The effective size of fluctuating populations.

DOI10.1006/tpbi.2001.1521zbMath1043.92023OpenAlexW2012610242WikidataQ47202256 ScholiaQ47202256MaRDI QIDQ1427701

Masaru Iizuka

Publication date: 14 March 2004

Published in: Theoretical Population Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/tpbi.2001.1521

Mathematics Subject Classification ID

Problems related to evolution (92D15) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20)

Related Items (6)

Coalescent process with fluctuating population size and its effective size ⋮ Convergence to the coalescent in populations of substantially varying size ⋮ Effective population size of a population with stochastically varying size ⋮ Allele fixation in a dynamic metapopulation: founder effects vs refuge effects ⋮ Environmental fluctuations and level of density-compensation strongly affects the probability of fixation and fixation times ⋮ Exact Markov chains versus diffusion theory for haploid random mating

Cites Work

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• Weak convergence of a sequence of stochastic difference equations to a stochastic ordinary differential equation
• Weak convergence of discrete time non-Markovian processes related to selection models in population genetics
• The inbreeding effective number and the effective number of alleles in a population that varies in size
• The genetic balance between random sampling and random population size
• Diffusion models of temporally varying selection in population genetics
• A genealogical approach to variable-population-size models in population genetics
• Conditions for fixation of an allele in the density-dependent wright–Fisher models
• Effect of temporal fluctuation of selection coefficient on gene frequency in a population.
• Diffusion approximations to linear stochastic difference equations with stationary coefficients

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