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This paper derives identification, estimation, and inference results using spatial differencing in sample selection models with unobserved heterogeneity. We show that under the assumption of smooth changes across space of the unobserved…

Econometrics · Economics 2020-09-15 Alexander Klein , Guy Tchuente

We consider a generalization of the FKPP equation for the evolution of the spatial density of a single-species population where all the terms are nonlocal. That is, the spatial extension of each process (growth, competition and diffusion)…

Statistical Mechanics · Physics 2025-02-18 G. G. Piva , E. H. Colombo , C. Anteneodo

Abridged abstract: Inert interactions between randomly moving entities and spatial disorder play a crucial role in quantifying the diffusive properties of a system. These interactions affect only the movement of the entities, and examples…

Statistical Mechanics · Physics 2022-09-20 Seeralan Sarvaharman , Luca Giuggioli

This study investigates the role of spatial segregation, prompted by competition avoidance, as a key mechanism for emergent coexistence within microbial communities. Recognizing these communities as complex adaptive systems, we challenge…

Physics and Society · Physics 2024-03-12 Mattia Mattei , Alex Arenas

D. discoideum has been recently suggested as an example of bet-hedging. Upon starvation a population of unicellular amoebae splits between aggregators, which form a fruiting body made of a stalk and resistant spores, and non-aggregators.…

Populations and Evolution · Quantitative Biology 2017-05-18 Ricardo Martinez-Garcia , Corina E. Tarnita

Consider two epidemics whose expansions on $\mathbb{Z}^d$ are governed by two families of passage times that are distinct and stochastically comparable. We prove that when the weak infection survives, the space occupied by the strong one is…

Probability · Mathematics 2016-08-16 Olivier Garet , Régine Marchand

Different voters behave differently, different governments make different decisions, or different organizations are ruled differently. Many research questions important to political scientists concern choice behavior, which involves dealing…

Methodology · Statistics 2020-11-06 Gerhard Tutz , Ingrid Mauerer

Spatial association and heterogeneity are two critical areas in the research about spatial analysis, geography, statistics and so on. Though large amounts of outstanding methods has been proposed and studied, there are few of them tend to…

Econometrics · Economics 2018-03-26 Zihao Yuan

We present a Spatially Embedded Evolutionary Algorithm where robot individuals exist in a physically simulated 2D environment, must navigate to encounter potential mates, and compete for survival under various spatially-aware selection…

Neural and Evolutionary Computing · Computer Science 2026-04-30 Victoria Peterson , Akshat Srivastava , Raghav Prabhakar

Colour vision has long fascinated scientists, who have sought to understand both the physiology of the mechanics of colour vision and the psychophysics of colour perception. We consider representations of colour in anatomically constrained…

Computer Vision and Pattern Recognition · Computer Science 2019-10-25 Ethan Harris , Daniela Mihai , Jonathon Hare

We investigate the evolution of competing languages, a subject where much previous literature suggests that the outcome is always the domination of one language over all the others. Since coexistence of languages is observed in reality, we…

Statistical Mechanics · Physics 2020-04-21 Jean-Marc Luck , Anita Mehta

Evolutionary spatial 2 x 2 games between heterogeneous agents are analyzed using different variants of cellular automata (CA). Agents play repeatedly against their nearest neighbors 2 x 2 games specified by a rescaled payoff matrix with two…

Physics and Society · Physics 2009-11-11 Hugo Fort , Estrella Sicardi

The model of competition between densities of two different species, called predator and prey, is studied on a one dimensional periodic lattice, where each site can be in one of the four states say, empty, or occupied by a single predator,…

Statistical Mechanics · Physics 2011-06-02 Rakesh Chatterjee , P. K. Mohanty , Abhik Basu

Spatial pattern formation is a key feature of many natural systems in physics, chemistry and biology. The essential theoretical issue in understanding pattern formation is to explain how a spatially homogeneous initial state can undergo…

Pattern Formation and Solitons · Physics 2015-06-04 Timothy Killingback , Gregory Loftus , Bala Sundaram

Understanding political phenomena requires measuring the political preferences of society. We introduce a model based on mixtures of spatial voting models that infers the underlying distribution of political preferences of voters with only…

Computers and Society · Computer Science 2016-10-27 Alison Nahm , Alex Pentland , Peter Krafft

The current paper is concerned with the asymptotic dynamics of two species competition systems with/without chemotaxis in heterogeneous media. In the previous work \cite{ITBWS17a}, we find conditions on the parameters in such systems for…

Dynamical Systems · Mathematics 2018-08-09 Tahir Bachar Issa , Wenxian Shen

In this note we consider situations of (multidimensional) spatial majority voting. We show that under some assumptions usual in this literature, with an even number of voters if the core of the voting situation is singleton (and in the…

Theoretical Economics · Economics 2022-08-16 Anindya Bhattacharya , Francesco Ciardiello

The May-Leonard model for three competing species, symmetric with respect to cyclic permutation of the variables and extended by diffusive terms, is considered. Exact time-periodic solutions of the system have been found, and their…

Mathematical Physics · Physics 2025-02-26 Idan Sorin , Alexander Nepomnyashchy , Vladimir Volpert

Spatial transcriptomics has revolutionized tissue analysis by simultaneously mapping gene expression, spatial topography, and histological context across consecutive tissue sections, enabling systematic investigation of spatial…

Applications · Statistics 2025-10-24 Meng Zhou , Shuangge Ma , Mengyun Wu

Despite the abundance of methods for variable selection and accommodating spatial structure in regression models, there is little precedent for incorporating spatial dependence in covariate inclusion probabilities for regionally varying…

Methodology · Statistics 2012-09-05 Kristian Lum