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The eco-evolutionary dynamics of species are fundamentally linked to the energetic constraints of its constituent individuals. Of particular importance is the interplay between reproduction and the dynamics of starvation and recovery. To…

Populations and Evolution · Quantitative Biology 2017-11-13 Justin D. Yeakel , Christopher P. Kempes , Sidney Redner

We show that energy concepts can contribute to the understanding of human travel behaviour. First, the average travel times for different modes of transportation are inversely proportional to the energy consumption rates measured for the…

Statistical Mechanics · Physics 2009-11-10 Robert Koelbl , Dirk Helbing

In the present work we study the relationship between population allocation and the combined effects of urban size and energy consumption, for two given areas and through a major part of the twentieth century. Along these lines a general…

Physics and Society · Physics 2016-06-17 Josep M Casas-Busquet , Agustí Poch-Parés

A general procedure to formulate asexual (unstructured, deterministic) population dynamical models resulting from individual pairwise interactions is proposed. Individuals are characterized by a continuous strategy that represents all their…

Populations and Evolution · Quantitative Biology 2014-11-04 Fabio Dercole

Much of today's sustainability discourse emphasizes efficiency, clean technologies, and smart systems, but largely underestimates fundamental physical constraints relating to energy-matter interactions. These constraints stem from the fact…

Physics and Society · Physics 2025-12-12 José Halloy , Petros Chatzimpiros , François Graner , Thomas Gregor

We look at buildings' competition over space in cities through the lens of ecology. Adopting the convex hull of the building's footprint perimeter as a definition of species yields parallels to forest trees' competition, which we expound…

Physics and Society · Physics 2020-12-02 Tarek Tohme , Martin Grant , Sara Najem

Population-level scaling in ecological systems arises from individual growth and death with competitive constraints. We build on a minimal dynamical model of metabolic growth where the tension between individual growth and mortality…

Populations and Evolution · Quantitative Biology 2022-05-11 Edward D. Lee , Christopher P. Kempes , Geoffrey B. West

Interaction with its immediate environment determines the ecology of an organism. Species present in any habitat, wild or urban, may face extreme pressure due to sudden perturbations. When such disturbances are unpredictable, it becomes…

Populations and Evolution · Quantitative Biology 2022-08-12 Debottam Bhattacharjee , Anindita Bhadra

The recent availability of data for cities has allowed scientists to exhibit scalings which present themselves in the form of a power-law dependence with population of various socio-economical and structural indicators. We propose here a…

Physics and Society · Physics 2014-07-18 Rémi Louf , Marc Barthelemy

We discuss the population dynamics with selection and random diffusion, keeping the total population constant, in a fitness landscape associated with Constraint Satisfaction, a paradigm for difficult optimization problems. We obtain a phase…

Populations and Evolution · Quantitative Biology 2016-11-23 Tommaso Brotto , Guy Bunin , Jorge Kurchan

We present a simple model for describing the dynamics of the interaction between a homogeneous population or society, and the natural resources and reserves that the society needs for its survival. The model is formulated in terms of…

Physics and Society · Physics 2020-04-22 Basil Grammaticos , Ralph Willox , Junkichi Satsuma

Human settlements on Earth are scattered in a multitude of shapes, sizes and spatial arrangements. These patterns are often not random but a result of complex geographical, cultural, economic and historical processes that have profound…

Physics and Society · Physics 2021-06-03 Emanuele Strano , Filippo Simini , Marco De Nadai , Thomas Esch , Mattia Marconcini

This paper presents a physical perspective on the human migration phenomenon claiming that human social behaviors are somehow but not completely inspired by nature. Human displacement or migration in the world is highly affected by…

Physics and Society · Physics 2022-01-19 Mina Ghanbari , Ghader Rezazadeh

Human crowds often bear a striking resemblance to interacting particle systems, and this has prompted many researchers to describe pedestrian dynamics in terms of interaction forces and potential energies. The correct quantitative form of…

Physics and Society · Physics 2014-12-04 Ioannis Karamouzas , Brian Skinner , Stephen J. Guy

Anthropisation and excessive hunting in tropical forests threaten biodiversity, ecosystem maintenance and human food security. In this article, we focus on the issue of coexistence between humans and wildlife in an anthropised environment.…

Dynamical Systems · Mathematics 2025-11-07 Yves Dumont , Marc Hétier , Valaire Ivric Yatat-Djeumen

We investigate the thermodynamics as well as the population dynamics of ecosystems based on a stochastic approach in which the number of individuals of the several species of the ecosystem are treated as stochastic variables. The several…

Statistical Mechanics · Physics 2024-05-31 Tânia Tomè , Mário J. de Oliveira

The Anthropocene is characterized by close interdependencies between the natural Earth system and the human society, posing novel challenges to model development. Here we present a conceptual model describing the long-term coevolution of…

Physics and Society · Physics 2017-02-06 Jan Nitzbon , Jobst Heitzig , Ulrich Parlitz

Orderliness, reflected via mathematical laws, is encountered in different frameworks involving social groups. Here we show that a thermodynamics can be constructed that macroscopically describes urban population flows. Microscopic dynamic…

Physics and Society · Physics 2015-04-30 A. Hernando , A. Plastino

Overpopulation and environmental degradation due to inadequate resource-use are outcomes of human's ecosystem engineering that has profoundly modified the world's landscape. Despite the age-old concern that unchecked population and economic…

Populations and Evolution · Quantitative Biology 2019-04-26 Guilherme M. Lopes , José F. Fontanari

A general multi-type population model is considered, where individuals live and reproduce according to their age and type, but also under the influence of the size and composition of the entire population. We describe the dynamics of the…

Probability · Mathematics 2019-03-13 Jie Yen Fan , Kais Hamza , Peter Jagers , Fima C. Klebaner