Evidence map›Paper›PMID 31073694›Full record

ArticleJournal of mathematical biology2019

Structural properties of the seed bank and the two island diffusion.

Jochen Blath, Eugenio Buzzoni, Adrián González Casanova, Maite Wilke-Berenguer

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Article in Journal of mathematical biology, 2019. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 1 paper.

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1citing papers in PubMed
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1 · What the graph read from it

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3 · Its place in the literature

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1 citing paper in PubMed.

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4 · The record

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5 · Who and what money

Authors and funding

4 authors.

Jochen BlathInstitut für Mathematik, Technische Universität Berlin, Berlin, Germany.
Eugenio BuzzoniInstitut für Mathematik, Technische Universität Berlin, Berlin, Germany.
Adrián González CasanovaWeierstraß-Institut Berlin, Berlin, Germany.
Maite Wilke-BerenguerFakultät für Mathematik, Ruhr-Universität Bochum, Bochum, Germany. maite.wilkeberenguer@ruhr-uni-bochum.de.

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

Abstract

We investigate various aspects of the (biallelic) Wright-Fisher diffusion with seed bank in conjunction with and contrast to the two-island model analysed e.g. in Kermany et al. (Theor Popul Biol 74(3):226-232, 2008) and Nath and Griffiths (J Math Biol 31(8):841-851, 1993), including moments, stationary distribution and reversibility, for which our main tool is duality. Further, we show that the Wright-Fisher diffusion with seed bank can be reformulated as a one-dimensional stochastic delay differential equation, providing an elegant interpretation of the age structure in the seed bank also forward in time in the spirit of Kaj et al. (J Appl Probab 38(2):285-300, 2001). We also provide a complete boundary classification for this two-dimensional SDE using martingale-based reasoning known as McKean's argument.

Indexed as

Evolution, MolecularGenetic DriftModels, GeneticComputer SimulationGene FrequencyGenetics, PopulationHaploidySelection, GeneticStochastic ProcessesBoundary classificationDualityReversibilitySeed bank coalescentStochastic delay differential equationTwo island modelWright–Fisher diffusion

Identifiers

PMID31073694

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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.