On the Simpson index for the Wright–Fisher process with random selection and immigration
From MaRDI portal
Publication:4984953
DOI10.1142/S1793524520500461zbMath1458.92084arXiv1809.08890MaRDI QIDQ4984953
Arnaud Personne, Arnaud Guillin, Franck Jabot
Publication date: 21 April 2021
Published in: International Journal of Biomathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1809.08890
random immigrationrandom selectionSimpson indexmoment's closuremultidimensional Wright-Fisher process
Population dynamics (general) (92D25) Ecology (92D40) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)
Related Items (3)
Comparison principles and applications to mathematical modelling of vegetal meta-communities ⋮ Moran models and Wright–Fisher diffusions with selection and mutation in a one-sided random environment ⋮ Combinatorics of ancestral lines for a Wright-Fisher diffusion with selection in a Lévy environment
Cites Work
- Unnamed Item
- Unnamed Item
- Random models in ecology and evolution
- An explicit transition density expansion for a multi-allelic Wright-Fisher diffusion with general diploid selection
- Species-abundance distributions under colored environmental noise
- Environmental variation, fluctuating selection and genetic drift in subdivided populations
- On the distribution of allele frequencies in a diffusion model
- Equations différentielles provenant de la genetique des populations
- Ancestral processes with selection
- Mathematical population genetics. I: Theoretical introduction.
- Fixation and absorption in a fluctuating environment
- The effect of environmental stochasticity on species richness in neutral communities
- Environmental stochasticity and the speed of evolution
- Impact of demography on extinction/fixation events
- Stability of two-species communities: drift, environmental stochasticity, storage effect and selection
- On the validity of the log-Sobolev inequality for symmetric Fleming-Viot operators.
- Tree-valued Fleming-Viot dynamics with mutation and selection
- Quantitative approximation of the discrete Moran process by a Wright-Fisher diffusion
- Rate of convergence for ergodic continuous Markov processes: Lyapunov versus Poincaré
- Multidimensional diffusion processes.
- The parabolic differential equations and the associated semigroups of transformation
- The infinitely-many-neutral-alleles diffusion model
- Error estimate for the diffusion approximation of the Wright--Fisher model.
- Equilibrium behavior of population genetic models with non-random mating. Part II: Pedigrees, Homozygosity and Stochastic Models
- Measurement of Diversity
- Diffusion Processes in One Dimension
This page was built for publication: On the Simpson index for the Wright–Fisher process with random selection and immigration
