PMID: 6505980Oct 1, 1984

Line-of-descent and genealogical processes, and their applications in population genetics models

Theoretical Population Biology
S Tavaré


A variety of results for genealogical and line-of-descent processes that arise in connection with the theory of some classical selectively neutral population genetics models are reviewed. While some new results and derivations are included, the principle aim is to demonstrate the central importance and simplicity of genealogical Markov chains in this theory. Considerable attention is given to "diffusion time scale" approximations of such genealogical processes. A wide variety of results pertinent to (diffusion approximations of) the classical multiallele single-locus Wright-Fisher model and its relatives are simplified and unified by this approach. Other examples where such genealogical processes play an explicit role, such as the infinite sites and infinite alleles models, are discussed.


Jan 1, 1991·Journal of Mathematical Biology·R C Griffiths
Jan 1, 1993·Journal of Mathematical Biology·H B Nath, R C Griffiths
Jan 1, 1989·Journal of Mathematical Biology·T DardenRichard R Hudson
Jan 1, 1987·Journal of Mathematical Biology·F M Hoppe
Jan 1, 1989·Journal of Mathematical Biology·R C Griffiths
Jan 1, 1987·Journal of Mathematical Biology·P Donnelly, S Tavaré
Mar 17, 2009·Journal of Mathematical Biology·Joseph C Watkins
Nov 4, 2009·Journal of Mathematical Biology·M Iizuka
Jul 24, 2010·Journal of Mathematical Biology·Elizabeth S AllmanJohn A Rhodes
Mar 7, 2009·Genetica·Hideki Innan
Mar 30, 2010·Bulletin of Mathematical Biology·Xiaohui Xie
Dec 25, 2010·Bulletin of Mathematical Biology·Raazesh SainudiinPeter Donnelly
Dec 4, 2003·Theoretical Population Biology·Akinori SanoM Iizuka
Apr 7, 2004·Theoretical Population Biology·Marcy K Uyenoyama, Naoki Takebayashi
Dec 5, 2002·Theoretical Population Biology·A PolanskiM Kimmel
Sep 2, 2003·Theoretical Population Biology·R C Griffiths
Aug 1, 1985·Genetical Research·N Takahata
Dec 1, 1988·Genetical Research·N Takahata
Oct 1, 1991·Genetical Research·M Slatkin
Dec 1, 1992·Genetical Research·G A Watterson, P Donnelly
Jan 23, 2008·Genetical Research·Sebastián E Ramos-OnsinsWolfgang Stephan
Apr 1, 1990·Proceedings of the National Academy of Sciences of the United States of America·N Takahata
Aug 15, 1993·Proceedings of the National Academy of Sciences of the United States of America·Y SattaJ Klein
Jan 6, 2012·Journal of Computational Biology : a Journal of Computational Molecular Cell Biology·Ethan M Jewett, Noah A Rosenberg
Apr 26, 2012·Integrative and Comparative Biology·Marcos Pérez-LosadaKeith A Crandall
May 9, 2009·Molecular Biology and Evolution·William Fletcher, Ziheng Yang
Oct 2, 2009·Molecular Biology and Evolution·Jared L Strasburg, Loren H Rieseberg
Mar 17, 2012·Molecular Biology and Evolution·David BryantArindam RoyChoudhury
Apr 20, 2012·Molecular Biology and Evolution·Melinda A YangM Slatkin
Aug 1, 1997·Nucleic Acids Research·G Weiss, A von Haeseler
Sep 11, 2003·Proceedings. Biological Sciences·Laura KvistMarkku Orell
Dec 29, 2000·Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences·M Slatkin
Jul 29, 2005·Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences·Jinliang Wang
Jun 21, 2005·Genome Research·Adele A MitchellDavid J Cutler
Sep 27, 2000·Evolution; International Journal of Organic Evolution·J Wakeley
Jun 1, 2002·Evolution; International Journal of Organic Evolution·Matthew P HareStephen R Palumbi
Jun 1, 2002·Evolution; International Journal of Organic Evolution·Jay F StorzSusan C Alberts
Oct 2, 2002·Evolution; International Journal of Organic Evolution·Richard R Hudson, Jerry A Coyne
Mar 20, 2003·Evolution; International Journal of Organic Evolution·Richard R Hudson, Michael Turelli
Mar 29, 2005·Evolution; International Journal of Organic Evolution·James H Degnan, Laura A Salter
Nov 10, 2001·Annual Review of Genomics and Human Genetics·M Kreitman
Oct 7, 2003·Annual Review of Genomics and Human Genetics·Sarah A Tishkoff, Brian C Verrelli
Feb 26, 2014·BMC Bioinformatics·Yun YuLuay Nakhleh


Apr 1, 1977·Theoretical Population Biology·G A Watterson, H A Guess
Dec 1, 1976·Theoretical Population Biology·K Gladstien
Mar 1, 1972·Theoretical Population Biology·W J Ewens
Dec 1, 1971·Theoretical Population Biology·Joseph Felsenstein
Oct 1, 1968·Proceedings of the National Academy of Sciences of the United States of America·H I Silman, A Karlin
Jan 1, 1983·Bulletin of Mathematical Biology·P Jagers
Apr 1, 1980·Journal of Mathematical Biology·T Nagylaki
Feb 1, 1980·Theoretical Population Biology·R C Griffiths
Mar 15, 1955·Proceedings of the National Academy of Sciences of the United States of America·M Kimura

Related Concepts

Genetics, Population
Genealogical Tree

Trending Feeds


Coronaviruses encompass a large family of viruses that cause the common cold as well as more serious diseases, such as the ongoing outbreak of coronavirus disease 2019 (COVID-19; formally known as 2019-nCoV). Coronaviruses can spread from animals to humans; symptoms include fever, cough, shortness of breath, and breathing difficulties; in more severe cases, infection can lead to death. This feed covers recent research on COVID-19.

Chronic Fatigue Syndrome

Chronic fatigue syndrome is a disease characterized by unexplained disabling fatigue; the pathology of which is incompletely understood. Discover the latest research on chronic fatigue syndrome here.

Synapse Loss as Therapeutic Target in MS

As we age, the number of synapses present in the human brain starts to decline, but in neurodegenerative diseases this occurs at an accelerated rate. In MS, it has been shown that there is a reduction in synaptic density, which presents a potential target for treatment. Here is the latest research on synapse loss as a therapeutic target in MS.

Artificial Intelligence in Cardiac Imaging

Artificial intelligence (ai) techniques are increasingly applied to cardiovascular (cv) medicine in cardiac imaging analysis. Here is the latest research.

Position Effect Variegation

Position Effect Variagation occurs when a gene is inactivated due to its positioning near heterochromatic regions within a chromosome. Discover the latest research on Position Effect Variagation here.

Social Learning

Social learning involves learning new behaviors through observation, imitation and modeling. Follow this feed to stay up to date on the latest research.

Cell Atlas of the Human Eye

Constructing a cell atlas of the human eye will require transcriptomic and histologic analysis over the lifespan. This understanding will aid in the study of development and disease. Find the latest research pertaining to the Cell Atlas of the Human Eye here.

Single Cell Chromatin Profiling

Techniques like ATAC-seq and CUT&Tag have the potential to allow single cell profiling of chromatin accessibility, histones, and TFs. This will provide novel insight into cellular heterogeneity and cell states. Discover the latest research on single cell chromatin profiling here.

Genetic Screens in iPSC-derived Brain Cells

Genetic screening is a critical tool that can be employed to define and understand gene function and interaction. This feed focuses on genetic screens conducted using induced pluripotent stem cell (iPSC)-derived brain cells.

© 2020 Meta ULC. All rights reserved