It is generally difficult for a large population at a fitness peak to acquire the genotypes of a higher peak, because the intermediates produced by allelic recombination between types at different peaks are of lower fitness. In his shifting-balance theory, Wright proposed that fitter genotypes could, however, become fixed in small isolated demes by means of random genetic fluctuations. These demes would then try to spread their genome to nearby demes by migration of their individuals. The resulting polymorphism, the coexistence of individuals with different genotypes, would give the invaded demes a chance to move up to a higher fitness peak. This last step of the process, namely, the invasion of lower fitness demes by higher fitness genotypes, is known as phase III of Wright s theory. Here we study the invasion process from the point of view of the stability of polymorphic populations. Invasion occurs when the polymorphic equilibrium, established at low migration rates, becomes unstable. We show that the instability threshold depends sensitively on the average number of breeding seasons of individuals. Iteroparous species ~with many breeding seasons! have lower thresholds than semelparous species ~with a single breeding season!. By studying a particular simple model, we are able to provide analytical estimates of the migration threshold as a function of the number of breeding seasons. Once the threshold is crossed and polymorphism becomes unstable, any imbalance between the different demes is sufficient for invasion to occur. The outcome of the invasion, however, depends on many parameters, not only on fitness. Differences in fitness, site capacities, relative migration rates, and initial conditions, all contribute to determine which genotype invades successfully. Contrary to the original perspec-tive of Wright s theory for continuous fitness improvement, our results show that both upgrading to higher fitness peaks and downgrading to lower peaks are possible.
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Stability and instability of polymorphic populations and the role of multiple breeding seasons in phase III of Wright s shifting balance theory
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Conditions for neutral speciation via isolation by distance
A conjugate for the Bargmann representation
A New Form of Path Integral for the Coherent States Representation and its Semiclassical Limit
A New Form of Path Integral for the Coherent States Representation and its Semiclassical Limit
A Regular Semiclassical Approximation for the Propagation of Wave Packets with Complex Trajectories
A Semiclassical Coherent-State Propagator via Path Integrals with Intermediate States of Variable Width
A semiclassical trace formula for the canonical partition function of one dimensional systems
A Uniform Approximation for the Coherent States Propagator using a Conjugate Application of the Bargmann Representation
An analytically solvable model of probabilistic network dynamics
An Initial Value Representation for the Coherent State Propagator with Complex Trajectories
Biodiversity, species interactions and ecological networks in a fragmented world
Boundary integral method for quantum billiards in a constant magnetic field
Build-up mechanisms determining the topology of mutualistic networks.
Chaos and pattern formation in a spatial tritrophic food chain
Chaos in one-dimensional lattices under intense laser fields
Chaotic signature in the motion of coupled carbon nanotube oscillators
Chaotic-to-regular transition in a semiclassical electron gas
Classical Chaos as an Enviroment for Dissipation Chaos
Classical Dissipation and Asymptotic Equilibrium via Interaction with Chaotic Systems
Coherent State Path Integrals in the Weyl Representation
Comment on Semiclassical approximations in phase space with coherent states By Frank Grossmann and Michael F Herman
Comment on Semiclassical approximations in phase space with coherent states
Complex Trajectories in the Quartic Oscillator and Its Semiclassical Coherent-State Propagator
Controlling Phase Space Caustics in the Semiclassical Coherent State Propagator
Effects of finite temperature in ballistic quantum dots
Eigenfunctions of the Liouville Operator, Periodic Orbits and the Principle of Uniformity
Eigenvalues and eigenfunctions of billiards in a constant magnetic field
Einstein e a teoria do caos quântico
Energy Dissipation Via Coupling With a Finite Chaotic Environment
Energy transfer dynamics and thermalization of two oscillators interacting via chaos
Entanglement and chaos in a square billiard with magnetic field
Especiação espontânea em populações espacialmente distribuidas e padrões de diversidade
Evaluation of the semiclassical coherent state propagator in the presence of phase space caustics
Evolution in Spatial Predator-Prey Models and the Prudent Predator: The Inadequacy of Steady-State Organism Fitness and the Concept of Individual and Group Selection
Evolutionary consequences of assortativeness in haploid genotypes
Generalized coherent states for the double-well potential
Global patterns of speciation and diversity
Home range evolution and its implication in population outbreaks
Host-parasitoid persistence over variable spatio-temporally susceptible habitats: bottom-up effects of ephemeral resources
Impacts of enemy-mediated effects and the additivity of interactions in an insect trophic system
Initial value representation for the SU(n) semiclassical propagator
Interplay between Turing pattern formation and domain coarsening in spatially extended population models
Invasion and Extinction in the Mean Field Approximation for a Spatial Host-Pathogen Model
Mean Field Approximation To a Spatial Host-Pathogen Model
Multilevel and kin selection in a connected world
Near equilibrium dynamics of nonhomogeneous Kirchhoff filaments in viscous media
O papel do espaço em modelos ecológicos
On the one-dimensional helium atom
Orbital magnetism in ensembles of parabolic potentials
Patch exploitation strategies of parasitoids: the role of sex ratio and forager’s interference in structuring metapopulations
Pattern formation, outbreaks and synchronization in food chains with two and three species
Periodic orbits in magnetic billiards
Phase space flow in the Husimi representation
Phase-Space Approach to the Tunnel Effect: A New Semiclassical Traversal Time
Predicting economic market crises using measures of collective panic
Quantum Dissipation and Decoherence via Interaction with Low-Dimensional Chaos: a Feynman-Vernon Approach
Quantum linear mutual information and classical correlations in globally pure bipartite systems
Quantum-classical correspondence in the phase control of multiphoton dissociation by two-color laser pulses
Random initial condition in small Barabasi-Albert networks and deviations from the scale-free behavior
Random initial condition in small Barabasi-Albert networks and deviations from the scale-free behavior
Reply to Comment on Semiclassical approximations in phase space with coherent states
Resonant helical deformations in nonhomogeneous Kirchhoff filaments
Robustness Against Extinction by Stochastic Sex Determination in Small Populations
Robustness of Spontaneous Pattern Formation in Spatially Distributed Genetic Populations
Scars of Periodic Orbits in the Stadium Action Billiard
Scars of the Wigner Function
Searching for Modular Structure in Complex Phenotypes: Inferences from Network Theory
Semiclassical Approximations Based on Complex Trajectories
Semiclassical approximations in phase space with coherent states
Semiclassical approximations to the coherent-state propagator for a particle in a box
Semiclassical coherent state propagator for systems with spin
Semiclassical Husimi Functions for Spin Systems
Semiclassical propagation of coherent states using complex and real trajectories
Semiclassical Propagation of Wavepackets with Complex Trajectories
Semiclassical propagator for SU(n) coherent states
Semiclassical Tunneling of Wavepackets with Real Trajectories
Short range interactions in a two-electron system: energy levels and magnetic properties
Evolution and Stability of Ring Species
Solving the boundary value problem for finite Kirchhoff rods
Spectral Analysis and the Dynamic Response of Complex Networks
Spontaneous pattern formation and genetic invasion in locally mating and competing populations
Stability and instability of polymorphic populations and the role of multiple breeding seasons in phase III of Wright s shifting balance theory
Synchronization and Stability in Noisy Population Dynamics
The Missing Part of Seed Dispersal Networks: Structure and Robustness of Bat-Fruit Interactions
The Modularity of seed dispersal: differences in structure and robustness between bat- and bird- fruit networks
The Moran model as a dynamical process on networks and its implications for neutral speciation
The role of predator overlap in the robustness and extinction of a four species predator-prey network
The role of predator overlap in the robustness and extinction of a four species predator-prey network
The role of sex separation in neutral speciation
The shape of the competition and carrying capacity kernels affects the likelihood of disruptive selection
Trace formula for systems with spin from the coherent state propagator
Transitions Between Periodic Orbits and Control of Chaos Assisted by an External Force in Hamiltonian Systems
Turing patterns and apparent competition in predator-prey food webs on networks
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