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We propose a probabilistic cellular automata model for the spread of innovations, rumors, news, etc. in a social system. The local rule used in the model is outertotalistic, and the range of interaction can vary. When the range R of the…

adap-org · Physics 2008-02-03 Henryk Fuks , Nino Boccara

The traffic-like collective movement of ants on a trail can be described by a stochastic cellular automaton model. We have earlier investigated its unusual flow-density relation by using various mean field approximations and computer…

Statistical Mechanics · Physics 2009-11-10 A. Kunwar , A. John , K. Nishinari , A. Schadschneider , D. Chowdhury

We aim to identify the spatial distribution of vegetation and its growth dynamics with the purpose of obtaining a qualitative assessment of vegetation characteristics tied to its condition, productivity and health, and to land degradation.…

Statistical Mechanics · Physics 2024-09-16 Hediye Yarahmadi , Yves Desille , John Goold , Francesca Pietracaprina

Neural Cellular Automata (NCA) are a powerful combination of machine learning and mechanistic modelling. We train NCA to learn complex dynamics from time series of images and PDE trajectories. Our method is designed to identify underlying…

Pattern Formation and Solitons · Physics 2024-04-23 Alex D. Richardson , Tibor Antal , Richard A. Blythe , Linus J. Schumacher

In spatio-temporal point pattern analysis, one of the main statistical objectives is to estimate the first-order intensity function, i.e., the expected number of points per unit area and unit time. This estimation is usually carried out…

Methodology · Statistics 2022-08-26 Jonatan A. González , Paula Moraga

Agricultural systems experience land-use changes that are driven by population growth and intensification of technological inputs. This results in land-use and cover change (LUCC) dynamics representing a complex landscape transformation…

General Economics · Economics 2022-02-28 Diego Ferraro , Daniela Blanco , Sebastián Pessah , Rodrigo Castro

This study focuses on an extended model of a standard cellular automaton (CA) that includes an extra index consisting of a radius that defines a perception area for each cell in addition to the radius defined by the CA rule. Extended…

Computational Complexity · Computer Science 2015-12-22 Yoshihiko Kayama

We present an analytically tractable variant of the voter model that provides a quantitatively accurate description of beta-diversity (two-point correlation function) in two tropical forests. The model exhibits novel scaling behavior that…

Populations and Evolution · Quantitative Biology 2007-05-23 Tommaso Zillio , Igor Volkov , Jayanth R. Banavar , Stephen P. Hubbell , Amos Maritan

Accurate predictions and representations of plant growth patterns in simulated and controlled environments are important for addressing various challenges in plant phenomics research. This review explores various works on state-of-the-art…

Quantitative Methods · Quantitative Biology 2025-07-17 Mohamed Debbagh , Shangpeng Sun , Mark Lefsrud

A punctuated equilibrium model of biological evolution with relative fitness between different species being the fundamental driving force of evolution is introduced. Mutation is modeled as a fitness updating cellular automaton process…

Condensed Matter · Physics 2015-06-25 H. F. Chau , L. Mak , P. K. Kwok

In this paper I describe a cellular automaton model of a multi-species ecosystem, suitable for the study of emergent properties of macroevolution. Unlike majority of ecological models, the number of coexisting species is not fixed. Starting…

Populations and Evolution · Quantitative Biology 2009-09-23 Wojciech Borkowski

Artificial life models, swarm intelligent and evolutionary computation algorithms are usually built on fixed size populations. Some studies indicate however that varying the population size can increase the adaptability of these systems and…

Multiagent Systems · Computer Science 2007-05-23 Carlos Fernandes , Vitorino Ramos , Agostinho C. Rosa

I consider the use of Markov random fields (MRFs) on a fine grid to represent latent spatial processes when modeling point-level and areal data, including situations with spatial misalignment. Point observations are related to the grid cell…

Methodology · Statistics 2013-04-09 Christopher J. Paciorek

An introduction to cellular automata (both deterministic and probabilistic) with examples. Definition of deterministic automata, dynamical properties, damage spreading and Lyapunov exponents; probabilistic automata and Markov processes,…

Statistical Mechanics · Physics 2007-05-23 Franco Bagnoli

We show techniques of analyzing complex dynamics of cellular automata (CA) with chaotic behaviour. CA are well known computational substrates for studying emergent collective behaviour, complexity, randomness and interaction between order…

Cellular Automata and Lattice Gases · Physics 2012-03-29 Genaro J. Martinez , Andrew Adamatzky , Ramon Alonso-Sanz

We study a spatially explicit harvesting model in periodic or bounded environments. The model is governed by a parabolic equation with a spatially dependent nonlinearity of Kolmogorov--Petrovsky--Piskunov type, and a negative external…

Analysis of PDEs · Mathematics 2010-06-15 Lionel Roques , Mickaël D. Chekroun

Ant species such as Temnothorax albipennis select a new nest site in a distributed fashion that, if modeled correctly, can serve as useful information for site selection algorithms for robotic swarms and other applications. Studying and…

Multiagent Systems · Computer Science 2021-06-15 Grace Cai , Wendy Wu , Wayne Zhao , Jiajia Zhao , Nancy Lynch

Many ant species employ distributed population density estimation in applications ranging from quorum sensing [Pra05], to task allocation [Gor99], to appraisal of enemy colony strength [Ada90]. It has been shown that ants estimate density…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-06-08 Cameron Musco , Hsin-Hao Su , Nancy Lynch

Recently developed spatial capture-recapture (SCR) models represent a major advance over traditional capture-recapture (CR) models because they yield explicit estimates of animal density instead of population size within an unknown area.…

Applications · Statistics 2014-01-29 Richard B. Chandler , J. Andrew Royle

We present studies for an individual based model of three interacting populations whose individuals are mobile in a 2D-lattice. We focus on the pattern formation in the spatial distributions of the populations. Also relevant is the…

Populations and Evolution · Quantitative Biology 2007-12-18 I. C. Charret , M. V. Carneiro