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Simulation models are an absolute necessity in the human and social sciences, which can only very exceptionally use experimental science methods to construct their knowledge. Models enable the simulation of social processes by replacing the…

Computers and Society · Computer Science 2020-01-06 J. Raimbault , D. Pumain

1. Theoretical models pertaining to feedbacks between ecological and evolutionary processes are prevalent in multiple biological fields. An integrative overview is currently lacking, due to little crosstalk between the fields and the use of…

We propose PALPS, a Process Algebra with Locations for Population Systems. PALPS allows us to produce spatially-explicit, individual-based models and to reason about their behavior. Our calculus has two levels: at the first level we may…

Logic in Computer Science · Computer Science 2012-11-20 Margarita Antonaki , Anna Philippou

The study of interactions between multiple species in an ecosystem is an active and impactful direction of inquiry. This is true in particular for fragile systems in which even small perturbations of their functional parameters can produce…

Populations and Evolution · Quantitative Biology 2025-01-14 Anca Radulescu , Richard Halpern , Drew Kozlowski , Conor O'Riordan

Biological systems are often modelled at different levels of abstraction depending on the particular aims/resources of a study. Such different models often provide qualitatively concordant predictions over specific parametrisations, but it…

Machine Learning · Statistics 2016-05-10 Giulio Caravagna , Luca Bortolussi , Guido Sanguinetti

We introduce a broad class of spatial models to describe how spatially heterogeneous populations live, die, and reproduce. Individuals are represented by points of a point measure, whose birth and death rates can depend both on spatial…

Probability · Mathematics 2024-01-02 Alison M. Etheridge , Thomas G. Kurtz , Ian Letter , Peter L. Ralph , Terence Tsui Ho Lung

Animals use various processes to inform themselves about their environment and make decisions about how to move and form their territory. In some cases, populations inform themselves of competing groups through observations at distances,…

Populations and Evolution · Quantitative Biology 2022-11-17 Erin Ellefsen , Nancy Rodriguez

Computer simulations have become an important tool across the biomedical sciences and beyond. For many important problems several different models or hypotheses exist and choosing which one best describes reality or observed data is not…

Quantitative Methods · Quantitative Biology 2010-01-20 Tina Toni , Michael P. H. Stumpf

Accurate biodiversity monitoring is essential for effective environmental policy, yet current practices often rely on arbitrarily defined ecosystems, communities, and ad-hoc indicator species, limiting cost-efficiency and reproducibility.…

Applications · Statistics 2025-12-02 Braden Scherting , Otso Ovaskainen , Tomas Roslin , David B. Dunson

Simulations of the coevolution of many interacting species are performed using the Webworld model. The model has a realistic set of predator-prey equations that describe the population dynamics of the species for any structure of the food…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Christopher Quince , Paul G. Higgs , Alan J. McKane

Mathematical modelling and numerical simulations of interaction populations are crucial topics in systems biology. The interactions of ecological models may occur among individuals of the same species or individuals of different species.…

Quantitative Methods · Quantitative Biology 2017-09-04 Sarbaz H. A. Khoshnaw

We discuss the relevance of studying ecology within the framework of Complexity Science from a statistical mechanics approach. Ecology is concerned with understanding how systems level properties emerge out of the multitude of interactions…

Populations and Evolution · Quantitative Biology 2007-09-14 Henrik Jeldtoft Jensen , Elsa Arcaute

Comparative and evolutive ecologists are interested in the distribution of quantitative traits among related species. The classical framework for these distributions consists of a random process running along the branches of a phylogenetic…

Applications · Statistics 2017-08-24 Paul Bastide , Mahendra Mariadassou , Stéphane Robin

We propose a model of multispecies populations surviving on distributed resources. System dynamics are investigated under changes in abiotic factors such as the climate, as parameterized through environmental temperature. In particular, we…

Populations and Evolution · Quantitative Biology 2017-10-25 I. Sudakov , S. A. Vakulenko , D. Kirievskaya , K. M. Golden

This paper focuses on a core task in computational sustainability and statistical ecology: species distribution modeling (SDM). In SDM, the occurrence pattern of a species on a landscape is predicted by environmental features based on…

Machine Learning · Computer Science 2021-02-19 Eugene Seo , Rebecca A. Hutchinson , Xiao Fu , Chelsea Li , Tyler A. Hallman , John Kilbride , W. Douglas Robinson

Species complexes are groups of closely related populations exchanging genes through dispersal. We study the dynamics of the structure of species complexes in a class of metapopulation models where demes can exchange genetic material…

Populations and Evolution · Quantitative Biology 2026-03-26 Amaury Lambert , Emmanuel Schertzer , Yannic Wenzel

This chapter aims to inform a practitioner about current methods for predicting potential distributions of invasive species. It mostly addresses single species models, covering the conceptual bases, touching on mechanistic models, and then…

Populations and Evolution · Quantitative Biology 2015-07-31 Jane Elith

We are interested in modelling Darwinian evolution, resulting from the interplay of phenotypic variation and natural selection through ecological interactions. Our models are rooted in the microscopic, stochastic description of a population…

Probability · Mathematics 2016-08-16 Nicolas Champagnat , Régis Ferrière , Sylvie Méléard

In this paper, we introduce a two-sex controlled branching model to describe the interaction between predator and prey populations with sexual reproduction. This process is a two-type branching process, where the first type corresponds to…

Probability · Mathematics 2019-10-31 Cristina Gutierrez , Carmen Minuesa

Urban evolution processes occur at different scales, with intricate interactions between levels and relatively distinct type of processes. To what extent actual urban dynamics include an actual strong coupling between scales, in the sense…

Physics and Society · Physics 2021-02-01 Juste Raimbault