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We introduce a model in which city populations grow at rates proportional to the area of their "sphere of influence", where the influence of a city depends on its population (to power \alpha) and distance from city (to power -\beta) and…

物理与社会 · 物理学 2012-09-25 David Aldous , Bowen Huang

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…

物理与社会 · 物理学 2014-07-18 Rémi Louf , Marc Barthelemy

Humans are the ultimate ecosystem engineers who have profoundly transformed the world's landscapes in order to enhance their survival. Somewhat paradoxically, however, sometimes the unforeseen effect of this ecosystem engineering is the…

种群与进化 · 定量生物学 2018-01-15 José F. Fontanari

In this paper, we show that different types of evolutionary game dynamics are, in principle, special cases of a dynamical system model based on our previously reported framework of generalized growth transforms. The framework shows that…

神经与进化计算 · 计算机科学 2018-11-07 Oindrila Chatterjee , Shantanu Chakrabartty

For past several decades, research efforts in population modelling has proven its efficacy in understanding the basic information about residential and commercial areas, as well as for the purposes of planning, development and improvement…

社会与信息网络 · 计算机科学 2016-06-29 Gautam S. Thakur , Kevin A. Sparks , Robert N. Stewart , Marie L. Urban , Budhendra L. Bhaduri

We examine the feasibility of predicting and subsequently managing the future evolution of a Complex Adaptive System. Our archetypal system mimics a competitive population of mechanical, biological, informational or human objects. We show…

无序系统与神经网络 · 物理学 2007-05-23 David M. D. Smith , Neil F. Johnson

In the pursuit of ever increasing efficiency and growth, our economies have evolved to remarkable degrees of complexity, with nested production processes feeding each other in order to create products of greater sophistication from less…

经济学 · 定量金融 2017-04-05 Marco Bardoscia , Giacomo Livan , Matteo Marsili

The aim of this work is to put forward a statistical mechanics theory of social interaction, generalizing econometric discrete choice models. After showing the formal equivalence linking econometric multinomial logit models to equilibrium…

物理与社会 · 物理学 2009-07-16 Ignacio Gallo

We propose a metapopulation version of the Schelling model where two kinds of agents relocate themselves, with unconstrained destination, if their local fitness is lower than a tolerance threshold. We show that, for small values of the…

物理与社会 · 物理学 2015-05-05 Floriana Gargiulo , Yerali Gandica , Timoteo Carletti

This paper is mainly devoted to lay an empirical foundation for further research on complex spatial dynamics of two-population interaction. Based on the US population census data, a rural and urban population interaction model is developed.…

物理与社会 · 物理学 2016-06-14 Yanguang Chen , Feng Xu

Population-based evolutionary algorithms (EAs) have been widely applied to solve various optimization problems. The question of how the performance of a population-based EA depends on the population size arises naturally. The performance of…

神经与进化计算 · 计算机科学 2013-05-13 Jun He , Tianshi Chen , Boris Mitavskiy

We propose a class of evolutionary models that involves an arbitrary exchangeable process as the breeding process and different selection schemes. In those models, a new genome is born according to the breeding process, and then a genome is…

神经与进化计算 · 计算机科学 2020-08-25 Jüri Lember , Chris Watkins

Population diversity is crucial in evolutionary algorithms as it helps with global exploration and facilitates the use of crossover. Despite many runtime analyses showing advantages of population diversity, we have no clear picture of how…

神经与进化计算 · 计算机科学 2023-04-20 Johannes Lengler , Andre Opris , Dirk Sudholt

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…

物理与社会 · 物理学 2020-04-22 Basil Grammaticos , Ralph Willox , Junkichi Satsuma

Population-based learning paradigms, including evolutionary strategies, Population-Based Training (PBT), and recent model-merging methods, combine fast within-model optimisation with slower population-level adaptation. Despite their…

机器学习 · 计算机科学 2026-03-26 Giacomo Borghi , Hyesung Im , Lorenzo Pareschi

Recent researches on complex systems highlighted the so-called super-linear growth phenomenon. As the system size $P$ measured as population in cities or active users in online communities increases, the total activities $X$ measured as GDP…

物理与社会 · 物理学 2012-12-21 Jiang Zhang

Since steep declines in a population's size also typically alter its composition, population bottlenecks are considered highly important for evolution. However, despite such significance, the mechanisms governing the impact of a given…

种群与进化 · 定量生物学 2022-06-28 Emanuele Crosato , Jeffrey N. Philippson , Shashi Thutupalli , Richard G. Morris

The study of population dynamics originated with early sociological works but has since extended into many fields, including biology, epidemiology, evolutionary game theory, and economics. Most studies on population dynamics focus on the…

机器学习 · 计算机科学 2024-06-07 Noah Golowich , Elad Hazan , Zhou Lu , Dhruv Rohatgi , Y. Jennifer Sun

We consider a class of physiologically structured population models, a first order nonlinear partial differential equation equipped with a nonlocal boundary condition, with a constant external inflow of individuals. We prove that the…

偏微分方程分析 · 数学 2019-03-25 Jozsef Z. Farkas

Quantifying the spatial organization of human settlements is fundamental to understanding the complexity of urban systems. However, the quantitative patterns of the distribution of villages, towns, and cities that lie between random and…

物理与社会 · 物理学 2023-07-06 Lei Dong