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Modern ecology has re-emphasized the need for a quantitative understanding of the original 'survival of the fittest theme' based on analyzis of the intricate trade-offs between competing evolutionary strategies that characterize the…

种群与进化 · 定量生物学 2015-06-16 Jacopo Grilli , Samir Suweis , Amos Maritan

Spatial distribution of the human population is distinctly heterogeneous, e.g. showing significant difference in the population density between urban and rural areas. In the historical perspective, i.e. on the timescale of centuries, the…

适应与自组织系统 · 物理学 2022-08-30 Anna Zincenko , Sergei Petrovskii , Vitaly Volpert

We explore how physical scale and population size shape the emergence of complex behaviors in open-ended ecological environments. In our setting, agents are unsupervised and have no explicit rewards or learning objectives but instead evolve…

Discrete time, spatially extended models play an important role in ecology, modelling population dynamics of species ranging from micro-organisms to birds. An important question is how 'bottom up', individual-based models can be…

种群与进化 · 定量生物学 2023-01-20 Linnéa Gyllingberg , David J. T. Sumpter , Åke Brännström

Involution, a phenomenon of excessive competition with diminishing returns, has become a pressing socio-economic concern in contemporary China, prompting both academic inquiry and policy interventions. This paper proposes an evolutionary…

物理与社会 · 物理学 2026-03-16 Bo Li , Qiwen Ge , Yong Shi

An array system of coupled maps is proposed as a model for economy evolution. The local dynamics of each map or agent is controlled by two parameters. One of them represents the growth capacity of the agent and the other one is a control…

适应与自组织系统 · 物理学 2008-12-02 J. R. Sanchez , R. Lopez-Ruiz

Over the past century, nonlinear difference and differential equations have been used to understand conditions for species coexistence. However, these models fail to account for random fluctuations due to demographic and environmental…

种群与进化 · 定量生物学 2019-02-12 Sebastian J. Schreiber

Increasing pressures on the environment are generating an ever-increasing need to manage animal and plant populations sustainably, and to protect and rebuild endangered populations. Effective management requires reliable mathematical…

统计方法学 · 统计学 2009-09-29 Stephen T. Buckland , Ken B. Newman , Carmen Fernández , Len Thomas , John Harwood

The abundance of a species' population in an ecosystem is rarely stationary, often exhibiting large fluctuations over time. Using historical data on marine species, we show that the year-to-year fluctuations of population growth rate obey a…

适应与自组织系统 · 物理学 2015-06-02 Jie Sun , Sean P. Cornelius , John Janssen , Kimberly A. Gray , Adilson E. Motter

We study an agent-based model of evolution of wealth distribution in a macro-economic system. The evolution is driven by multiplicative stochastic fluctuations governed by the law of proportionate growth and interactions between agents. We…

物理与社会 · 物理学 2019-11-22 Zdzislaw Burda , Pawel Wojcieszak , Konrad Zuchniak

In this paper we analyze urban spatial segregation phenomenon in terms of the income distribution over a population, and inflationary parameter weighting the evolution of housing prices. For this, we develop a discrete, spatially extended…

适应与自组织系统 · 物理学 2007-08-29 Antonio Aguilera , Edgardo Ugalde

Growth is a multi-layered phenomenon in human societies, composed of socioeconomic and demographic change at many different scales. Yet, standard macroeconomic indicators average over most of these processes, blurring the spatial and…

物理与社会 · 物理学 2025-11-11 Jordan T Kemp , Laura Fürsich , Luís M A Bettencourt

We propose a simple model that describes the dynamics of efficiencies of competing agents. Agents communicate leading to increase of efficiencies of underachievers, and an efficiency of each agent can increase or decrease irrespectively of…

统计力学 · 物理学 2009-10-31 S. N. Majumdar , P. L. Krapivsky

Many analyses of resource-allocation problems employ simplistic models of the population. Using the example of a resource-allocation problem of Marecek et al. [arXiv:1406.7639], we introduce rather a general behavioural model, where the…

最优化与控制 · 数学 2025-09-09 Jonathan Epperlein , Jakub Marecek

The dynamic theory of inhomogeneous populations developed during the last decade predicts several essential new dynamic regimes applicable even to the well-known, simple population models. We show that, in an inhomogeneous population with a…

种群与进化 · 定量生物学 2007-05-23 Georgy P. Karev

Understanding how species persist under interacting stressors is a central challenge in ecology. We develop a spatially explicit reaction-diffusion framework to investigate competing species in landscapes shaped by climate variability,…

种群与进化 · 定量生物学 2026-02-02 Ton Viet Ta

Many models of population dynamics are formulated as deterministic iterated maps although real populations are stochastic. This is justifiable in the limit of large population sizes, as the stochastic fluctuations are negligible then.…

种群与进化 · 定量生物学 2025-09-16 Snehal M. Shekatkar

Human dynamics and sociophysics suggest statistical models that may explain and provide us with better insight into social phenomena. Here we tackle the problem of determining the distribution of the population density of a social space…

物理与社会 · 物理学 2020-02-18 Mark Levene , Trevor Fenner

We present an individual based model of evolutionary ecology. The reproduction rate of individuals characterized by their genome depends on the composition of the population in genotype space. Ecological features such as the taxonomy and…

统计力学 · 物理学 2016-08-31 Matt Hall , Kim Christensen , Simone A. di Collobiano , Henrik Jeldtoft Jensen

Competition indices are models frequently used in ecology to account for the impact of density and resource distribution on the growth of a plant population. They allow to define simple individual-based models, by integrating information…

偏微分方程分析 · 数学 2022-07-06 Antonin Della Noce , Paul-Henry Cournède