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Growth rate of the world Growth Domestic Product (GDP) is analysed to determine possible pathways of the future economic growth. The analysis is based on using the latest data of the World Bank and it reveals that the growth rate between…

General Finance · Quantitative Finance 2015-11-03 Ron W Nielsen

The analysis of the demographic transition of the past century and a half, using both empirical data and mathematical models, has rendered a wealth of well-established facts, including the dramatic increases in life expectancy. Despite…

Populations and Evolution · Quantitative Biology 2018-07-02 Albert Solé-Ribalta , Javier Borge-Holthoefer

We consider the effect of non-constant parameters on the human-forest interaction logistic model coupled with human technological growth introduced in "Deforestation and world population sustainability: a quantitative analysis"[1]. In…

Populations and Evolution · Quantitative Biology 2021-12-21 Gerardo Aquino , Mauro Bologna

The share of the world population living in cities with more than one million people rose from 11% in 1975 to 24% in 2025 (our estimates). Will this trend towards greater concentration in large cities continue or level off? We introduce two…

Physics and Society · Physics 2026-03-31 Andrea Musso , Diego Rybski , Dirk Helbing , Frank Neffke

Concerns about declining or ageing populations often centre on the fear that fewer people will translate to a weaker economy and lower living standards. But these fears are frequently based on oversimplified or misapplied interpretations of…

General Economics · Economics 2025-08-26 Corey J. A. Bradshaw , Shana M. McDermott

Human population is at the centre of research on global environmental change. On the one hand, population dynamics influence the environment and the global climate system through consumption-based carbon emissions. On the other hand, health…

Other Statistics · Statistics 2021-02-02 Raya Muttarak

In this paper we afford a quantitative analysis of the sustainability of current world population growth in relation to the parallel deforestation process adopting a statistical point of view. We consider a simplified model based on a…

Populations and Evolution · Quantitative Biology 2020-06-23 Mauro Bologna , Gerardo Aquino

We show that a simple nonlinear differential equation (originally studied in the physics of disordered systems) is able to mathematically describe the global population growth over the past 12000 years. Different regimes of population…

Populations and Evolution · Quantitative Biology 2026-05-27 Alessio Zaccone , Kostya Trachenko

Growth of the world population and the world economic growth were hyperbolic in the past 2,000,000 years. Recently, from around 1950, they started to be diverted to slower trajectories but they are still close to the historical hyperbolic…

Physics and Society · Physics 2017-10-24 Ron W. Nielsen

Growth rate of real GDP per capita is represented as a sum of two components -- a monotonically decreasing economic trend and fluctuations related to a specific age population change. The economic trend is modeled by an inverse function of…

General Finance · Quantitative Finance 2008-12-02 Ivan O. Kitov

Analysis of the urban population fraction data for sixteen populous countries over the last fifty years reveals a universal increase in urbanization, exhibiting four qualitatively distinct temporal patterns: (i) continuously accelerating…

Physics and Society · Physics 2026-01-06 Neeraj Pandey , Abhineet Agarwal , Raju Roychowdhury , Karmeshu , Parth Pratim Pandey

Measures of wealth and production have been found to scale superlinearly with the population of a city. Therefore, it makes economic sense for humans to congregate together in dense settlements. A recent model of population dynamics showed…

Physics and Society · Physics 2016-12-28 James PL Tan

Once carbon emission neutrality and other sustainability goals have been achieved, a widespread assumption is that economic growth at current rates can be sustained beyond the 21st century. However, even if we achieve these goals, this…

Physics and Society · Physics 2020-05-12 Andreas M. Hein , Jean-Baptiste Rudelle

The growth rate of real GDP per capita in the biggest OECD countries is represented as a sum of two components - a steadily decreasing trend and fluctuations related to the change in some specific age population. The long term trend in the…

General Finance · Quantitative Finance 2012-05-28 Ivan Kitov , Oleg Kitov

Real GDP growth rate in developed countries is found to be a sum of two terms. The first term is the reciprocal value of the duration of the period of mean income growth with work experience, Tcr. The current value of Tcr in the USA is 40…

General Finance · Quantitative Finance 2008-12-02 Ivan O. Kitov

Daniel Kahneman and Amos Tversky argued for challenging inside views (informed by contextual specifics) with outside views (based on historical "base rates" for certain event types). A reasonable inside view of the prospects for the global…

General Economics · Economics 2026-05-12 David Roodman

We analyze mathematical models of the global human population growth and compare them to actual dynamics of the world population and of the world surplus product. We consider a possibility that the so-called world's demographic transition…

Physics and Society · Physics 2009-11-23 Michael Golosovsky

Data describing the growth of the world population in the past 12,000 years are analysed. It is shown that, if unchecked, population does not increase exponentially but hyperbolically. This analysis reveals three approximately-determined…

Populations and Evolution · Quantitative Biology 2016-01-21 Ron W. Nielsen

Classical ecological theory predicts that environmental stochasticity increases extinction risk by reducing the average per-capita growth rate of populations. To understand the interactive effects of environmental stochasticity, spatial…

Probability · Mathematics 2015-12-16 Steven N. Evans , Peter L. Ralph , Sebastian J. Schreiber , Arnab Sen

While the use of spatial agent-based and individual-based models has flourished across many scientific disciplines, the complexities these models generate are often difficult to manage and quantify. This research reduces population-driven,…

Physics and Society · Physics 2021-08-24 John C. Stevenson
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