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Many large cities are found at locations with certain first nature advantages. Yet, those exogenous locational features may not be the most potent forces governing the spatial pattern of cities. In particular, population size, spacing and…

General Economics · Economics 2019-08-27 Tomoya Mori

Organisms shape their own environment, which in turn affects their survival. This feedback becomes especially important for communities containing a large number of species; however, few existing approaches allow studying this regime,…

Populations and Evolution · Quantitative Biology 2017-02-01 Mikhail Tikhonov , Remi Monasson

Populations of species in ecosystems are often constrained by availability of resources within their environment. In effect this means that a growth of one population, needs to be balanced by comparable reduction in populations of others.…

Populations and Evolution · Quantitative Biology 2016-02-17 Sergei Maslov , Kim Sneppen

Prevailing hypotheses recognize cities as 'super-organisms' which both provides organizing principles for cities and fills the scalar gap in the hierarchical living system between ecosystems and the entire planet. However, most analogies…

The power law is ubiquitous in natural and social phenomena, and is considered as a universal relationship between the frequency and its rank for diverse social systems. However, a general model is still lacking to interpret why these…

Computation and Language · Computer Science 2016-09-27 Shuiyuan Yu , Junying Liang , Haitao Liu

The extinction of species is a core process that affects the diversity of life on Earth. One way of investigating the causes and consequences of extinctions is to build conceptual ecological models, and to use the dynamical outcomes of such…

Populations and Evolution · Quantitative Biology 2017-11-28 Sergey A. Vakulenko , Ivan Sudakov , Luke Mander

We are interested in modelling Darwinian evolution, resulting from the interplay of phenotypic variation and natural selection through ecological interactions. Our models are rooted in the microscopic, stochastic description of a population…

Probability · Mathematics 2016-08-16 Nicolas Champagnat , Régis Ferrière , Sylvie Méléard

A simulation model of a population having internal (genetic) structure is presented. The population is subject to selection pressure coming from the environment which is the same in the whole system but changes in time. Reproduction has a…

Adaptation and Self-Organizing Systems · Physics 2012-08-31 Andrzej Pekalski , Marcel Ausloos

Many models of market dynamics make use of the idea of wealth exchanges among economic agents. A simple analogy compares the wealth in a society with the energy in a physical system, and the trade between agents to the energy exchange…

Physics and Society · Physics 2010-07-14 J. R. Iglesias

The science of cities seeks to understand and explain regularities observed in the world's major urban systems. Modelling the population evolution of cities is at the core of this science and of all urban studies. Quantitatively, the most…

Physics and Society · Physics 2021-10-14 Vincent Verbavatz , Marc Barthelemy

In large asexual populations, multiple beneficial mutations arise in the population, compete, interfere with each other, and accumulate on the same genome, before any of them fix. The resulting dynamics, although studied by many authors, is…

Populations and Evolution · Quantitative Biology 2015-06-11 Daniel S. Fisher

Depletion of natural and artificial resources is a fundamental problem and a potential cause of economic crises, ecological catastrophes, and death of living organisms. Understanding the depletion process is crucial for its further control…

Statistical Mechanics · Physics 2022-05-06 Denis S. Grebenkov

We study how urban quality evolves as a result of carbon dioxide emissions as urban agglomerations grow. We employ a bottom-up approach combining two unprecedented microscopic data on population and carbon dioxide emissions in the…

Physics and Society · Physics 2014-09-15 E. A. Oliveira , J. S. Andrade , H. A. Makse

This chapter is about Complexity and Spatial Dynamics in Urban Systems. Strong inequalities in the size of cities and the apparent difficulty of limiting their growth raise practical issues for spatial planning. At a time when new…

Physics and Society · Physics 2020-10-29 Juste Raimbault , Denise Pumain

Complex systems throughout Nature display structures and functions that are built and maintained, at least in part, by optimal energies flowing through them--not specific, ideal values, rather ranges in energy rate density below which…

Popular Physics · Physics 2014-06-25 Eric J. Chaisson

In this work we suggest and consider an original, simple mathematical model of a "quasi-rapid" extinction population dynamics. It describes a decrease and final extinction of the population of one prey species by a "quasi-rapid" interaction…

Populations and Evolution · Quantitative Biology 2007-05-23 Vladan Pankovic , Rade Glavatovic , Nikola Vunduk , Dejan Banjac , Nemanja Marjanovic , Milan Predojevic

Biological systems reach organizational complexity that far exceeds the complexity of any known inanimate objects. Biological entities undoubtedly obey the laws of quantum physics and statistical mechanics. However, is modern physics…

Other Quantitative Biology · Quantitative Biology 2018-02-26 Mikhail I. Katsnelson , Yuri I. Wolf , Eugene V. Koonin

Ecological patterns arise from the interplay of many different processes, and yet the emergence of consistent phenomena across a diverse range of ecological systems suggests that many patterns may in part be determined by statistical or…

Populations and Evolution · Quantitative Biology 2015-11-16 Xiao Xiao , James P. O'Dwyer , Ethan P. White

The origin and shape of metabolic scaling has been controversial since Kleiber found that basal metabolic rate of animals seemed to vary as a power law of their body mass with exponent 3/4, instead of 2/3, as a surface-to-volume argument…

The processes and mechanisms underlying the origin and maintenance of biological diversity have long been of central importance in ecology and evolution. The competitive exclusion principle states that the number of coexisting species is…

Populations and Evolution · Quantitative Biology 2020-12-02 Michael Doebeli , Eduardo Cancino Jaque , Iaroslav Ispolatov
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