Stochastic Models of Evolution in Genetics, Ecology and Linguistics

Abstract

We give a overview of stochastic models of evolution that have found applications in genetics, ecology and linguistics for an audience of nonspecialists, especially statistical physicists. In particular, we focus mostly on neutral models in which no intrinsic advantage is ascribed to a particular type of the variable unit, for example a gene, appearing in the theory. In many cases these models are exactly solvable and furthermore go some way to describing observed features of genetic, ecological and linguistic systems.

60 pages, 7 figures, for the JSTAT Special Issue relating to the Isaac Newton Institute Programme "The Principles of the Dynamics of Nonequilibrium Systems", Cambridge, 2006

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Cited by in corpus (96)

• Statistical physics of social dynamics
• Colloquium: Criticality and dynamical scaling in living systems
• Diffusive transport without detailed balance in motile bacteria: Does microbiology need statistical physics?
• Approximation and inference methods for stochastic biochemical kinetics - a tutorial review
• Genetic Demixing and Evolutionary Forces in the One-Dimensional Stepping Stone Model
• Statistical Mechanics of Ecological Systems: Neutral Theory and Beyond
• Oscillatory Dynamics in Rock-Paper-Scissors Games with Mutations
• The speed of evolution in large asexual populations
• Evolutionary game theory in growing populations
• Entropy estimates of small data sets
• Multiple-scale stochastic processes: decimation, averaging and beyond
• The Impact of Environmental Fluctuations on Evolutionary Fitness Functions
• Evolution of a Fluctuating Population in a Randomly Switching Environment
• Fixation and consensus times on a network: a unified approach
• Neutral theory and scale-free neural dynamics
• Evolutionary and Population Dynamics: A Coupled Approach
• Population Dynamics in a Changing Environment: Random versus Periodic Switching
• Mean-field analysis of the q-voter model on networks
• Average word length dynamics as indicator of cultural changes in society
• Models of genetic drift as limiting forms of the Lotka-Volterra competition model
• Two-strain competition in quasi-neutral stochastic disease dynamics
• Ordering dynamics of the multi-state voter model
• Epidemic spreading under mutually independent intra- and inter-host pathogen evolution
• Theoretical foundations of studying criticality in the brain
• Eco-Evolutionary Dynamics of a Population with Randomly Switching Carrying Capacity
• Ecological feedback in quorum-sensing microbial populations can induce heterogeneous production of autoinducers
• Dynamic mean-field and cavity methods for diluted Ising systems
• Fixation and Polarization in a Three-Species Opinion Dynamics Model
• How individuals change language
• Muller's ratchet with overlapping generations
• Fast-mode elimination in stochastic metapopulation models
• Evolutionary accessibility in tunably rugged fitness landscapes
• Commitment versus persuasion in the three-party constrained voter model
• Ordering in voter models on networks: Exact reduction to a single-coordinate diffusion
• Langevin equations for reaction-diffusion processes
• Fixation of a Deleterious Allele under Mutation Pressure and Finite Selection Intensity
• A multi-state voter model with imperfect copying
• Evolutionary Dynamics with Fluctuating Population Sizes and Strong Mutualism
• The effect of quenched disorder in neutral theories
• A Multivariate Moran Process with Lotka-Volterra Phenomenology
• Heterogenous mean-field analysis of a generalized voter-like model on networks
• A mapping of the stochastic Lotka-Volterra model to models of population genetics and game theory
• Frequency-dependent fitness induces multistability in coevolutionary dynamics
• On the role of multiple scales in metapopulations of public good producers
• Polarization and Consensus in a Voter Model under Time-Fluctuating Influences
• Non-selective evolution of growing populations
• Coupled environmental and demographic fluctuations shape the evolution of cooperative antimicrobial resistance
• Frequent asymmetric migrations suppress natural selection in spatially structured populations
• Evolutionary Dynamics in a Varying Environment: Continuous versus Discrete Noise
• Solution of the multi-state voter model and application to strong neutrals in the naming game
• Two-timescale evolution on a singular landscape
• Nonlinear group survival in Kimura's model for the evolution of altruism
• Hierarchy of Scales in Language Dynamics
• Stationary solutions for metapopulation Moran models with mutation and selection
• Inferring genetic fitness from genomic data
• Mutant fate in spatially structured populations on graphs: connecting models to experiments
• Spurious memory in non-equilibrium stochastic models of imitative behavior
• Evolution of cooperation in deme-structured populations on graphs
• Coexistence of Competing Microbial Strains under Twofold Environmental Variability and Demographic Fluctuations
• Neutral networks of genotypes: Evolution behind the curtain
• Immigration-induced phase transition in a regulated multispecies birth-death process
• Delays in fitness adjustment can lead to coexistence of hierarchically interacting species
• Generic modes of consensus formation in stochastic language dynamics
• Eco-evolutionary dynamics of cooperative antimicrobial resistance in a population of fluctuating volume and size
• A review of mechanistic and data-driven models of terrorism and radicalization
• Voter model on networks partitioned into two cliques of arbitrary sizes
• Exploiting fast-variables to understand population dynamics and evolution
• Statistical Genetics in and out of Quasi-Linkage Equilibrium (Extended)
• Inferring epistasis from genomic data with comparable mutation and outcrossing rate
• Coexistence in neutral theories: interplay of criticality and mild local preferences
• Neutral Theory for competing attention in social networks
• Perturbative large deviation analysis of non-equilibrium dynamics
• Fast fixation without fast networks
• Statistical Physics of Language Maps in the USA
• Current loops and fluctuations in the zero-range process on a diamond lattice
• Stochastic evolution in populations of ideas
• Time to absorption for a heterogeneous neutral competition model
• Time scales and species coexistence in chaotic flows
• Analysis of a voter model with an evolving number of opinion states
• Cooperation in Microbial Populations: Theory and Experimental Model Systems
• Adaptation and irreversibility in microevolution
• Multi species asymmetric simple exclusion process with impurity activated flips
• Noisy multistate voter model for flocking in finite dimensions
• Error Control for Exponential Integration of the Master Equation
• Voter Model with Arbitrary Degree Dependence: Clout, Confidence and Irreversibility
• Fixation and extinction in time-fluctuating spatially structured metapopulations
• How Many Subpopulations is Too Many? Exponential Lower Bounds for Inferring Population Histories
• Spatial maximum entropy modeling from presence/absence tropical forest data
• Reputation-Driven Voting Dynamics
• Spatial evidence that language change is not neutral
• Neither pulled nor pushed: Genetic drift and front wandering uncover a new class of reaction-diffusion waves
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• Species diversity in a metacommunity with patches connected by periodic coalescence: a neutral model
• The Trap of Presumed Equivalence: Artificial General Intelligence Should Not Be Assessed on the Scale of Human Intelligence
• Mean-field equation for a stochastic many-particle model of quorum-sensing microbial populations
• Explanation, Evolution and Subjective Probability in Everett Quantum Mechanics with Positive Preclusion