A piecewise linear model for detecting climatic trends and their structural changes with application to mesosphere/lower thermosphere winds over Collm, Germany

Journal of Geophysical Research Atmospheres

Volumn 115, Issue 22, 2010, Pages

  Liu, R Q ^a,b   Jacobi, Ch ^a   Hoffmann, P ^a   Stober, G ^c   Merzlyakov, E G ^d  

^a UNIVERSITY OF LEIPZIG   (Germany)

^b Nanjing University of Information Science and Technology   (China)

^c UNIVERSITY OF ROSTOCK   (Germany)

^d Institute of Experimental Meteorology Science and Production Association   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

NORMAL DISTRIBUTION; PIECEWISE LINEAR TECHNIQUES; TIME SERIES; UNCERTAINTY ANALYSIS; WHITE NOISE;

ANNUAL MEAN; AUTO REGRESSIVE MODELS; BAYESIAN INFORMATION CRITERION; BREAK-POINTS; CANDIDATE MODELS; CLIMATIC TRENDS; GERMANY; GOODNESS OF FIT; MERIDIONAL WINDS; MESOSPHERE AND LOWER THERMOSPHERE; MESOSPHERE/LOWER THERMOSPHERES; NOISE TERMS; PIECEWISE LINEAR MODELS; PREVAILING WINDS; SCHWARZ; SECOND ORDERS; STRUCTURAL CHANGE;

WIND;

CLIMATE MODELING; MESOSPHERE; MONTE CARLO ANALYSIS; NUMERICAL MODEL; SEASONALITY; THERMOSPHERE; WIND PROFILE;

GERMANY; SAXONY;

EID: 78649521011     PISSN: 01480227     EISSN: None     Source Type: Journal    
DOI: 10.1029/2010JD014080     Document Type: Article

References (32)

1. Akmaev, R. A., V. I. Fomichev, and X. Zhu (2006), Impact of middleatmospheric composition changes on greenhouse cooling in the upper atmosphere, J. Atmos. Sol.-Terr. Phys., 68, 1879-1889. (Pubitemid 44743363)
2. Bai, J., and P. Perron (1998), Estimating and testing linear models with multiple structural changes, Econometrica, 66, 47-78. (Pubitemid 128467589)
3. Bremer, J., R. Schminder, K. M. Greisiger, P. Hoffmann, D. Kürschner, and W. Singer (1997), Solar cycle dependence and long-term trends in the wind field of the me sosphere/lower thermosphere, J. Atmos. Sol.-Terr. Phys., 59, 497-509. (Pubitemid 127417727)
4. Bremer, J., and U. Berger (2002), Mesospheric temperature trends derived from ground-based LF phase-height observations at mid-latitudes: comparison with model simulations, J. Atmos. Sol.-Terr. Phys., 64, 805-816. (Pubitemid 34781308)
5. Jacobi, Ch., R. Schminder, D. Kürschner, J. Bremer, K. M. Greisiger, P. Hoffmann, and W. Singer (1997), Long-term trends in the mesopause wind field obtained from D1 LF wind measurements at Collm, Germany, Adv. Space Res., 20, 2085-2088. (Pubitemid 127409105)
6. Jacobi, Ch., et al. (1999), Climatology of the semidiurnal tide at 52°N-56°N from ground-based radar wind measurements 1985-1995, J. Atmos. Sol.-Terr. Phys., 61, 975-991. (Pubitemid 30083309)
7. Jacobi, Ch., and D. Kürschner (2006), Long-term trends of MLT region winds over Central Europe, Phys. Chem. Earth, 31, 16-21. (Pubitemid 43677066)
8. Jacobi, Ch., P. Hoffmann, and D. Kürschner (2008), Trends in MLT region winds and planetary waves, Collm (52°N, 15°E), Ann. Geophys., 26, 1221-1232.
9. Jacobi, Ch., P. Hoffmann, R. Q. Liu, P. Križan, J. Laštovička, E. G. Merzlyakov, T. V. Solovjova, and Yu. I. Portnyagin (2009), Midlatitude mesopause region winds and waves and comparison with stratospheric variability, J. Atmos. Sol.-Terr. Phys., 71, 1540-1546.
10. Kürschner, D., and R. Schminder (1986), High-atmosphere wind profiles for altitudes between 90 and 110 km obtained from D1 LF measurements over central Europe in 1983/1984, J. Atmos. Terr. Phys., 48, 447-453.
11. Kürschner, D., and Ch. Jacobi (2003), Quasi-biennial and decadal variability obtained from long-term measurements of nighttime radio wave reflection heights over central Europe, Adv. Space Res., 32, 1701-1706. (Pubitemid 38047525)
12. Laštovička, J. (2009), Global pattern of trends in the upper atmosphere and ionosphere: Recent progress, J. Atmos. Sol.-Terr. Phys., 71, 1514-1528.
13. Laštovička, J., R. A. Akmaev, G. Beig, J. Bremer, J. T. Emmert, C. Jacobi, M. J. Jarvis, G. Nedoluha, Yu. I. Portnyagin, and T. Ulich (2008), Emerging pattern of global change in the upper atmosphere and ionosphere, Ann. Geophys., 26, 1255-1268.
14. Merzlyakov, E. G., Ch. Jacobi, Yu. I. Portnyagin, and T. V. Solovjova (2009), Structural changes in trend parameters of the MLT winds based on wind measurements at Obninsk (55°N, 37°E) and Collm (52°N, 15°E), J. Atmos. Sol.-Terr. Phys., 71, 1547-1557.
15. Ng, S., and P. Perron (2005), Practitioners' corner: a note on the selection of time series models, Oxford Bull. Econ. Stat., 67, 115-134.
16. Portnyagin, Yu. I., J. M. Forbes, G. J. Fraser, R. A. Vincent, S. K. Avery, I. A. Lysenko, and N. A. Makarov (1993), Dynamics of the Antarctic and Arctic mesosphere and lower thermosphere regions - I. The prevailing wind, J. Atmos. Terr. Phys., 55, 827-841. (Pubitemid 23381877)
17. Portnyagin, Yu. I., E. G. Merzlyakov, T. V. Solovjova, Ch. Jacobi, D. Kürschner, A. Manson, and C. Meek (2006), Long-term trends and year-to-year variability of mid-latitude mesosphere/lower thermosphere winds, J. Atmos. Sol.-Terr. Phys., 68, 1890-1901. (Pubitemid 44780656)
18. Press, W. H., S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery (1992), Transformation method: exponential and normal deviates, Numerical Recipes in Fortran 77, 2nd ed., Cambridge University Press, Cambridge, pp. 277-280.
19. Ramaswamy, V., M.-L. Chanin, J. Angell et al. (2001), Stratospheric temperature trends: observations and model simulations, Rev. Geophys., 39, 71-122, doi:10.1029/1999RG000065. (Pubitemid 32296466)
20. Randel, W. J., K. P. Shine, J. Austin et al. (2009), An update of observed stratospheric temperature trends, J. Geophys. Res., 114, D02107, doi:10.1029/2008JD010421.
21. Reinsel, G. C., E. C. Weatherhead, G. C. Tiao, A. J. Miller, R. M. Nagatani, D. J. Wuebbles, and L. E. Flynn (2002), On detection of turnaround and recovery in trend for ozone, J. Geophys. Res., 107 (D10), 4078, doi:10.1029/2001JD000500.
22. Reinsel, G. C., A. J. Miller, E. C. Weatherhead, L. E. Flynn, R. M. Nagatani, G. C. Tiao, and D. J. Wuebbles (2005), Trend analysis of total ozone data for turnaround and dynamical contributions, J. Geophys. Res., 110, D16306, doi:10.1029/2004JD004662. (Pubitemid 41431134)
23. Remsberg, E. E. (2009), Trends and solar cycle effects in temperature versus altitude from the Halogen Occultation Experiment for the mesosphere and upper stratosphere, J. Geophys. Res., 114, D12303, doi:10.1029/2009JD011897.
24. Romeu, J. L. (2003), Anderson-Darling: a goodness of fit test for small samples assumptions, Reliab. Anal. Cent. Select. Top. Assurance Relat. Technol., 10, 1-6.
25. Seidel, D. J., and J. R. Lanzante (2004), An assessment of three alternatives to linear trends for characterizing global atmospheric temperature changes, J. Geophys. Res., 109, D14108, doi:10.1029/2003JD004414. (Pubitemid 39364464)
26. Shepherd, T. G. (2000), The middle atmosphere, J. Atmos. Sol.-Terr. Phys., 62, 1587-1601.
27. Sprenger, K., and R. Schminder (1969), On some relationships between correlation analysis and similar-fade analysis results of drift measurements in the lower ionosphere, J. Atmos. Terr. Phys., 31, 1085-1098.
28. Stephens, M. A. (1974), EDF Statistics for goodness of fit and some comparisons, J. Am. Stat. Assoc., 69, 730-737.
29. Swanson, K. L., and A. A. Tsonis (2009), Has the climate recently shifted? Geophys. Res. Lett., 36, L06711, doi:10.1029/2008GL037022.
30. Tomé, A. R., and P. M. A. Miranda (2004), Piecewise linear fitting and trend changing points of climate parameters, Geophys. Res. Lett., 31, L02207, doi:10.1029/2003GL019100.
31. Tomé, A. R., and P. M. A. Miranda (2005), Continuous partial trends and low-frequency oscillations of time series, Nonlinear Proc. Geophys., 12, 451-460.
32. Wang, J., and E. Zivot (2000), A Bayesian time series model of multiple structural changes in level, trend and variance, J. Bus. Econ. Stat., 18, 374-386.