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