Pedigree in the biparental Moran model

DOI10.1007/s00285-022-01752-0zbMath1496.92050arXiv2007.15479OpenAlexW4229377612WikidataQ113905367 ScholiaQ113905367MaRDI QIDQ2140017

Yves Le Jan, Camille Coron

Publication date: 20 May 2022

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.15479

zbMATH Keywords

pedigreestationary distributiongenealogy\(k\)-particle Markov chainancestor's genetic contributionbiparental Moran modellarge population size limit

Mathematics Subject Classification ID

Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20) Genetics and epigenetics (92D10)

Cites Work

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• To what extent does genealogical ancestry imply genetic ancestry?
• The distribution of surviving blocks of an ancestral genome
• Coalescent results for diploid exchangeable population models
• Population structure and coalescence in pedigrees: comparisons to the structured coalescent and a framework for inference
• Coalescent patterns in diploid exchangeable population models
• The existence and abundance of ghost ancestors in biparental populations
• Probability on Trees and Networks
• A Flow-Graph Formula for the Stationary Distribution of a Markov Chain
• A convergence theorem for markov chains arising in population genetics and the coalescent with selfing
• Recent common ancestors of all present-day individuals

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