STUDYING CHANGES IN GLOBAL CLIMATE AS A COMPLEX SYSTEM USING WAVELET PHASE-FREQUENCY FUNCTIONS, PHASE-FREQUENCY AND PHASE-TEMPORAL CHARACTERISTICS OF HELOCOSMIC AND CLIMATIC VARIABLES. PART 1

Abstract

The relevance of the research is caused by the need to establish the true causes and patterns of global climate change on Earth. The aim of the research is to develop and propose an effective method for extracting information on the variability of variables contained in the initial data of changes in heliocosmic and climate variables specified in the form of time series and apply this method to substantiate climatic changes on Earth. Objects: time series of changes in heliocosmic and climate variables. Methods: continuous direct wavelet transform of source data using a complex wavelet with the calculation of their time wavelet phase-frequency functions, phase-frequency and phase-time characteristics; evaluation of the frequency spectrum of functions on the phase-time characteristics of variables; assessment and analysis of density distribution of phase-frequency and phase-time characteristics; evaluation and analysis of correlation coefficients between the phase-frequency and phase-time characteristics of variables in equal time intervals. Results. The author has obtained the wavelet time phase-frequency functions and their images, which allow visualizing and estimating the periodicity spectra of the studied variables. Estimates are obtained for the wavelet phase-frequency and phase-time characteristics of the variables, which make it possible to carry out the full range of comparative studies of the variables and to establish the patterns of their changes. These studies include: estimating the densities of distributions of these characteristics, which allow identifying the factors influencing these changes; calculation of correlation matrices between wavelet phase-frequency and phase-time characteristics of variables in specified equal time intervals, which allows assessing the degree of consistency of changes in variables in the phase-frequency domain and in the area of ​​phase-time changes. A close relationship was established between the oscillatory processes of heliocosmic variables, solar activity and volcanic processes on Earth, and changes in carbon dioxide concentration in the atmosphere. It is shown that the movement of the Sun relative to the barycenter, caused by the movement of the giant planets of the Solar System, controls solar activity, tectonic processes on the Earth, including volcanic eruptions, the climate on the Earth.

Keywords

• global climate change
• continuous direct wavelet transform
• wavelet time phase-frequency function
• wavelet phase-frequency and phase-time characteristics
• correlation coefficients