Quantitative Characteristics of Correlations of Meteorological Data

• Authors: R. Rak , S. Bwanakare
• Languages of publication: EN

Abstracts

EN

This paper presents the quantitative characteristics of correlations (and cross-correlations) of plant main eco-factors i.e. the ground and over-ground temperature, the wind speed, and the humidity. The study is based upon hourly data statistical observations collected in the region of Lublin, in Poland for the period 2001.05.07-2009.04.10. This paper indicates that plant growth conditions constitute an emergent response to the above direct eco-factors. Then, the dynamics properties of each eco-factor is first analyzed alone for its multifractal structure. We apply the multifractal detrended correlation analysis and multifractal detrended cross-correlation analysis. We show that the widest multifractal spectrum is for over-ground temperature and the strongest power-law cross-correlations exist between ground and over-ground temperature. Next, an impulse response analysis is carried out to measure dynamical inter causalities within all the considered variables. As far as cross-impact between different eco-variables is concerned, one observes that the wind speed, the ground temperature and the air humidity dynamics are the most influenced, in terms of memory length time, by external temperature.

Keywords

EN

89.75.-k; 89.75.Da; 89.65.Gh; 02.70.Rr

Discipline

• 89.75.-k: Complex systems(for complex chemical systems, see 82.40.Qt; for biological complexity, see 87.18.-h)
• 89.65.Gh: Economics; econophysics, financial markets, business and management(for economic issues regarding production and use of renewable energy, see 88.05.Lg)
• 89.75.Da: Systems obeying scaling laws
• 02.70.Rr: General statistical methods

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2016
• Volume: 129
• Issue: 5
• Pages: 922-926

Dates

published

2016-05

Contributors

author

R. Rak

• Faculty of Mathematics and Natural Sciences, University of Rzeszów, Rzeszów, Poland

author

S. Bwanakare

• University of Information Technology and Management (WSIZ), Rzeszów, Poland

References

• [1] J. Kwapień, S. Drożdż, Phys. Rep. 515, 115 (2012), doi: 10.1016/j.physrep.2012.01.007
• [2] J.F. Muzy, E. Bacry, R. Baile, P. Poggi, Europhys. Lett. 82, 60007 (2008), doi: 10.1209/0295-5075/82/60007
• [3] P. Oświęcimka, J. Kwapień, S. Drożdż, Phys. Rev. E 74, 016103 (2006), doi: 10.1103/PhysRevE.74.016103
• [4] P. Oświęcimka, J. Kwapień, S. Drożdż, R. Rak, Acta Phys. Pol. B 36, 2447 (2005)
• [5] A.R. Subramaniam, L.A. Gruzberg, A.W.W. Ludwig, Phys. Rev. B 78, 245105 (2008), doi: 10.1103/PhysRevB.78.245105
• [6] P.Ch. Ivanov, A.N. Amaral, A.L. Goldberger, Sh. Havlin, M.G. Rosenblum, Z.R. Struzik, H.E. Stanley, Nature 399, 461 (1999), doi: 10.1038/20924
• [7] D. Makowiec, A. Dudkowska, R. Galąska, A. Rynkiewicz, Physica A 388, 3486 (2009), doi: 10.1016/j.physa.2009.05.005
• [8] A. Rosas, E. Nogueira Jr., J.F. Fontanari, Phys. Rev. E 66, 061906 (2002), doi: 10.1103/PhysRevE.66.061906
• [9] H.E. Stanley, P. Meakin, Nature 335, 405 (1988), doi: 10.1038/335405a0
• [10] V.V. Udovichenko, P.E. Strizhak, Theoret. Exp. Chem. 38, 259 (2002), doi: 10.1023/A:1020572016637
• [11] S. Drożdż, J. Kwapień, P. Oświęcimka, R. Rak, New J. Phys. 12, 105003 (2010), doi: 10.1088/1367-2630/12/10/105003
• [12] P. Oświęcimka, J. Kwapień, S. Drożdż, A.Z. Górski, R. Rak, Acta Phys. Pol. A 114, 547 (2008), doi: 10.12693/APhysPolA.114.547
• [13] W.X. Zhou, Europhys. Lett. 88, 28004 (2009), doi: 10.1209/0295-5075/88/28004
• [14] R.F. Voss, J. Clarke, Nature 258, 317 (1975), doi: 10.1038/258317a0
• [15] K.J. Hsu, A.J. Hsu, Proc. Natl. Acad. Sci. USA 87, 938 (1990), doi: 10.1073/pnas.87.3.938
• [16] G.R. Jafari, P. Pedram, L. Hedayatifar, J. Stat. Mech. 2007, P04012 (2007), doi: 10.1088/1742-5468/2007/04/P04012
• [17] Z.-Y. Su, T. Wu, Physica D 221, 188 (2006), doi: 10.1016/j.physd.2006.08.001
• [18] P. Oświęcimka, J. Kwapień, I. Celińska, S. Drożdż, R. Rak, arXiv: 1106.2902v1 http://arXiv.org/abs/1106.2902v1
• [19] Z. Wu, N.E. Huang, S.R. Long, C.-K. Peng, Proc. Natl. Acad. Sci. USA 104, 18889 (2007), doi: 10.1073/pnas.0706199104
• [20] J.W. Kantelhardt, S.A. Zschiegner, E. Koscielny-Bunde, S. Havlin, A. Bunde, H.E. Stanley, Physica A 316, 87 (2002), doi: 10.1016/S0378-4371(02)01383-3
• [21] S. Drożdż, J. Kwapień, P. Oświęcimka, R. Rak, Europhys. Lett. 88, 60003 (2009), doi: 10.1209/0295-5075/88/60003
• [22] D. Makowiec, A. Fuliński, Acta Phys. Pol. B 41, 1025 (2010)
• [23] P. Oświęcimka, S. Drożdż, M. Forczek, S. Jadach, J. Kwapień, Phys. Rev. E 89, 023305 (2014), doi: 10.1103/PhysRevE.89.023305
• [24] R. Rak, S. Drożdż, J. Kwapień, P. Oświęcimka, Europhys. Lett. 112, 48001 (2015), doi: 10.1209/0295-5075/112/48001
• [25] B. Podobnik, H.E. Stanley, Phys. Rev. Lett. 100, 084102 (2008), doi: 10.1103/PhysRevLett.100.084102
• [26] R. Rak, S. Drożdż, J. Kwapień, Physica A 374, 315 (2007), doi: 10.1016/j.physa.2006.07.035
• [27] B. Podobnik, D. Horvatic, A.M. Petersen, H.E. Stanley, Proc. Natl. Acad. Sci. USA 106, 22079 (2009), doi: 10.1073/pnas.0911983106
• [28] C. Sims, Econometrica 48, 1 (1980), doi: 10.2307/1912017
• [29] G. Koop, M.H. Pesaran, S.M. Potter, J. Econom. 74, 119 (1996), doi: 10.1016/0304-4076(95)01753-4
• [30] H. Hashem Pesaran, S. Yongcheol, Econom. Lett. 58, 17 (1997)
• [31] D. Asteriou, S.G. Hall, Applied Econometrics, 2nd ed., Palgrave MacMillan, London 2011, p. 319
• [32] W. Enders, Applied Econometric Time Series, 3rd ed., Wiley, New York 2010, p. 272
• [33] C.W.J. Granger, Econometrica 37, 424 (1969), doi: 10,2307/1912791
• [34] R.S. Hacker, A. Hatemi-J, J. Appl. Statist. 35, 601 (2008), doi: 10.1080/02664760801920473

Identifiers

DOI

10.12693/APhysPolA.129.922