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Color naming in natural languages is not arbitrary: it reflects efficient partitions of perceptual color space modulated by the relative needs to communicate about different colors. These psychophysical and communicative constraints help…

Populations and Evolution · Quantitative Biology 2023-05-09 Colin R. Twomey , David H. Brainard , Joshua B. Plotkin

Spatially resolved genetic data is increasingly used to reconstruct the migrational history of species. To assist such inference, we study, by means of simulations and analytical methods, the dynamics of neutral gene frequencies in a…

Populations and Evolution · Quantitative Biology 2008-01-15 Oskar Hallatschek , David R. Nelson

The statistical over-representation of phonological features in the basic vocabulary of languages is often interpreted as reflecting potentially universal sound symbolic patterns. However, most of those results have not been tested…

Computation and Language · Computer Science 2026-03-03 Frederic Blum

This paper studies spatial patterns formed by proximate population migration driven by real wage gradients and other idiosyncratic factors. The model consists of a tractable core-periphery model incorporating a quasi-linear log utility…

Theoretical Economics · Economics 2025-07-23 Kensuke Ohtake

In this paper the spatial-temporal dynamics of the members of interacting populations is described by nonlinear partial differential equations. We consider the migration as a diffusion process influenced by the changing values of the birth…

Exactly Solvable and Integrable Systems · Physics 2012-08-28 Ivan jordanov , Nikolay K. Vitanov , Elena Nikolova

The paper reviews the results obtained for spatial population models and the evolution of the genealogies of these populations during the last decade by the author and his coworkers. The focus is on their large scale behaviour and on the…

Probability · Mathematics 2019-07-17 Andreas Greven

We study the effect that disturbances in the ecological landscape exert on the spatial distribution of a population that evolves according to the nonlocal FKPP equation. Using both numerical and analytical techniques, we explore the three…

Adaptation and Self-Organizing Systems · Physics 2021-07-12 Vivian Dornelas , Eduardo H. Colombo , Cristóbal López , Emilio Hernández-García , Celia Anteneodo

The spread in time of a mutation through a population is studied analytically and computationally in fully-connected networks and on spatial lattices. The time, t_*, for a favourable mutation to dominate scales with population size N as…

Populations and Evolution · Quantitative Biology 2007-05-23 C. J. Paley , S. N. Taraskin , S. R. Elliott

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 addresses the question of how population diffusion affects the formation of the spatial patterns in the spatial epidemic model by Turing mechanisms. In particular, we present theoretical analysis to results of the numerical…

Populations and Evolution · Quantitative Biology 2009-09-29 Quan-Xing Liu , Zhen Jin

The initial motivation for this work was the linguistic case of the spread of Germanic syntactic features into Romance dialects of North-Eastern Italy, which occurred after the immigration of German people to Tyrol during the High Middle…

Computation and Language · Computer Science 2023-09-26 I. Lazzizzera

Understanding the complex nature of spatial information is crucial for problem solving in social and environmental sciences. This study investigates how the underlying patterns of spatial data can significantly influence the outcomes of…

Physics and Society · Physics 2024-09-17 Peng Luo , Yongze Song , Wenwen Li , Liqiu Meng

Consider a population that is expanding in two-dimensional space. Suppose we collect data from a sample of individuals taken at random either from the entire population, or from near the outer boundary of the population. A quantity of…

Probability · Mathematics 2026-03-16 Shirshendu Ganguly , Jason Schweinsberg , Yubo Shuai

Linguistic norms emerge in human communities because people imitate each other. A shared linguistic system provides people with the benefits of shared knowledge and coordinated planning. Once norms are in place, why would they ever change?…

Computation and Language · Computer Science 2014-08-12 Janet B. Pierrehumbert , Forrest Stonedahl , Robert Daland

From some observations on economic behaviors, in particular changing economic conditions with time and space, we develop a very simple model for the evolution of economic entities within a geographical type of framework. We raise a few…

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

We consider populations structured by a phenotypic trait and a space variable, in a non-homogeneous environment. In the case of sex- ual populations, we are able to derive models close to existing mod- els in theoretical biology, from a…

Analysis of PDEs · Mathematics 2011-05-11 Sepideh Mirrahimi , Gael Raoul

Genetic Programming yields interpretable programs, but small syntactic mutations can induce large, unpredictable behavioral shifts, degrading locality and sample efficiency. We frame this as an operator-design problem: learn a continuous…

Machine Learning · Computer Science 2026-02-10 Matthew Siper , Muhammad Umair Nasir , Ahmed Khalifa , Lisa Soros , Jay Azhang , Julian Togelius

The evolution of dispersal rate is studied with a model of several local populations linked by dispersal. Three dispersal strategies are considered where all, half, or none of the offspring disperse. The spatial scale (number of patches)…

Populations and Evolution · Quantitative Biology 2019-03-12 Emmanuel Paradis

We study a general setting of neutral evolution in which the population is of finite, constant size and can have spatial structure. Mutation leads to different genetic types ("traits"), which can be discrete or continuous. Under minimal…

Populations and Evolution · Quantitative Biology 2018-11-02 Alex McAvoy , Ben Adlam , Benjamin Allen , Martin A. Nowak

We describe a continuous-time modelling framework for biological population dynamics that accounts for demographic noise. In the spirit of the methodology used by statistical physicists, transitions between the states of the system are…

Populations and Evolution · Quantitative Biology 2018-07-19 George W. A. Constable , Alan J. McKane