Synchronization and uniformity assessment of economic and environmental fluctuations

The research states that phase synchronization of fluctuations indicates the areas of phase co-ordination, while the indicator of fluctuation homogeneity characterizes the difference of fluctuation amplitudes at a given time. From a practical point, it is important not only the presence of matches for common fluctuations (measured through homogeneity or synchronization), but the revealing of overwhelming number of matches is also essential, as it enables to identify the lagged trends in development. The paper discusses the approaches to evaluate homogeneity of fluctuations between the basic economic system and a comparative one on the basis of the similarity analysis of impulse-reaction and indicators of mutual correlation. It is indicated that the consistency in the dynamics of two economic variables could be investigated through the correlation of frequency matches, while the phase changes could be detected through leading / guided elements. In order to assess the similarity of business cycles between different national economies the trend deviation values of environmental and economic performance can be used. It is stated that the value of similarity of ecological and economic fluctuations of related economic systems (based on the normalized performance indicators) may be less than unity, because fluctuations can be synchronized imperfectly and / or have different amplitude. The paper analyzes the fluctuation calculation and evaluates cyclic synchronization components of NO2 and SO2 emissions for Germany and Poland.