI: 10.1051/swsc/2016011 [Google Scholar]
  • Asvestari EIG, Usoskin GA, Kovaltsov MJ, Owens NA, Krivova S, Rubinetti S, Taricco C. 2017. Assessment of different sunspot number series using the cosmogenic isotope 44Ti in meteorites. Mon Not R Astron Soc 467: 1608–1613. DOI:10.1093/mnras/stx190 [Google Scholar]
  • Barnard LA, Lockwood M, Hapgood MA, Owens MJ, Davis CJ, Steinhilber F. 2011. Predicting space climate change. Geophys Res Lett 38: L16103. DOI: 10.1029/2011GL048489 [Google Scholar]
  • Bartels J, Heck NH, Johnston HF. 1939. The three-hour range index measuring geomagnetic activity. Geophys Res 44: 411–454. DOI: 10.1029/te044i004p00411 [Google Scholar]
  • Bürger G, Cubasch U. 2005. Are multiproxy climate reconstructions robust ? Geophys Res Lett 32: L23711. DOI:10.1029/2005GL024155. [CrossRef] [Google Scholar]
  • Burlaga LF, Lazarus AJ. 2000. Lognormal distributions and spectra of solar wind plasma fluctuations: wind 1995–1998. J Geophys Res 105: 2357–2364. DOI:10.1029/1999JA900442 [NASA ADS] [CrossRef] [Google Scholar]
  • Coffey HE, Erwin EH. 2001. When do the geomagnetic aa and Ap indices disagree ? J Atmos Sol-Terr Phys 63: 551–556. DOI:10.1016/s1364-6826(00)00171-1 [CrossRef] [Google Scholar]
  • Cowley SWH. 1988. Acceleration and heating of space plasmas−basic concepts. Ann Geophys 9: 176–187. [Google Scholar]
  • Davis TN, Sugiura M. 1966. Auroral electrojet activity index AE and its universal time variations. J Geophys Res 71: 785–801. DOI:10.1029/JZ071i003p00785 [CrossRef] [Google Scholar]
  • Demetrescu C, Dobrica V, Maris G. 2010. On the long-term variability of the heliosphere-magnetosphere environment. Adv Space Res 46: 1299–1312. DOI:10.1016/j.asr.2010.06.032 [Google Scholar]
  • Dieminger W, Hartmann GK, Leitinger R. 1996. Geomagnetic activity indices. In: W. Dieminger, et al., eds., The upper atmosphere, Springer, Berlin, Heidelberg, pp. 887–911. DOI:10.1007/978-3-642-78717-1_26 [CrossRef] [Google Scholar]
  • Dmitriev AV, Suvorova AV, Veselovsky IS. 2009. Statistical characteristics of the heliospheric plasma and magnetic field at the earth's orbit during four solar cycles 20–23. In: H.E. Johannson, ed. Handbook on solar wind: in handbook on solar wind: effects, dynamics and interactions, NOVA Science Publishers, Inc., New York, pp. 81–144. eprint arXiv:1301.2929 [Google Scholar]
  • Dósa M, Erdős G. 2017. Long-term longitudinal recurrences of the open magnetic flux density in the heliosphere. Astrophys J 838: 104. DOI:102810.3847/1538-4357/aa657b [CrossRef] [Google Scholar]
  • Farrugia CJ, Harris B, Leitner M, Möstl C, Galvin AB, Simunac KDC, Torbert RB, Temmer MB, Veronig AM, Erkaev NV, Szabo A, Ogilvie KW, Luhmann JG, Osherovich VA. 2012. Deep solar activity minimum 2007–2009: solar wind properties and major effects on the terrestrial magnetosphere. Solar Phys 281: 461–489. DOI: 10.1007/s11207-012-0119-1 [Google Scholar]
  • Finch ID. 2008. The use of geomagnetic activity observations in studies of solar wind − magnetosphere coupling and centennial solar change, PhD thesis, Southampton University, Southampton, UK. [Google Scholar]
  • Finch ID, Lockwood M. 2007. Solar wind-magnetosphere coupling functions on timescales of 1 day to 1 year. Ann Geophys 25: 495–506. DOI:10.5194/angeo-25-495-2007. [Google Scholar]
  • Finlay CC, Maus S, Beggan CD, Bondar TN, Chambodut A, Chernova TA, Chulliat A, Golovkov VP, Hamilton B, Hamoudi M, Holme R, Hulot G, Kuang W, Langlais B, Lesur V, Lowes FJ, Lühr H, Macmillan S, Mandea M, McLean S, Manoj C, Menvielle M, Michaelis I, Olsen N, Rauberg J, Rother M, Sabaka TJ, Tangborn A, Tøffner-Clausen L, Thébault E, Thomson AWP, Wardinski I, Wei Z, Zvereva TI. 2010. International geomagnetic reference field: the eleventh generation. Geophys J Int 183: 1216–1230. DOI: 10.1111/j.1365-246X.2010.04804.x [NASA ADS] [CrossRef] [Google Scholar]
  • Goelzer ML, Smith CW, Schwadron NA, McCracken KG. 2013. An analysis of heliospheric magnetic field flux based on sunspot number from 1749 to today and prediction for the coming solar minimum. J Geophys Res: Space Phys 118: 7525–7531. DOI:10.1002/2013JA019404 [CrossRef] [Google Scholar]
  • Hapgood MA, Bowe G, Lockwood M, Willis DM, Tulunay Y. 1991. Variability of the interplanetary magnetic field at 1 A.U. over 24 years: 1963–1986. Planet Space Sci 39: 411–423. DOI:10.1016/0032-0633(91)90003-S [CrossRef] [Google Scholar]
  • Holappa L, Mursula K, Asikainen T. 2014. A new method to estimate annual solar wind parameters and contributions of different solar wind structures to geomagnetic activity. J Geophys Res Space Phys 119: 9407–9418. DOI:10.1002/2014JA020599 [Google Scholar]
  • Jackson A, Jonkers AR, Walker MR. 2000. Four centuries of geomagnetic secular variation from historical records. Philos T Roy Soc A 358: 957–990. DOI: 10.1098/rsta.2000.0569 [Google Scholar]
  • Karoff C, Inceoglu F, Knudsen MF, Olsen J, Fogtmann-Schulz A. 2015. The lost sunspot cycle: new support from 10Be measurements. Astron Astrophys 575: A77. DOI: 10.1051/0004-6361/201424927 [Google Scholar]
  • Lean J, Wang Y-M, Sheeley NR Jr. 2002. The effect of increasing solar activity on the Sun's total and open magnetic flux during multiple cycles: implications for solar forcing of climate. Geophys Res Lett 29: 2224. DOI:10.1029/2002GL015880 [Google Scholar]
  • Legrand JP, Simon PA. 1987. Two hundred years of auroral activity (1780–1979). Ann Geophys 5: 161–167. [Google Scholar]
  • Limpert E, Stahel WA, Abbt M. 2001. Log-normal distributions across the sciences: keys and clues: on the charms of statistics, and how mechanical models resembling gambling machines offer a link to a handy way to characterize log-normal distributions, which can provide deeper insight into variability and probability—normal or log-normal: that is the question. BioScience 51: 341–352. DOI:10.1641/0006-3568(2001)051[0341:LNDATS]2.0.CO;2 [CrossRef] [Google Scholar]
  • Lockwood M. 2001. Long-Term variations in the magnetic fields of the sun and the heliosphere: their origin, effects and implications. J Geophys Res 106: 16021–16038. DOI: 10.1029/1999JA000387 [NASA ADS] [CrossRef] [Google Scholar]
  • Lockwood M. 2003. Twenty-three cycles of changing open solar flux. J Geophys Res 108: 1128. DOI:10.1029/2002JA009431. [CrossRef] [Google Scholar]
  • Lockwood M. 2004. Solar outputs, their variations and their effects of Earth. In: J.D. Haigh, M. Lockwood, M.S. Giampapa, I. Rüedi, M. Güdel, W. Schmutz, eds., The Sun, solar analogs and the Climate. Proc. Saas-Fee Advanced Course, 34. Springer, pp. 107–304. ISBN: 3-540-23856-5. [Google Scholar]
  • Lockwood M. 2013. Reconstruction and prediction of variations in the open solar magnetic flux and interplanetary conditions. Living Rev Sol Phys 10: 4. DOI:10.12942/lrsp-2013-4 [CrossRef] [Google Scholar]
  • Lockwood M, Barnard L. 2015. An arch in the UK: a new catalogue of auroral observations made in the British Isles and Ireland. Astron Geophys 56: 4.25–4.30. DOI: 10.1093/astrogeo/atv132 [CrossRef] [Google Scholar]
  • Lockwood M, Fröhlich C. 2007. Recent oppositely directed trends in solar climate forcings and the global mean surface air temperature. Proc Roy Soc A 463: 2447–2460. DOI:10.1098/rspa.2007.1880. [NASA ADS] [CrossRef] [Google Scholar]
  • Lockwood M, Owens MJ. 2013. Implications of the recent low solar minimum for the solar wind during the Maunder minimum. Astrophys J 781: L7. DOI: 10.1088/2041-8205/781/1/l7 [CrossRef] [Google Scholar]
  • Lockwood M, Owens MJ. 2014. Centennial variations in sunspot number, open solar flux and streamer belt width: 3. Modelling. J Geophys Res Space Phys 119: 5193–5209. DOI:10.1002/2014JA019973 [CrossRef] [Google Scholar]
  • Lockwood M, Wild MN. 1993. On the quasi-periodic nature of magnetopause flux transfer events. J Geophys Res 98: 5935–5940 DOI:10.1029/92JA02375 [CrossRef] [Google Scholar]
  • Lockwood M, Stamper R, Wild MN. 1999. A doubling of the sun's coronal magnetic field during the last 100 years. Nature 399: 437–439. DOI:10.1038/20867 [NASA ADS] [CrossRef] [Google Scholar]
  • Lockwood M, Rouillard AP, Finch ID, Stamper R. 2006. Comment on the IDV index: its derivation and use in inferring long-term variations of the interplanetary magnetic field strength by Svalgaard and Cliver. J Geophys Res 111: A09109. DOI:10.1029/2006JA011640 [Google Scholar]
  • Lockwood M, Rouillard AP, Finch ID. 2009. The rise and fall of open solar flux during the current grand solar maximum. Astrophys J 700: 937–944. DOI:10.1088/0004-637X/700/2/937 [Google Scholar]
  • Lockwood M, Owens MJ, Barnard L. 2014a. Centennial variations in sunspot number, open solar flux and streamer belt width: 1. Correction of the sunspot number record since 1874. J Geophys Res Space Phys 119: 5172–5182. DOI:10.1002/2014JA019970 [Google Scholar]
  • Lockwood M, Nevanlinna H, Barnard L, Owens MJ, Harrison RG, Rouillard AP, Scott CJ. 2014b. Reconstruction of geomagnetic activity and near-earth interplanetary conditions over the past 167 years: 4. Near-Earth solar wind speed, IMF, and open solar flux. Ann Geophys 32: 383–399. DOI:10.5194/angeo-32-383-2014 [Google Scholar]
  • Lockwood M, Owens MJ, Barnard LA, Scott CJ, Usoskin IG, Nevanlinna H. 2016a. Tests of sunspot number sequences: 2. Using geomagnetic and auroral data. Sol Phys 291: 2811–2828. DOI:10.1007/s11207-016-0913-2 [Google Scholar]
  • Lockwood M, Owens MJ, Barnard ELA, Usoskin IG. 2016b. An assessment of sunspot number data composites over 1845–2014. Astrophys J 824: 54. DOI: 10.3847/0004-637X/824/1/54 [Google Scholar]
  • Lockwood M, Owens MJ, Barnard LA, Scott CJ, Watt CE. 2017a. Space climate and space weather over the past 400 years: 1. The power input to the magnetosphere. J Space Weather Space Clim 7. DOI:10.1051/swsc/2017019 [Google Scholar]
  • Lockwood M, Owens J, Imber SM, James MK, Bunce EJ, Yeoman TK. 2017b. Coronal and heliospheric magnetic flux circulation and its relation to open solar flux evolution. J Geophys Res Space Phys 122: 5870–5894. DOI:10.1002/2016JA023644 [CrossRef] [Google Scholar]
  • Love JJ, Rigler EJ, Pulkkinen A, Riley P. 2015. On the lognormality of historical magnetic storm intensity statistics: implications for extreme-event probabilities. Geophys Res Lett 42: 6544–6553. DOI:10.1002/2015GL064842. [CrossRef] [Google Scholar]
  • Mackay DH, Lockwood M. 2002. The evolution of the Sun's open magnetic flux: II. Full solar cycle simulations. Solar Phys 209: 287–309. DOI:10.1023/A:1021230604497 [Google Scholar]
  • Mackay DH, Priest ER, Lockwood M. 2002. The evolution of the Sun's open magnetic flux: I. A single bipole. Solar Phys 207: 291–308. DOI:10.1023/A:1016249917230. [NASA ADS] [CrossRef] [Google Scholar]
  • Mayaud P-N. 1972. The aa indices: a 100-year series characterizing the magnetic activity. J Geophys Res 77: 6870–6874. DOI:10.1029/JA077i034p06870 [NASA ADS] [CrossRef] [Google Scholar]
  • Mayaud P-N. Derivation, meaning and use of geomagnetic indices, Geophysical monograph, 22, American Geophysical Union, Washington, DC, 1980. DOI: 10.1029/GM022 [Google Scholar]
  • Menvielle M, Berthelier A. 1991. The K-derived planetary indices: description and availability. Rev Geophys 29: 415–432. DOI:10.1029/91RG00994. [CrossRef] [Google Scholar]
  • Newell PT, Gjerloev JW. 2011. Substorm and magnetosphere characteristic scales inferred from the SuperMAG auroral electrojet indices. J Geophys Res Space Phys 116 (A12): A12232. DOI: 10.1029/2011ja016936 [Google Scholar]
  • Owens MJ, Lockwood M. 2012. Cyclic loss of open solar flux since 1868: the link to heliospheric current sheet tilt and implications for the Maunder Minimum. J Geophys Res 117: A04102. DOI:10.1029/2011JA017193. [CrossRef] [Google Scholar]
  • Owens MJ, Crooker NU, Lockwood M. 2011. How is open solar magnetic flux lost over the solar cycle ? J Geophys Res 116: A04111. DOI:10.1029/2010JA016039 [CrossRef] [Google Scholar]
  • Owens MJ, Lockwood M, Usoskin I. 2012. Heliospheric modulation of galactic cosmic rays during grand solar minima: past and future variations. Geophys Res Lett 39: L19102. DOI:10.1029/2012GL053151 [NASA ADS] [CrossRef] [Google Scholar]
  • Owens MJ, Cliver E, McCracken K, Beer J, Barnard LA, Lockwood M, Rouillard AP, Passos D, Riley P, Usoskin IG, Wang Y-M. 2016a. Near-Earth heliospheric magnetic field intensity since 1800. Part 1: sunspot and geomagnetic reconstructions. J Geophys Res 121: 6048–6063. DOI:10.1002/2016JA022529 [CrossRef] [Google Scholar]
  • Owens MJ, Cliver E, McCracken K, Beer J, Barnard LA, Lockwood M, Rouillard AP, Passos D, Riley P, Usoskin IG, Wang Y-M. 2016b. Near-Earth heliospheric magnetic field intensity since 1800. Part 2: cosmogenic radionuclide reconstructions. J Geophys Res 121: 6064–6074. DOI:10.1002/2016JA022550. [CrossRef] [Google Scholar]
  • Owens MJ, Lockwood M, Riley P. 2017. Global solar wind variations over the last four centuries, Nature, Scientific Reports, 7, Article number 41548. DOI:10.1038/srep41548 [Google Scholar]
  • Rahmanifard F, Schwadron NA, Smith CW, McCracken KG, Duderstadt KA, Lugaz N, Goelzer ML. 2017. Inferring the heliospheric magnetic field back through maunder minimum. Astrophys J 837: 165/1–165/14. DOI:10.3847/1538-4357/aa6191 [CrossRef] [Google Scholar]
  • Redner S. 1990. Random multiplicative processes: an elementary tutorial. Am J Phys 58: 267–273. DOI:10.1119/1.16497 [CrossRef] [Google Scholar]
  • Riley P, Love JJ. 2017. Extreme geomagnetic storms: probabilistic forecasts and their uncertainties. Space Weather 15: 53–64. DOI:10.1002/2016SW001470 [NASA ADS] [CrossRef] [Google Scholar]
  • Riley P, Lionello R, Linker JA, Cliver E, Balogh A, Beer J, Charbonneau P, Crooker N, DeRosa M, Lockwood M, Owens M, McCracken K, Usoskin I, Koutchmy S. 2015. Inferring the structure of the solar corona and inner heliosphere during the maunder minimum using global thermodynamic mhd simulations. Astrophys J 802: 105. DOI:10.1088/0004-637X/802/2/105 [NASA ADS] [CrossRef] [Google Scholar]
  • Saba FMM, Gonzalez WD, Clua de GAL. 1997. Relationships between the AE, ap and Dst indices near solar minimum (1974) and at solar maximum (1979). Ann Geophys 15: 1265–1270. [CrossRef] [Google Scholar]
  • Schrijver CJ, DeRosa ML, Title AM. 2002. What is missing from our understanding of long-term solar and Heliospheric activity ? Astrophys J 577: 1006–1012. DOI: 10.1086/342247 [Google Scholar]
  • Solanki SK, Schüssler M, Fligge M. 2000. Evolution of the Sun's large-scale magnetic field since the Maunder minimum. Nature 480: 445–446. DOI:10.1038/35044027 [Google Scholar]
  • Solanki SK, Schüssler M, Fligge M. 2002. Secular evolution of the Sun's magnetic flux. Astron Astrophys 383: 706–712. DOI:10.1051/0004-6361:20011790 [Google Scholar]
  • Steinhilber F, Abreu JA, Beer J, McCracken KG. 2010. Interplanetary magnetic field during the past 9300 years inferred from cosmogenic radionuclides. J Geophys Res 115: A01104. DOI:10.1029/2009JA014193 [Google Scholar]
  • Tomita S, Nosé M, Iyemori T, Toh H, Takeda M, Matzka J, Bjornsson G, Saemundsson T, Janzhura A, Troshichev O, Schwarz G. 2011. Magnetic local time dependence of geomagnetic disturbances contributing to the AU and AL indices. Ann Geophys 29: 673–678. DOI: 10.5194/angeo-29-673-2011 [CrossRef] [Google Scholar]
  • Usoskin IG, Mursula K, Solanki SK, Schussler M, Kovaltsov GA. 2002. A physical reconstruction of cosmic ray intensity since 1610. J Geophys Res 107: 1374. DOI:10.1029/2002JA009343 [Google Scholar]
  • Usoskin IG, Arlt R, Asvestari E, Hawkins E, Käpylä M, Kovaltsov GA, Krivova N, Lockwood M, Mursula K, O’Reilly J, Owens M, Scott CJ, Sokoloff DD, Solanki SK, Soon W, Vaquero JM. 2015. The Maunder minimum (1645–1715) was indeed a Grand minimum: a reassessment of multiple datasets. Astron Astophys 581: A95. DOI:10.1051/0004-6361/201526652 [Google Scholar]
  • Vasyliunas VM, Kan JR, Siscoe GL, Akasofu S-I. 1982. Scaling relations governing magnetospheric energy transfer. Planet Space Sci 30: 359–365. DOI: 10.1016/0032-0633(82)90041-1 [CrossRef] [Google Scholar]
  • Veselovsky IS, Dmitriev AV, Suvorova AV. 2010. Lognormal, normal and other distributions produced by algebraic operations in the solar wind. AIP Conference Proceedings 1216: pp. 152–155. DOI:10.1063/1.3395824 [CrossRef] [Google Scholar]
  • Vieira LEA, Solanki SK. 2010. Evolution of the solar magnetic flux on time scales of years to millennia. Astron Astrophys 509: A100. DOI:10.1051/0004-6361/200913276. [Google Scholar]
  • Vörös Z, Leitner M, Narita Y, Consolini G, Kovács P, Tóth A, Lichtenberger J. 2015. Probability density functions for the variable solar wind near the solar cycle minimum. J Geophys Res Space Phys 120: 6152–6166. DOI:10.1002/2015JA021257. [Google Scholar]
  • Wang Y-M, Sheeley Jr. NR, 2002. Sunspot activity and the long-term variation of the Sun's open magnetic flux. J Geophys Res 107: 1302. DOI:10.1029/2001JA000500 [CrossRef] [Google Scholar]
  • Wang Y-M, Sheeley Jr. NR, 2013. The solar wind and interplanetary field during very low amplitude sunspot cycles. Astrophys J 764: 90. DOI:10.1088/0004-637X/764/1/90 [Google Scholar]
  • Wang Y-M, Lean J, Sheeley Jr. NR, 2002. Role of a variable meridional flow in the secular evolution of the sun's polar fields and open flux. Astrophys J 577: L53–L57. DOI: 10.1086/344196 [NASA ADS] [CrossRef] [Google Scholar]
  • Wang Y-M, Lean J, Sheeley Jr. NR, 2005. Modeling the Sun's magnetic field and irradiance since 1713. Astrophys J 625: 522–538. DOI:10.1086/429689 [NASA ADS] [CrossRef] [Google Scholar]
  • Weigel RS, Baker DN. 2003. Probability distribution invariance of 1-minute auroral-zone geomagnetic field fluctuations. Geophys Res Lett 30. DOI: 10.1029/2003gl018470 [Google Scholar]

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