The escape from the ‘Malthusian trap’ is shown to tend to generate in a rather systematic way quite serious political upheavals. Some demographic structural mechanisms that generate such upheavals have been analyzed, which has made it possible to develop a mathematical model of the respective processes. The forecast of political instability in Sub-Saharan African countries in 2015– 2050 produced on the basis of this model is presented.

The formation of the Afroeurasian world-system was one of the crucial points of social evolution, starting from which the social evolution rate and effectiveness increased dramatically. In the present article we analyze processes and scales of global integration in historical perspective, starting with the Agrarian Revolution. We connect the main phases of historical globalization with the processes of the development of the Afroeurasian world-system. In the framework of the Afroeurasian world-system the integration began a few thousand years BCE. In this (...) world-system the continental and supracontinental links became rather developed long before the Great Geographic Discoveries and thus, they could quite be denoted as global (albeit in a somehow limited sense). As some researchers are still inclined to underestimate the scale of those links in the pre-Industrial era, it appears necessary to provide additional empirical support for our statement. It also turns necessary to apply a special methodology (which necessitated the use of the world-system approach). We analyze some versions of periodization of globalization history. We also propose our own periodization of globalization history using as its basis the growing scale of intersocietal links as an indicator of the level of globalization development. (shrink)

Big History has been developing very fast indeed. We are currently observing a ‘Cambrian explosion’ in terms of its popularity and diffusion. Big History courses are taught in the schools and universities of several dozen countries, including China, Korea, the Netherlands, the USA, India, Russia, Japan, Australia, Great Britain, Germany, and many more. The International Big History Association (IBHA) is gaining momentum in its projects and membership. Conferences are beginning to be held regularly (this edited volume has been prepared on (...) the basis of the proceedings of the International Big History Association Inaugural Conference [see below for details]). Hundreds of researchers are involved in studying and teaching Big History. (shrink)

In the first part of this article we survey general similarities and differences between biological and social macroevolution. In the second (and main) part, we consider a concrete mathematical model capable of describing important features of both biological and social macroevolution. In mathematical models of historical macrodynamics, a hyperbolic pattern of world population growth arises from non-linear, second-order positive feedback between demographic growth and technological development. Based on diverse paleontological data and an analogy with macrosociological models, we suggest that the (...) hyperbolic character of biodiversity growth can be similarly accounted for by non-linear, second-order positive feedback between diversity growth and the complexity of community structure. We discuss how such positive feedback mechanisms can be modelled mathematically. (shrink)

Nikolay Kondratieff is known primarily for his theory of long cycles. However, it is worth recalling that he was among the first who started to investigate the nature of different economic cycles and their systematic interaction. Actually the primary classification of cycles into short, medium and long belongs to Kondratieff.

Issues of sociopolitical systems’ stability and risks of their destabi-lization in process of political transformations belong to the most important ones as regards the social development perspectives, as has been shown again by the recent events in Ukraine. In this re-spect it appears necessary to note that the transition to democracy may pose a serious threat to the stability of respective sociopolitical systems. This article studies the issue of democratization of countries within globalization context, it points to the unreasonably high (...) economic and social costs of a rapid transition to democracy as a result of revolutions or of similar large-scale events for the countries unprepared for it. The authors believe that in a number of cases the authoritarian regimes turn out to be more effective in economic and social terms in comparison with emerging democracies especially of the revolutionary type, which are often incapable to insure social order and may have a swing to authoritarianism. Effective authoritarian regimes can also be a suitable form of a transition to efficient and stable democracy. The article investigates various correlations between revolutionary events and possibilities of establishing democracy in a society on the basis of the historical and contemporary examples as well as the recent events in Egypt. The authors demonstrate that one should take into account a country’s degree of sociopolitical and cultural preparedness for democratic institutions. In case of favorable background, revolutions can proceed smoothly (“velvet revolutions”) with efficient outcomes. On the contrary, democracy is established with much difficulty, throwbacks, return to totalitarianism, and with outbreaks of violence and military takeovers in the countries with high illiteracy rate and rural population share, with low female status, with widespread religious fundamental ideology, where a substantial part of the population hardly ever hears of democracy while the liberal intellectuals idealize this form, where the opposing parties are not willing to respect the rules of democratic game when defeated at elections. (shrink)

In the first part of this article we survey general similarities and differences between biological and social macroevolution. In the second (and main) part, we consider a concrete mathematical model capable of describing important features of both biological and social macroevolution. In mathematical models of historical macrodynamics, a hyperbolic pattern of world population growth arises from non-linear, second-order positive feedback between demographic growth and technological development. Based on diverse paleontological data and an analogy with macrosociological models, we suggest that the (...) hyperbolic character of biodiversity growth can be similarly accounted for by non-linear, second-order positive feedback between diversity growth and the complexity of community structure. We discuss how such positive feedback mechanisms can be modelled mathematically. (shrink)

The present yearbook (which is the fourth in the series) is subtitled Trends & Cycles. It is devoted to cyclical and trend dynamics in society and nature; special attention is paid to economic and demographic aspects, in particular to the mathematical modeling of the Malthusian and post-Malthusian traps' dynamics. An increasingly important role is played by new directions in historical research that study long-term dynamic processes and quantitative changes. This kind of history can hardly develop without the application of mathematical (...) methods. There is a tendency to study history as a system of various processes, within which one can detect waves and cycles of different lengths – from a few years to several centuries, or even millennia. The contributions to this yearbook present a qualitative and quantitative analysis of global historical, political, economic and demographic processes, as well as their mathematical models. This issue of the yearbook consists of three main sections: (I) Long-Term Trends in Nature and Society; (II) Cyclical Processes in Pre-industrial Societies; (III) Contemporary History and Processes. We hope that this issue of the yearbook will be interesting and useful both for historians and mathematicians, as well as for all those dealing with various social and natural sciences. (shrink)

According to the working definition of the International Big History Association, ‘Big History seeks to understand the integrated history of the Cosmos, Earth, Life and Humanity, using the best available empirical evidence and scholarly methods’. In recent years Big History has been developing very fast indeed. Big History courses are taught in the schools and universities of several dozen countries. Hundreds of researchers are involved in studying and teaching Big History. The unique approach of Big History, the interdisciplinary genre of (...) history that deals with the grand narrative of 13.8 billion years, has opened up a vast amount of research agendas. Big History brings together constantly updated information from the scientific disciplines and merges it with the contemplative realms of philosophy and the humanities. It also provides a connection between the past, present, and future. Big History is a colossal and extremely heterogeneous field of research encompassing all the forms of existence and all timescales. Unsurprisingly, Big History may be presented in very different aspects and facets. In this volume the Big History is presented and discussed in three different ways. In its first part, Big History is explored in terms of methodology, theories of knowledge, as well as showcasing the personal approach of scholars to Big History. The second section comprises such articles that could clarify Big History's main trends and laws. The third part of this book explores the nature of teaching Big History as well as profiling a number of educational methods. This volume will be useful both for those who study interdisciplinary macroproblems and for specialists working in focused directions, as well as for those who are interested in evolutionary issues of Astrophysics, Geology, Biology, History, Anthropology, Linguistics and other areas of study. (shrink)