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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

Earth's future detectability depends upon the trajectory of our civilization over the coming centuries. Human civilization is also the only known example of an energy-intensive civilization, so our history and future trajectories provide…

General Physics · Physics 2019-02-22 Jacob Haqq-Misra

Most models that try to explain economic growth indicate exponential growth paths. In recent years, however, a lively discussion has emerged considering the validity of this notion. In the empirical literature dealing with drivers of…

Economics · Quantitative Finance 2018-03-06 Steffen Lange , Peter Pütz , Thomas Kopp

Economic growth is measured as the rate of relative change in gross domestic product (GDP) per capita. Yet, when incomes follow random multiplicative growth, the ensemble-average (GDP per capita) growth rate is higher than the time-average…

General Economics · Economics 2020-09-23 Alexander Adamou , Yonatan Berman , Ole Peters

Population genetics struggles to model extinction; standard models track the relative rather than absolute fitness of genotypes, while the exceptions describe only the short-term transition from imminent doom to evolutionary rescue. But…

Populations and Evolution · Quantitative Biology 2017-02-20 Jason Bertram , Kevin Gomez , Joanna Masel

How long a technological civilization remains active, and what determines whether it collapses or persists, is a central question for both projecting humanity's future and assessing the prevalence of detectable intelligence in the galaxy.…

Physics and Society · Physics 2026-04-16 Celia Blanco , Jacob Haqq-Misra , George Profitiliotis

The concept of fitness as a measure for a species's success in natural selection is central to the theory of evolution. We here investigate how reproduction rates which are not constant but vary in response to environmental fluctuations,…

Populations and Evolution · Quantitative Biology 2015-10-21 Anna Melbinger , Massimo Vergassola

The recent discovery of long term growth constants in the accumulation of atmospheric CO2, confirmed by two methods, enables analog methods for dating the beginning of climate change at ~1780 and projecting its near term future. Here we…

Physics and Society · Physics 2019-11-12 Jessie Lydia Henshaw

The Sun is expected to increase its radiant output by about 10% per billion years. The rate at which the radius of the Earth's orbit would need to increase in order to keep the present value of the Sun's radiant flux at the Earth constant…

Popular Physics · Physics 2017-11-27 Mark A. Wessels

Evolvability is the capacity to evolve. This paper introduces a simple computational model of evolvability and demonstrates that, under certain conditions, evolvability can increase indefinitely, even when there is no direct selection for…

Neural and Evolutionary Computing · Computer Science 2007-05-23 Peter D. Turney

One essential ingredient of evolutionary theory is the concept of fitness as a measure for a species' success in its living conditions. Here, we quantify the effect of environmental fluctuations onto fitness by analytical calculations on a…

Populations and Evolution · Quantitative Biology 2015-05-19 Anna Melbinger , Massimo Vergassola

Life on Earth has experienced numerous upheavals over its approximately 4 billion year history. In previous work we have discussed how interruptions to stability lead, on average, to increases in habitability over time, a tendency we called…

Populations and Evolution · Quantitative Biology 2024-05-09 Rudy Arthur , Arwen E. Nicholson , Nathan J. Mayne

Earlier meta-analyses of the economic impact of climate change are updated with more data, with three new results: (1) The central estimate of the economic impact of global warming is always negative. (2) The confidence interval about the…

General Economics · Economics 2022-08-30 Richard S. J. Tol

A fundamental problem in technological studies is how to measure the evolution of technology. The literature has suggested several approaches to measuring the level of technology (or state-of-the-art) and changes in technology. However, the…

Economics · Quantitative Finance 2018-03-26 Mario Coccia

The development of sport performances in the future is a subject of myth and disagreement among experts. As arguments favoring and opposing such methodology were discussed, other publications empirically showed that the past development of…

Other Statistics · Statistics 2014-01-30 Geoffroy Berthelot

Ecologists have long argued about the strength of density dependence and population regulation, respectively defined as the short-term and long-term rates of return to equilibrium. Here, I give three arguments for the intractability of…

Populations and Evolution · Quantitative Biology 2024-12-24 Evan C. Johnson

This work is based on the talk given by Csernai at the Blue Sky International Conference in the Buda Castle on October 30, 2015, Budapest, Hungary. The human development on the Earth is analysed based on basic physical principles and the…

Physics and Society · Physics 2016-12-21 Csernai László Pál , Papp István , Spinnangr Susanne Flø , Xie Yi-Long

We present a model for evolving population which maintains genetic polymorphism. By introducing random mutation in the model population at a constant rate, we observe that the population does not become extinct but survives, keeping…

Soft Condensed Matter · Physics 2009-10-31 H. Y. Lee , D. Kim , M. Y. Choi

It has been argued in the literature that if a universe is expanding with an accelerating rate indefinitely, it presents a challenge to string theories due to the existence of event horizons. We study the fate of a currently accelerating…

Astrophysics · Physics 2007-05-23 Xiao-Gang He

The spatio-temporal dynamics of a population present one of the most fascinating aspects and challenges for ecological modelling. In this article we review some simple mathematical models, based on one dimensional…

Populations and Evolution · Quantitative Biology 2008-11-18 A. B. Ryabov , B. Blasius