Quantitative Characteristics of Correlations of Meteorological Data |
R. Rak a and S. Bwanakare b
aFaculty of Mathematics and Natural Sciences, University of Rzeszów, Rzeszów, Poland bUniversity of Information Technology and Management (WSIZ), Rzeszów, Poland |
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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. |
DOI: 10.12693/APhysPolA.129.922 PACS numbers: 89.75.-k, 89.75.Da, 89.65.Gh, 02.70.Rr |