An indispensable condition for setting strategy and programs of regional development, which stimulate solution of the tasks for increase of population's life quality, is a retrospective research of socio-economic performances for the purpose of determining the problem aspects and points of economic growth. Therewith, an assessment of economic development should be carried out within interrelation and interdependence of performances. In order to monitor modern economic state of Sevastopol and reveal its growth spurts, we need to uncover the current trends. The most true-to-life results were obtained using a system of simultaneous equations, which allows investigating the influence of external (exogenous) variables on endogenous ones that are integral and describing an economic state of the region. In the course of this study, we modelled economic processes depending on different levels of exogenous variables, which made it possible to reveal latent trends in the dynamic pattern of economic development of Sevastopol subject to irregular results of statistical conclusions.
Real-time monitoring of the state of ecological systems can contribute to early warning of their deviation from an equilibrium state (homeostasis) or a change that leads to a threat to human health or existence. In addition to the existing means of monitoring the state of ecological systems and models for predicting the assessment of their state in the future, it is proposed to use models of the frequency characteristics of these systems, monitoring of which can detect signals about the appearance of unwanted deviations from homeostasis in the form of a change in the frequency spectrum. A change in the frequency spectrum can be converted into the sound waveform, which will allow timely detection of this undesirable change in the state of the ecological system. As a new information channel and analysis of the dynamics of the state of ecological systems, in the article it is proposed to use the wavelet transform of time series with the subsequent translation of the totality of their harmonic vibrations into sound form. In contrast to the Fourier transform, in which the spectrum of stationary and non-stationary processes is practically indistinguishable and it is impossible to determine the moment of the appearance of a new harmonic, the wavelet transformation gives this opportunity. In addition to the purely utilitarian application of the conversion of the vibrational characteristics of an ecological system into sound form, it becomes be possible to convert them into the "music" of ecological systems, which may give a new direction for creative understanding of the state of nature.
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