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Populations of replicating entities frequently experience sudden or cyclical changes in environment. We explore the implications of this phenomenon via a environmental switching parameter in several common evolutionary dynamics models…

Dynamical Systems · Mathematics 2013-06-12 Marc Harper , Dashiell Fryer , Andrew Vlasic

We study the dynamics of an age-structured population in which the life expectancy of an offspring may be mutated with respect to that of its parent. When advantageous mutation is favored, the average fitness of the population grows…

Statistical Mechanics · Physics 2009-10-31 W. Hwang , P. L. Krapivsky , S. Redner

In the past decades human activities caused global Earth system changes, e.g., climate change or biodiversity loss. Simultaneously, these associated impacts have increased environmental awareness within societies across the globe, thereby…

Physics and Society · Physics 2021-05-11 Paul Manuel Müller , Jobst Heitzig , Jürgen Kurths , Kathy Lüdge , Marc Wiedermann

Ignoring the differences between countries, human reproductive and dispersal behaviors can be described by some standardized models, so whether there is a universal law of population growth hidden in the abundant and unstructured data from…

Physics and Society · Physics 2024-02-08 Jiajun Ma , Qinghua Chen , Xiaosong Chen , Jingfang Fan , Xiaomeng Li , Yi Shi

We analyze the fluctuations in the gross domestic product (GDP) of 152 countries for the period 1950--1992. We find that (i) the distribution of annual growth rates for countries of a given GDP decays with ``fatter'' tails than for a…

Statistical Mechanics · Physics 2009-10-31 Youngki Lee , Luis A. N. Amaral , David Canning , Martin Meyer , H. Eugene Stanley

The search for universal laws that help establish a relationship between dynamics and computation is driven by recent expansionist initiatives in biologically inspired computing. A general setting to understand both such dynamics and…

Machine Learning · Computer Science 2020-09-17 G Manjunath

Ten years ago we presented a modified version of Okun law for the biggest developed economies and reported its excellent predictive power. In this study, we revisit the original models using the estimates of real GDP per capita and…

General Economics · Economics 2021-04-13 Ivan Kitov

Taking as a hypothesis a form of the labour theory of value, and $without$ $assuming$ $equilibrium$, we derive an equation that yields the profit-rate $\pi$ as a function of time. For a mature economy, $\pi(t)$ reduces to the product of two…

Economics · Quantitative Finance 2017-05-09 Rafael D. Sorkin

The Price equation shows the unity between the fundamental expressions of change in biology, in information and entropy descriptions of populations, and in aspects of thermodynamics. The Price equation partitions the change in the average…

Statistical Mechanics · Physics 2017-05-23 Steven A. Frank

Long-term evolutionary processes can strongly influence common-pool resource conservation by generating new traits or behaviours that modify the feedback between population strategies and the resource state. Here we develop an…

Populations and Evolution · Quantitative Biology 2026-01-27 Prosanta Mandal , Suman Chakraborty , Vaibhav Madhok , Sagar Chakraborty

We estimate cumulative CO2 emissions during the period 2000 to 2050 from developed and developing countries based on the empirical relationship between CO2 per capita emissions (due to fossil fuel combustion and cement production) and…

Physics and Society · Physics 2012-02-21 Luís Costa , Diego Rybski , Jürgen P. Kropp

A computable estimate of the readiness coefficient for a standard binary-state system is established in the case where both working and repair time distributions possess heavy tails.

Probability · Mathematics 2015-12-07 Alexander Veretennikov , Galina Zverkina

The unprecedented extension of the human lifespan necessitates a parallel evolution in how we quantify the quality of aging and its socioeconomic impact. Traditional metrics focusing on Healthspan (years free of disease) overlook the…

Quantitative Methods · Quantitative Biology 2026-03-19 Alex Zhavoronkov , Dominika Wilczok

Understanding sequential community recovery milestones is crucial for proactive recovery planning and monitoring. This study investigates these milestones related to population activities to examine their temporal interdependencies and…

Computational Engineering, Finance, and Science · Computer Science 2024-06-24 Flavia Ioana Patrascu , Ali Mostafavi

Do governments adjust budgetary policy to rising public debt, precluding fiscal unsustainability? Using budget data for 52 industrial and emerging economies since 1990, we apply panel methods accounting for cross-sectional dependence and…

General Economics · Economics 2025-07-18 Paolo Canofari , Alessandro Piergallini , Marco Tedeschi

A common expectation is that career productivity peaks rather early and then gradually declines with seniority. But whether this holds true is still an open question. Here we investigate the productivity trajectories of almost 8,500…

Physics and Society · Physics 2024-08-14 Andre S. Sunahara , Matjaz Perc , Haroldo V. Ribeiro

The global population growth from 10,000 BC to 2023 is discussed within the Verhulst scaling equation and its extensions framework. The analysis focuses on per the capita global population rate coefficient Gp(P)=[dP(t)/P(t)]/dt=dlnP(t)/d,…

Physics and Society · Physics 2024-06-21 Agata Angelika Sojecka , Aleksandra Drozd-Rzoska

Environmental changes greatly influence the evolution of populations. Here, we study the dynamics of a population of two strains, one growing slightly faster than the other, competing for resources in a time-varying binary environment…

Populations and Evolution · Quantitative Biology 2020-07-28 Ami Taitelbaum , Robert West , Michael Assaf , Mauro Mobilia

The dynamics of two competing species in a finite size community is one of the most studied problems in population genetics and community ecology. Stochastic fluctuations lead, inevitably, to the extinction of one of the species, but the…

Populations and Evolution · Quantitative Biology 2016-11-30 Matan Danino , David A. Kessler , Nadav M. Shnerb

The chronological age used in demography describes the linear evolution of the life of a living being. The chronological age cannot give precise information about the exact developmental stage or aging processes an organism has reached. On…

Analysis of PDEs · Mathematics 2023-10-02 Jacques Demongeot , Pierre Magal