The analysis of the demographic component and of the demographic dimension of historical process has unfortunately not been sufficiently studied in the social sciences. The demographic development of humankind is even more rarely studied in its close connection with technological development. However, this is an extremely important aspect that can not only explain essential dimensions of the development, but also provide a basis for explaining current processes and forecasting our futures. Moreover, in many ways, it is an integral aspect of analysis, because it focuses on people, the population, that is the main subject of society and humanity. Accordingly, the changes in demographic parameters (both quantitative and qualitative) have an impact on the entire social system, from technology to ideology as well as on the World System at whole. Population growth is undoubtedly the most important driving force of the development of society. The most important subsystem of society, which constitutes its material basis, combines population and production. The link between demography and production is seemingly obvious, since, on the one hand, production determines population growth opportunities and, on the other hand, population size affects the production and other opportunities of a society. However, this relationship is not so simple and is also non-linear, and in addition, the correlation between the demographic and production components of societies changes significantly over the course of the historical process. It is also not always so easy to explain strong fluctuations and transformations in population dynamics. In the present study, the authors provide an analysis of the demographic development of humankind in its close connection with technological development, including the twenty-first century trends. This work, consisting of two articles, aims to provide a theoretical framework for the correlation between the development of production and technology, on the one hand, and demographic transformations, on the other, during the historical process, and to describe all major demographic transformations during human history. The work describes the historical types of population reproduction (TPR) and the reasons for their change. All this makes it possible to make a forecast about the vectors and main features of the coming demographic transformation in the twenty-first century. This (first) article describes theoretical approaches and models of the connection between production revolutions (Agrarian, Industrial and Cybernetic) and the largest demographic transformations, and also reflects important points influencing on population growth and its limitatio-ns. It is shown that the production revolution and the development of the production principle cycle in general change the type of population reproduction, and together they provide the most powerful impulse for the qualitative reorganization of the entire social structure and social relations and further world-system configurations. The authors conclude that every production revolution is followed by a fundamental change in demography. And vice versa, population growth causes such changes in society and inter-societal relations, communications and diffusion of innovations that it greatly accelerates technological development. However, there are many nuances and external inconsistencies in this correlation that require explanation. The latter are given in the second article, which also makes predictions about future demographic transformations.